TSTP Solution File: SYN475+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SYN475+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n015.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 : Fri Sep 1 03:27:53 EDT 2023
% Result : Theorem 263.54s 36.31s
% Output : Proof 268.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN475+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 18:45:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.63 ________ _____
% 0.21/0.63 ___ __ \_________(_)________________________________
% 0.21/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.63
% 0.21/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.63 (2023-06-19)
% 0.21/0.63
% 0.21/0.63 (c) Philipp Rümmer, 2009-2023
% 0.21/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.63 Amanda Stjerna.
% 0.21/0.63 Free software under BSD-3-Clause.
% 0.21/0.63
% 0.21/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.63
% 0.21/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.64 Running up to 7 provers in parallel.
% 0.21/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 5.12/1.47 Prover 3: Preprocessing ...
% 5.12/1.47 Prover 2: Preprocessing ...
% 5.12/1.48 Prover 1: Preprocessing ...
% 5.12/1.48 Prover 6: Preprocessing ...
% 5.12/1.48 Prover 4: Preprocessing ...
% 5.12/1.48 Prover 0: Preprocessing ...
% 5.44/1.50 Prover 5: Preprocessing ...
% 10.33/2.17 Prover 5: Proving ...
% 10.33/2.18 Prover 2: Proving ...
% 12.62/2.48 Prover 6: Proving ...
% 12.62/2.48 Prover 1: Constructing countermodel ...
% 12.80/2.49 Prover 3: Constructing countermodel ...
% 16.66/3.04 Prover 4: Constructing countermodel ...
% 17.24/3.14 Prover 0: Proving ...
% 72.29/10.34 Prover 2: stopped
% 72.29/10.35 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 72.95/10.48 Prover 7: Preprocessing ...
% 74.14/10.61 Prover 7: Warning: ignoring some quantifiers
% 74.14/10.61 Prover 7: Constructing countermodel ...
% 98.92/13.99 Prover 5: stopped
% 98.92/13.99 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 101.82/14.15 Prover 8: Preprocessing ...
% 102.98/14.34 Prover 8: Warning: ignoring some quantifiers
% 103.36/14.36 Prover 8: Constructing countermodel ...
% 115.77/15.99 Prover 1: stopped
% 115.77/15.99 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 116.41/16.08 Prover 9: Preprocessing ...
% 117.28/16.38 Prover 9: Constructing countermodel ...
% 130.66/17.91 Prover 6: stopped
% 130.66/17.92 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 131.23/18.04 Prover 10: Preprocessing ...
% 131.23/18.07 Prover 10: Warning: ignoring some quantifiers
% 131.91/18.07 Prover 10: Constructing countermodel ...
% 203.49/27.99 Prover 4: stopped
% 203.49/28.00 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 205.08/28.11 Prover 11: Preprocessing ...
% 207.65/28.45 Prover 11: Constructing countermodel ...
% 222.84/30.56 Prover 7: stopped
% 222.84/30.56 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391
% 222.84/30.63 Prover 12: Preprocessing ...
% 224.27/30.78 Prover 12: Proving ...
% 231.12/31.71 Prover 12: stopped
% 231.12/31.71 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 231.64/31.79 Prover 13: Preprocessing ...
% 231.96/31.84 Prover 13: Warning: ignoring some quantifiers
% 231.96/31.85 Prover 13: Constructing countermodel ...
% 253.30/34.84 Prover 13: stopped
% 253.30/34.84 Prover 14: Options: -triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=414236379
% 253.65/34.92 Prover 14: Preprocessing ...
% 254.31/35.09 Prover 14: Proving ...
% 263.54/36.30 Prover 10: Found proof (size 14762)
% 263.54/36.30 Prover 10: proved (18380ms)
% 263.54/36.30 Prover 9: stopped
% 263.54/36.30 Prover 3: stopped
% 263.54/36.30 Prover 0: stopped
% 263.54/36.30 Prover 8: stopped
% 263.54/36.30 Prover 14: stopped
% 263.54/36.30 Prover 11: stopped
% 263.54/36.31
% 263.54/36.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 263.54/36.31
% 264.03/36.38 % SZS output start Proof for theBenchmark
% 264.12/36.40 Assumptions after simplification:
% 264.12/36.40 ---------------------------------
% 264.12/36.40
% 264.12/36.40 (co1)
% 264.12/36.45 $i(a1040) & $i(a1033) & $i(a1029) & $i(a1052) & $i(a1048) & $i(a1045) &
% 264.12/36.45 $i(a1044) & $i(a1043) & $i(a1041) & $i(a1038) & $i(a1037) & $i(a1036) &
% 264.12/36.45 $i(a1032) & $i(a1030) & $i(a1026) & $i(a1025) & $i(a1023) & $i(a1019) &
% 264.12/36.45 $i(a1015) & $i(a1012) & $i(a1011) & $i(a1010) & $i(a1008) & $i(a1006) &
% 264.12/36.45 $i(a1005) & $i(a1004) & $i(a1003) & $i(a1002) & $i(a1001) & $i(a1000) & ( ~
% 264.12/36.45 hskp29 | (c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0)) & ( ~ hskp28 |
% 264.12/36.45 (c1_1(a1033) & c2_1(a1033) & c0_1(a1033) & ndr1_0)) & ( ~ hskp27 |
% 264.12/36.45 (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)) & ( ~ hskp26 |
% 264.12/36.45 (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))) & ( ~ hskp25 |
% 264.12/36.45 (c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048))) & ( ~ hskp24 |
% 264.12/36.45 (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))) & ( ~ hskp23 |
% 264.12/36.45 (c1_1(a1044) & c0_1(a1044) & ndr1_0 & ~ c3_1(a1044))) & ( ~ hskp22 |
% 264.12/36.45 (c0_1(a1043) & ndr1_0 & ~ c1_1(a1043) & ~ c2_1(a1043))) & ( ~ hskp21 |
% 264.12/36.45 (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))) & ( ~ hskp20 |
% 264.12/36.45 (ndr1_0 & ~ c1_1(a1038) & ~ c2_1(a1038) & ~ c0_1(a1038))) & ( ~ hskp19 |
% 264.12/36.45 (ndr1_0 & ~ c1_1(a1037) & ~ c3_1(a1037) & ~ c0_1(a1037))) & ( ~ hskp18 |
% 264.12/36.45 (c1_1(a1036) & c3_1(a1036) & ndr1_0 & ~ c2_1(a1036))) & ( ~ hskp17 |
% 264.12/36.45 (c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~ c0_1(a1032))) & ( ~ hskp16 |
% 264.12/36.45 (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))) & ( ~ hskp15 |
% 264.12/36.45 (c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026))) & ( ~ hskp14 |
% 264.12/36.45 (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))) & ( ~ hskp13 |
% 264.12/36.45 (c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~ c2_1(a1023))) & ( ~ hskp12 |
% 264.12/36.45 (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))) & ( ~ hskp11 |
% 264.12/36.45 (c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~ c0_1(a1015))) & ( ~ hskp10 |
% 264.12/36.45 (c0_1(a1012) & ndr1_0 & ~ c1_1(a1012) & ~ c3_1(a1012))) & ( ~ hskp9 |
% 264.12/36.45 (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))) & ( ~ hskp8 |
% 264.12/36.45 (c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010))) & ( ~ hskp7 |
% 264.12/36.45 (c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~ c3_1(a1008))) & ( ~ hskp6 |
% 264.12/36.45 (c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006))) & ( ~ hskp5 | (ndr1_0
% 264.12/36.45 & ~ c1_1(a1005) & ~ c3_1(a1005) & ~ c2_1(a1005))) & ( ~ hskp4 |
% 264.12/36.45 (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))) & ( ~ hskp3 |
% 264.12/36.45 (c1_1(a1003) & ndr1_0 & ~ c2_1(a1003) & ~ c0_1(a1003))) & ( ~ hskp2 |
% 264.12/36.45 (c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~ c1_1(a1002))) & ( ~ hskp1 |
% 264.12/36.45 (c3_1(a1001) & c2_1(a1001) & ndr1_0 & ~ c1_1(a1001))) & ( ~ hskp0 |
% 264.12/36.45 (c2_1(a1000) & c0_1(a1000) & ndr1_0 & ~ c3_1(a1000))) & (hskp29 | hskp26 |
% 264.12/36.45 hskp3) & (hskp29 | hskp23 | hskp13) & (hskp29 | hskp21 | ! [v0: $i] : ( ~
% 264.12/36.45 $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0))) & (hskp29 |
% 264.12/36.45 hskp12 | hskp5) & (hskp28 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) |
% 264.12/36.45 ~ ndr1_0 | c1_1(v0) | c2_1(v0))) & (hskp27 | hskp26 | hskp7) & (hskp27 |
% 264.12/36.45 hskp14 | hskp6) & (hskp27 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0)
% 264.12/36.45 | c3_1(v0) | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.12/36.45 c0_1(v0) | ~ ndr1_0 | c1_1(v0))) & (hskp26 | hskp19 | ! [v0: $i] : ( ~
% 264.12/36.45 $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)) & (hskp26 |
% 264.12/36.45 hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 264.12/36.45 c2_1(v0))) & (hskp25 | hskp24 | hskp19) & (hskp25 | hskp3 | ! [v0: $i] :
% 264.12/36.45 ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))) & (hskp24 |
% 264.12/36.45 hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 264.12/36.45 c1_1(v0))) & (hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.45 c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)) & (hskp23 | hskp20 | hskp18) &
% 264.12/36.45 (hskp23 | hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 264.12/36.45 ndr1_0 | c3_1(v0))) & (hskp23 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~
% 264.12/36.45 c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))) & (hskp23 | ! [v0: $i] :
% 264.12/36.45 ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0))) & (hskp22 |
% 264.12/36.45 hskp14 | hskp12) & (hskp22 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0)
% 264.12/36.45 | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0))) & (hskp22 | ! [v0: $i] : ( ~
% 264.12/36.45 $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0)) | ! [v0: $i] : (
% 264.12/36.45 ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0))) & (hskp21 |
% 264.12/36.45 hskp7 | hskp4) & (hskp20 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 264.12/36.45 ndr1_0 | c1_1(v0) | c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) |
% 264.12/36.45 ~ ndr1_0 | c3_1(v0) | c2_1(v0))) & (hskp19 | hskp4 | ! [v0: $i] : ( ~
% 264.12/36.45 $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0))) & (hskp19 | !
% 264.12/36.45 [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0)) |
% 264.12/36.45 ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0))) &
% 264.12/36.45 (hskp18 | hskp10 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 264.12/36.45 c1_1(v0) | c2_1(v0))) & (hskp17 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 |
% 264.12/36.45 c1_1(v0) | c3_1(v0) | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 264.12/36.45 ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0))) & (hskp17 | ! [v0: $i] : ( ~ $i(v0)
% 264.12/36.45 | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~
% 264.12/36.45 $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0))) & (hskp16 | ?
% 264.12/36.45 [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) | c2_1(v0)) | !
% 264.12/36.45 [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))) &
% 264.12/36.45 (hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 264.12/36.45 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 264.12/36.45 ndr1_0 | c1_1(v0))) & (hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 264.12/36.45 ~ ndr1_0 | c3_1(v0) | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) |
% 264.12/36.45 ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0))) & (hskp14 | ! [v0: $i] : ( ~ $i(v0)
% 264.12/36.45 | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~
% 264.12/36.45 $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))) & (hskp13 |
% 264.12/36.45 hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 264.12/36.45 c2_1(v0))) & (hskp13 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) |
% 264.12/36.45 c3_1(v0) | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 264.12/36.45 | c1_1(v0) | c3_1(v0))) & (hskp13 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0)
% 264.12/36.45 | ~ c2_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 264.12/36.45 c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c2_1(v0))) & (hskp12 | hskp9 | ! [v0:
% 264.12/36.45 $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)) &
% 264.12/36.45 (hskp12 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 264.12/36.45 c3_1(v0) | c0_1(v0))) & (hskp12 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 |
% 264.12/36.45 c1_1(v0) | c3_1(v0) | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) |
% 264.12/36.45 ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))) & (hskp11 | ! [v0: $i] : ( ~ $i(v0)
% 264.12/36.45 | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~
% 264.12/36.45 $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))) & (hskp11 | !
% 264.12/36.46 [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0)) |
% 264.12/36.46 ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))) &
% 264.12/36.46 (hskp10 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 264.12/36.46 c2_1(v0) | c0_1(v0))) & (hskp10 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 264.12/36.46 ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 264.12/36.46 c0_1(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0))) & (hskp9 | ! [v0: $i] : ( ~
% 264.12/36.46 $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0)) | ! [v0: $i] : (
% 264.12/36.46 ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 | c0_1(v0))) & (hskp8 |
% 264.12/36.46 hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 264.12/36.46 c0_1(v0))) & (hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0)
% 264.12/36.46 | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.46 c2_1(v0) | ~ ndr1_0 | c1_1(v0))) & (hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~
% 264.12/36.46 c1_1(v0) | ~ ndr1_0 | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) |
% 264.12/36.46 ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0))) & (hskp7 | ! [v0: $i] : (
% 264.12/36.46 ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)) & (hskp7
% 264.12/36.46 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 264.12/36.46 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0)))
% 264.12/36.46 & (hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 264.12/36.46 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0)
% 264.12/36.46 | c2_1(v0))) & (hskp6 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c3_1(v0) |
% 264.12/36.46 c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.46 c2_1(v0) | ~ ndr1_0 | c0_1(v0))) & (hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~
% 264.12/36.46 c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0)
% 264.12/36.46 | ~ c3_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)) & (hskp6 | ! [v0:
% 264.12/36.46 $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0)) | !
% 264.12/36.46 [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 264.12/36.46 ndr1_0)) & (hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 264.12/36.46 ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.12/36.46 c0_1(v0) | ~ ndr1_0 | c1_1(v0))) & (hskp5 | ! [v0: $i] : ( ~ $i(v0) | ~
% 264.12/36.46 c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~
% 264.12/36.46 $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))) & (hskp4 | !
% 264.12/36.46 [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) | c0_1(v0)) | !
% 264.12/36.46 [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0))) &
% 264.12/36.46 (hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 264.12/36.46 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0)
% 264.12/36.46 | c0_1(v0))) & (hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 264.12/36.46 | c3_1(v0) | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.12/36.46 ndr1_0 | c1_1(v0) | c0_1(v0))) & (hskp2 | hskp1 | ! [v0: $i] : ( ~ $i(v0)
% 264.12/36.46 | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))) & (hskp2 | ? [v0: $i] :
% 264.12/36.46 ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) | c2_1(v0)) | ? [v0: $i] : ( ~
% 264.12/36.46 $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) | c0_1(v0))) & (hskp1 | hskp0 |
% 264.12/36.46 ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c2_1(v0) | c0_1(v0))) &
% 264.12/36.46 (hskp0 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 264.12/36.46 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0)
% 264.12/36.46 | c0_1(v0))) & ( ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0)
% 264.12/36.46 | c2_1(v0)) | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0) |
% 264.12/36.46 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0)
% 264.12/36.46 | c0_1(v0))) & ( ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c2_1(v0)
% 264.12/36.46 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 264.12/36.46 c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.12/36.46 | c1_1(v0) | c0_1(v0))) & ( ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c3_1(v0)
% 264.12/36.46 | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.12/36.46 ndr1_0 | c1_1(v0) | c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) |
% 264.12/36.46 ~ ndr1_0 | c3_1(v0) | c2_1(v0))) & ( ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0)
% 264.12/36.46 | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~
% 264.12/36.46 c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0)
% 264.12/36.46 | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 | c0_1(v0))) & ( ! [v0: $i] : ( ~
% 264.12/36.46 $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0) | ! [v0:
% 264.12/36.46 $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0)) | !
% 264.12/36.46 [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0))) &
% 264.12/36.46 ( ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 264.12/36.46 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 264.12/36.46 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0)
% 264.12/36.46 | c2_1(v0))) & ( ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 264.12/36.46 ndr1_0 | c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0)
% 264.12/36.46 | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.46 c0_1(v0) | ~ ndr1_0 | c2_1(v0))) & ( ! [v0: $i] : ( ~ $i(v0) | ~
% 264.12/36.46 c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0)
% 264.12/36.46 | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~
% 264.12/36.46 $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))) & ( ! [v0: $i] :
% 264.12/36.46 ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0)) | ! [v0: $i] :
% 264.12/36.46 ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i]
% 264.12/36.46 : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0))) & ( ! [v0:
% 264.12/36.46 $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0)) | !
% 264.12/36.46 [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) | c0_1(v0)) | !
% 264.12/36.46 [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0))) & (
% 264.12/36.46 ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.12/36.46 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 264.12/36.46 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0)))
% 264.12/36.46
% 264.12/36.46 Those formulas are unsatisfiable:
% 264.12/36.46 ---------------------------------
% 264.12/36.46
% 264.12/36.46 Begin of proof
% 264.12/36.46 |
% 264.12/36.46 | ALPHA: (co1) implies:
% 264.12/36.47 | (1) $i(a1000)
% 264.12/36.47 | (2) $i(a1001)
% 264.12/36.47 | (3) $i(a1002)
% 264.12/36.47 | (4) $i(a1003)
% 264.12/36.47 | (5) $i(a1004)
% 264.12/36.47 | (6) $i(a1006)
% 264.12/36.47 | (7) $i(a1008)
% 264.12/36.47 | (8) $i(a1010)
% 264.12/36.47 | (9) $i(a1011)
% 264.12/36.47 | (10) $i(a1012)
% 264.12/36.47 | (11) $i(a1015)
% 264.12/36.47 | (12) $i(a1019)
% 264.12/36.47 | (13) $i(a1023)
% 264.12/36.47 | (14) $i(a1025)
% 264.12/36.47 | (15) $i(a1026)
% 264.12/36.47 | (16) $i(a1032)
% 264.12/36.47 | (17) $i(a1036)
% 264.12/36.47 | (18) $i(a1041)
% 264.12/36.47 | (19) $i(a1043)
% 264.12/36.47 | (20) $i(a1044)
% 264.12/36.47 | (21) $i(a1045)
% 264.12/36.47 | (22) $i(a1048)
% 264.12/36.47 | (23) $i(a1052)
% 264.12/36.47 | (24) $i(a1029)
% 264.12/36.47 | (25) $i(a1033)
% 264.12/36.47 | (26) $i(a1040)
% 264.12/36.47 | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 264.12/36.47 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 264.12/36.47 | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 264.12/36.47 | ndr1_0 | c3_1(v0) | c2_1(v0))
% 264.12/36.47 | (28) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 264.12/36.47 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 264.12/36.47 | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.12/36.47 | ndr1_0 | c1_1(v0) | c3_1(v0))
% 264.12/36.47 | (29) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 264.12/36.47 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 264.12/36.47 | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.12/36.47 | c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 264.12/36.47 | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 264.12/36.47 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 264.12/36.47 | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.12/36.47 | ndr1_0 | c1_1(v0) | c0_1(v0))
% 264.12/36.47 | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 264.12/36.47 | c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 264.12/36.47 | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.47 | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.12/36.48 | (32) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 264.12/36.48 | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 264.12/36.48 | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.48 | ndr1_0 | c1_1(v0) | c2_1(v0))
% 264.12/36.48 | (33) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 264.12/36.48 | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 264.12/36.48 | ~ ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.48 | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.12/36.48 | (34) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 264.12/36.48 | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) |
% 264.12/36.48 | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.48 | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.12/36.48 | (35) hskp0 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 264.12/36.48 | ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.48 | ndr1_0 | c2_1(v0) | c0_1(v0))
% 264.12/36.48 | (36) hskp2 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 264.12/36.48 | c2_1(v0)) | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) |
% 264.12/36.48 | c3_1(v0) | c0_1(v0))
% 264.12/36.48 | (37) hskp2 | hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 264.12/36.48 | c3_1(v0) | c0_1(v0))
% 264.12/36.48 | (38) hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0)
% 264.12/36.48 | | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 264.12/36.48 | c1_1(v0) | c0_1(v0))
% 264.12/36.48 | (39) hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 264.12/36.48 | ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.12/36.48 | ndr1_0 | c1_1(v0) | c0_1(v0))
% 264.12/36.48 | (40) hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 264.12/36.48 | ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.48 | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 264.12/36.48 | (41) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0)
% 264.12/36.48 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 264.12/36.48 | c1_1(v0) | c3_1(v0))
% 264.12/36.48 | (42) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 264.12/36.48 | c0_1(v0) | ~ ndr1_0)
% 264.12/36.48 | (43) hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0)
% 264.12/36.48 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 264.12/36.48 | c1_1(v0) | c3_1(v0))
% 264.12/36.48 | (44) hskp8 | hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 264.12/36.48 | c2_1(v0) | c0_1(v0))
% 264.12/36.49 | (45) hskp10 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 264.12/36.49 | c2_1(v0) | c0_1(v0))
% 264.12/36.49 | (46) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 264.12/36.49 | ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.49 | ndr1_0 | c3_1(v0) | c0_1(v0))
% 264.12/36.49 | (47) hskp12 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 264.12/36.49 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 264.12/36.49 | ~ ndr1_0 | c2_1(v0))
% 264.12/36.49 | (48) hskp12 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 264.12/36.49 | c3_1(v0) | c0_1(v0))
% 264.12/36.49 | (49) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0)
% 264.12/36.49 | | ~ c0_1(v0) | ~ ndr1_0)
% 264.12/36.49 | (50) hskp13 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0)
% 264.12/36.49 | | ~ ndr1_0 | c2_1(v0))
% 264.12/36.49 | (51) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0)
% 264.12/36.49 | | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 264.12/36.49 | ~ ndr1_0 | c3_1(v0))
% 264.12/36.49 | (52) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 264.12/36.49 | ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.49 | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.12/36.49 | (53) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 264.12/36.49 | c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.12/36.49 | c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 264.12/36.49 | (54) hskp17 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 264.12/36.49 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 264.12/36.49 | ~ ndr1_0 | c3_1(v0))
% 264.12/36.49 | (55) hskp18 | hskp10 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 264.12/36.49 | c1_1(v0) | c2_1(v0))
% 264.12/36.49 | (56) hskp21 | hskp7 | hskp4
% 264.12/36.49 | (57) hskp22 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0)
% 264.12/36.49 | | ~ ndr1_0 | c2_1(v0))
% 264.12/36.49 | (58) hskp22 | hskp14 | hskp12
% 264.12/36.49 | (59) hskp23 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 264.12/36.49 | ndr1_0 | c1_1(v0))
% 264.12/36.49 | (60) hskp23 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0)
% 264.12/36.49 | | ~ ndr1_0 | c2_1(v0))
% 264.12/36.49 | (61) hskp23 | hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0)
% 264.12/36.49 | | ~ ndr1_0 | c3_1(v0))
% 264.12/36.50 | (62) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0)
% 264.12/36.50 | | ~ c0_1(v0) | ~ ndr1_0)
% 264.12/36.50 | (63) hskp24 | hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0)
% 264.12/36.50 | | ~ ndr1_0 | c1_1(v0))
% 264.12/36.50 | (64) hskp25 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 264.12/36.50 | c3_1(v0) | c2_1(v0))
% 264.12/36.50 | (65) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0)
% 264.12/36.50 | | ~ ndr1_0 | c2_1(v0))
% 264.12/36.50 | (66) hskp26 | hskp19 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0)
% 264.12/36.50 | | ~ c0_1(v0) | ~ ndr1_0)
% 264.12/36.50 | (67) hskp27 | hskp14 | hskp6
% 264.12/36.50 | (68) hskp27 | hskp26 | hskp7
% 264.12/36.50 | (69) hskp28 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 264.12/36.50 | c1_1(v0) | c2_1(v0))
% 264.12/36.50 | (70) hskp29 | hskp21 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 264.12/36.50 | c1_1(v0) | c3_1(v0))
% 264.12/36.50 | (71) hskp29 | hskp23 | hskp13
% 264.12/36.50 | (72) hskp29 | hskp26 | hskp3
% 264.12/36.50 | (73) ~ hskp0 | (c2_1(a1000) & c0_1(a1000) & ndr1_0 & ~ c3_1(a1000))
% 264.12/36.50 | (74) ~ hskp1 | (c3_1(a1001) & c2_1(a1001) & ndr1_0 & ~ c1_1(a1001))
% 264.12/36.50 | (75) ~ hskp2 | (c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~ c1_1(a1002))
% 264.12/36.50 | (76) ~ hskp3 | (c1_1(a1003) & ndr1_0 & ~ c2_1(a1003) & ~ c0_1(a1003))
% 264.12/36.50 | (77) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 264.12/36.50 | (78) ~ hskp6 | (c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006))
% 264.12/36.50 | (79) ~ hskp7 | (c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~ c3_1(a1008))
% 264.12/36.50 | (80) ~ hskp8 | (c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010))
% 264.12/36.50 | (81) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 264.12/36.50 | (82) ~ hskp10 | (c0_1(a1012) & ndr1_0 & ~ c1_1(a1012) & ~ c3_1(a1012))
% 264.12/36.50 | (83) ~ hskp11 | (c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~ c0_1(a1015))
% 264.12/36.50 | (84) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 264.12/36.50 | (85) ~ hskp13 | (c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~ c2_1(a1023))
% 264.12/36.50 | (86) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 264.12/36.50 | (87) ~ hskp15 | (c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026))
% 264.12/36.50 | (88) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 264.12/36.50 | (89) ~ hskp17 | (c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~ c0_1(a1032))
% 264.12/36.50 | (90) ~ hskp18 | (c1_1(a1036) & c3_1(a1036) & ndr1_0 & ~ c2_1(a1036))
% 264.12/36.50 | (91) ~ hskp19 | (ndr1_0 & ~ c1_1(a1037) & ~ c3_1(a1037) & ~
% 264.12/36.50 | c0_1(a1037))
% 264.12/36.50 | (92) ~ hskp20 | (ndr1_0 & ~ c1_1(a1038) & ~ c2_1(a1038) & ~
% 264.12/36.50 | c0_1(a1038))
% 264.12/36.50 | (93) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 264.12/36.50 | (94) ~ hskp22 | (c0_1(a1043) & ndr1_0 & ~ c1_1(a1043) & ~ c2_1(a1043))
% 264.12/36.51 | (95) ~ hskp23 | (c1_1(a1044) & c0_1(a1044) & ndr1_0 & ~ c3_1(a1044))
% 264.12/36.51 | (96) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 264.12/36.51 | (97) ~ hskp25 | (c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048))
% 264.12/36.51 | (98) ~ hskp26 | (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))
% 264.12/36.51 | (99) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 264.12/36.51 | (100) ~ hskp28 | (c1_1(a1033) & c2_1(a1033) & c0_1(a1033) & ndr1_0)
% 264.12/36.51 | (101) ~ hskp29 | (c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0)
% 264.12/36.51 |
% 264.12/36.51 | BETA: splitting (59) gives:
% 264.12/36.51 |
% 264.12/36.51 | Case 1:
% 264.12/36.51 | |
% 264.12/36.51 | | (102) hskp23
% 264.12/36.51 | |
% 264.12/36.51 | | BETA: splitting (95) gives:
% 264.12/36.51 | |
% 264.12/36.51 | | Case 1:
% 264.12/36.51 | | |
% 264.12/36.51 | | | (103) ~ hskp23
% 264.12/36.51 | | |
% 264.12/36.51 | | | PRED_UNIFY: (102), (103) imply:
% 264.12/36.51 | | | (104) $false
% 264.12/36.51 | | |
% 264.12/36.51 | | | CLOSE: (104) is inconsistent.
% 264.12/36.51 | | |
% 264.12/36.51 | | Case 2:
% 264.12/36.51 | | |
% 264.12/36.51 | | | (105) c1_1(a1044) & c0_1(a1044) & ndr1_0 & ~ c3_1(a1044)
% 264.12/36.51 | | |
% 264.12/36.51 | | | ALPHA: (105) implies:
% 264.12/36.51 | | | (106) ~ c3_1(a1044)
% 264.12/36.51 | | | (107) ndr1_0
% 264.12/36.51 | | | (108) c0_1(a1044)
% 264.12/36.51 | | | (109) c1_1(a1044)
% 264.12/36.51 | | |
% 264.12/36.51 | | | BETA: splitting (76) gives:
% 264.12/36.51 | | |
% 264.12/36.51 | | | Case 1:
% 264.12/36.51 | | | |
% 264.12/36.51 | | | | (110) ~ hskp3
% 264.12/36.51 | | | |
% 264.12/36.51 | | | | BETA: splitting (74) gives:
% 264.12/36.51 | | | |
% 264.12/36.51 | | | | Case 1:
% 264.12/36.51 | | | | |
% 264.12/36.51 | | | | | (111) ~ hskp1
% 264.12/36.51 | | | | |
% 264.12/36.51 | | | | | BETA: splitting (97) gives:
% 264.12/36.51 | | | | |
% 264.12/36.51 | | | | | Case 1:
% 264.12/36.51 | | | | | |
% 264.12/36.51 | | | | | | (112) ~ hskp25
% 264.12/36.51 | | | | | |
% 264.12/36.51 | | | | | | BETA: splitting (64) gives:
% 264.12/36.51 | | | | | |
% 264.12/36.51 | | | | | | Case 1:
% 264.12/36.51 | | | | | | |
% 264.12/36.51 | | | | | | | (113) hskp3
% 264.12/36.51 | | | | | | |
% 264.12/36.51 | | | | | | | PRED_UNIFY: (110), (113) imply:
% 264.12/36.51 | | | | | | | (114) $false
% 264.12/36.51 | | | | | | |
% 264.12/36.51 | | | | | | | CLOSE: (114) is inconsistent.
% 264.12/36.51 | | | | | | |
% 264.12/36.51 | | | | | | Case 2:
% 264.12/36.51 | | | | | | |
% 264.12/36.51 | | | | | | | (115) hskp25 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 264.12/36.51 | | | | | | | ndr1_0 | c3_1(v0) | c2_1(v0))
% 264.12/36.51 | | | | | | |
% 264.12/36.51 | | | | | | | BETA: splitting (115) gives:
% 264.12/36.51 | | | | | | |
% 264.12/36.51 | | | | | | | Case 1:
% 264.12/36.51 | | | | | | | |
% 264.12/36.51 | | | | | | | | (116) hskp25
% 264.12/36.51 | | | | | | | |
% 264.12/36.51 | | | | | | | | PRED_UNIFY: (112), (116) imply:
% 264.12/36.51 | | | | | | | | (117) $false
% 264.12/36.51 | | | | | | | |
% 264.12/36.51 | | | | | | | | CLOSE: (117) is inconsistent.
% 264.12/36.51 | | | | | | | |
% 264.12/36.51 | | | | | | | Case 2:
% 264.12/36.51 | | | | | | | |
% 264.12/36.51 | | | | | | | | (118) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 264.12/36.51 | | | | | | | | c3_1(v0) | c2_1(v0))
% 264.12/36.51 | | | | | | | |
% 264.12/36.51 | | | | | | | | GROUND_INST: instantiating (118) with a1044, simplifying with
% 264.12/36.51 | | | | | | | | (20), (106), (107), (108) gives:
% 264.12/36.51 | | | | | | | | (119) c2_1(a1044)
% 264.12/36.51 | | | | | | | |
% 264.12/36.51 | | | | | | | | BETA: splitting (79) gives:
% 264.12/36.52 | | | | | | | |
% 264.12/36.52 | | | | | | | | Case 1:
% 264.12/36.52 | | | | | | | | |
% 264.12/36.52 | | | | | | | | | (120) ~ hskp7
% 264.12/36.52 | | | | | | | | |
% 264.12/36.52 | | | | | | | | | REF_CLOSE: (20), (42), (107), (108), (109), (119), (120) are
% 264.12/36.52 | | | | | | | | | inconsistent by sub-proof #156.
% 264.12/36.52 | | | | | | | | |
% 264.12/36.52 | | | | | | | | Case 2:
% 264.12/36.52 | | | | | | | | |
% 264.12/36.52 | | | | | | | | | (121) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~
% 264.12/36.52 | | | | | | | | | c3_1(a1008)
% 264.12/36.52 | | | | | | | | |
% 264.12/36.52 | | | | | | | | | ALPHA: (121) implies:
% 264.12/36.52 | | | | | | | | | (122) ~ c3_1(a1008)
% 264.12/36.52 | | | | | | | | | (123) ~ c1_1(a1008)
% 264.12/36.52 | | | | | | | | | (124) c2_1(a1008)
% 264.12/36.52 | | | | | | | | |
% 264.12/36.52 | | | | | | | | | BETA: splitting (80) gives:
% 264.12/36.52 | | | | | | | | |
% 264.12/36.52 | | | | | | | | | Case 1:
% 264.12/36.52 | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | (125) ~ hskp8
% 264.12/36.52 | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | BETA: splitting (83) gives:
% 264.12/36.52 | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | Case 1:
% 264.12/36.52 | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | (126) ~ hskp11
% 264.12/36.52 | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | BETA: splitting (78) gives:
% 264.12/36.52 | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | Case 1:
% 264.12/36.52 | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | (127) ~ hskp6
% 264.12/36.52 | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | BETA: splitting (81) gives:
% 264.12/36.52 | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | Case 1:
% 264.12/36.52 | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | (128) ~ hskp9
% 264.12/36.52 | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | REF_CLOSE: (12), (14), (20), (21), (24), (29), (34), (46),
% 264.12/36.52 | | | | | | | | | | | | | (49), (62), (67), (84), (86), (96), (99), (106),
% 264.12/36.52 | | | | | | | | | | | | | (108), (109), (110), (118), (119), (126), (127),
% 264.12/36.52 | | | | | | | | | | | | | (128) are inconsistent by sub-proof #148.
% 264.12/36.52 | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | Case 2:
% 264.12/36.52 | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | (129) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~
% 264.12/36.52 | | | | | | | | | | | | | c2_1(a1011)
% 264.12/36.52 | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | ALPHA: (129) implies:
% 264.12/36.52 | | | | | | | | | | | | | (130) ~ c2_1(a1011)
% 264.12/36.52 | | | | | | | | | | | | | (131) c0_1(a1011)
% 264.12/36.52 | | | | | | | | | | | | | (132) c1_1(a1011)
% 264.12/36.52 | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | GROUND_INST: instantiating (118) with a1011, simplifying with
% 264.12/36.52 | | | | | | | | | | | | | (9), (107), (130), (131) gives:
% 264.12/36.52 | | | | | | | | | | | | | (133) c3_1(a1011)
% 264.12/36.52 | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | BETA: splitting (86) gives:
% 264.12/36.52 | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | Case 1:
% 264.12/36.52 | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | (134) ~ hskp14
% 264.12/36.52 | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | BETA: splitting (67) gives:
% 264.12/36.52 | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | Case 1:
% 264.12/36.52 | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | (135) hskp6
% 264.12/36.52 | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | PRED_UNIFY: (127), (135) imply:
% 264.12/36.52 | | | | | | | | | | | | | | | (136) $false
% 264.12/36.52 | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | CLOSE: (136) is inconsistent.
% 264.12/36.52 | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | Case 2:
% 264.12/36.52 | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | (137) hskp27 | hskp14
% 264.12/36.52 | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 264.12/36.52 | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | Case 1:
% 264.12/36.52 | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | (138) hskp27
% 264.12/36.52 | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 264.12/36.52 | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.52 | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | (139) ~ hskp27
% 264.12/36.52 | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | PRED_UNIFY: (138), (139) imply:
% 264.12/36.52 | | | | | | | | | | | | | | | | | (140) $false
% 264.12/36.52 | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | CLOSE: (140) is inconsistent.
% 264.12/36.52 | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.52 | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | (141) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 264.12/36.52 | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | ALPHA: (141) implies:
% 264.12/36.52 | | | | | | | | | | | | | | | | | (142) c0_1(a1029)
% 264.12/36.52 | | | | | | | | | | | | | | | | | (143) c2_1(a1029)
% 264.12/36.52 | | | | | | | | | | | | | | | | | (144) c3_1(a1029)
% 264.12/36.52 | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 264.12/36.52 | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.52 | | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | | (145) ~ hskp24
% 264.12/36.52 | | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | | REF_CLOSE: (24), (62), (107), (110), (142), (143), (144),
% 264.12/36.52 | | | | | | | | | | | | | | | | | | (145) are inconsistent by sub-proof #146.
% 264.12/36.52 | | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.52 | | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | | (146) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~
% 264.12/36.52 | | | | | | | | | | | | | | | | | | c0_1(a1045)
% 264.12/36.52 | | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | | ALPHA: (146) implies:
% 264.12/36.52 | | | | | | | | | | | | | | | | | | (147) ~ c0_1(a1045)
% 264.12/36.52 | | | | | | | | | | | | | | | | | | (148) c3_1(a1045)
% 264.12/36.52 | | | | | | | | | | | | | | | | | | (149) c1_1(a1045)
% 264.12/36.52 | | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 264.12/36.52 | | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.52 | | | | | | | | | | | | | | | | | | |
% 264.12/36.52 | | | | | | | | | | | | | | | | | | | (150) ~ hskp17
% 264.12/36.52 | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (9), (20), (30), (37), (53), (75),
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | (107), (108), (109), (111), (119), (122), (123),
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | (124), (130), (131), (132), (150) are inconsistent
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | by sub-proof #142.
% 264.12/36.53 | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | (151) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | c0_1(a1032)
% 264.12/36.53 | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | ALPHA: (151) implies:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | (152) ~ c0_1(a1032)
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | (153) c2_1(a1032)
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | (154) c3_1(a1032)
% 264.12/36.53 | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | (155) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | (156) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c3_1(v0))
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (156) with a1044, simplifying with
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | (20), (106), (107), (109), (119) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | (157) $false
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | CLOSE: (157) is inconsistent.
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | (158) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0))
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (158) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | (159) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (159) with a1029, simplifying with
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | (24), (107), (143), (144) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | (160) c1_1(a1029)
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (155) with a1029, simplifying with
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | (24), (107), (143), (144), (160) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | (161) $false
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (161) is inconsistent.
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | (162) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (162) with a1011, simplifying with
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | (9), (107), (130), (131), (133) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | (163) $false
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | (164) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | (165) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (165) with a1045, simplifying with
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | (21), (107), (147), (148), (149) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | (166) $false
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | CLOSE: (166) is inconsistent.
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | (167) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (167) with a1032, simplifying with
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | (16), (107), (152), (153), (154) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | (168) $false
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | | CLOSE: (168) is inconsistent.
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.53 | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.53 | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | End of split
% 264.12/36.53 | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | End of split
% 264.12/36.53 | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | Case 2:
% 264.12/36.53 | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | (169) hskp14
% 264.12/36.53 | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | PRED_UNIFY: (134), (169) imply:
% 264.12/36.53 | | | | | | | | | | | | | | | | (170) $false
% 264.12/36.53 | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | CLOSE: (170) is inconsistent.
% 264.12/36.53 | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | End of split
% 264.12/36.53 | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | End of split
% 264.12/36.53 | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | Case 2:
% 264.12/36.53 | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | (171) hskp14
% 264.12/36.53 | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | REF_CLOSE: (14), (86), (118), (171) are inconsistent by
% 264.12/36.53 | | | | | | | | | | | | | | sub-proof #154.
% 264.12/36.53 | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | End of split
% 264.12/36.53 | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | End of split
% 264.12/36.53 | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | Case 2:
% 264.12/36.53 | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | (172) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 264.12/36.53 | | | | | | | | | | | | c2_1(a1006)
% 264.12/36.53 | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | ALPHA: (172) implies:
% 264.12/36.53 | | | | | | | | | | | | (173) ~ c2_1(a1006)
% 264.12/36.53 | | | | | | | | | | | | (174) c0_1(a1006)
% 264.12/36.53 | | | | | | | | | | | | (175) c3_1(a1006)
% 264.12/36.53 | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | BETA: splitting (81) gives:
% 264.12/36.53 | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | Case 1:
% 264.12/36.53 | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | (176) ~ hskp9
% 264.12/36.53 | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | BETA: splitting (58) gives:
% 264.12/36.53 | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | Case 1:
% 264.12/36.53 | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | (177) hskp12
% 264.12/36.53 | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 264.12/36.53 | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | Case 1:
% 264.12/36.53 | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | (178) ~ hskp12
% 264.12/36.53 | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | PRED_UNIFY: (177), (178) imply:
% 264.12/36.53 | | | | | | | | | | | | | | | (179) $false
% 264.12/36.53 | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | CLOSE: (179) is inconsistent.
% 264.12/36.53 | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | Case 2:
% 264.12/36.53 | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | (180) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 264.12/36.53 | | | | | | | | | | | | | | | c0_1(a1019)
% 264.12/36.53 | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | ALPHA: (180) implies:
% 264.12/36.53 | | | | | | | | | | | | | | | (181) ~ c0_1(a1019)
% 264.12/36.53 | | | | | | | | | | | | | | | (182) c2_1(a1019)
% 264.12/36.53 | | | | | | | | | | | | | | | (183) c1_1(a1019)
% 264.12/36.53 | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 264.12/36.53 | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | Case 1:
% 264.12/36.53 | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | (184) ~ hskp15
% 264.12/36.53 | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.53 | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | (185) ~ hskp24
% 264.12/36.53 | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | BETA: splitting (63) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.53 | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | (186) hskp24
% 264.12/36.53 | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (185), (186) imply:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | (187) $false
% 264.12/36.53 | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | CLOSE: (187) is inconsistent.
% 264.12/36.53 | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.53 | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | (188) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.12/36.53 | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | BETA: splitting (188) gives:
% 264.12/36.53 | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.53 | | | | | | | | | | | | | | | | | | |
% 264.12/36.53 | | | | | | | | | | | | | | | | | | | (189) hskp15
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (184), (189) imply:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | (190) $false
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | CLOSE: (190) is inconsistent.
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | (191) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (191) with a1006, simplifying with
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | (6), (107), (174), (175) gives:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | (192) c1_1(a1006)
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | (193) ~ hskp17
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | (194) ~ hskp2
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (34), (37), (88), (107), (111), (181),
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | (182), (183), (194) are inconsistent by sub-proof
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | #138.
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | (195) c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | c1_1(a1002)
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | ALPHA: (195) implies:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | (196) ~ c1_1(a1002)
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | (197) c0_1(a1002)
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | (198) c2_1(a1002)
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | (199) hskp17
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (193), (199) imply:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | (200) $false
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (200) is inconsistent.
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | (201) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0) | ! [v0:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0))
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (7), (20), (30), (107), (108), (109),
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | (119), (122), (123), (124), (173), (174), (192),
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | (196), (197), (198), (201) are inconsistent by
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | sub-proof #137.
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | (202) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | c0_1(a1032)
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | ALPHA: (202) implies:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | (203) ~ c0_1(a1032)
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | (204) c2_1(a1032)
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | (205) c3_1(a1032)
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16), (20), (31), (34), (106), (107), (109),
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | (119), (173), (174), (175), (203), (204), (205)
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #136.
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.54 | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | End of split
% 264.12/36.54 | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.54 | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | (206) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~
% 264.12/36.54 | | | | | | | | | | | | | | | | | c0_1(a1045)
% 264.12/36.54 | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | ALPHA: (206) implies:
% 264.12/36.54 | | | | | | | | | | | | | | | | | (207) ~ c0_1(a1045)
% 264.12/36.54 | | | | | | | | | | | | | | | | | (208) c3_1(a1045)
% 264.12/36.54 | | | | | | | | | | | | | | | | | (209) c1_1(a1045)
% 264.12/36.54 | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 264.12/36.54 | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.54 | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | (210) ~ hskp26
% 264.12/36.54 | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 264.12/36.54 | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | (211) hskp8
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (125), (211) imply:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | (212) $false
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | CLOSE: (212) is inconsistent.
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | (213) hskp26 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | BETA: splitting (213) gives:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | (214) hskp26
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (210), (214) imply:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | (215) $false
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | CLOSE: (215) is inconsistent.
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | (216) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | (217) hskp11
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (126), (217) imply:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | (218) $false
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | CLOSE: (218) is inconsistent.
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | (219) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | (220) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (20), (29), (106), (107), (108), (119),
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | (173), (174), (175), (181), (182), (183), (216),
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | (220) are inconsistent by sub-proof #135.
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | (221) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | | (222) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (222) with a1045, simplifying with
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | | (21), (107), (207), (208), (209) gives:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | | (223) $false
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (223) is inconsistent.
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.54 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | (224) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (21), (107), (181), (182), (183), (207),
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (219), (224) are inconsistent by
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #149.
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.55 | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.55 | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.55 | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | (225) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | c0_1(a1052)
% 264.12/36.55 | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | ALPHA: (225) implies:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | (226) ~ c0_1(a1052)
% 264.12/36.55 | | | | | | | | | | | | | | | | | | (227) ~ c2_1(a1052)
% 264.12/36.55 | | | | | | | | | | | | | | | | | | (228) c3_1(a1052)
% 264.12/36.55 | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | (229) ~ hskp17
% 264.12/36.55 | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | (230) ~ hskp2
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (34), (37), (88), (107), (111), (181),
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | (182), (183), (230) are inconsistent by sub-proof
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | #138.
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | (231) c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | c1_1(a1002)
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | ALPHA: (231) implies:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | (232) ~ c1_1(a1002)
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | (233) c0_1(a1002)
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | (234) c2_1(a1002)
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | BETA: splitting (46) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | (235) hskp11
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (126), (235) imply:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | (236) $false
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | CLOSE: (236) is inconsistent.
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | (237) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | (238) hskp17
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (229), (238) imply:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | (239) $false
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (239) is inconsistent.
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | (240) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0) | ! [v0:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | (241) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (241) with a1052, simplifying with
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | (23), (107), (226), (228) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | (242) c1_1(a1052)
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | (243) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | (244) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (20), (29), (106), (107), (108), (119),
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | (173), (174), (175), (181), (182), (183), (243),
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | (244) are inconsistent by sub-proof #135.
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | (245) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (245) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (246) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (246) with a1052, simplifying with
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (23), (107), (226), (228), (242) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (247) $false
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (247) is inconsistent.
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (248) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (21), (107), (181), (182), (183), (207),
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | (208), (209), (237), (248) are inconsistent by
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #149.
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | (249) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (249) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | (250) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (250) with a1002, simplifying with
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | (3), (107), (232), (233), (234) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | (251) $false
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (251) is inconsistent.
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | (252) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (252) with a1008, simplifying with
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | (7), (107), (123), (124) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | (253) c0_1(a1008)
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (20), (107), (108), (109), (119), (122),
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | (124), (240), (253) are inconsistent by sub-proof
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | | #145.
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | (254) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0))
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (254) gives:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.55 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (255) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0))
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (255) with a1052, simplifying with
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (23), (107), (226), (227), (228) gives:
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (256) $false
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (256) is inconsistent.
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (257) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c3_1(v0))
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (257) with a1008, simplifying with
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (7), (107), (122), (123), (124) gives:
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (258) $false
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (258) is inconsistent.
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.56 | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.56 | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | (259) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | c0_1(a1032)
% 264.12/36.56 | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | ALPHA: (259) implies:
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | (260) ~ c0_1(a1032)
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | (261) c2_1(a1032)
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | (262) c3_1(a1032)
% 264.12/36.56 | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16), (20), (31), (34), (106), (107), (109),
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | (119), (173), (174), (175), (260), (261), (262)
% 264.12/36.56 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #136.
% 264.12/36.56 | | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | End of split
% 264.12/36.56 | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | End of split
% 264.12/36.56 | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | End of split
% 264.12/36.56 | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | Case 2:
% 264.12/36.56 | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | (263) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 264.12/36.56 | | | | | | | | | | | | | | | | c0_1(a1026)
% 264.12/36.56 | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | ALPHA: (263) implies:
% 264.12/36.56 | | | | | | | | | | | | | | | | (264) ~ c0_1(a1026)
% 264.12/36.56 | | | | | | | | | | | | | | | | (265) ~ c1_1(a1026)
% 264.12/36.56 | | | | | | | | | | | | | | | | (266) c2_1(a1026)
% 264.12/36.56 | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 264.12/36.56 | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.56 | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | (267) ~ hskp26
% 264.12/36.56 | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 264.12/36.56 | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.56 | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | (268) hskp8
% 264.12/36.56 | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (125), (268) imply:
% 264.12/36.56 | | | | | | | | | | | | | | | | | | (269) $false
% 264.12/36.56 | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | CLOSE: (269) is inconsistent.
% 264.12/36.56 | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | Case 2:
% 264.12/36.56 | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | (270) hskp26 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.12/36.56 | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 264.12/36.56 | | | | | | | | | | | | | | | | | |
% 264.12/36.56 | | | | | | | | | | | | | | | | | | Case 1:
% 264.12/36.56 | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | (271) hskp26
% 264.43/36.56 | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (267), (271) imply:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | (272) $false
% 264.43/36.56 | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | CLOSE: (272) is inconsistent.
% 264.43/36.56 | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | Case 2:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | (273) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.43/36.56 | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | (274) ~ hskp2
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (34), (37), (88), (107), (111), (181),
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | (182), (183), (274) are inconsistent by sub-proof
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | #138.
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | Case 2:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | (275) c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | c1_1(a1002)
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | ALPHA: (275) implies:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | (276) ~ c1_1(a1002)
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | (277) c0_1(a1002)
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | (278) c2_1(a1002)
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | (279) ~ hskp17
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | (280) hskp17
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (279), (280) imply:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | (281) $false
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (281) is inconsistent.
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | (282) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0) | ! [v0:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0))
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | (283) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (20), (29), (106), (107), (108), (119),
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | (173), (174), (175), (181), (182), (183), (273),
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | (283) are inconsistent by sub-proof #135.
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | (284) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (284) gives:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (285) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (20), (29), (106), (107), (108), (119),
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (173), (174), (175), (181), (183), (273), (285)
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #134.
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (286) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (7), (12), (20), (29), (30), (32),
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (106), (107), (108), (109), (119), (122), (123),
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (124), (173), (174), (175), (181), (182), (183),
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | (273), (276), (277), (278), (282), (286) are
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | End of split
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | (287) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | c0_1(a1032)
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | ALPHA: (287) implies:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | (288) ~ c0_1(a1032)
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | (289) c2_1(a1032)
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | (290) c3_1(a1032)
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16), (20), (31), (34), (106), (107), (109),
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | (119), (173), (174), (175), (288), (289), (290)
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #136.
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | | End of split
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | | End of split
% 264.43/36.56 | | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | End of split
% 264.43/36.56 | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | End of split
% 264.43/36.56 | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | Case 2:
% 264.43/36.56 | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | (291) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 264.43/36.56 | | | | | | | | | | | | | | | | | c0_1(a1052)
% 264.43/36.56 | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | ALPHA: (291) implies:
% 264.43/36.56 | | | | | | | | | | | | | | | | | (292) ~ c0_1(a1052)
% 264.43/36.56 | | | | | | | | | | | | | | | | | (293) ~ c2_1(a1052)
% 264.43/36.56 | | | | | | | | | | | | | | | | | (294) c3_1(a1052)
% 264.43/36.56 | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 264.43/36.56 | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | Case 1:
% 264.43/36.56 | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | (295) ~ hskp17
% 264.43/36.56 | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | BETA: splitting (75) gives:
% 264.43/36.56 | | | | | | | | | | | | | | | | | |
% 264.43/36.56 | | | | | | | | | | | | | | | | | | Case 1:
% 264.43/36.56 | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | (296) ~ hskp2
% 264.43/36.57 | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (34), (37), (88), (107), (111), (181),
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | (182), (183), (296) are inconsistent by sub-proof
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | #138.
% 264.43/36.57 | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | Case 2:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | (297) c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | c1_1(a1002)
% 264.43/36.57 | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | ALPHA: (297) implies:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | (298) ~ c1_1(a1002)
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | (299) c0_1(a1002)
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | (300) c2_1(a1002)
% 264.43/36.57 | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (53) gives:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | (301) hskp17
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (295), (301) imply:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | (302) $false
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | CLOSE: (302) is inconsistent.
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | (303) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0) | ! [v0:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0))
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | | (304) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (304) with a1052, simplifying with
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | | (23), (107), (292), (294) gives:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | | (305) c1_1(a1052)
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | |
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.43/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | (306) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | (307) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (20), (29), (106), (107), (108), (119),
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | (173), (174), (175), (181), (182), (183), (306),
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | (307) are inconsistent by sub-proof #135.
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | (308) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | (309) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (309) with a1002, simplifying with
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | (3), (107), (298), (299), (300) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | (310) $false
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (310) is inconsistent.
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | (311) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (311) with a1026, simplifying with
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | (15), (107), (264), (265), (266) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | (312) $false
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (312) is inconsistent.
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | (313) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (313) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | (314) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (314) with a1052, simplifying with
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | (23), (107), (292), (294), (305) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | (315) $false
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (315) is inconsistent.
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | (316) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | (317) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (7), (12), (20), (29), (30), (32),
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | (106), (107), (108), (109), (119), (122), (123),
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | (124), (173), (174), (175), (181), (182), (183),
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | (298), (299), (300), (303), (316), (317) are
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #133.
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | (318) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | (319) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (319) with a1002, simplifying with
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | (3), (107), (298), (299), (300) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | (320) $false
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (320) is inconsistent.
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | (321) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (321) with a1026, simplifying with
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | (15), (107), (264), (265), (266) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | (322) $false
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (322) is inconsistent.
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | (323) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | c3_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (323) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | (324) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (324) with a1052, simplifying with
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | (23), (107), (292), (293), (294) gives:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | (325) $false
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (325) is inconsistent.
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | (326) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c3_1(v0))
% 264.97/36.57 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (326) with a1008, simplifying with
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | | | | (7), (107), (122), (123), (124) gives:
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | | | | (327) $false
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (327) is inconsistent.
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | (328) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 264.97/36.58 | | | | | | | | | | | | | | | | | | c0_1(a1032)
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | ALPHA: (328) implies:
% 264.97/36.58 | | | | | | | | | | | | | | | | | | (329) ~ c0_1(a1032)
% 264.97/36.58 | | | | | | | | | | | | | | | | | | (330) c2_1(a1032)
% 264.97/36.58 | | | | | | | | | | | | | | | | | | (331) c3_1(a1032)
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16), (20), (31), (34), (106), (107), (109),
% 264.97/36.58 | | | | | | | | | | | | | | | | | | (119), (173), (174), (175), (329), (330), (331)
% 264.97/36.58 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #136.
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | Case 2:
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | (332) ~ hskp12
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | REF_CLOSE: (20), (49), (107), (108), (109), (119), (176),
% 264.97/36.58 | | | | | | | | | | | | | | (332) are inconsistent by sub-proof #150.
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | Case 2:
% 264.97/36.58 | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | (333) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~
% 264.97/36.58 | | | | | | | | | | | | | c2_1(a1011)
% 264.97/36.58 | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | REF_CLOSE: (3), (6), (7), (9), (16), (20), (30), (31), (34),
% 264.97/36.58 | | | | | | | | | | | | | (37), (53), (75), (89), (106), (108), (109),
% 264.97/36.58 | | | | | | | | | | | | | (111), (119), (122), (123), (124), (173), (174),
% 264.97/36.58 | | | | | | | | | | | | | (175), (333) are inconsistent by sub-proof #132.
% 264.97/36.58 | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | Case 2:
% 264.97/36.58 | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | (334) c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~
% 264.97/36.58 | | | | | | | | | | | c0_1(a1015)
% 264.97/36.58 | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | ALPHA: (334) implies:
% 264.97/36.58 | | | | | | | | | | | (335) ~ c0_1(a1015)
% 264.97/36.58 | | | | | | | | | | | (336) ~ c1_1(a1015)
% 264.97/36.58 | | | | | | | | | | | (337) c3_1(a1015)
% 264.97/36.58 | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | BETA: splitting (78) gives:
% 264.97/36.58 | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | Case 1:
% 264.97/36.58 | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | (338) ~ hskp6
% 264.97/36.58 | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | BETA: splitting (81) gives:
% 264.97/36.58 | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | Case 1:
% 264.97/36.58 | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | (339) ~ hskp9
% 264.97/36.58 | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | REF_CLOSE: (7), (11), (12), (14), (20), (21), (24), (28),
% 264.97/36.58 | | | | | | | | | | | | | (29), (34), (49), (62), (67), (84), (86), (96),
% 264.97/36.58 | | | | | | | | | | | | | (99), (106), (107), (108), (109), (110), (118),
% 264.97/36.58 | | | | | | | | | | | | | (119), (122), (123), (124), (335), (336), (337),
% 264.97/36.58 | | | | | | | | | | | | | (338), (339) are inconsistent by sub-proof #128.
% 264.97/36.58 | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | Case 2:
% 264.97/36.58 | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | (340) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~
% 264.97/36.58 | | | | | | | | | | | | | c2_1(a1011)
% 264.97/36.58 | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | ALPHA: (340) implies:
% 264.97/36.58 | | | | | | | | | | | | | (341) ~ c2_1(a1011)
% 264.97/36.58 | | | | | | | | | | | | | (342) c0_1(a1011)
% 264.97/36.58 | | | | | | | | | | | | | (343) c1_1(a1011)
% 264.97/36.58 | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | BETA: splitting (75) gives:
% 264.97/36.58 | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | Case 1:
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | (344) ~ hskp2
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | BETA: splitting (37) gives:
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | Case 1:
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | (345) hskp2
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | PRED_UNIFY: (344), (345) imply:
% 264.97/36.58 | | | | | | | | | | | | | | | (346) $false
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | CLOSE: (346) is inconsistent.
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | Case 2:
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | (347) hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) |
% 264.97/36.58 | | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | Case 1:
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | (348) hskp1
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | PRED_UNIFY: (111), (348) imply:
% 264.97/36.58 | | | | | | | | | | | | | | | | (349) $false
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | CLOSE: (349) is inconsistent.
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | Case 2:
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | (350) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.97/36.58 | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (350) with a1008, simplifying with
% 264.97/36.58 | | | | | | | | | | | | | | | | (7), (107), (122), (124) gives:
% 264.97/36.58 | | | | | | | | | | | | | | | | (351) c0_1(a1008)
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | Case 1:
% 264.97/36.58 | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | (352) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.97/36.58 | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.97/36.58 | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (352) with a1011, simplifying with
% 264.97/36.58 | | | | | | | | | | | | | | | | | (9), (107), (341), (342), (343) gives:
% 264.97/36.58 | | | | | | | | | | | | | | | | | (353) $false
% 264.97/36.58 | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | CLOSE: (353) is inconsistent.
% 264.97/36.58 | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.58 | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | (354) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.97/36.58 | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 264.97/36.58 | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 264.97/36.58 | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.97/36.58 | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | BETA: splitting (354) gives:
% 264.97/36.58 | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | Case 1:
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | (355) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.97/36.58 | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (355) with a1008, simplifying with
% 264.97/36.58 | | | | | | | | | | | | | | | | | | (7), (107), (123), (124), (351) gives:
% 264.97/36.58 | | | | | | | | | | | | | | | | | | (356) $false
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | CLOSE: (356) is inconsistent.
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | (357) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.97/36.58 | | | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (28), (107), (122), (123), (124),
% 264.97/36.58 | | | | | | | | | | | | | | | | | | (335), (336), (337), (357) are inconsistent by
% 264.97/36.58 | | | | | | | | | | | | | | | | | | sub-proof #127.
% 264.97/36.58 | | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | End of split
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | Case 2:
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | (358) c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~
% 264.97/36.58 | | | | | | | | | | | | | | c1_1(a1002)
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | ALPHA: (358) implies:
% 264.97/36.58 | | | | | | | | | | | | | | (359) ~ c1_1(a1002)
% 264.97/36.58 | | | | | | | | | | | | | | (360) c0_1(a1002)
% 264.97/36.58 | | | | | | | | | | | | | | (361) c2_1(a1002)
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | BETA: splitting (30) gives:
% 264.97/36.58 | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | Case 1:
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | (362) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.97/36.58 | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | GROUND_INST: instantiating (362) with a1011, simplifying with
% 264.97/36.58 | | | | | | | | | | | | | | | (9), (107), (341), (342), (343) gives:
% 264.97/36.58 | | | | | | | | | | | | | | | (363) $false
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | CLOSE: (363) is inconsistent.
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | Case 2:
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | (364) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.97/36.58 | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 264.97/36.58 | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 264.97/36.58 | | | | | | | | | | | | | | | c0_1(v0))
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | BETA: splitting (364) gives:
% 264.97/36.58 | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | Case 1:
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.58 | | | | | | | | | | | | | | | | (365) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.97/36.58 | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.97/36.58 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (365) with a1002, simplifying with
% 264.97/36.59 | | | | | | | | | | | | | | | | (3), (107), (359), (360), (361) gives:
% 264.97/36.59 | | | | | | | | | | | | | | | | (366) $false
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | CLOSE: (366) is inconsistent.
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | Case 2:
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | (367) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.97/36.59 | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (28), (107), (122), (123), (124),
% 264.97/36.59 | | | | | | | | | | | | | | | | (335), (336), (337), (367) are inconsistent by
% 264.97/36.59 | | | | | | | | | | | | | | | | sub-proof #127.
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | Case 2:
% 264.97/36.59 | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | (368) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 264.97/36.59 | | | | | | | | | | | | c2_1(a1006)
% 264.97/36.59 | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | ALPHA: (368) implies:
% 264.97/36.59 | | | | | | | | | | | | (369) ~ c2_1(a1006)
% 264.97/36.59 | | | | | | | | | | | | (370) c0_1(a1006)
% 264.97/36.59 | | | | | | | | | | | | (371) c3_1(a1006)
% 264.97/36.59 | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | BETA: splitting (81) gives:
% 264.97/36.59 | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | Case 1:
% 264.97/36.59 | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | (372) ~ hskp9
% 264.97/36.59 | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | BETA: splitting (84) gives:
% 264.97/36.59 | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | Case 1:
% 264.97/36.59 | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | (373) ~ hskp12
% 264.97/36.59 | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | REF_CLOSE: (20), (49), (107), (108), (109), (119), (372),
% 264.97/36.59 | | | | | | | | | | | | | | (373) are inconsistent by sub-proof #150.
% 264.97/36.59 | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | Case 2:
% 264.97/36.59 | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | (374) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 264.97/36.59 | | | | | | | | | | | | | | c0_1(a1019)
% 264.97/36.59 | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | ALPHA: (374) implies:
% 264.97/36.59 | | | | | | | | | | | | | | (375) ~ c0_1(a1019)
% 264.97/36.59 | | | | | | | | | | | | | | (376) c2_1(a1019)
% 264.97/36.59 | | | | | | | | | | | | | | (377) c1_1(a1019)
% 264.97/36.59 | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | BETA: splitting (98) gives:
% 264.97/36.59 | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | Case 1:
% 264.97/36.59 | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | (378) ~ hskp26
% 264.97/36.59 | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | BETA: splitting (65) gives:
% 264.97/36.59 | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | Case 1:
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | (379) hskp8
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | PRED_UNIFY: (125), (379) imply:
% 264.97/36.59 | | | | | | | | | | | | | | | | (380) $false
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | CLOSE: (380) is inconsistent.
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | Case 2:
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | (381) hskp26 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 264.97/36.59 | | | | | | | | | | | | | | | | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | Case 1:
% 264.97/36.59 | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | (382) hskp26
% 264.97/36.59 | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | PRED_UNIFY: (378), (382) imply:
% 264.97/36.59 | | | | | | | | | | | | | | | | | (383) $false
% 264.97/36.59 | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | CLOSE: (383) is inconsistent.
% 264.97/36.59 | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.59 | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | (384) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.97/36.59 | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 264.97/36.59 | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 264.97/36.59 | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | Case 1:
% 264.97/36.59 | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | | (385) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.97/36.59 | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 264.97/36.59 | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (20), (29), (106), (107), (108), (119),
% 264.97/36.59 | | | | | | | | | | | | | | | | | | (369), (370), (371), (375), (376), (377), (384),
% 264.97/36.59 | | | | | | | | | | | | | | | | | | (385) are inconsistent by sub-proof #135.
% 264.97/36.59 | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.59 | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | | (386) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.97/36.59 | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 264.97/36.59 | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 264.97/36.59 | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 264.97/36.59 | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 264.97/36.59 | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | | Case 1:
% 264.97/36.59 | | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | | | (387) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 264.97/36.59 | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.97/36.59 | | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (12), (20), (29), (106), (107), (108), (119),
% 264.97/36.59 | | | | | | | | | | | | | | | | | | | (369), (370), (371), (375), (377), (384), (387)
% 264.97/36.59 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #134.
% 264.97/36.59 | | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | | Case 2:
% 264.97/36.59 | | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | | | (388) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.97/36.59 | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 264.97/36.59 | | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (28), (107), (122), (123), (124),
% 264.97/36.59 | | | | | | | | | | | | | | | | | | | (335), (336), (337), (388) are inconsistent by
% 264.97/36.59 | | | | | | | | | | | | | | | | | | | sub-proof #130.
% 264.97/36.59 | | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | Case 2:
% 264.97/36.59 | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | (389) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 264.97/36.59 | | | | | | | | | | | | | | | c0_1(a1052)
% 264.97/36.59 | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | ALPHA: (389) implies:
% 264.97/36.59 | | | | | | | | | | | | | | | (390) ~ c0_1(a1052)
% 264.97/36.59 | | | | | | | | | | | | | | | (391) ~ c2_1(a1052)
% 264.97/36.59 | | | | | | | | | | | | | | | (392) c3_1(a1052)
% 264.97/36.59 | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (23), (28), (107), (122), (123), (124),
% 264.97/36.59 | | | | | | | | | | | | | | | (335), (336), (337), (390), (391), (392) are
% 264.97/36.59 | | | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 264.97/36.59 | | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | Case 2:
% 264.97/36.59 | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | (393) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~
% 264.97/36.59 | | | | | | | | | | | | | c2_1(a1011)
% 264.97/36.59 | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | | REF_CLOSE: (3), (6), (7), (9), (16), (20), (30), (31), (34),
% 264.97/36.59 | | | | | | | | | | | | | (37), (53), (75), (89), (106), (108), (109),
% 264.97/36.59 | | | | | | | | | | | | | (111), (119), (122), (123), (124), (369), (370),
% 264.97/36.59 | | | | | | | | | | | | | (371), (393) are inconsistent by sub-proof #132.
% 264.97/36.59 | | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | Case 2:
% 264.97/36.59 | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | (394) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 264.97/36.59 | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | ALPHA: (394) implies:
% 264.97/36.59 | | | | | | | | | | (395) ~ c1_1(a1010)
% 264.97/36.59 | | | | | | | | | | (396) c0_1(a1010)
% 264.97/36.59 | | | | | | | | | | (397) c3_1(a1010)
% 264.97/36.59 | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | | REF_CLOSE: (3), (6), (7), (8), (9), (12), (14), (16), (20),
% 264.97/36.59 | | | | | | | | | | (24), (29), (30), (31), (33), (34), (37), (49),
% 264.97/36.59 | | | | | | | | | | (53), (58), (67), (75), (78), (81), (84), (86),
% 264.97/36.59 | | | | | | | | | | (89), (99), (106), (107), (108), (109), (111),
% 264.97/36.59 | | | | | | | | | | (118), (119), (122), (123), (124), (395), (396),
% 264.97/36.59 | | | | | | | | | | (397) are inconsistent by sub-proof #122.
% 264.97/36.59 | | | | | | | | | |
% 264.97/36.59 | | | | | | | | | End of split
% 264.97/36.59 | | | | | | | | |
% 264.97/36.59 | | | | | | | | End of split
% 264.97/36.59 | | | | | | | |
% 264.97/36.59 | | | | | | | End of split
% 264.97/36.59 | | | | | | |
% 264.97/36.59 | | | | | | End of split
% 264.97/36.59 | | | | | |
% 264.97/36.59 | | | | | Case 2:
% 264.97/36.59 | | | | | |
% 264.97/36.59 | | | | | | (398) c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048)
% 264.97/36.59 | | | | | |
% 264.97/36.59 | | | | | | ALPHA: (398) implies:
% 264.97/36.59 | | | | | | (399) ~ c0_1(a1048)
% 264.97/36.59 | | | | | | (400) ~ c3_1(a1048)
% 264.97/36.59 | | | | | | (401) c1_1(a1048)
% 264.97/36.59 | | | | | |
% 264.97/36.59 | | | | | | BETA: splitting (75) gives:
% 264.97/36.59 | | | | | |
% 264.97/36.59 | | | | | | Case 1:
% 264.97/36.59 | | | | | | |
% 264.97/36.59 | | | | | | | (402) ~ hskp2
% 264.97/36.59 | | | | | | |
% 264.97/36.59 | | | | | | | BETA: splitting (37) gives:
% 264.97/36.59 | | | | | | |
% 264.97/36.59 | | | | | | | Case 1:
% 264.97/36.59 | | | | | | | |
% 264.97/36.59 | | | | | | | | (403) hskp2
% 264.97/36.59 | | | | | | | |
% 264.97/36.59 | | | | | | | | PRED_UNIFY: (402), (403) imply:
% 264.97/36.59 | | | | | | | | (404) $false
% 264.97/36.59 | | | | | | | |
% 264.97/36.59 | | | | | | | | CLOSE: (404) is inconsistent.
% 264.97/36.59 | | | | | | | |
% 264.97/36.59 | | | | | | | Case 2:
% 264.97/36.59 | | | | | | | |
% 264.97/36.60 | | | | | | | | (405) hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.97/36.60 | | | | | | | | ndr1_0 | c3_1(v0) | c0_1(v0))
% 264.97/36.60 | | | | | | | |
% 264.97/36.60 | | | | | | | | BETA: splitting (405) gives:
% 264.97/36.60 | | | | | | | |
% 264.97/36.60 | | | | | | | | Case 1:
% 264.97/36.60 | | | | | | | | |
% 264.97/36.60 | | | | | | | | | (406) hskp1
% 264.97/36.60 | | | | | | | | |
% 264.97/36.60 | | | | | | | | | PRED_UNIFY: (111), (406) imply:
% 264.97/36.60 | | | | | | | | | (407) $false
% 264.97/36.60 | | | | | | | | |
% 264.97/36.60 | | | | | | | | | CLOSE: (407) is inconsistent.
% 264.97/36.60 | | | | | | | | |
% 264.97/36.60 | | | | | | | | Case 2:
% 264.97/36.60 | | | | | | | | |
% 264.97/36.60 | | | | | | | | | (408) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 264.97/36.60 | | | | | | | | | c3_1(v0) | c0_1(v0))
% 264.97/36.60 | | | | | | | | |
% 264.97/36.60 | | | | | | | | | BETA: splitting (80) gives:
% 264.97/36.60 | | | | | | | | |
% 264.97/36.60 | | | | | | | | | Case 1:
% 264.97/36.60 | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | (409) ~ hskp8
% 264.97/36.60 | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | BETA: splitting (83) gives:
% 264.97/36.60 | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | Case 1:
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | (410) ~ hskp11
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | BETA: splitting (81) gives:
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | Case 1:
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | (411) ~ hskp9
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | BETA: splitting (79) gives:
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | Case 1:
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | (412) ~ hskp7
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | REF_CLOSE: (22), (44), (107), (399), (400), (401), (408),
% 264.97/36.60 | | | | | | | | | | | | | (409), (412) are inconsistent by sub-proof #121.
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | Case 2:
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | (413) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~
% 264.97/36.60 | | | | | | | | | | | | | c3_1(a1008)
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | ALPHA: (413) implies:
% 264.97/36.60 | | | | | | | | | | | | | (414) ~ c3_1(a1008)
% 264.97/36.60 | | | | | | | | | | | | | (415) ~ c1_1(a1008)
% 264.97/36.60 | | | | | | | | | | | | | (416) c2_1(a1008)
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | BETA: splitting (84) gives:
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | Case 1:
% 264.97/36.60 | | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | | (417) ~ hskp12
% 264.97/36.60 | | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | | REF_CLOSE: (7), (20), (22), (23), (28), (46), (49), (65),
% 264.97/36.60 | | | | | | | | | | | | | | (98), (107), (108), (109), (399), (400), (401),
% 264.97/36.60 | | | | | | | | | | | | | | (409), (410), (411), (414), (415), (416), (417)
% 264.97/36.60 | | | | | | | | | | | | | | are inconsistent by sub-proof #119.
% 264.97/36.60 | | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | Case 2:
% 264.97/36.60 | | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | | (418) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 264.97/36.60 | | | | | | | | | | | | | | c0_1(a1019)
% 264.97/36.60 | | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | | ALPHA: (418) implies:
% 264.97/36.60 | | | | | | | | | | | | | | (419) ~ c0_1(a1019)
% 264.97/36.60 | | | | | | | | | | | | | | (420) c2_1(a1019)
% 264.97/36.60 | | | | | | | | | | | | | | (421) c1_1(a1019)
% 264.97/36.60 | | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | | REF_CLOSE: (12), (34), (88), (107), (408), (419), (420),
% 264.97/36.60 | | | | | | | | | | | | | | (421) are inconsistent by sub-proof #140.
% 264.97/36.60 | | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | End of split
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | End of split
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | Case 2:
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | (422) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~
% 264.97/36.60 | | | | | | | | | | | | c2_1(a1011)
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | ALPHA: (422) implies:
% 264.97/36.60 | | | | | | | | | | | | (423) ~ c2_1(a1011)
% 264.97/36.60 | | | | | | | | | | | | (424) c0_1(a1011)
% 264.97/36.60 | | | | | | | | | | | | (425) c1_1(a1011)
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | BETA: splitting (79) gives:
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | Case 1:
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | (426) ~ hskp7
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | REF_CLOSE: (22), (44), (107), (399), (400), (401), (408),
% 264.97/36.60 | | | | | | | | | | | | | (409), (426) are inconsistent by sub-proof #121.
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | Case 2:
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | (427) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~
% 264.97/36.60 | | | | | | | | | | | | | c3_1(a1008)
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | ALPHA: (427) implies:
% 264.97/36.60 | | | | | | | | | | | | | (428) ~ c3_1(a1008)
% 264.97/36.60 | | | | | | | | | | | | | (429) ~ c1_1(a1008)
% 264.97/36.60 | | | | | | | | | | | | | (430) c2_1(a1008)
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | REF_CLOSE: (7), (9), (22), (23), (28), (46), (65), (98),
% 264.97/36.60 | | | | | | | | | | | | | (107), (399), (400), (401), (409), (410), (423),
% 264.97/36.60 | | | | | | | | | | | | | (424), (425), (428), (429), (430) are inconsistent
% 264.97/36.60 | | | | | | | | | | | | | by sub-proof #117.
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | End of split
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | End of split
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | Case 2:
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | (431) c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~
% 264.97/36.60 | | | | | | | | | | | c0_1(a1015)
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | ALPHA: (431) implies:
% 264.97/36.60 | | | | | | | | | | | (432) ~ c0_1(a1015)
% 264.97/36.60 | | | | | | | | | | | (433) ~ c1_1(a1015)
% 264.97/36.60 | | | | | | | | | | | (434) c3_1(a1015)
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | BETA: splitting (79) gives:
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | Case 1:
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | (435) ~ hskp7
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | REF_CLOSE: (22), (44), (107), (399), (400), (401), (408),
% 264.97/36.60 | | | | | | | | | | | | (409), (435) are inconsistent by sub-proof #121.
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | Case 2:
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | (436) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~
% 264.97/36.60 | | | | | | | | | | | | c3_1(a1008)
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | ALPHA: (436) implies:
% 264.97/36.60 | | | | | | | | | | | | (437) ~ c3_1(a1008)
% 264.97/36.60 | | | | | | | | | | | | (438) ~ c1_1(a1008)
% 264.97/36.60 | | | | | | | | | | | | (439) c2_1(a1008)
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | BETA: splitting (84) gives:
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | Case 1:
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | (440) ~ hskp12
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | REF_CLOSE: (6), (7), (11), (20), (22), (23), (28), (29),
% 264.97/36.60 | | | | | | | | | | | | | (48), (65), (78), (98), (106), (107), (108),
% 264.97/36.60 | | | | | | | | | | | | | (109), (399), (400), (401), (409), (432), (433),
% 264.97/36.60 | | | | | | | | | | | | | (434), (437), (438), (439), (440) are inconsistent
% 264.97/36.60 | | | | | | | | | | | | | by sub-proof #112.
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | Case 2:
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | (441) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 264.97/36.60 | | | | | | | | | | | | | c0_1(a1019)
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | ALPHA: (441) implies:
% 264.97/36.60 | | | | | | | | | | | | | (442) ~ c0_1(a1019)
% 264.97/36.60 | | | | | | | | | | | | | (443) c2_1(a1019)
% 264.97/36.60 | | | | | | | | | | | | | (444) c1_1(a1019)
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | | REF_CLOSE: (12), (34), (88), (107), (408), (442), (443),
% 264.97/36.60 | | | | | | | | | | | | | (444) are inconsistent by sub-proof #140.
% 264.97/36.60 | | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | End of split
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | End of split
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | End of split
% 264.97/36.60 | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | Case 2:
% 264.97/36.60 | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | (445) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 264.97/36.60 | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | ALPHA: (445) implies:
% 264.97/36.60 | | | | | | | | | | (446) ~ c1_1(a1010)
% 264.97/36.60 | | | | | | | | | | (447) c0_1(a1010)
% 264.97/36.60 | | | | | | | | | | (448) c3_1(a1010)
% 264.97/36.60 | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | BETA: splitting (79) gives:
% 264.97/36.60 | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | Case 1:
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | (449) ~ hskp7
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | REF_CLOSE: (5), (8), (18), (22), (29), (36), (56), (77),
% 264.97/36.60 | | | | | | | | | | | (93), (399), (400), (401), (402), (408), (446),
% 264.97/36.60 | | | | | | | | | | | (447), (448), (449) are inconsistent by sub-proof
% 264.97/36.60 | | | | | | | | | | | #107.
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | Case 2:
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | (450) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~
% 264.97/36.60 | | | | | | | | | | | c3_1(a1008)
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | ALPHA: (450) implies:
% 264.97/36.60 | | | | | | | | | | | (451) ~ c3_1(a1008)
% 264.97/36.60 | | | | | | | | | | | (452) c2_1(a1008)
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | GROUND_INST: instantiating (408) with a1008, simplifying with
% 264.97/36.60 | | | | | | | | | | | (7), (107), (451), (452) gives:
% 264.97/36.60 | | | | | | | | | | | (453) c0_1(a1008)
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | BETA: splitting (29) gives:
% 264.97/36.60 | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | Case 1:
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | (454) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 264.97/36.60 | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | GROUND_INST: instantiating (454) with a1048, simplifying with
% 264.97/36.60 | | | | | | | | | | | | (22), (107), (399), (400), (401) gives:
% 264.97/36.60 | | | | | | | | | | | | (455) $false
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | CLOSE: (455) is inconsistent.
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | Case 2:
% 264.97/36.60 | | | | | | | | | | | |
% 264.97/36.60 | | | | | | | | | | | | (456) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.97/36.60 | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 264.97/36.60 | | | | | | | | | | | | ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 264.97/36.61 | | | | | | | | | | | | | c3_1(v0))
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | BETA: splitting (456) gives:
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | Case 1:
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | (457) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 264.97/36.61 | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | GROUND_INST: instantiating (457) with a1010, simplifying with
% 264.97/36.61 | | | | | | | | | | | | | (8), (107), (446), (447), (448) gives:
% 264.97/36.61 | | | | | | | | | | | | | (458) $false
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | CLOSE: (458) is inconsistent.
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | Case 2:
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | (459) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 264.97/36.61 | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | GROUND_INST: instantiating (459) with a1008, simplifying with
% 264.97/36.61 | | | | | | | | | | | | | (7), (107), (451), (452), (453) gives:
% 264.97/36.61 | | | | | | | | | | | | | (460) $false
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | CLOSE: (460) is inconsistent.
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | End of split
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | End of split
% 264.97/36.61 | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | End of split
% 264.97/36.61 | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | End of split
% 264.97/36.61 | | | | | | | | |
% 264.97/36.61 | | | | | | | | End of split
% 264.97/36.61 | | | | | | | |
% 264.97/36.61 | | | | | | | End of split
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | Case 2:
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | | (461) c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~ c1_1(a1002)
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | | ALPHA: (461) implies:
% 264.97/36.61 | | | | | | | (462) ~ c1_1(a1002)
% 264.97/36.61 | | | | | | | (463) c0_1(a1002)
% 264.97/36.61 | | | | | | | (464) c2_1(a1002)
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (11), (12), (14), (18),
% 264.97/36.61 | | | | | | | (20), (21), (22), (23), (24), (27), (28), (29), (34),
% 264.97/36.61 | | | | | | | (42), (44), (46), (47), (48), (49), (56), (62), (65),
% 264.97/36.61 | | | | | | | (67), (77), (78), (79), (80), (81), (83), (84), (86),
% 264.97/36.61 | | | | | | | (88), (93), (96), (98), (99), (106), (107), (108),
% 264.97/36.61 | | | | | | | (109), (110), (399), (400), (401), (462), (463), (464)
% 264.97/36.61 | | | | | | | are inconsistent by sub-proof #101.
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | End of split
% 264.97/36.61 | | | | | |
% 264.97/36.61 | | | | | End of split
% 264.97/36.61 | | | | |
% 264.97/36.61 | | | | Case 2:
% 264.97/36.61 | | | | |
% 264.97/36.61 | | | | | (465) c3_1(a1001) & c2_1(a1001) & ndr1_0 & ~ c1_1(a1001)
% 264.97/36.61 | | | | |
% 264.97/36.61 | | | | | ALPHA: (465) implies:
% 264.97/36.61 | | | | | (466) ~ c1_1(a1001)
% 264.97/36.61 | | | | | (467) c2_1(a1001)
% 264.97/36.61 | | | | | (468) c3_1(a1001)
% 264.97/36.61 | | | | |
% 264.97/36.61 | | | | | BETA: splitting (97) gives:
% 264.97/36.61 | | | | |
% 264.97/36.61 | | | | | Case 1:
% 264.97/36.61 | | | | | |
% 264.97/36.61 | | | | | | (469) ~ hskp25
% 264.97/36.61 | | | | | |
% 264.97/36.61 | | | | | | BETA: splitting (64) gives:
% 264.97/36.61 | | | | | |
% 264.97/36.61 | | | | | | Case 1:
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | | (470) hskp3
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | | PRED_UNIFY: (110), (470) imply:
% 264.97/36.61 | | | | | | | (471) $false
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | | CLOSE: (471) is inconsistent.
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | Case 2:
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | | (472) hskp25 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 264.97/36.61 | | | | | | | ndr1_0 | c3_1(v0) | c2_1(v0))
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | | BETA: splitting (472) gives:
% 264.97/36.61 | | | | | | |
% 264.97/36.61 | | | | | | | Case 1:
% 264.97/36.61 | | | | | | | |
% 264.97/36.61 | | | | | | | | (473) hskp25
% 264.97/36.61 | | | | | | | |
% 264.97/36.61 | | | | | | | | PRED_UNIFY: (469), (473) imply:
% 264.97/36.61 | | | | | | | | (474) $false
% 264.97/36.61 | | | | | | | |
% 264.97/36.61 | | | | | | | | CLOSE: (474) is inconsistent.
% 264.97/36.61 | | | | | | | |
% 264.97/36.61 | | | | | | | Case 2:
% 264.97/36.61 | | | | | | | |
% 264.97/36.61 | | | | | | | | (475) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 264.97/36.61 | | | | | | | | c3_1(v0) | c2_1(v0))
% 264.97/36.61 | | | | | | | |
% 264.97/36.61 | | | | | | | | GROUND_INST: instantiating (475) with a1044, simplifying with
% 264.97/36.61 | | | | | | | | (20), (106), (107), (108) gives:
% 264.97/36.61 | | | | | | | | (476) c2_1(a1044)
% 264.97/36.61 | | | | | | | |
% 264.97/36.61 | | | | | | | | BETA: splitting (79) gives:
% 264.97/36.61 | | | | | | | |
% 264.97/36.61 | | | | | | | | Case 1:
% 264.97/36.61 | | | | | | | | |
% 264.97/36.61 | | | | | | | | | (477) ~ hskp7
% 264.97/36.61 | | | | | | | | |
% 264.97/36.61 | | | | | | | | | REF_CLOSE: (20), (42), (107), (108), (109), (476), (477) are
% 264.97/36.61 | | | | | | | | | inconsistent by sub-proof #156.
% 264.97/36.61 | | | | | | | | |
% 264.97/36.61 | | | | | | | | Case 2:
% 264.97/36.61 | | | | | | | | |
% 264.97/36.61 | | | | | | | | | (478) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~
% 264.97/36.61 | | | | | | | | | c3_1(a1008)
% 264.97/36.61 | | | | | | | | |
% 264.97/36.61 | | | | | | | | | ALPHA: (478) implies:
% 264.97/36.61 | | | | | | | | | (479) ~ c3_1(a1008)
% 264.97/36.61 | | | | | | | | | (480) ~ c1_1(a1008)
% 264.97/36.61 | | | | | | | | | (481) c2_1(a1008)
% 264.97/36.61 | | | | | | | | |
% 264.97/36.61 | | | | | | | | | BETA: splitting (80) gives:
% 264.97/36.61 | | | | | | | | |
% 264.97/36.61 | | | | | | | | | Case 1:
% 264.97/36.61 | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | (482) ~ hskp8
% 264.97/36.61 | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | BETA: splitting (83) gives:
% 264.97/36.61 | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | Case 1:
% 264.97/36.61 | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | (483) ~ hskp11
% 264.97/36.61 | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | BETA: splitting (78) gives:
% 264.97/36.61 | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | Case 1:
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | (484) ~ hskp6
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | BETA: splitting (81) gives:
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | Case 1:
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | (485) ~ hskp9
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | REF_CLOSE: (12), (14), (20), (21), (24), (29), (34), (46),
% 264.97/36.61 | | | | | | | | | | | | | (49), (62), (67), (84), (86), (96), (99), (106),
% 264.97/36.61 | | | | | | | | | | | | | (108), (109), (110), (475), (476), (483), (484),
% 264.97/36.61 | | | | | | | | | | | | | (485) are inconsistent by sub-proof #148.
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | Case 2:
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | (486) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~
% 264.97/36.61 | | | | | | | | | | | | | c2_1(a1011)
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | REF_CLOSE: (2), (9), (20), (31), (106), (109), (466), (467),
% 264.97/36.61 | | | | | | | | | | | | | (468), (475), (476), (486) are inconsistent by
% 264.97/36.61 | | | | | | | | | | | | | sub-proof #100.
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | End of split
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | Case 2:
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | (487) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 264.97/36.61 | | | | | | | | | | | | c2_1(a1006)
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | REF_CLOSE: (2), (6), (20), (31), (106), (109), (466), (467),
% 264.97/36.61 | | | | | | | | | | | | (468), (476), (487) are inconsistent by sub-proof
% 264.97/36.61 | | | | | | | | | | | | #98.
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | End of split
% 264.97/36.61 | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | Case 2:
% 264.97/36.61 | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | (488) c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~
% 264.97/36.61 | | | | | | | | | | | c0_1(a1015)
% 264.97/36.61 | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | ALPHA: (488) implies:
% 264.97/36.61 | | | | | | | | | | | (489) ~ c0_1(a1015)
% 264.97/36.61 | | | | | | | | | | | (490) ~ c1_1(a1015)
% 264.97/36.61 | | | | | | | | | | | (491) c3_1(a1015)
% 264.97/36.61 | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | BETA: splitting (78) gives:
% 264.97/36.61 | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | Case 1:
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | (492) ~ hskp6
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | BETA: splitting (81) gives:
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | Case 1:
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | (493) ~ hskp9
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | REF_CLOSE: (7), (11), (12), (14), (20), (21), (24), (28),
% 264.97/36.61 | | | | | | | | | | | | | (29), (34), (49), (62), (67), (84), (86), (96),
% 264.97/36.61 | | | | | | | | | | | | | (99), (106), (107), (108), (109), (110), (475),
% 264.97/36.61 | | | | | | | | | | | | | (476), (479), (480), (481), (489), (490), (491),
% 264.97/36.61 | | | | | | | | | | | | | (492), (493) are inconsistent by sub-proof #128.
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | Case 2:
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | (494) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~
% 264.97/36.61 | | | | | | | | | | | | | c2_1(a1011)
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | ALPHA: (494) implies:
% 264.97/36.61 | | | | | | | | | | | | | (495) ~ c2_1(a1011)
% 264.97/36.61 | | | | | | | | | | | | | (496) c0_1(a1011)
% 264.97/36.61 | | | | | | | | | | | | | (497) c1_1(a1011)
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | | REF_CLOSE: (7), (9), (11), (23), (28), (65), (98), (107),
% 264.97/36.61 | | | | | | | | | | | | | (479), (480), (481), (482), (489), (490), (491),
% 264.97/36.61 | | | | | | | | | | | | | (495), (496), (497) are inconsistent by sub-proof
% 264.97/36.61 | | | | | | | | | | | | | #97.
% 264.97/36.61 | | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | End of split
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | Case 2:
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | (498) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 264.97/36.61 | | | | | | | | | | | | c2_1(a1006)
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.61 | | | | | | | | | | | | REF_CLOSE: (2), (6), (20), (31), (106), (109), (466), (467),
% 264.97/36.61 | | | | | | | | | | | | (468), (476), (498) are inconsistent by sub-proof
% 264.97/36.61 | | | | | | | | | | | | #98.
% 264.97/36.61 | | | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | | End of split
% 264.97/36.62 | | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | End of split
% 264.97/36.62 | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | Case 2:
% 264.97/36.62 | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | (499) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 264.97/36.62 | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | ALPHA: (499) implies:
% 264.97/36.62 | | | | | | | | | | (500) ~ c1_1(a1010)
% 264.97/36.62 | | | | | | | | | | (501) c0_1(a1010)
% 264.97/36.62 | | | | | | | | | | (502) c3_1(a1010)
% 264.97/36.62 | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | REF_CLOSE: (2), (8), (9), (12), (20), (29), (31), (34), (49),
% 264.97/36.62 | | | | | | | | | | (58), (81), (84), (106), (107), (108), (109),
% 264.97/36.62 | | | | | | | | | | (466), (467), (468), (475), (476), (500), (501),
% 264.97/36.62 | | | | | | | | | | (502) are inconsistent by sub-proof #96.
% 264.97/36.62 | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | End of split
% 264.97/36.62 | | | | | | | | |
% 264.97/36.62 | | | | | | | | End of split
% 264.97/36.62 | | | | | | | |
% 264.97/36.62 | | | | | | | End of split
% 264.97/36.62 | | | | | | |
% 264.97/36.62 | | | | | | End of split
% 264.97/36.62 | | | | | |
% 264.97/36.62 | | | | | Case 2:
% 264.97/36.62 | | | | | |
% 264.97/36.62 | | | | | | (503) c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048)
% 264.97/36.62 | | | | | |
% 264.97/36.62 | | | | | | ALPHA: (503) implies:
% 264.97/36.62 | | | | | | (504) ~ c0_1(a1048)
% 264.97/36.62 | | | | | | (505) ~ c3_1(a1048)
% 264.97/36.62 | | | | | | (506) c1_1(a1048)
% 264.97/36.62 | | | | | |
% 264.97/36.62 | | | | | | BETA: splitting (75) gives:
% 264.97/36.62 | | | | | |
% 264.97/36.62 | | | | | | Case 1:
% 264.97/36.62 | | | | | | |
% 264.97/36.62 | | | | | | | (507) ~ hskp2
% 264.97/36.62 | | | | | | |
% 264.97/36.62 | | | | | | | BETA: splitting (79) gives:
% 264.97/36.62 | | | | | | |
% 264.97/36.62 | | | | | | | Case 1:
% 264.97/36.62 | | | | | | | |
% 264.97/36.62 | | | | | | | | (508) ~ hskp7
% 264.97/36.62 | | | | | | | |
% 264.97/36.62 | | | | | | | | BETA: splitting (42) gives:
% 264.97/36.62 | | | | | | | |
% 264.97/36.62 | | | | | | | | Case 1:
% 264.97/36.62 | | | | | | | | |
% 264.97/36.62 | | | | | | | | | (509) hskp7
% 264.97/36.62 | | | | | | | | |
% 264.97/36.62 | | | | | | | | | PRED_UNIFY: (508), (509) imply:
% 264.97/36.62 | | | | | | | | | (510) $false
% 264.97/36.62 | | | | | | | | |
% 264.97/36.62 | | | | | | | | | CLOSE: (510) is inconsistent.
% 264.97/36.62 | | | | | | | | |
% 264.97/36.62 | | | | | | | | Case 2:
% 264.97/36.62 | | | | | | | | |
% 264.97/36.62 | | | | | | | | | (511) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0)
% 264.97/36.62 | | | | | | | | | | ~ c0_1(v0) | ~ ndr1_0)
% 264.97/36.62 | | | | | | | | |
% 264.97/36.62 | | | | | | | | | BETA: splitting (83) gives:
% 264.97/36.62 | | | | | | | | |
% 264.97/36.62 | | | | | | | | | Case 1:
% 264.97/36.62 | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | (512) ~ hskp11
% 264.97/36.62 | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | BETA: splitting (78) gives:
% 264.97/36.62 | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | Case 1:
% 264.97/36.62 | | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | | (513) ~ hskp6
% 264.97/36.62 | | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | | BETA: splitting (80) gives:
% 264.97/36.62 | | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | | Case 1:
% 264.97/36.62 | | | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | | | (514) ~ hskp8
% 264.97/36.62 | | | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | | | REF_CLOSE: (13), (20), (25), (50), (69), (85), (100), (107),
% 264.97/36.62 | | | | | | | | | | | | (108), (109), (511), (513), (514) are inconsistent
% 264.97/36.62 | | | | | | | | | | | | by sub-proof #93.
% 264.97/36.62 | | | | | | | | | | | |
% 264.97/36.62 | | | | | | | | | | | Case 2:
% 264.97/36.62 | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | (515) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~
% 265.16/36.62 | | | | | | | | | | | | c1_1(a1010)
% 265.16/36.62 | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | ALPHA: (515) implies:
% 265.16/36.62 | | | | | | | | | | | | (516) ~ c1_1(a1010)
% 265.16/36.62 | | | | | | | | | | | | (517) c0_1(a1010)
% 265.16/36.62 | | | | | | | | | | | | (518) c3_1(a1010)
% 265.16/36.62 | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | BETA: splitting (85) gives:
% 265.16/36.62 | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | Case 1:
% 265.16/36.62 | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | (519) ~ hskp13
% 265.16/36.62 | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | REF_CLOSE: (8), (20), (22), (29), (50), (106), (107), (108),
% 265.16/36.62 | | | | | | | | | | | | | (109), (504), (505), (506), (513), (516), (517),
% 265.16/36.62 | | | | | | | | | | | | | (518), (519) are inconsistent by sub-proof #92.
% 265.16/36.62 | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | Case 2:
% 265.16/36.62 | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | (520) c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~
% 265.16/36.62 | | | | | | | | | | | | | c2_1(a1023)
% 265.16/36.62 | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | ALPHA: (520) implies:
% 265.16/36.62 | | | | | | | | | | | | | (521) ~ c2_1(a1023)
% 265.16/36.62 | | | | | | | | | | | | | (522) ~ c1_1(a1023)
% 265.16/36.62 | | | | | | | | | | | | | (523) c3_1(a1023)
% 265.16/36.62 | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | BETA: splitting (84) gives:
% 265.16/36.62 | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | Case 1:
% 265.16/36.62 | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | (524) ~ hskp12
% 265.16/36.62 | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | REF_CLOSE: (22), (48), (107), (504), (505), (506), (513),
% 265.16/36.62 | | | | | | | | | | | | | | (524) are inconsistent by sub-proof #115.
% 265.16/36.62 | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | Case 2:
% 265.16/36.62 | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | (525) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.16/36.62 | | | | | | | | | | | | | | c0_1(a1019)
% 265.16/36.62 | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | ALPHA: (525) implies:
% 265.16/36.62 | | | | | | | | | | | | | | (526) c2_1(a1019)
% 265.16/36.62 | | | | | | | | | | | | | | (527) c1_1(a1019)
% 265.16/36.62 | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 265.16/36.62 | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | Case 1:
% 265.16/36.62 | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | (528) ~ hskp24
% 265.16/36.62 | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.16/36.62 | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | Case 1:
% 265.16/36.62 | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | (529) ~ hskp4
% 265.16/36.62 | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 265.16/36.62 | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.62 | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | (530) hskp7
% 265.16/36.62 | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | PRED_UNIFY: (508), (530) imply:
% 265.16/36.62 | | | | | | | | | | | | | | | | | (531) $false
% 265.16/36.62 | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | CLOSE: (531) is inconsistent.
% 265.16/36.62 | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.62 | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | (532) hskp21 | hskp4
% 265.16/36.62 | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 265.16/36.62 | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.62 | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | (533) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.16/36.62 | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.16/36.62 | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 265.16/36.62 | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | (534) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (535) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c3_1(v0))
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (535) with a1019, simplifying with
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (12), (107), (526), (527) gives:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (536) c3_1(a1019)
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (534) with a1019, simplifying with
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (12), (107), (526), (527), (536) gives:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (537) $false
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | CLOSE: (537) is inconsistent.
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (538) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | | c2_1(v0))
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (8), (107), (466), (467), (468), (516),
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (517), (518), (533), (538) are inconsistent by
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | sub-proof #91.
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | (539) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | c2_1(v0))
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | BETA: splitting (539) gives:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (540) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (540) with a1048, simplifying with
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (22), (107), (504), (505), (506) gives:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (541) $false
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | CLOSE: (541) is inconsistent.
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (542) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c2_1(v0))
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (542) with a1023, simplifying with
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (13), (107), (521), (522), (523) gives:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | (543) $false
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | CLOSE: (543) is inconsistent.
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.62 | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.62 | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | (544) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.16/36.62 | | | | | | | | | | | | | | | | | | $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | c2_1(v0))
% 265.16/36.62 | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | BETA: splitting (544) gives:
% 265.16/36.62 | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | (545) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (93), (529), (532), (545) are inconsistent
% 265.16/36.62 | | | | | | | | | | | | | | | | | | | by sub-proof #111.
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.62 | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.62 | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | (546) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 265.16/36.63 | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (24), (62), (67), (86), (99), (110), (513),
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | (528), (546) are inconsistent by sub-proof #152.
% 265.16/36.63 | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.63 | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | End of split
% 265.16/36.63 | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | End of split
% 265.16/36.63 | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | (547) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.16/36.63 | | | | | | | | | | | | | | | | c3_1(a1004)
% 265.16/36.63 | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (13), (14), (18), (20), (22), (24),
% 265.16/36.63 | | | | | | | | | | | | | | | | (25), (27), (29), (31), (36), (42), (50), (56),
% 265.16/36.63 | | | | | | | | | | | | | | | | (67), (69), (77), (80), (85), (86), (93), (99),
% 265.16/36.63 | | | | | | | | | | | | | | | | (100), (106), (108), (109), (466), (467), (468),
% 265.16/36.63 | | | | | | | | | | | | | | | | (504), (505), (506), (507), (508), (511), (513),
% 265.16/36.63 | | | | | | | | | | | | | | | | (516), (517), (518), (547) are inconsistent by
% 265.16/36.63 | | | | | | | | | | | | | | | | sub-proof #86.
% 265.16/36.63 | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | End of split
% 265.16/36.63 | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | (548) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~
% 265.16/36.63 | | | | | | | | | | | | | | | c0_1(a1045)
% 265.16/36.63 | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | ALPHA: (548) implies:
% 265.16/36.63 | | | | | | | | | | | | | | | (549) ~ c0_1(a1045)
% 265.16/36.63 | | | | | | | | | | | | | | | (550) c3_1(a1045)
% 265.16/36.63 | | | | | | | | | | | | | | | (551) c1_1(a1045)
% 265.16/36.63 | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (46), (107), (504), (505), (506),
% 265.16/36.63 | | | | | | | | | | | | | | | (512), (549), (550), (551) are inconsistent by
% 265.16/36.63 | | | | | | | | | | | | | | | sub-proof #105.
% 265.16/36.63 | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | End of split
% 265.16/36.63 | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | End of split
% 265.16/36.63 | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | End of split
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | End of split
% 265.16/36.63 | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | (552) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.16/36.63 | | | | | | | | | | | c2_1(a1006)
% 265.16/36.63 | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | ALPHA: (552) implies:
% 265.16/36.63 | | | | | | | | | | | (553) ~ c2_1(a1006)
% 265.16/36.63 | | | | | | | | | | | (554) c0_1(a1006)
% 265.16/36.63 | | | | | | | | | | | (555) c3_1(a1006)
% 265.16/36.63 | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | BETA: splitting (80) gives:
% 265.16/36.63 | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | (556) ~ hskp8
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | REF_CLOSE: (2), (6), (22), (31), (44), (107), (466), (467),
% 265.16/36.63 | | | | | | | | | | | | (468), (504), (505), (506), (508), (553), (554),
% 265.16/36.63 | | | | | | | | | | | | (555), (556) are inconsistent by sub-proof #85.
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | (557) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~
% 265.16/36.63 | | | | | | | | | | | | c1_1(a1010)
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | ALPHA: (557) implies:
% 265.16/36.63 | | | | | | | | | | | | (558) ~ c1_1(a1010)
% 265.16/36.63 | | | | | | | | | | | | (559) c0_1(a1010)
% 265.16/36.63 | | | | | | | | | | | | (560) c3_1(a1010)
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | (561) ~ hskp15
% 265.16/36.63 | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | REF_CLOSE: (8), (21), (22), (46), (63), (96), (107), (504),
% 265.16/36.63 | | | | | | | | | | | | | (505), (506), (512), (558), (559), (560), (561)
% 265.16/36.63 | | | | | | | | | | | | | are inconsistent by sub-proof #83.
% 265.16/36.63 | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | (562) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.16/36.63 | | | | | | | | | | | | | c0_1(a1026)
% 265.16/36.63 | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (15), (31), (39), (77), (466),
% 265.16/36.63 | | | | | | | | | | | | | (467), (468), (553), (554), (555), (562) are
% 265.16/36.63 | | | | | | | | | | | | | inconsistent by sub-proof #80.
% 265.16/36.63 | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | End of split
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | End of split
% 265.16/36.63 | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | End of split
% 265.16/36.63 | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | (563) c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~
% 265.16/36.63 | | | | | | | | | | c0_1(a1015)
% 265.16/36.63 | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | ALPHA: (563) implies:
% 265.16/36.63 | | | | | | | | | | (564) ~ c0_1(a1015)
% 265.16/36.63 | | | | | | | | | | (565) ~ c1_1(a1015)
% 265.16/36.63 | | | | | | | | | | (566) c3_1(a1015)
% 265.16/36.63 | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | BETA: splitting (78) gives:
% 265.16/36.63 | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | (567) ~ hskp6
% 265.16/36.63 | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | BETA: splitting (80) gives:
% 265.16/36.63 | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | (568) ~ hskp8
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | REF_CLOSE: (13), (20), (25), (50), (69), (85), (100), (107),
% 265.16/36.63 | | | | | | | | | | | | (108), (109), (511), (567), (568) are inconsistent
% 265.16/36.63 | | | | | | | | | | | | by sub-proof #93.
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | (569) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~
% 265.16/36.63 | | | | | | | | | | | | c1_1(a1010)
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | ALPHA: (569) implies:
% 265.16/36.63 | | | | | | | | | | | | (570) ~ c1_1(a1010)
% 265.16/36.63 | | | | | | | | | | | | (571) c0_1(a1010)
% 265.16/36.63 | | | | | | | | | | | | (572) c3_1(a1010)
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | BETA: splitting (73) gives:
% 265.16/36.63 | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | (573) ~ hskp0
% 265.16/36.63 | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | BETA: splitting (98) gives:
% 265.16/36.63 | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | (574) ~ hskp26
% 265.16/36.63 | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (18), (20), (22), (24), (27), (29),
% 265.16/36.63 | | | | | | | | | | | | | | (36), (42), (56), (68), (77), (93), (99), (106),
% 265.16/36.63 | | | | | | | | | | | | | | (108), (109), (504), (505), (506), (507), (508),
% 265.16/36.63 | | | | | | | | | | | | | | (511), (570), (571), (572), (574) are inconsistent
% 265.16/36.63 | | | | | | | | | | | | | | by sub-proof #79.
% 265.16/36.63 | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | (575) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 265.16/36.63 | | | | | | | | | | | | | | c0_1(a1052)
% 265.16/36.63 | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | ALPHA: (575) implies:
% 265.16/36.63 | | | | | | | | | | | | | | (576) ~ c0_1(a1052)
% 265.16/36.63 | | | | | | | | | | | | | | (577) ~ c2_1(a1052)
% 265.16/36.63 | | | | | | | | | | | | | | (578) c3_1(a1052)
% 265.16/36.63 | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.16/36.63 | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | (579) ~ hskp4
% 265.16/36.63 | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 265.16/36.63 | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | (580) hskp7
% 265.16/36.63 | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | PRED_UNIFY: (508), (580) imply:
% 265.16/36.63 | | | | | | | | | | | | | | | | (581) $false
% 265.16/36.63 | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | CLOSE: (581) is inconsistent.
% 265.16/36.63 | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | (582) hskp21 | hskp4
% 265.16/36.63 | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | BETA: splitting (582) gives:
% 265.16/36.63 | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | (583) hskp4
% 265.16/36.63 | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | PRED_UNIFY: (579), (583) imply:
% 265.16/36.63 | | | | | | | | | | | | | | | | | (584) $false
% 265.16/36.63 | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | CLOSE: (584) is inconsistent.
% 265.16/36.63 | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | (585) hskp21
% 265.16/36.63 | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 265.16/36.63 | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | (586) ~ hskp21
% 265.16/36.63 | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (585), (586) imply:
% 265.16/36.63 | | | | | | | | | | | | | | | | | | (587) $false
% 265.16/36.63 | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | CLOSE: (587) is inconsistent.
% 265.16/36.63 | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | (588) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~
% 265.16/36.63 | | | | | | | | | | | | | | | | | | c0_1(a1041)
% 265.16/36.63 | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | ALPHA: (588) implies:
% 265.16/36.63 | | | | | | | | | | | | | | | | | | (589) ~ c0_1(a1041)
% 265.16/36.63 | | | | | | | | | | | | | | | | | | (590) ~ c3_1(a1041)
% 265.16/36.63 | | | | | | | | | | | | | | | | | | (591) c2_1(a1041)
% 265.16/36.63 | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 265.16/36.63 | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | (592) ~ hskp27
% 265.16/36.63 | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 265.16/36.63 | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | (593) hskp0
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (573), (593) imply:
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | (594) $false
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | CLOSE: (594) is inconsistent.
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | (595) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | | (596) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.63 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | (597) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (597) with a1015, simplifying with
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | (11), (107), (564), (565), (566) gives:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | (598) $false
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (598) is inconsistent.
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | (599) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | c3_1(v0))
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (599) gives:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | (600) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0))
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (600) with a1052, simplifying with
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | (23), (107), (576), (577), (578) gives:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | (601) $false
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (601) is inconsistent.
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | (602) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c3_1(v0))
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (602) with a1041, simplifying with
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | (18), (107), (590), (591) gives:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | (603) c1_1(a1041)
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | (604) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c3_1(v0))
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (22), (107), (504), (505), (506), (589),
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | (591), (595), (603), (604) are inconsistent by
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | (605) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0))
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (605) gives:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | (606) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (606) with a1001, simplifying with
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | (2), (107), (466), (467), (468) gives:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | (607) $false
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (607) is inconsistent.
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | (608) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (608) with a1010, simplifying with
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | (8), (107), (571), (572) gives:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | (609) c2_1(a1010)
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (596) with a1010, simplifying with
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | (8), (107), (570), (571), (609) gives:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | (610) $false
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (610) is inconsistent.
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | (611) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | c2_1(v0))
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (611) gives:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | (612) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (93), (579), (582), (612) are inconsistent
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | by sub-proof #111.
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | (613) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (67), (86), (567), (592), (613) are
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #153.
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.64 | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | (614) hskp27
% 265.16/36.64 | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (13), (18), (20), (22), (24), (25),
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | (27), (29), (36), (42), (50), (56), (69), (77),
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | (80), (85), (93), (99), (100), (106), (108),
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | (109), (504), (505), (506), (507), (508), (511),
% 265.16/36.64 | | | | | | | | | | | | | | | | | | | (567), (614) are inconsistent by sub-proof #87.
% 265.16/36.64 | | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | Case 2:
% 265.16/36.64 | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | (615) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.16/36.64 | | | | | | | | | | | | | | | c3_1(a1004)
% 265.16/36.64 | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (13), (14), (18), (20), (22), (24),
% 265.16/36.64 | | | | | | | | | | | | | | | (25), (27), (29), (31), (36), (42), (50), (56),
% 265.16/36.64 | | | | | | | | | | | | | | | (67), (69), (77), (80), (85), (86), (93), (99),
% 265.16/36.64 | | | | | | | | | | | | | | | (100), (106), (108), (109), (466), (467), (468),
% 265.16/36.64 | | | | | | | | | | | | | | | (504), (505), (506), (507), (508), (511), (567),
% 265.16/36.64 | | | | | | | | | | | | | | | (570), (571), (572), (615) are inconsistent by
% 265.16/36.64 | | | | | | | | | | | | | | | sub-proof #86.
% 265.16/36.64 | | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | Case 2:
% 265.16/36.64 | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | (616) c2_1(a1000) & c0_1(a1000) & ndr1_0 & ~
% 265.16/36.64 | | | | | | | | | | | | | c3_1(a1000)
% 265.16/36.64 | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | REF_CLOSE: (1), (8), (22), (29), (504), (505), (506), (570),
% 265.16/36.64 | | | | | | | | | | | | | (571), (572), (616) are inconsistent by sub-proof
% 265.16/36.64 | | | | | | | | | | | | | #77.
% 265.16/36.64 | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | End of split
% 265.16/36.64 | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | Case 2:
% 265.16/36.64 | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | (617) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.16/36.64 | | | | | | | | | | | c2_1(a1006)
% 265.16/36.64 | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | ALPHA: (617) implies:
% 265.16/36.64 | | | | | | | | | | | (618) ~ c2_1(a1006)
% 265.16/36.64 | | | | | | | | | | | (619) c0_1(a1006)
% 265.16/36.64 | | | | | | | | | | | (620) c3_1(a1006)
% 265.16/36.64 | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | BETA: splitting (80) gives:
% 265.16/36.64 | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | Case 1:
% 265.16/36.64 | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | (621) ~ hskp8
% 265.16/36.64 | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | REF_CLOSE: (2), (6), (22), (31), (44), (107), (466), (467),
% 265.16/36.64 | | | | | | | | | | | | (468), (504), (505), (506), (508), (618), (619),
% 265.16/36.64 | | | | | | | | | | | | (620), (621) are inconsistent by sub-proof #85.
% 265.16/36.64 | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | Case 2:
% 265.16/36.64 | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | (622) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~
% 265.16/36.64 | | | | | | | | | | | | c1_1(a1010)
% 265.16/36.64 | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | ALPHA: (622) implies:
% 265.16/36.64 | | | | | | | | | | | | (623) ~ c1_1(a1010)
% 265.16/36.64 | | | | | | | | | | | | (624) c0_1(a1010)
% 265.16/36.64 | | | | | | | | | | | | (625) c3_1(a1010)
% 265.16/36.64 | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | BETA: splitting (73) gives:
% 265.16/36.64 | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | Case 1:
% 265.16/36.64 | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | (626) ~ hskp0
% 265.16/36.64 | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | BETA: splitting (98) gives:
% 265.16/36.64 | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | Case 1:
% 265.16/36.64 | | | | | | | | | | | | | |
% 265.16/36.64 | | | | | | | | | | | | | | (627) ~ hskp26
% 265.16/36.64 | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (18), (20), (22), (24), (27), (29),
% 265.16/36.65 | | | | | | | | | | | | | | (36), (42), (56), (68), (77), (93), (99), (106),
% 265.16/36.65 | | | | | | | | | | | | | | (108), (109), (504), (505), (506), (507), (508),
% 265.16/36.65 | | | | | | | | | | | | | | (511), (623), (624), (625), (627) are inconsistent
% 265.16/36.65 | | | | | | | | | | | | | | by sub-proof #79.
% 265.16/36.65 | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | Case 2:
% 265.16/36.65 | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | (628) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 265.16/36.65 | | | | | | | | | | | | | | c0_1(a1052)
% 265.16/36.65 | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | ALPHA: (628) implies:
% 265.16/36.65 | | | | | | | | | | | | | | (629) ~ c0_1(a1052)
% 265.16/36.65 | | | | | | | | | | | | | | (630) ~ c2_1(a1052)
% 265.16/36.65 | | | | | | | | | | | | | | (631) c3_1(a1052)
% 265.16/36.65 | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.16/36.65 | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | Case 1:
% 265.16/36.65 | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | (632) ~ hskp4
% 265.16/36.65 | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 265.16/36.65 | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | Case 1:
% 265.16/36.65 | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | (633) hskp7
% 265.16/36.65 | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | PRED_UNIFY: (508), (633) imply:
% 265.16/36.65 | | | | | | | | | | | | | | | | (634) $false
% 265.16/36.65 | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | CLOSE: (634) is inconsistent.
% 265.16/36.65 | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | Case 2:
% 265.16/36.65 | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | (635) hskp21 | hskp4
% 265.16/36.65 | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | BETA: splitting (635) gives:
% 265.16/36.65 | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.65 | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | (636) hskp4
% 265.16/36.65 | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | PRED_UNIFY: (632), (636) imply:
% 265.16/36.65 | | | | | | | | | | | | | | | | | (637) $false
% 265.16/36.65 | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | CLOSE: (637) is inconsistent.
% 265.16/36.65 | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.65 | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | (638) hskp21
% 265.16/36.65 | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 265.16/36.65 | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.65 | | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | | (639) ~ hskp21
% 265.16/36.65 | | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (638), (639) imply:
% 265.16/36.65 | | | | | | | | | | | | | | | | | | (640) $false
% 265.16/36.65 | | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | | CLOSE: (640) is inconsistent.
% 265.16/36.65 | | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | Case 2:
% 265.16/36.65 | | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | | (641) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~
% 265.16/36.65 | | | | | | | | | | | | | | | | | | c0_1(a1041)
% 265.16/36.65 | | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | | ALPHA: (641) implies:
% 265.16/36.65 | | | | | | | | | | | | | | | | | | (642) ~ c0_1(a1041)
% 265.16/36.65 | | | | | | | | | | | | | | | | | | (643) ~ c3_1(a1041)
% 265.16/36.65 | | | | | | | | | | | | | | | | | | (644) c2_1(a1041)
% 265.16/36.65 | | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | | BETA: splitting (35) gives:
% 265.16/36.65 | | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | | Case 1:
% 265.16/36.65 | | | | | | | | | | | | | | | | | | |
% 265.16/36.65 | | | | | | | | | | | | | | | | | | | (645) hskp0
% 265.16/36.65 | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (626), (645) imply:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | (646) $false
% 265.31/36.65 | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | CLOSE: (646) is inconsistent.
% 265.31/36.65 | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | (647) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 265.31/36.65 | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | (648) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (648) with a1015, simplifying with
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | (11), (107), (564), (565), (566) gives:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | (649) $false
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | CLOSE: (649) is inconsistent.
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | (650) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | c3_1(v0))
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | BETA: splitting (650) gives:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | (651) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0))
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (651) with a1052, simplifying with
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | (23), (107), (629), (630), (631) gives:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | (652) $false
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | CLOSE: (652) is inconsistent.
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | (653) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c3_1(v0))
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (653) with a1041, simplifying with
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | (18), (107), (643), (644) gives:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | (654) c1_1(a1041)
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | (655) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c3_1(v0))
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (22), (107), (504), (505), (506), (642),
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | (644), (647), (654), (655) are inconsistent by
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | (656) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0))
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (656) gives:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | (657) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (657) with a1001, simplifying with
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | (2), (107), (466), (467), (468) gives:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | (658) $false
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (658) is inconsistent.
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | (659) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (659) with a1006, simplifying with
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | (6), (107), (618), (619), (620) gives:
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | (660) $false
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (660) is inconsistent.
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | Case 2:
% 265.31/36.65 | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | (661) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.31/36.65 | | | | | | | | | | | | | | | c3_1(a1004)
% 265.31/36.65 | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (31), (466), (467), (468), (618),
% 265.31/36.65 | | | | | | | | | | | | | | | (619), (620), (661) are inconsistent by sub-proof
% 265.31/36.65 | | | | | | | | | | | | | | | #81.
% 265.31/36.65 | | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | Case 2:
% 265.31/36.65 | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | (662) c2_1(a1000) & c0_1(a1000) & ndr1_0 & ~
% 265.31/36.65 | | | | | | | | | | | | | c3_1(a1000)
% 265.31/36.65 | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | | REF_CLOSE: (1), (8), (22), (29), (504), (505), (506), (623),
% 265.31/36.65 | | | | | | | | | | | | | (624), (625), (662) are inconsistent by sub-proof
% 265.31/36.65 | | | | | | | | | | | | | #77.
% 265.31/36.65 | | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | End of split
% 265.31/36.65 | | | | | | | | |
% 265.31/36.65 | | | | | | | | End of split
% 265.31/36.65 | | | | | | | |
% 265.31/36.65 | | | | | | | Case 2:
% 265.31/36.65 | | | | | | | |
% 265.31/36.65 | | | | | | | | (663) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~ c3_1(a1008)
% 265.31/36.65 | | | | | | | |
% 265.31/36.65 | | | | | | | | ALPHA: (663) implies:
% 265.31/36.65 | | | | | | | | (664) ~ c3_1(a1008)
% 265.31/36.65 | | | | | | | | (665) ~ c1_1(a1008)
% 265.31/36.65 | | | | | | | | (666) c2_1(a1008)
% 265.31/36.65 | | | | | | | |
% 265.31/36.65 | | | | | | | | BETA: splitting (80) gives:
% 265.31/36.65 | | | | | | | |
% 265.31/36.65 | | | | | | | | Case 1:
% 265.31/36.65 | | | | | | | | |
% 265.31/36.65 | | | | | | | | | (667) ~ hskp8
% 265.31/36.65 | | | | | | | | |
% 265.31/36.65 | | | | | | | | | BETA: splitting (83) gives:
% 265.31/36.65 | | | | | | | | |
% 265.31/36.65 | | | | | | | | | Case 1:
% 265.31/36.65 | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | (668) ~ hskp11
% 265.31/36.65 | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | REF_CLOSE: (7), (21), (22), (23), (24), (26), (28), (46),
% 265.31/36.65 | | | | | | | | | | (62), (65), (72), (96), (98), (99), (101), (110),
% 265.31/36.65 | | | | | | | | | | (504), (505), (506), (664), (665), (666), (667),
% 265.31/36.65 | | | | | | | | | | (668) are inconsistent by sub-proof #75.
% 265.31/36.65 | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | Case 2:
% 265.31/36.65 | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | (669) c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~
% 265.31/36.65 | | | | | | | | | | c0_1(a1015)
% 265.31/36.65 | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | ALPHA: (669) implies:
% 265.31/36.65 | | | | | | | | | | (670) ~ c0_1(a1015)
% 265.31/36.65 | | | | | | | | | | (671) ~ c1_1(a1015)
% 265.31/36.65 | | | | | | | | | | (672) c3_1(a1015)
% 265.31/36.65 | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | BETA: splitting (84) gives:
% 265.31/36.65 | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | Case 1:
% 265.31/36.65 | | | | | | | | | | |
% 265.31/36.65 | | | | | | | | | | | (673) ~ hskp12
% 265.31/36.65 | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | REF_CLOSE: (6), (7), (11), (20), (22), (23), (28), (29),
% 265.31/36.66 | | | | | | | | | | | (48), (65), (78), (98), (106), (107), (108),
% 265.31/36.66 | | | | | | | | | | | (109), (504), (505), (506), (664), (665), (666),
% 265.31/36.66 | | | | | | | | | | | (667), (670), (671), (672), (673) are inconsistent
% 265.31/36.66 | | | | | | | | | | | by sub-proof #112.
% 265.31/36.66 | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | (674) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.31/36.66 | | | | | | | | | | | c0_1(a1019)
% 265.31/36.66 | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | ALPHA: (674) implies:
% 265.31/36.66 | | | | | | | | | | | (675) ~ c0_1(a1019)
% 265.31/36.66 | | | | | | | | | | | (676) c2_1(a1019)
% 265.31/36.66 | | | | | | | | | | | (677) c1_1(a1019)
% 265.31/36.66 | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | BETA: splitting (98) gives:
% 265.31/36.66 | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | (678) ~ hskp26
% 265.31/36.66 | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | BETA: splitting (72) gives:
% 265.31/36.66 | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | (679) hskp3
% 265.31/36.66 | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | PRED_UNIFY: (110), (679) imply:
% 265.31/36.66 | | | | | | | | | | | | | (680) $false
% 265.31/36.66 | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | CLOSE: (680) is inconsistent.
% 265.31/36.66 | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | (681) hskp29 | hskp26
% 265.31/36.66 | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | BETA: splitting (65) gives:
% 265.31/36.66 | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | (682) hskp8
% 265.31/36.66 | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | PRED_UNIFY: (667), (682) imply:
% 265.31/36.66 | | | | | | | | | | | | | | (683) $false
% 265.31/36.66 | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | CLOSE: (683) is inconsistent.
% 265.31/36.66 | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | (684) hskp26 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.31/36.66 | | | | | | | | | | | | | | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 265.31/36.66 | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | BETA: splitting (681) gives:
% 265.31/36.66 | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | (685) hskp29
% 265.31/36.66 | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | BETA: splitting (684) gives:
% 265.31/36.66 | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | (686) hskp26
% 265.31/36.66 | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | PRED_UNIFY: (678), (686) imply:
% 265.31/36.66 | | | | | | | | | | | | | | | | (687) $false
% 265.31/36.66 | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | CLOSE: (687) is inconsistent.
% 265.31/36.66 | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | (688) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.31/36.66 | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 265.31/36.66 | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (688) with a1044, simplifying with
% 265.31/36.66 | | | | | | | | | | | | | | | | (20), (107), (108), (109) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | | (689) c2_1(a1044)
% 265.31/36.66 | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | (690) ~ hskp29
% 265.31/36.66 | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | PRED_UNIFY: (685), (690) imply:
% 265.31/36.66 | | | | | | | | | | | | | | | | | (691) $false
% 265.31/36.66 | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | CLOSE: (691) is inconsistent.
% 265.31/36.66 | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | (692) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 265.31/36.66 | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | ALPHA: (692) implies:
% 265.31/36.66 | | | | | | | | | | | | | | | | | (693) c0_1(a1040)
% 265.31/36.66 | | | | | | | | | | | | | | | | | (694) c3_1(a1040)
% 265.31/36.66 | | | | | | | | | | | | | | | | | (695) c1_1(a1040)
% 265.31/36.66 | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | (696) ~ hskp24
% 265.31/36.66 | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | BETA: splitting (62) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | (697) hskp3
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (110), (697) imply:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | (698) $false
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | CLOSE: (698) is inconsistent.
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | (699) hskp24 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (699) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | (700) hskp24
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (696), (700) imply:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | (701) $false
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | CLOSE: (701) is inconsistent.
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | (702) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (107), (688), (693), (694), (695), (702) are
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | (703) hskp27
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (12), (20), (21), (24), (28), (29),
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | (34), (62), (96), (99), (106), (108), (110),
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | (664), (665), (666), (670), (671), (672), (675),
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | (676), (677), (689), (703) are inconsistent by
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | sub-proof #129.
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | (704) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~
% 265.31/36.66 | | | | | | | | | | | | | | | | | | c0_1(a1045)
% 265.31/36.66 | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | ALPHA: (704) implies:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | (705) ~ c0_1(a1045)
% 265.31/36.66 | | | | | | | | | | | | | | | | | | (706) c3_1(a1045)
% 265.31/36.66 | | | | | | | | | | | | | | | | | | (707) c1_1(a1045)
% 265.31/36.66 | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | BETA: splitting (91) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | (708) ~ hskp19
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (66) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | (709) hskp26
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (678), (709) imply:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | (710) $false
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | CLOSE: (710) is inconsistent.
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | (711) hskp19 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | BETA: splitting (711) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | (712) hskp19
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (708), (712) imply:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | (713) $false
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | CLOSE: (713) is inconsistent.
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | (714) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (107), (688), (693), (694), (695), (714) are
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | (715) ndr1_0 & ~ c1_1(a1037) & ~ c3_1(a1037) & ~
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | c0_1(a1037)
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (688) with a1040, simplifying with
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | (26), (107), (693), (695) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | (716) c2_1(a1040)
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | (717) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (717) with a1040, simplifying with
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | (26), (107), (694), (695), (716) gives:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | (718) $false
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | CLOSE: (718) is inconsistent.
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | (719) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (11), (21), (28), (107), (664), (665), (666),
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | (670), (671), (672), (705), (706), (707), (719)
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #74.
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | (720) hskp26
% 265.31/36.66 | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | PRED_UNIFY: (678), (720) imply:
% 265.31/36.66 | | | | | | | | | | | | | | | (721) $false
% 265.31/36.66 | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | | CLOSE: (721) is inconsistent.
% 265.31/36.66 | | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | (722) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 265.31/36.66 | | | | | | | | | | | | c0_1(a1052)
% 265.31/36.66 | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | ALPHA: (722) implies:
% 265.31/36.66 | | | | | | | | | | | | (723) ~ c0_1(a1052)
% 265.31/36.66 | | | | | | | | | | | | (724) ~ c2_1(a1052)
% 265.31/36.66 | | | | | | | | | | | | (725) c3_1(a1052)
% 265.31/36.66 | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | REF_CLOSE: (7), (11), (23), (28), (107), (664), (665), (666),
% 265.31/36.66 | | | | | | | | | | | | (670), (671), (672), (723), (724), (725) are
% 265.31/36.66 | | | | | | | | | | | | inconsistent by sub-proof #125.
% 265.31/36.66 | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | End of split
% 265.31/36.66 | | | | | | | | |
% 265.31/36.66 | | | | | | | | Case 2:
% 265.31/36.66 | | | | | | | | |
% 265.31/36.66 | | | | | | | | | (726) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 265.31/36.66 | | | | | | | | |
% 265.31/36.66 | | | | | | | | | ALPHA: (726) implies:
% 265.31/36.66 | | | | | | | | | (727) ~ c1_1(a1010)
% 265.31/36.66 | | | | | | | | | (728) c0_1(a1010)
% 265.31/36.66 | | | | | | | | | (729) c3_1(a1010)
% 265.31/36.66 | | | | | | | | |
% 265.31/36.66 | | | | | | | | | BETA: splitting (83) gives:
% 265.31/36.66 | | | | | | | | |
% 265.31/36.66 | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | (730) ~ hskp11
% 265.31/36.66 | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | BETA: splitting (85) gives:
% 265.31/36.66 | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | (731) ~ hskp13
% 265.31/36.66 | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | BETA: splitting (86) gives:
% 265.31/36.66 | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | (732) ~ hskp14
% 265.31/36.66 | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | BETA: splitting (78) gives:
% 265.31/36.66 | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | Case 1:
% 265.31/36.66 | | | | | | | | | | | | |
% 265.31/36.66 | | | | | | | | | | | | | (733) ~ hskp6
% 265.31/36.66 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | REF_CLOSE: (21), (22), (24), (46), (62), (67), (96), (99),
% 265.31/36.67 | | | | | | | | | | | | | (110), (504), (505), (506), (730), (732), (733)
% 265.31/36.67 | | | | | | | | | | | | | are inconsistent by sub-proof #103.
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | (734) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.31/36.67 | | | | | | | | | | | | | c2_1(a1006)
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | ALPHA: (734) implies:
% 265.31/36.67 | | | | | | | | | | | | | (735) ~ c2_1(a1006)
% 265.31/36.67 | | | | | | | | | | | | | (736) c0_1(a1006)
% 265.31/36.67 | | | | | | | | | | | | | (737) c3_1(a1006)
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | BETA: splitting (98) gives:
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | (738) ~ hskp26
% 265.31/36.67 | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 265.31/36.67 | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | (739) hskp3
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | PRED_UNIFY: (110), (739) imply:
% 265.31/36.67 | | | | | | | | | | | | | | | (740) $false
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | CLOSE: (740) is inconsistent.
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | (741) hskp29 | hskp26
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | BETA: splitting (741) gives:
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | (742) hskp29
% 265.31/36.67 | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.31/36.67 | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | (743) ~ hskp29
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | PRED_UNIFY: (742), (743) imply:
% 265.31/36.67 | | | | | | | | | | | | | | | | | (744) $false
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | CLOSE: (744) is inconsistent.
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | (745) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | ALPHA: (745) implies:
% 265.31/36.67 | | | | | | | | | | | | | | | | | (746) c0_1(a1040)
% 265.31/36.67 | | | | | | | | | | | | | | | | | (747) c3_1(a1040)
% 265.31/36.67 | | | | | | | | | | | | | | | | | (748) c1_1(a1040)
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | (749) ~ hskp4
% 265.31/36.67 | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (15), (21), (22), (39), (46), (63),
% 265.31/36.67 | | | | | | | | | | | | | | | | | | (87), (96), (107), (504), (505), (506), (727),
% 265.31/36.67 | | | | | | | | | | | | | | | | | | (728), (729), (730), (735), (736), (737), (749)
% 265.31/36.67 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #73.
% 265.31/36.67 | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | (750) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.31/36.67 | | | | | | | | | | | | | | | | | | c3_1(a1004)
% 265.31/36.67 | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | ALPHA: (750) implies:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | (751) ~ c3_1(a1004)
% 265.31/36.67 | | | | | | | | | | | | | | | | | | (752) c2_1(a1004)
% 265.31/36.67 | | | | | | | | | | | | | | | | | | (753) c1_1(a1004)
% 265.31/36.67 | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | BETA: splitting (29) gives:
% 265.31/36.67 | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | (754) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.31/36.67 | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (754) with a1048, simplifying with
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | (22), (107), (504), (505), (506) gives:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | (755) $false
% 265.31/36.67 | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | CLOSE: (755) is inconsistent.
% 265.31/36.67 | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | (756) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | c3_1(v0))
% 265.31/36.67 | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | BETA: splitting (756) gives:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | (757) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (757) with a1010, simplifying with
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | (8), (107), (727), (728), (729) gives:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | (758) $false
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | CLOSE: (758) is inconsistent.
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | (759) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | (760) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (22), (26), (31), (32), (107),
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | (466), (467), (468), (504), (505), (506), (727),
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | (728), (729), (746), (747), (748), (751), (752),
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | (753), (760) are inconsistent by sub-proof #71.
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | (761) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | c2_1(v0))
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (761) gives:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | (762) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (22), (29), (36), (107), (504), (505),
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | (506), (507), (727), (728), (729), (751), (752),
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | (762) are inconsistent by sub-proof #108.
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | (763) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (763) with a1044, simplifying with
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | (20), (106), (107), (108) gives:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | (764) c2_1(a1044)
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (759) with a1044, simplifying with
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | (20), (106), (107), (108), (764) gives:
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | (765) $false
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (765) is inconsistent.
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.67 | | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.67 | | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | End of split
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | End of split
% 265.31/36.67 | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | (766) hskp26
% 265.31/36.67 | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | PRED_UNIFY: (738), (766) imply:
% 265.31/36.67 | | | | | | | | | | | | | | | | (767) $false
% 265.31/36.67 | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | CLOSE: (767) is inconsistent.
% 265.31/36.67 | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | End of split
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | End of split
% 265.31/36.67 | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | (768) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 265.31/36.67 | | | | | | | | | | | | | | c0_1(a1052)
% 265.31/36.67 | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | ALPHA: (768) implies:
% 265.31/36.67 | | | | | | | | | | | | | | (769) ~ c0_1(a1052)
% 265.31/36.67 | | | | | | | | | | | | | | (770) ~ c2_1(a1052)
% 265.31/36.67 | | | | | | | | | | | | | | (771) c3_1(a1052)
% 265.31/36.67 | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | REF_CLOSE: (7), (22), (23), (28), (46), (107), (504), (505),
% 265.31/36.67 | | | | | | | | | | | | | | (506), (664), (665), (666), (730), (769), (770),
% 265.31/36.67 | | | | | | | | | | | | | | (771) are inconsistent by sub-proof #120.
% 265.31/36.67 | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | End of split
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | End of split
% 265.31/36.67 | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | (772) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~
% 265.31/36.67 | | | | | | | | | | | | c2_1(a1025)
% 265.31/36.67 | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | ALPHA: (772) implies:
% 265.31/36.67 | | | | | | | | | | | | (773) ~ c2_1(a1025)
% 265.31/36.67 | | | | | | | | | | | | (774) ~ c3_1(a1025)
% 265.31/36.67 | | | | | | | | | | | | (775) c0_1(a1025)
% 265.31/36.67 | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | BETA: splitting (78) gives:
% 265.31/36.67 | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | (776) ~ hskp6
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | REF_CLOSE: (8), (20), (22), (29), (50), (106), (107), (108),
% 265.31/36.67 | | | | | | | | | | | | | (109), (504), (505), (506), (727), (728), (729),
% 265.31/36.67 | | | | | | | | | | | | | (731), (776) are inconsistent by sub-proof #92.
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | (777) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.31/36.67 | | | | | | | | | | | | | c2_1(a1006)
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | ALPHA: (777) implies:
% 265.31/36.67 | | | | | | | | | | | | | (778) ~ c2_1(a1006)
% 265.31/36.67 | | | | | | | | | | | | | (779) c0_1(a1006)
% 265.31/36.67 | | | | | | | | | | | | | (780) c3_1(a1006)
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | BETA: splitting (98) gives:
% 265.31/36.67 | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | (781) ~ hskp26
% 265.31/36.67 | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 265.31/36.67 | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | (782) hskp3
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | PRED_UNIFY: (110), (782) imply:
% 265.31/36.67 | | | | | | | | | | | | | | | (783) $false
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | CLOSE: (783) is inconsistent.
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | (784) hskp29 | hskp26
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | BETA: splitting (784) gives:
% 265.31/36.67 | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | (785) hskp29
% 265.31/36.67 | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.31/36.67 | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | (786) ~ hskp29
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | PRED_UNIFY: (785), (786) imply:
% 265.31/36.67 | | | | | | | | | | | | | | | | | (787) $false
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | | CLOSE: (787) is inconsistent.
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.67 | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.67 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | (788) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | ALPHA: (788) implies:
% 265.31/36.68 | | | | | | | | | | | | | | | | | (789) c0_1(a1040)
% 265.31/36.68 | | | | | | | | | | | | | | | | | (790) c3_1(a1040)
% 265.31/36.68 | | | | | | | | | | | | | | | | | (791) c1_1(a1040)
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (792) ~ hskp15
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (21), (22), (46), (63), (96), (107), (504),
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (505), (506), (727), (728), (729), (730), (792)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #83.
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (793) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.31/36.68 | | | | | | | | | | | | | | | | | | c0_1(a1026)
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | ALPHA: (793) implies:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (794) ~ c0_1(a1026)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (795) ~ c1_1(a1026)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (796) c2_1(a1026)
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | (797) ~ hskp4
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (15), (39), (107), (778), (779), (780),
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | (794), (795), (796), (797) are inconsistent by
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | (798) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | c3_1(a1004)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | ALPHA: (798) implies:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | (799) ~ c3_1(a1004)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | (800) c2_1(a1004)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | (801) c1_1(a1004)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | (802) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (22), (26), (31), (32), (107),
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | (466), (467), (468), (504), (505), (506), (727),
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | (728), (729), (789), (790), (791), (799), (800),
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | (801), (802) are inconsistent by sub-proof #71.
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | (803) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | c2_1(v0))
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | BETA: splitting (803) gives:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | (804) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (8), (22), (29), (36), (107), (504), (505),
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | (506), (507), (727), (728), (729), (799), (800),
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | (804) are inconsistent by sub-proof #108.
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | (805) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (805) with a1025, simplifying with
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | (14), (107), (773), (774), (775) gives:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | (806) $false
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | CLOSE: (806) is inconsistent.
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | End of split
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | End of split
% 265.31/36.68 | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | (807) hskp26
% 265.31/36.68 | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | PRED_UNIFY: (781), (807) imply:
% 265.31/36.68 | | | | | | | | | | | | | | | | (808) $false
% 265.31/36.68 | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | CLOSE: (808) is inconsistent.
% 265.31/36.68 | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | End of split
% 265.31/36.68 | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | End of split
% 265.31/36.68 | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | (809) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 265.31/36.68 | | | | | | | | | | | | | | c0_1(a1052)
% 265.31/36.68 | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | ALPHA: (809) implies:
% 265.31/36.68 | | | | | | | | | | | | | | (810) ~ c0_1(a1052)
% 265.31/36.68 | | | | | | | | | | | | | | (811) ~ c2_1(a1052)
% 265.31/36.68 | | | | | | | | | | | | | | (812) c3_1(a1052)
% 265.31/36.68 | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | REF_CLOSE: (7), (22), (23), (28), (46), (107), (504), (505),
% 265.31/36.68 | | | | | | | | | | | | | | (506), (664), (665), (666), (730), (810), (811),
% 265.31/36.68 | | | | | | | | | | | | | | (812) are inconsistent by sub-proof #120.
% 265.31/36.68 | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | End of split
% 265.31/36.68 | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | End of split
% 265.31/36.68 | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | End of split
% 265.31/36.68 | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | (813) c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~
% 265.31/36.68 | | | | | | | | | | | c2_1(a1023)
% 265.31/36.68 | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | ALPHA: (813) implies:
% 265.31/36.68 | | | | | | | | | | | (814) ~ c2_1(a1023)
% 265.31/36.68 | | | | | | | | | | | (815) ~ c1_1(a1023)
% 265.31/36.68 | | | | | | | | | | | (816) c3_1(a1023)
% 265.31/36.68 | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | BETA: splitting (84) gives:
% 265.31/36.68 | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | (817) ~ hskp12
% 265.31/36.68 | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | BETA: splitting (78) gives:
% 265.31/36.68 | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | (818) ~ hskp6
% 265.31/36.68 | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | REF_CLOSE: (22), (48), (107), (504), (505), (506), (817),
% 265.31/36.68 | | | | | | | | | | | | | (818) are inconsistent by sub-proof #115.
% 265.31/36.68 | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | (819) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.31/36.68 | | | | | | | | | | | | | c2_1(a1006)
% 265.31/36.68 | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | ALPHA: (819) implies:
% 265.31/36.68 | | | | | | | | | | | | | (820) ~ c2_1(a1006)
% 265.31/36.68 | | | | | | | | | | | | | (821) c0_1(a1006)
% 265.31/36.68 | | | | | | | | | | | | | (822) c3_1(a1006)
% 265.31/36.68 | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | BETA: splitting (98) gives:
% 265.31/36.68 | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | (823) ~ hskp26
% 265.31/36.68 | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | BETA: splitting (72) gives:
% 265.31/36.68 | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | (824) hskp3
% 265.31/36.68 | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | PRED_UNIFY: (110), (824) imply:
% 265.31/36.68 | | | | | | | | | | | | | | | (825) $false
% 265.31/36.68 | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | CLOSE: (825) is inconsistent.
% 265.31/36.68 | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | (826) hskp29 | hskp26
% 265.31/36.68 | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | BETA: splitting (826) gives:
% 265.31/36.68 | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | (827) hskp29
% 265.31/36.68 | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.31/36.68 | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | (828) ~ hskp29
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | PRED_UNIFY: (827), (828) imply:
% 265.31/36.68 | | | | | | | | | | | | | | | | | (829) $false
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | CLOSE: (829) is inconsistent.
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | (830) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | ALPHA: (830) implies:
% 265.31/36.68 | | | | | | | | | | | | | | | | | (831) c0_1(a1040)
% 265.31/36.68 | | | | | | | | | | | | | | | | | (832) c3_1(a1040)
% 265.31/36.68 | | | | | | | | | | | | | | | | | (833) c1_1(a1040)
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.31/36.68 | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (834) ~ hskp4
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (8), (15), (21), (22), (39), (46), (63),
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (87), (96), (107), (504), (505), (506), (727),
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (728), (729), (730), (820), (821), (822), (834)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #73.
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (835) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.31/36.68 | | | | | | | | | | | | | | | | | | c3_1(a1004)
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | ALPHA: (835) implies:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (836) ~ c3_1(a1004)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (837) c2_1(a1004)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | (838) c1_1(a1004)
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 265.31/36.68 | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | (839) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (26), (31), (107), (466), (467), (468),
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | (831), (832), (833), (836), (837), (838), (839)
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #72.
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | (840) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | c2_1(v0))
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (840) gives:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | (841) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.31/36.68 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (841) with a1048, simplifying with
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | | (22), (107), (504), (505), (506) gives:
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | | (842) $false
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | | CLOSE: (842) is inconsistent.
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | | (843) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c2_1(v0))
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (843) with a1023, simplifying with
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | | (13), (107), (814), (815), (816) gives:
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | | (844) $false
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | | CLOSE: (844) is inconsistent.
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | Case 2:
% 265.31/36.69 | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | (845) hskp26
% 265.31/36.69 | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | PRED_UNIFY: (823), (845) imply:
% 265.31/36.69 | | | | | | | | | | | | | | | | (846) $false
% 265.31/36.69 | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | | CLOSE: (846) is inconsistent.
% 265.31/36.69 | | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | Case 2:
% 265.31/36.69 | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | (847) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 265.31/36.69 | | | | | | | | | | | | | | c0_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | ALPHA: (847) implies:
% 265.31/36.69 | | | | | | | | | | | | | | (848) ~ c0_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | | | (849) ~ c2_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | | | (850) c3_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | | REF_CLOSE: (7), (22), (23), (28), (46), (107), (504), (505),
% 265.31/36.69 | | | | | | | | | | | | | | (506), (664), (665), (666), (730), (848), (849),
% 265.31/36.69 | | | | | | | | | | | | | | (850) are inconsistent by sub-proof #120.
% 265.31/36.69 | | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | Case 2:
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | (851) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.31/36.69 | | | | | | | | | | | | c0_1(a1019)
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | ALPHA: (851) implies:
% 265.31/36.69 | | | | | | | | | | | | (852) c2_1(a1019)
% 265.31/36.69 | | | | | | | | | | | | (853) c1_1(a1019)
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | BETA: splitting (98) gives:
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | Case 1:
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | (854) ~ hskp26
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | REF_CLOSE: (2), (12), (13), (22), (26), (31), (32), (72),
% 265.31/36.69 | | | | | | | | | | | | | (101), (110), (466), (467), (468), (504), (505),
% 265.31/36.69 | | | | | | | | | | | | | (506), (814), (815), (816), (852), (853), (854)
% 265.31/36.69 | | | | | | | | | | | | | are inconsistent by sub-proof #69.
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | Case 2:
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | (855) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 265.31/36.69 | | | | | | | | | | | | | c0_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | ALPHA: (855) implies:
% 265.31/36.69 | | | | | | | | | | | | | (856) ~ c0_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | | (857) ~ c2_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | | (858) c3_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | REF_CLOSE: (7), (22), (23), (28), (46), (107), (504), (505),
% 265.31/36.69 | | | | | | | | | | | | | (506), (664), (665), (666), (730), (856), (857),
% 265.31/36.69 | | | | | | | | | | | | | (858) are inconsistent by sub-proof #120.
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | Case 2:
% 265.31/36.69 | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | (859) c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~
% 265.31/36.69 | | | | | | | | | | c0_1(a1015)
% 265.31/36.69 | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | ALPHA: (859) implies:
% 265.31/36.69 | | | | | | | | | | (860) ~ c0_1(a1015)
% 265.31/36.69 | | | | | | | | | | (861) ~ c1_1(a1015)
% 265.31/36.69 | | | | | | | | | | (862) c3_1(a1015)
% 265.31/36.69 | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | BETA: splitting (85) gives:
% 265.31/36.69 | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | Case 1:
% 265.31/36.69 | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | (863) ~ hskp13
% 265.31/36.69 | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | BETA: splitting (78) gives:
% 265.31/36.69 | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | Case 1:
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | (864) ~ hskp6
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | REF_CLOSE: (8), (20), (22), (29), (50), (106), (107), (108),
% 265.31/36.69 | | | | | | | | | | | | (109), (504), (505), (506), (727), (728), (729),
% 265.31/36.69 | | | | | | | | | | | | (863), (864) are inconsistent by sub-proof #92.
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | Case 2:
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | (865) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.31/36.69 | | | | | | | | | | | | c2_1(a1006)
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | REF_CLOSE: (2), (6), (7), (11), (22), (28), (31), (38),
% 265.31/36.69 | | | | | | | | | | | | (110), (466), (467), (468), (505), (506), (664),
% 265.31/36.69 | | | | | | | | | | | | (665), (666), (860), (861), (862), (865) are
% 265.31/36.69 | | | | | | | | | | | | inconsistent by sub-proof #68.
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | Case 2:
% 265.31/36.69 | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | (866) c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~
% 265.31/36.69 | | | | | | | | | | | c2_1(a1023)
% 265.31/36.69 | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | ALPHA: (866) implies:
% 265.31/36.69 | | | | | | | | | | | (867) ~ c2_1(a1023)
% 265.31/36.69 | | | | | | | | | | | (868) ~ c1_1(a1023)
% 265.31/36.69 | | | | | | | | | | | (869) c3_1(a1023)
% 265.31/36.69 | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | BETA: splitting (84) gives:
% 265.31/36.69 | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | Case 1:
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | (870) ~ hskp12
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | BETA: splitting (78) gives:
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | Case 1:
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | (871) ~ hskp6
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | REF_CLOSE: (22), (48), (107), (504), (505), (506), (870),
% 265.31/36.69 | | | | | | | | | | | | | (871) are inconsistent by sub-proof #115.
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | Case 2:
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | (872) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.31/36.69 | | | | | | | | | | | | | c2_1(a1006)
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | REF_CLOSE: (2), (6), (7), (11), (22), (28), (31), (38),
% 265.31/36.69 | | | | | | | | | | | | | (110), (466), (467), (468), (505), (506), (664),
% 265.31/36.69 | | | | | | | | | | | | | (665), (666), (860), (861), (862), (872) are
% 265.31/36.69 | | | | | | | | | | | | | inconsistent by sub-proof #68.
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | Case 2:
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | (873) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.31/36.69 | | | | | | | | | | | | c0_1(a1019)
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | ALPHA: (873) implies:
% 265.31/36.69 | | | | | | | | | | | | (874) c2_1(a1019)
% 265.31/36.69 | | | | | | | | | | | | (875) c1_1(a1019)
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | BETA: splitting (98) gives:
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | Case 1:
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | (876) ~ hskp26
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | REF_CLOSE: (2), (12), (13), (22), (26), (31), (32), (72),
% 265.31/36.69 | | | | | | | | | | | | | (101), (110), (466), (467), (468), (504), (505),
% 265.31/36.69 | | | | | | | | | | | | | (506), (867), (868), (869), (874), (875), (876)
% 265.31/36.69 | | | | | | | | | | | | | are inconsistent by sub-proof #69.
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | Case 2:
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | (877) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 265.31/36.69 | | | | | | | | | | | | | c0_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | ALPHA: (877) implies:
% 265.31/36.69 | | | | | | | | | | | | | (878) ~ c0_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | | (879) ~ c2_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | | (880) c3_1(a1052)
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | | REF_CLOSE: (7), (11), (23), (28), (107), (664), (665), (666),
% 265.31/36.69 | | | | | | | | | | | | | (860), (861), (862), (878), (879), (880) are
% 265.31/36.69 | | | | | | | | | | | | | inconsistent by sub-proof #125.
% 265.31/36.69 | | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | | |
% 265.31/36.69 | | | | | | | | | End of split
% 265.31/36.69 | | | | | | | | |
% 265.31/36.69 | | | | | | | | End of split
% 265.31/36.69 | | | | | | | |
% 265.31/36.69 | | | | | | | End of split
% 265.31/36.69 | | | | | | |
% 265.31/36.69 | | | | | | Case 2:
% 265.31/36.69 | | | | | | |
% 265.31/36.69 | | | | | | | (881) c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~ c1_1(a1002)
% 265.31/36.69 | | | | | | |
% 265.31/36.69 | | | | | | | ALPHA: (881) implies:
% 265.31/36.69 | | | | | | | (882) ~ c1_1(a1002)
% 265.31/36.69 | | | | | | | (883) c0_1(a1002)
% 265.31/36.69 | | | | | | | (884) c2_1(a1002)
% 265.31/36.69 | | | | | | |
% 265.31/36.69 | | | | | | | REF_CLOSE: (3), (5), (6), (7), (8), (9), (11), (12), (14), (18),
% 265.31/36.69 | | | | | | | (20), (21), (22), (23), (24), (27), (28), (29), (34),
% 265.31/36.69 | | | | | | | (42), (44), (46), (47), (48), (49), (56), (62), (65),
% 265.31/36.69 | | | | | | | (67), (77), (78), (79), (80), (81), (83), (84), (86),
% 265.31/36.69 | | | | | | | (88), (93), (96), (98), (99), (106), (107), (108),
% 265.31/36.69 | | | | | | | (109), (110), (504), (505), (506), (882), (883), (884)
% 265.31/36.69 | | | | | | | are inconsistent by sub-proof #101.
% 265.31/36.69 | | | | | | |
% 265.31/36.69 | | | | | | End of split
% 265.31/36.69 | | | | | |
% 265.31/36.69 | | | | | End of split
% 265.31/36.69 | | | | |
% 265.31/36.69 | | | | End of split
% 265.31/36.69 | | | |
% 265.31/36.69 | | | Case 2:
% 265.31/36.69 | | | |
% 265.31/36.70 | | | | (885) c1_1(a1003) & ndr1_0 & ~ c2_1(a1003) & ~ c0_1(a1003)
% 265.31/36.70 | | | |
% 265.31/36.70 | | | | ALPHA: (885) implies:
% 265.31/36.70 | | | | (886) ~ c0_1(a1003)
% 265.31/36.70 | | | | (887) ~ c2_1(a1003)
% 265.31/36.70 | | | | (888) c1_1(a1003)
% 265.31/36.70 | | | |
% 265.31/36.70 | | | | BETA: splitting (74) gives:
% 265.31/36.70 | | | |
% 265.31/36.70 | | | | Case 1:
% 265.31/36.70 | | | | |
% 265.31/36.70 | | | | | (889) ~ hskp1
% 265.31/36.70 | | | | |
% 265.31/36.70 | | | | | BETA: splitting (75) gives:
% 265.31/36.70 | | | | |
% 265.31/36.70 | | | | | Case 1:
% 265.31/36.70 | | | | | |
% 265.31/36.70 | | | | | | (890) ~ hskp2
% 265.31/36.70 | | | | | |
% 265.31/36.70 | | | | | | BETA: splitting (37) gives:
% 265.31/36.70 | | | | | |
% 265.31/36.70 | | | | | | Case 1:
% 265.31/36.70 | | | | | | |
% 265.31/36.70 | | | | | | | (891) hskp2
% 265.31/36.70 | | | | | | |
% 265.31/36.70 | | | | | | | PRED_UNIFY: (890), (891) imply:
% 265.31/36.70 | | | | | | | (892) $false
% 265.31/36.70 | | | | | | |
% 265.31/36.70 | | | | | | | CLOSE: (892) is inconsistent.
% 265.31/36.70 | | | | | | |
% 265.31/36.70 | | | | | | Case 2:
% 265.31/36.70 | | | | | | |
% 265.31/36.70 | | | | | | | (893) hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.31/36.70 | | | | | | | ndr1_0 | c3_1(v0) | c0_1(v0))
% 265.31/36.70 | | | | | | |
% 265.31/36.70 | | | | | | | BETA: splitting (893) gives:
% 265.31/36.70 | | | | | | |
% 265.31/36.70 | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | |
% 265.31/36.70 | | | | | | | | (894) hskp1
% 265.31/36.70 | | | | | | | |
% 265.31/36.70 | | | | | | | | PRED_UNIFY: (889), (894) imply:
% 265.31/36.70 | | | | | | | | (895) $false
% 265.31/36.70 | | | | | | | |
% 265.31/36.70 | | | | | | | | CLOSE: (895) is inconsistent.
% 265.31/36.70 | | | | | | | |
% 265.31/36.70 | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | |
% 265.31/36.70 | | | | | | | | (896) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 265.31/36.70 | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.31/36.70 | | | | | | | |
% 265.31/36.70 | | | | | | | | BETA: splitting (80) gives:
% 265.31/36.70 | | | | | | | |
% 265.31/36.70 | | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | | |
% 265.31/36.70 | | | | | | | | | (897) ~ hskp8
% 265.31/36.70 | | | | | | | | |
% 265.31/36.70 | | | | | | | | | BETA: splitting (79) gives:
% 265.31/36.70 | | | | | | | | |
% 265.31/36.70 | | | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | (898) ~ hskp7
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | REF_CLOSE: (4), (44), (107), (886), (887), (888), (897),
% 265.31/36.70 | | | | | | | | | | (898) are inconsistent by sub-proof #67.
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | (899) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~
% 265.31/36.70 | | | | | | | | | | c3_1(a1008)
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | ALPHA: (899) implies:
% 265.31/36.70 | | | | | | | | | | (900) ~ c3_1(a1008)
% 265.31/36.70 | | | | | | | | | | (901) ~ c1_1(a1008)
% 265.31/36.70 | | | | | | | | | | (902) c2_1(a1008)
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | REF_CLOSE: (4), (7), (43), (107), (886), (887), (888), (897),
% 265.31/36.70 | | | | | | | | | | (900), (901), (902) are inconsistent by sub-proof
% 265.31/36.70 | | | | | | | | | | #66.
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | End of split
% 265.31/36.70 | | | | | | | | |
% 265.31/36.70 | | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | | |
% 265.31/36.70 | | | | | | | | | (903) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 265.31/36.70 | | | | | | | | |
% 265.31/36.70 | | | | | | | | | ALPHA: (903) implies:
% 265.31/36.70 | | | | | | | | | (904) ~ c1_1(a1010)
% 265.31/36.70 | | | | | | | | | (905) c0_1(a1010)
% 265.31/36.70 | | | | | | | | | (906) c3_1(a1010)
% 265.31/36.70 | | | | | | | | |
% 265.31/36.70 | | | | | | | | | BETA: splitting (81) gives:
% 265.31/36.70 | | | | | | | | |
% 265.31/36.70 | | | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | (907) ~ hskp9
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | BETA: splitting (79) gives:
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | (908) ~ hskp7
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | REF_CLOSE: (5), (12), (18), (34), (42), (47), (56), (77),
% 265.31/36.70 | | | | | | | | | | | (84), (88), (93), (889), (893), (896), (908) are
% 265.31/36.70 | | | | | | | | | | | inconsistent by sub-proof #64.
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | (909) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~
% 265.31/36.70 | | | | | | | | | | | c3_1(a1008)
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | ALPHA: (909) implies:
% 265.31/36.70 | | | | | | | | | | | (910) ~ c3_1(a1008)
% 265.31/36.70 | | | | | | | | | | | (911) ~ c1_1(a1008)
% 265.31/36.70 | | | | | | | | | | | (912) c2_1(a1008)
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | GROUND_INST: instantiating (896) with a1008, simplifying with
% 265.31/36.70 | | | | | | | | | | | (7), (107), (910), (912) gives:
% 265.31/36.70 | | | | | | | | | | | (913) c0_1(a1008)
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | BETA: splitting (84) gives:
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | (914) ~ hskp12
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | BETA: splitting (49) gives:
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | (915) hskp12
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | PRED_UNIFY: (914), (915) imply:
% 265.31/36.70 | | | | | | | | | | | | | (916) $false
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | CLOSE: (916) is inconsistent.
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | (917) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.31/36.70 | | | | | | | | | | | | | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (15), (16), (20), (21), (28), (29),
% 265.31/36.70 | | | | | | | | | | | | | (30), (34), (51), (53), (63), (87), (89), (96),
% 265.31/36.70 | | | | | | | | | | | | | (106), (107), (108), (109), (886), (887), (888),
% 265.31/36.70 | | | | | | | | | | | | | (896), (904), (905), (906), (907), (910), (911),
% 265.31/36.70 | | | | | | | | | | | | | (912), (913), (917) are inconsistent by sub-proof
% 265.31/36.70 | | | | | | | | | | | | | #56.
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | End of split
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | (918) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.31/36.70 | | | | | | | | | | | | c0_1(a1019)
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | ALPHA: (918) implies:
% 265.31/36.70 | | | | | | | | | | | | (919) ~ c0_1(a1019)
% 265.31/36.70 | | | | | | | | | | | | (920) c2_1(a1019)
% 265.31/36.70 | | | | | | | | | | | | (921) c1_1(a1019)
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | REF_CLOSE: (12), (34), (88), (107), (889), (893), (919),
% 265.31/36.70 | | | | | | | | | | | | (920), (921) are inconsistent by sub-proof #139.
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | End of split
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | End of split
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | (922) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | ALPHA: (922) implies:
% 265.31/36.70 | | | | | | | | | | (923) ~ c2_1(a1011)
% 265.31/36.70 | | | | | | | | | | (924) c0_1(a1011)
% 265.31/36.70 | | | | | | | | | | (925) c1_1(a1011)
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | BETA: splitting (79) gives:
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | (926) ~ hskp7
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | REF_CLOSE: (5), (12), (18), (34), (42), (47), (56), (77),
% 265.31/36.70 | | | | | | | | | | | (84), (88), (93), (889), (893), (896), (926) are
% 265.31/36.70 | | | | | | | | | | | inconsistent by sub-proof #64.
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | (927) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~
% 265.31/36.70 | | | | | | | | | | | c3_1(a1008)
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | ALPHA: (927) implies:
% 265.31/36.70 | | | | | | | | | | | (928) ~ c3_1(a1008)
% 265.31/36.70 | | | | | | | | | | | (929) ~ c1_1(a1008)
% 265.31/36.70 | | | | | | | | | | | (930) c2_1(a1008)
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | GROUND_INST: instantiating (896) with a1008, simplifying with
% 265.31/36.70 | | | | | | | | | | | (7), (107), (928), (930) gives:
% 265.31/36.70 | | | | | | | | | | | (931) c0_1(a1008)
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | BETA: splitting (89) gives:
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | (932) ~ hskp17
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | (933) ~ hskp15
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | REF_CLOSE: (7), (20), (51), (53), (106), (107), (108), (109),
% 265.31/36.70 | | | | | | | | | | | | | (928), (930), (931), (932), (933) are inconsistent
% 265.31/36.70 | | | | | | | | | | | | | by sub-proof #62.
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | (934) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.31/36.70 | | | | | | | | | | | | | c0_1(a1026)
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | REF_CLOSE: (7), (9), (15), (30), (889), (893), (923), (924),
% 265.31/36.70 | | | | | | | | | | | | | (925), (928), (929), (930), (934) are inconsistent
% 265.31/36.70 | | | | | | | | | | | | | by sub-proof #54.
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | End of split
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | (935) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 265.31/36.70 | | | | | | | | | | | | c0_1(a1032)
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | ALPHA: (935) implies:
% 265.31/36.70 | | | | | | | | | | | | (936) ~ c0_1(a1032)
% 265.31/36.70 | | | | | | | | | | | | (937) c2_1(a1032)
% 265.31/36.70 | | | | | | | | | | | | (938) c3_1(a1032)
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | BETA: splitting (96) gives:
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | (939) ~ hskp24
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | Case 1:
% 265.31/36.70 | | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | | (940) ~ hskp15
% 265.31/36.70 | | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | | REF_CLOSE: (8), (63), (107), (904), (905), (906), (939),
% 265.31/36.70 | | | | | | | | | | | | | | (940) are inconsistent by sub-proof #84.
% 265.31/36.70 | | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | | (941) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.31/36.70 | | | | | | | | | | | | | | c0_1(a1026)
% 265.31/36.70 | | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (15), (30), (889), (893), (923), (924),
% 265.31/36.70 | | | | | | | | | | | | | | (925), (928), (929), (930), (941) are inconsistent
% 265.31/36.70 | | | | | | | | | | | | | | by sub-proof #54.
% 265.31/36.70 | | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | End of split
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | Case 2:
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | (942) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~
% 265.31/36.70 | | | | | | | | | | | | | c0_1(a1045)
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | ALPHA: (942) implies:
% 265.31/36.70 | | | | | | | | | | | | | (943) ~ c0_1(a1045)
% 265.31/36.70 | | | | | | | | | | | | | (944) c3_1(a1045)
% 265.31/36.70 | | | | | | | | | | | | | (945) c1_1(a1045)
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (16), (21), (28), (29), (34),
% 265.31/36.70 | | | | | | | | | | | | | (107), (886), (887), (888), (904), (905), (906),
% 265.31/36.70 | | | | | | | | | | | | | (928), (929), (930), (931), (936), (937), (938),
% 265.31/36.70 | | | | | | | | | | | | | (943), (944), (945) are inconsistent by sub-proof
% 265.31/36.70 | | | | | | | | | | | | | #57.
% 265.31/36.70 | | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | | End of split
% 265.31/36.70 | | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | | End of split
% 265.31/36.70 | | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | | End of split
% 265.31/36.70 | | | | | | | | | |
% 265.31/36.70 | | | | | | | | | End of split
% 265.31/36.70 | | | | | | | | |
% 265.31/36.70 | | | | | | | | End of split
% 265.31/36.70 | | | | | | | |
% 265.31/36.70 | | | | | | | End of split
% 265.31/36.71 | | | | | | |
% 265.31/36.71 | | | | | | End of split
% 265.31/36.71 | | | | | |
% 265.31/36.71 | | | | | Case 2:
% 265.31/36.71 | | | | | |
% 265.31/36.71 | | | | | | (946) c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~ c1_1(a1002)
% 265.31/36.71 | | | | | |
% 265.31/36.71 | | | | | | ALPHA: (946) implies:
% 265.31/36.71 | | | | | | (947) ~ c1_1(a1002)
% 265.31/36.71 | | | | | | (948) c0_1(a1002)
% 265.31/36.71 | | | | | | (949) c2_1(a1002)
% 265.31/36.71 | | | | | |
% 265.31/36.71 | | | | | | BETA: splitting (79) gives:
% 265.31/36.71 | | | | | |
% 265.31/36.71 | | | | | | Case 1:
% 265.31/36.71 | | | | | | |
% 265.31/36.71 | | | | | | | (950) ~ hskp7
% 265.31/36.71 | | | | | | |
% 265.31/36.71 | | | | | | | BETA: splitting (42) gives:
% 265.31/36.71 | | | | | | |
% 265.31/36.71 | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | (951) hskp7
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | PRED_UNIFY: (950), (951) imply:
% 265.31/36.71 | | | | | | | | (952) $false
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | CLOSE: (952) is inconsistent.
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | (953) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 265.31/36.71 | | | | | | | | ~ c0_1(v0) | ~ ndr1_0)
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | BETA: splitting (80) gives:
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | |
% 265.31/36.71 | | | | | | | | | (954) ~ hskp8
% 265.31/36.71 | | | | | | | | |
% 265.31/36.71 | | | | | | | | | REF_CLOSE: (4), (44), (107), (886), (887), (888), (950), (954)
% 265.31/36.71 | | | | | | | | | are inconsistent by sub-proof #67.
% 265.31/36.71 | | | | | | | | |
% 265.31/36.71 | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | |
% 265.31/36.71 | | | | | | | | | (955) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 265.31/36.71 | | | | | | | | |
% 265.31/36.71 | | | | | | | | | ALPHA: (955) implies:
% 265.31/36.71 | | | | | | | | | (956) ~ c1_1(a1010)
% 265.31/36.71 | | | | | | | | | (957) c0_1(a1010)
% 265.31/36.71 | | | | | | | | | (958) c3_1(a1010)
% 265.31/36.71 | | | | | | | | |
% 265.31/36.71 | | | | | | | | | BETA: splitting (84) gives:
% 265.31/36.71 | | | | | | | | |
% 265.31/36.71 | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | (959) ~ hskp12
% 265.31/36.71 | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | BETA: splitting (93) gives:
% 265.31/36.71 | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | (960) ~ hskp21
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | BETA: splitting (56) gives:
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | (961) hskp7
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | PRED_UNIFY: (950), (961) imply:
% 265.31/36.71 | | | | | | | | | | | | (962) $false
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | CLOSE: (962) is inconsistent.
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | (963) hskp21 | hskp4
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | BETA: splitting (963) gives:
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | (964) hskp4
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | (965) ~ hskp4
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | PRED_UNIFY: (964), (965) imply:
% 265.31/36.71 | | | | | | | | | | | | | | (966) $false
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | CLOSE: (966) is inconsistent.
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | (967) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.31/36.71 | | | | | | | | | | | | | | c3_1(a1004)
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | ALPHA: (967) implies:
% 265.31/36.71 | | | | | | | | | | | | | | (968) ~ c3_1(a1004)
% 265.31/36.71 | | | | | | | | | | | | | | (969) c2_1(a1004)
% 265.31/36.71 | | | | | | | | | | | | | | (970) c1_1(a1004)
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | (971) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.31/36.71 | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.31/36.71 | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | GROUND_INST: instantiating (971) with a1002, simplifying with
% 265.31/36.71 | | | | | | | | | | | | | | | (3), (107), (947), (948), (949) gives:
% 265.31/36.71 | | | | | | | | | | | | | | | (972) $false
% 265.31/36.71 | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | CLOSE: (972) is inconsistent.
% 265.31/36.71 | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | (973) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.71 | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.31/36.71 | | | | | | | | | | | | | | | $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 265.31/36.71 | | | | | | | | | | | | | | | c2_1(v0))
% 265.31/36.71 | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | BETA: splitting (973) gives:
% 265.31/36.71 | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | | (974) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.71 | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.31/36.71 | | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (47), (107), (953), (959), (968), (969),
% 265.31/36.71 | | | | | | | | | | | | | | | | (970), (974) are inconsistent by sub-proof #65.
% 265.31/36.71 | | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | | (975) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.31/36.71 | | | | | | | | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 265.31/36.71 | | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (975) with a1044, simplifying with
% 265.31/36.71 | | | | | | | | | | | | | | | | (20), (106), (107), (108) gives:
% 265.31/36.71 | | | | | | | | | | | | | | | | (976) c2_1(a1044)
% 265.31/36.71 | | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | | REF_CLOSE: (20), (42), (107), (108), (109), (950), (976) are
% 265.31/36.71 | | | | | | | | | | | | | | | | inconsistent by sub-proof #156.
% 265.31/36.71 | | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | | End of split
% 265.31/36.71 | | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | End of split
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | End of split
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | (977) hskp21
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | PRED_UNIFY: (960), (977) imply:
% 265.31/36.71 | | | | | | | | | | | | | (978) $false
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | CLOSE: (978) is inconsistent.
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | End of split
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | End of split
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | (979) hskp21
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | BETA: splitting (93) gives:
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | (980) ~ hskp21
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | PRED_UNIFY: (979), (980) imply:
% 265.31/36.71 | | | | | | | | | | | | (981) $false
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | CLOSE: (981) is inconsistent.
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | (982) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~
% 265.31/36.71 | | | | | | | | | | | | c0_1(a1041)
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | ALPHA: (982) implies:
% 265.31/36.71 | | | | | | | | | | | | (983) ~ c0_1(a1041)
% 265.31/36.71 | | | | | | | | | | | | (984) ~ c3_1(a1041)
% 265.31/36.71 | | | | | | | | | | | | (985) c2_1(a1041)
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | BETA: splitting (27) gives:
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | (986) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.31/36.71 | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | GROUND_INST: instantiating (986) with a1002, simplifying with
% 265.31/36.71 | | | | | | | | | | | | | (3), (107), (947), (948), (949) gives:
% 265.31/36.71 | | | | | | | | | | | | | (987) $false
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | CLOSE: (987) is inconsistent.
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | (988) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.71 | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.31/36.71 | | | | | | | | | | | | | $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 265.31/36.71 | | | | | | | | | | | | | c2_1(v0))
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | BETA: splitting (988) gives:
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | (989) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.71 | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | GROUND_INST: instantiating (989) with a1041, simplifying with
% 265.31/36.71 | | | | | | | | | | | | | | (18), (107), (983), (984), (985) gives:
% 265.31/36.71 | | | | | | | | | | | | | | (990) $false
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | CLOSE: (990) is inconsistent.
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | (991) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.31/36.71 | | | | | | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | GROUND_INST: instantiating (991) with a1044, simplifying with
% 265.31/36.71 | | | | | | | | | | | | | | (20), (106), (107), (108) gives:
% 265.31/36.71 | | | | | | | | | | | | | | (992) c2_1(a1044)
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | GROUND_INST: instantiating (953) with a1044, simplifying with
% 265.31/36.71 | | | | | | | | | | | | | | (20), (107), (108), (109), (992) gives:
% 265.31/36.71 | | | | | | | | | | | | | | (993) $false
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | | CLOSE: (993) is inconsistent.
% 265.31/36.71 | | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | | End of split
% 265.31/36.71 | | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | | End of split
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | End of split
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | End of split
% 265.31/36.71 | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | (994) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019)
% 265.31/36.71 | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | ALPHA: (994) implies:
% 265.31/36.71 | | | | | | | | | | (995) ~ c0_1(a1019)
% 265.31/36.71 | | | | | | | | | | (996) c2_1(a1019)
% 265.31/36.71 | | | | | | | | | | (997) c1_1(a1019)
% 265.31/36.71 | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | REF_CLOSE: (1), (4), (8), (12), (29), (34), (35), (73),
% 265.31/36.71 | | | | | | | | | | (107), (886), (887), (888), (956), (957), (958),
% 265.31/36.71 | | | | | | | | | | (995), (996), (997) are inconsistent by sub-proof
% 265.31/36.71 | | | | | | | | | | #53.
% 265.31/36.71 | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | End of split
% 265.31/36.71 | | | | | | | | |
% 265.31/36.71 | | | | | | | | End of split
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | End of split
% 265.31/36.71 | | | | | | |
% 265.31/36.71 | | | | | | Case 2:
% 265.31/36.71 | | | | | | |
% 265.31/36.71 | | | | | | | (998) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~ c3_1(a1008)
% 265.31/36.71 | | | | | | |
% 265.31/36.71 | | | | | | | ALPHA: (998) implies:
% 265.31/36.71 | | | | | | | (999) ~ c3_1(a1008)
% 265.31/36.71 | | | | | | | (1000) ~ c1_1(a1008)
% 265.31/36.71 | | | | | | | (1001) c2_1(a1008)
% 265.31/36.71 | | | | | | |
% 265.31/36.71 | | | | | | | BETA: splitting (80) gives:
% 265.31/36.71 | | | | | | |
% 265.31/36.71 | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | (1002) ~ hskp8
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | REF_CLOSE: (4), (7), (43), (107), (886), (887), (888), (999),
% 265.31/36.71 | | | | | | | | (1000), (1001), (1002) are inconsistent by sub-proof
% 265.31/36.71 | | | | | | | | #66.
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | (1003) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | ALPHA: (1003) implies:
% 265.31/36.71 | | | | | | | | (1004) ~ c1_1(a1010)
% 265.31/36.71 | | | | | | | | (1005) c0_1(a1010)
% 265.31/36.71 | | | | | | | | (1006) c3_1(a1010)
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | BETA: splitting (81) gives:
% 265.31/36.71 | | | | | | | |
% 265.31/36.71 | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | |
% 265.31/36.71 | | | | | | | | | (1007) ~ hskp9
% 265.31/36.71 | | | | | | | | |
% 265.31/36.71 | | | | | | | | | BETA: splitting (84) gives:
% 265.31/36.71 | | | | | | | | |
% 265.31/36.71 | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | (1008) ~ hskp12
% 265.31/36.71 | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | BETA: splitting (49) gives:
% 265.31/36.71 | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | (1009) hskp12
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | PRED_UNIFY: (1008), (1009) imply:
% 265.31/36.71 | | | | | | | | | | | (1010) $false
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | CLOSE: (1010) is inconsistent.
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | Case 2:
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | (1011) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.31/36.71 | | | | | | | | | | | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | BETA: splitting (27) gives:
% 265.31/36.71 | | | | | | | | | | |
% 265.31/36.71 | | | | | | | | | | | Case 1:
% 265.31/36.71 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | (1012) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.31/36.72 | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | GROUND_INST: instantiating (1012) with a1002, simplifying with
% 265.31/36.72 | | | | | | | | | | | | (3), (107), (947), (948), (949) gives:
% 265.31/36.72 | | | | | | | | | | | | (1013) $false
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | CLOSE: (1013) is inconsistent.
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | (1014) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.72 | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.31/36.72 | | | | | | | | | | | | $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 265.31/36.72 | | | | | | | | | | | | c2_1(v0))
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | BETA: splitting (1014) gives:
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | (1015) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.72 | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | GROUND_INST: instantiating (1015) with a1008, simplifying with
% 265.31/36.72 | | | | | | | | | | | | | (7), (107), (999), (1001) gives:
% 265.31/36.72 | | | | | | | | | | | | | (1016) c0_1(a1008)
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (15), (16), (20), (21), (28), (29),
% 265.31/36.72 | | | | | | | | | | | | | (30), (34), (51), (53), (63), (87), (89), (96),
% 265.31/36.72 | | | | | | | | | | | | | (106), (107), (108), (109), (886), (887), (888),
% 265.31/36.72 | | | | | | | | | | | | | (999), (1000), (1001), (1004), (1005), (1006),
% 265.31/36.72 | | | | | | | | | | | | | (1007), (1011), (1015), (1016) are inconsistent by
% 265.31/36.72 | | | | | | | | | | | | | sub-proof #56.
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | (1017) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.31/36.72 | | | | | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | GROUND_INST: instantiating (1017) with a1044, simplifying with
% 265.31/36.72 | | | | | | | | | | | | | (20), (106), (107), (108) gives:
% 265.31/36.72 | | | | | | | | | | | | | (1018) c2_1(a1044)
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | REF_CLOSE: (3), (6), (7), (8), (9), (12), (14), (16), (20),
% 265.31/36.72 | | | | | | | | | | | | | (24), (29), (30), (31), (33), (34), (37), (49),
% 265.31/36.72 | | | | | | | | | | | | | (53), (58), (67), (75), (78), (81), (84), (86),
% 265.31/36.72 | | | | | | | | | | | | | (89), (99), (106), (107), (108), (109), (889),
% 265.31/36.72 | | | | | | | | | | | | | (999), (1000), (1001), (1004), (1005), (1006),
% 265.31/36.72 | | | | | | | | | | | | | (1017), (1018) are inconsistent by sub-proof #122.
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | End of split
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | End of split
% 265.31/36.72 | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | End of split
% 265.31/36.72 | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | (1019) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.31/36.72 | | | | | | | | | | c0_1(a1019)
% 265.31/36.72 | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | ALPHA: (1019) implies:
% 265.31/36.72 | | | | | | | | | | (1020) ~ c0_1(a1019)
% 265.31/36.72 | | | | | | | | | | (1021) c2_1(a1019)
% 265.31/36.72 | | | | | | | | | | (1022) c1_1(a1019)
% 265.31/36.72 | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | REF_CLOSE: (1), (4), (8), (12), (29), (34), (35), (73),
% 265.31/36.72 | | | | | | | | | | (107), (886), (887), (888), (1004), (1005),
% 265.31/36.72 | | | | | | | | | | (1006), (1020), (1021), (1022) are inconsistent by
% 265.31/36.72 | | | | | | | | | | sub-proof #53.
% 265.31/36.72 | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | End of split
% 265.31/36.72 | | | | | | | | |
% 265.31/36.72 | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | |
% 265.31/36.72 | | | | | | | | | (1023) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 265.31/36.72 | | | | | | | | |
% 265.31/36.72 | | | | | | | | | ALPHA: (1023) implies:
% 265.31/36.72 | | | | | | | | | (1024) ~ c2_1(a1011)
% 265.31/36.72 | | | | | | | | | (1025) c0_1(a1011)
% 265.31/36.72 | | | | | | | | | (1026) c1_1(a1011)
% 265.31/36.72 | | | | | | | | |
% 265.31/36.72 | | | | | | | | | BETA: splitting (84) gives:
% 265.31/36.72 | | | | | | | | |
% 265.31/36.72 | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | (1027) ~ hskp12
% 265.31/36.72 | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | BETA: splitting (78) gives:
% 265.31/36.72 | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | (1028) ~ hskp6
% 265.31/36.72 | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | BETA: splitting (48) gives:
% 265.31/36.72 | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | (1029) hskp6
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | PRED_UNIFY: (1028), (1029) imply:
% 265.31/36.72 | | | | | | | | | | | | (1030) $false
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | CLOSE: (1030) is inconsistent.
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | (1031) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.31/36.72 | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | BETA: splitting (1031) gives:
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | (1032) hskp12
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | PRED_UNIFY: (1027), (1032) imply:
% 265.31/36.72 | | | | | | | | | | | | | (1033) $false
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | CLOSE: (1033) is inconsistent.
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | (1034) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.31/36.72 | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | GROUND_INST: instantiating (1034) with a1003, simplifying with
% 265.31/36.72 | | | | | | | | | | | | | (4), (107), (886), (888) gives:
% 265.31/36.72 | | | | | | | | | | | | | (1035) c3_1(a1003)
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | BETA: splitting (89) gives:
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | (1036) ~ hskp17
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | REF_CLOSE: (3), (7), (9), (15), (20), (27), (30), (51), (53),
% 265.31/36.72 | | | | | | | | | | | | | | (87), (106), (107), (108), (109), (947), (948),
% 265.31/36.72 | | | | | | | | | | | | | | (949), (999), (1000), (1001), (1024), (1025),
% 265.31/36.72 | | | | | | | | | | | | | | (1026), (1036) are inconsistent by sub-proof #51.
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | (1037) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 265.31/36.72 | | | | | | | | | | | | | | c0_1(a1032)
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | ALPHA: (1037) implies:
% 265.31/36.72 | | | | | | | | | | | | | | (1038) ~ c0_1(a1032)
% 265.31/36.72 | | | | | | | | | | | | | | (1039) c2_1(a1032)
% 265.31/36.72 | | | | | | | | | | | | | | (1040) c3_1(a1032)
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | | (1041) ~ hskp24
% 265.31/36.72 | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.31/36.72 | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | | | (1042) ~ hskp15
% 265.31/36.72 | | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | | | REF_CLOSE: (8), (63), (107), (1004), (1005), (1006), (1041),
% 265.31/36.72 | | | | | | | | | | | | | | | | (1042) are inconsistent by sub-proof #84.
% 265.31/36.72 | | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | | | (1043) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.31/36.72 | | | | | | | | | | | | | | | | c0_1(a1026)
% 265.31/36.72 | | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | | | REF_CLOSE: (3), (9), (15), (30), (947), (948), (949), (1024),
% 265.31/36.72 | | | | | | | | | | | | | | | | (1025), (1026), (1043) are inconsistent by
% 265.31/36.72 | | | | | | | | | | | | | | | | sub-proof #52.
% 265.31/36.72 | | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | | End of split
% 265.31/36.72 | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | | (1044) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~
% 265.31/36.72 | | | | | | | | | | | | | | | c0_1(a1045)
% 265.31/36.72 | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (16), (21), (28), (34), (886), (887),
% 265.31/36.72 | | | | | | | | | | | | | | | (999), (1000), (1001), (1035), (1038), (1039),
% 265.31/36.72 | | | | | | | | | | | | | | | (1040), (1044) are inconsistent by sub-proof #50.
% 265.31/36.72 | | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | End of split
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | End of split
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | End of split
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | End of split
% 265.31/36.72 | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | (1045) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.31/36.72 | | | | | | | | | | | c2_1(a1006)
% 265.31/36.72 | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | ALPHA: (1045) implies:
% 265.31/36.72 | | | | | | | | | | | (1046) ~ c2_1(a1006)
% 265.31/36.72 | | | | | | | | | | | (1047) c0_1(a1006)
% 265.31/36.72 | | | | | | | | | | | (1048) c3_1(a1006)
% 265.31/36.72 | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | BETA: splitting (89) gives:
% 265.31/36.72 | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | (1049) ~ hskp17
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | REF_CLOSE: (3), (7), (9), (15), (20), (27), (30), (51), (53),
% 265.31/36.72 | | | | | | | | | | | | (87), (106), (107), (108), (109), (947), (948),
% 265.31/36.72 | | | | | | | | | | | | (949), (999), (1000), (1001), (1024), (1025),
% 265.31/36.72 | | | | | | | | | | | | (1026), (1049) are inconsistent by sub-proof #51.
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | (1050) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 265.31/36.72 | | | | | | | | | | | | c0_1(a1032)
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | ALPHA: (1050) implies:
% 265.31/36.72 | | | | | | | | | | | | (1051) ~ c0_1(a1032)
% 265.31/36.72 | | | | | | | | | | | | (1052) c2_1(a1032)
% 265.31/36.72 | | | | | | | | | | | | (1053) c3_1(a1032)
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.31/36.72 | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | (1054) ~ hskp15
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | BETA: splitting (96) gives:
% 265.31/36.72 | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | (1055) ~ hskp24
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | REF_CLOSE: (8), (63), (107), (1004), (1005), (1006), (1054),
% 265.31/36.72 | | | | | | | | | | | | | | (1055) are inconsistent by sub-proof #84.
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | Case 2:
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | (1056) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~
% 265.31/36.72 | | | | | | | | | | | | | | c0_1(a1045)
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | ALPHA: (1056) implies:
% 265.31/36.72 | | | | | | | | | | | | | | (1057) ~ c0_1(a1045)
% 265.31/36.72 | | | | | | | | | | | | | | (1058) c3_1(a1045)
% 265.31/36.72 | | | | | | | | | | | | | | (1059) c1_1(a1045)
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 265.31/36.72 | | | | | | | | | | | | | |
% 265.31/36.72 | | | | | | | | | | | | | | Case 1:
% 265.31/36.72 | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | (1060) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.31/36.73 | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.31/36.73 | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | GROUND_INST: instantiating (1060) with a1002, simplifying with
% 265.31/36.73 | | | | | | | | | | | | | | | (3), (107), (947), (948), (949) gives:
% 265.31/36.73 | | | | | | | | | | | | | | | (1061) $false
% 265.31/36.73 | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | CLOSE: (1061) is inconsistent.
% 265.31/36.73 | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | Case 2:
% 265.31/36.73 | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | (1062) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.73 | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.31/36.73 | | | | | | | | | | | | | | | $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 265.31/36.73 | | | | | | | | | | | | | | | c2_1(v0))
% 265.31/36.73 | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | BETA: splitting (1062) gives:
% 265.31/36.73 | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | Case 1:
% 265.31/36.73 | | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | | (1063) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.31/36.73 | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.31/36.73 | | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1063) with a1008, simplifying with
% 265.31/36.73 | | | | | | | | | | | | | | | | (7), (107), (999), (1001) gives:
% 265.31/36.73 | | | | | | | | | | | | | | | | (1064) c0_1(a1008)
% 265.31/36.73 | | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (16), (21), (28), (29), (34),
% 265.31/36.73 | | | | | | | | | | | | | | | | (107), (886), (887), (888), (999), (1000), (1001),
% 265.31/36.73 | | | | | | | | | | | | | | | | (1004), (1005), (1006), (1051), (1052), (1053),
% 265.31/36.73 | | | | | | | | | | | | | | | | (1057), (1058), (1059), (1064) are inconsistent by
% 265.31/36.73 | | | | | | | | | | | | | | | | sub-proof #57.
% 265.31/36.73 | | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | Case 2:
% 265.31/36.73 | | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | | (1065) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.31/36.73 | | | | | | | | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 265.31/36.73 | | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1065) with a1044, simplifying with
% 265.31/36.73 | | | | | | | | | | | | | | | | (20), (106), (107), (108) gives:
% 265.31/36.73 | | | | | | | | | | | | | | | | (1066) c2_1(a1044)
% 265.31/36.73 | | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (16), (20), (31), (34), (106), (107), (109),
% 265.31/36.73 | | | | | | | | | | | | | | | | (1046), (1047), (1048), (1051), (1052), (1053),
% 265.31/36.73 | | | | | | | | | | | | | | | | (1066) are inconsistent by sub-proof #136.
% 265.31/36.73 | | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | | End of split
% 265.31/36.73 | | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | | End of split
% 265.31/36.73 | | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | End of split
% 265.31/36.73 | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | Case 2:
% 265.31/36.73 | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | (1067) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.31/36.73 | | | | | | | | | | | | | c0_1(a1026)
% 265.31/36.73 | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | ALPHA: (1067) implies:
% 265.31/36.73 | | | | | | | | | | | | | (1068) ~ c0_1(a1026)
% 265.31/36.73 | | | | | | | | | | | | | (1069) ~ c1_1(a1026)
% 265.31/36.73 | | | | | | | | | | | | | (1070) c2_1(a1026)
% 265.31/36.73 | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | | REF_CLOSE: (5), (6), (15), (16), (31), (34), (39), (77),
% 265.31/36.73 | | | | | | | | | | | | | (107), (1046), (1047), (1048), (1051), (1052),
% 265.31/36.73 | | | | | | | | | | | | | (1053), (1068), (1069), (1070) are inconsistent by
% 265.31/36.73 | | | | | | | | | | | | | sub-proof #49.
% 265.31/36.73 | | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | | End of split
% 265.31/36.73 | | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | | End of split
% 265.31/36.73 | | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | End of split
% 265.31/36.73 | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | Case 2:
% 265.31/36.73 | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | (1071) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.31/36.73 | | | | | | | | | | c0_1(a1019)
% 265.31/36.73 | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | ALPHA: (1071) implies:
% 265.31/36.73 | | | | | | | | | | (1072) ~ c0_1(a1019)
% 265.31/36.73 | | | | | | | | | | (1073) c2_1(a1019)
% 265.31/36.73 | | | | | | | | | | (1074) c1_1(a1019)
% 265.31/36.73 | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | | REF_CLOSE: (1), (4), (8), (12), (29), (34), (35), (73),
% 265.31/36.73 | | | | | | | | | | (107), (886), (887), (888), (1004), (1005),
% 265.31/36.73 | | | | | | | | | | (1006), (1072), (1073), (1074) are inconsistent by
% 265.31/36.73 | | | | | | | | | | sub-proof #53.
% 265.31/36.73 | | | | | | | | | |
% 265.31/36.73 | | | | | | | | | End of split
% 265.31/36.73 | | | | | | | | |
% 265.31/36.73 | | | | | | | | End of split
% 265.31/36.73 | | | | | | | |
% 265.31/36.73 | | | | | | | End of split
% 265.31/36.73 | | | | | | |
% 265.31/36.73 | | | | | | End of split
% 265.31/36.73 | | | | | |
% 265.31/36.73 | | | | | End of split
% 265.31/36.73 | | | | |
% 265.31/36.73 | | | | Case 2:
% 265.31/36.73 | | | | |
% 265.31/36.73 | | | | | (1075) c3_1(a1001) & c2_1(a1001) & ndr1_0 & ~ c1_1(a1001)
% 265.66/36.73 | | | | |
% 265.66/36.73 | | | | | ALPHA: (1075) implies:
% 265.66/36.73 | | | | | (1076) ~ c1_1(a1001)
% 265.66/36.73 | | | | | (1077) c2_1(a1001)
% 265.66/36.73 | | | | | (1078) c3_1(a1001)
% 265.66/36.73 | | | | |
% 265.66/36.73 | | | | | BETA: splitting (79) gives:
% 265.66/36.73 | | | | |
% 265.66/36.73 | | | | | Case 1:
% 265.66/36.73 | | | | | |
% 265.66/36.73 | | | | | | (1079) ~ hskp7
% 265.66/36.73 | | | | | |
% 265.66/36.73 | | | | | | BETA: splitting (42) gives:
% 265.66/36.73 | | | | | |
% 265.66/36.73 | | | | | | Case 1:
% 265.66/36.73 | | | | | | |
% 265.66/36.73 | | | | | | | (1080) hskp7
% 265.66/36.73 | | | | | | |
% 265.66/36.73 | | | | | | | PRED_UNIFY: (1079), (1080) imply:
% 265.66/36.73 | | | | | | | (1081) $false
% 265.66/36.73 | | | | | | |
% 265.66/36.73 | | | | | | | CLOSE: (1081) is inconsistent.
% 265.66/36.73 | | | | | | |
% 265.66/36.73 | | | | | | Case 2:
% 265.66/36.73 | | | | | | |
% 265.66/36.73 | | | | | | | (1082) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 265.66/36.73 | | | | | | | ~ c0_1(v0) | ~ ndr1_0)
% 265.66/36.73 | | | | | | |
% 265.66/36.73 | | | | | | | BETA: splitting (86) gives:
% 265.66/36.73 | | | | | | |
% 265.66/36.73 | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | |
% 265.66/36.73 | | | | | | | | (1083) ~ hskp14
% 265.66/36.73 | | | | | | | |
% 265.66/36.73 | | | | | | | | BETA: splitting (78) gives:
% 265.66/36.73 | | | | | | | |
% 265.66/36.73 | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | |
% 265.66/36.73 | | | | | | | | | (1084) ~ hskp6
% 265.66/36.73 | | | | | | | | |
% 265.66/36.73 | | | | | | | | | BETA: splitting (67) gives:
% 265.66/36.73 | | | | | | | | |
% 265.66/36.73 | | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | (1085) hskp6
% 265.66/36.73 | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | PRED_UNIFY: (1084), (1085) imply:
% 265.66/36.73 | | | | | | | | | | (1086) $false
% 265.66/36.73 | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | CLOSE: (1086) is inconsistent.
% 265.66/36.73 | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | Case 2:
% 265.66/36.73 | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | (1087) hskp27 | hskp14
% 265.66/36.73 | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | BETA: splitting (1087) gives:
% 265.66/36.73 | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | (1088) hskp27
% 265.66/36.73 | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | BETA: splitting (99) gives:
% 265.66/36.73 | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | (1089) ~ hskp27
% 265.66/36.73 | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | PRED_UNIFY: (1088), (1089) imply:
% 265.66/36.73 | | | | | | | | | | | | (1090) $false
% 265.66/36.73 | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | CLOSE: (1090) is inconsistent.
% 265.66/36.73 | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | Case 2:
% 265.66/36.73 | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | (1091) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 265.66/36.73 | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | ALPHA: (1091) implies:
% 265.66/36.73 | | | | | | | | | | | | (1092) c0_1(a1029)
% 265.66/36.73 | | | | | | | | | | | | (1093) c2_1(a1029)
% 265.66/36.73 | | | | | | | | | | | | (1094) c3_1(a1029)
% 265.66/36.73 | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | BETA: splitting (85) gives:
% 265.66/36.73 | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | (1095) ~ hskp13
% 265.66/36.73 | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | REF_CLOSE: (20), (50), (107), (108), (109), (1082), (1084),
% 265.66/36.73 | | | | | | | | | | | | | (1095) are inconsistent by sub-proof #95.
% 265.66/36.73 | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | Case 2:
% 265.66/36.73 | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | (1096) c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~
% 265.66/36.73 | | | | | | | | | | | | | c2_1(a1023)
% 265.66/36.73 | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | ALPHA: (1096) implies:
% 265.66/36.73 | | | | | | | | | | | | | (1097) ~ c2_1(a1023)
% 265.66/36.73 | | | | | | | | | | | | | (1098) ~ c1_1(a1023)
% 265.66/36.73 | | | | | | | | | | | | | (1099) c3_1(a1023)
% 265.66/36.73 | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | BETA: splitting (80) gives:
% 265.66/36.73 | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | (1100) ~ hskp8
% 265.66/36.73 | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | REF_CLOSE: (13), (20), (25), (50), (69), (85), (100), (107),
% 265.66/36.73 | | | | | | | | | | | | | | (108), (109), (1082), (1084), (1100) are
% 265.66/36.73 | | | | | | | | | | | | | | inconsistent by sub-proof #93.
% 265.66/36.73 | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | Case 2:
% 265.66/36.73 | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | (1101) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~
% 265.66/36.73 | | | | | | | | | | | | | | c1_1(a1010)
% 265.66/36.73 | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | ALPHA: (1101) implies:
% 265.66/36.73 | | | | | | | | | | | | | | (1102) ~ c1_1(a1010)
% 265.66/36.73 | | | | | | | | | | | | | | (1103) c0_1(a1010)
% 265.66/36.73 | | | | | | | | | | | | | | (1104) c3_1(a1010)
% 265.66/36.73 | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.66/36.73 | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | (1105) ~ hskp29
% 265.66/36.73 | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 265.66/36.73 | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | (1106) ~ hskp21
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (10), (13), (17), (19), (31), (41),
% 265.66/36.73 | | | | | | | | | | | | | | | | (55), (56), (57), (70), (77), (82), (90), (94),
% 265.66/36.73 | | | | | | | | | | | | | | | | (1076), (1077), (1078), (1079), (1084), (1097),
% 265.66/36.73 | | | | | | | | | | | | | | | | (1098), (1099), (1105), (1106) are inconsistent by
% 265.66/36.73 | | | | | | | | | | | | | | | | sub-proof #46.
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | Case 2:
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | (1107) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~
% 265.66/36.73 | | | | | | | | | | | | | | | | c0_1(a1041)
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (24), (27), (42), (106), (108), (109),
% 265.66/36.73 | | | | | | | | | | | | | | | | (1079), (1082), (1092), (1093), (1107) are
% 265.66/36.73 | | | | | | | | | | | | | | | | inconsistent by sub-proof #45.
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | End of split
% 265.66/36.73 | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | Case 2:
% 265.66/36.73 | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | (1108) hskp29
% 265.66/36.73 | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.66/36.73 | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | (1109) ~ hskp29
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | PRED_UNIFY: (1108), (1109) imply:
% 265.66/36.73 | | | | | | | | | | | | | | | | (1110) $false
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | CLOSE: (1110) is inconsistent.
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | Case 2:
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | (1111) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | ALPHA: (1111) implies:
% 265.66/36.73 | | | | | | | | | | | | | | | | (1112) c0_1(a1040)
% 265.66/36.73 | | | | | | | | | | | | | | | | (1113) c3_1(a1040)
% 265.66/36.73 | | | | | | | | | | | | | | | | (1114) c1_1(a1040)
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 265.66/36.73 | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | | (1115) ~ hskp21
% 265.66/36.73 | | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 265.66/36.73 | | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | | | (1116) hskp7
% 265.66/36.73 | | | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1079), (1116) imply:
% 265.66/36.73 | | | | | | | | | | | | | | | | | | (1117) $false
% 265.66/36.73 | | | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | | | CLOSE: (1117) is inconsistent.
% 265.66/36.73 | | | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.73 | | | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | | | (1118) hskp21 | hskp4
% 265.66/36.73 | | | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | | | BETA: splitting (1118) gives:
% 265.66/36.73 | | | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.73 | | | | | | | | | | | | | | | | | | |
% 265.66/36.73 | | | | | | | | | | | | | | | | | | | (1119) hskp4
% 265.66/36.73 | | | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (9), (12), (20), (24), (26), (27),
% 265.66/36.74 | | | | | | | | | | | | | | | | | | | (29), (31), (33), (34), (49), (58), (77), (81),
% 265.66/36.74 | | | | | | | | | | | | | | | | | | | (84), (88), (106), (108), (109), (1076), (1077),
% 265.66/36.74 | | | | | | | | | | | | | | | | | | | (1078), (1093), (1094), (1102), (1103), (1104),
% 265.66/36.74 | | | | | | | | | | | | | | | | | | | (1112), (1113), (1114), (1119) are inconsistent by
% 265.66/36.74 | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 265.66/36.74 | | | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | | | (1120) hskp21
% 265.66/36.74 | | | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1115), (1120) imply:
% 265.66/36.74 | | | | | | | | | | | | | | | | | | | (1121) $false
% 265.66/36.74 | | | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | | | CLOSE: (1121) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | (1122) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~
% 265.66/36.74 | | | | | | | | | | | | | | | | | c0_1(a1041)
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (24), (27), (42), (106), (108), (109),
% 265.66/36.74 | | | | | | | | | | | | | | | | | (1079), (1082), (1092), (1093), (1122) are
% 265.66/36.74 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #45.
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | (1123) hskp14
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | PRED_UNIFY: (1083), (1123) imply:
% 265.66/36.74 | | | | | | | | | | | (1124) $false
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | CLOSE: (1124) is inconsistent.
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | |
% 265.66/36.74 | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | |
% 265.66/36.74 | | | | | | | | | (1125) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 265.66/36.74 | | | | | | | | |
% 265.66/36.74 | | | | | | | | | ALPHA: (1125) implies:
% 265.66/36.74 | | | | | | | | | (1126) ~ c2_1(a1006)
% 265.66/36.74 | | | | | | | | | (1127) c0_1(a1006)
% 265.66/36.74 | | | | | | | | | (1128) c3_1(a1006)
% 265.66/36.74 | | | | | | | | |
% 265.66/36.74 | | | | | | | | | BETA: splitting (98) gives:
% 265.66/36.74 | | | | | | | | |
% 265.66/36.74 | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | (1129) ~ hskp26
% 265.66/36.74 | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | BETA: splitting (68) gives:
% 265.66/36.74 | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | (1130) hskp7
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | PRED_UNIFY: (1079), (1130) imply:
% 265.66/36.74 | | | | | | | | | | | (1131) $false
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | CLOSE: (1131) is inconsistent.
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | (1132) hskp27 | hskp26
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | BETA: splitting (1132) gives:
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | (1133) hskp26
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | PRED_UNIFY: (1129), (1133) imply:
% 265.66/36.74 | | | | | | | | | | | | (1134) $false
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | CLOSE: (1134) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | (1135) hskp27
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | BETA: splitting (99) gives:
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | (1136) ~ hskp27
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | PRED_UNIFY: (1135), (1136) imply:
% 265.66/36.74 | | | | | | | | | | | | | (1137) $false
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | CLOSE: (1137) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | (1138) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | ALPHA: (1138) implies:
% 265.66/36.74 | | | | | | | | | | | | | (1139) c0_1(a1029)
% 265.66/36.74 | | | | | | | | | | | | | (1140) c2_1(a1029)
% 265.66/36.74 | | | | | | | | | | | | | (1141) c3_1(a1029)
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | BETA: splitting (93) gives:
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | (1142) ~ hskp21
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | (1143) hskp7
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | PRED_UNIFY: (1079), (1143) imply:
% 265.66/36.74 | | | | | | | | | | | | | | | (1144) $false
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | CLOSE: (1144) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | (1145) hskp21 | hskp4
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | BETA: splitting (1145) gives:
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | (1146) hskp4
% 265.66/36.74 | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.66/36.74 | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | (1147) ~ hskp4
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | PRED_UNIFY: (1146), (1147) imply:
% 265.66/36.74 | | | | | | | | | | | | | | | | | (1148) $false
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | CLOSE: (1148) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | (1149) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.66/36.74 | | | | | | | | | | | | | | | | | c3_1(a1004)
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | ALPHA: (1149) implies:
% 265.66/36.74 | | | | | | | | | | | | | | | | | (1150) ~ c3_1(a1004)
% 265.66/36.74 | | | | | | | | | | | | | | | | | (1151) c2_1(a1004)
% 265.66/36.74 | | | | | | | | | | | | | | | | | (1152) c1_1(a1004)
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (24), (31), (107), (1082), (1126),
% 265.66/36.74 | | | | | | | | | | | | | | | | | (1127), (1128), (1139), (1140), (1141), (1150),
% 265.66/36.74 | | | | | | | | | | | | | | | | | (1151), (1152) are inconsistent by sub-proof #42.
% 265.66/36.74 | | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | (1153) hskp21
% 265.66/36.74 | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | PRED_UNIFY: (1142), (1153) imply:
% 265.66/36.74 | | | | | | | | | | | | | | | | (1154) $false
% 265.66/36.74 | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | | CLOSE: (1154) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | (1155) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~
% 265.66/36.74 | | | | | | | | | | | | | | c0_1(a1041)
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | REF_CLOSE: (18), (20), (24), (27), (42), (106), (108), (109),
% 265.66/36.74 | | | | | | | | | | | | | | (1079), (1082), (1139), (1140), (1155) are
% 265.66/36.74 | | | | | | | | | | | | | | inconsistent by sub-proof #45.
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | (1156) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 265.66/36.74 | | | | | | | | | | c0_1(a1052)
% 265.66/36.74 | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | ALPHA: (1156) implies:
% 265.66/36.74 | | | | | | | | | | (1157) ~ c0_1(a1052)
% 265.66/36.74 | | | | | | | | | | (1158) ~ c2_1(a1052)
% 265.66/36.74 | | | | | | | | | | (1159) c3_1(a1052)
% 265.66/36.74 | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | BETA: splitting (93) gives:
% 265.66/36.74 | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | (1160) ~ hskp21
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | BETA: splitting (56) gives:
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | (1161) hskp7
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | PRED_UNIFY: (1079), (1161) imply:
% 265.66/36.74 | | | | | | | | | | | | (1162) $false
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | CLOSE: (1162) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | (1163) hskp21 | hskp4
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | BETA: splitting (1163) gives:
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | (1164) hskp4
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | (1165) ~ hskp4
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | PRED_UNIFY: (1164), (1165) imply:
% 265.66/36.74 | | | | | | | | | | | | | | (1166) $false
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | CLOSE: (1166) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | (1167) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.66/36.74 | | | | | | | | | | | | | | c3_1(a1004)
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (31), (1076), (1077), (1078),
% 265.66/36.74 | | | | | | | | | | | | | | (1126), (1127), (1128), (1167) are inconsistent by
% 265.66/36.74 | | | | | | | | | | | | | | sub-proof #81.
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | (1168) hskp21
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | PRED_UNIFY: (1160), (1168) imply:
% 265.66/36.74 | | | | | | | | | | | | | (1169) $false
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | CLOSE: (1169) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | (1170) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~
% 265.66/36.74 | | | | | | | | | | | c0_1(a1041)
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | ALPHA: (1170) implies:
% 265.66/36.74 | | | | | | | | | | | (1171) ~ c0_1(a1041)
% 265.66/36.74 | | | | | | | | | | | (1172) ~ c3_1(a1041)
% 265.66/36.74 | | | | | | | | | | | (1173) c2_1(a1041)
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | BETA: splitting (27) gives:
% 265.66/36.74 | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | (1174) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.66/36.74 | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | BETA: splitting (28) gives:
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | (1175) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.66/36.74 | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | GROUND_INST: instantiating (1175) with a1001, simplifying with
% 265.66/36.74 | | | | | | | | | | | | | (2), (107), (1076), (1078) gives:
% 265.66/36.74 | | | | | | | | | | | | | (1176) c0_1(a1001)
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | GROUND_INST: instantiating (1174) with a1001, simplifying with
% 265.66/36.74 | | | | | | | | | | | | | (2), (107), (1076), (1077), (1176) gives:
% 265.66/36.74 | | | | | | | | | | | | | (1177) $false
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | CLOSE: (1177) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | (1178) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.66/36.74 | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.66/36.74 | | | | | | | | | | | | | $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 265.66/36.74 | | | | | | | | | | | | | c3_1(v0))
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | BETA: splitting (1178) gives:
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | (1179) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.66/36.74 | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0))
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | GROUND_INST: instantiating (1179) with a1052, simplifying with
% 265.66/36.74 | | | | | | | | | | | | | | (23), (107), (1157), (1158), (1159) gives:
% 265.66/36.74 | | | | | | | | | | | | | | (1180) $false
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | CLOSE: (1180) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | (1181) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.66/36.74 | | | | | | | | | | | | | | | c1_1(v0) | c3_1(v0))
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | GROUND_INST: instantiating (1181) with a1041, simplifying with
% 265.66/36.74 | | | | | | | | | | | | | | (18), (107), (1172), (1173) gives:
% 265.66/36.74 | | | | | | | | | | | | | | (1182) c1_1(a1041)
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | Case 1:
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | (1183) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.66/36.74 | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c3_1(v0))
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | GROUND_INST: instantiating (1183) with a1041, simplifying with
% 265.66/36.74 | | | | | | | | | | | | | | | (18), (107), (1172), (1173), (1182) gives:
% 265.66/36.74 | | | | | | | | | | | | | | | (1184) $false
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | CLOSE: (1184) is inconsistent.
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | (1185) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.66/36.74 | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 265.66/36.74 | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.66/36.74 | | | | | | | | | | | | | | | | c2_1(v0))
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (107), (1076), (1077), (1078), (1126),
% 265.66/36.74 | | | | | | | | | | | | | | | (1127), (1128), (1185) are inconsistent by
% 265.66/36.74 | | | | | | | | | | | | | | | sub-proof #99.
% 265.66/36.74 | | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | | End of split
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.74 | | | | | | | | | | | Case 2:
% 265.66/36.74 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | (1186) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.66/36.75 | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.66/36.75 | | | | | | | | | | | | $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 265.66/36.75 | | | | | | | | | | | | c2_1(v0))
% 265.66/36.75 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | BETA: splitting (1186) gives:
% 265.66/36.75 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | (1187) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.66/36.75 | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | GROUND_INST: instantiating (1187) with a1041, simplifying with
% 265.66/36.75 | | | | | | | | | | | | | (18), (107), (1171), (1172), (1173) gives:
% 265.66/36.75 | | | | | | | | | | | | | (1188) $false
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | CLOSE: (1188) is inconsistent.
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | (1189) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.66/36.75 | | | | | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | GROUND_INST: instantiating (1189) with a1044, simplifying with
% 265.66/36.75 | | | | | | | | | | | | | (20), (106), (107), (108) gives:
% 265.66/36.75 | | | | | | | | | | | | | (1190) c2_1(a1044)
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | REF_CLOSE: (20), (42), (107), (108), (109), (1079), (1190)
% 265.66/36.75 | | | | | | | | | | | | | are inconsistent by sub-proof #156.
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | |
% 265.66/36.75 | | | | | | | | End of split
% 265.66/36.75 | | | | | | | |
% 265.66/36.75 | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | |
% 265.66/36.75 | | | | | | | | (1191) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025)
% 265.66/36.75 | | | | | | | |
% 265.66/36.75 | | | | | | | | ALPHA: (1191) implies:
% 265.66/36.75 | | | | | | | | (1192) ~ c2_1(a1025)
% 265.66/36.75 | | | | | | | | (1193) ~ c3_1(a1025)
% 265.66/36.75 | | | | | | | | (1194) c0_1(a1025)
% 265.66/36.75 | | | | | | | |
% 265.66/36.75 | | | | | | | | BETA: splitting (78) gives:
% 265.66/36.75 | | | | | | | |
% 265.66/36.75 | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | |
% 265.66/36.75 | | | | | | | | | (1195) ~ hskp6
% 265.66/36.75 | | | | | | | | |
% 265.66/36.75 | | | | | | | | | BETA: splitting (80) gives:
% 265.66/36.75 | | | | | | | | |
% 265.66/36.75 | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | (1196) ~ hskp8
% 265.66/36.75 | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | REF_CLOSE: (13), (20), (25), (50), (69), (85), (100), (107),
% 265.66/36.75 | | | | | | | | | | (108), (109), (1082), (1195), (1196) are
% 265.66/36.75 | | | | | | | | | | inconsistent by sub-proof #93.
% 265.66/36.75 | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | (1197) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~
% 265.66/36.75 | | | | | | | | | | c1_1(a1010)
% 265.66/36.75 | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | ALPHA: (1197) implies:
% 265.66/36.75 | | | | | | | | | | (1198) ~ c1_1(a1010)
% 265.66/36.75 | | | | | | | | | | (1199) c0_1(a1010)
% 265.66/36.75 | | | | | | | | | | (1200) c3_1(a1010)
% 265.66/36.75 | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | BETA: splitting (85) gives:
% 265.66/36.75 | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | (1201) ~ hskp13
% 265.66/36.75 | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | REF_CLOSE: (20), (50), (107), (108), (109), (1082), (1195),
% 265.66/36.75 | | | | | | | | | | | (1201) are inconsistent by sub-proof #95.
% 265.66/36.75 | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | (1202) c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~
% 265.66/36.75 | | | | | | | | | | | c2_1(a1023)
% 265.66/36.75 | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | ALPHA: (1202) implies:
% 265.66/36.75 | | | | | | | | | | | (1203) ~ c2_1(a1023)
% 265.66/36.75 | | | | | | | | | | | (1204) ~ c1_1(a1023)
% 265.66/36.75 | | | | | | | | | | | (1205) c3_1(a1023)
% 265.66/36.75 | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | BETA: splitting (98) gives:
% 265.66/36.75 | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | (1206) ~ hskp26
% 265.66/36.75 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | BETA: splitting (68) gives:
% 265.66/36.75 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | (1207) hskp7
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | PRED_UNIFY: (1079), (1207) imply:
% 265.66/36.75 | | | | | | | | | | | | | (1208) $false
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | CLOSE: (1208) is inconsistent.
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | (1209) hskp27 | hskp26
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | BETA: splitting (1209) gives:
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | (1210) hskp26
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | PRED_UNIFY: (1206), (1210) imply:
% 265.66/36.75 | | | | | | | | | | | | | | (1211) $false
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | CLOSE: (1211) is inconsistent.
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | (1212) hskp27
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | (1213) ~ hskp27
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | PRED_UNIFY: (1212), (1213) imply:
% 265.66/36.75 | | | | | | | | | | | | | | | (1214) $false
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | CLOSE: (1214) is inconsistent.
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | (1215) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | ALPHA: (1215) implies:
% 265.66/36.75 | | | | | | | | | | | | | | | (1216) c0_1(a1029)
% 265.66/36.75 | | | | | | | | | | | | | | | (1217) c2_1(a1029)
% 265.66/36.75 | | | | | | | | | | | | | | | (1218) c3_1(a1029)
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | (1219) ~ hskp29
% 265.66/36.75 | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 265.66/36.75 | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1220) ~ hskp21
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (10), (13), (17), (19), (31), (41),
% 265.66/36.75 | | | | | | | | | | | | | | | | | (55), (56), (57), (70), (77), (82), (90), (94),
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1076), (1077), (1078), (1079), (1195), (1203),
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1204), (1205), (1219), (1220) are inconsistent by
% 265.66/36.75 | | | | | | | | | | | | | | | | | sub-proof #46.
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1221) hskp21
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (18), (24), (27), (93), (1082), (1192),
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1193), (1194), (1216), (1217), (1221) are
% 265.66/36.75 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #40.
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | (1222) hskp29
% 265.66/36.75 | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.66/36.75 | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1223) ~ hskp29
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | PRED_UNIFY: (1222), (1223) imply:
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1224) $false
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | CLOSE: (1224) is inconsistent.
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1225) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | ALPHA: (1225) implies:
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1226) c0_1(a1040)
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1227) c3_1(a1040)
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1228) c1_1(a1040)
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | (1229) hskp7
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1079), (1229) imply:
% 265.66/36.75 | | | | | | | | | | | | | | | | | | (1230) $false
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | CLOSE: (1230) is inconsistent.
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | (1231) hskp21 | hskp4
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | BETA: splitting (1231) gives:
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | (1232) hskp4
% 265.66/36.75 | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (9), (12), (20), (24), (26), (27),
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | (29), (31), (33), (34), (49), (58), (77), (81),
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | (84), (88), (106), (108), (109), (1076), (1077),
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | (1078), (1198), (1199), (1200), (1217), (1218),
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | (1226), (1227), (1228), (1232) are inconsistent by
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 265.66/36.75 | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | (1233) hskp21
% 265.66/36.75 | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (18), (24), (27), (93), (1082), (1192),
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | (1193), (1194), (1216), (1217), (1233) are
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #40.
% 265.66/36.75 | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | End of split
% 265.66/36.75 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | (1234) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 265.66/36.75 | | | | | | | | | | | | c0_1(a1052)
% 265.66/36.75 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | ALPHA: (1234) implies:
% 265.66/36.75 | | | | | | | | | | | | (1235) ~ c0_1(a1052)
% 265.66/36.75 | | | | | | | | | | | | (1236) ~ c2_1(a1052)
% 265.66/36.75 | | | | | | | | | | | | (1237) c3_1(a1052)
% 265.66/36.75 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | BETA: splitting (84) gives:
% 265.66/36.75 | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | (1238) ~ hskp12
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | BETA: splitting (48) gives:
% 265.66/36.75 | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | (1239) hskp6
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | PRED_UNIFY: (1195), (1239) imply:
% 265.66/36.75 | | | | | | | | | | | | | | (1240) $false
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | CLOSE: (1240) is inconsistent.
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | (1241) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.66/36.75 | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | BETA: splitting (1241) gives:
% 265.66/36.75 | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | (1242) hskp12
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | PRED_UNIFY: (1238), (1242) imply:
% 265.66/36.75 | | | | | | | | | | | | | | | (1243) $false
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | CLOSE: (1243) is inconsistent.
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | (1244) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.66/36.75 | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | BETA: splitting (81) gives:
% 265.66/36.75 | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | (1245) ~ hskp9
% 265.66/36.75 | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 265.66/36.75 | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1246) hskp12
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | PRED_UNIFY: (1238), (1246) imply:
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1247) $false
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | CLOSE: (1247) is inconsistent.
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | (1248) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.66/36.75 | | | | | | | | | | | | | | | | | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.66/36.75 | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | (1249) ~ hskp4
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (14), (18), (23), (27), (28), (56), (93),
% 265.66/36.75 | | | | | | | | | | | | | | | | | | (1076), (1077), (1078), (1079), (1192), (1193),
% 265.66/36.75 | | | | | | | | | | | | | | | | | | (1194), (1235), (1236), (1237), (1244), (1249) are
% 265.66/36.75 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #37.
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | (1250) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.66/36.75 | | | | | | | | | | | | | | | | | | c3_1(a1004)
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | ALPHA: (1250) implies:
% 265.66/36.75 | | | | | | | | | | | | | | | | | | (1251) ~ c3_1(a1004)
% 265.66/36.75 | | | | | | | | | | | | | | | | | | (1252) c2_1(a1004)
% 265.66/36.75 | | | | | | | | | | | | | | | | | | (1253) c1_1(a1004)
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 265.66/36.75 | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | (1254) ~ hskp10
% 265.66/36.75 | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 265.66/36.75 | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | | (1255) hskp10
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1254), (1255) imply:
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | | (1256) $false
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | | CLOSE: (1256) is inconsistent.
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.75 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | (1257) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | ~ ndr1_0 | c2_1(v0) | c0_1(v0))
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1257) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1258) hskp9
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1245), (1258) imply:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1259) $false
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1259) is inconsistent.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1260) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0))
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1260) with a1003, simplifying with
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (4), (107), (886), (887), (888) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1261) $false
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1261) is inconsistent.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1262) c0_1(a1012) & ndr1_0 & ~ c1_1(a1012) & ~
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | c3_1(a1012)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | ALPHA: (1262) implies:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1263) ~ c3_1(a1012)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1264) ~ c1_1(a1012)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1265) c0_1(a1012)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | (1266) ~ hskp29
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1267) ~ hskp21
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (70), (107), (1263), (1264), (1265), (1266),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1267) are inconsistent by sub-proof #36.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1268) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | c0_1(a1041)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1268) implies:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1269) ~ c0_1(a1041)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1270) ~ c3_1(a1041)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1271) c2_1(a1041)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | (1272) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (31), (107), (1076), (1077),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | (1078), (1198), (1199), (1200), (1251), (1252),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | (1253), (1272) are inconsistent by sub-proof #90.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | (1273) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0))
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1273) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | (1274) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1274) with a1041, simplifying with
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | (18), (107), (1269), (1270), (1271) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | (1275) $false
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1275) is inconsistent.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | (1276) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1276) with a1025, simplifying with
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | (14), (107), (1192), (1193), (1194) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | (1277) $false
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1277) is inconsistent.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | (1278) hskp29
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1279) ~ hskp29
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1278), (1279) imply:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1280) $false
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1280) is inconsistent.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1281) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1281) implies:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1282) c0_1(a1040)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1283) c3_1(a1040)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1284) c1_1(a1040)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (8), (20), (26), (31), (33), (107),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (108), (109), (1076), (1077), (1078), (1198),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1199), (1200), (1245), (1248), (1251), (1252),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1253), (1282), (1283), (1284) are inconsistent by
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | (1285) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~
% 265.66/36.76 | | | | | | | | | | | | | | | | c2_1(a1011)
% 265.66/36.76 | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | ALPHA: (1285) implies:
% 265.66/36.76 | | | | | | | | | | | | | | | | (1286) ~ c2_1(a1011)
% 265.66/36.76 | | | | | | | | | | | | | | | | (1287) c0_1(a1011)
% 265.66/36.76 | | | | | | | | | | | | | | | | (1288) c1_1(a1011)
% 265.66/36.76 | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | (1289) ~ hskp4
% 265.66/36.76 | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (14), (18), (23), (27), (28), (56), (93),
% 265.66/36.76 | | | | | | | | | | | | | | | | | (1076), (1077), (1078), (1079), (1192), (1193),
% 265.66/36.76 | | | | | | | | | | | | | | | | | (1194), (1235), (1236), (1237), (1244), (1289) are
% 265.66/36.76 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #37.
% 265.66/36.76 | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | (1290) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.66/36.76 | | | | | | | | | | | | | | | | | c3_1(a1004)
% 265.66/36.76 | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | ALPHA: (1290) implies:
% 265.66/36.76 | | | | | | | | | | | | | | | | | (1291) ~ c3_1(a1004)
% 265.66/36.76 | | | | | | | | | | | | | | | | | (1292) c2_1(a1004)
% 265.66/36.76 | | | | | | | | | | | | | | | | | (1293) c1_1(a1004)
% 265.66/36.76 | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | (1294) ~ hskp29
% 265.66/36.76 | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1295) ~ hskp21
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (10), (13), (17), (19), (31), (41),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (55), (57), (70), (82), (90), (94), (107), (1076),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1077), (1078), (1079), (1195), (1203), (1204),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1205), (1291), (1292), (1293), (1294), (1295) are
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #47.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1296) hskp21
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (14), (18), (23), (27), (28), (93), (1076),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1077), (1078), (1192), (1193), (1194), (1235),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1236), (1237), (1244), (1296) are inconsistent by
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | sub-proof #38.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | (1297) hskp29
% 265.66/36.76 | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1298) ~ hskp29
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1297), (1298) imply:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1299) $false
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | CLOSE: (1299) is inconsistent.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1300) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | ALPHA: (1300) implies:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1301) c0_1(a1040)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1302) c3_1(a1040)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | (1303) c1_1(a1040)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | (1304) ~ hskp4
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (14), (18), (23), (27), (28), (56), (93),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | (1076), (1077), (1078), (1079), (1192), (1193),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | (1194), (1235), (1236), (1237), (1244), (1304) are
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #37.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | BETA: splitting (33) gives:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1305) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (5), (26), (31), (107), (1076), (1077),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1078), (1291), (1292), (1293), (1301), (1302),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1303), (1305) are inconsistent by sub-proof #72.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1306) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0)) | ! [v0: $i] :
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | | c1_1(v0))
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (9), (107), (1198), (1199), (1200), (1286),
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | (1287), (1288), (1306) are inconsistent by
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | (1307) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.66/36.76 | | | | | | | | | | | | | c0_1(a1019)
% 265.66/36.76 | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | ALPHA: (1307) implies:
% 265.66/36.76 | | | | | | | | | | | | | (1308) ~ c0_1(a1019)
% 265.66/36.76 | | | | | | | | | | | | | (1309) c2_1(a1019)
% 265.66/36.76 | | | | | | | | | | | | | (1310) c1_1(a1019)
% 265.66/36.76 | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | | REF_CLOSE: (1), (4), (8), (12), (29), (34), (35), (73),
% 265.66/36.76 | | | | | | | | | | | | | (107), (886), (887), (888), (1198), (1199),
% 265.66/36.76 | | | | | | | | | | | | | (1200), (1308), (1309), (1310) are inconsistent by
% 265.66/36.76 | | | | | | | | | | | | | sub-proof #53.
% 265.66/36.76 | | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | | |
% 265.66/36.76 | | | | | | | | | End of split
% 265.66/36.76 | | | | | | | | |
% 265.66/36.76 | | | | | | | | Case 2:
% 265.66/36.76 | | | | | | | | |
% 265.66/36.77 | | | | | | | | | (1311) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 265.66/36.77 | | | | | | | | |
% 265.66/36.77 | | | | | | | | | ALPHA: (1311) implies:
% 265.66/36.77 | | | | | | | | | (1312) ~ c2_1(a1006)
% 265.66/36.77 | | | | | | | | | (1313) c0_1(a1006)
% 265.66/36.77 | | | | | | | | | (1314) c3_1(a1006)
% 265.66/36.77 | | | | | | | | |
% 265.66/36.77 | | | | | | | | | BETA: splitting (98) gives:
% 265.66/36.77 | | | | | | | | |
% 265.66/36.77 | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | (1315) ~ hskp26
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | BETA: splitting (68) gives:
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | (1316) hskp7
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | PRED_UNIFY: (1079), (1316) imply:
% 265.66/36.77 | | | | | | | | | | | (1317) $false
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | CLOSE: (1317) is inconsistent.
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | (1318) hskp27 | hskp26
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | BETA: splitting (1318) gives:
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | (1319) hskp26
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | PRED_UNIFY: (1315), (1319) imply:
% 265.66/36.77 | | | | | | | | | | | | (1320) $false
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | CLOSE: (1320) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | (1321) hskp27
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | BETA: splitting (99) gives:
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | (1322) ~ hskp27
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | PRED_UNIFY: (1321), (1322) imply:
% 265.66/36.77 | | | | | | | | | | | | | (1323) $false
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | CLOSE: (1323) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | (1324) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | ALPHA: (1324) implies:
% 265.66/36.77 | | | | | | | | | | | | | (1325) c0_1(a1029)
% 265.66/36.77 | | | | | | | | | | | | | (1326) c2_1(a1029)
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | BETA: splitting (77) gives:
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | (1327) ~ hskp4
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | BETA: splitting (56) gives:
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | (1328) hskp7
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | PRED_UNIFY: (1079), (1328) imply:
% 265.66/36.77 | | | | | | | | | | | | | | | (1329) $false
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | CLOSE: (1329) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | (1330) hskp21 | hskp4
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | BETA: splitting (1330) gives:
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | (1331) hskp4
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | PRED_UNIFY: (1327), (1331) imply:
% 265.66/36.77 | | | | | | | | | | | | | | | | (1332) $false
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | CLOSE: (1332) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | (1333) hskp21
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | REF_CLOSE: (14), (18), (24), (27), (93), (1082), (1192),
% 265.66/36.77 | | | | | | | | | | | | | | | | (1193), (1194), (1325), (1326), (1333) are
% 265.66/36.77 | | | | | | | | | | | | | | | | inconsistent by sub-proof #40.
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | (1334) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.66/36.77 | | | | | | | | | | | | | | c3_1(a1004)
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | ALPHA: (1334) implies:
% 265.66/36.77 | | | | | | | | | | | | | | (1335) ~ c3_1(a1004)
% 265.66/36.77 | | | | | | | | | | | | | | (1336) c2_1(a1004)
% 265.66/36.77 | | | | | | | | | | | | | | (1337) c1_1(a1004)
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | BETA: splitting (68) gives:
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | (1338) hskp7
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | PRED_UNIFY: (1079), (1338) imply:
% 265.66/36.77 | | | | | | | | | | | | | | | (1339) $false
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | CLOSE: (1339) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | BETA: splitting (1318) gives:
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | (1340) hskp26
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | PRED_UNIFY: (1315), (1340) imply:
% 265.66/36.77 | | | | | | | | | | | | | | | | (1341) $false
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | CLOSE: (1341) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | (1342) ~ hskp27
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | PRED_UNIFY: (1321), (1342) imply:
% 265.66/36.77 | | | | | | | | | | | | | | | | | (1343) $false
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | CLOSE: (1343) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | ALPHA: (1324) implies:
% 265.66/36.77 | | | | | | | | | | | | | | | | | (1344) c3_1(a1029)
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (24), (31), (107), (1082), (1312),
% 265.66/36.77 | | | | | | | | | | | | | | | | | (1313), (1314), (1325), (1326), (1335), (1336),
% 265.66/36.77 | | | | | | | | | | | | | | | | | (1337), (1344) are inconsistent by sub-proof #42.
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | (1345) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 265.66/36.77 | | | | | | | | | | c0_1(a1052)
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | ALPHA: (1345) implies:
% 265.66/36.77 | | | | | | | | | | (1346) ~ c0_1(a1052)
% 265.66/36.77 | | | | | | | | | | (1347) ~ c2_1(a1052)
% 265.66/36.77 | | | | | | | | | | (1348) c3_1(a1052)
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | BETA: splitting (77) gives:
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | (1349) ~ hskp4
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | BETA: splitting (56) gives:
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | (1350) hskp7
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | PRED_UNIFY: (1079), (1350) imply:
% 265.66/36.77 | | | | | | | | | | | | (1351) $false
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | CLOSE: (1351) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | (1352) hskp21 | hskp4
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | BETA: splitting (1352) gives:
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | (1353) hskp4
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | PRED_UNIFY: (1349), (1353) imply:
% 265.66/36.77 | | | | | | | | | | | | | (1354) $false
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | CLOSE: (1354) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | (1355) hskp21
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | BETA: splitting (93) gives:
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | (1356) ~ hskp21
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | PRED_UNIFY: (1355), (1356) imply:
% 265.66/36.77 | | | | | | | | | | | | | | (1357) $false
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | CLOSE: (1357) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | (1358) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~
% 265.66/36.77 | | | | | | | | | | | | | | c0_1(a1041)
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | ALPHA: (1358) implies:
% 265.66/36.77 | | | | | | | | | | | | | | (1359) ~ c0_1(a1041)
% 265.66/36.77 | | | | | | | | | | | | | | (1360) ~ c3_1(a1041)
% 265.66/36.77 | | | | | | | | | | | | | | (1361) c2_1(a1041)
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | BETA: splitting (31) gives:
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | (1362) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.66/36.77 | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c3_1(v0))
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | (1363) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.66/36.77 | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (14), (18), (27), (107), (1076), (1077),
% 265.66/36.77 | | | | | | | | | | | | | | | | (1078), (1192), (1193), (1194), (1359), (1360),
% 265.66/36.77 | | | | | | | | | | | | | | | | (1361), (1363) are inconsistent by sub-proof #39.
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | (1364) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.66/36.77 | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.66/36.77 | | | | | | | | | | | | | | | | $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 265.66/36.77 | | | | | | | | | | | | | | | | c3_1(v0))
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | BETA: splitting (1364) gives:
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | (1365) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.66/36.77 | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0))
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1365) with a1052, simplifying with
% 265.66/36.77 | | | | | | | | | | | | | | | | | (23), (107), (1346), (1347), (1348) gives:
% 265.66/36.77 | | | | | | | | | | | | | | | | | (1366) $false
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | CLOSE: (1366) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | (1367) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.66/36.77 | | | | | | | | | | | | | | | | | | c1_1(v0) | c3_1(v0))
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1367) with a1041, simplifying with
% 265.66/36.77 | | | | | | | | | | | | | | | | | (18), (107), (1360), (1361) gives:
% 265.66/36.77 | | | | | | | | | | | | | | | | | (1368) c1_1(a1041)
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1362) with a1041, simplifying with
% 265.66/36.77 | | | | | | | | | | | | | | | | | (18), (107), (1360), (1361), (1368) gives:
% 265.66/36.77 | | | | | | | | | | | | | | | | | (1369) $false
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | | CLOSE: (1369) is inconsistent.
% 265.66/36.77 | | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | (1370) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.66/36.77 | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 265.66/36.77 | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.66/36.77 | | | | | | | | | | | | | | | | c2_1(v0))
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | | REF_CLOSE: (2), (6), (107), (1076), (1077), (1078), (1312),
% 265.66/36.77 | | | | | | | | | | | | | | | (1313), (1314), (1370) are inconsistent by
% 265.66/36.77 | | | | | | | | | | | | | | | sub-proof #99.
% 265.66/36.77 | | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | (1371) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 265.66/36.77 | | | | | | | | | | | c3_1(a1004)
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | REF_CLOSE: (2), (5), (6), (31), (1076), (1077), (1078),
% 265.66/36.77 | | | | | | | | | | | (1312), (1313), (1314), (1371) are inconsistent by
% 265.66/36.77 | | | | | | | | | | | sub-proof #81.
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | End of split
% 265.66/36.77 | | | | | | | | |
% 265.66/36.77 | | | | | | | | End of split
% 265.66/36.77 | | | | | | | |
% 265.66/36.77 | | | | | | | End of split
% 265.66/36.77 | | | | | | |
% 265.66/36.77 | | | | | | End of split
% 265.66/36.77 | | | | | |
% 265.66/36.77 | | | | | Case 2:
% 265.66/36.77 | | | | | |
% 265.66/36.77 | | | | | | (1372) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~ c3_1(a1008)
% 265.66/36.77 | | | | | |
% 265.66/36.77 | | | | | | ALPHA: (1372) implies:
% 265.66/36.77 | | | | | | (1373) ~ c3_1(a1008)
% 265.66/36.77 | | | | | | (1374) ~ c1_1(a1008)
% 265.66/36.77 | | | | | | (1375) c2_1(a1008)
% 265.66/36.77 | | | | | |
% 265.66/36.77 | | | | | | BETA: splitting (80) gives:
% 265.66/36.77 | | | | | |
% 265.66/36.77 | | | | | | Case 1:
% 265.66/36.77 | | | | | | |
% 265.66/36.77 | | | | | | | (1376) ~ hskp8
% 265.66/36.77 | | | | | | |
% 265.66/36.77 | | | | | | | REF_CLOSE: (4), (7), (43), (107), (886), (887), (888), (1373),
% 265.66/36.77 | | | | | | | (1374), (1375), (1376) are inconsistent by sub-proof
% 265.66/36.77 | | | | | | | #66.
% 265.66/36.77 | | | | | | |
% 265.66/36.77 | | | | | | Case 2:
% 265.66/36.77 | | | | | | |
% 265.66/36.77 | | | | | | | (1377) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 265.66/36.77 | | | | | | |
% 265.66/36.77 | | | | | | | ALPHA: (1377) implies:
% 265.66/36.77 | | | | | | | (1378) ~ c1_1(a1010)
% 265.66/36.77 | | | | | | | (1379) c0_1(a1010)
% 265.66/36.77 | | | | | | | (1380) c3_1(a1010)
% 265.66/36.77 | | | | | | |
% 265.66/36.77 | | | | | | | BETA: splitting (86) gives:
% 265.66/36.77 | | | | | | |
% 265.66/36.77 | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | |
% 265.66/36.77 | | | | | | | | (1381) ~ hskp14
% 265.66/36.77 | | | | | | | |
% 265.66/36.77 | | | | | | | | BETA: splitting (81) gives:
% 265.66/36.77 | | | | | | | |
% 265.66/36.77 | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | |
% 265.66/36.77 | | | | | | | | | (1382) ~ hskp9
% 265.66/36.77 | | | | | | | | |
% 265.66/36.77 | | | | | | | | | BETA: splitting (84) gives:
% 265.66/36.77 | | | | | | | | |
% 265.66/36.77 | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | (1383) ~ hskp12
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | BETA: splitting (49) gives:
% 265.66/36.77 | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | Case 1:
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | (1384) hskp12
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | PRED_UNIFY: (1383), (1384) imply:
% 265.66/36.77 | | | | | | | | | | | (1385) $false
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | CLOSE: (1385) is inconsistent.
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | Case 2:
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.77 | | | | | | | | | | | (1386) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.66/36.77 | | | | | | | | | | | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.66/36.77 | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | BETA: splitting (89) gives:
% 265.66/36.78 | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | Case 1:
% 265.66/36.78 | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | (1387) ~ hskp17
% 265.66/36.78 | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | BETA: splitting (78) gives:
% 265.66/36.78 | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | Case 1:
% 265.66/36.78 | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | (1388) ~ hskp6
% 265.66/36.78 | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | BETA: splitting (48) gives:
% 265.66/36.78 | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | Case 1:
% 265.66/36.78 | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | (1389) hskp6
% 265.66/36.78 | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | PRED_UNIFY: (1388), (1389) imply:
% 265.66/36.78 | | | | | | | | | | | | | | (1390) $false
% 265.66/36.78 | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | CLOSE: (1390) is inconsistent.
% 265.66/36.78 | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | Case 2:
% 265.66/36.78 | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | (1391) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.66/36.78 | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 265.66/36.78 | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | BETA: splitting (1391) gives:
% 265.66/36.78 | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | Case 1:
% 265.66/36.78 | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | (1392) hskp12
% 265.66/36.78 | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | PRED_UNIFY: (1383), (1392) imply:
% 265.66/36.78 | | | | | | | | | | | | | | | (1393) $false
% 265.66/36.78 | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | CLOSE: (1393) is inconsistent.
% 265.66/36.78 | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | Case 2:
% 265.66/36.78 | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | (1394) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.66/36.78 | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.66/36.78 | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (1394) with a1003, simplifying with
% 265.66/36.78 | | | | | | | | | | | | | | | (4), (107), (886), (888) gives:
% 265.66/36.78 | | | | | | | | | | | | | | | (1395) c3_1(a1003)
% 265.66/36.78 | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.66/36.78 | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | Case 1:
% 265.66/36.78 | | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | | (1396) ~ hskp15
% 265.66/36.78 | | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (7), (8), (9), (12), (20), (21), (27),
% 265.66/36.78 | | | | | | | | | | | | | | | | (28), (29), (31), (34), (49), (51), (53), (58),
% 265.66/36.78 | | | | | | | | | | | | | | | | (63), (81), (84), (96), (106), (107), (108),
% 265.66/36.78 | | | | | | | | | | | | | | | | (109), (886), (887), (888), (1076), (1077),
% 265.66/36.78 | | | | | | | | | | | | | | | | (1078), (1373), (1374), (1375), (1378), (1379),
% 265.66/36.78 | | | | | | | | | | | | | | | | (1380), (1387), (1396) are inconsistent by
% 265.66/36.78 | | | | | | | | | | | | | | | | sub-proof #31.
% 265.66/36.78 | | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | Case 2:
% 265.66/36.78 | | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | | (1397) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.66/36.78 | | | | | | | | | | | | | | | | c0_1(a1026)
% 265.66/36.78 | | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (7), (8), (9), (12), (15), (20), (27),
% 265.66/36.78 | | | | | | | | | | | | | | | | (28), (29), (30), (31), (34), (49), (58), (81),
% 265.66/36.78 | | | | | | | | | | | | | | | | (84), (106), (108), (109), (886), (887), (1076),
% 265.66/36.78 | | | | | | | | | | | | | | | | (1077), (1078), (1373), (1374), (1375), (1378),
% 265.66/36.78 | | | | | | | | | | | | | | | | (1379), (1380), (1382), (1386), (1395), (1397) are
% 265.66/36.78 | | | | | | | | | | | | | | | | inconsistent by sub-proof #30.
% 265.66/36.78 | | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | | End of split
% 265.66/36.78 | | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | | End of split
% 265.66/36.78 | | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | End of split
% 265.66/36.78 | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | Case 2:
% 265.66/36.78 | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | (1398) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.66/36.78 | | | | | | | | | | | | | c2_1(a1006)
% 265.66/36.78 | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | ALPHA: (1398) implies:
% 265.66/36.78 | | | | | | | | | | | | | (1399) ~ c2_1(a1006)
% 265.66/36.78 | | | | | | | | | | | | | (1400) c0_1(a1006)
% 265.66/36.78 | | | | | | | | | | | | | (1401) c3_1(a1006)
% 265.66/36.78 | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (12), (15),
% 265.66/36.78 | | | | | | | | | | | | | (20), (21), (27), (28), (29), (31), (34), (39),
% 265.66/36.78 | | | | | | | | | | | | | (49), (51), (53), (58), (63), (77), (81), (84),
% 265.66/36.78 | | | | | | | | | | | | | (87), (96), (106), (107), (108), (109), (886),
% 265.66/36.78 | | | | | | | | | | | | | (887), (888), (1076), (1077), (1078), (1373),
% 265.66/36.78 | | | | | | | | | | | | | (1374), (1375), (1378), (1379), (1380), (1387),
% 265.66/36.78 | | | | | | | | | | | | | (1399), (1400), (1401) are inconsistent by
% 265.66/36.78 | | | | | | | | | | | | | sub-proof #28.
% 265.66/36.78 | | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | | End of split
% 265.66/36.78 | | | | | | | | | | | |
% 265.66/36.78 | | | | | | | | | | | Case 2:
% 265.66/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | (1402) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 265.86/36.78 | | | | | | | | | | | | c0_1(a1032)
% 265.86/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | ALPHA: (1402) implies:
% 265.86/36.78 | | | | | | | | | | | | (1403) ~ c0_1(a1032)
% 265.86/36.78 | | | | | | | | | | | | (1404) c2_1(a1032)
% 265.86/36.78 | | | | | | | | | | | | (1405) c3_1(a1032)
% 265.86/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | BETA: splitting (78) gives:
% 265.86/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | Case 1:
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | (1406) ~ hskp6
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | BETA: splitting (48) gives:
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | Case 1:
% 265.86/36.78 | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | (1407) hskp6
% 265.86/36.78 | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | PRED_UNIFY: (1406), (1407) imply:
% 265.86/36.78 | | | | | | | | | | | | | | (1408) $false
% 265.86/36.78 | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | CLOSE: (1408) is inconsistent.
% 265.86/36.78 | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | Case 2:
% 265.86/36.78 | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | (1409) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.86/36.78 | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 265.86/36.78 | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | BETA: splitting (1409) gives:
% 265.86/36.78 | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | Case 1:
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | (1410) hskp12
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | PRED_UNIFY: (1383), (1410) imply:
% 265.86/36.78 | | | | | | | | | | | | | | | (1411) $false
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | CLOSE: (1411) is inconsistent.
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | Case 2:
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | (1412) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.86/36.78 | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | GROUND_INST: instantiating (1412) with a1003, simplifying with
% 265.86/36.78 | | | | | | | | | | | | | | | (4), (107), (886), (888) gives:
% 265.86/36.78 | | | | | | | | | | | | | | | (1413) c3_1(a1003)
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.78 | | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | | (1414) ~ hskp15
% 265.86/36.78 | | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (16), (21), (28), (34), (63), (96),
% 265.86/36.78 | | | | | | | | | | | | | | | | (107), (886), (887), (1373), (1374), (1375),
% 265.86/36.78 | | | | | | | | | | | | | | | | (1378), (1379), (1380), (1403), (1404), (1405),
% 265.86/36.78 | | | | | | | | | | | | | | | | (1413), (1414) are inconsistent by sub-proof #27.
% 265.86/36.78 | | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.78 | | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | | (1415) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.86/36.78 | | | | | | | | | | | | | | | | c0_1(a1026)
% 265.86/36.78 | | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (7), (8), (9), (12), (15), (20), (27),
% 265.86/36.78 | | | | | | | | | | | | | | | | (28), (29), (30), (31), (34), (49), (58), (81),
% 265.86/36.78 | | | | | | | | | | | | | | | | (84), (106), (108), (109), (886), (887), (1076),
% 265.86/36.78 | | | | | | | | | | | | | | | | (1077), (1078), (1373), (1374), (1375), (1378),
% 265.86/36.78 | | | | | | | | | | | | | | | | (1379), (1380), (1382), (1386), (1413), (1415) are
% 265.86/36.78 | | | | | | | | | | | | | | | | inconsistent by sub-proof #30.
% 265.86/36.78 | | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | End of split
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | End of split
% 265.86/36.78 | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | End of split
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | Case 2:
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | (1416) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.86/36.78 | | | | | | | | | | | | | c2_1(a1006)
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (12), (15),
% 265.86/36.78 | | | | | | | | | | | | | (16), (20), (21), (27), (28), (29), (31), (34),
% 265.86/36.78 | | | | | | | | | | | | | (39), (49), (58), (63), (77), (81), (84), (87),
% 265.86/36.78 | | | | | | | | | | | | | (96), (106), (108), (109), (886), (887), (888),
% 265.86/36.78 | | | | | | | | | | | | | (1076), (1077), (1078), (1373), (1374), (1375),
% 265.86/36.78 | | | | | | | | | | | | | (1378), (1379), (1380), (1403), (1404), (1405),
% 265.86/36.78 | | | | | | | | | | | | | (1416) are inconsistent by sub-proof #25.
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | End of split
% 265.86/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | End of split
% 265.86/36.78 | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | End of split
% 265.86/36.78 | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | Case 2:
% 265.86/36.78 | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | (1417) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.86/36.78 | | | | | | | | | | c0_1(a1019)
% 265.86/36.78 | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | ALPHA: (1417) implies:
% 265.86/36.78 | | | | | | | | | | (1418) ~ c0_1(a1019)
% 265.86/36.78 | | | | | | | | | | (1419) c2_1(a1019)
% 265.86/36.78 | | | | | | | | | | (1420) c1_1(a1019)
% 265.86/36.78 | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | REF_CLOSE: (1), (4), (8), (12), (29), (34), (35), (73),
% 265.86/36.78 | | | | | | | | | | (107), (886), (887), (888), (1378), (1379),
% 265.86/36.78 | | | | | | | | | | (1380), (1418), (1419), (1420) are inconsistent by
% 265.86/36.78 | | | | | | | | | | sub-proof #53.
% 265.86/36.78 | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | End of split
% 265.86/36.78 | | | | | | | | |
% 265.86/36.78 | | | | | | | | Case 2:
% 265.86/36.78 | | | | | | | | |
% 265.86/36.78 | | | | | | | | | (1421) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 265.86/36.78 | | | | | | | | |
% 265.86/36.78 | | | | | | | | | ALPHA: (1421) implies:
% 265.86/36.78 | | | | | | | | | (1422) ~ c2_1(a1011)
% 265.86/36.78 | | | | | | | | | (1423) c0_1(a1011)
% 265.86/36.78 | | | | | | | | | (1424) c1_1(a1011)
% 265.86/36.78 | | | | | | | | |
% 265.86/36.78 | | | | | | | | | BETA: splitting (84) gives:
% 265.86/36.78 | | | | | | | | |
% 265.86/36.78 | | | | | | | | | Case 1:
% 265.86/36.78 | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | (1425) ~ hskp12
% 265.86/36.78 | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | BETA: splitting (78) gives:
% 265.86/36.78 | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | Case 1:
% 265.86/36.78 | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | (1426) ~ hskp6
% 265.86/36.78 | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | BETA: splitting (67) gives:
% 265.86/36.78 | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | Case 1:
% 265.86/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | (1427) hskp6
% 265.86/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | PRED_UNIFY: (1426), (1427) imply:
% 265.86/36.78 | | | | | | | | | | | | (1428) $false
% 265.86/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | CLOSE: (1428) is inconsistent.
% 265.86/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | Case 2:
% 265.86/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | (1429) hskp27 | hskp14
% 265.86/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | BETA: splitting (48) gives:
% 265.86/36.78 | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | Case 1:
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | (1430) hskp6
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | PRED_UNIFY: (1426), (1430) imply:
% 265.86/36.78 | | | | | | | | | | | | | (1431) $false
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | CLOSE: (1431) is inconsistent.
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | Case 2:
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | (1432) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.86/36.78 | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | BETA: splitting (1429) gives:
% 265.86/36.78 | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | Case 1:
% 265.86/36.78 | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | (1433) hskp27
% 265.86/36.78 | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | BETA: splitting (1432) gives:
% 265.86/36.78 | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | Case 1:
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | (1434) hskp12
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | PRED_UNIFY: (1425), (1434) imply:
% 265.86/36.78 | | | | | | | | | | | | | | | (1435) $false
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | CLOSE: (1435) is inconsistent.
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | Case 2:
% 265.86/36.78 | | | | | | | | | | | | | | |
% 265.86/36.78 | | | | | | | | | | | | | | | (1436) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.86/36.79 | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (1436) with a1003, simplifying with
% 265.86/36.79 | | | | | | | | | | | | | | | (4), (107), (886), (888) gives:
% 265.86/36.79 | | | | | | | | | | | | | | | (1437) c3_1(a1003)
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | (1438) ~ hskp27
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | PRED_UNIFY: (1433), (1438) imply:
% 265.86/36.79 | | | | | | | | | | | | | | | | (1439) $false
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | CLOSE: (1439) is inconsistent.
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | (1440) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | ALPHA: (1440) implies:
% 265.86/36.79 | | | | | | | | | | | | | | | | (1441) c0_1(a1029)
% 265.86/36.79 | | | | | | | | | | | | | | | | (1442) c2_1(a1029)
% 265.86/36.79 | | | | | | | | | | | | | | | | (1443) c3_1(a1029)
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | (1444) ~ hskp17
% 265.86/36.79 | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.86/36.79 | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1445) ~ hskp15
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (7), (8), (9), (12), (20), (21), (27),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (28), (29), (31), (34), (49), (51), (53), (58),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (63), (81), (84), (96), (106), (107), (108),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (109), (886), (887), (888), (1076), (1077),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1078), (1373), (1374), (1375), (1378), (1379),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1380), (1444), (1445) are inconsistent by
% 265.86/36.79 | | | | | | | | | | | | | | | | | | sub-proof #31.
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1446) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.86/36.79 | | | | | | | | | | | | | | | | | | c0_1(a1026)
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (8), (9), (12), (15), (20), (24), (27),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (29), (30), (31), (33), (34), (49), (58), (81),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (84), (106), (108), (109), (1076), (1077), (1078),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1373), (1374), (1375), (1378), (1379), (1380),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1422), (1423), (1424), (1441), (1442), (1443),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1446) are inconsistent by sub-proof #23.
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | (1447) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 265.86/36.79 | | | | | | | | | | | | | | | | | c0_1(a1032)
% 265.86/36.79 | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | ALPHA: (1447) implies:
% 265.86/36.79 | | | | | | | | | | | | | | | | | (1448) ~ c0_1(a1032)
% 265.86/36.79 | | | | | | | | | | | | | | | | | (1449) c2_1(a1032)
% 265.86/36.79 | | | | | | | | | | | | | | | | | (1450) c3_1(a1032)
% 265.86/36.79 | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.86/36.79 | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1451) ~ hskp15
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (16), (21), (28), (34), (63), (96),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (107), (886), (887), (1373), (1374), (1375),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1378), (1379), (1380), (1437), (1448), (1449),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1450), (1451) are inconsistent by sub-proof #27.
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1452) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.86/36.79 | | | | | | | | | | | | | | | | | | c0_1(a1026)
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (8), (9), (12), (15), (20), (24), (27),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (29), (30), (31), (33), (34), (49), (58), (81),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (84), (106), (108), (109), (1076), (1077), (1078),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1373), (1374), (1375), (1378), (1379), (1380),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1422), (1423), (1424), (1441), (1442), (1443),
% 265.86/36.79 | | | | | | | | | | | | | | | | | | (1452) are inconsistent by sub-proof #23.
% 265.86/36.79 | | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | (1453) hskp14
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | PRED_UNIFY: (1381), (1453) imply:
% 265.86/36.79 | | | | | | | | | | | | | | (1454) $false
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | CLOSE: (1454) is inconsistent.
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | (1455) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.86/36.79 | | | | | | | | | | | c2_1(a1006)
% 265.86/36.79 | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (12), (15),
% 265.86/36.79 | | | | | | | | | | | (16), (20), (21), (27), (28), (29), (30), (31),
% 265.86/36.79 | | | | | | | | | | | (34), (39), (49), (51), (53), (58), (63), (77),
% 265.86/36.79 | | | | | | | | | | | (81), (84), (87), (89), (96), (106), (108), (109),
% 265.86/36.79 | | | | | | | | | | | (886), (887), (888), (1076), (1077), (1078),
% 265.86/36.79 | | | | | | | | | | | (1373), (1374), (1375), (1378), (1379), (1380),
% 265.86/36.79 | | | | | | | | | | | (1422), (1423), (1424), (1455) are inconsistent by
% 265.86/36.79 | | | | | | | | | | | sub-proof #22.
% 265.86/36.79 | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | (1456) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.86/36.79 | | | | | | | | | | c0_1(a1019)
% 265.86/36.79 | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | ALPHA: (1456) implies:
% 265.86/36.79 | | | | | | | | | | (1457) ~ c0_1(a1019)
% 265.86/36.79 | | | | | | | | | | (1458) c2_1(a1019)
% 265.86/36.79 | | | | | | | | | | (1459) c1_1(a1019)
% 265.86/36.79 | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | REF_CLOSE: (1), (4), (8), (12), (29), (34), (35), (73),
% 265.86/36.79 | | | | | | | | | | (107), (886), (887), (888), (1378), (1379),
% 265.86/36.79 | | | | | | | | | | (1380), (1457), (1458), (1459) are inconsistent by
% 265.86/36.79 | | | | | | | | | | sub-proof #53.
% 265.86/36.79 | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | |
% 265.86/36.79 | | | | | | | | End of split
% 265.86/36.79 | | | | | | | |
% 265.86/36.79 | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | |
% 265.86/36.79 | | | | | | | | (1460) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025)
% 265.86/36.79 | | | | | | | |
% 265.86/36.79 | | | | | | | | ALPHA: (1460) implies:
% 265.86/36.79 | | | | | | | | (1461) ~ c2_1(a1025)
% 265.86/36.79 | | | | | | | | (1462) ~ c3_1(a1025)
% 265.86/36.79 | | | | | | | | (1463) c0_1(a1025)
% 265.86/36.79 | | | | | | | |
% 265.86/36.79 | | | | | | | | BETA: splitting (81) gives:
% 265.86/36.79 | | | | | | | |
% 265.86/36.79 | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | |
% 265.86/36.79 | | | | | | | | | (1464) ~ hskp9
% 265.86/36.79 | | | | | | | | |
% 265.86/36.79 | | | | | | | | | BETA: splitting (84) gives:
% 265.86/36.79 | | | | | | | | |
% 265.86/36.79 | | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | (1465) ~ hskp12
% 265.86/36.79 | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | BETA: splitting (49) gives:
% 265.86/36.79 | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | (1466) hskp12
% 265.86/36.79 | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | PRED_UNIFY: (1465), (1466) imply:
% 265.86/36.79 | | | | | | | | | | | (1467) $false
% 265.86/36.79 | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | CLOSE: (1467) is inconsistent.
% 265.86/36.79 | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | (1468) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.86/36.79 | | | | | | | | | | | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.86/36.79 | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | BETA: splitting (89) gives:
% 265.86/36.79 | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | (1469) ~ hskp17
% 265.86/36.79 | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | BETA: splitting (78) gives:
% 265.86/36.79 | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | (1470) ~ hskp6
% 265.86/36.79 | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | BETA: splitting (48) gives:
% 265.86/36.79 | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | (1471) hskp6
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | PRED_UNIFY: (1470), (1471) imply:
% 265.86/36.79 | | | | | | | | | | | | | | (1472) $false
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | CLOSE: (1472) is inconsistent.
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | (1473) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.86/36.79 | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | BETA: splitting (1473) gives:
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | (1474) hskp12
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | PRED_UNIFY: (1465), (1474) imply:
% 265.86/36.79 | | | | | | | | | | | | | | | (1475) $false
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | CLOSE: (1475) is inconsistent.
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | (1476) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.86/36.79 | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | GROUND_INST: instantiating (1476) with a1003, simplifying with
% 265.86/36.79 | | | | | | | | | | | | | | | (4), (107), (886), (888) gives:
% 265.86/36.79 | | | | | | | | | | | | | | | (1477) c3_1(a1003)
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | (1478) ~ hskp15
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (7), (8), (9), (12), (20), (21), (27),
% 265.86/36.79 | | | | | | | | | | | | | | | | (28), (29), (31), (34), (49), (51), (53), (58),
% 265.86/36.79 | | | | | | | | | | | | | | | | (63), (81), (84), (96), (106), (107), (108),
% 265.86/36.79 | | | | | | | | | | | | | | | | (109), (886), (887), (888), (1076), (1077),
% 265.86/36.79 | | | | | | | | | | | | | | | | (1078), (1373), (1374), (1375), (1378), (1379),
% 265.86/36.79 | | | | | | | | | | | | | | | | (1380), (1469), (1478) are inconsistent by
% 265.86/36.79 | | | | | | | | | | | | | | | | sub-proof #31.
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | (1479) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.86/36.79 | | | | | | | | | | | | | | | | c0_1(a1026)
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (7), (14), (15), (20), (27), (28), (30),
% 265.86/36.79 | | | | | | | | | | | | | | | | (108), (109), (886), (887), (1076), (1077),
% 265.86/36.79 | | | | | | | | | | | | | | | | (1078), (1373), (1374), (1375), (1461), (1462),
% 265.86/36.79 | | | | | | | | | | | | | | | | (1463), (1464), (1468), (1477), (1479) are
% 265.86/36.79 | | | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 265.86/36.79 | | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | End of split
% 265.86/36.79 | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | Case 2:
% 265.86/36.79 | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | (1480) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.86/36.79 | | | | | | | | | | | | | c2_1(a1006)
% 265.86/36.79 | | | | | | | | | | | | |
% 265.86/36.79 | | | | | | | | | | | | | ALPHA: (1480) implies:
% 265.86/36.79 | | | | | | | | | | | | | (1481) ~ c2_1(a1006)
% 265.86/36.79 | | | | | | | | | | | | | (1482) c0_1(a1006)
% 265.86/36.79 | | | | | | | | | | | | | (1483) c3_1(a1006)
% 265.86/36.79 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (12), (15),
% 265.86/36.80 | | | | | | | | | | | | | (20), (21), (27), (28), (29), (31), (34), (39),
% 265.86/36.80 | | | | | | | | | | | | | (49), (51), (53), (58), (63), (77), (81), (84),
% 265.86/36.80 | | | | | | | | | | | | | (87), (96), (106), (107), (108), (109), (886),
% 265.86/36.80 | | | | | | | | | | | | | (887), (888), (1076), (1077), (1078), (1373),
% 265.86/36.80 | | | | | | | | | | | | | (1374), (1375), (1378), (1379), (1380), (1469),
% 265.86/36.80 | | | | | | | | | | | | | (1481), (1482), (1483) are inconsistent by
% 265.86/36.80 | | | | | | | | | | | | | sub-proof #28.
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | End of split
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | (1484) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 265.86/36.80 | | | | | | | | | | | | c0_1(a1032)
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | ALPHA: (1484) implies:
% 265.86/36.80 | | | | | | | | | | | | (1485) ~ c0_1(a1032)
% 265.86/36.80 | | | | | | | | | | | | (1486) c2_1(a1032)
% 265.86/36.80 | | | | | | | | | | | | (1487) c3_1(a1032)
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | BETA: splitting (78) gives:
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | (1488) ~ hskp6
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | BETA: splitting (48) gives:
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | (1489) hskp6
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | PRED_UNIFY: (1488), (1489) imply:
% 265.86/36.80 | | | | | | | | | | | | | | (1490) $false
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | CLOSE: (1490) is inconsistent.
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | (1491) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.86/36.80 | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | BETA: splitting (1491) gives:
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | (1492) hskp12
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | PRED_UNIFY: (1465), (1492) imply:
% 265.86/36.80 | | | | | | | | | | | | | | | (1493) $false
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | CLOSE: (1493) is inconsistent.
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | (1494) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.86/36.80 | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (1494) with a1003, simplifying with
% 265.86/36.80 | | | | | | | | | | | | | | | (4), (107), (886), (888) gives:
% 265.86/36.80 | | | | | | | | | | | | | | | (1495) c3_1(a1003)
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | (1496) ~ hskp15
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (8), (16), (21), (28), (34), (63), (96),
% 265.86/36.80 | | | | | | | | | | | | | | | | (107), (886), (887), (1373), (1374), (1375),
% 265.86/36.80 | | | | | | | | | | | | | | | | (1378), (1379), (1380), (1485), (1486), (1487),
% 265.86/36.80 | | | | | | | | | | | | | | | | (1495), (1496) are inconsistent by sub-proof #27.
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | (1497) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.86/36.80 | | | | | | | | | | | | | | | | c0_1(a1026)
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (7), (14), (15), (20), (27), (28), (30),
% 265.86/36.80 | | | | | | | | | | | | | | | | (108), (109), (886), (887), (1076), (1077),
% 265.86/36.80 | | | | | | | | | | | | | | | | (1078), (1373), (1374), (1375), (1461), (1462),
% 265.86/36.80 | | | | | | | | | | | | | | | | (1463), (1464), (1468), (1495), (1497) are
% 265.86/36.80 | | | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | End of split
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | End of split
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | End of split
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | (1498) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.86/36.80 | | | | | | | | | | | | | c2_1(a1006)
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (12), (15),
% 265.86/36.80 | | | | | | | | | | | | | (16), (20), (21), (27), (28), (29), (31), (34),
% 265.86/36.80 | | | | | | | | | | | | | (39), (49), (58), (63), (77), (81), (84), (87),
% 265.86/36.80 | | | | | | | | | | | | | (96), (106), (108), (109), (886), (887), (888),
% 265.86/36.80 | | | | | | | | | | | | | (1076), (1077), (1078), (1373), (1374), (1375),
% 265.86/36.80 | | | | | | | | | | | | | (1378), (1379), (1380), (1485), (1486), (1487),
% 265.86/36.80 | | | | | | | | | | | | | (1498) are inconsistent by sub-proof #25.
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | End of split
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | End of split
% 265.86/36.80 | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | End of split
% 265.86/36.80 | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | (1499) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.86/36.80 | | | | | | | | | | c0_1(a1019)
% 265.86/36.80 | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | ALPHA: (1499) implies:
% 265.86/36.80 | | | | | | | | | | (1500) ~ c0_1(a1019)
% 265.86/36.80 | | | | | | | | | | (1501) c2_1(a1019)
% 265.86/36.80 | | | | | | | | | | (1502) c1_1(a1019)
% 265.86/36.80 | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | REF_CLOSE: (1), (4), (8), (12), (29), (34), (35), (73),
% 265.86/36.80 | | | | | | | | | | (107), (886), (887), (888), (1378), (1379),
% 265.86/36.80 | | | | | | | | | | (1380), (1500), (1501), (1502) are inconsistent by
% 265.86/36.80 | | | | | | | | | | sub-proof #53.
% 265.86/36.80 | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | End of split
% 265.86/36.80 | | | | | | | | |
% 265.86/36.80 | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | |
% 265.86/36.80 | | | | | | | | | (1503) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 265.86/36.80 | | | | | | | | |
% 265.86/36.80 | | | | | | | | | ALPHA: (1503) implies:
% 265.86/36.80 | | | | | | | | | (1504) ~ c2_1(a1011)
% 265.86/36.80 | | | | | | | | | (1505) c0_1(a1011)
% 265.86/36.80 | | | | | | | | | (1506) c1_1(a1011)
% 265.86/36.80 | | | | | | | | |
% 265.86/36.80 | | | | | | | | | BETA: splitting (84) gives:
% 265.86/36.80 | | | | | | | | |
% 265.86/36.80 | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | (1507) ~ hskp12
% 265.86/36.80 | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | BETA: splitting (78) gives:
% 265.86/36.80 | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | (1508) ~ hskp6
% 265.86/36.80 | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | BETA: splitting (48) gives:
% 265.86/36.80 | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | (1509) hskp6
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | PRED_UNIFY: (1508), (1509) imply:
% 265.86/36.80 | | | | | | | | | | | | (1510) $false
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | CLOSE: (1510) is inconsistent.
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | (1511) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.86/36.80 | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | BETA: splitting (1511) gives:
% 265.86/36.80 | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | (1512) hskp12
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | PRED_UNIFY: (1507), (1512) imply:
% 265.86/36.80 | | | | | | | | | | | | | (1513) $false
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | CLOSE: (1513) is inconsistent.
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | (1514) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.86/36.80 | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | GROUND_INST: instantiating (1514) with a1003, simplifying with
% 265.86/36.80 | | | | | | | | | | | | | (4), (107), (886), (888) gives:
% 265.86/36.80 | | | | | | | | | | | | | (1515) c3_1(a1003)
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | BETA: splitting (96) gives:
% 265.86/36.80 | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | (1516) ~ hskp24
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | (1517) ~ hskp15
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | REF_CLOSE: (8), (63), (107), (1378), (1379), (1380), (1516),
% 265.86/36.80 | | | | | | | | | | | | | | | (1517) are inconsistent by sub-proof #84.
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | (1518) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.86/36.80 | | | | | | | | | | | | | | | c0_1(a1026)
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | ALPHA: (1518) implies:
% 265.86/36.80 | | | | | | | | | | | | | | | (1519) ~ c0_1(a1026)
% 265.86/36.80 | | | | | | | | | | | | | | | (1520) ~ c1_1(a1026)
% 265.86/36.80 | | | | | | | | | | | | | | | (1521) c2_1(a1026)
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | (1522) ~ hskp27
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | | (1523) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.86/36.80 | | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1523) with a1001, simplifying with
% 265.86/36.80 | | | | | | | | | | | | | | | | | (2), (107), (1076), (1078) gives:
% 265.86/36.80 | | | | | | | | | | | | | | | | | (1524) c0_1(a1001)
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (9), (14), (15), (27), (30), (67), (86),
% 265.86/36.80 | | | | | | | | | | | | | | | | | (107), (1076), (1077), (1373), (1374), (1375),
% 265.86/36.80 | | | | | | | | | | | | | | | | | (1504), (1505), (1506), (1508), (1519), (1520),
% 265.86/36.80 | | | | | | | | | | | | | | | | | (1521), (1522), (1524) are inconsistent by
% 265.86/36.80 | | | | | | | | | | | | | | | | | sub-proof #20.
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | | (1525) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.86/36.80 | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.86/36.80 | | | | | | | | | | | | | | | | | $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 265.86/36.80 | | | | | | | | | | | | | | | | | c3_1(v0))
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (7), (107), (886), (887), (1373), (1374),
% 265.86/36.80 | | | | | | | | | | | | | | | | | (1375), (1515), (1525) are inconsistent by
% 265.86/36.80 | | | | | | | | | | | | | | | | | sub-proof #60.
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | End of split
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | (1526) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (14), (15), (24), (27), (30), (33),
% 265.86/36.80 | | | | | | | | | | | | | | | | (1373), (1374), (1375), (1378), (1379), (1380),
% 265.86/36.80 | | | | | | | | | | | | | | | | (1461), (1462), (1463), (1504), (1505), (1506),
% 265.86/36.80 | | | | | | | | | | | | | | | | (1519), (1520), (1521), (1526) are inconsistent by
% 265.86/36.80 | | | | | | | | | | | | | | | | sub-proof #19.
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | End of split
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | End of split
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | (1527) hskp24
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | BETA: splitting (96) gives:
% 265.86/36.80 | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | (1528) ~ hskp24
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | PRED_UNIFY: (1527), (1528) imply:
% 265.86/36.80 | | | | | | | | | | | | | | | (1529) $false
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | CLOSE: (1529) is inconsistent.
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | (1530) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~
% 265.86/36.80 | | | | | | | | | | | | | | | c0_1(a1045)
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | ALPHA: (1530) implies:
% 265.86/36.80 | | | | | | | | | | | | | | | (1531) ~ c0_1(a1045)
% 265.86/36.80 | | | | | | | | | | | | | | | (1532) c3_1(a1045)
% 265.86/36.80 | | | | | | | | | | | | | | | (1533) c1_1(a1045)
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | BETA: splitting (89) gives:
% 265.86/36.80 | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | (1534) ~ hskp17
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | BETA: splitting (87) gives:
% 265.86/36.80 | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | | (1535) ~ hskp15
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (7), (8), (9), (12), (20), (21), (27),
% 265.86/36.80 | | | | | | | | | | | | | | | | | (28), (29), (31), (34), (49), (51), (53), (58),
% 265.86/36.80 | | | | | | | | | | | | | | | | | (63), (81), (84), (96), (106), (107), (108),
% 265.86/36.80 | | | | | | | | | | | | | | | | | (109), (886), (887), (888), (1076), (1077),
% 265.86/36.80 | | | | | | | | | | | | | | | | | (1078), (1373), (1374), (1375), (1378), (1379),
% 265.86/36.80 | | | | | | | | | | | | | | | | | (1380), (1534), (1535) are inconsistent by
% 265.86/36.80 | | | | | | | | | | | | | | | | | sub-proof #31.
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | | (1536) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~
% 265.86/36.80 | | | | | | | | | | | | | | | | | c0_1(a1026)
% 265.86/36.80 | | | | | | | | | | | | | | | | |
% 265.86/36.80 | | | | | | | | | | | | | | | | | ALPHA: (1536) implies:
% 265.86/36.81 | | | | | | | | | | | | | | | | | (1537) ~ c0_1(a1026)
% 265.86/36.81 | | | | | | | | | | | | | | | | | (1538) ~ c1_1(a1026)
% 265.86/36.81 | | | | | | | | | | | | | | | | | (1539) c2_1(a1026)
% 265.86/36.81 | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 265.86/36.81 | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.81 | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | (1540) ~ hskp27
% 265.86/36.81 | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 265.86/36.81 | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | (1541) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 265.86/36.81 | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (28) gives:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (1542) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1542) with a1001, simplifying with
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (2), (107), (1076), (1078) gives:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (1543) c0_1(a1001)
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (9), (14), (15), (27), (30), (67), (86),
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (107), (1076), (1077), (1373), (1374), (1375),
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (1504), (1505), (1506), (1508), (1537), (1538),
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (1539), (1540), (1543) are inconsistent by
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | sub-proof #20.
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (1544) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | c3_1(v0))
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1544) gives:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | (1545) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0))
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4), (8), (21), (29), (107), (886), (887), (888),
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | (1378), (1379), (1380), (1531), (1532), (1533),
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | (1541), (1545) are inconsistent by sub-proof #34.
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | (1546) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c3_1(v0))
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1546) with a1008, simplifying with
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | (7), (107), (1373), (1374), (1375) gives:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | (1547) $false
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1547) is inconsistent.
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | (1548) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | c0_1(v0))
% 265.86/36.81 | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (1548) gives:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (1549) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0))
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1549) with a1045, simplifying with
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (21), (107), (1531), (1532), (1533) gives:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (1550) $false
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | CLOSE: (1550) is inconsistent.
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (1551) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1551) with a1001, simplifying with
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (2), (107), (1077), (1078) gives:
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (1552) c0_1(a1001)
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (7), (9), (14), (15), (27), (30), (67), (86),
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (107), (1076), (1077), (1373), (1374), (1375),
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (1504), (1505), (1506), (1508), (1537), (1538),
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | (1539), (1540), (1552) are inconsistent by
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | | sub-proof #20.
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.81 | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | (1553) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 265.86/36.81 | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (9), (14), (15), (24), (27), (30), (33),
% 265.86/36.81 | | | | | | | | | | | | | | | | | | (1373), (1374), (1375), (1378), (1379), (1380),
% 265.86/36.81 | | | | | | | | | | | | | | | | | | (1461), (1462), (1463), (1504), (1505), (1506),
% 265.86/36.81 | | | | | | | | | | | | | | | | | | (1537), (1538), (1539), (1553) are inconsistent by
% 265.86/36.81 | | | | | | | | | | | | | | | | | | sub-proof #19.
% 265.86/36.81 | | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.81 | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | (1554) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 265.86/36.81 | | | | | | | | | | | | | | | | c0_1(a1032)
% 265.86/36.81 | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | ALPHA: (1554) implies:
% 265.86/36.81 | | | | | | | | | | | | | | | | (1555) ~ c0_1(a1032)
% 265.86/36.81 | | | | | | | | | | | | | | | | (1556) c2_1(a1032)
% 265.86/36.81 | | | | | | | | | | | | | | | | (1557) c3_1(a1032)
% 265.86/36.81 | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | | REF_CLOSE: (2), (4), (7), (8), (9), (12), (16), (20), (21),
% 265.86/36.81 | | | | | | | | | | | | | | | | (27), (28), (29), (31), (34), (49), (58), (81),
% 265.86/36.81 | | | | | | | | | | | | | | | | (84), (106), (107), (108), (109), (886), (887),
% 265.86/36.81 | | | | | | | | | | | | | | | | (888), (1076), (1077), (1078), (1373), (1374),
% 265.86/36.81 | | | | | | | | | | | | | | | | (1375), (1378), (1379), (1380), (1531), (1532),
% 265.86/36.81 | | | | | | | | | | | | | | | | (1533), (1555), (1556), (1557) are inconsistent by
% 265.86/36.81 | | | | | | | | | | | | | | | | sub-proof #26.
% 265.86/36.81 | | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | Case 2:
% 265.86/36.81 | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | (1558) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.86/36.81 | | | | | | | | | | | c2_1(a1006)
% 265.86/36.81 | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (9), (12), (15),
% 265.86/36.81 | | | | | | | | | | | (16), (20), (21), (27), (28), (29), (30), (31),
% 265.86/36.81 | | | | | | | | | | | (34), (39), (49), (51), (53), (58), (63), (77),
% 265.86/36.81 | | | | | | | | | | | (81), (84), (87), (89), (96), (106), (108), (109),
% 265.86/36.81 | | | | | | | | | | | (886), (887), (888), (1076), (1077), (1078),
% 265.86/36.81 | | | | | | | | | | | (1373), (1374), (1375), (1378), (1379), (1380),
% 265.86/36.81 | | | | | | | | | | | (1504), (1505), (1506), (1558) are inconsistent by
% 265.86/36.81 | | | | | | | | | | | sub-proof #22.
% 265.86/36.81 | | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | Case 2:
% 265.86/36.81 | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | (1559) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.86/36.81 | | | | | | | | | | c0_1(a1019)
% 265.86/36.81 | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | ALPHA: (1559) implies:
% 265.86/36.81 | | | | | | | | | | (1560) ~ c0_1(a1019)
% 265.86/36.81 | | | | | | | | | | (1561) c2_1(a1019)
% 265.86/36.81 | | | | | | | | | | (1562) c1_1(a1019)
% 265.86/36.81 | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | | REF_CLOSE: (1), (4), (8), (12), (29), (34), (35), (73),
% 265.86/36.81 | | | | | | | | | | (107), (886), (887), (888), (1378), (1379),
% 265.86/36.81 | | | | | | | | | | (1380), (1560), (1561), (1562) are inconsistent by
% 265.86/36.81 | | | | | | | | | | sub-proof #53.
% 265.86/36.81 | | | | | | | | | |
% 265.86/36.81 | | | | | | | | | End of split
% 265.86/36.81 | | | | | | | | |
% 265.86/36.81 | | | | | | | | End of split
% 265.86/36.81 | | | | | | | |
% 265.86/36.81 | | | | | | | End of split
% 265.86/36.81 | | | | | | |
% 265.86/36.81 | | | | | | End of split
% 265.86/36.81 | | | | | |
% 265.86/36.81 | | | | | End of split
% 265.86/36.81 | | | | |
% 265.86/36.81 | | | | End of split
% 265.86/36.81 | | | |
% 265.86/36.81 | | | End of split
% 265.86/36.81 | | |
% 265.86/36.81 | | End of split
% 265.86/36.81 | |
% 265.86/36.81 | Case 2:
% 265.86/36.81 | |
% 265.86/36.81 | | (1563) ~ hskp23
% 265.86/36.81 | | (1564) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 265.86/36.81 | | c1_1(v0))
% 265.86/36.81 | |
% 265.86/36.81 | | BETA: splitting (76) gives:
% 265.86/36.81 | |
% 265.86/36.81 | | Case 1:
% 265.86/36.81 | | |
% 265.86/36.81 | | | (1565) ~ hskp3
% 265.86/36.81 | | |
% 265.86/36.81 | | | BETA: splitting (60) gives:
% 265.86/36.81 | | |
% 265.86/36.81 | | | Case 1:
% 265.86/36.81 | | | |
% 265.86/36.81 | | | | (1566) hskp23
% 265.86/36.81 | | | |
% 265.86/36.81 | | | | PRED_UNIFY: (1563), (1566) imply:
% 265.86/36.81 | | | | (1567) $false
% 265.86/36.81 | | | |
% 265.86/36.81 | | | | CLOSE: (1567) is inconsistent.
% 265.86/36.81 | | | |
% 265.86/36.81 | | | Case 2:
% 265.86/36.81 | | | |
% 265.86/36.81 | | | | (1568) hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 265.86/36.81 | | | | ~ ndr1_0 | c2_1(v0))
% 265.86/36.81 | | | |
% 265.86/36.81 | | | | BETA: splitting (1568) gives:
% 265.86/36.81 | | | |
% 265.86/36.81 | | | | Case 1:
% 265.86/36.81 | | | | |
% 265.86/36.81 | | | | | (1569) hskp3
% 265.86/36.81 | | | | |
% 265.86/36.81 | | | | | PRED_UNIFY: (1565), (1569) imply:
% 265.86/36.81 | | | | | (1570) $false
% 265.86/36.81 | | | | |
% 265.86/36.81 | | | | | CLOSE: (1570) is inconsistent.
% 265.86/36.81 | | | | |
% 265.86/36.81 | | | | Case 2:
% 265.86/36.81 | | | | |
% 265.86/36.81 | | | | | (1571) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 265.86/36.81 | | | | | ndr1_0 | c2_1(v0))
% 265.86/36.81 | | | | |
% 265.86/36.81 | | | | | BETA: splitting (79) gives:
% 265.86/36.81 | | | | |
% 265.86/36.81 | | | | | Case 1:
% 265.86/36.81 | | | | | |
% 265.86/36.81 | | | | | | (1572) ~ hskp7
% 265.86/36.81 | | | | | |
% 265.86/36.81 | | | | | | BETA: splitting (42) gives:
% 265.86/36.81 | | | | | |
% 265.86/36.81 | | | | | | Case 1:
% 265.86/36.81 | | | | | | |
% 265.86/36.81 | | | | | | | (1573) hskp7
% 265.86/36.81 | | | | | | |
% 265.86/36.81 | | | | | | | PRED_UNIFY: (1572), (1573) imply:
% 265.86/36.81 | | | | | | | (1574) $false
% 265.86/36.81 | | | | | | |
% 265.86/36.81 | | | | | | | CLOSE: (1574) is inconsistent.
% 265.86/36.81 | | | | | | |
% 265.86/36.81 | | | | | | Case 2:
% 265.86/36.81 | | | | | | |
% 265.86/36.81 | | | | | | | (1575) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 265.86/36.81 | | | | | | | ~ c0_1(v0) | ~ ndr1_0)
% 265.86/36.81 | | | | | | |
% 265.86/36.81 | | | | | | | BETA: splitting (80) gives:
% 265.86/36.81 | | | | | | |
% 265.86/36.81 | | | | | | | Case 1:
% 265.86/36.81 | | | | | | | |
% 265.86/36.81 | | | | | | | | (1576) ~ hskp8
% 265.86/36.81 | | | | | | | |
% 265.86/36.81 | | | | | | | | BETA: splitting (44) gives:
% 265.86/36.81 | | | | | | | |
% 265.86/36.81 | | | | | | | | Case 1:
% 265.86/36.81 | | | | | | | | |
% 265.86/36.81 | | | | | | | | | (1577) hskp7
% 265.86/36.81 | | | | | | | | |
% 265.86/36.81 | | | | | | | | | PRED_UNIFY: (1572), (1577) imply:
% 265.86/36.81 | | | | | | | | | (1578) $false
% 265.86/36.81 | | | | | | | | |
% 265.86/36.81 | | | | | | | | | CLOSE: (1578) is inconsistent.
% 265.86/36.81 | | | | | | | | |
% 265.86/36.81 | | | | | | | | Case 2:
% 265.86/36.81 | | | | | | | | |
% 265.86/36.82 | | | | | | | | | (1579) hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.86/36.82 | | | | | | | | | ndr1_0 | c2_1(v0) | c0_1(v0))
% 265.86/36.82 | | | | | | | | |
% 265.86/36.82 | | | | | | | | | BETA: splitting (1579) gives:
% 265.86/36.82 | | | | | | | | |
% 265.86/36.82 | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | (1580) hskp8
% 265.86/36.82 | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | PRED_UNIFY: (1576), (1580) imply:
% 265.86/36.82 | | | | | | | | | | (1581) $false
% 265.86/36.82 | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | CLOSE: (1581) is inconsistent.
% 265.86/36.82 | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | (1582) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.86/36.82 | | | | | | | | | | | c2_1(v0) | c0_1(v0))
% 265.86/36.82 | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | BETA: splitting (96) gives:
% 265.86/36.82 | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | (1583) ~ hskp24
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | BETA: splitting (62) gives:
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | (1584) hskp3
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | PRED_UNIFY: (1565), (1584) imply:
% 265.86/36.82 | | | | | | | | | | | | (1585) $false
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | CLOSE: (1585) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | (1586) hskp24 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) |
% 265.86/36.82 | | | | | | | | | | | | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | BETA: splitting (1586) gives:
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | (1587) hskp24
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | PRED_UNIFY: (1583), (1587) imply:
% 265.86/36.82 | | | | | | | | | | | | | (1588) $false
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | CLOSE: (1588) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | (1589) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.86/36.82 | | | | | | | | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | BETA: splitting (78) gives:
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | (1590) ~ hskp6
% 265.86/36.82 | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.86/36.82 | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | (1591) ~ hskp29
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | BETA: splitting (71) gives:
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | (1592) hskp23
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | PRED_UNIFY: (1563), (1592) imply:
% 265.86/36.82 | | | | | | | | | | | | | | | | (1593) $false
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | CLOSE: (1593) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | (1594) hskp29 | hskp13
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | BETA: splitting (1594) gives:
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | (1595) hskp29
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | PRED_UNIFY: (1591), (1595) imply:
% 265.86/36.82 | | | | | | | | | | | | | | | | | (1596) $false
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | CLOSE: (1596) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | (1597) hskp13
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (25), (69), (85), (100), (1575), (1576),
% 265.86/36.82 | | | | | | | | | | | | | | | | | (1597) are inconsistent by sub-proof #18.
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | (1598) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | ALPHA: (1598) implies:
% 265.86/36.82 | | | | | | | | | | | | | | | (1599) ndr1_0
% 265.86/36.82 | | | | | | | | | | | | | | | (1600) c0_1(a1040)
% 265.86/36.82 | | | | | | | | | | | | | | | (1601) c3_1(a1040)
% 265.86/36.82 | | | | | | | | | | | | | | | (1602) c1_1(a1040)
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | BETA: splitting (85) gives:
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | (1603) ~ hskp13
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | BETA: splitting (50) gives:
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | (1604) hskp6
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | PRED_UNIFY: (1590), (1604) imply:
% 265.86/36.82 | | | | | | | | | | | | | | | | | (1605) $false
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | CLOSE: (1605) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | (1606) hskp13 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.86/36.82 | | | | | | | | | | | | | | | | | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | BETA: splitting (1606) gives:
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | | (1607) hskp13
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1603), (1607) imply:
% 265.86/36.82 | | | | | | | | | | | | | | | | | | (1608) $false
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | | CLOSE: (1608) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | | (1609) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.86/36.82 | | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | | REF_CLOSE: (26), (88), (1589), (1599), (1600), (1601),
% 265.86/36.82 | | | | | | | | | | | | | | | | | | (1602), (1609) are inconsistent by sub-proof #17.
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | (1610) hskp13
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | REF_CLOSE: (13), (25), (69), (85), (100), (1575), (1576),
% 265.86/36.82 | | | | | | | | | | | | | | | | (1610) are inconsistent by sub-proof #18.
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | (1611) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 265.86/36.82 | | | | | | | | | | | | | | c2_1(a1006)
% 265.86/36.82 | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | REF_CLOSE: (6), (1571), (1611) are inconsistent by sub-proof
% 265.86/36.82 | | | | | | | | | | | | | | #16.
% 265.86/36.82 | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | (1612) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~
% 265.86/36.82 | | | | | | | | | | | c0_1(a1045)
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | ALPHA: (1612) implies:
% 265.86/36.82 | | | | | | | | | | | (1613) ~ c0_1(a1045)
% 265.86/36.82 | | | | | | | | | | | (1614) ndr1_0
% 265.86/36.82 | | | | | | | | | | | (1615) c3_1(a1045)
% 265.86/36.82 | | | | | | | | | | | (1616) c1_1(a1045)
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | GROUND_INST: instantiating (1582) with a1045, simplifying with
% 265.86/36.82 | | | | | | | | | | | (21), (1613), (1614), (1616) gives:
% 265.86/36.82 | | | | | | | | | | | (1617) c2_1(a1045)
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | BETA: splitting (34) gives:
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | (1618) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.86/36.82 | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | GROUND_INST: instantiating (1618) with a1045, simplifying with
% 265.86/36.82 | | | | | | | | | | | | (21), (1614), (1615), (1616), (1617) gives:
% 265.86/36.82 | | | | | | | | | | | | (1619) $false
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | CLOSE: (1619) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | (1620) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.86/36.82 | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0)) | ! [v0: $i] :
% 265.86/36.82 | | | | | | | | | | | | ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 265.86/36.82 | | | | | | | | | | | | | c0_1(v0))
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | BETA: splitting (1620) gives:
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | (1621) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.86/36.82 | | | | | | | | | | | | | c3_1(v0) | ~ ndr1_0 | c0_1(v0))
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | GROUND_INST: instantiating (1621) with a1045, simplifying with
% 265.86/36.82 | | | | | | | | | | | | | (21), (1613), (1614), (1615), (1616) gives:
% 265.86/36.82 | | | | | | | | | | | | | (1622) $false
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | CLOSE: (1622) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | (1623) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 265.86/36.82 | | | | | | | | | | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | GROUND_INST: instantiating (1623) with a1045, simplifying with
% 265.86/36.82 | | | | | | | | | | | | | (21), (1613), (1614), (1615), (1617) gives:
% 265.86/36.82 | | | | | | | | | | | | | (1624) $false
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | CLOSE: (1624) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | End of split
% 265.86/36.82 | | | | | | | | |
% 265.86/36.82 | | | | | | | | End of split
% 265.86/36.82 | | | | | | | |
% 265.86/36.82 | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | |
% 265.86/36.82 | | | | | | | | (1625) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 265.86/36.82 | | | | | | | |
% 265.86/36.82 | | | | | | | | REF_CLOSE: (8), (1564), (1625) are inconsistent by sub-proof
% 265.86/36.82 | | | | | | | | #15.
% 265.86/36.82 | | | | | | | |
% 265.86/36.82 | | | | | | | End of split
% 265.86/36.82 | | | | | | |
% 265.86/36.82 | | | | | | End of split
% 265.86/36.82 | | | | | |
% 265.86/36.82 | | | | | Case 2:
% 265.86/36.82 | | | | | |
% 265.86/36.82 | | | | | | (1626) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~ c3_1(a1008)
% 265.86/36.82 | | | | | |
% 265.86/36.82 | | | | | | ALPHA: (1626) implies:
% 265.86/36.82 | | | | | | (1627) ~ c3_1(a1008)
% 265.86/36.82 | | | | | | (1628) ~ c1_1(a1008)
% 265.86/36.82 | | | | | | (1629) c2_1(a1008)
% 265.86/36.82 | | | | | |
% 265.86/36.82 | | | | | | BETA: splitting (75) gives:
% 265.86/36.82 | | | | | |
% 265.86/36.82 | | | | | | Case 1:
% 265.86/36.82 | | | | | | |
% 265.86/36.82 | | | | | | | (1630) ~ hskp2
% 265.86/36.82 | | | | | | |
% 265.86/36.82 | | | | | | | BETA: splitting (81) gives:
% 265.86/36.82 | | | | | | |
% 265.86/36.82 | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | |
% 265.86/36.82 | | | | | | | | (1631) ~ hskp9
% 265.86/36.82 | | | | | | | |
% 265.86/36.82 | | | | | | | | BETA: splitting (80) gives:
% 265.86/36.82 | | | | | | | |
% 265.86/36.82 | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | |
% 265.86/36.82 | | | | | | | | | (1632) ~ hskp8
% 265.86/36.82 | | | | | | | | |
% 265.86/36.82 | | | | | | | | | BETA: splitting (83) gives:
% 265.86/36.82 | | | | | | | | |
% 265.86/36.82 | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | (1633) ~ hskp11
% 265.86/36.82 | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | BETA: splitting (96) gives:
% 265.86/36.82 | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | (1634) ~ hskp24
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | REF_CLOSE: (6), (7), (14), (21), (22), (23), (24), (26),
% 265.86/36.82 | | | | | | | | | | | (28), (46), (62), (64), (65), (67), (72), (78),
% 265.86/36.82 | | | | | | | | | | | (86), (96), (97), (98), (99), (101), (1565),
% 265.86/36.82 | | | | | | | | | | | (1571), (1627), (1628), (1629), (1632), (1633),
% 265.86/36.82 | | | | | | | | | | | (1634) are inconsistent by sub-proof #13.
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | (1635) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~
% 265.86/36.82 | | | | | | | | | | | c0_1(a1045)
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | ALPHA: (1635) implies:
% 265.86/36.82 | | | | | | | | | | | (1636) ~ c0_1(a1045)
% 265.86/36.82 | | | | | | | | | | | (1637) c3_1(a1045)
% 265.86/36.82 | | | | | | | | | | | (1638) c1_1(a1045)
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | BETA: splitting (85) gives:
% 265.86/36.82 | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | (1639) ~ hskp13
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | BETA: splitting (71) gives:
% 265.86/36.82 | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | (1640) hskp23
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | PRED_UNIFY: (1563), (1640) imply:
% 265.86/36.82 | | | | | | | | | | | | | (1641) $false
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | CLOSE: (1641) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | (1642) hskp29 | hskp13
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | BETA: splitting (1642) gives:
% 265.86/36.82 | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | (1643) hskp29
% 265.86/36.82 | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.86/36.82 | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | (1644) ~ hskp29
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | PRED_UNIFY: (1643), (1644) imply:
% 265.86/36.82 | | | | | | | | | | | | | | | (1645) $false
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | CLOSE: (1645) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | (1646) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | ALPHA: (1646) implies:
% 265.86/36.82 | | | | | | | | | | | | | | | (1647) c0_1(a1040)
% 265.86/36.82 | | | | | | | | | | | | | | | (1648) c3_1(a1040)
% 265.86/36.82 | | | | | | | | | | | | | | | (1649) c1_1(a1040)
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | BETA: splitting (100) gives:
% 265.86/36.82 | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | (1650) ~ hskp28
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | BETA: splitting (69) gives:
% 265.86/36.82 | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | (1651) hskp8
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | PRED_UNIFY: (1632), (1651) imply:
% 265.86/36.82 | | | | | | | | | | | | | | | | | (1652) $false
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | CLOSE: (1652) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | (1653) hskp28 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) |
% 265.86/36.82 | | | | | | | | | | | | | | | | | ~ ndr1_0 | c1_1(v0) | c2_1(v0))
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | BETA: splitting (1653) gives:
% 265.86/36.82 | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | | (1654) hskp28
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1650), (1654) imply:
% 265.86/36.82 | | | | | | | | | | | | | | | | | | (1655) $false
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | | CLOSE: (1655) is inconsistent.
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | | (1656) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.86/36.82 | | | | | | | | | | | | | | | | | | | c1_1(v0) | c2_1(v0))
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.82 | | | | | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 265.86/36.82 | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1657) ~ hskp14
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1658) ~ hskp12
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (14), (15), (16), (19), (21), (22),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (24), (31), (34), (39), (40), (46), (48), (49),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (52), (54), (58), (61), (64), (67), (77), (78),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (86), (87), (89), (94), (97), (99), (1563),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1564), (1565), (1631), (1633), (1636), (1637),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1638), (1656), (1657), (1658) are inconsistent by
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1659) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | c0_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | ALPHA: (1659) implies:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1660) ~ c0_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1661) ndr1_0
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1662) c2_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1663) c1_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (12), (21), (26), (31), (34), (37), (46),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (74), (88), (1630), (1633), (1636), (1637),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1638), (1647), (1648), (1649), (1660), (1661),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1662), (1663) are inconsistent by sub-proof #9.
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1664) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | c2_1(a1025)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | ALPHA: (1664) implies:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1665) ~ c2_1(a1025)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1666) ~ c3_1(a1025)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1667) ndr1_0
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1668) c0_1(a1025)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1669) ~ hskp12
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14), (22), (48), (64), (78), (97), (1565),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1571), (1665), (1666), (1667), (1668), (1669) are
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1670) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | c0_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | ALPHA: (1670) implies:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1671) ~ c0_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1672) c2_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1673) c1_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (12), (21), (26), (31), (34), (37), (46),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (74), (88), (1630), (1633), (1636), (1637),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1638), (1647), (1648), (1649), (1667), (1671),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1672), (1673) are inconsistent by sub-proof #9.
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | (1674) c1_1(a1033) & c2_1(a1033) & c0_1(a1033) & ndr1_0
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | ALPHA: (1674) implies:
% 265.86/36.83 | | | | | | | | | | | | | | | | (1675) ndr1_0
% 265.86/36.83 | | | | | | | | | | | | | | | | (1676) c0_1(a1033)
% 265.86/36.83 | | | | | | | | | | | | | | | | (1677) c2_1(a1033)
% 265.86/36.83 | | | | | | | | | | | | | | | | (1678) c1_1(a1033)
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | (1679) ~ hskp12
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | REF_CLOSE: (25), (49), (1631), (1675), (1676), (1677),
% 265.86/36.83 | | | | | | | | | | | | | | | | | (1678), (1679) are inconsistent by sub-proof #7.
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | (1680) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.86/36.83 | | | | | | | | | | | | | | | | | c0_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | ALPHA: (1680) implies:
% 265.86/36.83 | | | | | | | | | | | | | | | | | (1681) ~ c0_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | | (1682) c2_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | | (1683) c1_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (12), (21), (26), (31), (34), (37), (46),
% 265.86/36.83 | | | | | | | | | | | | | | | | | (74), (88), (1630), (1633), (1636), (1637),
% 265.86/36.83 | | | | | | | | | | | | | | | | | (1638), (1647), (1648), (1649), (1675), (1681),
% 265.86/36.83 | | | | | | | | | | | | | | | | | (1682), (1683) are inconsistent by sub-proof #9.
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | (1684) hskp13
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | PRED_UNIFY: (1639), (1684) imply:
% 265.86/36.83 | | | | | | | | | | | | | | (1685) $false
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | CLOSE: (1685) is inconsistent.
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | (1686) c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~
% 265.86/36.83 | | | | | | | | | | | | c2_1(a1023)
% 265.86/36.83 | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | ALPHA: (1686) implies:
% 265.86/36.83 | | | | | | | | | | | | (1687) ~ c2_1(a1023)
% 265.86/36.83 | | | | | | | | | | | | (1688) ~ c1_1(a1023)
% 265.86/36.83 | | | | | | | | | | | | (1689) ndr1_0
% 265.86/36.83 | | | | | | | | | | | | (1690) c3_1(a1023)
% 265.86/36.83 | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | BETA: splitting (84) gives:
% 265.86/36.83 | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | (1691) ~ hskp12
% 265.86/36.83 | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | BETA: splitting (49) gives:
% 265.86/36.83 | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | (1692) hskp12
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | PRED_UNIFY: (1691), (1692) imply:
% 265.86/36.83 | | | | | | | | | | | | | | (1693) $false
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | CLOSE: (1693) is inconsistent.
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | (1694) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.86/36.83 | | | | | | | | | | | | | | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | BETA: splitting (1694) gives:
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | (1695) hskp9
% 265.86/36.83 | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | PRED_UNIFY: (1631), (1695) imply:
% 265.86/36.83 | | | | | | | | | | | | | | | (1696) $false
% 265.86/36.83 | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | CLOSE: (1696) is inconsistent.
% 265.86/36.83 | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | (1697) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.86/36.83 | | | | | | | | | | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 265.86/36.83 | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | REF_CLOSE: (13), (25), (69), (100), (1632), (1687), (1688),
% 265.86/36.83 | | | | | | | | | | | | | | | (1689), (1690), (1697) are inconsistent by
% 265.86/36.83 | | | | | | | | | | | | | | | sub-proof #94.
% 265.86/36.83 | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | (1698) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.86/36.83 | | | | | | | | | | | | | c0_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | ALPHA: (1698) implies:
% 265.86/36.83 | | | | | | | | | | | | | (1699) ~ c0_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | (1700) c2_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | | (1701) c1_1(a1019)
% 265.86/36.83 | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 265.86/36.83 | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | (1702) ~ hskp29
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 265.86/36.83 | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | (1703) ~ hskp25
% 265.86/36.83 | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | BETA: splitting (64) gives:
% 265.86/36.83 | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | (1704) hskp3
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | PRED_UNIFY: (1565), (1704) imply:
% 265.86/36.83 | | | | | | | | | | | | | | | | (1705) $false
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | CLOSE: (1705) is inconsistent.
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | (1706) hskp25 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) |
% 265.86/36.83 | | | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0) | c2_1(v0))
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | BETA: splitting (1706) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | (1707) hskp25
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | PRED_UNIFY: (1703), (1707) imply:
% 265.86/36.83 | | | | | | | | | | | | | | | | | (1708) $false
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | CLOSE: (1708) is inconsistent.
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | (1709) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 265.86/36.83 | | | | | | | | | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | BETA: splitting (82) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | (1710) ~ hskp10
% 265.86/36.83 | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | BETA: splitting (45) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1711) hskp10
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1710), (1711) imply:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1712) $false
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | CLOSE: (1712) is inconsistent.
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1713) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | ~ ndr1_0 | c2_1(v0) | c0_1(v0))
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (1713) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1714) hskp9
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (1631), (1714) imply:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1715) $false
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | CLOSE: (1715) is inconsistent.
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1716) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0))
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1716) with a1045, simplifying with
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (21), (1636), (1638), (1689) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1717) c2_1(a1045)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (21), (34), (46), (1633), (1636), (1637),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1638), (1689), (1699), (1700), (1701), (1717) are
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #6.
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.83 | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | (1718) c0_1(a1012) & ndr1_0 & ~ c1_1(a1012) & ~
% 265.86/36.83 | | | | | | | | | | | | | | | | | | c3_1(a1012)
% 265.86/36.83 | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | ALPHA: (1718) implies:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | (1719) ~ c3_1(a1012)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | (1720) ~ c1_1(a1012)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | (1721) c0_1(a1012)
% 265.86/36.83 | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1722) ~ hskp27
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14), (67), (78), (86), (1571), (1709),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1722) are inconsistent by sub-proof #14.
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1723) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | ALPHA: (1723) implies:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1724) c0_1(a1029)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1725) c2_1(a1029)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | (1726) c3_1(a1029)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1727) ~ hskp21
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (70), (1689), (1702), (1719), (1720),
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1721), (1727) are inconsistent by sub-proof #36.
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1728) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | c0_1(a1041)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1564) with a1029, simplifying with
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (24), (1689), (1724), (1726) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | (1729) c1_1(a1029)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | BETA: splitting (32) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | | (1730) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0)
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1730) with a1029, simplifying with
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | | (24), (1689), (1725), (1726), (1729) gives:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | | (1731) $false
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1731) is inconsistent.
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.83 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | (1732) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | c2_1(v0))
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1732) gives:
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | (1733) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1733) with a1019, simplifying with
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | (12), (1689), (1699), (1701) gives:
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | (1734) c3_1(a1019)
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (34), (1689), (1699), (1700), (1701), (1734)
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #141.
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | (1735) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | | c1_1(v0) | c2_1(v0))
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (1735) with a1023, simplifying with
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | (13), (1687), (1688), (1689), (1690) gives:
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | (1736) $false
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1736) is inconsistent.
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | (1737) c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~
% 265.86/36.84 | | | | | | | | | | | | | | | c0_1(a1048)
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | ALPHA: (1737) implies:
% 265.86/36.84 | | | | | | | | | | | | | | | (1738) ~ c0_1(a1048)
% 265.86/36.84 | | | | | | | | | | | | | | | (1739) ~ c3_1(a1048)
% 265.86/36.84 | | | | | | | | | | | | | | | (1740) c1_1(a1048)
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | REF_CLOSE: (21), (22), (46), (1633), (1636), (1637), (1638),
% 265.86/36.84 | | | | | | | | | | | | | | | (1689), (1738), (1739), (1740) are inconsistent by
% 265.86/36.84 | | | | | | | | | | | | | | | sub-proof #105.
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | (1741) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | ALPHA: (1741) implies:
% 265.86/36.84 | | | | | | | | | | | | | | (1742) c0_1(a1040)
% 265.86/36.84 | | | | | | | | | | | | | | (1743) c3_1(a1040)
% 265.86/36.84 | | | | | | | | | | | | | | (1744) c1_1(a1040)
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | REF_CLOSE: (2), (12), (21), (26), (31), (34), (37), (46),
% 265.86/36.84 | | | | | | | | | | | | | | (74), (88), (1630), (1633), (1636), (1637),
% 265.86/36.84 | | | | | | | | | | | | | | (1638), (1689), (1699), (1700), (1701), (1742),
% 265.86/36.84 | | | | | | | | | | | | | | (1743), (1744) are inconsistent by sub-proof #9.
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | (1745) c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~
% 265.86/36.84 | | | | | | | | | | c0_1(a1015)
% 265.86/36.84 | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | ALPHA: (1745) implies:
% 265.86/36.84 | | | | | | | | | | (1746) ~ c0_1(a1015)
% 265.86/36.84 | | | | | | | | | | (1747) ~ c1_1(a1015)
% 265.86/36.84 | | | | | | | | | | (1748) c3_1(a1015)
% 265.86/36.84 | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | REF_CLOSE: (7), (11), (21), (23), (26), (28), (34), (62),
% 265.86/36.84 | | | | | | | | | | (65), (72), (88), (96), (98), (101), (1565),
% 265.86/36.84 | | | | | | | | | | (1627), (1628), (1629), (1632), (1746), (1747),
% 265.86/36.84 | | | | | | | | | | (1748) are inconsistent by sub-proof #5.
% 265.86/36.84 | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | |
% 265.86/36.84 | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | |
% 265.86/36.84 | | | | | | | | | (1749) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 265.86/36.84 | | | | | | | | |
% 265.86/36.84 | | | | | | | | | REF_CLOSE: (8), (1564), (1749) are inconsistent by sub-proof
% 265.86/36.84 | | | | | | | | | #15.
% 265.86/36.84 | | | | | | | | |
% 265.86/36.84 | | | | | | | | End of split
% 265.86/36.84 | | | | | | | |
% 265.86/36.84 | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | |
% 265.86/36.84 | | | | | | | | (1750) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 265.86/36.84 | | | | | | | |
% 265.86/36.84 | | | | | | | | ALPHA: (1750) implies:
% 265.86/36.84 | | | | | | | | (1751) ~ c2_1(a1011)
% 265.86/36.84 | | | | | | | | (1752) ndr1_0
% 265.86/36.84 | | | | | | | | (1753) c0_1(a1011)
% 265.86/36.84 | | | | | | | | (1754) c1_1(a1011)
% 265.86/36.84 | | | | | | | |
% 265.86/36.84 | | | | | | | | REF_CLOSE: (7), (8), (9), (11), (22), (23), (28), (46), (64),
% 265.86/36.84 | | | | | | | | (65), (80), (83), (97), (98), (1564), (1565), (1571),
% 265.86/36.84 | | | | | | | | (1627), (1628), (1629), (1751), (1752), (1753),
% 265.86/36.84 | | | | | | | | (1754) are inconsistent by sub-proof #4.
% 265.86/36.84 | | | | | | | |
% 265.86/36.84 | | | | | | | End of split
% 265.86/36.84 | | | | | | |
% 265.86/36.84 | | | | | | Case 2:
% 265.86/36.84 | | | | | | |
% 265.86/36.84 | | | | | | | (1755) c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~ c1_1(a1002)
% 265.86/36.84 | | | | | | |
% 265.86/36.84 | | | | | | | ALPHA: (1755) implies:
% 265.86/36.84 | | | | | | | (1756) ~ c1_1(a1002)
% 265.86/36.84 | | | | | | | (1757) c0_1(a1002)
% 265.86/36.84 | | | | | | | (1758) c2_1(a1002)
% 265.86/36.84 | | | | | | |
% 265.86/36.84 | | | | | | | BETA: splitting (81) gives:
% 265.86/36.84 | | | | | | |
% 265.86/36.84 | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | |
% 265.86/36.84 | | | | | | | | (1759) ~ hskp9
% 265.86/36.84 | | | | | | | |
% 265.86/36.84 | | | | | | | | BETA: splitting (80) gives:
% 265.86/36.84 | | | | | | | |
% 265.86/36.84 | | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | | |
% 265.86/36.84 | | | | | | | | | (1760) ~ hskp8
% 265.86/36.84 | | | | | | | | |
% 265.86/36.84 | | | | | | | | | BETA: splitting (83) gives:
% 265.86/36.84 | | | | | | | | |
% 265.86/36.84 | | | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | (1761) ~ hskp11
% 265.86/36.84 | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | BETA: splitting (96) gives:
% 265.86/36.84 | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | (1762) ~ hskp24
% 265.86/36.84 | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | REF_CLOSE: (6), (7), (14), (21), (22), (23), (24), (26),
% 265.86/36.84 | | | | | | | | | | | (28), (46), (62), (64), (65), (67), (72), (78),
% 265.86/36.84 | | | | | | | | | | | (86), (96), (97), (98), (99), (101), (1565),
% 265.86/36.84 | | | | | | | | | | | (1571), (1627), (1628), (1629), (1760), (1761),
% 265.86/36.84 | | | | | | | | | | | (1762) are inconsistent by sub-proof #13.
% 265.86/36.84 | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | (1763) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~
% 265.86/36.84 | | | | | | | | | | | c0_1(a1045)
% 265.86/36.84 | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | ALPHA: (1763) implies:
% 265.86/36.84 | | | | | | | | | | | (1764) ~ c0_1(a1045)
% 265.86/36.84 | | | | | | | | | | | (1765) c3_1(a1045)
% 265.86/36.84 | | | | | | | | | | | (1766) c1_1(a1045)
% 265.86/36.84 | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | BETA: splitting (100) gives:
% 265.86/36.84 | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | (1767) ~ hskp28
% 265.86/36.84 | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | BETA: splitting (69) gives:
% 265.86/36.84 | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | (1768) hskp8
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | PRED_UNIFY: (1760), (1768) imply:
% 265.86/36.84 | | | | | | | | | | | | | (1769) $false
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | CLOSE: (1769) is inconsistent.
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | (1770) hskp28 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) |
% 265.86/36.84 | | | | | | | | | | | | | ~ ndr1_0 | c1_1(v0) | c2_1(v0))
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | BETA: splitting (1770) gives:
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | (1771) hskp28
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | PRED_UNIFY: (1767), (1771) imply:
% 265.86/36.84 | | | | | | | | | | | | | | (1772) $false
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | CLOSE: (1772) is inconsistent.
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | (1773) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 265.86/36.84 | | | | | | | | | | | | | | | c1_1(v0) | c2_1(v0))
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | BETA: splitting (86) gives:
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | (1774) ~ hskp14
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | (1775) ~ hskp12
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | REF_CLOSE: (5), (6), (14), (15), (16), (19), (21), (22),
% 265.86/36.84 | | | | | | | | | | | | | | | | (24), (31), (34), (39), (40), (46), (48), (49),
% 265.86/36.84 | | | | | | | | | | | | | | | | (52), (54), (58), (61), (64), (67), (77), (78),
% 265.86/36.84 | | | | | | | | | | | | | | | | (86), (87), (89), (94), (97), (99), (1563),
% 265.86/36.84 | | | | | | | | | | | | | | | | (1564), (1565), (1759), (1761), (1764), (1765),
% 265.86/36.84 | | | | | | | | | | | | | | | | (1766), (1773), (1774), (1775) are inconsistent by
% 265.86/36.84 | | | | | | | | | | | | | | | | sub-proof #11.
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | (1776) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.86/36.84 | | | | | | | | | | | | | | | | c0_1(a1019)
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | REF_CLOSE: (3), (6), (12), (14), (19), (21), (24), (27),
% 265.86/36.84 | | | | | | | | | | | | | | | | (32), (34), (46), (57), (67), (78), (86), (88),
% 265.86/36.84 | | | | | | | | | | | | | | | | (92), (94), (99), (1564), (1571), (1756), (1757),
% 265.86/36.84 | | | | | | | | | | | | | | | | (1758), (1761), (1764), (1765), (1766), (1776) are
% 265.86/36.84 | | | | | | | | | | | | | | | | inconsistent by sub-proof #2.
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | (1777) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~
% 265.86/36.84 | | | | | | | | | | | | | | | c2_1(a1025)
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | ALPHA: (1777) implies:
% 265.86/36.84 | | | | | | | | | | | | | | | (1778) ~ c2_1(a1025)
% 265.86/36.84 | | | | | | | | | | | | | | | (1779) ~ c3_1(a1025)
% 265.86/36.84 | | | | | | | | | | | | | | | (1780) ndr1_0
% 265.86/36.84 | | | | | | | | | | | | | | | (1781) c0_1(a1025)
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | BETA: splitting (84) gives:
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | (1782) ~ hskp12
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | REF_CLOSE: (6), (14), (22), (48), (64), (78), (97), (1565),
% 265.86/36.84 | | | | | | | | | | | | | | | | (1571), (1778), (1779), (1780), (1781), (1782) are
% 265.86/36.84 | | | | | | | | | | | | | | | | inconsistent by sub-proof #8.
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | (1783) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.86/36.84 | | | | | | | | | | | | | | | | c0_1(a1019)
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | ALPHA: (1783) implies:
% 265.86/36.84 | | | | | | | | | | | | | | | | (1784) ~ c0_1(a1019)
% 265.86/36.84 | | | | | | | | | | | | | | | | (1785) c2_1(a1019)
% 265.86/36.84 | | | | | | | | | | | | | | | | (1786) c1_1(a1019)
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | | REF_CLOSE: (3), (12), (14), (27), (34), (88), (1756), (1757),
% 265.86/36.84 | | | | | | | | | | | | | | | | (1758), (1778), (1779), (1780), (1781), (1784),
% 265.86/36.84 | | | | | | | | | | | | | | | | (1785), (1786) are inconsistent by sub-proof #102.
% 265.86/36.84 | | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | (1787) c1_1(a1033) & c2_1(a1033) & c0_1(a1033) & ndr1_0
% 265.86/36.84 | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | ALPHA: (1787) implies:
% 265.86/36.84 | | | | | | | | | | | | (1788) ndr1_0
% 265.86/36.84 | | | | | | | | | | | | (1789) c0_1(a1033)
% 265.86/36.84 | | | | | | | | | | | | (1790) c2_1(a1033)
% 265.86/36.84 | | | | | | | | | | | | (1791) c1_1(a1033)
% 265.86/36.84 | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | BETA: splitting (84) gives:
% 265.86/36.84 | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | Case 1:
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | (1792) ~ hskp12
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | REF_CLOSE: (25), (49), (1759), (1788), (1789), (1790),
% 265.86/36.84 | | | | | | | | | | | | | (1791), (1792) are inconsistent by sub-proof #7.
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | (1793) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~
% 265.86/36.84 | | | | | | | | | | | | | c0_1(a1019)
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | | REF_CLOSE: (3), (6), (12), (14), (19), (21), (24), (27),
% 265.86/36.84 | | | | | | | | | | | | | (32), (34), (46), (57), (67), (78), (86), (88),
% 265.86/36.84 | | | | | | | | | | | | | (92), (94), (99), (1564), (1571), (1756), (1757),
% 265.86/36.84 | | | | | | | | | | | | | (1758), (1761), (1764), (1765), (1766), (1793) are
% 265.86/36.84 | | | | | | | | | | | | | inconsistent by sub-proof #2.
% 265.86/36.84 | | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | End of split
% 265.86/36.84 | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | Case 2:
% 265.86/36.84 | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | (1794) c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~
% 265.86/36.84 | | | | | | | | | | c0_1(a1015)
% 265.86/36.84 | | | | | | | | | |
% 265.86/36.84 | | | | | | | | | | ALPHA: (1794) implies:
% 265.86/36.85 | | | | | | | | | | (1795) ~ c0_1(a1015)
% 265.86/36.85 | | | | | | | | | | (1796) ~ c1_1(a1015)
% 265.86/36.85 | | | | | | | | | | (1797) c3_1(a1015)
% 265.86/36.85 | | | | | | | | | |
% 265.86/36.85 | | | | | | | | | | REF_CLOSE: (7), (11), (21), (23), (26), (28), (34), (62),
% 265.86/36.85 | | | | | | | | | | (65), (72), (88), (96), (98), (101), (1565),
% 265.86/36.85 | | | | | | | | | | (1627), (1628), (1629), (1760), (1795), (1796),
% 265.86/36.85 | | | | | | | | | | (1797) are inconsistent by sub-proof #5.
% 265.86/36.85 | | | | | | | | | |
% 265.86/36.85 | | | | | | | | | End of split
% 265.86/36.85 | | | | | | | | |
% 265.86/36.85 | | | | | | | | Case 2:
% 265.86/36.85 | | | | | | | | |
% 265.86/36.85 | | | | | | | | | (1798) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 265.86/36.85 | | | | | | | | |
% 265.86/36.85 | | | | | | | | | REF_CLOSE: (8), (1564), (1798) are inconsistent by sub-proof
% 265.86/36.85 | | | | | | | | | #15.
% 265.86/36.85 | | | | | | | | |
% 265.86/36.85 | | | | | | | | End of split
% 265.86/36.85 | | | | | | | |
% 265.86/36.85 | | | | | | | Case 2:
% 265.86/36.85 | | | | | | | |
% 265.86/36.85 | | | | | | | | (1799) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 265.86/36.85 | | | | | | | |
% 265.86/36.85 | | | | | | | | ALPHA: (1799) implies:
% 265.86/36.85 | | | | | | | | (1800) ~ c2_1(a1011)
% 265.86/36.85 | | | | | | | | (1801) ndr1_0
% 265.86/36.85 | | | | | | | | (1802) c0_1(a1011)
% 265.86/36.85 | | | | | | | | (1803) c1_1(a1011)
% 265.86/36.85 | | | | | | | |
% 266.12/36.85 | | | | | | | | REF_CLOSE: (7), (8), (9), (11), (22), (23), (28), (46), (64),
% 266.12/36.85 | | | | | | | | (65), (80), (83), (97), (98), (1564), (1565), (1571),
% 266.12/36.85 | | | | | | | | (1627), (1628), (1629), (1800), (1801), (1802),
% 266.12/36.85 | | | | | | | | (1803) are inconsistent by sub-proof #4.
% 266.12/36.85 | | | | | | | |
% 266.12/36.85 | | | | | | | End of split
% 266.12/36.85 | | | | | | |
% 266.12/36.85 | | | | | | End of split
% 266.12/36.85 | | | | | |
% 266.12/36.85 | | | | | End of split
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | End of split
% 266.12/36.85 | | | |
% 266.12/36.85 | | | End of split
% 266.12/36.85 | | |
% 266.12/36.85 | | Case 2:
% 266.12/36.85 | | |
% 266.12/36.85 | | | (1804) c1_1(a1003) & ndr1_0 & ~ c2_1(a1003) & ~ c0_1(a1003)
% 266.12/36.85 | | |
% 266.12/36.85 | | | ALPHA: (1804) implies:
% 266.12/36.85 | | | (1805) ~ c0_1(a1003)
% 266.12/36.85 | | | (1806) ~ c2_1(a1003)
% 266.12/36.85 | | | (1807) ndr1_0
% 266.12/36.85 | | | (1808) c1_1(a1003)
% 266.12/36.85 | | |
% 266.12/36.85 | | | BETA: splitting (79) gives:
% 266.12/36.85 | | |
% 266.12/36.85 | | | Case 1:
% 266.12/36.85 | | | |
% 266.12/36.85 | | | | (1809) ~ hskp7
% 266.12/36.85 | | | |
% 266.12/36.85 | | | | BETA: splitting (80) gives:
% 266.12/36.85 | | | |
% 266.12/36.85 | | | | Case 1:
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | | (1810) ~ hskp8
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | | REF_CLOSE: (4), (44), (1805), (1806), (1807), (1808), (1809), (1810)
% 266.12/36.85 | | | | | are inconsistent by sub-proof #67.
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | Case 2:
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | | (1811) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | | REF_CLOSE: (8), (1564), (1811) are inconsistent by sub-proof #1.
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | End of split
% 266.12/36.85 | | | |
% 266.12/36.85 | | | Case 2:
% 266.12/36.85 | | | |
% 266.12/36.85 | | | | (1812) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~ c3_1(a1008)
% 266.12/36.85 | | | |
% 266.12/36.85 | | | | ALPHA: (1812) implies:
% 266.12/36.85 | | | | (1813) ~ c3_1(a1008)
% 266.12/36.85 | | | | (1814) ~ c1_1(a1008)
% 266.12/36.85 | | | | (1815) c2_1(a1008)
% 266.12/36.85 | | | |
% 266.12/36.85 | | | | BETA: splitting (80) gives:
% 266.12/36.85 | | | |
% 266.12/36.85 | | | | Case 1:
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | | (1816) ~ hskp8
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | | REF_CLOSE: (4), (7), (43), (1805), (1806), (1807), (1808), (1813),
% 266.12/36.85 | | | | | (1814), (1815), (1816) are inconsistent by sub-proof #66.
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | Case 2:
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | | (1817) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | | REF_CLOSE: (8), (1564), (1817) are inconsistent by sub-proof #1.
% 266.12/36.85 | | | | |
% 266.12/36.85 | | | | End of split
% 266.12/36.85 | | | |
% 266.12/36.85 | | | End of split
% 266.12/36.85 | | |
% 266.12/36.85 | | End of split
% 266.12/36.85 | |
% 266.12/36.85 | End of split
% 266.12/36.85 |
% 266.12/36.85 End of proof
% 266.12/36.85
% 266.12/36.85 Sub-proof #1 shows that the following formulas are inconsistent:
% 266.12/36.85 ----------------------------------------------------------------
% 266.12/36.85 (1) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 266.12/36.85 (2) $i(a1010)
% 266.12/36.85 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.12/36.85 c1_1(v0))
% 266.12/36.85
% 266.12/36.85 Begin of proof
% 266.12/36.85 |
% 266.12/36.85 | ALPHA: (1) implies:
% 266.12/36.85 | (4) ~ c1_1(a1010)
% 266.12/36.85 | (5) ndr1_0
% 266.12/36.85 | (6) c0_1(a1010)
% 266.12/36.85 | (7) c3_1(a1010)
% 266.12/36.85 |
% 266.12/36.85 | GROUND_INST: instantiating (3) with a1010, simplifying with (2), (4), (5),
% 266.12/36.85 | (6), (7) gives:
% 266.12/36.85 | (8) $false
% 266.12/36.85 |
% 266.12/36.85 | CLOSE: (8) is inconsistent.
% 266.12/36.85 |
% 266.12/36.85 End of proof
% 266.12/36.85
% 266.12/36.85 Sub-proof #2 shows that the following formulas are inconsistent:
% 266.12/36.85 ----------------------------------------------------------------
% 266.12/36.85 (1) $i(a1043)
% 266.12/36.85 (2) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019)
% 266.12/36.85 (3) ~ hskp22 | (c0_1(a1043) & ndr1_0 & ~ c1_1(a1043) & ~ c2_1(a1043))
% 266.12/36.85 (4) $i(a1045)
% 266.12/36.85 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.12/36.85 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.12/36.85 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.12/36.85 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.12/36.85 (6) $i(a1019)
% 266.12/36.85 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.12/36.85 c2_1(v0))
% 266.12/36.85 (8) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 266.12/36.85 (9) $i(a1025)
% 266.12/36.85 (10) $i(a1029)
% 266.12/36.85 (11) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 266.12/36.85 (12) ~ c1_1(a1002)
% 266.12/36.85 (13) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.12/36.85 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.12/36.85 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.12/36.85 ndr1_0 | c1_1(v0) | c2_1(v0))
% 266.12/36.85 (14) c2_1(a1002)
% 266.12/36.85 (15) c1_1(a1045)
% 266.12/36.85 (16) ~ hskp6 | (c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006))
% 266.12/36.85 (17) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 266.12/36.85 (18) c3_1(a1045)
% 266.12/36.85 (19) $i(a1002)
% 266.12/36.85 (20) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.12/36.85 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.12/36.85 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.12/36.85 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.12/36.85 (21) hskp27 | hskp14 | hskp6
% 266.12/36.85 (22) $i(a1006)
% 266.12/36.85 (23) c0_1(a1002)
% 266.12/36.85 (24) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.12/36.85 c1_1(v0))
% 266.12/36.85 (25) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.12/36.85 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.12/36.85 ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.12/36.85 (26) hskp22 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) |
% 266.12/36.85 ~ ndr1_0 | c2_1(v0))
% 266.12/36.85 (27) ~ hskp20 | (ndr1_0 & ~ c1_1(a1038) & ~ c2_1(a1038) & ~ c0_1(a1038))
% 266.12/36.85 (28) ~ c0_1(a1045)
% 266.12/36.85 (29) ~ hskp11
% 266.12/36.85
% 266.12/36.85 Begin of proof
% 266.12/36.85 |
% 266.12/36.85 | ALPHA: (2) implies:
% 266.12/36.85 | (30) ~ c0_1(a1019)
% 266.12/36.85 | (31) c2_1(a1019)
% 266.12/36.85 | (32) c1_1(a1019)
% 266.12/36.85 |
% 266.12/36.85 | BETA: splitting (16) gives:
% 266.12/36.85 |
% 266.12/36.85 | Case 1:
% 266.12/36.85 | |
% 266.12/36.85 | | (33) ~ hskp6
% 266.12/36.85 | |
% 266.12/36.85 | | BETA: splitting (21) gives:
% 266.12/36.85 | |
% 266.12/36.85 | | Case 1:
% 266.12/36.85 | | |
% 266.12/36.85 | | | (34) hskp6
% 266.12/36.85 | | |
% 266.12/36.85 | | | PRED_UNIFY: (33), (34) imply:
% 266.12/36.85 | | | (35) $false
% 266.12/36.85 | | |
% 266.12/36.85 | | | CLOSE: (35) is inconsistent.
% 266.12/36.85 | | |
% 266.12/36.85 | | Case 2:
% 266.12/36.85 | | |
% 266.12/36.85 | | | (36) hskp27 | hskp14
% 266.12/36.85 | | |
% 266.12/36.85 | | | BETA: splitting (17) gives:
% 266.12/36.85 | | |
% 266.12/36.85 | | | Case 1:
% 266.12/36.85 | | | |
% 266.12/36.85 | | | | (37) ~ hskp27
% 266.12/36.85 | | | |
% 266.12/36.85 | | | | BETA: splitting (36) gives:
% 266.12/36.85 | | | |
% 266.12/36.85 | | | | Case 1:
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | (38) hskp27
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | PRED_UNIFY: (37), (38) imply:
% 266.12/36.86 | | | | | (39) $false
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | CLOSE: (39) is inconsistent.
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | Case 2:
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | (40) hskp14
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | BETA: splitting (8) gives:
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | Case 1:
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | (41) ~ hskp14
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | PRED_UNIFY: (40), (41) imply:
% 266.12/36.86 | | | | | | (42) $false
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | CLOSE: (42) is inconsistent.
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | Case 2:
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | (43) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025)
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | ALPHA: (43) implies:
% 266.12/36.86 | | | | | | (44) ~ c2_1(a1025)
% 266.12/36.86 | | | | | | (45) ~ c3_1(a1025)
% 266.12/36.86 | | | | | | (46) ndr1_0
% 266.12/36.86 | | | | | | (47) c0_1(a1025)
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | REF_CLOSE: (5), (6), (9), (11), (12), (14), (19), (20), (23), (30),
% 266.12/36.86 | | | | | | (31), (32), (44), (45), (46), (47) are inconsistent by
% 266.12/36.86 | | | | | | sub-proof #102.
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | End of split
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | End of split
% 266.12/36.86 | | | |
% 266.12/36.86 | | | Case 2:
% 266.12/36.86 | | | |
% 266.12/36.86 | | | | (48) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 266.12/36.86 | | | |
% 266.12/36.86 | | | | ALPHA: (48) implies:
% 266.12/36.86 | | | | (49) ndr1_0
% 266.12/36.86 | | | | (50) c0_1(a1029)
% 266.12/36.86 | | | | (51) c2_1(a1029)
% 266.12/36.86 | | | | (52) c3_1(a1029)
% 266.12/36.86 | | | |
% 266.12/36.86 | | | | BETA: splitting (3) gives:
% 266.12/36.86 | | | |
% 266.12/36.86 | | | | Case 1:
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | (53) ~ hskp22
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | BETA: splitting (26) gives:
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | Case 1:
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | (54) hskp6
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | PRED_UNIFY: (33), (54) imply:
% 266.12/36.86 | | | | | | (55) $false
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | CLOSE: (55) is inconsistent.
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | Case 2:
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | (56) hskp22 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.12/36.86 | | | | | | c3_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | BETA: splitting (56) gives:
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | Case 1:
% 266.12/36.86 | | | | | | |
% 266.12/36.86 | | | | | | | (57) hskp22
% 266.12/36.86 | | | | | | |
% 266.12/36.86 | | | | | | | PRED_UNIFY: (53), (57) imply:
% 266.12/36.86 | | | | | | | (58) $false
% 266.12/36.86 | | | | | | |
% 266.12/36.86 | | | | | | | CLOSE: (58) is inconsistent.
% 266.12/36.86 | | | | | | |
% 266.12/36.86 | | | | | | Case 2:
% 266.12/36.86 | | | | | | |
% 266.12/36.86 | | | | | | | (59) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.12/36.86 | | | | | | | ndr1_0 | c2_1(v0))
% 266.12/36.86 | | | | | | |
% 266.12/36.86 | | | | | | | GROUND_INST: instantiating (59) with a1045, simplifying with (4),
% 266.12/36.86 | | | | | | | (15), (18), (49) gives:
% 266.12/36.86 | | | | | | | (60) c2_1(a1045)
% 266.12/36.86 | | | | | | |
% 266.12/36.86 | | | | | | | REF_CLOSE: (4), (5), (6), (15), (18), (25), (28), (29), (30),
% 266.12/36.86 | | | | | | | (31), (32), (49), (60) are inconsistent by sub-proof
% 266.12/36.86 | | | | | | | #6.
% 266.12/36.86 | | | | | | |
% 266.12/36.86 | | | | | | End of split
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | End of split
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | Case 2:
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | (61) c0_1(a1043) & ndr1_0 & ~ c1_1(a1043) & ~ c2_1(a1043)
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | ALPHA: (61) implies:
% 266.12/36.86 | | | | | (62) ~ c2_1(a1043)
% 266.12/36.86 | | | | | (63) ~ c1_1(a1043)
% 266.12/36.86 | | | | | (64) c0_1(a1043)
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | BETA: splitting (27) gives:
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | | Case 1:
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | GROUND_INST: instantiating (24) with a1029, simplifying with (10),
% 266.12/36.86 | | | | | | (49), (50), (52) gives:
% 266.12/36.86 | | | | | | (65) c1_1(a1029)
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | REF_CLOSE: (1), (5), (6), (10), (11), (12), (13), (14), (19), (20),
% 266.12/36.86 | | | | | | (23), (30), (31), (32), (49), (51), (52), (62), (63),
% 266.12/36.86 | | | | | | (64), (65) are inconsistent by sub-proof #3.
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | Case 2:
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | (66) ndr1_0 & ~ c1_1(a1038) & ~ c2_1(a1038) & ~ c0_1(a1038)
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | GROUND_INST: instantiating (24) with a1029, simplifying with (10),
% 266.12/36.86 | | | | | | (49), (50), (52) gives:
% 266.12/36.86 | | | | | | (67) c1_1(a1029)
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | | REF_CLOSE: (1), (5), (6), (10), (11), (12), (13), (14), (19), (20),
% 266.12/36.86 | | | | | | (23), (30), (31), (32), (49), (51), (52), (62), (63),
% 266.12/36.86 | | | | | | (64), (67) are inconsistent by sub-proof #3.
% 266.12/36.86 | | | | | |
% 266.12/36.86 | | | | | End of split
% 266.12/36.86 | | | | |
% 266.12/36.86 | | | | End of split
% 266.12/36.86 | | | |
% 266.12/36.86 | | | End of split
% 266.12/36.86 | | |
% 266.12/36.86 | | End of split
% 266.12/36.86 | |
% 266.12/36.86 | Case 2:
% 266.12/36.86 | |
% 266.12/36.86 | | (68) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 266.12/36.86 | |
% 266.12/36.86 | | REF_CLOSE: (7), (22), (68) are inconsistent by sub-proof #16.
% 266.12/36.86 | |
% 266.12/36.86 | End of split
% 266.12/36.86 |
% 266.12/36.86 End of proof
% 266.12/36.86
% 266.12/36.86 Sub-proof #3 shows that the following formulas are inconsistent:
% 266.12/36.86 ----------------------------------------------------------------
% 266.12/36.86 (1) $i(a1043)
% 266.12/36.86 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.12/36.86 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.12/36.86 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.12/36.86 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.12/36.86 (3) $i(a1019)
% 266.12/36.86 (4) ~ c2_1(a1043)
% 266.12/36.86 (5) c1_1(a1029)
% 266.12/36.86 (6) c0_1(a1043)
% 266.12/36.86 (7) $i(a1029)
% 266.12/36.86 (8) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 266.12/36.86 (9) ~ c1_1(a1002)
% 266.12/36.86 (10) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.12/36.86 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.12/36.86 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.12/36.86 ndr1_0 | c1_1(v0) | c2_1(v0))
% 266.12/36.86 (11) c2_1(a1002)
% 266.12/36.86 (12) c3_1(a1029)
% 266.12/36.86 (13) ~ c1_1(a1043)
% 266.12/36.86 (14) $i(a1002)
% 266.12/36.86 (15) ndr1_0
% 266.12/36.86 (16) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.12/36.86 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.12/36.86 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.12/36.86 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.12/36.86 (17) c0_1(a1002)
% 266.12/36.86 (18) c2_1(a1019)
% 266.12/36.86 (19) c1_1(a1019)
% 266.12/36.86 (20) ~ c0_1(a1019)
% 266.12/36.86 (21) c2_1(a1029)
% 266.12/36.86
% 266.12/36.86 Begin of proof
% 266.12/36.86 |
% 266.12/36.86 | BETA: splitting (16) gives:
% 266.12/36.86 |
% 266.12/36.86 | Case 1:
% 266.12/36.86 | |
% 266.12/36.86 | | (22) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.12/36.86 | | c1_1(v0))
% 266.12/36.86 | |
% 266.12/36.86 | | GROUND_INST: instantiating (22) with a1002, simplifying with (9), (11),
% 266.12/36.86 | | (14), (15), (17) gives:
% 266.12/36.86 | | (23) $false
% 266.12/36.86 | |
% 266.12/36.86 | | CLOSE: (23) is inconsistent.
% 266.12/36.86 | |
% 266.12/36.86 | Case 2:
% 266.12/36.86 | |
% 266.12/36.86 | | (24) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.12/36.86 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.12/36.86 | | c3_1(v0) | c2_1(v0))
% 266.12/36.86 | |
% 266.12/36.86 | | BETA: splitting (24) gives:
% 266.12/36.86 | |
% 266.12/36.86 | | Case 1:
% 266.12/36.86 | | |
% 266.12/36.86 | | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.12/36.86 | | | c0_1(v0))
% 266.12/36.86 | | |
% 266.12/36.86 | | | REF_CLOSE: (2), (3), (8), (15), (18), (19), (20), (25) are inconsistent by
% 266.12/36.86 | | | sub-proof #140.
% 266.12/36.86 | | |
% 266.12/36.86 | | Case 2:
% 266.12/36.86 | | |
% 266.12/36.86 | | | (26) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.12/36.86 | | | c2_1(v0))
% 266.12/36.86 | | |
% 266.12/36.86 | | | GROUND_INST: instantiating (26) with a1043, simplifying with (1), (4),
% 266.12/36.86 | | | (6), (15) gives:
% 266.12/36.86 | | | (27) c3_1(a1043)
% 266.12/36.86 | | |
% 266.12/36.86 | | | BETA: splitting (10) gives:
% 266.12/36.86 | | |
% 266.12/36.86 | | | Case 1:
% 266.12/36.86 | | | |
% 266.12/36.86 | | | | (28) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.12/36.86 | | | | c2_1(v0) | ~ ndr1_0)
% 266.12/36.86 | | | |
% 266.12/36.86 | | | | GROUND_INST: instantiating (28) with a1029, simplifying with (5), (7),
% 266.12/36.86 | | | | (12), (15), (21) gives:
% 266.12/36.86 | | | | (29) $false
% 266.12/36.86 | | | |
% 266.12/36.86 | | | | CLOSE: (29) is inconsistent.
% 266.12/36.86 | | | |
% 266.12/36.86 | | | Case 2:
% 266.12/36.86 | | | |
% 266.20/36.86 | | | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.20/36.86 | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 266.20/36.86 | | | | | c1_1(v0) | c2_1(v0))
% 266.20/36.86 | | | |
% 266.20/36.86 | | | | BETA: splitting (30) gives:
% 266.20/36.86 | | | |
% 266.20/36.86 | | | | Case 1:
% 266.20/36.86 | | | | |
% 266.20/36.86 | | | | | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.20/36.86 | | | | | | c0_1(v0))
% 266.20/36.86 | | | | |
% 266.20/36.86 | | | | | GROUND_INST: instantiating (31) with a1019, simplifying with (3),
% 266.20/36.86 | | | | | (15), (19), (20) gives:
% 266.20/36.86 | | | | | (32) c3_1(a1019)
% 266.20/36.86 | | | | |
% 266.20/36.86 | | | | | REF_CLOSE: (2), (3), (15), (18), (19), (20), (32) are inconsistent by
% 266.20/36.86 | | | | | sub-proof #141.
% 266.20/36.86 | | | | |
% 266.20/36.86 | | | | Case 2:
% 266.20/36.86 | | | | |
% 266.20/36.86 | | | | | (33) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0)
% 266.20/36.86 | | | | | | c2_1(v0))
% 266.20/36.86 | | | | |
% 266.20/36.86 | | | | | GROUND_INST: instantiating (33) with a1043, simplifying with (1), (4),
% 266.20/36.86 | | | | | (13), (15), (27) gives:
% 266.20/36.86 | | | | | (34) $false
% 266.20/36.86 | | | | |
% 266.20/36.86 | | | | | CLOSE: (34) is inconsistent.
% 266.20/36.86 | | | | |
% 266.20/36.86 | | | | End of split
% 266.20/36.86 | | | |
% 266.20/36.86 | | | End of split
% 266.20/36.86 | | |
% 266.20/36.86 | | End of split
% 266.20/36.86 | |
% 266.20/36.86 | End of split
% 266.20/36.86 |
% 266.20/36.86 End of proof
% 266.20/36.86
% 266.20/36.86 Sub-proof #4 shows that the following formulas are inconsistent:
% 266.20/36.86 ----------------------------------------------------------------
% 266.20/36.87 (1) ~ hskp26 | (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))
% 266.20/36.87 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.20/36.87 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.20/36.87 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.20/36.87 c1_1(v0) | c3_1(v0))
% 266.20/36.87 (3) $i(a1010)
% 266.20/36.87 (4) $i(a1052)
% 266.20/36.87 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.87 c2_1(v0))
% 266.20/36.87 (6) $i(a1011)
% 266.20/36.87 (7) c0_1(a1011)
% 266.20/36.87 (8) ~ hskp25 | (c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048))
% 266.20/36.87 (9) ~ c3_1(a1008)
% 266.20/36.87 (10) $i(a1008)
% 266.20/36.87 (11) $i(a1015)
% 266.20/36.87 (12) ~ c1_1(a1008)
% 266.20/36.87 (13) $i(a1048)
% 266.20/36.87 (14) ~ hskp11 | (c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~ c0_1(a1015))
% 266.20/36.87 (15) c2_1(a1008)
% 266.20/36.87 (16) ndr1_0
% 266.20/36.87 (17) hskp25 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.87 c3_1(v0) | c2_1(v0))
% 266.20/36.87 (18) ~ hskp3
% 266.20/36.87 (19) ~ hskp8 | (c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010))
% 266.20/36.87 (20) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.87 c1_1(v0))
% 266.20/36.87 (21) c1_1(a1011)
% 266.20/36.87 (22) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.20/36.87 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.20/36.87 ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.20/36.87 (23) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.20/36.87 ~ ndr1_0 | c2_1(v0))
% 266.20/36.87 (24) ~ c2_1(a1011)
% 266.20/36.87
% 266.20/36.87 Begin of proof
% 266.20/36.87 |
% 266.20/36.87 | BETA: splitting (19) gives:
% 266.20/36.87 |
% 266.20/36.87 | Case 1:
% 266.20/36.87 | |
% 266.20/36.87 | | (25) ~ hskp8
% 266.20/36.87 | |
% 266.20/36.87 | | BETA: splitting (14) gives:
% 266.20/36.87 | |
% 266.20/36.87 | | Case 1:
% 266.20/36.87 | | |
% 266.20/36.87 | | | (26) ~ hskp11
% 266.20/36.87 | | |
% 266.20/36.87 | | | BETA: splitting (8) gives:
% 266.20/36.87 | | |
% 266.20/36.87 | | | Case 1:
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | (27) ~ hskp25
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | BETA: splitting (17) gives:
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | Case 1:
% 266.20/36.87 | | | | |
% 266.20/36.87 | | | | | (28) hskp3
% 266.20/36.87 | | | | |
% 266.20/36.87 | | | | | PRED_UNIFY: (18), (28) imply:
% 266.20/36.87 | | | | | (29) $false
% 266.20/36.87 | | | | |
% 266.20/36.87 | | | | | CLOSE: (29) is inconsistent.
% 266.20/36.87 | | | | |
% 266.20/36.87 | | | | Case 2:
% 266.20/36.87 | | | | |
% 266.20/36.87 | | | | | (30) hskp25 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.87 | | | | | c3_1(v0) | c2_1(v0))
% 266.20/36.87 | | | | |
% 266.20/36.87 | | | | | BETA: splitting (30) gives:
% 266.20/36.87 | | | | |
% 266.20/36.87 | | | | | Case 1:
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | | (31) hskp25
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | | PRED_UNIFY: (27), (31) imply:
% 266.20/36.87 | | | | | | (32) $false
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | | CLOSE: (32) is inconsistent.
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | Case 2:
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | | (33) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.87 | | | | | | c3_1(v0) | c2_1(v0))
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | | GROUND_INST: instantiating (33) with a1011, simplifying with (6),
% 266.20/36.87 | | | | | | (7), (16), (24) gives:
% 266.20/36.87 | | | | | | (34) c3_1(a1011)
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | | GROUND_INST: instantiating (5) with a1011, simplifying with (6),
% 266.20/36.87 | | | | | | (7), (16), (24), (34) gives:
% 266.20/36.87 | | | | | | (35) $false
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | | CLOSE: (35) is inconsistent.
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | End of split
% 266.20/36.87 | | | | |
% 266.20/36.87 | | | | End of split
% 266.20/36.87 | | | |
% 266.20/36.87 | | | Case 2:
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | (36) c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048)
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | ALPHA: (36) implies:
% 266.20/36.87 | | | | (37) ~ c0_1(a1048)
% 266.20/36.87 | | | | (38) ~ c3_1(a1048)
% 266.20/36.87 | | | | (39) c1_1(a1048)
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | REF_CLOSE: (1), (2), (4), (6), (7), (9), (10), (12), (13), (15), (16),
% 266.20/36.87 | | | | (21), (22), (23), (24), (25), (26), (37), (38), (39) are
% 266.20/36.87 | | | | inconsistent by sub-proof #117.
% 266.20/36.87 | | | |
% 266.20/36.87 | | | End of split
% 266.20/36.87 | | |
% 266.20/36.87 | | Case 2:
% 266.20/36.87 | | |
% 266.20/36.87 | | | (40) c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~ c0_1(a1015)
% 266.20/36.87 | | |
% 266.20/36.87 | | | ALPHA: (40) implies:
% 266.20/36.87 | | | (41) ~ c0_1(a1015)
% 266.20/36.87 | | | (42) ~ c1_1(a1015)
% 266.20/36.87 | | | (43) c3_1(a1015)
% 266.20/36.87 | | |
% 266.20/36.87 | | | REF_CLOSE: (1), (2), (4), (6), (7), (9), (10), (11), (12), (15), (16),
% 266.20/36.87 | | | (21), (23), (24), (25), (41), (42), (43) are inconsistent by
% 266.20/36.87 | | | sub-proof #97.
% 266.20/36.87 | | |
% 266.20/36.87 | | End of split
% 266.20/36.87 | |
% 266.20/36.87 | Case 2:
% 266.20/36.87 | |
% 266.20/36.87 | | (44) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 266.20/36.87 | |
% 266.20/36.87 | | REF_CLOSE: (3), (20), (44) are inconsistent by sub-proof #15.
% 266.20/36.87 | |
% 266.20/36.87 | End of split
% 266.20/36.87 |
% 266.20/36.87 End of proof
% 266.20/36.87
% 266.20/36.87 Sub-proof #5 shows that the following formulas are inconsistent:
% 266.20/36.87 ----------------------------------------------------------------
% 266.20/36.87 (1) $i(a1040)
% 266.20/36.87 (2) ~ hskp26 | (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))
% 266.20/36.87 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.20/36.87 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.20/36.87 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.20/36.87 c1_1(v0) | c3_1(v0))
% 266.20/36.87 (4) $i(a1045)
% 266.20/36.87 (5) $i(a1052)
% 266.20/36.87 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.87 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.20/36.87 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.20/36.87 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.20/36.87 (7) ~ c0_1(a1015)
% 266.20/36.87 (8) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 266.20/36.87 (9) hskp29 | hskp26 | hskp3
% 266.20/36.87 (10) ~ c3_1(a1008)
% 266.20/36.87 (11) $i(a1008)
% 266.20/36.87 (12) ~ hskp8
% 266.20/36.87 (13) ~ hskp29 | (c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0)
% 266.20/36.87 (14) $i(a1015)
% 266.20/36.87 (15) ~ c1_1(a1008)
% 266.20/36.87 (16) c2_1(a1008)
% 266.20/36.87 (17) ~ hskp3
% 266.20/36.87 (18) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.20/36.87 (19) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.20/36.87 ~ c0_1(v0) | ~ ndr1_0)
% 266.20/36.87 (20) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.20/36.87 ~ ndr1_0 | c2_1(v0))
% 266.20/36.87 (21) c3_1(a1015)
% 266.20/36.87 (22) ~ c1_1(a1015)
% 266.20/36.87
% 266.20/36.87 Begin of proof
% 266.20/36.87 |
% 266.20/36.87 | BETA: splitting (18) gives:
% 266.20/36.87 |
% 266.20/36.87 | Case 1:
% 266.20/36.87 | |
% 266.20/36.87 | | (23) ~ hskp24
% 266.20/36.87 | |
% 266.20/36.87 | | BETA: splitting (19) gives:
% 266.20/36.87 | |
% 266.20/36.87 | | Case 1:
% 266.20/36.87 | | |
% 266.20/36.87 | | | (24) hskp3
% 266.20/36.87 | | |
% 266.20/36.87 | | | PRED_UNIFY: (17), (24) imply:
% 266.20/36.87 | | | (25) $false
% 266.20/36.87 | | |
% 266.20/36.87 | | | CLOSE: (25) is inconsistent.
% 266.20/36.87 | | |
% 266.20/36.87 | | Case 2:
% 266.20/36.87 | | |
% 266.20/36.87 | | | (26) hskp24 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.87 | | | c0_1(v0) | ~ ndr1_0)
% 266.20/36.87 | | |
% 266.20/36.87 | | | BETA: splitting (26) gives:
% 266.20/36.87 | | |
% 266.20/36.87 | | | Case 1:
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | (27) hskp24
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | PRED_UNIFY: (23), (27) imply:
% 266.20/36.87 | | | | (28) $false
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | CLOSE: (28) is inconsistent.
% 266.20/36.87 | | | |
% 266.20/36.87 | | | Case 2:
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | (29) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.87 | | | | c0_1(v0) | ~ ndr1_0)
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | BETA: splitting (13) gives:
% 266.20/36.87 | | | |
% 266.20/36.87 | | | | Case 1:
% 266.20/36.87 | | | | |
% 266.20/36.87 | | | | | (30) ~ hskp29
% 266.20/36.87 | | | | |
% 266.20/36.87 | | | | | BETA: splitting (9) gives:
% 266.20/36.87 | | | | |
% 266.20/36.87 | | | | | Case 1:
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | | (31) hskp3
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | | PRED_UNIFY: (17), (31) imply:
% 266.20/36.87 | | | | | | (32) $false
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | | CLOSE: (32) is inconsistent.
% 266.20/36.87 | | | | | |
% 266.20/36.87 | | | | | Case 2:
% 266.20/36.87 | | | | | |
% 266.20/36.88 | | | | | | (33) hskp29 | hskp26
% 266.20/36.88 | | | | | |
% 266.20/36.88 | | | | | | BETA: splitting (33) gives:
% 266.20/36.88 | | | | | |
% 266.20/36.88 | | | | | | Case 1:
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | (34) hskp29
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | PRED_UNIFY: (30), (34) imply:
% 266.20/36.88 | | | | | | | (35) $false
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | CLOSE: (35) is inconsistent.
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | Case 2:
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | (36) hskp26
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | BETA: splitting (2) gives:
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | Case 1:
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | | (37) ~ hskp26
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | | PRED_UNIFY: (36), (37) imply:
% 266.20/36.88 | | | | | | | | (38) $false
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | | CLOSE: (38) is inconsistent.
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | Case 2:
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | | (39) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052)
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | | ALPHA: (39) implies:
% 266.20/36.88 | | | | | | | | (40) ~ c0_1(a1052)
% 266.20/36.88 | | | | | | | | (41) ~ c2_1(a1052)
% 266.20/36.88 | | | | | | | | (42) ndr1_0
% 266.20/36.88 | | | | | | | | (43) c3_1(a1052)
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | | REF_CLOSE: (3), (5), (7), (10), (11), (14), (15), (16), (21),
% 266.20/36.88 | | | | | | | | (22), (40), (41), (42), (43) are inconsistent by
% 266.20/36.88 | | | | | | | | sub-proof #125.
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | End of split
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | End of split
% 266.20/36.88 | | | | | |
% 266.20/36.88 | | | | | End of split
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | Case 2:
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | | (44) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | | ALPHA: (44) implies:
% 266.20/36.88 | | | | | (45) ndr1_0
% 266.20/36.88 | | | | | (46) c0_1(a1040)
% 266.20/36.88 | | | | | (47) c3_1(a1040)
% 266.20/36.88 | | | | | (48) c1_1(a1040)
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | | BETA: splitting (2) gives:
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | | Case 1:
% 266.20/36.88 | | | | | |
% 266.20/36.88 | | | | | | (49) ~ hskp26
% 266.20/36.88 | | | | | |
% 266.20/36.88 | | | | | | BETA: splitting (20) gives:
% 266.20/36.88 | | | | | |
% 266.20/36.88 | | | | | | Case 1:
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | (50) hskp8
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | PRED_UNIFY: (12), (50) imply:
% 266.20/36.88 | | | | | | | (51) $false
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | CLOSE: (51) is inconsistent.
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | Case 2:
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | (52) hskp26 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.20/36.88 | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | BETA: splitting (52) gives:
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | | Case 1:
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | | (53) hskp26
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | | PRED_UNIFY: (49), (53) imply:
% 266.20/36.88 | | | | | | | | (54) $false
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | | CLOSE: (54) is inconsistent.
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | Case 2:
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | | (55) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.20/36.88 | | | | | | | | ~ ndr1_0 | c2_1(v0))
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | | REF_CLOSE: (1), (8), (29), (45), (46), (47), (48), (55) are
% 266.20/36.88 | | | | | | | | inconsistent by sub-proof #17.
% 266.20/36.88 | | | | | | | |
% 266.20/36.88 | | | | | | | End of split
% 266.20/36.88 | | | | | | |
% 266.20/36.88 | | | | | | End of split
% 266.20/36.88 | | | | | |
% 266.20/36.88 | | | | | Case 2:
% 266.20/36.88 | | | | | |
% 266.20/36.88 | | | | | | (56) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052)
% 266.20/36.88 | | | | | |
% 266.20/36.88 | | | | | | ALPHA: (56) implies:
% 266.20/36.88 | | | | | | (57) ~ c0_1(a1052)
% 266.20/36.88 | | | | | | (58) ~ c2_1(a1052)
% 266.20/36.88 | | | | | | (59) c3_1(a1052)
% 266.20/36.88 | | | | | |
% 266.20/36.88 | | | | | | REF_CLOSE: (3), (5), (7), (10), (11), (14), (15), (16), (21), (22),
% 266.20/36.88 | | | | | | (45), (57), (58), (59) are inconsistent by sub-proof
% 266.20/36.88 | | | | | | #125.
% 266.20/36.88 | | | | | |
% 266.20/36.88 | | | | | End of split
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | End of split
% 266.20/36.88 | | | |
% 266.20/36.88 | | | End of split
% 266.20/36.88 | | |
% 266.20/36.88 | | End of split
% 266.20/36.88 | |
% 266.20/36.88 | Case 2:
% 266.20/36.88 | |
% 266.20/36.88 | | (60) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.20/36.88 | |
% 266.20/36.88 | | ALPHA: (60) implies:
% 266.20/36.88 | | (61) ~ c0_1(a1045)
% 266.20/36.88 | | (62) ndr1_0
% 266.20/36.88 | | (63) c3_1(a1045)
% 266.20/36.88 | | (64) c1_1(a1045)
% 266.20/36.88 | |
% 266.20/36.88 | | BETA: splitting (6) gives:
% 266.20/36.88 | |
% 266.20/36.88 | | Case 1:
% 266.20/36.88 | | |
% 266.20/36.88 | | | (65) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0)
% 266.20/36.88 | | | | ~ ndr1_0)
% 266.20/36.88 | | |
% 266.20/36.88 | | | BETA: splitting (3) gives:
% 266.20/36.88 | | |
% 266.20/36.88 | | | Case 1:
% 266.20/36.88 | | | |
% 266.20/36.88 | | | | (66) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.20/36.88 | | | | c0_1(v0))
% 266.20/36.88 | | | |
% 266.20/36.88 | | | | GROUND_INST: instantiating (66) with a1015, simplifying with (7), (14),
% 266.20/36.88 | | | | (21), (22), (62) gives:
% 266.20/36.88 | | | | (67) $false
% 266.20/36.88 | | | |
% 266.20/36.88 | | | | CLOSE: (67) is inconsistent.
% 266.20/36.88 | | | |
% 266.20/36.88 | | | Case 2:
% 266.20/36.88 | | | |
% 266.20/36.88 | | | | (68) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.20/36.88 | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.20/36.88 | | | | | c1_1(v0) | c3_1(v0))
% 266.20/36.88 | | | |
% 266.20/36.88 | | | | BETA: splitting (68) gives:
% 266.20/36.88 | | | |
% 266.20/36.88 | | | | Case 1:
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | | (69) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0)
% 266.20/36.88 | | | | | | c0_1(v0))
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | | GROUND_INST: instantiating (69) with a1045, simplifying with (4),
% 266.20/36.88 | | | | | (61), (62), (63) gives:
% 266.20/36.88 | | | | | (70) c2_1(a1045)
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | | GROUND_INST: instantiating (65) with a1045, simplifying with (4),
% 266.20/36.88 | | | | | (62), (63), (64), (70) gives:
% 266.20/36.88 | | | | | (71) $false
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | | CLOSE: (71) is inconsistent.
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | Case 2:
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | | (72) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0)
% 266.20/36.88 | | | | | | c3_1(v0))
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | | GROUND_INST: instantiating (72) with a1008, simplifying with (10),
% 266.20/36.88 | | | | | (11), (15), (16), (62) gives:
% 266.20/36.88 | | | | | (73) $false
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | | CLOSE: (73) is inconsistent.
% 266.20/36.88 | | | | |
% 266.20/36.88 | | | | End of split
% 266.20/36.88 | | | |
% 266.20/36.88 | | | End of split
% 266.20/36.88 | | |
% 266.20/36.88 | | Case 2:
% 266.20/36.88 | | |
% 266.20/36.88 | | | (74) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.20/36.88 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0)
% 266.20/36.88 | | | | ~ ndr1_0 | c0_1(v0))
% 266.20/36.88 | | |
% 266.20/36.88 | | | REF_CLOSE: (3), (4), (7), (10), (11), (14), (15), (16), (21), (22), (61),
% 266.20/36.88 | | | (62), (63), (64), (74) are inconsistent by sub-proof #74.
% 266.20/36.88 | | |
% 266.20/36.88 | | End of split
% 266.20/36.88 | |
% 266.20/36.88 | End of split
% 266.20/36.88 |
% 266.20/36.88 End of proof
% 266.20/36.88
% 266.20/36.88 Sub-proof #6 shows that the following formulas are inconsistent:
% 266.20/36.88 ----------------------------------------------------------------
% 266.20/36.88 (1) $i(a1045)
% 266.20/36.88 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.88 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.20/36.88 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.20/36.88 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.20/36.88 (3) $i(a1019)
% 266.20/36.88 (4) c2_1(a1045)
% 266.20/36.88 (5) c1_1(a1045)
% 266.20/36.88 (6) c3_1(a1045)
% 266.20/36.88 (7) ndr1_0
% 266.20/36.88 (8) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0
% 266.20/36.88 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.20/36.88 c3_1(v0) | c0_1(v0))
% 266.20/36.88 (9) c2_1(a1019)
% 266.20/36.88 (10) c1_1(a1019)
% 266.20/36.88 (11) ~ c0_1(a1019)
% 266.20/36.88 (12) ~ c0_1(a1045)
% 266.20/36.88 (13) ~ hskp11
% 266.20/36.88
% 266.20/36.88 Begin of proof
% 266.20/36.88 |
% 266.20/36.88 | BETA: splitting (8) gives:
% 266.20/36.88 |
% 266.20/36.88 | Case 1:
% 266.20/36.88 | |
% 266.20/36.88 | | (14) hskp11
% 266.20/36.88 | |
% 266.20/36.88 | | PRED_UNIFY: (13), (14) imply:
% 266.20/36.88 | | (15) $false
% 266.20/36.88 | |
% 266.20/36.88 | | CLOSE: (15) is inconsistent.
% 266.20/36.88 | |
% 266.20/36.88 | Case 2:
% 266.20/36.88 | |
% 266.20/36.88 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.20/36.88 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.20/36.88 | | c3_1(v0) | c0_1(v0))
% 266.20/36.88 | |
% 266.20/36.88 | | BETA: splitting (2) gives:
% 266.20/36.88 | |
% 266.20/36.88 | | Case 1:
% 266.20/36.88 | | |
% 266.20/36.88 | | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0)
% 266.20/36.88 | | | | ~ ndr1_0)
% 266.20/36.88 | | |
% 266.20/36.88 | | | GROUND_INST: instantiating (17) with a1045, simplifying with (1), (4),
% 266.20/36.88 | | | (5), (6), (7) gives:
% 266.20/36.88 | | | (18) $false
% 266.20/36.88 | | |
% 266.20/36.88 | | | CLOSE: (18) is inconsistent.
% 266.20/36.88 | | |
% 266.20/36.88 | | Case 2:
% 266.20/36.88 | | |
% 266.20/36.88 | | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.20/36.88 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0)
% 266.20/36.88 | | | | ~ ndr1_0 | c0_1(v0))
% 266.20/36.88 | | |
% 266.20/36.88 | | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (10), (11), (12), (16), (19) are
% 266.20/36.88 | | | inconsistent by sub-proof #10.
% 266.20/36.88 | | |
% 266.20/36.88 | | End of split
% 266.20/36.88 | |
% 266.20/36.88 | End of split
% 266.20/36.88 |
% 266.20/36.88 End of proof
% 266.20/36.88
% 266.20/36.88 Sub-proof #7 shows that the following formulas are inconsistent:
% 266.20/36.88 ----------------------------------------------------------------
% 266.20/36.88 (1) c0_1(a1033)
% 266.20/36.88 (2) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.20/36.88 ~ c0_1(v0) | ~ ndr1_0)
% 266.20/36.88 (3) ~ hskp9
% 266.20/36.88 (4) ~ hskp12
% 266.20/36.88 (5) c1_1(a1033)
% 266.20/36.88 (6) ndr1_0
% 266.20/36.88 (7) c2_1(a1033)
% 266.20/36.88 (8) $i(a1033)
% 266.20/36.88
% 266.20/36.88 Begin of proof
% 266.20/36.88 |
% 266.20/36.88 | BETA: splitting (2) gives:
% 266.20/36.88 |
% 266.20/36.88 | Case 1:
% 266.20/36.88 | |
% 266.20/36.88 | | (9) hskp12
% 266.20/36.88 | |
% 266.20/36.88 | | PRED_UNIFY: (4), (9) imply:
% 266.20/36.88 | | (10) $false
% 266.20/36.88 | |
% 266.20/36.88 | | CLOSE: (10) is inconsistent.
% 266.20/36.88 | |
% 266.20/36.88 | Case 2:
% 266.20/36.88 | |
% 266.20/36.89 | | (11) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.89 | | c0_1(v0) | ~ ndr1_0)
% 266.20/36.89 | |
% 266.20/36.89 | | BETA: splitting (11) gives:
% 266.20/36.89 | |
% 266.20/36.89 | | Case 1:
% 266.20/36.89 | | |
% 266.20/36.89 | | | (12) hskp9
% 266.20/36.89 | | |
% 266.20/36.89 | | | PRED_UNIFY: (3), (12) imply:
% 266.20/36.89 | | | (13) $false
% 266.20/36.89 | | |
% 266.20/36.89 | | | CLOSE: (13) is inconsistent.
% 266.20/36.89 | | |
% 266.20/36.89 | | Case 2:
% 266.20/36.89 | | |
% 266.20/36.89 | | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0)
% 266.20/36.89 | | | | ~ ndr1_0)
% 266.20/36.89 | | |
% 266.20/36.89 | | | GROUND_INST: instantiating (14) with a1033, simplifying with (1), (5),
% 266.20/36.89 | | | (6), (7), (8) gives:
% 266.20/36.89 | | | (15) $false
% 266.20/36.89 | | |
% 266.20/36.89 | | | CLOSE: (15) is inconsistent.
% 266.20/36.89 | | |
% 266.20/36.89 | | End of split
% 266.20/36.89 | |
% 266.20/36.89 | End of split
% 266.20/36.89 |
% 266.20/36.89 End of proof
% 266.20/36.89
% 266.20/36.89 Sub-proof #8 shows that the following formulas are inconsistent:
% 266.20/36.89 ----------------------------------------------------------------
% 266.20/36.89 (1) ~ c3_1(a1025)
% 266.20/36.89 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.89 c2_1(v0))
% 266.20/36.89 (3) ~ hskp12
% 266.20/36.89 (4) $i(a1025)
% 266.20/36.89 (5) ~ hskp25 | (c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048))
% 266.20/36.89 (6) c0_1(a1025)
% 266.20/36.89 (7) ~ hskp6 | (c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006))
% 266.20/36.89 (8) $i(a1048)
% 266.20/36.89 (9) ndr1_0
% 266.20/36.89 (10) hskp25 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.89 c3_1(v0) | c2_1(v0))
% 266.20/36.89 (11) ~ hskp3
% 266.20/36.89 (12) ~ c2_1(a1025)
% 266.20/36.89 (13) $i(a1006)
% 266.20/36.89 (14) hskp12 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.20/36.89 c3_1(v0) | c0_1(v0))
% 266.20/36.89
% 266.20/36.89 Begin of proof
% 266.20/36.89 |
% 266.20/36.89 | BETA: splitting (7) gives:
% 266.20/36.89 |
% 266.20/36.89 | Case 1:
% 266.20/36.89 | |
% 266.20/36.89 | | (15) ~ hskp6
% 266.20/36.89 | |
% 266.20/36.89 | | BETA: splitting (14) gives:
% 266.20/36.89 | |
% 266.20/36.89 | | Case 1:
% 266.20/36.89 | | |
% 266.20/36.89 | | | (16) hskp6
% 266.20/36.89 | | |
% 266.20/36.89 | | | PRED_UNIFY: (15), (16) imply:
% 266.20/36.89 | | | (17) $false
% 266.20/36.89 | | |
% 266.20/36.89 | | | CLOSE: (17) is inconsistent.
% 266.20/36.89 | | |
% 266.20/36.89 | | Case 2:
% 266.20/36.89 | | |
% 266.20/36.89 | | | (18) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.20/36.89 | | | c3_1(v0) | c0_1(v0))
% 266.20/36.89 | | |
% 266.20/36.89 | | | BETA: splitting (5) gives:
% 266.20/36.89 | | |
% 266.20/36.89 | | | Case 1:
% 266.20/36.89 | | | |
% 266.20/36.89 | | | | (19) ~ hskp25
% 266.20/36.89 | | | |
% 266.20/36.89 | | | | BETA: splitting (10) gives:
% 266.20/36.89 | | | |
% 266.20/36.89 | | | | Case 1:
% 266.20/36.89 | | | | |
% 266.20/36.89 | | | | | (20) hskp3
% 266.20/36.89 | | | | |
% 266.20/36.89 | | | | | PRED_UNIFY: (11), (20) imply:
% 266.20/36.89 | | | | | (21) $false
% 266.20/36.89 | | | | |
% 266.20/36.89 | | | | | CLOSE: (21) is inconsistent.
% 266.20/36.89 | | | | |
% 266.20/36.89 | | | | Case 2:
% 266.20/36.89 | | | | |
% 266.20/36.89 | | | | | (22) hskp25 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.89 | | | | | c3_1(v0) | c2_1(v0))
% 266.20/36.89 | | | | |
% 266.20/36.89 | | | | | BETA: splitting (22) gives:
% 266.20/36.89 | | | | |
% 266.20/36.89 | | | | | Case 1:
% 266.20/36.89 | | | | | |
% 266.20/36.89 | | | | | | (23) hskp25
% 266.20/36.89 | | | | | |
% 266.20/36.89 | | | | | | PRED_UNIFY: (19), (23) imply:
% 266.20/36.89 | | | | | | (24) $false
% 266.20/36.89 | | | | | |
% 266.20/36.89 | | | | | | CLOSE: (24) is inconsistent.
% 266.20/36.89 | | | | | |
% 266.20/36.89 | | | | | Case 2:
% 266.20/36.89 | | | | | |
% 266.20/36.89 | | | | | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.89 | | | | | | c3_1(v0) | c2_1(v0))
% 266.20/36.89 | | | | | |
% 266.20/36.89 | | | | | | GROUND_INST: instantiating (25) with a1025, simplifying with (1),
% 266.20/36.89 | | | | | | (4), (6), (9), (12) gives:
% 266.20/36.89 | | | | | | (26) $false
% 266.20/36.89 | | | | | |
% 266.20/36.89 | | | | | | CLOSE: (26) is inconsistent.
% 266.20/36.89 | | | | | |
% 266.20/36.89 | | | | | End of split
% 266.20/36.89 | | | | |
% 266.20/36.89 | | | | End of split
% 266.20/36.89 | | | |
% 266.20/36.89 | | | Case 2:
% 266.20/36.89 | | | |
% 266.20/36.89 | | | | (27) c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048)
% 266.20/36.89 | | | |
% 266.20/36.89 | | | | ALPHA: (27) implies:
% 266.20/36.89 | | | | (28) ~ c0_1(a1048)
% 266.20/36.89 | | | | (29) ~ c3_1(a1048)
% 266.20/36.89 | | | | (30) c1_1(a1048)
% 266.20/36.89 | | | |
% 266.20/36.89 | | | | REF_CLOSE: (3), (8), (9), (18), (28), (29), (30) are inconsistent by
% 266.20/36.89 | | | | sub-proof #116.
% 266.20/36.89 | | | |
% 266.20/36.89 | | | End of split
% 266.20/36.89 | | |
% 266.20/36.89 | | End of split
% 266.20/36.89 | |
% 266.20/36.89 | Case 2:
% 266.20/36.89 | |
% 266.20/36.89 | | (31) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 266.20/36.89 | |
% 266.20/36.89 | | REF_CLOSE: (2), (13), (31) are inconsistent by sub-proof #16.
% 266.20/36.89 | |
% 266.20/36.89 | End of split
% 266.20/36.89 |
% 266.20/36.89 End of proof
% 266.20/36.89
% 266.20/36.89 Sub-proof #9 shows that the following formulas are inconsistent:
% 266.20/36.89 ----------------------------------------------------------------
% 266.20/36.89 (1) $i(a1040)
% 266.20/36.89 (2) hskp2 | hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.20/36.89 c3_1(v0) | c0_1(v0))
% 266.20/36.89 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.20/36.89 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.89 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.20/36.89 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.20/36.89 (4) $i(a1045)
% 266.20/36.89 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.89 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.20/36.89 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.20/36.89 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.20/36.89 (6) $i(a1019)
% 266.20/36.89 (7) ~ hskp1 | (c3_1(a1001) & c2_1(a1001) & ndr1_0 & ~ c1_1(a1001))
% 266.20/36.89 (8) c3_1(a1040)
% 266.20/36.89 (9) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 266.20/36.89 (10) c1_1(a1045)
% 266.20/36.89 (11) c3_1(a1045)
% 266.20/36.89 (12) $i(a1001)
% 266.20/36.89 (13) c1_1(a1040)
% 266.20/36.89 (14) ndr1_0
% 266.20/36.89 (15) ~ hskp2
% 266.20/36.89 (16) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.20/36.89 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.20/36.89 ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.20/36.89 (17) c0_1(a1040)
% 266.20/36.89 (18) c2_1(a1019)
% 266.20/36.89 (19) c1_1(a1019)
% 266.20/36.89 (20) ~ c0_1(a1019)
% 266.20/36.89 (21) ~ c0_1(a1045)
% 266.20/36.89 (22) ~ hskp11
% 266.20/36.89
% 266.20/36.89 Begin of proof
% 266.20/36.89 |
% 266.20/36.89 | BETA: splitting (7) gives:
% 266.20/36.89 |
% 266.20/36.89 | Case 1:
% 266.20/36.89 | |
% 266.20/36.89 | | (23) ~ hskp1
% 266.20/36.89 | |
% 266.20/36.89 | | REF_CLOSE: (2), (5), (6), (9), (14), (15), (18), (19), (20), (23) are
% 266.20/36.89 | | inconsistent by sub-proof #138.
% 266.20/36.89 | |
% 266.20/36.89 | Case 2:
% 266.20/36.89 | |
% 266.20/36.89 | | (24) c3_1(a1001) & c2_1(a1001) & ndr1_0 & ~ c1_1(a1001)
% 266.20/36.89 | |
% 266.20/36.89 | | ALPHA: (24) implies:
% 266.20/36.89 | | (25) ~ c1_1(a1001)
% 266.20/36.89 | | (26) c2_1(a1001)
% 266.20/36.89 | | (27) c3_1(a1001)
% 266.20/36.89 | |
% 266.20/36.89 | | BETA: splitting (16) gives:
% 266.20/36.89 | |
% 266.20/36.89 | | Case 1:
% 266.20/36.89 | | |
% 266.20/36.89 | | | (28) hskp11
% 266.20/36.89 | | |
% 266.20/36.89 | | | PRED_UNIFY: (22), (28) imply:
% 266.20/36.89 | | | (29) $false
% 266.20/36.89 | | |
% 266.20/36.89 | | | CLOSE: (29) is inconsistent.
% 266.20/36.89 | | |
% 266.20/36.89 | | Case 2:
% 266.20/36.89 | | |
% 266.20/36.89 | | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.20/36.89 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.20/36.89 | | | c3_1(v0) | c0_1(v0))
% 266.20/36.89 | | |
% 266.20/36.89 | | | BETA: splitting (5) gives:
% 266.20/36.89 | | |
% 266.20/36.89 | | | Case 1:
% 266.20/36.89 | | | |
% 266.20/36.89 | | | | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.20/36.89 | | | | c2_1(v0) | ~ ndr1_0)
% 266.20/36.89 | | | |
% 266.20/36.89 | | | | REF_CLOSE: (1), (3), (6), (8), (12), (13), (14), (17), (18), (19), (25),
% 266.20/36.89 | | | | (26), (27), (31) are inconsistent by sub-proof #70.
% 266.20/36.89 | | | |
% 266.20/36.89 | | | Case 2:
% 266.20/36.89 | | | |
% 266.20/36.89 | | | | (32) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0
% 266.20/36.89 | | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.20/36.89 | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.20/36.89 | | | |
% 266.20/36.89 | | | | REF_CLOSE: (4), (6), (10), (11), (14), (18), (19), (20), (21), (30),
% 266.20/36.89 | | | | (32) are inconsistent by sub-proof #10.
% 266.20/36.89 | | | |
% 266.20/36.89 | | | End of split
% 266.20/36.89 | | |
% 266.20/36.89 | | End of split
% 266.20/36.89 | |
% 266.20/36.89 | End of split
% 266.20/36.89 |
% 266.20/36.89 End of proof
% 266.20/36.89
% 266.20/36.89 Sub-proof #10 shows that the following formulas are inconsistent:
% 266.20/36.89 ----------------------------------------------------------------
% 266.20/36.89 (1) $i(a1045)
% 266.20/36.89 (2) $i(a1019)
% 266.20/36.90 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.20/36.90 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.90 ndr1_0 | c0_1(v0))
% 266.20/36.90 (4) c1_1(a1045)
% 266.20/36.90 (5) c3_1(a1045)
% 266.20/36.90 (6) ndr1_0
% 266.20/36.90 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.20/36.90 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.20/36.90 c3_1(v0) | c0_1(v0))
% 266.20/36.90 (8) c2_1(a1019)
% 266.20/36.90 (9) c1_1(a1019)
% 266.20/36.90 (10) ~ c0_1(a1019)
% 266.20/36.90 (11) ~ c0_1(a1045)
% 266.20/36.90
% 266.20/36.90 Begin of proof
% 266.20/36.90 |
% 266.20/36.90 | BETA: splitting (3) gives:
% 266.20/36.90 |
% 266.20/36.90 | Case 1:
% 266.20/36.90 | |
% 266.20/36.90 | | (12) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.20/36.90 | | c0_1(v0))
% 266.20/36.90 | |
% 266.20/36.90 | | GROUND_INST: instantiating (12) with a1045, simplifying with (1), (4), (5),
% 266.20/36.90 | | (6), (11) gives:
% 266.20/36.90 | | (13) $false
% 266.20/36.90 | |
% 266.20/36.90 | | CLOSE: (13) is inconsistent.
% 266.20/36.90 | |
% 266.20/36.90 | Case 2:
% 266.20/36.90 | |
% 266.20/36.90 | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.20/36.90 | | c0_1(v0))
% 266.20/36.90 | |
% 266.20/36.90 | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (8), (9), (10), (11), (14) are
% 266.20/36.90 | | inconsistent by sub-proof #149.
% 266.20/36.90 | |
% 266.20/36.90 | End of split
% 266.20/36.90 |
% 266.20/36.90 End of proof
% 266.20/36.90
% 266.20/36.90 Sub-proof #11 shows that the following formulas are inconsistent:
% 266.20/36.90 ----------------------------------------------------------------
% 266.20/36.90 (1) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0
% 266.20/36.90 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.20/36.90 ndr1_0 | c1_1(v0))
% 266.20/36.90 (2) hskp17 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 266.20/36.90 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.20/36.90 ndr1_0 | c3_1(v0))
% 266.20/36.90 (3) $i(a1043)
% 266.20/36.90 (4) hskp23 | hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.20/36.90 ~ ndr1_0 | c3_1(v0))
% 266.20/36.90 (5) $i(a1026)
% 266.20/36.90 (6) ~ hskp22 | (c0_1(a1043) & ndr1_0 & ~ c1_1(a1043) & ~ c2_1(a1043))
% 266.20/36.90 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.20/36.90 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.90 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.20/36.90 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.20/36.90 (8) $i(a1004)
% 266.20/36.90 (9) $i(a1045)
% 266.20/36.90 (10) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.90 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.20/36.90 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.20/36.90 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.20/36.90 (11) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.20/36.90 ~ c0_1(v0) | ~ ndr1_0)
% 266.20/36.90 (12) ~ hskp17 | (c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~ c0_1(a1032))
% 266.20/36.90 (13) $i(a1032)
% 266.20/36.90 (14) ~ hskp9
% 266.20/36.90 (15) ~ hskp12
% 266.20/36.90 (16) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 266.20/36.90 (17) $i(a1025)
% 266.20/36.90 (18) hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.20/36.90 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.20/36.90 c1_1(v0) | c0_1(v0))
% 266.20/36.90 (19) $i(a1029)
% 266.20/36.90 (20) ~ hskp25 | (c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048))
% 266.20/36.90 (21) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.20/36.90 (22) c1_1(a1045)
% 266.20/36.90 (23) hskp22 | hskp14 | hskp12
% 266.20/36.90 (24) ~ hskp6 | (c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006))
% 266.20/36.90 (25) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 266.20/36.90 (26) c3_1(a1045)
% 266.20/36.90 (27) $i(a1048)
% 266.20/36.90 (28) hskp25 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.90 c3_1(v0) | c2_1(v0))
% 266.20/36.90 (29) ~ hskp3
% 266.20/36.90 (30) ~ hskp14
% 266.20/36.90 (31) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.20/36.90 c2_1(v0))
% 266.20/36.90 (32) hskp27 | hskp14 | hskp6
% 266.20/36.90 (33) ~ hskp23
% 266.20/36.90 (34) hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.20/36.90 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.20/36.90 ~ c0_1(v0) | ~ ndr1_0)
% 266.20/36.90 (35) $i(a1006)
% 266.20/36.90 (36) ~ hskp15 | (c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026))
% 266.20/36.90 (37) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.90 c1_1(v0))
% 266.20/36.90 (38) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.20/36.90 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.20/36.90 ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.20/36.90 (39) hskp12 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.20/36.90 c3_1(v0) | c0_1(v0))
% 266.20/36.90 (40) ~ c0_1(a1045)
% 266.20/36.90 (41) ~ hskp11
% 266.20/36.90
% 266.20/36.90 Begin of proof
% 266.20/36.90 |
% 266.20/36.90 | BETA: splitting (23) gives:
% 266.20/36.90 |
% 266.20/36.90 | Case 1:
% 266.20/36.90 | |
% 266.20/36.90 | | (42) hskp12
% 266.20/36.90 | |
% 266.20/36.90 | | PRED_UNIFY: (15), (42) imply:
% 266.20/36.90 | | (43) $false
% 266.20/36.90 | |
% 266.20/36.90 | | CLOSE: (43) is inconsistent.
% 266.20/36.90 | |
% 266.20/36.90 | Case 2:
% 266.20/36.90 | |
% 266.20/36.90 | | (44) hskp22 | hskp14
% 266.20/36.90 | |
% 266.20/36.90 | | BETA: splitting (11) gives:
% 266.20/36.90 | |
% 266.20/36.90 | | Case 1:
% 266.20/36.90 | | |
% 266.20/36.90 | | | (45) hskp12
% 266.20/36.90 | | |
% 266.20/36.90 | | | PRED_UNIFY: (15), (45) imply:
% 266.20/36.90 | | | (46) $false
% 266.20/36.90 | | |
% 266.20/36.90 | | | CLOSE: (46) is inconsistent.
% 266.20/36.90 | | |
% 266.20/36.90 | | Case 2:
% 266.20/36.90 | | |
% 266.20/36.90 | | | (47) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.90 | | | c0_1(v0) | ~ ndr1_0)
% 266.20/36.90 | | |
% 266.20/36.90 | | | BETA: splitting (44) gives:
% 266.20/36.90 | | |
% 266.20/36.90 | | | Case 1:
% 266.20/36.90 | | | |
% 266.20/36.90 | | | | (48) hskp22
% 266.20/36.90 | | | |
% 266.20/36.90 | | | | BETA: splitting (47) gives:
% 266.20/36.90 | | | |
% 266.20/36.90 | | | | Case 1:
% 266.20/36.90 | | | | |
% 266.20/36.90 | | | | | (49) hskp9
% 266.20/36.91 | | | | |
% 266.20/36.91 | | | | | PRED_UNIFY: (14), (49) imply:
% 266.20/36.91 | | | | | (50) $false
% 266.20/36.91 | | | | |
% 266.20/36.91 | | | | | CLOSE: (50) is inconsistent.
% 266.20/36.91 | | | | |
% 266.20/36.91 | | | | Case 2:
% 266.20/36.91 | | | | |
% 266.20/36.91 | | | | | (51) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.20/36.91 | | | | | c0_1(v0) | ~ ndr1_0)
% 266.20/36.91 | | | | |
% 266.20/36.91 | | | | | BETA: splitting (6) gives:
% 266.20/36.91 | | | | |
% 266.20/36.91 | | | | | Case 1:
% 266.20/36.91 | | | | | |
% 266.20/36.91 | | | | | | (52) ~ hskp22
% 266.20/36.91 | | | | | |
% 266.20/36.91 | | | | | | PRED_UNIFY: (48), (52) imply:
% 266.20/36.91 | | | | | | (53) $false
% 266.20/36.91 | | | | | |
% 266.20/36.91 | | | | | | CLOSE: (53) is inconsistent.
% 266.20/36.91 | | | | | |
% 266.20/36.91 | | | | | Case 2:
% 266.20/36.91 | | | | | |
% 266.20/36.91 | | | | | | (54) c0_1(a1043) & ndr1_0 & ~ c1_1(a1043) & ~ c2_1(a1043)
% 266.20/36.91 | | | | | |
% 266.20/36.91 | | | | | | ALPHA: (54) implies:
% 266.20/36.91 | | | | | | (55) ~ c2_1(a1043)
% 266.20/36.91 | | | | | | (56) ~ c1_1(a1043)
% 266.20/36.91 | | | | | | (57) ndr1_0
% 266.20/36.91 | | | | | | (58) c0_1(a1043)
% 266.20/36.91 | | | | | |
% 266.20/36.91 | | | | | | BETA: splitting (36) gives:
% 266.20/36.91 | | | | | |
% 266.20/36.91 | | | | | | Case 1:
% 266.20/36.91 | | | | | | |
% 266.20/36.91 | | | | | | | (59) ~ hskp15
% 266.20/36.91 | | | | | | |
% 266.20/36.91 | | | | | | | BETA: splitting (20) gives:
% 266.20/36.91 | | | | | | |
% 266.20/36.91 | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | |
% 266.20/36.91 | | | | | | | | (60) ~ hskp25
% 266.20/36.91 | | | | | | | |
% 266.20/36.91 | | | | | | | | BETA: splitting (28) gives:
% 266.20/36.91 | | | | | | | |
% 266.20/36.91 | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | (61) hskp3
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | PRED_UNIFY: (29), (61) imply:
% 266.20/36.91 | | | | | | | | | (62) $false
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | CLOSE: (62) is inconsistent.
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | (63) hskp25 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.20/36.91 | | | | | | | | | ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | BETA: splitting (63) gives:
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | (64) hskp25
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | PRED_UNIFY: (60), (64) imply:
% 266.20/36.91 | | | | | | | | | | (65) $false
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | CLOSE: (65) is inconsistent.
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | (66) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.91 | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | BETA: splitting (1) gives:
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | (67) hskp15
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | PRED_UNIFY: (59), (67) imply:
% 266.20/36.91 | | | | | | | | | | | (68) $false
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | CLOSE: (68) is inconsistent.
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | REF_CLOSE: (3), (31), (55), (56), (57), (58), (66) are
% 266.20/36.91 | | | | | | | | | | | inconsistent by sub-proof #12.
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | End of split
% 266.20/36.91 | | | | | | | |
% 266.20/36.91 | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | |
% 266.20/36.91 | | | | | | | | (69) c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048)
% 266.20/36.91 | | | | | | | |
% 266.20/36.91 | | | | | | | | ALPHA: (69) implies:
% 266.20/36.91 | | | | | | | | (70) ~ c0_1(a1048)
% 266.20/36.91 | | | | | | | | (71) ~ c3_1(a1048)
% 266.20/36.91 | | | | | | | | (72) c1_1(a1048)
% 266.20/36.91 | | | | | | | |
% 266.20/36.91 | | | | | | | | REF_CLOSE: (9), (22), (26), (27), (38), (40), (41), (57), (70),
% 266.20/36.91 | | | | | | | | (71), (72) are inconsistent by sub-proof #105.
% 266.20/36.91 | | | | | | | |
% 266.20/36.91 | | | | | | | End of split
% 266.20/36.91 | | | | | | |
% 266.20/36.91 | | | | | | Case 2:
% 266.20/36.91 | | | | | | |
% 266.20/36.91 | | | | | | | (73) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.20/36.91 | | | | | | |
% 266.20/36.91 | | | | | | | ALPHA: (73) implies:
% 266.20/36.91 | | | | | | | (74) ~ c0_1(a1026)
% 266.20/36.91 | | | | | | | (75) ~ c1_1(a1026)
% 266.20/36.91 | | | | | | | (76) c2_1(a1026)
% 266.20/36.91 | | | | | | |
% 266.20/36.91 | | | | | | | BETA: splitting (20) gives:
% 266.20/36.91 | | | | | | |
% 266.20/36.91 | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | |
% 266.20/36.91 | | | | | | | | (77) ~ hskp25
% 266.20/36.91 | | | | | | | |
% 266.20/36.91 | | | | | | | | BETA: splitting (28) gives:
% 266.20/36.91 | | | | | | | |
% 266.20/36.91 | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | (78) hskp3
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | PRED_UNIFY: (29), (78) imply:
% 266.20/36.91 | | | | | | | | | (79) $false
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | CLOSE: (79) is inconsistent.
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | (80) hskp25 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.20/36.91 | | | | | | | | | ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | BETA: splitting (80) gives:
% 266.20/36.91 | | | | | | | | |
% 266.20/36.91 | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | (81) hskp25
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | PRED_UNIFY: (77), (81) imply:
% 266.20/36.91 | | | | | | | | | | (82) $false
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | CLOSE: (82) is inconsistent.
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | (83) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.20/36.91 | | | | | | | | | | c3_1(v0) | c2_1(v0))
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | BETA: splitting (12) gives:
% 266.20/36.91 | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | (84) ~ hskp17
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | BETA: splitting (23) gives:
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | (85) hskp12
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | PRED_UNIFY: (15), (85) imply:
% 266.20/36.91 | | | | | | | | | | | | (86) $false
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | CLOSE: (86) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | BETA: splitting (44) gives:
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | BETA: splitting (6) gives:
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | (87) ~ hskp22
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | PRED_UNIFY: (48), (87) imply:
% 266.20/36.91 | | | | | | | | | | | | | | (88) $false
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | CLOSE: (88) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | BETA: splitting (2) gives:
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | (89) hskp17
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | PRED_UNIFY: (84), (89) imply:
% 266.20/36.91 | | | | | | | | | | | | | | | (90) $false
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | CLOSE: (90) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | REF_CLOSE: (3), (31), (55), (56), (57), (58), (83) are
% 266.20/36.91 | | | | | | | | | | | | | | | inconsistent by sub-proof #12.
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | (91) hskp14
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | REF_CLOSE: (16), (17), (83), (91) are inconsistent by
% 266.20/36.91 | | | | | | | | | | | | | sub-proof #154.
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | (92) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~
% 266.20/36.91 | | | | | | | | | | | c0_1(a1032)
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | ALPHA: (92) implies:
% 266.20/36.91 | | | | | | | | | | | (93) ~ c0_1(a1032)
% 266.20/36.91 | | | | | | | | | | | (94) c2_1(a1032)
% 266.20/36.91 | | | | | | | | | | | (95) c3_1(a1032)
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | BETA: splitting (24) gives:
% 266.20/36.91 | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | (96) ~ hskp6
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | BETA: splitting (32) gives:
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | (97) hskp6
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | PRED_UNIFY: (96), (97) imply:
% 266.20/36.91 | | | | | | | | | | | | | (98) $false
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | CLOSE: (98) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | (99) hskp27 | hskp14
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | BETA: splitting (39) gives:
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | (100) hskp6
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | PRED_UNIFY: (96), (100) imply:
% 266.20/36.91 | | | | | | | | | | | | | | (101) $false
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | CLOSE: (101) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | (102) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 266.20/36.91 | | | | | | | | | | | | | | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | BETA: splitting (102) gives:
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | (103) hskp12
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | PRED_UNIFY: (15), (103) imply:
% 266.20/36.91 | | | | | | | | | | | | | | | (104) $false
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | CLOSE: (104) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | (105) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 266.20/36.91 | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | BETA: splitting (25) gives:
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | (106) ~ hskp27
% 266.20/36.91 | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | BETA: splitting (99) gives:
% 266.20/36.91 | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | (107) hskp27
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | PRED_UNIFY: (106), (107) imply:
% 266.20/36.91 | | | | | | | | | | | | | | | | | (108) $false
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | CLOSE: (108) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | (109) hskp14
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | PRED_UNIFY: (30), (109) imply:
% 266.20/36.91 | | | | | | | | | | | | | | | | | (110) $false
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | CLOSE: (110) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | (111) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 266.20/36.91 | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | ALPHA: (111) implies:
% 266.20/36.91 | | | | | | | | | | | | | | | | (112) c0_1(a1029)
% 266.20/36.91 | | | | | | | | | | | | | | | | (113) c2_1(a1029)
% 266.20/36.91 | | | | | | | | | | | | | | | | (114) c3_1(a1029)
% 266.20/36.91 | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 266.20/36.91 | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | (115) ~ hskp4
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | BETA: splitting (4) gives:
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | (116) hskp23
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (33), (116) imply:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | (117) $false
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | CLOSE: (117) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | (118) hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | BETA: splitting (118) gives:
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (119) hskp4
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (115), (119) imply:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (120) $false
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | CLOSE: (120) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (37) with a1029, simplifying with
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (19), (57), (112), (114) gives:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (121) c1_1(a1029)
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (51) with a1029, simplifying with
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (19), (57), (112), (113), (121) gives:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (122) $false
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | CLOSE: (122) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | (123) hskp4
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | BETA: splitting (21) gives:
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | (124) ~ hskp4
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | PRED_UNIFY: (123), (124) imply:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | (125) $false
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | CLOSE: (125) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | (126) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~
% 266.20/36.91 | | | | | | | | | | | | | | | | | | c3_1(a1004)
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | ALPHA: (126) implies:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | (127) ~ c3_1(a1004)
% 266.20/36.91 | | | | | | | | | | | | | | | | | | (128) c2_1(a1004)
% 266.20/36.91 | | | | | | | | | | | | | | | | | | (129) c1_1(a1004)
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | BETA: splitting (34) gives:
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | Case 1:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (130) hskp6
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | PRED_UNIFY: (96), (130) imply:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (131) $false
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | CLOSE: (131) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (105) with a1004, simplifying with
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (8), (57), (127), (129) gives:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (132) c0_1(a1004)
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (51) with a1004, simplifying with
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (8), (57), (128), (129), (132) gives:
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | (133) $false
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | | CLOSE: (133) is inconsistent.
% 266.20/36.91 | | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | End of split
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | Case 2:
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | (134) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~
% 266.20/36.91 | | | | | | | | | | | | c2_1(a1006)
% 266.20/36.91 | | | | | | | | | | | |
% 266.20/36.91 | | | | | | | | | | | | ALPHA: (134) implies:
% 266.20/36.91 | | | | | | | | | | | | (135) ~ c2_1(a1006)
% 266.20/36.91 | | | | | | | | | | | | (136) c0_1(a1006)
% 266.20/36.91 | | | | | | | | | | | | (137) c3_1(a1006)
% 266.20/36.91 | | | | | | | | | | | |
% 266.40/36.91 | | | | | | | | | | | | REF_CLOSE: (5), (7), (8), (10), (13), (18), (21), (35), (57),
% 266.40/36.91 | | | | | | | | | | | | (74), (75), (76), (93), (94), (95), (135), (136),
% 266.40/36.91 | | | | | | | | | | | | (137) are inconsistent by sub-proof #49.
% 266.40/36.91 | | | | | | | | | | | |
% 266.40/36.91 | | | | | | | | | | | End of split
% 266.40/36.91 | | | | | | | | | | |
% 266.40/36.91 | | | | | | | | | | End of split
% 266.40/36.91 | | | | | | | | | |
% 266.40/36.91 | | | | | | | | | End of split
% 266.40/36.91 | | | | | | | | |
% 266.40/36.91 | | | | | | | | End of split
% 266.40/36.91 | | | | | | | |
% 266.40/36.91 | | | | | | | Case 2:
% 266.40/36.91 | | | | | | | |
% 266.40/36.91 | | | | | | | | (138) c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048)
% 266.40/36.91 | | | | | | | |
% 266.40/36.91 | | | | | | | | ALPHA: (138) implies:
% 266.40/36.91 | | | | | | | | (139) ~ c0_1(a1048)
% 266.40/36.91 | | | | | | | | (140) ~ c3_1(a1048)
% 266.40/36.91 | | | | | | | | (141) c1_1(a1048)
% 266.40/36.91 | | | | | | | |
% 266.40/36.91 | | | | | | | | REF_CLOSE: (9), (22), (26), (27), (38), (40), (41), (57), (139),
% 266.40/36.91 | | | | | | | | (140), (141) are inconsistent by sub-proof #105.
% 266.40/36.91 | | | | | | | |
% 266.40/36.92 | | | | | | | End of split
% 266.40/36.92 | | | | | | |
% 266.40/36.92 | | | | | | End of split
% 266.40/36.92 | | | | | |
% 266.40/36.92 | | | | | End of split
% 266.40/36.92 | | | | |
% 266.40/36.92 | | | | End of split
% 266.40/36.92 | | | |
% 266.40/36.92 | | | Case 2:
% 266.40/36.92 | | | |
% 266.40/36.92 | | | | (142) hskp14
% 266.40/36.92 | | | |
% 266.40/36.92 | | | | PRED_UNIFY: (30), (142) imply:
% 266.40/36.92 | | | | (143) $false
% 266.40/36.92 | | | |
% 266.40/36.92 | | | | CLOSE: (143) is inconsistent.
% 266.40/36.92 | | | |
% 266.40/36.92 | | | End of split
% 266.40/36.92 | | |
% 266.40/36.92 | | End of split
% 266.40/36.92 | |
% 266.40/36.92 | End of split
% 266.40/36.92 |
% 266.40/36.92 End of proof
% 266.40/36.92
% 266.40/36.92 Sub-proof #12 shows that the following formulas are inconsistent:
% 266.40/36.92 ----------------------------------------------------------------
% 266.40/36.92 (1) $i(a1043)
% 266.40/36.92 (2) ~ c2_1(a1043)
% 266.40/36.92 (3) c0_1(a1043)
% 266.40/36.92 (4) ~ c1_1(a1043)
% 266.40/36.92 (5) ndr1_0
% 266.40/36.92 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c2_1(v0))
% 266.40/36.92 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.40/36.92
% 266.40/36.92 Begin of proof
% 266.40/36.92 |
% 266.40/36.92 | GROUND_INST: instantiating (7) with a1043, simplifying with (1), (2), (3), (5)
% 266.40/36.92 | gives:
% 266.40/36.92 | (8) c3_1(a1043)
% 266.40/36.92 |
% 266.40/36.92 | GROUND_INST: instantiating (6) with a1043, simplifying with (1), (2), (4),
% 266.40/36.92 | (5), (8) gives:
% 266.40/36.92 | (9) $false
% 266.40/36.92 |
% 266.40/36.92 | CLOSE: (9) is inconsistent.
% 266.40/36.92 |
% 266.40/36.92 End of proof
% 266.40/36.92
% 266.40/36.92 Sub-proof #13 shows that the following formulas are inconsistent:
% 266.40/36.92 ----------------------------------------------------------------
% 266.40/36.92 (1) $i(a1040)
% 266.40/36.92 (2) ~ hskp26 | (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))
% 266.40/36.92 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.40/36.92 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.40/36.92 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.40/36.92 c1_1(v0) | c3_1(v0))
% 266.40/36.92 (4) $i(a1045)
% 266.40/36.92 (5) $i(a1052)
% 266.40/36.92 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.92 c2_1(v0))
% 266.40/36.92 (7) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 266.40/36.92 (8) $i(a1025)
% 266.40/36.92 (9) $i(a1029)
% 266.40/36.92 (10) ~ hskp25 | (c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048))
% 266.40/36.92 (11) ~ hskp24
% 266.40/36.92 (12) hskp29 | hskp26 | hskp3
% 266.40/36.92 (13) ~ c3_1(a1008)
% 266.40/36.92 (14) $i(a1008)
% 266.40/36.92 (15) ~ hskp8
% 266.40/36.92 (16) ~ hskp6 | (c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006))
% 266.40/36.92 (17) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 266.40/36.92 (18) ~ hskp29 | (c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0)
% 266.40/36.92 (19) ~ c1_1(a1008)
% 266.40/36.92 (20) $i(a1048)
% 266.40/36.92 (21) c2_1(a1008)
% 266.40/36.92 (22) hskp25 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.92 c3_1(v0) | c2_1(v0))
% 266.40/36.92 (23) ~ hskp3
% 266.40/36.92 (24) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.40/36.92 (25) hskp27 | hskp14 | hskp6
% 266.40/36.92 (26) $i(a1006)
% 266.40/36.92 (27) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.40/36.92 ~ c0_1(v0) | ~ ndr1_0)
% 266.40/36.92 (28) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.40/36.92 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.40/36.92 ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.40/36.92 (29) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.40/36.92 ~ ndr1_0 | c2_1(v0))
% 266.40/36.92 (30) ~ hskp11
% 266.40/36.92
% 266.40/36.92 Begin of proof
% 266.40/36.92 |
% 266.40/36.92 | BETA: splitting (27) gives:
% 266.40/36.92 |
% 266.40/36.92 | Case 1:
% 266.40/36.92 | |
% 266.40/36.92 | | (31) hskp3
% 266.40/36.92 | |
% 266.40/36.92 | | PRED_UNIFY: (23), (31) imply:
% 266.40/36.92 | | (32) $false
% 266.40/36.92 | |
% 266.40/36.92 | | CLOSE: (32) is inconsistent.
% 266.40/36.92 | |
% 266.40/36.92 | Case 2:
% 266.40/36.92 | |
% 266.40/36.92 | | (33) hskp24 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.40/36.92 | | c0_1(v0) | ~ ndr1_0)
% 266.40/36.92 | |
% 266.40/36.92 | | BETA: splitting (17) gives:
% 266.40/36.92 | |
% 266.40/36.92 | | Case 1:
% 266.40/36.92 | | |
% 266.40/36.92 | | | (34) ~ hskp27
% 266.40/36.92 | | |
% 266.40/36.92 | | | BETA: splitting (10) gives:
% 266.40/36.92 | | |
% 266.40/36.92 | | | Case 1:
% 266.40/36.92 | | | |
% 266.40/36.92 | | | | (35) ~ hskp25
% 266.40/36.92 | | | |
% 266.40/36.92 | | | | BETA: splitting (22) gives:
% 266.40/36.92 | | | |
% 266.40/36.92 | | | | Case 1:
% 266.40/36.92 | | | | |
% 266.40/36.92 | | | | | (36) hskp3
% 266.40/36.92 | | | | |
% 266.40/36.92 | | | | | PRED_UNIFY: (23), (36) imply:
% 266.40/36.92 | | | | | (37) $false
% 266.40/36.92 | | | | |
% 266.40/36.92 | | | | | CLOSE: (37) is inconsistent.
% 266.40/36.92 | | | | |
% 266.40/36.92 | | | | Case 2:
% 266.40/36.92 | | | | |
% 266.40/36.92 | | | | | (38) hskp25 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.92 | | | | | c3_1(v0) | c2_1(v0))
% 266.40/36.92 | | | | |
% 266.40/36.92 | | | | | BETA: splitting (38) gives:
% 266.40/36.92 | | | | |
% 266.40/36.92 | | | | | Case 1:
% 266.40/36.92 | | | | | |
% 266.40/36.92 | | | | | | (39) hskp25
% 266.40/36.92 | | | | | |
% 266.40/36.92 | | | | | | PRED_UNIFY: (35), (39) imply:
% 266.40/36.92 | | | | | | (40) $false
% 266.40/36.92 | | | | | |
% 266.40/36.92 | | | | | | CLOSE: (40) is inconsistent.
% 266.40/36.92 | | | | | |
% 266.40/36.92 | | | | | Case 2:
% 266.40/36.92 | | | | | |
% 266.40/36.92 | | | | | | (41) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.92 | | | | | | c3_1(v0) | c2_1(v0))
% 266.40/36.92 | | | | | |
% 266.40/36.92 | | | | | | REF_CLOSE: (6), (7), (8), (16), (25), (26), (34), (41) are
% 266.40/36.92 | | | | | | inconsistent by sub-proof #14.
% 266.40/36.92 | | | | | |
% 266.40/36.92 | | | | | End of split
% 266.40/36.92 | | | | |
% 266.40/36.92 | | | | End of split
% 266.40/36.92 | | | |
% 266.40/36.92 | | | Case 2:
% 266.40/36.92 | | | |
% 266.40/36.92 | | | | (42) c1_1(a1048) & ndr1_0 & ~ c3_1(a1048) & ~ c0_1(a1048)
% 266.40/36.92 | | | |
% 266.40/36.92 | | | | ALPHA: (42) implies:
% 266.40/36.92 | | | | (43) ~ c0_1(a1048)
% 266.40/36.92 | | | | (44) ~ c3_1(a1048)
% 266.40/36.92 | | | | (45) c1_1(a1048)
% 266.40/36.92 | | | |
% 266.40/36.92 | | | | REF_CLOSE: (1), (2), (3), (4), (5), (9), (12), (13), (14), (15), (17),
% 266.40/36.92 | | | | (18), (19), (20), (21), (23), (24), (27), (28), (29), (30),
% 266.40/36.92 | | | | (43), (44), (45) are inconsistent by sub-proof #75.
% 266.40/36.92 | | | |
% 266.40/36.92 | | | End of split
% 266.40/36.92 | | |
% 266.40/36.92 | | Case 2:
% 266.40/36.92 | | |
% 266.40/36.92 | | | (46) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 266.40/36.92 | | |
% 266.40/36.92 | | | ALPHA: (46) implies:
% 266.40/36.92 | | | (47) ndr1_0
% 266.40/36.92 | | | (48) c0_1(a1029)
% 266.40/36.92 | | | (49) c2_1(a1029)
% 266.40/36.92 | | | (50) c3_1(a1029)
% 266.40/36.92 | | |
% 266.40/36.92 | | | REF_CLOSE: (9), (11), (33), (47), (48), (49), (50) are inconsistent by
% 266.40/36.92 | | | sub-proof #147.
% 266.40/36.92 | | |
% 266.40/36.92 | | End of split
% 266.40/36.92 | |
% 266.40/36.92 | End of split
% 266.40/36.92 |
% 266.40/36.92 End of proof
% 266.40/36.92
% 266.40/36.92 Sub-proof #14 shows that the following formulas are inconsistent:
% 266.40/36.92 ----------------------------------------------------------------
% 266.40/36.92 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.92 c2_1(v0))
% 266.40/36.92 (2) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 266.40/36.92 (3) $i(a1025)
% 266.40/36.92 (4) ~ hskp6 | (c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006))
% 266.40/36.92 (5) ~ hskp27
% 266.40/36.92 (6) hskp27 | hskp14 | hskp6
% 266.40/36.92 (7) $i(a1006)
% 266.40/36.92 (8) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.40/36.92
% 266.40/36.92 Begin of proof
% 266.40/36.92 |
% 266.40/36.92 | BETA: splitting (4) gives:
% 266.40/36.92 |
% 266.40/36.92 | Case 1:
% 266.40/36.92 | |
% 266.40/36.92 | | (9) ~ hskp6
% 266.40/36.92 | |
% 266.40/36.92 | | REF_CLOSE: (2), (3), (5), (6), (8), (9) are inconsistent by sub-proof #153.
% 266.40/36.92 | |
% 266.40/36.92 | Case 2:
% 266.40/36.92 | |
% 266.40/36.92 | | (10) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 266.40/36.92 | |
% 266.40/36.92 | | ALPHA: (10) implies:
% 266.40/36.92 | | (11) ~ c2_1(a1006)
% 266.40/36.92 | | (12) ndr1_0
% 266.40/36.92 | | (13) c0_1(a1006)
% 266.40/36.92 | | (14) c3_1(a1006)
% 266.40/36.92 | |
% 266.40/36.92 | | GROUND_INST: instantiating (1) with a1006, simplifying with (7), (11), (12),
% 266.40/36.92 | | (13), (14) gives:
% 266.40/36.92 | | (15) $false
% 266.40/36.92 | |
% 266.40/36.92 | | CLOSE: (15) is inconsistent.
% 266.40/36.92 | |
% 266.40/36.92 | End of split
% 266.40/36.92 |
% 266.40/36.92 End of proof
% 266.40/36.92
% 266.40/36.92 Sub-proof #15 shows that the following formulas are inconsistent:
% 266.40/36.92 ----------------------------------------------------------------
% 266.40/36.92 (1) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 266.40/36.92 (2) $i(a1010)
% 266.40/36.92 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.92 c1_1(v0))
% 266.40/36.92
% 266.40/36.92 Begin of proof
% 266.40/36.92 |
% 266.40/36.92 | ALPHA: (1) implies:
% 266.40/36.93 | (4) ~ c1_1(a1010)
% 266.40/36.93 | (5) ndr1_0
% 266.40/36.93 | (6) c0_1(a1010)
% 266.40/36.93 | (7) c3_1(a1010)
% 266.40/36.93 |
% 266.40/36.93 | GROUND_INST: instantiating (3) with a1010, simplifying with (2), (4), (5),
% 266.40/36.93 | (6), (7) gives:
% 266.40/36.93 | (8) $false
% 266.40/36.93 |
% 266.40/36.93 | CLOSE: (8) is inconsistent.
% 266.40/36.93 |
% 266.40/36.93 End of proof
% 266.40/36.93
% 266.40/36.93 Sub-proof #16 shows that the following formulas are inconsistent:
% 266.40/36.93 ----------------------------------------------------------------
% 266.40/36.93 (1) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 266.40/36.93 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.93 c2_1(v0))
% 266.40/36.93 (3) $i(a1006)
% 266.40/36.93
% 266.40/36.93 Begin of proof
% 266.40/36.93 |
% 266.40/36.93 | ALPHA: (1) implies:
% 266.40/36.93 | (4) ~ c2_1(a1006)
% 266.40/36.93 | (5) ndr1_0
% 266.40/36.93 | (6) c0_1(a1006)
% 266.40/36.93 | (7) c3_1(a1006)
% 266.40/36.93 |
% 266.40/36.93 | GROUND_INST: instantiating (2) with a1006, simplifying with (3), (4), (5),
% 266.40/36.93 | (6), (7) gives:
% 266.40/36.93 | (8) $false
% 266.40/36.93 |
% 266.40/36.93 | CLOSE: (8) is inconsistent.
% 266.40/36.93 |
% 266.40/36.93 End of proof
% 266.40/36.93
% 266.40/36.93 Sub-proof #17 shows that the following formulas are inconsistent:
% 266.40/36.93 ----------------------------------------------------------------
% 266.40/36.93 (1) $i(a1040)
% 266.40/36.93 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.93 c2_1(v0))
% 266.40/36.93 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.40/36.93 ndr1_0)
% 266.40/36.93 (4) c3_1(a1040)
% 266.40/36.93 (5) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 266.40/36.93 (6) c1_1(a1040)
% 266.40/36.93 (7) ndr1_0
% 266.40/36.93 (8) c0_1(a1040)
% 266.40/36.93
% 266.40/36.93 Begin of proof
% 266.40/36.93 |
% 266.40/36.93 | BETA: splitting (5) gives:
% 266.40/36.93 |
% 266.40/36.93 | Case 1:
% 266.40/36.93 | |
% 266.40/36.93 | |
% 266.40/36.93 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8) are inconsistent by sub-proof
% 266.40/36.93 | | #76.
% 266.40/36.93 | |
% 266.40/36.93 | Case 2:
% 266.40/36.93 | |
% 266.40/36.93 | | (9) c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030)
% 266.40/36.93 | |
% 266.40/36.93 | | GROUND_INST: instantiating (2) with a1040, simplifying with (1), (6), (7),
% 266.40/36.93 | | (8) gives:
% 266.40/36.93 | | (10) c2_1(a1040)
% 266.40/36.93 | |
% 266.40/36.93 | | GROUND_INST: instantiating (3) with a1040, simplifying with (1), (4), (7),
% 266.40/36.93 | | (8), (10) gives:
% 266.40/36.93 | | (11) $false
% 266.40/36.93 | |
% 266.40/36.93 | | CLOSE: (11) is inconsistent.
% 266.40/36.93 | |
% 266.40/36.93 | End of split
% 266.40/36.93 |
% 266.40/36.93 End of proof
% 266.40/36.93
% 266.40/36.93 Sub-proof #18 shows that the following formulas are inconsistent:
% 266.40/36.93 ----------------------------------------------------------------
% 266.40/36.93 (1) hskp28 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.40/36.93 c1_1(v0) | c2_1(v0))
% 266.40/36.93 (2) ~ hskp13 | (c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~ c2_1(a1023))
% 266.40/36.93 (3) $i(a1023)
% 266.40/36.93 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.40/36.93 ndr1_0)
% 266.40/36.93 (5) ~ hskp8
% 266.40/36.93 (6) ~ hskp28 | (c1_1(a1033) & c2_1(a1033) & c0_1(a1033) & ndr1_0)
% 266.40/36.93 (7) hskp13
% 266.40/36.93 (8) $i(a1033)
% 266.40/36.93
% 266.40/36.93 Begin of proof
% 266.40/36.93 |
% 266.40/36.93 | BETA: splitting (2) gives:
% 266.40/36.93 |
% 266.40/36.93 | Case 1:
% 266.40/36.93 | |
% 266.40/36.93 | | (9) ~ hskp13
% 266.40/36.93 | |
% 266.40/36.93 | | PRED_UNIFY: (7), (9) imply:
% 266.40/36.93 | | (10) $false
% 266.40/36.93 | |
% 266.40/36.93 | | CLOSE: (10) is inconsistent.
% 266.40/36.93 | |
% 266.40/36.93 | Case 2:
% 266.40/36.93 | |
% 266.40/36.93 | | (11) c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~ c2_1(a1023)
% 266.40/36.93 | |
% 266.40/36.93 | | ALPHA: (11) implies:
% 266.40/36.93 | | (12) ~ c2_1(a1023)
% 266.40/36.93 | | (13) ~ c1_1(a1023)
% 266.40/36.93 | | (14) ndr1_0
% 266.40/36.93 | | (15) c3_1(a1023)
% 266.40/36.93 | |
% 266.40/36.93 | | REF_CLOSE: (1), (3), (4), (5), (6), (8), (12), (13), (14), (15) are
% 266.40/36.93 | | inconsistent by sub-proof #94.
% 266.40/36.93 | |
% 266.40/36.93 | End of split
% 266.40/36.93 |
% 266.40/36.93 End of proof
% 266.40/36.93
% 266.40/36.93 Sub-proof #19 shows that the following formulas are inconsistent:
% 266.40/36.93 ----------------------------------------------------------------
% 266.40/36.93 (1) $i(a1026)
% 266.40/36.93 (2) ~ c3_1(a1025)
% 266.40/36.93 (3) $i(a1010)
% 266.40/36.93 (4) ~ c1_1(a1010)
% 266.40/36.93 (5) $i(a1025)
% 266.40/36.93 (6) $i(a1029)
% 266.40/36.93 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.93 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.40/36.93 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.40/36.93 | c1_1(v0) | c0_1(v0))
% 266.40/36.93 (8) $i(a1011)
% 266.40/36.93 (9) c2_1(a1026)
% 266.40/36.93 (10) c0_1(a1011)
% 266.40/36.93 (11) c3_1(a1010)
% 266.40/36.93 (12) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 266.40/36.93 (13) ~ c3_1(a1008)
% 266.40/36.93 (14) $i(a1008)
% 266.40/36.93 (15) ~ c0_1(a1026)
% 266.40/36.93 (16) c0_1(a1025)
% 266.40/36.93 (17) c0_1(a1010)
% 266.40/36.93 (18) ~ c1_1(a1008)
% 266.40/36.93 (19) c2_1(a1008)
% 266.40/36.93 (20) ~ c1_1(a1026)
% 266.40/36.93 (21) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.93 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.40/36.93 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.40/36.93 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.40/36.93 (22) ~ c2_1(a1025)
% 266.40/36.93 (23) c1_1(a1011)
% 266.40/36.93 (24) ~ c2_1(a1011)
% 266.40/36.93 (25) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.40/36.93 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.40/36.93 ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.40/36.93 c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 266.40/36.93
% 266.40/36.93 Begin of proof
% 266.40/36.93 |
% 266.40/36.93 | ALPHA: (12) implies:
% 266.40/36.93 | (26) ndr1_0
% 266.40/36.93 | (27) c0_1(a1029)
% 266.40/36.93 | (28) c2_1(a1029)
% 266.40/36.93 | (29) c3_1(a1029)
% 266.40/36.93 |
% 266.40/36.93 | BETA: splitting (21) gives:
% 266.40/36.93 |
% 266.40/36.93 | Case 1:
% 266.40/36.93 | |
% 266.40/36.93 | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.93 | | c1_1(v0))
% 266.40/36.93 | |
% 266.40/36.93 | | REF_CLOSE: (3), (4), (6), (8), (10), (11), (17), (23), (24), (25), (26),
% 266.40/36.93 | | (27), (28), (29), (30) are inconsistent by sub-proof #24.
% 266.40/36.93 | |
% 266.40/36.93 | Case 2:
% 266.40/36.93 | |
% 266.40/36.93 | | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.40/36.93 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.93 | | c3_1(v0) | c2_1(v0))
% 266.40/36.93 | |
% 266.40/36.93 | | BETA: splitting (31) gives:
% 266.40/36.93 | |
% 266.40/36.93 | | Case 1:
% 266.40/36.93 | | |
% 266.40/36.93 | | | (32) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.40/36.93 | | | c0_1(v0))
% 266.40/36.93 | | |
% 266.40/36.93 | | | GROUND_INST: instantiating (32) with a1008, simplifying with (13), (14),
% 266.40/36.93 | | | (19), (26) gives:
% 266.40/36.93 | | | (33) c0_1(a1008)
% 266.40/36.93 | | |
% 266.40/36.93 | | | REF_CLOSE: (1), (7), (8), (9), (10), (14), (15), (18), (19), (20), (23),
% 266.40/36.93 | | | (24), (26), (33) are inconsistent by sub-proof #55.
% 266.40/36.93 | | |
% 266.40/36.93 | | Case 2:
% 266.40/36.93 | | |
% 266.40/36.93 | | | (34) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.40/36.93 | | | c2_1(v0))
% 266.40/36.93 | | |
% 266.40/36.93 | | | GROUND_INST: instantiating (34) with a1025, simplifying with (2), (5),
% 266.40/36.93 | | | (16), (22), (26) gives:
% 266.40/36.93 | | | (35) $false
% 266.40/36.93 | | |
% 266.40/36.93 | | | CLOSE: (35) is inconsistent.
% 266.40/36.93 | | |
% 266.40/36.93 | | End of split
% 266.40/36.93 | |
% 266.40/36.93 | End of split
% 266.40/36.93 |
% 266.40/36.93 End of proof
% 266.40/36.93
% 266.40/36.93 Sub-proof #20 shows that the following formulas are inconsistent:
% 266.40/36.93 ----------------------------------------------------------------
% 266.40/36.93 (1) $i(a1026)
% 266.40/36.93 (2) c2_1(a1001)
% 266.40/36.93 (3) ~ hskp6
% 266.40/36.93 (4) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 266.40/36.93 (5) $i(a1025)
% 266.40/36.93 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.93 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.40/36.93 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.40/36.93 | c1_1(v0) | c0_1(v0))
% 266.40/36.94 (7) $i(a1011)
% 266.40/36.94 (8) c2_1(a1026)
% 266.40/36.94 (9) c0_1(a1011)
% 266.40/36.94 (10) ~ c3_1(a1008)
% 266.40/36.94 (11) $i(a1008)
% 266.40/36.94 (12) ~ c0_1(a1026)
% 266.40/36.94 (13) ~ hskp27
% 266.40/36.94 (14) ~ c1_1(a1001)
% 266.40/36.94 (15) $i(a1001)
% 266.40/36.94 (16) ~ c1_1(a1008)
% 266.40/36.94 (17) c2_1(a1008)
% 266.40/36.94 (18) ndr1_0
% 266.40/36.94 (19) ~ c1_1(a1026)
% 266.40/36.94 (20) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.94 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.40/36.94 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.40/36.94 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.40/36.94 (21) hskp27 | hskp14 | hskp6
% 266.40/36.94 (22) c1_1(a1011)
% 266.40/36.94 (23) c0_1(a1001)
% 266.40/36.94 (24) ~ c2_1(a1011)
% 266.40/36.94
% 266.40/36.94 Begin of proof
% 266.40/36.94 |
% 266.40/36.94 | BETA: splitting (20) gives:
% 266.40/36.94 |
% 266.40/36.94 | Case 1:
% 266.40/36.94 | |
% 266.40/36.94 | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.94 | | c1_1(v0))
% 266.40/36.94 | |
% 266.40/36.94 | | GROUND_INST: instantiating (25) with a1001, simplifying with (2), (14),
% 266.40/36.94 | | (15), (18), (23) gives:
% 266.40/36.94 | | (26) $false
% 266.40/36.94 | |
% 266.40/36.94 | | CLOSE: (26) is inconsistent.
% 266.40/36.94 | |
% 266.40/36.94 | Case 2:
% 266.40/36.94 | |
% 266.40/36.94 | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.40/36.94 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.94 | | c3_1(v0) | c2_1(v0))
% 266.40/36.94 | |
% 266.40/36.94 | | BETA: splitting (27) gives:
% 266.40/36.94 | |
% 266.40/36.94 | | Case 1:
% 266.40/36.94 | | |
% 266.40/36.94 | | | (28) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.40/36.94 | | | c0_1(v0))
% 266.40/36.94 | | |
% 266.40/36.94 | | | GROUND_INST: instantiating (28) with a1008, simplifying with (10), (11),
% 266.40/36.94 | | | (17), (18) gives:
% 266.40/36.94 | | | (29) c0_1(a1008)
% 266.40/36.94 | | |
% 266.40/36.94 | | | REF_CLOSE: (1), (6), (7), (8), (9), (11), (12), (16), (17), (18), (19),
% 266.40/36.94 | | | (22), (24), (29) are inconsistent by sub-proof #55.
% 266.40/36.94 | | |
% 266.40/36.94 | | Case 2:
% 266.40/36.94 | | |
% 266.40/36.94 | | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.40/36.94 | | | c2_1(v0))
% 266.40/36.94 | | |
% 266.40/36.94 | | | REF_CLOSE: (3), (4), (5), (13), (21), (30) are inconsistent by sub-proof
% 266.40/36.94 | | | #153.
% 266.40/36.94 | | |
% 266.40/36.94 | | End of split
% 266.40/36.94 | |
% 266.40/36.94 | End of split
% 266.40/36.94 |
% 266.40/36.94 End of proof
% 266.40/36.94
% 266.40/36.94 Sub-proof #21 shows that the following formulas are inconsistent:
% 266.40/36.94 ----------------------------------------------------------------
% 266.40/36.94 (1) $i(a1026)
% 266.40/36.94 (2) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.40/36.94 (3) ~ c3_1(a1025)
% 266.40/36.94 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.40/36.94 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.40/36.94 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.40/36.94 c1_1(v0) | c3_1(v0))
% 266.40/36.94 (5) ~ c2_1(a1003)
% 266.40/36.94 (6) c2_1(a1001)
% 266.40/36.94 (7) ~ hskp9
% 266.40/36.94 (8) $i(a1025)
% 266.40/36.94 (9) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.94 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.40/36.94 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.40/36.94 | c1_1(v0) | c0_1(v0))
% 266.40/36.94 (10) $i(a1003)
% 266.40/36.94 (11) ~ c3_1(a1008)
% 266.40/36.94 (12) $i(a1008)
% 266.40/36.94 (13) c0_1(a1025)
% 266.40/36.94 (14) ~ c0_1(a1003)
% 266.40/36.94 (15) c3_1(a1003)
% 266.40/36.94 (16) ~ c1_1(a1001)
% 266.40/36.94 (17) $i(a1001)
% 266.40/36.94 (18) ~ c1_1(a1008)
% 266.40/36.94 (19) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.40/36.94 c0_1(v0) | ~ ndr1_0)
% 266.40/36.94 (20) c2_1(a1008)
% 266.40/36.94 (21) $i(a1044)
% 266.40/36.94 (22) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.94 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.40/36.94 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.40/36.94 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.40/36.94 (23) ~ c2_1(a1025)
% 266.40/36.94 (24) c3_1(a1001)
% 266.40/36.94 (25) c1_1(a1044)
% 266.40/36.94 (26) c0_1(a1044)
% 266.40/36.94
% 266.40/36.94 Begin of proof
% 266.40/36.94 |
% 266.40/36.94 | ALPHA: (2) implies:
% 266.40/36.94 | (27) ~ c0_1(a1026)
% 266.40/36.94 | (28) ~ c1_1(a1026)
% 266.40/36.94 | (29) ndr1_0
% 266.40/36.94 | (30) c2_1(a1026)
% 266.40/36.94 |
% 266.40/36.94 | BETA: splitting (4) gives:
% 266.40/36.94 |
% 266.40/36.94 | Case 1:
% 266.40/36.94 | |
% 266.40/36.94 | | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.40/36.94 | | c0_1(v0))
% 266.40/36.94 | |
% 266.40/36.94 | | GROUND_INST: instantiating (31) with a1001, simplifying with (16), (17),
% 266.40/36.94 | | (24), (29) gives:
% 266.40/36.94 | | (32) c0_1(a1001)
% 266.40/36.94 | |
% 266.40/36.94 | | BETA: splitting (22) gives:
% 266.40/36.94 | |
% 266.40/36.94 | | Case 1:
% 266.40/36.94 | | |
% 266.40/36.94 | | | (33) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.94 | | | c1_1(v0))
% 266.40/36.94 | | |
% 266.40/36.94 | | | GROUND_INST: instantiating (33) with a1001, simplifying with (6), (16),
% 266.40/36.94 | | | (17), (29), (32) gives:
% 266.40/36.94 | | | (34) $false
% 266.40/36.94 | | |
% 266.40/36.94 | | | CLOSE: (34) is inconsistent.
% 266.40/36.94 | | |
% 266.40/36.94 | | Case 2:
% 266.40/36.94 | | |
% 266.40/36.94 | | | (35) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.40/36.94 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.40/36.94 | | | c3_1(v0) | c2_1(v0))
% 266.40/36.94 | | |
% 266.40/36.94 | | | BETA: splitting (35) gives:
% 266.40/36.94 | | |
% 266.40/36.94 | | | Case 1:
% 266.40/36.94 | | | |
% 266.40/36.94 | | | | (36) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.40/36.94 | | | | c0_1(v0))
% 266.40/36.94 | | | |
% 266.40/36.94 | | | | REF_CLOSE: (1), (7), (9), (11), (12), (18), (19), (20), (21), (25),
% 266.40/36.94 | | | | (26), (27), (28), (29), (30), (36) are inconsistent by
% 266.40/36.94 | | | | sub-proof #61.
% 266.40/36.94 | | | |
% 266.40/36.94 | | | Case 2:
% 266.40/36.94 | | | |
% 266.40/36.94 | | | | (37) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.40/36.94 | | | | c2_1(v0))
% 266.40/36.94 | | | |
% 266.40/36.94 | | | | GROUND_INST: instantiating (37) with a1025, simplifying with (3), (8),
% 266.40/36.94 | | | | (13), (23), (29) gives:
% 266.40/36.94 | | | | (38) $false
% 266.40/36.94 | | | |
% 266.40/36.94 | | | | CLOSE: (38) is inconsistent.
% 266.40/36.94 | | | |
% 266.40/36.94 | | | End of split
% 266.40/36.94 | | |
% 266.40/36.94 | | End of split
% 266.40/36.94 | |
% 266.40/36.94 | Case 2:
% 266.40/36.94 | |
% 266.40/36.94 | | (39) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.40/36.94 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.40/36.94 | | c1_1(v0) | c3_1(v0))
% 266.40/36.94 | |
% 266.40/36.94 | | REF_CLOSE: (5), (10), (11), (12), (14), (15), (18), (20), (29), (39) are
% 266.40/36.94 | | inconsistent by sub-proof #60.
% 266.40/36.94 | |
% 266.40/36.94 | End of split
% 266.40/36.94 |
% 266.40/36.94 End of proof
% 266.40/36.94
% 266.40/36.94 Sub-proof #22 shows that the following formulas are inconsistent:
% 266.40/36.94 ----------------------------------------------------------------
% 266.40/36.94 (1) $i(a1026)
% 266.40/36.94 (2) c1_1(a1003)
% 266.40/36.94 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.40/36.94 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.40/36.94 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.40/36.94 c1_1(v0) | c3_1(v0))
% 266.40/36.95 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.40/36.95 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.40/36.95 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.40/36.95 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.40/36.95 (5) $i(a1010)
% 266.40/36.95 (6) $i(a1004)
% 266.40/36.95 (7) $i(a1045)
% 266.40/36.95 (8) ~ c2_1(a1003)
% 266.40/36.95 (9) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.40/36.95 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.40/36.95 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.40/36.95 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.40/36.95 (10) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.40/36.95 ~ c0_1(v0) | ~ ndr1_0)
% 266.40/36.95 (11) ~ hskp17 | (c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~ c0_1(a1032))
% 266.40/36.95 (12) $i(a1019)
% 266.40/36.95 (13) c2_1(a1001)
% 266.40/36.95 (14) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 266.40/36.95 (15) $i(a1032)
% 266.40/36.95 (16) ~ c1_1(a1010)
% 266.53/36.95 (17) hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.53/36.95 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.95 c1_1(v0) | c0_1(v0))
% 266.53/36.95 (18) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.95 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.53/36.95 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/36.95 ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.53/36.95 (19) hskp24 | hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.53/36.95 ~ ndr1_0 | c1_1(v0))
% 266.53/36.95 (20) $i(a1011)
% 266.53/36.95 (21) c0_1(a1011)
% 266.53/36.95 (22) $i(a1003)
% 266.53/36.95 (23) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.53/36.95 (24) c3_1(a1010)
% 266.53/36.95 (25) ~ c3_1(a1008)
% 266.53/36.95 (26) $i(a1008)
% 266.53/36.95 (27) hskp22 | hskp14 | hskp12
% 266.53/36.95 (28) ~ c0_1(a1003)
% 266.53/36.95 (29) c0_1(a1010)
% 266.53/36.95 (30) ~ c1_1(a1001)
% 266.53/36.95 (31) $i(a1001)
% 266.53/36.95 (32) ~ c1_1(a1008)
% 266.53/36.95 (33) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.95 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/36.95 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/36.95 (34) c2_1(a1008)
% 266.53/36.95 (35) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.53/36.95 (36) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.53/36.95 (37) $i(a1044)
% 266.53/36.95 (38) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.95 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.53/36.95 ndr1_0 | c3_1(v0))
% 266.53/36.95 (39) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.95 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.95 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.53/36.95 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.53/36.95 (40) ~ c3_1(a1044)
% 266.53/36.95 (41) c3_1(a1001)
% 266.53/36.95 (42) $i(a1006)
% 266.53/36.95 (43) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.53/36.95 (44) ~ hskp15 | (c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026))
% 266.53/36.95 (45) c1_1(a1011)
% 266.53/36.95 (46) c1_1(a1044)
% 266.53/36.95 (47) c0_1(a1044)
% 266.53/36.95 (48) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.95 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.53/36.95 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/36.95 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/36.95 (49) ~ c2_1(a1011)
% 266.53/36.95
% 266.53/36.95 Begin of proof
% 266.53/36.95 |
% 266.53/36.95 | ALPHA: (14) implies:
% 266.53/36.95 | (50) ~ c2_1(a1006)
% 266.53/36.95 | (51) ndr1_0
% 266.53/36.95 | (52) c0_1(a1006)
% 266.53/36.95 | (53) c3_1(a1006)
% 266.53/36.95 |
% 266.53/36.95 | BETA: splitting (11) gives:
% 266.53/36.95 |
% 266.53/36.95 | Case 1:
% 266.53/36.95 | |
% 266.53/36.95 | | (54) ~ hskp17
% 266.53/36.95 | |
% 266.53/36.95 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (12), (13),
% 266.53/36.95 | | (16), (17), (19), (20), (22), (23), (24), (25), (26), (27), (28),
% 266.53/36.95 | | (29), (30), (31), (32), (33), (34), (35), (36), (37), (38), (39),
% 266.53/36.95 | | (40), (41), (42), (43), (44), (46), (47), (48), (50), (51), (52),
% 266.53/36.95 | | (53), (54) are inconsistent by sub-proof #28.
% 266.53/36.95 | |
% 266.53/36.95 | Case 2:
% 266.53/36.95 | |
% 266.53/36.95 | | (55) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~ c0_1(a1032)
% 266.53/36.95 | |
% 266.53/36.95 | | ALPHA: (55) implies:
% 266.53/36.95 | | (56) ~ c0_1(a1032)
% 266.53/36.95 | | (57) c2_1(a1032)
% 266.53/36.95 | | (58) c3_1(a1032)
% 266.53/36.95 | |
% 266.53/36.95 | | BETA: splitting (36) gives:
% 266.53/36.95 | |
% 266.53/36.95 | | Case 1:
% 266.53/36.95 | | |
% 266.53/36.95 | | | (59) ~ hskp24
% 266.53/36.95 | | |
% 266.53/36.95 | | | REF_CLOSE: (1), (4), (5), (6), (13), (16), (17), (19), (23), (24), (29),
% 266.53/36.95 | | | (30), (31), (41), (42), (44), (50), (51), (52), (53), (59) are
% 266.53/36.95 | | | inconsistent by sub-proof #29.
% 266.53/36.95 | | |
% 266.53/36.95 | | Case 2:
% 266.53/36.95 | | |
% 266.53/36.95 | | | (60) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.53/36.95 | | |
% 266.53/36.95 | | | ALPHA: (60) implies:
% 266.53/36.95 | | | (61) ~ c0_1(a1045)
% 266.53/36.95 | | | (62) c3_1(a1045)
% 266.53/36.95 | | | (63) c1_1(a1045)
% 266.53/36.95 | | |
% 266.53/36.95 | | | BETA: splitting (39) gives:
% 266.53/36.95 | | |
% 266.53/36.95 | | | Case 1:
% 266.53/36.95 | | | |
% 266.53/36.95 | | | | (64) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.53/36.95 | | | | | c1_1(v0))
% 266.53/36.95 | | | |
% 266.53/36.95 | | | | BETA: splitting (9) gives:
% 266.53/36.95 | | | |
% 266.53/36.95 | | | | Case 1:
% 266.53/36.95 | | | | |
% 266.53/36.95 | | | | | (65) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/36.95 | | | | | c2_1(v0) | ~ ndr1_0)
% 266.53/36.95 | | | | |
% 266.53/36.95 | | | | | BETA: splitting (3) gives:
% 266.53/36.95 | | | | |
% 266.53/36.95 | | | | | Case 1:
% 266.53/36.95 | | | | | |
% 266.53/36.95 | | | | | | (66) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.53/36.95 | | | | | | c1_1(v0) | c0_1(v0))
% 266.53/36.95 | | | | | |
% 266.53/36.95 | | | | | | GROUND_INST: instantiating (66) with a1001, simplifying with (30),
% 266.53/36.95 | | | | | | (31), (41), (51) gives:
% 266.53/36.95 | | | | | | (67) c0_1(a1001)
% 266.53/36.95 | | | | | |
% 266.53/36.95 | | | | | | GROUND_INST: instantiating (64) with a1001, simplifying with (13),
% 266.53/36.95 | | | | | | (30), (31), (51), (67) gives:
% 266.53/36.95 | | | | | | (68) $false
% 266.53/36.95 | | | | | |
% 266.53/36.95 | | | | | | CLOSE: (68) is inconsistent.
% 266.53/36.95 | | | | | |
% 266.53/36.95 | | | | | Case 2:
% 266.53/36.95 | | | | | |
% 266.53/36.96 | | | | | | (69) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.53/36.96 | | | | | | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 266.53/36.96 | | | | | | c2_1(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0))
% 266.53/36.96 | | | | | |
% 266.53/36.96 | | | | | | BETA: splitting (69) gives:
% 266.53/36.96 | | | | | |
% 266.53/36.96 | | | | | | Case 1:
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | (70) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.53/36.96 | | | | | | | c2_1(v0) | c0_1(v0))
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | REF_CLOSE: (2), (5), (7), (8), (16), (22), (24), (28), (29), (48),
% 266.53/36.96 | | | | | | | (51), (61), (62), (63), (65), (70) are inconsistent by
% 266.53/36.96 | | | | | | | sub-proof #34.
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | Case 2:
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | (71) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.96 | | | | | | | c1_1(v0) | c3_1(v0))
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | GROUND_INST: instantiating (71) with a1008, simplifying with (25),
% 266.53/36.96 | | | | | | | (26), (32), (34), (51) gives:
% 266.53/36.96 | | | | | | | (72) $false
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | CLOSE: (72) is inconsistent.
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | End of split
% 266.53/36.96 | | | | | |
% 266.53/36.96 | | | | | End of split
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | Case 2:
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | | (73) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/36.96 | | | | | ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0)
% 266.53/36.96 | | | | | | ~ c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | | REF_CLOSE: (7), (15), (51), (56), (57), (58), (61), (62), (63), (73)
% 266.53/36.96 | | | | | are inconsistent by sub-proof #58.
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | End of split
% 266.53/36.96 | | | |
% 266.53/36.96 | | | Case 2:
% 266.53/36.96 | | | |
% 266.53/36.96 | | | | (74) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.96 | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.53/36.96 | | | | | c3_1(v0) | c2_1(v0))
% 266.53/36.96 | | | |
% 266.53/36.96 | | | | BETA: splitting (74) gives:
% 266.53/36.96 | | | |
% 266.53/36.96 | | | | Case 1:
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | | (75) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.53/36.96 | | | | | | c0_1(v0))
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | | GROUND_INST: instantiating (75) with a1008, simplifying with (25),
% 266.53/36.96 | | | | | (26), (34), (51) gives:
% 266.53/36.96 | | | | | (76) c0_1(a1008)
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | | BETA: splitting (9) gives:
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | | Case 1:
% 266.53/36.96 | | | | | |
% 266.53/36.96 | | | | | | (77) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/36.96 | | | | | | c2_1(v0) | ~ ndr1_0)
% 266.53/36.96 | | | | | |
% 266.53/36.96 | | | | | | BETA: splitting (18) gives:
% 266.53/36.96 | | | | | |
% 266.53/36.96 | | | | | | Case 1:
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | (78) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.53/36.96 | | | | | | | ndr1_0 | c2_1(v0))
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | GROUND_INST: instantiating (78) with a1011, simplifying with (20),
% 266.53/36.96 | | | | | | | (21), (45), (49), (51) gives:
% 266.53/36.96 | | | | | | | (79) $false
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | CLOSE: (79) is inconsistent.
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | Case 2:
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | (80) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.53/36.96 | | | | | | | ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 266.53/36.96 | | | | | | | c2_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | BETA: splitting (80) gives:
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | Case 1:
% 266.53/36.96 | | | | | | | |
% 266.53/36.96 | | | | | | | | (81) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 266.53/36.96 | | | | | | | | ~ ndr1_0 | c1_1(v0))
% 266.53/36.96 | | | | | | | |
% 266.53/36.96 | | | | | | | | GROUND_INST: instantiating (81) with a1008, simplifying with
% 266.53/36.96 | | | | | | | | (26), (32), (34), (51), (76) gives:
% 266.53/36.96 | | | | | | | | (82) $false
% 266.53/36.96 | | | | | | | |
% 266.53/36.96 | | | | | | | | CLOSE: (82) is inconsistent.
% 266.53/36.96 | | | | | | | |
% 266.53/36.96 | | | | | | | Case 2:
% 266.53/36.96 | | | | | | | |
% 266.53/36.96 | | | | | | | | (83) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.96 | | | | | | | | c1_1(v0) | c0_1(v0))
% 266.53/36.96 | | | | | | | |
% 266.53/36.96 | | | | | | | | GROUND_INST: instantiating (83) with a1032, simplifying with
% 266.53/36.96 | | | | | | | | (15), (51), (56), (57) gives:
% 266.53/36.96 | | | | | | | | (84) c1_1(a1032)
% 266.53/36.96 | | | | | | | |
% 266.53/36.96 | | | | | | | | GROUND_INST: instantiating (77) with a1032, simplifying with
% 266.53/36.96 | | | | | | | | (15), (51), (57), (58), (84) gives:
% 266.53/36.96 | | | | | | | | (85) $false
% 266.53/36.96 | | | | | | | |
% 266.53/36.96 | | | | | | | | CLOSE: (85) is inconsistent.
% 266.53/36.96 | | | | | | | |
% 266.53/36.96 | | | | | | | End of split
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | End of split
% 266.53/36.96 | | | | | |
% 266.53/36.96 | | | | | Case 2:
% 266.53/36.96 | | | | | |
% 266.53/36.96 | | | | | | (86) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/36.96 | | | | | | ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 266.53/36.96 | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.53/36.96 | | | | | |
% 266.53/36.96 | | | | | | BETA: splitting (86) gives:
% 266.53/36.96 | | | | | |
% 266.53/36.96 | | | | | | Case 1:
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | (87) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/36.96 | | | | | | | ndr1_0 | c0_1(v0))
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | GROUND_INST: instantiating (87) with a1045, simplifying with (7),
% 266.53/36.96 | | | | | | | (51), (61), (62), (63) gives:
% 266.53/36.96 | | | | | | | (88) $false
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | CLOSE: (88) is inconsistent.
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | Case 2:
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | (89) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.96 | | | | | | | ndr1_0 | c0_1(v0))
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | GROUND_INST: instantiating (89) with a1032, simplifying with (15),
% 266.53/36.96 | | | | | | | (51), (56), (57), (58) gives:
% 266.53/36.96 | | | | | | | (90) $false
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | | CLOSE: (90) is inconsistent.
% 266.53/36.96 | | | | | | |
% 266.53/36.96 | | | | | | End of split
% 266.53/36.96 | | | | | |
% 266.53/36.96 | | | | | End of split
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | Case 2:
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | | (91) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.53/36.96 | | | | | | c2_1(v0))
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | | GROUND_INST: instantiating (91) with a1044, simplifying with (37),
% 266.53/36.96 | | | | | (40), (47), (51) gives:
% 266.53/36.96 | | | | | (92) c2_1(a1044)
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | | REF_CLOSE: (4), (5), (9), (10), (12), (13), (16), (20), (24), (27),
% 266.53/36.96 | | | | | (29), (30), (31), (35), (37), (40), (41), (43), (46), (47),
% 266.53/36.96 | | | | | (48), (51), (91), (92) are inconsistent by sub-proof #96.
% 266.53/36.96 | | | | |
% 266.53/36.96 | | | | End of split
% 266.53/36.96 | | | |
% 266.53/36.96 | | | End of split
% 266.53/36.96 | | |
% 266.53/36.96 | | End of split
% 266.53/36.96 | |
% 266.53/36.96 | End of split
% 266.53/36.96 |
% 266.53/36.96 End of proof
% 266.53/36.96
% 266.53/36.96 Sub-proof #23 shows that the following formulas are inconsistent:
% 266.53/36.96 ----------------------------------------------------------------
% 266.53/36.96 (1) $i(a1026)
% 266.53/36.96 (2) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.53/36.96 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.96 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.96 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/36.96 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.53/36.96 (4) $i(a1010)
% 266.53/36.96 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.96 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/36.96 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/36.96 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.53/36.96 (6) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.53/36.96 ~ c0_1(v0) | ~ ndr1_0)
% 266.53/36.96 (7) $i(a1019)
% 266.53/36.96 (8) c2_1(a1001)
% 266.53/36.96 (9) ~ c1_1(a1010)
% 266.53/36.96 (10) $i(a1029)
% 266.53/36.96 (11) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.96 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.53/36.96 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/36.96 ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.53/36.96 (12) $i(a1011)
% 266.53/36.96 (13) c0_1(a1011)
% 266.53/36.96 (14) c3_1(a1029)
% 266.53/36.96 (15) c3_1(a1010)
% 266.53/36.96 (16) ~ c3_1(a1008)
% 266.53/36.96 (17) $i(a1008)
% 266.53/36.96 (18) hskp22 | hskp14 | hskp12
% 266.53/36.96 (19) c0_1(a1010)
% 266.53/36.96 (20) c0_1(a1029)
% 266.53/36.96 (21) ~ c1_1(a1001)
% 266.53/36.96 (22) $i(a1001)
% 266.53/36.96 (23) ~ c1_1(a1008)
% 266.53/36.96 (24) c2_1(a1008)
% 266.53/36.96 (25) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.53/36.96 (26) $i(a1044)
% 266.53/36.97 (27) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.97 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.97 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.53/36.97 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.53/36.97 (28) ~ c3_1(a1044)
% 266.53/36.97 (29) c3_1(a1001)
% 266.53/36.97 (30) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.53/36.97 (31) c1_1(a1011)
% 266.53/36.97 (32) c1_1(a1044)
% 266.53/36.97 (33) c0_1(a1044)
% 266.53/36.97 (34) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.97 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.53/36.97 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/36.97 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/36.97 (35) ~ c2_1(a1011)
% 266.53/36.97 (36) c2_1(a1029)
% 266.53/36.97 (37) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.97 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.53/36.97 ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/36.97 c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 266.53/36.97
% 266.53/36.97 Begin of proof
% 266.53/36.97 |
% 266.53/36.97 | ALPHA: (2) implies:
% 266.53/36.97 | (38) ~ c0_1(a1026)
% 266.53/36.97 | (39) ~ c1_1(a1026)
% 266.53/36.97 | (40) ndr1_0
% 266.53/36.97 | (41) c2_1(a1026)
% 266.53/36.97 |
% 266.53/36.97 | BETA: splitting (27) gives:
% 266.53/36.97 |
% 266.53/36.97 | Case 1:
% 266.53/36.97 | |
% 266.53/36.97 | | (42) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.97 | | c1_1(v0))
% 266.53/36.97 | |
% 266.53/36.97 | | REF_CLOSE: (4), (9), (10), (12), (13), (14), (15), (19), (20), (31), (35),
% 266.53/36.97 | | (36), (37), (40), (42) are inconsistent by sub-proof #24.
% 266.53/36.97 | |
% 266.53/36.97 | Case 2:
% 266.53/36.97 | |
% 266.53/36.97 | | (43) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.97 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.97 | | c3_1(v0) | c2_1(v0))
% 266.53/36.97 | |
% 266.53/36.97 | | BETA: splitting (43) gives:
% 266.53/36.97 | |
% 266.53/36.97 | | Case 1:
% 266.53/36.97 | | |
% 266.53/36.97 | | | (44) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.97 | | | c0_1(v0))
% 266.53/36.97 | | |
% 266.53/36.97 | | | GROUND_INST: instantiating (44) with a1008, simplifying with (16), (17),
% 266.53/36.97 | | | (24), (40) gives:
% 266.53/36.97 | | | (45) c0_1(a1008)
% 266.53/36.97 | | |
% 266.53/36.97 | | | REF_CLOSE: (1), (11), (12), (13), (17), (23), (24), (31), (35), (38),
% 266.53/36.97 | | | (39), (40), (41), (45) are inconsistent by sub-proof #55.
% 266.53/36.97 | | |
% 266.53/36.97 | | Case 2:
% 266.53/36.97 | | |
% 266.53/36.97 | | | (46) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.97 | | | c2_1(v0))
% 266.53/36.97 | | |
% 266.53/36.97 | | | GROUND_INST: instantiating (46) with a1044, simplifying with (26), (28),
% 266.53/36.97 | | | (33), (40) gives:
% 266.53/36.97 | | | (47) c2_1(a1044)
% 266.53/36.97 | | |
% 266.53/36.97 | | | REF_CLOSE: (3), (4), (5), (6), (7), (8), (9), (12), (15), (18), (19),
% 266.53/36.97 | | | (21), (22), (25), (26), (28), (29), (30), (32), (33), (34),
% 266.53/36.97 | | | (40), (46), (47) are inconsistent by sub-proof #96.
% 266.53/36.97 | | |
% 266.53/36.97 | | End of split
% 266.53/36.97 | |
% 266.53/36.97 | End of split
% 266.53/36.97 |
% 266.53/36.97 End of proof
% 266.53/36.97
% 266.53/36.97 Sub-proof #24 shows that the following formulas are inconsistent:
% 266.53/36.97 ----------------------------------------------------------------
% 266.53/36.97 (1) $i(a1010)
% 266.53/36.97 (2) ~ c1_1(a1010)
% 266.53/36.97 (3) $i(a1029)
% 266.53/36.97 (4) $i(a1011)
% 266.53/36.97 (5) c0_1(a1011)
% 266.53/36.97 (6) c3_1(a1029)
% 266.53/36.97 (7) c3_1(a1010)
% 266.53/36.97 (8) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.97 c1_1(v0))
% 266.53/36.97 (9) c0_1(a1010)
% 266.53/36.97 (10) c0_1(a1029)
% 266.53/36.97 (11) ndr1_0
% 266.53/36.97 (12) c1_1(a1011)
% 266.53/36.97 (13) ~ c2_1(a1011)
% 266.53/36.97 (14) c2_1(a1029)
% 266.53/36.97 (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.97 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.53/36.97 ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/36.97 c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 266.53/36.97
% 266.53/36.97 Begin of proof
% 266.53/36.97 |
% 266.53/36.97 | BETA: splitting (15) gives:
% 266.53/36.97 |
% 266.53/36.97 | Case 1:
% 266.53/36.97 | |
% 266.53/36.97 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.53/36.97 | | ~ ndr1_0)
% 266.53/36.97 | |
% 266.53/36.97 | | GROUND_INST: instantiating (8) with a1029, simplifying with (3), (10), (11),
% 266.53/36.97 | | (14) gives:
% 266.53/36.97 | | (17) c1_1(a1029)
% 266.53/36.97 | |
% 266.53/36.97 | | GROUND_INST: instantiating (16) with a1029, simplifying with (3), (6), (11),
% 266.53/36.97 | | (14), (17) gives:
% 266.53/36.97 | | (18) $false
% 266.53/36.97 | |
% 266.53/36.97 | | CLOSE: (18) is inconsistent.
% 266.53/36.97 | |
% 266.53/36.97 | Case 2:
% 266.53/36.97 | |
% 266.53/36.97 | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.97 | | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.53/36.97 | | ~ ndr1_0 | c1_1(v0))
% 266.53/36.97 | |
% 266.53/36.97 | | REF_CLOSE: (1), (2), (4), (5), (7), (9), (11), (12), (13), (19) are
% 266.53/36.97 | | inconsistent by sub-proof #35.
% 266.53/36.97 | |
% 266.53/36.97 | End of split
% 266.53/36.97 |
% 266.53/36.97 End of proof
% 266.53/36.97
% 266.53/36.97 Sub-proof #25 shows that the following formulas are inconsistent:
% 266.53/36.97 ----------------------------------------------------------------
% 266.53/36.97 (1) $i(a1026)
% 266.53/36.97 (2) c1_1(a1003)
% 266.53/36.97 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.53/36.97 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/36.97 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.97 c1_1(v0) | c3_1(v0))
% 266.53/36.97 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.97 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.97 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/36.97 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.53/36.97 (5) $i(a1010)
% 266.53/36.97 (6) $i(a1004)
% 266.53/36.97 (7) $i(a1045)
% 266.53/36.97 (8) ~ c2_1(a1003)
% 266.53/36.97 (9) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.97 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/36.97 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/36.97 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.53/36.97 (10) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.53/36.97 ~ c0_1(v0) | ~ ndr1_0)
% 266.53/36.97 (11) $i(a1019)
% 266.53/36.97 (12) c2_1(a1001)
% 266.53/36.97 (13) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 266.53/36.97 (14) ~ c0_1(a1032)
% 266.53/36.97 (15) $i(a1032)
% 266.53/36.97 (16) ~ c1_1(a1010)
% 266.53/36.97 (17) hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.53/36.97 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.97 c1_1(v0) | c0_1(v0))
% 266.53/36.97 (18) hskp24 | hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.53/36.97 ~ ndr1_0 | c1_1(v0))
% 266.53/36.98 (19) $i(a1011)
% 266.53/36.98 (20) $i(a1003)
% 266.53/36.98 (21) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.53/36.98 (22) c3_1(a1010)
% 266.53/36.98 (23) ~ c3_1(a1008)
% 266.53/36.98 (24) $i(a1008)
% 266.53/36.98 (25) hskp22 | hskp14 | hskp12
% 266.53/36.98 (26) c2_1(a1032)
% 266.53/36.98 (27) ~ c0_1(a1003)
% 266.53/36.98 (28) c0_1(a1010)
% 266.53/36.98 (29) c3_1(a1032)
% 266.53/36.98 (30) ~ c1_1(a1001)
% 266.53/36.98 (31) $i(a1001)
% 266.53/36.98 (32) ~ c1_1(a1008)
% 266.53/36.98 (33) c2_1(a1008)
% 266.53/36.98 (34) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.53/36.98 (35) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.53/36.98 (36) $i(a1044)
% 266.53/36.98 (37) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.98 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.98 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.53/36.98 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.53/36.98 (38) ~ c3_1(a1044)
% 266.53/36.98 (39) c3_1(a1001)
% 266.53/36.98 (40) $i(a1006)
% 266.53/36.98 (41) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.53/36.98 (42) ~ hskp15 | (c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026))
% 266.53/36.98 (43) c1_1(a1044)
% 266.53/36.98 (44) c0_1(a1044)
% 266.53/36.98 (45) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.98 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.53/36.98 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/36.98 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/36.98
% 266.53/36.98 Begin of proof
% 266.53/36.98 |
% 266.53/36.98 | ALPHA: (13) implies:
% 266.53/36.98 | (46) ~ c2_1(a1006)
% 266.53/36.98 | (47) ndr1_0
% 266.53/36.98 | (48) c0_1(a1006)
% 266.53/36.98 | (49) c3_1(a1006)
% 266.53/36.98 |
% 266.53/36.98 | BETA: splitting (35) gives:
% 266.53/36.98 |
% 266.53/36.98 | Case 1:
% 266.53/36.98 | |
% 266.53/36.98 | | (50) ~ hskp24
% 266.53/36.98 | |
% 266.53/36.98 | | REF_CLOSE: (1), (4), (5), (6), (12), (16), (17), (18), (21), (22), (28),
% 266.53/36.98 | | (30), (31), (39), (40), (42), (46), (47), (48), (49), (50) are
% 266.53/36.98 | | inconsistent by sub-proof #29.
% 266.53/36.98 | |
% 266.53/36.98 | Case 2:
% 266.53/36.98 | |
% 266.53/36.98 | | (51) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.53/36.98 | |
% 266.53/36.98 | | ALPHA: (51) implies:
% 266.53/36.98 | | (52) ~ c0_1(a1045)
% 266.53/36.98 | | (53) c3_1(a1045)
% 266.53/36.98 | | (54) c1_1(a1045)
% 266.53/36.98 | |
% 266.53/36.98 | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (9), (10), (11), (12), (14), (15),
% 266.53/36.98 | | (16), (19), (20), (22), (23), (24), (25), (26), (27), (28), (29),
% 266.53/36.98 | | (30), (31), (32), (33), (34), (36), (37), (38), (39), (41), (43),
% 266.53/36.98 | | (44), (45), (47), (52), (53), (54) are inconsistent by sub-proof
% 266.53/36.98 | | #26.
% 266.53/36.98 | |
% 266.53/36.98 | End of split
% 266.53/36.98 |
% 266.53/36.98 End of proof
% 266.53/36.98
% 266.53/36.98 Sub-proof #26 shows that the following formulas are inconsistent:
% 266.53/36.98 ----------------------------------------------------------------
% 266.53/36.98 (1) c1_1(a1003)
% 266.53/36.98 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.53/36.98 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/36.98 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.98 c1_1(v0) | c3_1(v0))
% 266.53/36.98 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.98 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.98 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/36.98 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.53/36.98 (4) $i(a1010)
% 266.53/36.98 (5) $i(a1045)
% 266.53/36.98 (6) ~ c2_1(a1003)
% 266.53/36.98 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.98 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/36.98 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/36.98 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.53/36.98 (8) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.53/36.98 ~ c0_1(v0) | ~ ndr1_0)
% 266.53/36.98 (9) $i(a1019)
% 266.53/36.98 (10) c2_1(a1001)
% 266.53/36.98 (11) ~ c0_1(a1032)
% 266.53/36.98 (12) $i(a1032)
% 266.53/36.98 (13) ~ c1_1(a1010)
% 266.53/36.98 (14) $i(a1011)
% 266.53/36.98 (15) $i(a1003)
% 266.53/36.98 (16) c3_1(a1010)
% 266.53/36.98 (17) c1_1(a1045)
% 266.53/36.98 (18) ~ c3_1(a1008)
% 266.53/36.98 (19) $i(a1008)
% 266.53/36.98 (20) hskp22 | hskp14 | hskp12
% 266.53/36.98 (21) c2_1(a1032)
% 266.53/36.98 (22) ~ c0_1(a1003)
% 266.53/36.98 (23) c0_1(a1010)
% 266.53/36.98 (24) c3_1(a1032)
% 266.53/36.98 (25) ~ c1_1(a1001)
% 266.53/36.98 (26) c3_1(a1045)
% 266.53/36.98 (27) $i(a1001)
% 266.53/36.98 (28) ~ c1_1(a1008)
% 266.53/36.98 (29) c2_1(a1008)
% 266.53/36.98 (30) ndr1_0
% 266.53/36.98 (31) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.53/36.98 (32) $i(a1044)
% 266.53/36.98 (33) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.98 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.98 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.53/36.98 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.53/36.98 (34) ~ c3_1(a1044)
% 266.53/36.98 (35) c3_1(a1001)
% 266.53/36.98 (36) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.53/36.98 (37) c1_1(a1044)
% 266.53/36.98 (38) c0_1(a1044)
% 266.53/36.98 (39) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.98 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.53/36.98 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/36.98 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/36.98 (40) ~ c0_1(a1045)
% 266.53/36.98
% 266.53/36.98 Begin of proof
% 266.53/36.98 |
% 266.53/36.98 | BETA: splitting (2) gives:
% 266.53/36.98 |
% 266.53/36.98 | Case 1:
% 266.53/36.98 | |
% 266.53/36.98 | | (41) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.53/36.98 | | c0_1(v0))
% 266.53/36.98 | |
% 266.53/36.98 | | GROUND_INST: instantiating (41) with a1001, simplifying with (25), (27),
% 266.53/36.98 | | (30), (35) gives:
% 266.53/36.98 | | (42) c0_1(a1001)
% 266.53/36.98 | |
% 266.53/36.98 | | BETA: splitting (33) gives:
% 266.53/36.98 | |
% 266.53/36.98 | | Case 1:
% 266.53/36.98 | | |
% 266.53/36.98 | | | (43) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.98 | | | c1_1(v0))
% 266.53/36.98 | | |
% 266.53/36.98 | | | GROUND_INST: instantiating (43) with a1001, simplifying with (10), (25),
% 266.53/36.98 | | | (27), (30), (42) gives:
% 266.53/36.99 | | | (44) $false
% 266.53/36.99 | | |
% 266.53/36.99 | | | CLOSE: (44) is inconsistent.
% 266.53/36.99 | | |
% 266.53/36.99 | | Case 2:
% 266.53/36.99 | | |
% 266.53/36.99 | | | (45) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.99 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/36.99 | | | c3_1(v0) | c2_1(v0))
% 266.53/36.99 | | |
% 266.53/36.99 | | | BETA: splitting (45) gives:
% 266.53/36.99 | | |
% 266.53/36.99 | | | Case 1:
% 266.53/36.99 | | | |
% 266.53/36.99 | | | | (46) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.99 | | | | c0_1(v0))
% 266.53/36.99 | | | |
% 266.53/36.99 | | | | GROUND_INST: instantiating (46) with a1008, simplifying with (18), (19),
% 266.53/36.99 | | | | (29), (30) gives:
% 266.53/36.99 | | | | (47) c0_1(a1008)
% 266.53/36.99 | | | |
% 266.53/36.99 | | | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (11), (12), (13), (15), (16),
% 266.53/36.99 | | | | (17), (18), (19), (21), (22), (23), (24), (26), (28), (29),
% 266.53/36.99 | | | | (30), (39), (40), (47) are inconsistent by sub-proof #57.
% 266.53/36.99 | | | |
% 266.53/36.99 | | | Case 2:
% 266.53/36.99 | | | |
% 266.53/36.99 | | | | (48) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/36.99 | | | | c2_1(v0))
% 266.53/36.99 | | | |
% 266.53/36.99 | | | | GROUND_INST: instantiating (48) with a1044, simplifying with (30), (32),
% 266.53/36.99 | | | | (34), (38) gives:
% 266.53/36.99 | | | | (49) c2_1(a1044)
% 266.53/36.99 | | | |
% 266.53/36.99 | | | | REF_CLOSE: (3), (4), (7), (8), (9), (10), (13), (14), (16), (20), (23),
% 266.53/36.99 | | | | (25), (27), (30), (31), (32), (34), (35), (36), (37), (38),
% 266.53/36.99 | | | | (39), (48), (49) are inconsistent by sub-proof #96.
% 266.53/36.99 | | | |
% 266.53/36.99 | | | End of split
% 266.53/36.99 | | |
% 266.53/36.99 | | End of split
% 266.53/36.99 | |
% 266.53/36.99 | Case 2:
% 266.53/36.99 | |
% 266.53/36.99 | | (50) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/36.99 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.99 | | c1_1(v0) | c3_1(v0))
% 266.53/36.99 | |
% 266.53/36.99 | | BETA: splitting (50) gives:
% 266.53/36.99 | |
% 266.53/36.99 | | Case 1:
% 266.53/36.99 | | |
% 266.53/36.99 | | | (51) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/36.99 | | | c0_1(v0))
% 266.53/36.99 | | |
% 266.53/36.99 | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (13), (14), (15),
% 266.53/36.99 | | | (16), (17), (18), (19), (20), (22), (23), (25), (26), (27),
% 266.53/36.99 | | | (29), (30), (31), (32), (33), (34), (35), (36), (37), (38),
% 266.53/36.99 | | | (39), (40), (51) are inconsistent by sub-proof #33.
% 266.53/36.99 | | |
% 266.53/36.99 | | Case 2:
% 266.53/36.99 | | |
% 266.53/36.99 | | | (52) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.53/36.99 | | | c3_1(v0))
% 266.53/36.99 | | |
% 266.53/36.99 | | | GROUND_INST: instantiating (52) with a1008, simplifying with (18), (19),
% 266.53/36.99 | | | (28), (29), (30) gives:
% 266.53/36.99 | | | (53) $false
% 266.53/36.99 | | |
% 266.53/36.99 | | | CLOSE: (53) is inconsistent.
% 266.53/36.99 | | |
% 266.53/36.99 | | End of split
% 266.53/36.99 | |
% 266.53/36.99 | End of split
% 266.53/36.99 |
% 266.53/36.99 End of proof
% 266.53/36.99
% 266.53/36.99 Sub-proof #27 shows that the following formulas are inconsistent:
% 266.53/36.99 ----------------------------------------------------------------
% 266.53/36.99 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.53/36.99 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/36.99 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.99 c1_1(v0) | c3_1(v0))
% 266.53/36.99 (2) $i(a1010)
% 266.53/36.99 (3) ~ hskp15
% 266.53/36.99 (4) $i(a1045)
% 266.53/36.99 (5) ~ c2_1(a1003)
% 266.53/36.99 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.99 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/36.99 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/36.99 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.53/36.99 (7) ~ c0_1(a1032)
% 266.53/36.99 (8) $i(a1032)
% 266.53/36.99 (9) ~ c1_1(a1010)
% 266.53/36.99 (10) hskp24 | hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.53/36.99 ~ ndr1_0 | c1_1(v0))
% 266.53/36.99 (11) $i(a1003)
% 266.53/36.99 (12) c3_1(a1010)
% 266.53/36.99 (13) ~ c3_1(a1008)
% 266.53/36.99 (14) $i(a1008)
% 266.53/36.99 (15) c2_1(a1032)
% 266.53/36.99 (16) ~ c0_1(a1003)
% 266.53/36.99 (17) c3_1(a1003)
% 266.53/36.99 (18) c0_1(a1010)
% 266.53/36.99 (19) c3_1(a1032)
% 266.53/36.99 (20) ~ c1_1(a1008)
% 266.53/36.99 (21) c2_1(a1008)
% 266.53/36.99 (22) ndr1_0
% 266.53/36.99 (23) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.53/36.99
% 266.53/36.99 Begin of proof
% 266.53/36.99 |
% 266.53/36.99 | BETA: splitting (23) gives:
% 266.53/36.99 |
% 266.53/36.99 | Case 1:
% 266.53/36.99 | |
% 266.53/36.99 | | (24) ~ hskp24
% 266.53/36.99 | |
% 266.53/36.99 | | REF_CLOSE: (2), (3), (9), (10), (12), (18), (22), (24) are inconsistent by
% 266.53/36.99 | | sub-proof #84.
% 266.53/36.99 | |
% 266.53/36.99 | Case 2:
% 266.53/36.99 | |
% 266.53/36.99 | | (25) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.53/36.99 | |
% 266.53/36.99 | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (11), (13), (14), (15), (16), (17),
% 266.53/36.99 | | (19), (20), (21), (25) are inconsistent by sub-proof #50.
% 266.53/36.99 | |
% 266.53/36.99 | End of split
% 266.53/36.99 |
% 266.53/36.99 End of proof
% 266.53/36.99
% 266.53/36.99 Sub-proof #28 shows that the following formulas are inconsistent:
% 266.53/36.99 ----------------------------------------------------------------
% 266.53/36.99 (1) $i(a1026)
% 266.53/36.99 (2) c1_1(a1003)
% 266.53/36.99 (3) ~ c2_1(a1006)
% 266.53/36.99 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.53/36.99 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/36.99 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.99 c1_1(v0) | c3_1(v0))
% 266.53/36.99 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.99 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.99 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/36.99 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.53/36.99 (6) $i(a1010)
% 266.53/36.99 (7) c3_1(a1006)
% 266.53/36.99 (8) $i(a1004)
% 266.53/36.99 (9) $i(a1045)
% 266.53/36.99 (10) ~ c2_1(a1003)
% 266.53/36.99 (11) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.99 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/36.99 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/36.99 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.53/36.99 (12) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.53/36.99 ~ c0_1(v0) | ~ ndr1_0)
% 266.53/36.99 (13) $i(a1019)
% 266.53/36.99 (14) c2_1(a1001)
% 266.53/36.99 (15) ~ c1_1(a1010)
% 266.53/36.99 (16) hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.53/36.99 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/36.99 c1_1(v0) | c0_1(v0))
% 266.53/36.99 (17) hskp24 | hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.53/36.99 ~ ndr1_0 | c1_1(v0))
% 266.53/36.99 (18) $i(a1011)
% 266.53/36.99 (19) $i(a1003)
% 266.53/36.99 (20) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.53/36.99 (21) c3_1(a1010)
% 266.53/36.99 (22) ~ c3_1(a1008)
% 266.53/36.99 (23) $i(a1008)
% 266.53/36.99 (24) hskp22 | hskp14 | hskp12
% 266.53/36.99 (25) ~ c0_1(a1003)
% 266.53/36.99 (26) c0_1(a1010)
% 266.53/36.99 (27) ~ c1_1(a1001)
% 266.53/36.99 (28) $i(a1001)
% 266.53/36.99 (29) ~ c1_1(a1008)
% 266.53/36.99 (30) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.53/36.99 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/36.99 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/36.99 (31) c2_1(a1008)
% 266.53/36.99 (32) ndr1_0
% 266.53/37.00 (33) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.53/37.00 (34) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.53/37.00 (35) $i(a1044)
% 266.53/37.00 (36) ~ hskp17
% 266.53/37.00 (37) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.00 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.53/37.00 ndr1_0 | c3_1(v0))
% 266.53/37.00 (38) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/37.00 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.00 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.53/37.00 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.53/37.00 (39) ~ c3_1(a1044)
% 266.53/37.00 (40) c3_1(a1001)
% 266.53/37.00 (41) $i(a1006)
% 266.53/37.00 (42) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.53/37.00 (43) ~ hskp15 | (c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026))
% 266.53/37.00 (44) c1_1(a1044)
% 266.53/37.00 (45) c0_1(a1044)
% 266.53/37.00 (46) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.00 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.53/37.00 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/37.00 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/37.00 (47) c0_1(a1006)
% 266.53/37.00
% 266.53/37.00 Begin of proof
% 266.53/37.00 |
% 266.53/37.00 | BETA: splitting (43) gives:
% 266.53/37.00 |
% 266.53/37.00 | Case 1:
% 266.53/37.00 | |
% 266.53/37.00 | | (48) ~ hskp15
% 266.53/37.00 | |
% 266.53/37.00 | | BETA: splitting (34) gives:
% 266.53/37.00 | |
% 266.53/37.00 | | Case 1:
% 266.53/37.00 | | |
% 266.53/37.00 | | | (49) ~ hskp24
% 266.53/37.00 | | |
% 266.53/37.00 | | | REF_CLOSE: (1), (3), (5), (6), (7), (8), (14), (15), (16), (17), (20),
% 266.53/37.00 | | | (21), (26), (27), (28), (32), (40), (41), (43), (47), (49) are
% 266.53/37.00 | | | inconsistent by sub-proof #29.
% 266.53/37.00 | | |
% 266.53/37.00 | | Case 2:
% 266.53/37.00 | | |
% 266.53/37.00 | | | (50) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.53/37.00 | | |
% 266.53/37.00 | | | REF_CLOSE: (2), (4), (5), (6), (9), (10), (11), (12), (13), (14), (15),
% 266.53/37.00 | | | (18), (19), (21), (22), (23), (24), (25), (26), (27), (28),
% 266.53/37.00 | | | (29), (30), (31), (33), (35), (36), (37), (38), (39), (40),
% 266.53/37.00 | | | (42), (44), (45), (46), (48), (50) are inconsistent by
% 266.53/37.00 | | | sub-proof #32.
% 266.53/37.00 | | |
% 266.53/37.00 | | End of split
% 266.53/37.00 | |
% 266.53/37.00 | Case 2:
% 266.53/37.00 | |
% 266.53/37.00 | | (51) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.53/37.00 | |
% 266.53/37.00 | | REF_CLOSE: (1), (3), (5), (7), (8), (14), (16), (20), (27), (28), (40),
% 266.53/37.00 | | (41), (47), (51) are inconsistent by sub-proof #80.
% 266.53/37.00 | |
% 266.53/37.00 | End of split
% 266.53/37.00 |
% 266.53/37.00 End of proof
% 266.53/37.00
% 266.53/37.00 Sub-proof #29 shows that the following formulas are inconsistent:
% 266.53/37.00 ----------------------------------------------------------------
% 266.53/37.00 (1) $i(a1026)
% 266.53/37.00 (2) ~ c2_1(a1006)
% 266.53/37.00 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.00 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.00 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/37.00 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.53/37.00 (4) $i(a1010)
% 266.53/37.00 (5) c3_1(a1006)
% 266.53/37.00 (6) $i(a1004)
% 266.53/37.00 (7) c2_1(a1001)
% 266.53/37.00 (8) ~ c1_1(a1010)
% 266.53/37.00 (9) hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.53/37.00 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.00 c1_1(v0) | c0_1(v0))
% 266.53/37.00 (10) hskp24 | hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.53/37.00 ~ ndr1_0 | c1_1(v0))
% 266.53/37.00 (11) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.53/37.00 (12) ~ hskp24
% 266.53/37.00 (13) c3_1(a1010)
% 266.53/37.00 (14) c0_1(a1010)
% 266.53/37.00 (15) ~ c1_1(a1001)
% 266.53/37.00 (16) $i(a1001)
% 266.53/37.00 (17) ndr1_0
% 266.53/37.00 (18) c3_1(a1001)
% 266.53/37.00 (19) $i(a1006)
% 266.53/37.00 (20) ~ hskp15 | (c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026))
% 266.53/37.00 (21) c0_1(a1006)
% 266.53/37.00
% 266.53/37.00 Begin of proof
% 266.53/37.00 |
% 266.53/37.00 | BETA: splitting (20) gives:
% 266.53/37.00 |
% 266.53/37.00 | Case 1:
% 266.53/37.00 | |
% 266.53/37.00 | | (22) ~ hskp15
% 266.53/37.00 | |
% 266.53/37.00 | | REF_CLOSE: (4), (8), (10), (12), (13), (14), (17), (22) are inconsistent by
% 266.53/37.00 | | sub-proof #84.
% 266.53/37.00 | |
% 266.53/37.00 | Case 2:
% 266.53/37.00 | |
% 266.53/37.00 | | (23) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.53/37.00 | |
% 266.53/37.00 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (9), (11), (15), (16), (18), (19),
% 266.53/37.00 | | (21), (23) are inconsistent by sub-proof #80.
% 266.53/37.00 | |
% 266.53/37.00 | End of split
% 266.53/37.00 |
% 266.53/37.00 End of proof
% 266.53/37.00
% 266.53/37.00 Sub-proof #30 shows that the following formulas are inconsistent:
% 266.53/37.00 ----------------------------------------------------------------
% 266.53/37.00 (1) $i(a1026)
% 266.53/37.00 (2) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.53/37.00 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.53/37.00 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/37.00 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.00 c1_1(v0) | c3_1(v0))
% 266.53/37.00 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.00 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.00 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/37.00 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.53/37.00 (5) $i(a1010)
% 266.53/37.00 (6) ~ c2_1(a1003)
% 266.53/37.00 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.00 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/37.00 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/37.00 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.53/37.00 (8) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.53/37.00 ~ c0_1(v0) | ~ ndr1_0)
% 266.53/37.00 (9) $i(a1019)
% 266.53/37.00 (10) c2_1(a1001)
% 266.53/37.00 (11) ~ c1_1(a1010)
% 266.53/37.00 (12) ~ hskp9
% 266.53/37.00 (13) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/37.00 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.53/37.00 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/37.00 ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.53/37.00 (14) $i(a1011)
% 266.53/37.00 (15) $i(a1003)
% 266.53/37.00 (16) c3_1(a1010)
% 266.53/37.00 (17) ~ c3_1(a1008)
% 266.53/37.00 (18) $i(a1008)
% 266.53/37.00 (19) hskp22 | hskp14 | hskp12
% 266.53/37.00 (20) ~ c0_1(a1003)
% 266.53/37.00 (21) c3_1(a1003)
% 266.53/37.00 (22) c0_1(a1010)
% 266.53/37.00 (23) ~ c1_1(a1001)
% 266.53/37.00 (24) $i(a1001)
% 266.53/37.00 (25) ~ c1_1(a1008)
% 266.53/37.01 (26) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.01 c0_1(v0) | ~ ndr1_0)
% 266.53/37.01 (27) c2_1(a1008)
% 266.53/37.01 (28) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.53/37.01 (29) $i(a1044)
% 266.53/37.01 (30) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/37.01 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.01 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.53/37.01 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.53/37.01 (31) ~ c3_1(a1044)
% 266.53/37.01 (32) c3_1(a1001)
% 266.53/37.01 (33) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.53/37.01 (34) c1_1(a1044)
% 266.53/37.01 (35) c0_1(a1044)
% 266.53/37.01 (36) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.01 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.53/37.01 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/37.01 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/37.01
% 266.53/37.01 Begin of proof
% 266.53/37.01 |
% 266.53/37.01 | ALPHA: (2) implies:
% 266.53/37.01 | (37) ~ c0_1(a1026)
% 266.53/37.01 | (38) ~ c1_1(a1026)
% 266.53/37.01 | (39) ndr1_0
% 266.53/37.01 | (40) c2_1(a1026)
% 266.53/37.01 |
% 266.53/37.01 | BETA: splitting (3) gives:
% 266.53/37.01 |
% 266.53/37.01 | Case 1:
% 266.53/37.01 | |
% 266.53/37.01 | | (41) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.53/37.01 | | c0_1(v0))
% 266.53/37.01 | |
% 266.53/37.01 | | GROUND_INST: instantiating (41) with a1001, simplifying with (23), (24),
% 266.53/37.01 | | (32), (39) gives:
% 266.53/37.01 | | (42) c0_1(a1001)
% 266.53/37.01 | |
% 266.53/37.01 | | BETA: splitting (30) gives:
% 266.53/37.01 | |
% 266.53/37.01 | | Case 1:
% 266.53/37.01 | | |
% 266.53/37.01 | | | (43) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/37.01 | | | c1_1(v0))
% 266.53/37.01 | | |
% 266.53/37.01 | | | GROUND_INST: instantiating (43) with a1001, simplifying with (10), (23),
% 266.53/37.01 | | | (24), (39), (42) gives:
% 266.53/37.01 | | | (44) $false
% 266.53/37.01 | | |
% 266.53/37.01 | | | CLOSE: (44) is inconsistent.
% 266.53/37.01 | | |
% 266.53/37.01 | | Case 2:
% 266.53/37.01 | | |
% 266.53/37.01 | | | (45) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.01 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/37.01 | | | c3_1(v0) | c2_1(v0))
% 266.53/37.01 | | |
% 266.53/37.01 | | | BETA: splitting (45) gives:
% 266.53/37.01 | | |
% 266.53/37.01 | | | Case 1:
% 266.53/37.01 | | | |
% 266.53/37.01 | | | | (46) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.01 | | | | c0_1(v0))
% 266.53/37.01 | | | |
% 266.53/37.01 | | | | REF_CLOSE: (1), (12), (13), (17), (18), (25), (26), (27), (29), (34),
% 266.53/37.01 | | | | (35), (37), (38), (39), (40), (46) are inconsistent by
% 266.53/37.01 | | | | sub-proof #61.
% 266.53/37.01 | | | |
% 266.53/37.01 | | | Case 2:
% 266.53/37.01 | | | |
% 266.53/37.01 | | | | (47) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.01 | | | | c2_1(v0))
% 266.53/37.01 | | | |
% 266.53/37.01 | | | | GROUND_INST: instantiating (47) with a1044, simplifying with (29), (31),
% 266.53/37.01 | | | | (35), (39) gives:
% 266.53/37.01 | | | | (48) c2_1(a1044)
% 266.53/37.01 | | | |
% 266.53/37.01 | | | | REF_CLOSE: (4), (5), (7), (8), (9), (10), (11), (14), (16), (19), (22),
% 266.53/37.01 | | | | (23), (24), (28), (29), (31), (32), (33), (34), (35), (36),
% 266.53/37.01 | | | | (39), (47), (48) are inconsistent by sub-proof #96.
% 266.53/37.01 | | | |
% 266.53/37.01 | | | End of split
% 266.53/37.01 | | |
% 266.53/37.01 | | End of split
% 266.53/37.01 | |
% 266.53/37.01 | Case 2:
% 266.53/37.01 | |
% 266.53/37.01 | | (49) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/37.01 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.01 | | c1_1(v0) | c3_1(v0))
% 266.53/37.01 | |
% 266.53/37.01 | | BETA: splitting (49) gives:
% 266.53/37.01 | |
% 266.53/37.01 | | Case 1:
% 266.53/37.01 | | |
% 266.53/37.01 | | | (50) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/37.01 | | | c0_1(v0))
% 266.53/37.01 | | |
% 266.53/37.01 | | | GROUND_INST: instantiating (50) with a1003, simplifying with (6), (15),
% 266.53/37.01 | | | (20), (21), (39) gives:
% 266.53/37.01 | | | (51) $false
% 266.53/37.01 | | |
% 266.53/37.01 | | | CLOSE: (51) is inconsistent.
% 266.53/37.01 | | |
% 266.53/37.01 | | Case 2:
% 266.53/37.01 | | |
% 266.53/37.01 | | | (52) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.53/37.01 | | | c3_1(v0))
% 266.53/37.01 | | |
% 266.53/37.01 | | | GROUND_INST: instantiating (52) with a1008, simplifying with (17), (18),
% 266.53/37.01 | | | (25), (27), (39) gives:
% 266.53/37.01 | | | (53) $false
% 266.53/37.01 | | |
% 266.53/37.01 | | | CLOSE: (53) is inconsistent.
% 266.53/37.01 | | |
% 266.53/37.01 | | End of split
% 266.53/37.01 | |
% 266.53/37.01 | End of split
% 266.53/37.01 |
% 266.53/37.01 End of proof
% 266.53/37.01
% 266.53/37.01 Sub-proof #31 shows that the following formulas are inconsistent:
% 266.53/37.01 ----------------------------------------------------------------
% 266.53/37.01 (1) c1_1(a1003)
% 266.53/37.01 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.53/37.01 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/37.01 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.01 c1_1(v0) | c3_1(v0))
% 266.53/37.01 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.01 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.01 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/37.01 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.53/37.01 (4) $i(a1010)
% 266.53/37.01 (5) ~ hskp15
% 266.53/37.01 (6) $i(a1045)
% 266.53/37.01 (7) ~ c2_1(a1003)
% 266.53/37.01 (8) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.01 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/37.01 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/37.01 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.53/37.01 (9) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.53/37.01 ~ c0_1(v0) | ~ ndr1_0)
% 266.53/37.01 (10) $i(a1019)
% 266.53/37.01 (11) c2_1(a1001)
% 266.53/37.01 (12) ~ c1_1(a1010)
% 266.53/37.01 (13) hskp24 | hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.53/37.01 ~ ndr1_0 | c1_1(v0))
% 266.53/37.01 (14) $i(a1011)
% 266.53/37.01 (15) $i(a1003)
% 266.53/37.01 (16) c3_1(a1010)
% 266.53/37.01 (17) ~ c3_1(a1008)
% 266.53/37.01 (18) $i(a1008)
% 266.53/37.01 (19) hskp22 | hskp14 | hskp12
% 266.53/37.01 (20) ~ c0_1(a1003)
% 266.53/37.01 (21) c0_1(a1010)
% 266.53/37.01 (22) ~ c1_1(a1001)
% 266.53/37.01 (23) $i(a1001)
% 266.53/37.01 (24) ~ c1_1(a1008)
% 266.53/37.01 (25) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.01 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/37.01 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/37.01 (26) c2_1(a1008)
% 266.53/37.01 (27) ndr1_0
% 266.53/37.01 (28) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.53/37.01 (29) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.53/37.01 (30) $i(a1044)
% 266.53/37.01 (31) ~ hskp17
% 266.53/37.01 (32) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.01 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.53/37.01 ndr1_0 | c3_1(v0))
% 266.53/37.02 (33) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/37.02 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.02 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.53/37.02 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.53/37.02 (34) ~ c3_1(a1044)
% 266.53/37.02 (35) c3_1(a1001)
% 266.53/37.02 (36) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.53/37.02 (37) c1_1(a1044)
% 266.53/37.02 (38) c0_1(a1044)
% 266.53/37.02 (39) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.02 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.53/37.02 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/37.02 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/37.02
% 266.53/37.02 Begin of proof
% 266.53/37.02 |
% 266.53/37.02 | BETA: splitting (29) gives:
% 266.53/37.02 |
% 266.53/37.02 | Case 1:
% 266.53/37.02 | |
% 266.53/37.02 | | (40) ~ hskp24
% 266.53/37.02 | |
% 266.53/37.02 | | REF_CLOSE: (4), (5), (12), (13), (16), (21), (27), (40) are inconsistent by
% 266.53/37.02 | | sub-proof #84.
% 266.53/37.02 | |
% 266.53/37.02 | Case 2:
% 266.53/37.02 | |
% 266.53/37.02 | | (41) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.53/37.02 | |
% 266.53/37.02 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 266.53/37.02 | | (14), (15), (16), (17), (18), (19), (20), (21), (22), (23), (24),
% 266.53/37.02 | | (25), (26), (28), (30), (31), (32), (33), (34), (35), (36), (37),
% 266.53/37.02 | | (38), (39), (41) are inconsistent by sub-proof #32.
% 266.53/37.02 | |
% 266.53/37.02 | End of split
% 266.53/37.02 |
% 266.53/37.02 End of proof
% 266.53/37.02
% 266.53/37.02 Sub-proof #32 shows that the following formulas are inconsistent:
% 266.53/37.02 ----------------------------------------------------------------
% 266.53/37.02 (1) c1_1(a1003)
% 266.53/37.02 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.53/37.02 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/37.02 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.02 c1_1(v0) | c3_1(v0))
% 266.53/37.02 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.02 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.02 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/37.02 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.53/37.02 (4) $i(a1010)
% 266.53/37.02 (5) ~ hskp15
% 266.53/37.02 (6) $i(a1045)
% 266.53/37.02 (7) ~ c2_1(a1003)
% 266.53/37.02 (8) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.02 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/37.02 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/37.02 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.53/37.02 (9) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.53/37.02 ~ c0_1(v0) | ~ ndr1_0)
% 266.53/37.02 (10) $i(a1019)
% 266.53/37.02 (11) c2_1(a1001)
% 266.53/37.02 (12) ~ c1_1(a1010)
% 266.53/37.02 (13) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.53/37.02 (14) $i(a1011)
% 266.53/37.02 (15) $i(a1003)
% 266.53/37.02 (16) c3_1(a1010)
% 266.53/37.02 (17) ~ c3_1(a1008)
% 266.53/37.02 (18) $i(a1008)
% 266.53/37.02 (19) hskp22 | hskp14 | hskp12
% 266.53/37.02 (20) ~ c0_1(a1003)
% 266.53/37.02 (21) c0_1(a1010)
% 266.53/37.02 (22) ~ c1_1(a1001)
% 266.53/37.02 (23) $i(a1001)
% 266.53/37.02 (24) ~ c1_1(a1008)
% 266.53/37.02 (25) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.02 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/37.02 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/37.02 (26) c2_1(a1008)
% 266.53/37.02 (27) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.53/37.02 (28) $i(a1044)
% 266.53/37.02 (29) ~ hskp17
% 266.53/37.02 (30) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.02 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.53/37.02 ndr1_0 | c3_1(v0))
% 266.53/37.02 (31) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/37.02 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.02 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.53/37.02 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.53/37.02 (32) ~ c3_1(a1044)
% 266.53/37.02 (33) c3_1(a1001)
% 266.53/37.02 (34) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.53/37.02 (35) c1_1(a1044)
% 266.53/37.02 (36) c0_1(a1044)
% 266.53/37.02 (37) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.02 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.53/37.02 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/37.02 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/37.02
% 266.53/37.02 Begin of proof
% 266.53/37.02 |
% 266.53/37.02 | ALPHA: (13) implies:
% 266.53/37.02 | (38) ~ c0_1(a1045)
% 266.53/37.02 | (39) ndr1_0
% 266.53/37.02 | (40) c3_1(a1045)
% 266.53/37.02 | (41) c1_1(a1045)
% 266.53/37.02 |
% 266.53/37.02 | BETA: splitting (30) gives:
% 266.53/37.02 |
% 266.53/37.02 | Case 1:
% 266.53/37.02 | |
% 266.53/37.02 | | (42) hskp15
% 266.53/37.02 | |
% 266.53/37.02 | | PRED_UNIFY: (5), (42) imply:
% 266.53/37.02 | | (43) $false
% 266.53/37.02 | |
% 266.53/37.02 | | CLOSE: (43) is inconsistent.
% 266.53/37.02 | |
% 266.53/37.02 | Case 2:
% 266.53/37.02 | |
% 266.53/37.02 | | (44) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.02 | | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 266.53/37.02 | | ~ ndr1_0 | c3_1(v0))
% 266.53/37.02 | |
% 266.53/37.02 | | BETA: splitting (2) gives:
% 266.53/37.02 | |
% 266.53/37.02 | | Case 1:
% 266.53/37.02 | | |
% 266.53/37.02 | | | (45) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.53/37.02 | | | c0_1(v0))
% 266.53/37.02 | | |
% 266.53/37.02 | | | GROUND_INST: instantiating (45) with a1001, simplifying with (22), (23),
% 266.53/37.02 | | | (33), (39) gives:
% 266.53/37.02 | | | (46) c0_1(a1001)
% 266.53/37.02 | | |
% 266.53/37.02 | | | BETA: splitting (31) gives:
% 266.53/37.02 | | |
% 266.53/37.02 | | | Case 1:
% 266.53/37.02 | | | |
% 266.53/37.02 | | | | (47) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.53/37.02 | | | | | c1_1(v0))
% 266.53/37.02 | | | |
% 266.53/37.02 | | | | GROUND_INST: instantiating (47) with a1001, simplifying with (11), (22),
% 266.53/37.02 | | | | (23), (39), (46) gives:
% 266.53/37.02 | | | | (48) $false
% 266.53/37.02 | | | |
% 266.53/37.02 | | | | CLOSE: (48) is inconsistent.
% 266.53/37.02 | | | |
% 266.53/37.02 | | | Case 2:
% 266.53/37.02 | | | |
% 266.53/37.02 | | | | (49) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.02 | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.53/37.02 | | | | | c3_1(v0) | c2_1(v0))
% 266.53/37.02 | | | |
% 266.53/37.02 | | | | BETA: splitting (49) gives:
% 266.53/37.02 | | | |
% 266.53/37.02 | | | | Case 1:
% 266.53/37.02 | | | | |
% 266.53/37.02 | | | | | (50) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.53/37.02 | | | | | | c0_1(v0))
% 266.53/37.02 | | | | |
% 266.53/37.02 | | | | | GROUND_INST: instantiating (50) with a1008, simplifying with (17),
% 266.53/37.02 | | | | | (18), (26), (39) gives:
% 266.53/37.02 | | | | | (51) c0_1(a1008)
% 266.53/37.02 | | | | |
% 266.53/37.02 | | | | | REF_CLOSE: (17), (18), (25), (26), (28), (29), (32), (35), (36), (39),
% 266.53/37.02 | | | | | (44), (51) are inconsistent by sub-proof #63.
% 266.53/37.02 | | | | |
% 266.53/37.02 | | | | Case 2:
% 266.53/37.02 | | | | |
% 266.53/37.03 | | | | | (52) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.53/37.03 | | | | | | c2_1(v0))
% 266.53/37.03 | | | | |
% 266.53/37.03 | | | | | GROUND_INST: instantiating (52) with a1044, simplifying with (28),
% 266.53/37.03 | | | | | (32), (36), (39) gives:
% 266.53/37.03 | | | | | (53) c2_1(a1044)
% 266.53/37.03 | | | | |
% 266.53/37.03 | | | | | REF_CLOSE: (3), (4), (8), (9), (10), (11), (12), (14), (16), (19),
% 266.53/37.03 | | | | | (21), (22), (23), (27), (28), (32), (33), (34), (35), (36),
% 266.53/37.03 | | | | | (37), (39), (52), (53) are inconsistent by sub-proof #96.
% 266.53/37.03 | | | | |
% 266.53/37.03 | | | | End of split
% 266.53/37.03 | | | |
% 266.53/37.03 | | | End of split
% 266.53/37.03 | | |
% 266.53/37.03 | | Case 2:
% 266.53/37.03 | | |
% 266.53/37.03 | | | (54) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/37.03 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.03 | | | c1_1(v0) | c3_1(v0))
% 266.53/37.03 | | |
% 266.53/37.03 | | | BETA: splitting (54) gives:
% 266.53/37.03 | | |
% 266.53/37.03 | | | Case 1:
% 266.53/37.03 | | | |
% 266.53/37.03 | | | | (55) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/37.03 | | | | c0_1(v0))
% 266.53/37.03 | | | |
% 266.53/37.03 | | | | REF_CLOSE: (1), (3), (4), (6), (7), (8), (9), (10), (11), (12), (14),
% 266.53/37.03 | | | | (15), (16), (17), (18), (19), (20), (21), (22), (23), (26),
% 266.53/37.03 | | | | (27), (28), (31), (32), (33), (34), (35), (36), (37), (38),
% 266.53/37.03 | | | | (39), (40), (41), (55) are inconsistent by sub-proof #33.
% 266.53/37.03 | | | |
% 266.53/37.03 | | | Case 2:
% 266.53/37.03 | | | |
% 266.53/37.03 | | | | (56) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.53/37.03 | | | | c3_1(v0))
% 266.53/37.03 | | | |
% 266.53/37.03 | | | | GROUND_INST: instantiating (56) with a1008, simplifying with (17), (18),
% 266.53/37.03 | | | | (24), (26), (39) gives:
% 266.53/37.03 | | | | (57) $false
% 266.53/37.03 | | | |
% 266.53/37.03 | | | | CLOSE: (57) is inconsistent.
% 266.53/37.03 | | | |
% 266.53/37.03 | | | End of split
% 266.53/37.03 | | |
% 266.53/37.03 | | End of split
% 266.53/37.03 | |
% 266.53/37.03 | End of split
% 266.53/37.03 |
% 266.53/37.03 End of proof
% 266.53/37.03
% 266.53/37.03 Sub-proof #33 shows that the following formulas are inconsistent:
% 266.53/37.03 ----------------------------------------------------------------
% 266.53/37.03 (1) c1_1(a1003)
% 266.53/37.03 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.03 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.03 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/37.03 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.53/37.03 (3) $i(a1010)
% 266.53/37.03 (4) $i(a1045)
% 266.53/37.03 (5) ~ c2_1(a1003)
% 266.53/37.03 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.53/37.03 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.53/37.03 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.53/37.03 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.53/37.03 (7) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.53/37.03 ~ c0_1(v0) | ~ ndr1_0)
% 266.53/37.03 (8) $i(a1019)
% 266.53/37.03 (9) c2_1(a1001)
% 266.53/37.03 (10) ~ c1_1(a1010)
% 266.53/37.03 (11) $i(a1011)
% 266.53/37.03 (12) $i(a1003)
% 266.53/37.03 (13) c3_1(a1010)
% 266.53/37.03 (14) c1_1(a1045)
% 266.53/37.03 (15) ~ c3_1(a1008)
% 266.53/37.03 (16) $i(a1008)
% 266.53/37.03 (17) hskp22 | hskp14 | hskp12
% 266.53/37.03 (18) ~ c0_1(a1003)
% 266.53/37.03 (19) c0_1(a1010)
% 266.53/37.03 (20) ~ c1_1(a1001)
% 266.53/37.03 (21) c3_1(a1045)
% 266.53/37.03 (22) $i(a1001)
% 266.53/37.03 (23) c2_1(a1008)
% 266.53/37.03 (24) ndr1_0
% 266.53/37.03 (25) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.53/37.03 (26) $i(a1044)
% 266.53/37.03 (27) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.53/37.03 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.53/37.03 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.53/37.03 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.53/37.03 (28) ~ c3_1(a1044)
% 266.53/37.03 (29) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.53/37.03 c0_1(v0))
% 266.53/37.03 (30) c3_1(a1001)
% 266.53/37.03 (31) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.53/37.03 (32) c1_1(a1044)
% 266.53/37.03 (33) c0_1(a1044)
% 266.53/37.03 (34) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.53/37.03 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.53/37.03 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.53/37.03 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.53/37.03 (35) ~ c0_1(a1045)
% 266.53/37.03
% 266.53/37.03 Begin of proof
% 266.53/37.03 |
% 266.53/37.03 | BETA: splitting (6) gives:
% 266.53/37.03 |
% 266.53/37.03 | Case 1:
% 266.53/37.03 | |
% 266.53/37.03 | | (36) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.53/37.03 | | ~ ndr1_0)
% 266.86/37.03 | |
% 266.86/37.03 | | REF_CLOSE: (1), (3), (4), (5), (10), (12), (13), (14), (18), (19), (21),
% 266.86/37.03 | | (24), (29), (34), (35), (36) are inconsistent by sub-proof #34.
% 266.86/37.03 | |
% 266.86/37.03 | Case 2:
% 266.86/37.03 | |
% 266.86/37.03 | | (37) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.03 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.86/37.03 | | ~ ndr1_0 | c0_1(v0))
% 266.86/37.03 | |
% 266.86/37.03 | | BETA: splitting (37) gives:
% 266.86/37.03 | |
% 266.86/37.03 | | Case 1:
% 266.86/37.03 | | |
% 266.86/37.03 | | | (38) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.03 | | | c0_1(v0))
% 266.86/37.03 | | |
% 266.86/37.03 | | | GROUND_INST: instantiating (38) with a1045, simplifying with (4), (14),
% 266.86/37.03 | | | (21), (24), (35) gives:
% 266.86/37.03 | | | (39) $false
% 266.86/37.03 | | |
% 266.86/37.03 | | | CLOSE: (39) is inconsistent.
% 266.86/37.03 | | |
% 266.86/37.03 | | Case 2:
% 266.86/37.03 | | |
% 266.86/37.03 | | | (40) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.03 | | | c0_1(v0))
% 266.86/37.03 | | |
% 266.86/37.03 | | | GROUND_INST: instantiating (40) with a1001, simplifying with (9), (22),
% 266.86/37.03 | | | (24), (30) gives:
% 266.86/37.03 | | | (41) c0_1(a1001)
% 266.86/37.03 | | |
% 266.86/37.03 | | | BETA: splitting (27) gives:
% 266.86/37.03 | | |
% 266.86/37.03 | | | Case 1:
% 266.86/37.03 | | | |
% 266.86/37.03 | | | | (42) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.03 | | | | | c1_1(v0))
% 266.86/37.03 | | | |
% 266.86/37.03 | | | | GROUND_INST: instantiating (42) with a1001, simplifying with (9), (20),
% 266.86/37.03 | | | | (22), (24), (41) gives:
% 266.86/37.03 | | | | (43) $false
% 266.86/37.03 | | | |
% 266.86/37.03 | | | | CLOSE: (43) is inconsistent.
% 266.86/37.03 | | | |
% 266.86/37.03 | | | Case 2:
% 266.86/37.03 | | | |
% 266.86/37.03 | | | | (44) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.03 | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.03 | | | | | c3_1(v0) | c2_1(v0))
% 266.86/37.03 | | | |
% 266.86/37.03 | | | | BETA: splitting (44) gives:
% 266.86/37.03 | | | |
% 266.86/37.03 | | | | Case 1:
% 266.86/37.03 | | | | |
% 266.86/37.03 | | | | | (45) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.86/37.03 | | | | | | c0_1(v0))
% 266.86/37.03 | | | | |
% 266.86/37.03 | | | | | GROUND_INST: instantiating (45) with a1008, simplifying with (15),
% 266.86/37.03 | | | | | (16), (23), (24) gives:
% 266.86/37.03 | | | | | (46) c0_1(a1008)
% 266.86/37.03 | | | | |
% 266.86/37.03 | | | | | BETA: splitting (34) gives:
% 266.86/37.03 | | | | |
% 266.86/37.03 | | | | | Case 1:
% 266.86/37.03 | | | | | |
% 266.86/37.03 | | | | | | (47) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.03 | | | | | | c3_1(v0) | c0_1(v0))
% 266.86/37.03 | | | | | |
% 266.86/37.03 | | | | | | GROUND_INST: instantiating (47) with a1003, simplifying with (1),
% 266.86/37.03 | | | | | | (12), (18), (24) gives:
% 266.86/37.03 | | | | | | (48) c3_1(a1003)
% 266.86/37.03 | | | | | |
% 266.86/37.03 | | | | | | GROUND_INST: instantiating (29) with a1003, simplifying with (5),
% 266.86/37.03 | | | | | | (12), (18), (24), (48) gives:
% 266.86/37.03 | | | | | | (49) $false
% 266.86/37.03 | | | | | |
% 266.86/37.03 | | | | | | CLOSE: (49) is inconsistent.
% 266.86/37.03 | | | | | |
% 266.86/37.03 | | | | | Case 2:
% 266.86/37.03 | | | | | |
% 266.86/37.03 | | | | | | (50) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.03 | | | | | | ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 266.86/37.03 | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.03 | | | | | |
% 266.86/37.03 | | | | | | BETA: splitting (50) gives:
% 266.86/37.03 | | | | | |
% 266.86/37.03 | | | | | | Case 1:
% 266.86/37.03 | | | | | | |
% 266.86/37.03 | | | | | | | (51) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.03 | | | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.03 | | | | | | |
% 266.86/37.04 | | | | | | | GROUND_INST: instantiating (51) with a1010, simplifying with (3),
% 266.86/37.04 | | | | | | | (10), (13), (19), (24) gives:
% 266.86/37.04 | | | | | | | (52) $false
% 266.86/37.04 | | | | | | |
% 266.86/37.04 | | | | | | | CLOSE: (52) is inconsistent.
% 266.86/37.04 | | | | | | |
% 266.86/37.04 | | | | | | Case 2:
% 266.86/37.04 | | | | | | |
% 266.86/37.04 | | | | | | | (53) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.04 | | | | | | | ndr1_0 | c3_1(v0))
% 266.86/37.04 | | | | | | |
% 266.86/37.04 | | | | | | | GROUND_INST: instantiating (53) with a1008, simplifying with (15),
% 266.86/37.04 | | | | | | | (16), (23), (24), (46) gives:
% 266.86/37.04 | | | | | | | (54) $false
% 266.86/37.04 | | | | | | |
% 266.86/37.04 | | | | | | | CLOSE: (54) is inconsistent.
% 266.86/37.04 | | | | | | |
% 266.86/37.04 | | | | | | End of split
% 266.86/37.04 | | | | | |
% 266.86/37.04 | | | | | End of split
% 266.86/37.04 | | | | |
% 266.86/37.04 | | | | Case 2:
% 266.86/37.04 | | | | |
% 266.86/37.04 | | | | | (55) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.86/37.04 | | | | | | c2_1(v0))
% 266.86/37.04 | | | | |
% 266.86/37.04 | | | | | GROUND_INST: instantiating (55) with a1044, simplifying with (24),
% 266.86/37.04 | | | | | (26), (28), (33) gives:
% 266.86/37.04 | | | | | (56) c2_1(a1044)
% 266.86/37.04 | | | | |
% 266.86/37.04 | | | | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (10), (11), (13), (17), (19),
% 266.86/37.04 | | | | | (20), (22), (24), (25), (26), (28), (30), (31), (32), (33),
% 266.86/37.04 | | | | | (34), (55), (56) are inconsistent by sub-proof #96.
% 266.86/37.04 | | | | |
% 266.86/37.04 | | | | End of split
% 266.86/37.04 | | | |
% 266.86/37.04 | | | End of split
% 266.86/37.04 | | |
% 266.86/37.04 | | End of split
% 266.86/37.04 | |
% 266.86/37.04 | End of split
% 266.86/37.04 |
% 266.86/37.04 End of proof
% 266.86/37.04
% 266.86/37.04 Sub-proof #34 shows that the following formulas are inconsistent:
% 266.86/37.04 ----------------------------------------------------------------
% 266.86/37.04 (1) c1_1(a1003)
% 266.86/37.04 (2) $i(a1010)
% 266.86/37.04 (3) $i(a1045)
% 266.86/37.04 (4) ~ c2_1(a1003)
% 266.86/37.04 (5) ~ c1_1(a1010)
% 266.86/37.04 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.04 ndr1_0)
% 266.86/37.04 (7) $i(a1003)
% 266.86/37.04 (8) c3_1(a1010)
% 266.86/37.04 (9) c1_1(a1045)
% 266.86/37.04 (10) ~ c0_1(a1003)
% 266.86/37.04 (11) c0_1(a1010)
% 266.86/37.04 (12) c3_1(a1045)
% 266.86/37.04 (13) ndr1_0
% 266.86/37.04 (14) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.04 c0_1(v0))
% 266.86/37.04 (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.04 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.04 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.04 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.04 (16) ~ c0_1(a1045)
% 266.86/37.04
% 266.86/37.04 Begin of proof
% 266.86/37.04 |
% 266.86/37.04 | BETA: splitting (15) gives:
% 266.86/37.04 |
% 266.86/37.04 | Case 1:
% 266.86/37.04 | |
% 266.86/37.04 | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.04 | | c0_1(v0))
% 266.86/37.04 | |
% 266.86/37.04 | | GROUND_INST: instantiating (17) with a1003, simplifying with (1), (7), (10),
% 266.86/37.04 | | (13) gives:
% 266.86/37.04 | | (18) c3_1(a1003)
% 266.86/37.04 | |
% 266.86/37.04 | | GROUND_INST: instantiating (14) with a1003, simplifying with (4), (7), (10),
% 266.86/37.04 | | (13), (18) gives:
% 266.86/37.04 | | (19) $false
% 266.86/37.04 | |
% 266.86/37.04 | | CLOSE: (19) is inconsistent.
% 266.86/37.04 | |
% 266.86/37.04 | Case 2:
% 266.86/37.04 | |
% 266.86/37.04 | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.04 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 266.86/37.04 | | ~ ndr1_0 | c3_1(v0))
% 266.86/37.04 | |
% 266.86/37.04 | | BETA: splitting (20) gives:
% 266.86/37.04 | |
% 266.86/37.04 | | Case 1:
% 266.86/37.04 | | |
% 266.86/37.04 | | | (21) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.04 | | | c1_1(v0))
% 266.86/37.04 | | |
% 266.86/37.04 | | | GROUND_INST: instantiating (21) with a1010, simplifying with (2), (5),
% 266.86/37.04 | | | (8), (11), (13) gives:
% 266.86/37.04 | | | (22) $false
% 266.86/37.04 | | |
% 266.86/37.04 | | | CLOSE: (22) is inconsistent.
% 266.86/37.04 | | |
% 266.86/37.04 | | Case 2:
% 266.86/37.04 | | |
% 266.86/37.04 | | |
% 266.86/37.04 | | | GROUND_INST: instantiating (14) with a1045, simplifying with (3), (12),
% 266.86/37.04 | | | (13), (16) gives:
% 266.86/37.04 | | | (23) c2_1(a1045)
% 266.86/37.04 | | |
% 266.86/37.04 | | | GROUND_INST: instantiating (6) with a1045, simplifying with (3), (9),
% 266.86/37.04 | | | (12), (13), (23) gives:
% 266.86/37.04 | | | (24) $false
% 266.86/37.04 | | |
% 266.86/37.04 | | | CLOSE: (24) is inconsistent.
% 266.86/37.04 | | |
% 266.86/37.04 | | End of split
% 266.86/37.04 | |
% 266.86/37.04 | End of split
% 266.86/37.04 |
% 266.86/37.04 End of proof
% 266.86/37.04
% 266.86/37.04 Sub-proof #35 shows that the following formulas are inconsistent:
% 266.86/37.04 ----------------------------------------------------------------
% 266.86/37.04 (1) $i(a1010)
% 266.86/37.04 (2) ~ c1_1(a1010)
% 266.86/37.04 (3) $i(a1011)
% 266.86/37.04 (4) c0_1(a1011)
% 266.86/37.04 (5) c3_1(a1010)
% 266.86/37.04 (6) c0_1(a1010)
% 266.86/37.04 (7) ndr1_0
% 266.86/37.04 (8) c1_1(a1011)
% 266.86/37.04 (9) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.04 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.04 ndr1_0 | c1_1(v0))
% 266.86/37.04 (10) ~ c2_1(a1011)
% 266.86/37.04
% 266.86/37.04 Begin of proof
% 266.86/37.04 |
% 266.86/37.04 | BETA: splitting (9) gives:
% 266.86/37.04 |
% 266.86/37.04 | Case 1:
% 266.86/37.04 | |
% 266.86/37.04 | | (11) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.04 | | c2_1(v0))
% 266.86/37.04 | |
% 266.86/37.04 | | GROUND_INST: instantiating (11) with a1011, simplifying with (3), (4), (7),
% 266.86/37.04 | | (8), (10) gives:
% 266.86/37.04 | | (12) $false
% 266.86/37.04 | |
% 266.86/37.04 | | CLOSE: (12) is inconsistent.
% 266.86/37.04 | |
% 266.86/37.04 | Case 2:
% 266.86/37.04 | |
% 266.86/37.04 | | (13) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.04 | | c1_1(v0))
% 266.86/37.04 | |
% 266.86/37.04 | | GROUND_INST: instantiating (13) with a1010, simplifying with (1), (2), (5),
% 266.86/37.04 | | (6), (7) gives:
% 266.86/37.04 | | (14) $false
% 266.86/37.04 | |
% 266.86/37.04 | | CLOSE: (14) is inconsistent.
% 266.86/37.04 | |
% 266.86/37.04 | End of split
% 266.86/37.04 |
% 266.86/37.04 End of proof
% 266.86/37.04
% 266.86/37.04 Sub-proof #36 shows that the following formulas are inconsistent:
% 266.86/37.04 ----------------------------------------------------------------
% 266.86/37.04 (1) ~ hskp29
% 266.86/37.04 (2) ~ hskp21
% 266.86/37.04 (3) $i(a1012)
% 266.86/37.04 (4) hskp29 | hskp21 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.04 c1_1(v0) | c3_1(v0))
% 266.86/37.04 (5) ~ c3_1(a1012)
% 266.86/37.04 (6) ndr1_0
% 266.86/37.04 (7) ~ c1_1(a1012)
% 266.86/37.04 (8) c0_1(a1012)
% 266.86/37.04
% 266.86/37.04 Begin of proof
% 266.86/37.04 |
% 266.86/37.04 | BETA: splitting (4) gives:
% 266.86/37.04 |
% 266.86/37.04 | Case 1:
% 266.86/37.04 | |
% 266.86/37.04 | | (9) hskp29
% 266.86/37.04 | |
% 266.86/37.04 | | PRED_UNIFY: (1), (9) imply:
% 266.86/37.04 | | (10) $false
% 266.86/37.04 | |
% 266.86/37.04 | | CLOSE: (10) is inconsistent.
% 266.86/37.04 | |
% 266.86/37.04 | Case 2:
% 266.86/37.04 | |
% 266.86/37.04 | | (11) hskp21 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.04 | | c1_1(v0) | c3_1(v0))
% 266.86/37.04 | |
% 266.86/37.04 | | REF_CLOSE: (2), (3), (5), (6), (7), (8), (11) are inconsistent by sub-proof
% 266.86/37.04 | | #48.
% 266.86/37.04 | |
% 266.86/37.04 | End of split
% 266.86/37.04 |
% 266.86/37.04 End of proof
% 266.86/37.04
% 266.86/37.04 Sub-proof #37 shows that the following formulas are inconsistent:
% 266.86/37.04 ----------------------------------------------------------------
% 266.86/37.04 (1) ~ c3_1(a1025)
% 266.86/37.04 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.04 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.04 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.04 c1_1(v0) | c3_1(v0))
% 266.86/37.04 (3) $i(a1052)
% 266.86/37.04 (4) ~ hskp7
% 266.86/37.04 (5) c2_1(a1001)
% 266.86/37.04 (6) $i(a1025)
% 266.86/37.04 (7) c3_1(a1052)
% 266.86/37.04 (8) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.86/37.04 (9) ~ c2_1(a1052)
% 266.86/37.04 (10) c0_1(a1025)
% 266.86/37.04 (11) $i(a1041)
% 266.86/37.04 (12) ~ c1_1(a1001)
% 266.86/37.04 (13) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 266.86/37.04 (14) $i(a1001)
% 266.86/37.04 (15) ~ c0_1(a1052)
% 266.86/37.04 (16) hskp21 | hskp7 | hskp4
% 266.86/37.04 (17) ~ hskp4
% 266.86/37.04 (18) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.04 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.04 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.04 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.04 (19) ~ c2_1(a1025)
% 266.86/37.04 (20) c3_1(a1001)
% 266.86/37.04
% 266.86/37.04 Begin of proof
% 266.86/37.04 |
% 266.86/37.04 | BETA: splitting (16) gives:
% 266.86/37.04 |
% 266.86/37.04 | Case 1:
% 266.86/37.04 | |
% 266.86/37.04 | | (21) hskp7
% 266.86/37.04 | |
% 266.86/37.04 | | PRED_UNIFY: (4), (21) imply:
% 266.86/37.04 | | (22) $false
% 266.86/37.04 | |
% 266.86/37.04 | | CLOSE: (22) is inconsistent.
% 266.86/37.04 | |
% 266.86/37.04 | Case 2:
% 266.86/37.04 | |
% 266.86/37.04 | | (23) hskp21 | hskp4
% 266.86/37.04 | |
% 266.86/37.04 | | BETA: splitting (23) gives:
% 266.86/37.04 | |
% 266.86/37.04 | | Case 1:
% 266.86/37.04 | | |
% 266.86/37.04 | | | (24) hskp4
% 266.86/37.04 | | |
% 266.86/37.04 | | | PRED_UNIFY: (17), (24) imply:
% 266.86/37.04 | | | (25) $false
% 266.86/37.04 | | |
% 266.86/37.04 | | | CLOSE: (25) is inconsistent.
% 266.86/37.04 | | |
% 266.86/37.04 | | Case 2:
% 266.86/37.04 | | |
% 266.86/37.04 | | | (26) hskp21
% 266.86/37.04 | | |
% 266.86/37.04 | | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (9), (10), (11), (12), (13),
% 266.86/37.04 | | | (14), (15), (18), (19), (20), (26) are inconsistent by
% 266.86/37.04 | | | sub-proof #38.
% 266.86/37.04 | | |
% 266.86/37.04 | | End of split
% 266.86/37.04 | |
% 266.86/37.04 | End of split
% 266.86/37.04 |
% 266.86/37.04 End of proof
% 266.86/37.04
% 266.86/37.04 Sub-proof #38 shows that the following formulas are inconsistent:
% 266.86/37.04 ----------------------------------------------------------------
% 266.86/37.04 (1) ~ c3_1(a1025)
% 266.86/37.05 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.05 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.05 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.05 c1_1(v0) | c3_1(v0))
% 266.86/37.05 (3) $i(a1052)
% 266.86/37.05 (4) c2_1(a1001)
% 266.86/37.05 (5) $i(a1025)
% 266.86/37.05 (6) c3_1(a1052)
% 266.86/37.05 (7) hskp21
% 266.86/37.05 (8) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.86/37.05 (9) ~ c2_1(a1052)
% 266.86/37.05 (10) c0_1(a1025)
% 266.86/37.05 (11) $i(a1041)
% 266.86/37.05 (12) ~ c1_1(a1001)
% 266.86/37.05 (13) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 266.86/37.05 (14) $i(a1001)
% 266.86/37.05 (15) ~ c0_1(a1052)
% 266.86/37.05 (16) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.05 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.05 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.05 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.05 (17) ~ c2_1(a1025)
% 266.86/37.05 (18) c3_1(a1001)
% 266.86/37.05
% 266.86/37.05 Begin of proof
% 266.86/37.05 |
% 266.86/37.05 | BETA: splitting (13) gives:
% 266.86/37.05 |
% 266.86/37.05 | Case 1:
% 266.86/37.05 | |
% 266.86/37.05 | | (19) ~ hskp21
% 266.86/37.05 | |
% 266.86/37.05 | | PRED_UNIFY: (7), (19) imply:
% 266.86/37.05 | | (20) $false
% 266.86/37.05 | |
% 266.86/37.05 | | CLOSE: (20) is inconsistent.
% 266.86/37.05 | |
% 266.86/37.05 | Case 2:
% 266.86/37.05 | |
% 266.86/37.05 | | (21) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041)
% 266.86/37.05 | |
% 266.86/37.05 | | ALPHA: (21) implies:
% 266.86/37.05 | | (22) ~ c0_1(a1041)
% 266.86/37.05 | | (23) ~ c3_1(a1041)
% 266.86/37.05 | | (24) ndr1_0
% 266.86/37.05 | | (25) c2_1(a1041)
% 266.86/37.05 | |
% 266.86/37.05 | | BETA: splitting (2) gives:
% 266.86/37.05 | |
% 266.86/37.05 | | Case 1:
% 266.86/37.05 | | |
% 266.86/37.05 | | | (26) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.05 | | | c0_1(v0))
% 266.86/37.05 | | |
% 266.86/37.05 | | | REF_CLOSE: (1), (4), (5), (10), (11), (12), (14), (16), (17), (18), (22),
% 266.86/37.05 | | | (23), (24), (25), (26) are inconsistent by sub-proof #39.
% 266.86/37.05 | | |
% 266.86/37.05 | | Case 2:
% 266.86/37.05 | | |
% 266.86/37.05 | | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.05 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.05 | | | c1_1(v0) | c3_1(v0))
% 266.86/37.05 | | |
% 266.86/37.05 | | | BETA: splitting (27) gives:
% 266.86/37.05 | | |
% 266.86/37.05 | | | Case 1:
% 266.86/37.05 | | | |
% 266.86/37.05 | | | | (28) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.05 | | | | c0_1(v0))
% 266.86/37.05 | | | |
% 266.86/37.05 | | | | GROUND_INST: instantiating (28) with a1052, simplifying with (3), (6),
% 266.86/37.05 | | | | (9), (15), (24) gives:
% 266.86/37.05 | | | | (29) $false
% 266.86/37.05 | | | |
% 266.86/37.05 | | | | CLOSE: (29) is inconsistent.
% 266.86/37.05 | | | |
% 266.86/37.05 | | | Case 2:
% 266.86/37.05 | | | |
% 266.86/37.05 | | | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.05 | | | | c3_1(v0))
% 266.86/37.05 | | | |
% 266.86/37.05 | | | | GROUND_INST: instantiating (30) with a1041, simplifying with (11), (23),
% 266.86/37.05 | | | | (24), (25) gives:
% 266.86/37.05 | | | | (31) c1_1(a1041)
% 266.86/37.05 | | | |
% 266.86/37.05 | | | | GROUND_INST: instantiating (8) with a1041, simplifying with (11), (22),
% 266.86/37.05 | | | | (23), (24), (31) gives:
% 266.86/37.05 | | | | (32) $false
% 266.86/37.05 | | | |
% 266.86/37.05 | | | | CLOSE: (32) is inconsistent.
% 266.86/37.05 | | | |
% 266.86/37.05 | | | End of split
% 266.86/37.05 | | |
% 266.86/37.05 | | End of split
% 266.86/37.05 | |
% 266.86/37.05 | End of split
% 266.86/37.05 |
% 266.86/37.05 End of proof
% 266.86/37.05
% 266.86/37.05 Sub-proof #39 shows that the following formulas are inconsistent:
% 266.86/37.05 ----------------------------------------------------------------
% 266.86/37.05 (1) ~ c3_1(a1025)
% 266.86/37.05 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.05 (3) c2_1(a1001)
% 266.86/37.05 (4) ~ c3_1(a1041)
% 266.86/37.05 (5) $i(a1025)
% 266.86/37.05 (6) c2_1(a1041)
% 266.86/37.05 (7) ~ c0_1(a1041)
% 266.86/37.05 (8) c0_1(a1025)
% 266.86/37.05 (9) $i(a1041)
% 266.86/37.05 (10) ~ c1_1(a1001)
% 266.86/37.05 (11) $i(a1001)
% 266.86/37.05 (12) ndr1_0
% 266.86/37.05 (13) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.05 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.05 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.05 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.05 (14) ~ c2_1(a1025)
% 266.86/37.05 (15) c3_1(a1001)
% 266.86/37.05
% 266.86/37.05 Begin of proof
% 266.86/37.05 |
% 266.86/37.05 | GROUND_INST: instantiating (2) with a1001, simplifying with (10), (11), (12),
% 266.86/37.05 | (15) gives:
% 266.86/37.05 | (16) c0_1(a1001)
% 266.86/37.05 |
% 266.86/37.05 | BETA: splitting (13) gives:
% 266.86/37.05 |
% 266.86/37.05 | Case 1:
% 266.86/37.05 | |
% 266.86/37.05 | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.05 | | c1_1(v0))
% 266.86/37.05 | |
% 266.86/37.05 | | GROUND_INST: instantiating (17) with a1001, simplifying with (3), (10),
% 266.86/37.05 | | (11), (12), (16) gives:
% 266.86/37.05 | | (18) $false
% 266.86/37.05 | |
% 266.86/37.05 | | CLOSE: (18) is inconsistent.
% 266.86/37.05 | |
% 266.86/37.05 | Case 2:
% 266.86/37.05 | |
% 266.86/37.05 | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.05 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.05 | | c3_1(v0) | c2_1(v0))
% 266.86/37.05 | |
% 266.86/37.05 | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (9), (12), (14), (19) are
% 266.86/37.05 | | inconsistent by sub-proof #41.
% 266.86/37.05 | |
% 266.86/37.05 | End of split
% 266.86/37.05 |
% 266.86/37.05 End of proof
% 266.86/37.05
% 266.86/37.05 Sub-proof #40 shows that the following formulas are inconsistent:
% 266.86/37.05 ----------------------------------------------------------------
% 266.86/37.05 (1) ~ c3_1(a1025)
% 266.86/37.05 (2) $i(a1025)
% 266.86/37.05 (3) $i(a1029)
% 266.86/37.05 (4) hskp21
% 266.86/37.05 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.05 ndr1_0)
% 266.86/37.05 (6) c0_1(a1025)
% 266.86/37.05 (7) $i(a1041)
% 266.86/37.05 (8) c0_1(a1029)
% 266.86/37.05 (9) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 266.86/37.05 (10) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.05 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.05 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.05 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.05 (11) ~ c2_1(a1025)
% 266.86/37.05 (12) c2_1(a1029)
% 266.86/37.05
% 266.86/37.05 Begin of proof
% 266.86/37.05 |
% 266.86/37.05 | BETA: splitting (9) gives:
% 266.86/37.05 |
% 266.86/37.05 | Case 1:
% 266.86/37.05 | |
% 266.86/37.05 | | (13) ~ hskp21
% 266.86/37.05 | |
% 266.86/37.05 | | PRED_UNIFY: (4), (13) imply:
% 266.86/37.05 | | (14) $false
% 266.86/37.05 | |
% 266.86/37.05 | | CLOSE: (14) is inconsistent.
% 266.86/37.05 | |
% 266.86/37.05 | Case 2:
% 266.86/37.05 | |
% 266.86/37.05 | | (15) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041)
% 266.86/37.05 | |
% 266.86/37.05 | | ALPHA: (15) implies:
% 266.86/37.05 | | (16) ~ c0_1(a1041)
% 266.86/37.05 | | (17) ~ c3_1(a1041)
% 266.86/37.05 | | (18) ndr1_0
% 266.86/37.05 | | (19) c2_1(a1041)
% 266.86/37.05 | |
% 266.86/37.05 | | BETA: splitting (10) gives:
% 266.86/37.05 | |
% 266.86/37.05 | | Case 1:
% 266.86/37.05 | | |
% 266.86/37.05 | | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.05 | | | c1_1(v0))
% 266.86/37.05 | | |
% 266.86/37.05 | | | REF_CLOSE: (3), (5), (8), (12), (18), (20) are inconsistent by sub-proof
% 266.86/37.05 | | | #89.
% 266.86/37.05 | | |
% 266.86/37.05 | | Case 2:
% 266.86/37.05 | | |
% 266.86/37.05 | | | (21) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.05 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.05 | | | c3_1(v0) | c2_1(v0))
% 266.86/37.05 | | |
% 266.86/37.05 | | | REF_CLOSE: (1), (2), (6), (7), (11), (16), (17), (18), (19), (21) are
% 266.86/37.05 | | | inconsistent by sub-proof #41.
% 266.86/37.05 | | |
% 266.86/37.05 | | End of split
% 266.86/37.05 | |
% 266.86/37.05 | End of split
% 266.86/37.05 |
% 266.86/37.05 End of proof
% 266.86/37.05
% 266.86/37.05 Sub-proof #41 shows that the following formulas are inconsistent:
% 266.86/37.05 ----------------------------------------------------------------
% 266.86/37.05 (1) ~ c3_1(a1025)
% 266.86/37.05 (2) ~ c3_1(a1041)
% 266.86/37.05 (3) $i(a1025)
% 266.86/37.05 (4) c2_1(a1041)
% 266.86/37.05 (5) ~ c0_1(a1041)
% 266.86/37.05 (6) c0_1(a1025)
% 266.86/37.05 (7) $i(a1041)
% 266.86/37.05 (8) ndr1_0
% 266.86/37.05 (9) ~ c2_1(a1025)
% 266.86/37.06 (10) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.06 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.06 c3_1(v0) | c2_1(v0))
% 266.86/37.06
% 266.86/37.06 Begin of proof
% 266.86/37.06 |
% 266.86/37.06 | BETA: splitting (10) gives:
% 266.86/37.06 |
% 266.86/37.06 | Case 1:
% 266.86/37.06 | |
% 266.86/37.06 | | (11) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.06 | | c0_1(v0))
% 266.86/37.06 | |
% 266.86/37.06 | | GROUND_INST: instantiating (11) with a1041, simplifying with (2), (4), (5),
% 266.86/37.06 | | (7), (8) gives:
% 266.86/37.06 | | (12) $false
% 266.86/37.06 | |
% 266.86/37.06 | | CLOSE: (12) is inconsistent.
% 266.86/37.06 | |
% 266.86/37.06 | Case 2:
% 266.86/37.06 | |
% 266.86/37.06 | | (13) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.06 | | c2_1(v0))
% 266.86/37.06 | |
% 266.86/37.06 | | GROUND_INST: instantiating (13) with a1025, simplifying with (1), (3), (6),
% 266.86/37.06 | | (8), (9) gives:
% 266.86/37.06 | | (14) $false
% 266.86/37.06 | |
% 266.86/37.06 | | CLOSE: (14) is inconsistent.
% 266.86/37.06 | |
% 266.86/37.06 | End of split
% 266.86/37.06 |
% 266.86/37.06 End of proof
% 266.86/37.06
% 266.86/37.06 Sub-proof #42 shows that the following formulas are inconsistent:
% 266.86/37.06 ----------------------------------------------------------------
% 266.86/37.06 (1) ~ c2_1(a1006)
% 266.86/37.06 (2) ~ c3_1(a1004)
% 266.86/37.06 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.06 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.06 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.06 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.06 (4) c3_1(a1006)
% 266.86/37.06 (5) $i(a1004)
% 266.86/37.06 (6) c2_1(a1004)
% 266.86/37.06 (7) c1_1(a1004)
% 266.86/37.06 (8) $i(a1029)
% 266.86/37.06 (9) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.06 ndr1_0)
% 266.86/37.06 (10) c3_1(a1029)
% 266.86/37.06 (11) c0_1(a1029)
% 266.86/37.06 (12) ndr1_0
% 266.86/37.06 (13) $i(a1006)
% 266.86/37.06 (14) c0_1(a1006)
% 266.86/37.06 (15) c2_1(a1029)
% 266.86/37.06
% 266.86/37.06 Begin of proof
% 266.86/37.06 |
% 266.86/37.06 | BETA: splitting (3) gives:
% 266.86/37.06 |
% 266.86/37.06 | Case 1:
% 266.86/37.06 | |
% 266.86/37.06 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.06 | | c3_1(v0))
% 266.86/37.06 | |
% 266.86/37.06 | | GROUND_INST: instantiating (16) with a1004, simplifying with (2), (5), (6),
% 266.86/37.06 | | (7), (12) gives:
% 266.86/37.06 | | (17) $false
% 266.86/37.06 | |
% 266.86/37.06 | | CLOSE: (17) is inconsistent.
% 266.86/37.06 | |
% 266.86/37.06 | Case 2:
% 266.86/37.06 | |
% 266.86/37.06 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.06 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.06 | | ~ ndr1_0 | c2_1(v0))
% 266.86/37.06 | |
% 266.86/37.06 | | BETA: splitting (18) gives:
% 266.86/37.06 | |
% 266.86/37.06 | | Case 1:
% 266.86/37.06 | | |
% 266.86/37.06 | | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.06 | | | c1_1(v0))
% 266.86/37.06 | | |
% 266.86/37.06 | | | GROUND_INST: instantiating (19) with a1029, simplifying with (8), (10),
% 266.86/37.06 | | | (12), (15) gives:
% 266.86/37.06 | | | (20) c1_1(a1029)
% 266.86/37.06 | | |
% 266.86/37.06 | | | GROUND_INST: instantiating (9) with a1029, simplifying with (8), (11),
% 266.86/37.06 | | | (12), (15), (20) gives:
% 266.86/37.06 | | | (21) $false
% 266.86/37.06 | | |
% 266.86/37.06 | | | CLOSE: (21) is inconsistent.
% 266.86/37.06 | | |
% 266.86/37.06 | | Case 2:
% 266.86/37.06 | | |
% 266.86/37.06 | | | (22) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.06 | | | c2_1(v0))
% 266.86/37.06 | | |
% 266.86/37.06 | | | GROUND_INST: instantiating (22) with a1006, simplifying with (1), (4),
% 266.86/37.06 | | | (12), (13), (14) gives:
% 266.86/37.06 | | | (23) $false
% 266.86/37.06 | | |
% 266.86/37.06 | | | CLOSE: (23) is inconsistent.
% 266.86/37.06 | | |
% 266.86/37.06 | | End of split
% 266.86/37.06 | |
% 266.86/37.06 | End of split
% 266.86/37.06 |
% 266.86/37.06 End of proof
% 266.86/37.06
% 266.86/37.06 Sub-proof #43 shows that the following formulas are inconsistent:
% 266.86/37.06 ----------------------------------------------------------------
% 266.86/37.06 (1) $i(a1040)
% 266.86/37.06 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.06 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.06 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.06 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.06 (3) $i(a1010)
% 266.86/37.06 (4) $i(a1004)
% 266.86/37.06 (5) hskp4
% 266.86/37.06 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.06 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.06 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.06 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.86/37.06 (7) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.86/37.06 ~ c0_1(v0) | ~ ndr1_0)
% 266.86/37.06 (8) $i(a1019)
% 266.86/37.06 (9) c2_1(a1001)
% 266.86/37.06 (10) ~ c1_1(a1010)
% 266.86/37.06 (11) c3_1(a1040)
% 266.86/37.06 (12) $i(a1029)
% 266.86/37.06 (13) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 266.86/37.06 (14) $i(a1011)
% 266.86/37.06 (15) c3_1(a1029)
% 266.86/37.06 (16) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.86/37.06 (17) c3_1(a1010)
% 266.86/37.06 (18) hskp22 | hskp14 | hskp12
% 266.86/37.06 (19) c0_1(a1010)
% 266.86/37.06 (20) ~ c1_1(a1001)
% 266.86/37.06 (21) $i(a1001)
% 266.86/37.06 (22) c1_1(a1040)
% 266.86/37.06 (23) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.86/37.06 (24) $i(a1044)
% 266.86/37.06 (25) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.06 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.06 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.06 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.06 (26) ~ c3_1(a1044)
% 266.86/37.06 (27) c3_1(a1001)
% 266.86/37.06 (28) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.86/37.06 (29) c1_1(a1044)
% 266.86/37.06 (30) c0_1(a1044)
% 266.86/37.06 (31) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.06 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.06 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.06 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.06 (32) c0_1(a1040)
% 266.86/37.06 (33) c2_1(a1029)
% 266.86/37.06 (34) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.06 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.06 ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.06 c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 266.86/37.06
% 266.86/37.06 Begin of proof
% 266.86/37.06 |
% 266.86/37.06 | BETA: splitting (16) gives:
% 266.86/37.06 |
% 266.86/37.06 | Case 1:
% 266.86/37.06 | |
% 266.86/37.06 | | (35) ~ hskp4
% 266.86/37.06 | |
% 266.86/37.06 | | PRED_UNIFY: (5), (35) imply:
% 266.86/37.06 | | (36) $false
% 266.86/37.06 | |
% 266.86/37.06 | | CLOSE: (36) is inconsistent.
% 266.86/37.06 | |
% 266.86/37.06 | Case 2:
% 266.86/37.06 | |
% 266.86/37.06 | | (37) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004)
% 266.86/37.06 | |
% 266.86/37.06 | | ALPHA: (37) implies:
% 266.86/37.06 | | (38) ~ c3_1(a1004)
% 266.86/37.06 | | (39) ndr1_0
% 266.86/37.06 | | (40) c2_1(a1004)
% 266.86/37.06 | | (41) c1_1(a1004)
% 266.86/37.06 | |
% 266.86/37.06 | | BETA: splitting (23) gives:
% 266.86/37.06 | |
% 266.86/37.06 | | Case 1:
% 266.86/37.06 | | |
% 266.86/37.06 | | | (42) ~ hskp12
% 266.86/37.06 | | |
% 266.86/37.06 | | | BETA: splitting (28) gives:
% 266.86/37.06 | | |
% 266.86/37.06 | | | Case 1:
% 266.86/37.06 | | | |
% 266.86/37.06 | | | | (43) ~ hskp9
% 266.86/37.06 | | | |
% 266.86/37.06 | | | | BETA: splitting (7) gives:
% 266.86/37.06 | | | |
% 266.86/37.06 | | | | Case 1:
% 266.86/37.06 | | | | |
% 266.86/37.06 | | | | | (44) hskp12
% 266.86/37.06 | | | | |
% 266.86/37.06 | | | | | PRED_UNIFY: (42), (44) imply:
% 266.86/37.06 | | | | | (45) $false
% 266.86/37.06 | | | | |
% 266.86/37.06 | | | | | CLOSE: (45) is inconsistent.
% 266.86/37.06 | | | | |
% 266.86/37.06 | | | | Case 2:
% 266.86/37.06 | | | | |
% 266.86/37.06 | | | | | (46) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.86/37.06 | | | | | ~ c0_1(v0) | ~ ndr1_0)
% 266.86/37.06 | | | | |
% 266.86/37.06 | | | | | REF_CLOSE: (1), (2), (3), (4), (9), (10), (11), (17), (19), (20),
% 266.86/37.06 | | | | | (21), (22), (24), (27), (29), (30), (32), (34), (38), (39),
% 266.86/37.06 | | | | | (40), (41), (43), (46) are inconsistent by sub-proof #44.
% 266.86/37.06 | | | | |
% 266.86/37.06 | | | | End of split
% 266.86/37.06 | | | |
% 266.86/37.06 | | | Case 2:
% 266.86/37.06 | | | |
% 266.86/37.06 | | | | (47) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 266.86/37.06 | | | |
% 266.86/37.06 | | | | ALPHA: (47) implies:
% 266.86/37.06 | | | | (48) ~ c2_1(a1011)
% 266.86/37.06 | | | | (49) c0_1(a1011)
% 266.86/37.06 | | | | (50) c1_1(a1011)
% 266.86/37.06 | | | |
% 266.86/37.06 | | | | BETA: splitting (2) gives:
% 266.86/37.06 | | | |
% 266.86/37.06 | | | | Case 1:
% 266.86/37.06 | | | | |
% 266.86/37.07 | | | | | (51) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.07 | | | | | ndr1_0 | c3_1(v0))
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | GROUND_INST: instantiating (51) with a1004, simplifying with (4),
% 266.86/37.07 | | | | | (38), (39), (40), (41) gives:
% 266.86/37.07 | | | | | (52) $false
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | CLOSE: (52) is inconsistent.
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | Case 2:
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | (53) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.07 | | | | | ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0)
% 266.86/37.07 | | | | | | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | BETA: splitting (53) gives:
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | Case 1:
% 266.86/37.07 | | | | | |
% 266.86/37.07 | | | | | | (54) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.07 | | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.07 | | | | | |
% 266.86/37.07 | | | | | | GROUND_INST: instantiating (54) with a1029, simplifying with (12),
% 266.86/37.07 | | | | | | (15), (33), (39) gives:
% 266.86/37.07 | | | | | | (55) c1_1(a1029)
% 266.86/37.07 | | | | | |
% 266.86/37.07 | | | | | | REF_CLOSE: (3), (10), (12), (14), (15), (17), (19), (33), (34),
% 266.86/37.07 | | | | | | (39), (48), (49), (50), (55) are inconsistent by
% 266.86/37.07 | | | | | | sub-proof #123.
% 266.86/37.07 | | | | | |
% 266.86/37.07 | | | | | Case 2:
% 266.86/37.07 | | | | | |
% 266.86/37.07 | | | | | | (56) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.07 | | | | | | ndr1_0 | c2_1(v0))
% 266.86/37.07 | | | | | |
% 266.86/37.07 | | | | | | GROUND_INST: instantiating (56) with a1040, simplifying with (1),
% 266.86/37.07 | | | | | | (11), (32), (39) gives:
% 266.86/37.07 | | | | | | (57) c2_1(a1040)
% 266.86/37.07 | | | | | |
% 266.86/37.07 | | | | | | BETA: splitting (34) gives:
% 266.86/37.07 | | | | | |
% 266.86/37.07 | | | | | | Case 1:
% 266.86/37.07 | | | | | | |
% 266.86/37.07 | | | | | | | (58) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.07 | | | | | | | c2_1(v0) | ~ ndr1_0)
% 266.86/37.07 | | | | | | |
% 266.86/37.07 | | | | | | | GROUND_INST: instantiating (58) with a1040, simplifying with (1),
% 266.86/37.07 | | | | | | | (11), (22), (39), (57) gives:
% 266.86/37.07 | | | | | | | (59) $false
% 266.86/37.07 | | | | | | |
% 266.86/37.07 | | | | | | | CLOSE: (59) is inconsistent.
% 266.86/37.07 | | | | | | |
% 266.86/37.07 | | | | | | Case 2:
% 266.86/37.07 | | | | | | |
% 266.86/37.07 | | | | | | | (60) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.07 | | | | | | | ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 266.86/37.07 | | | | | | | c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 266.86/37.07 | | | | | | |
% 266.86/37.07 | | | | | | | BETA: splitting (60) gives:
% 266.86/37.07 | | | | | | |
% 266.86/37.07 | | | | | | | Case 1:
% 266.86/37.07 | | | | | | | |
% 266.86/37.07 | | | | | | | | (61) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.86/37.07 | | | | | | | | ~ ndr1_0 | c2_1(v0))
% 266.86/37.07 | | | | | | | |
% 266.86/37.07 | | | | | | | | GROUND_INST: instantiating (61) with a1011, simplifying with
% 266.86/37.07 | | | | | | | | (14), (39), (48), (49), (50) gives:
% 266.86/37.07 | | | | | | | | (62) $false
% 266.86/37.07 | | | | | | | |
% 266.86/37.07 | | | | | | | | CLOSE: (62) is inconsistent.
% 266.86/37.07 | | | | | | | |
% 266.86/37.07 | | | | | | | Case 2:
% 266.86/37.07 | | | | | | | |
% 266.86/37.07 | | | | | | | | (63) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.07 | | | | | | | | ~ ndr1_0 | c1_1(v0))
% 266.86/37.07 | | | | | | | |
% 266.86/37.07 | | | | | | | | GROUND_INST: instantiating (63) with a1010, simplifying with
% 266.86/37.07 | | | | | | | | (3), (10), (17), (19), (39) gives:
% 266.86/37.07 | | | | | | | | (64) $false
% 266.86/37.07 | | | | | | | |
% 266.86/37.07 | | | | | | | | CLOSE: (64) is inconsistent.
% 266.86/37.07 | | | | | | | |
% 266.86/37.07 | | | | | | | End of split
% 266.86/37.07 | | | | | | |
% 266.86/37.07 | | | | | | End of split
% 266.86/37.07 | | | | | |
% 266.86/37.07 | | | | | End of split
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | End of split
% 266.86/37.07 | | | |
% 266.86/37.07 | | | End of split
% 266.86/37.07 | | |
% 266.86/37.07 | | Case 2:
% 266.86/37.07 | | |
% 266.86/37.07 | | | (65) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019)
% 266.86/37.07 | | |
% 266.86/37.07 | | | ALPHA: (65) implies:
% 266.86/37.07 | | | (66) ~ c0_1(a1019)
% 266.86/37.07 | | | (67) c2_1(a1019)
% 266.86/37.07 | | | (68) c1_1(a1019)
% 266.86/37.07 | | |
% 266.86/37.07 | | | BETA: splitting (25) gives:
% 266.86/37.07 | | |
% 266.86/37.07 | | | Case 1:
% 266.86/37.07 | | | |
% 266.86/37.07 | | | | (69) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.07 | | | | | c1_1(v0))
% 266.86/37.07 | | | |
% 266.86/37.07 | | | | REF_CLOSE: (2), (3), (4), (9), (10), (17), (19), (20), (21), (27), (38),
% 266.86/37.07 | | | | (39), (40), (41), (69) are inconsistent by sub-proof #90.
% 266.86/37.07 | | | |
% 266.86/37.07 | | | Case 2:
% 266.86/37.07 | | | |
% 266.86/37.07 | | | | (70) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.07 | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.07 | | | | | c3_1(v0) | c2_1(v0))
% 266.86/37.07 | | | |
% 266.86/37.07 | | | | BETA: splitting (70) gives:
% 266.86/37.07 | | | |
% 266.86/37.07 | | | | Case 1:
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | (71) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.86/37.07 | | | | | | c0_1(v0))
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | REF_CLOSE: (6), (8), (13), (39), (66), (67), (68), (71) are
% 266.86/37.07 | | | | | inconsistent by sub-proof #140.
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | Case 2:
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | (72) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.86/37.07 | | | | | | c2_1(v0))
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | GROUND_INST: instantiating (72) with a1044, simplifying with (24),
% 266.86/37.07 | | | | | (26), (30), (39) gives:
% 266.86/37.07 | | | | | (73) c2_1(a1044)
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (10), (14), (17), (18), (19),
% 266.86/37.07 | | | | | (20), (21), (23), (24), (26), (27), (28), (29), (30), (31),
% 266.86/37.07 | | | | | (39), (72), (73) are inconsistent by sub-proof #96.
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | End of split
% 266.86/37.07 | | | |
% 266.86/37.07 | | | End of split
% 266.86/37.07 | | |
% 266.86/37.07 | | End of split
% 266.86/37.07 | |
% 266.86/37.07 | End of split
% 266.86/37.07 |
% 266.86/37.07 End of proof
% 266.86/37.07
% 266.86/37.07 Sub-proof #44 shows that the following formulas are inconsistent:
% 266.86/37.07 ----------------------------------------------------------------
% 266.86/37.07 (1) $i(a1040)
% 266.86/37.07 (2) ~ c3_1(a1004)
% 266.86/37.07 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.07 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.07 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.07 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.07 (4) $i(a1010)
% 266.86/37.07 (5) $i(a1004)
% 266.86/37.07 (6) c2_1(a1004)
% 266.86/37.07 (7) c1_1(a1004)
% 266.86/37.07 (8) c2_1(a1001)
% 266.86/37.07 (9) ~ c1_1(a1010)
% 266.86/37.07 (10) ~ hskp9
% 266.86/37.07 (11) c3_1(a1040)
% 266.86/37.07 (12) c3_1(a1010)
% 266.86/37.07 (13) c0_1(a1010)
% 266.86/37.07 (14) ~ c1_1(a1001)
% 266.86/37.07 (15) $i(a1001)
% 266.86/37.07 (16) c1_1(a1040)
% 266.86/37.07 (17) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.07 c0_1(v0) | ~ ndr1_0)
% 266.86/37.07 (18) ndr1_0
% 266.86/37.07 (19) $i(a1044)
% 266.86/37.07 (20) c3_1(a1001)
% 266.86/37.07 (21) c1_1(a1044)
% 266.86/37.07 (22) c0_1(a1044)
% 266.86/37.07 (23) c0_1(a1040)
% 266.86/37.07 (24) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.07 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.07 ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.07 c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 266.86/37.07
% 266.86/37.07 Begin of proof
% 266.86/37.07 |
% 266.86/37.07 | BETA: splitting (3) gives:
% 266.86/37.07 |
% 266.86/37.07 | Case 1:
% 266.86/37.07 | |
% 266.86/37.07 | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.07 | | c3_1(v0))
% 266.86/37.07 | |
% 266.86/37.07 | | GROUND_INST: instantiating (25) with a1004, simplifying with (2), (5), (6),
% 266.86/37.07 | | (7), (18) gives:
% 266.86/37.07 | | (26) $false
% 266.86/37.07 | |
% 266.86/37.07 | | CLOSE: (26) is inconsistent.
% 266.86/37.07 | |
% 266.86/37.07 | Case 2:
% 266.86/37.07 | |
% 266.86/37.07 | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.07 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.07 | | ~ ndr1_0 | c2_1(v0))
% 266.86/37.07 | |
% 266.86/37.07 | | BETA: splitting (27) gives:
% 266.86/37.07 | |
% 266.86/37.07 | | Case 1:
% 266.86/37.07 | | |
% 266.86/37.07 | | | (28) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.07 | | | c1_1(v0))
% 266.86/37.07 | | |
% 266.86/37.07 | | | GROUND_INST: instantiating (28) with a1001, simplifying with (8), (14),
% 266.86/37.07 | | | (15), (18), (20) gives:
% 266.86/37.07 | | | (29) $false
% 266.86/37.07 | | |
% 266.86/37.07 | | | CLOSE: (29) is inconsistent.
% 266.86/37.07 | | |
% 266.86/37.07 | | Case 2:
% 266.86/37.07 | | |
% 266.86/37.07 | | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.07 | | | c2_1(v0))
% 266.86/37.07 | | |
% 266.86/37.07 | | | GROUND_INST: instantiating (30) with a1040, simplifying with (1), (11),
% 266.86/37.07 | | | (18), (23) gives:
% 266.86/37.07 | | | (31) c2_1(a1040)
% 266.86/37.07 | | |
% 266.86/37.07 | | | BETA: splitting (24) gives:
% 266.86/37.07 | | |
% 266.86/37.07 | | | Case 1:
% 266.86/37.07 | | | |
% 266.86/37.07 | | | | (32) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.07 | | | | c2_1(v0) | ~ ndr1_0)
% 266.86/37.07 | | | |
% 266.86/37.07 | | | | GROUND_INST: instantiating (32) with a1040, simplifying with (1), (11),
% 266.86/37.07 | | | | (16), (18), (31) gives:
% 266.86/37.07 | | | | (33) $false
% 266.86/37.07 | | | |
% 266.86/37.07 | | | | CLOSE: (33) is inconsistent.
% 266.86/37.07 | | | |
% 266.86/37.07 | | | Case 2:
% 266.86/37.07 | | | |
% 266.86/37.07 | | | | (34) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.07 | | | | | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.07 | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 266.86/37.07 | | | |
% 266.86/37.07 | | | | BETA: splitting (34) gives:
% 266.86/37.07 | | | |
% 266.86/37.07 | | | | Case 1:
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | (35) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.07 | | | | | ndr1_0 | c2_1(v0))
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | GROUND_INST: instantiating (35) with a1044, simplifying with (18),
% 266.86/37.07 | | | | | (19), (21), (22) gives:
% 266.86/37.07 | | | | | (36) c2_1(a1044)
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | REF_CLOSE: (10), (17), (18), (19), (21), (22), (36) are inconsistent
% 266.86/37.07 | | | | | by sub-proof #151.
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | Case 2:
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | (37) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.07 | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | GROUND_INST: instantiating (37) with a1010, simplifying with (4), (9),
% 266.86/37.07 | | | | | (12), (13), (18) gives:
% 266.86/37.07 | | | | | (38) $false
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | | CLOSE: (38) is inconsistent.
% 266.86/37.07 | | | | |
% 266.86/37.07 | | | | End of split
% 266.86/37.07 | | | |
% 266.86/37.07 | | | End of split
% 266.86/37.07 | | |
% 266.86/37.07 | | End of split
% 266.86/37.07 | |
% 266.86/37.07 | End of split
% 266.86/37.07 |
% 266.86/37.07 End of proof
% 266.86/37.08
% 266.86/37.08 Sub-proof #45 shows that the following formulas are inconsistent:
% 266.86/37.08 ----------------------------------------------------------------
% 266.86/37.08 (1) ~ hskp7
% 266.86/37.08 (2) $i(a1029)
% 266.86/37.08 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.08 ndr1_0)
% 266.86/37.08 (4) $i(a1041)
% 266.86/37.08 (5) c0_1(a1029)
% 266.86/37.08 (6) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.08 c0_1(v0) | ~ ndr1_0)
% 266.86/37.08 (7) $i(a1044)
% 266.86/37.08 (8) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.08 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.08 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.08 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.08 (9) ~ c3_1(a1044)
% 266.86/37.08 (10) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041)
% 266.86/37.08 (11) c1_1(a1044)
% 266.86/37.08 (12) c0_1(a1044)
% 266.86/37.08 (13) c2_1(a1029)
% 266.86/37.08
% 266.86/37.08 Begin of proof
% 266.86/37.08 |
% 266.86/37.08 | ALPHA: (10) implies:
% 266.86/37.08 | (14) ~ c0_1(a1041)
% 266.86/37.08 | (15) ~ c3_1(a1041)
% 266.86/37.08 | (16) ndr1_0
% 266.86/37.08 | (17) c2_1(a1041)
% 266.86/37.08 |
% 266.86/37.08 | BETA: splitting (8) gives:
% 266.86/37.08 |
% 266.86/37.08 | Case 1:
% 266.86/37.08 | |
% 266.86/37.08 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.08 | | c1_1(v0))
% 266.86/37.08 | |
% 266.86/37.08 | | GROUND_INST: instantiating (18) with a1029, simplifying with (2), (5), (13),
% 266.86/37.08 | | (16) gives:
% 266.86/37.08 | | (19) c1_1(a1029)
% 266.86/37.08 | |
% 266.86/37.08 | | GROUND_INST: instantiating (3) with a1029, simplifying with (2), (5), (13),
% 266.86/37.08 | | (16), (19) gives:
% 266.86/37.08 | | (20) $false
% 266.86/37.08 | |
% 266.86/37.08 | | CLOSE: (20) is inconsistent.
% 266.86/37.08 | |
% 266.86/37.08 | Case 2:
% 266.86/37.08 | |
% 266.86/37.08 | | (21) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.08 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.08 | | c3_1(v0) | c2_1(v0))
% 266.86/37.08 | |
% 266.86/37.08 | | BETA: splitting (21) gives:
% 266.86/37.08 | |
% 266.86/37.08 | | Case 1:
% 266.86/37.08 | | |
% 266.86/37.08 | | | (22) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.08 | | | c0_1(v0))
% 266.86/37.08 | | |
% 266.86/37.08 | | | GROUND_INST: instantiating (22) with a1041, simplifying with (4), (14),
% 266.86/37.08 | | | (15), (16), (17) gives:
% 266.86/37.08 | | | (23) $false
% 266.86/37.08 | | |
% 266.86/37.08 | | | CLOSE: (23) is inconsistent.
% 266.86/37.08 | | |
% 266.86/37.08 | | Case 2:
% 266.86/37.08 | | |
% 266.86/37.08 | | | (24) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.08 | | | c2_1(v0))
% 266.86/37.08 | | |
% 266.86/37.08 | | | GROUND_INST: instantiating (24) with a1044, simplifying with (7), (9),
% 266.86/37.08 | | | (12), (16) gives:
% 266.86/37.08 | | | (25) c2_1(a1044)
% 266.86/37.08 | | |
% 266.86/37.08 | | | REF_CLOSE: (1), (6), (7), (11), (12), (16), (25) are inconsistent by
% 266.86/37.08 | | | sub-proof #156.
% 266.86/37.08 | | |
% 266.86/37.08 | | End of split
% 266.86/37.08 | |
% 266.86/37.08 | End of split
% 266.86/37.08 |
% 266.86/37.08 End of proof
% 266.86/37.08
% 266.86/37.08 Sub-proof #46 shows that the following formulas are inconsistent:
% 266.86/37.08 ----------------------------------------------------------------
% 266.86/37.08 (1) $i(a1043)
% 266.86/37.08 (2) ~ c2_1(a1023)
% 266.86/37.08 (3) ~ hskp22 | (c0_1(a1043) & ndr1_0 & ~ c1_1(a1043) & ~ c2_1(a1043))
% 266.86/37.08 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.08 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.08 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.08 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.08 (5) ~ hskp29
% 266.86/37.08 (6) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.08 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.08 c1_1(v0) | c3_1(v0))
% 266.86/37.08 (7) $i(a1004)
% 266.86/37.08 (8) ~ hskp7
% 266.86/37.08 (9) ~ hskp21
% 266.86/37.08 (10) c2_1(a1001)
% 266.86/37.08 (11) $i(a1023)
% 266.86/37.08 (12) ~ hskp6
% 266.86/37.08 (13) $i(a1012)
% 266.86/37.08 (14) ~ c1_1(a1023)
% 266.86/37.08 (15) hskp29 | hskp21 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.08 c1_1(v0) | c3_1(v0))
% 266.86/37.08 (16) ~ hskp18 | (c1_1(a1036) & c3_1(a1036) & ndr1_0 & ~ c2_1(a1036))
% 266.86/37.08 (17) ~ hskp10 | (c0_1(a1012) & ndr1_0 & ~ c1_1(a1012) & ~ c3_1(a1012))
% 266.86/37.08 (18) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.86/37.08 (19) ~ c1_1(a1001)
% 266.86/37.08 (20) $i(a1001)
% 266.86/37.08 (21) hskp21 | hskp7 | hskp4
% 266.86/37.08 (22) hskp18 | hskp10 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.08 c1_1(v0) | c2_1(v0))
% 266.86/37.08 (23) c3_1(a1001)
% 266.86/37.08 (24) $i(a1036)
% 266.86/37.08 (25) hskp22 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) |
% 266.86/37.08 ~ ndr1_0 | c2_1(v0))
% 266.86/37.08 (26) c3_1(a1023)
% 266.86/37.08
% 266.86/37.08 Begin of proof
% 266.86/37.08 |
% 266.86/37.08 | BETA: splitting (21) gives:
% 266.86/37.08 |
% 266.86/37.08 | Case 1:
% 266.86/37.08 | |
% 266.86/37.08 | | (27) hskp7
% 266.86/37.08 | |
% 266.86/37.08 | | PRED_UNIFY: (8), (27) imply:
% 266.86/37.08 | | (28) $false
% 266.86/37.08 | |
% 266.86/37.08 | | CLOSE: (28) is inconsistent.
% 266.86/37.08 | |
% 266.86/37.08 | Case 2:
% 266.86/37.08 | |
% 266.86/37.08 | | (29) hskp21 | hskp4
% 266.86/37.08 | |
% 266.86/37.08 | | BETA: splitting (29) gives:
% 266.86/37.08 | |
% 266.86/37.08 | | Case 1:
% 266.86/37.08 | | |
% 266.86/37.08 | | | (30) hskp4
% 266.86/37.08 | | |
% 266.86/37.08 | | | BETA: splitting (18) gives:
% 266.86/37.08 | | |
% 266.86/37.08 | | | Case 1:
% 266.86/37.08 | | | |
% 266.86/37.08 | | | | (31) ~ hskp4
% 266.86/37.08 | | | |
% 266.86/37.08 | | | | PRED_UNIFY: (30), (31) imply:
% 266.86/37.08 | | | | (32) $false
% 266.86/37.08 | | | |
% 266.86/37.08 | | | | CLOSE: (32) is inconsistent.
% 266.86/37.08 | | | |
% 266.86/37.08 | | | Case 2:
% 266.86/37.08 | | | |
% 266.86/37.08 | | | | (33) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004)
% 266.86/37.08 | | | |
% 266.86/37.08 | | | | ALPHA: (33) implies:
% 266.86/37.08 | | | | (34) ~ c3_1(a1004)
% 266.86/37.08 | | | | (35) ndr1_0
% 266.86/37.08 | | | | (36) c2_1(a1004)
% 266.86/37.08 | | | | (37) c1_1(a1004)
% 266.86/37.08 | | | |
% 266.86/37.08 | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 266.86/37.08 | | | | (12), (13), (14), (15), (16), (17), (19), (20), (22), (23),
% 266.86/37.08 | | | | (24), (25), (26), (34), (35), (36), (37) are inconsistent by
% 266.86/37.08 | | | | sub-proof #47.
% 266.86/37.08 | | | |
% 266.86/37.08 | | | End of split
% 266.86/37.08 | | |
% 266.86/37.08 | | Case 2:
% 266.86/37.08 | | |
% 266.86/37.08 | | | (38) hskp21
% 266.86/37.08 | | |
% 266.86/37.08 | | | PRED_UNIFY: (9), (38) imply:
% 266.86/37.08 | | | (39) $false
% 266.86/37.08 | | |
% 266.86/37.08 | | | CLOSE: (39) is inconsistent.
% 266.86/37.08 | | |
% 266.86/37.08 | | End of split
% 266.86/37.08 | |
% 266.86/37.08 | End of split
% 266.86/37.08 |
% 266.86/37.08 End of proof
% 266.86/37.08
% 266.86/37.08 Sub-proof #47 shows that the following formulas are inconsistent:
% 266.86/37.08 ----------------------------------------------------------------
% 266.86/37.08 (1) $i(a1043)
% 266.86/37.08 (2) ~ c2_1(a1023)
% 266.86/37.08 (3) ~ hskp22 | (c0_1(a1043) & ndr1_0 & ~ c1_1(a1043) & ~ c2_1(a1043))
% 266.86/37.08 (4) ~ c3_1(a1004)
% 266.86/37.08 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.08 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.08 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.08 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.08 (6) ~ hskp29
% 266.86/37.08 (7) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.08 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.08 c1_1(v0) | c3_1(v0))
% 266.86/37.08 (8) $i(a1004)
% 266.86/37.08 (9) ~ hskp7
% 266.86/37.08 (10) c2_1(a1004)
% 266.86/37.08 (11) c1_1(a1004)
% 266.86/37.08 (12) ~ hskp21
% 266.86/37.08 (13) c2_1(a1001)
% 266.86/37.08 (14) $i(a1023)
% 266.86/37.08 (15) ~ hskp6
% 266.86/37.08 (16) $i(a1012)
% 266.86/37.08 (17) ~ c1_1(a1023)
% 266.86/37.08 (18) hskp29 | hskp21 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.08 c1_1(v0) | c3_1(v0))
% 266.86/37.08 (19) ~ hskp18 | (c1_1(a1036) & c3_1(a1036) & ndr1_0 & ~ c2_1(a1036))
% 266.86/37.09 (20) ~ hskp10 | (c0_1(a1012) & ndr1_0 & ~ c1_1(a1012) & ~ c3_1(a1012))
% 266.86/37.09 (21) ~ c1_1(a1001)
% 266.86/37.09 (22) $i(a1001)
% 266.86/37.09 (23) ndr1_0
% 266.86/37.09 (24) hskp18 | hskp10 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.09 c1_1(v0) | c2_1(v0))
% 266.86/37.09 (25) c3_1(a1001)
% 266.86/37.09 (26) $i(a1036)
% 266.86/37.09 (27) hskp22 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) |
% 266.86/37.09 ~ ndr1_0 | c2_1(v0))
% 266.86/37.09 (28) c3_1(a1023)
% 266.86/37.09
% 266.86/37.09 Begin of proof
% 266.86/37.09 |
% 266.86/37.09 | BETA: splitting (18) gives:
% 266.86/37.09 |
% 266.86/37.09 | Case 1:
% 266.86/37.09 | |
% 266.86/37.09 | | (29) hskp29
% 266.86/37.09 | |
% 266.86/37.09 | | PRED_UNIFY: (6), (29) imply:
% 266.86/37.09 | | (30) $false
% 266.86/37.09 | |
% 266.86/37.09 | | CLOSE: (30) is inconsistent.
% 266.86/37.09 | |
% 266.86/37.09 | Case 2:
% 266.86/37.09 | |
% 266.86/37.09 | | (31) hskp21 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.09 | | c1_1(v0) | c3_1(v0))
% 266.86/37.09 | |
% 266.86/37.09 | | BETA: splitting (31) gives:
% 266.86/37.09 | |
% 266.86/37.09 | | Case 1:
% 266.86/37.09 | | |
% 266.86/37.09 | | | (32) hskp21
% 266.86/37.09 | | |
% 266.86/37.09 | | | PRED_UNIFY: (12), (32) imply:
% 266.86/37.09 | | | (33) $false
% 266.86/37.09 | | |
% 266.86/37.09 | | | CLOSE: (33) is inconsistent.
% 266.86/37.09 | | |
% 266.86/37.09 | | Case 2:
% 266.86/37.09 | | |
% 266.86/37.09 | | | (34) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.09 | | | c3_1(v0))
% 266.86/37.09 | | |
% 266.86/37.09 | | | BETA: splitting (3) gives:
% 266.86/37.09 | | |
% 266.86/37.09 | | | Case 1:
% 266.86/37.09 | | | |
% 266.86/37.09 | | | | (35) ~ hskp22
% 266.86/37.09 | | | |
% 266.86/37.09 | | | | BETA: splitting (27) gives:
% 266.86/37.09 | | | |
% 266.86/37.09 | | | | Case 1:
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | (36) hskp6
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | PRED_UNIFY: (15), (36) imply:
% 266.86/37.09 | | | | | (37) $false
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | CLOSE: (37) is inconsistent.
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | Case 2:
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | (38) hskp22 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0)
% 266.86/37.09 | | | | | | ~ ndr1_0 | c2_1(v0))
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | BETA: splitting (19) gives:
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | Case 1:
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | (39) ~ hskp18
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | BETA: splitting (18) gives:
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | Case 1:
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | (40) hskp29
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | PRED_UNIFY: (6), (40) imply:
% 266.86/37.09 | | | | | | | (41) $false
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | CLOSE: (41) is inconsistent.
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | Case 2:
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | BETA: splitting (20) gives:
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | Case 1:
% 266.86/37.09 | | | | | | | |
% 266.86/37.09 | | | | | | | | (42) ~ hskp10
% 266.86/37.09 | | | | | | | |
% 266.86/37.09 | | | | | | | | BETA: splitting (24) gives:
% 266.86/37.09 | | | | | | | |
% 266.86/37.09 | | | | | | | | Case 1:
% 266.86/37.09 | | | | | | | | |
% 266.86/37.09 | | | | | | | | | (43) hskp10
% 266.86/37.09 | | | | | | | | |
% 266.86/37.09 | | | | | | | | | PRED_UNIFY: (42), (43) imply:
% 266.86/37.09 | | | | | | | | | (44) $false
% 266.86/37.09 | | | | | | | | |
% 266.86/37.09 | | | | | | | | | CLOSE: (44) is inconsistent.
% 266.86/37.09 | | | | | | | | |
% 266.86/37.09 | | | | | | | | Case 2:
% 266.86/37.09 | | | | | | | | |
% 266.86/37.09 | | | | | | | | | (45) hskp18 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.09 | | | | | | | | | ndr1_0 | c1_1(v0) | c2_1(v0))
% 266.86/37.09 | | | | | | | | |
% 266.86/37.09 | | | | | | | | | BETA: splitting (45) gives:
% 266.86/37.09 | | | | | | | | |
% 266.86/37.09 | | | | | | | | | Case 1:
% 266.86/37.09 | | | | | | | | | |
% 266.86/37.09 | | | | | | | | | | (46) hskp18
% 266.86/37.09 | | | | | | | | | |
% 266.86/37.09 | | | | | | | | | | PRED_UNIFY: (39), (46) imply:
% 266.86/37.09 | | | | | | | | | | (47) $false
% 266.86/37.09 | | | | | | | | | |
% 266.86/37.09 | | | | | | | | | | CLOSE: (47) is inconsistent.
% 266.86/37.09 | | | | | | | | | |
% 266.86/37.09 | | | | | | | | | Case 2:
% 266.86/37.09 | | | | | | | | | |
% 266.86/37.09 | | | | | | | | | | (48) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.09 | | | | | | | | | | c1_1(v0) | c2_1(v0))
% 266.86/37.09 | | | | | | | | | |
% 266.86/37.09 | | | | | | | | | | GROUND_INST: instantiating (48) with a1023, simplifying with
% 266.86/37.09 | | | | | | | | | | (2), (14), (17), (23), (28) gives:
% 266.86/37.09 | | | | | | | | | | (49) $false
% 266.86/37.09 | | | | | | | | | |
% 266.86/37.09 | | | | | | | | | | CLOSE: (49) is inconsistent.
% 266.86/37.09 | | | | | | | | | |
% 266.86/37.09 | | | | | | | | | End of split
% 266.86/37.09 | | | | | | | | |
% 266.86/37.09 | | | | | | | | End of split
% 266.86/37.09 | | | | | | | |
% 266.86/37.09 | | | | | | | Case 2:
% 266.86/37.09 | | | | | | | |
% 266.86/37.09 | | | | | | | | (50) c0_1(a1012) & ndr1_0 & ~ c1_1(a1012) & ~ c3_1(a1012)
% 266.86/37.09 | | | | | | | |
% 266.86/37.09 | | | | | | | | ALPHA: (50) implies:
% 266.86/37.09 | | | | | | | | (51) ~ c3_1(a1012)
% 266.86/37.09 | | | | | | | | (52) ~ c1_1(a1012)
% 266.86/37.09 | | | | | | | | (53) c0_1(a1012)
% 266.86/37.09 | | | | | | | |
% 266.86/37.09 | | | | | | | | REF_CLOSE: (12), (16), (23), (31), (51), (52), (53) are
% 266.86/37.09 | | | | | | | | inconsistent by sub-proof #48.
% 266.86/37.09 | | | | | | | |
% 266.86/37.09 | | | | | | | End of split
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | End of split
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | Case 2:
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | (54) c1_1(a1036) & c3_1(a1036) & ndr1_0 & ~ c2_1(a1036)
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | ALPHA: (54) implies:
% 266.86/37.09 | | | | | | (55) ~ c2_1(a1036)
% 266.86/37.09 | | | | | | (56) c3_1(a1036)
% 266.86/37.09 | | | | | | (57) c1_1(a1036)
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | BETA: splitting (38) gives:
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | Case 1:
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | (58) hskp22
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | PRED_UNIFY: (35), (58) imply:
% 266.86/37.09 | | | | | | | (59) $false
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | CLOSE: (59) is inconsistent.
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | Case 2:
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | (60) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.09 | | | | | | | ndr1_0 | c2_1(v0))
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | GROUND_INST: instantiating (60) with a1036, simplifying with (23),
% 266.86/37.09 | | | | | | | (26), (55), (56), (57) gives:
% 266.86/37.09 | | | | | | | (61) $false
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | CLOSE: (61) is inconsistent.
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | End of split
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | End of split
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | End of split
% 266.86/37.09 | | | |
% 266.86/37.09 | | | Case 2:
% 266.86/37.09 | | | |
% 266.86/37.09 | | | | (62) c0_1(a1043) & ndr1_0 & ~ c1_1(a1043) & ~ c2_1(a1043)
% 266.86/37.09 | | | |
% 266.86/37.09 | | | | ALPHA: (62) implies:
% 266.86/37.09 | | | | (63) ~ c2_1(a1043)
% 266.86/37.09 | | | | (64) ~ c1_1(a1043)
% 266.86/37.09 | | | | (65) c0_1(a1043)
% 266.86/37.09 | | | |
% 266.86/37.09 | | | | BETA: splitting (7) gives:
% 266.86/37.09 | | | |
% 266.86/37.09 | | | | Case 1:
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | (66) hskp7
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | PRED_UNIFY: (9), (66) imply:
% 266.86/37.09 | | | | | (67) $false
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | CLOSE: (67) is inconsistent.
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | Case 2:
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | GROUND_INST: instantiating (34) with a1043, simplifying with (1),
% 266.86/37.09 | | | | | (23), (64), (65) gives:
% 266.86/37.09 | | | | | (68) c3_1(a1043)
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | BETA: splitting (5) gives:
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | | Case 1:
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | (69) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.09 | | | | | | ndr1_0 | c3_1(v0))
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | GROUND_INST: instantiating (69) with a1004, simplifying with (4),
% 266.86/37.09 | | | | | | (8), (10), (11), (23) gives:
% 266.86/37.09 | | | | | | (70) $false
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | CLOSE: (70) is inconsistent.
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | Case 2:
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | (71) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.09 | | | | | | ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 266.86/37.09 | | | | | | c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | BETA: splitting (71) gives:
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | | Case 1:
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | (72) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.09 | | | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | GROUND_INST: instantiating (72) with a1001, simplifying with (13),
% 266.86/37.09 | | | | | | | (21), (22), (23), (25) gives:
% 266.86/37.09 | | | | | | | (73) $false
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | CLOSE: (73) is inconsistent.
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | Case 2:
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | (74) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.09 | | | | | | | ndr1_0 | c2_1(v0))
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | GROUND_INST: instantiating (74) with a1043, simplifying with (1),
% 266.86/37.09 | | | | | | | (23), (63), (65), (68) gives:
% 266.86/37.09 | | | | | | | (75) $false
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | | CLOSE: (75) is inconsistent.
% 266.86/37.09 | | | | | | |
% 266.86/37.09 | | | | | | End of split
% 266.86/37.09 | | | | | |
% 266.86/37.09 | | | | | End of split
% 266.86/37.09 | | | | |
% 266.86/37.09 | | | | End of split
% 266.86/37.09 | | | |
% 266.86/37.09 | | | End of split
% 266.86/37.09 | | |
% 266.86/37.09 | | End of split
% 266.86/37.09 | |
% 266.86/37.09 | End of split
% 266.86/37.09 |
% 266.86/37.09 End of proof
% 266.86/37.09
% 266.86/37.09 Sub-proof #48 shows that the following formulas are inconsistent:
% 266.86/37.09 ----------------------------------------------------------------
% 266.86/37.09 (1) ~ hskp21
% 266.86/37.09 (2) $i(a1012)
% 266.86/37.09 (3) ~ c3_1(a1012)
% 266.86/37.09 (4) ndr1_0
% 266.86/37.09 (5) ~ c1_1(a1012)
% 266.86/37.09 (6) c0_1(a1012)
% 266.86/37.09 (7) hskp21 | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.09 c3_1(v0))
% 266.86/37.09
% 266.86/37.09 Begin of proof
% 266.86/37.09 |
% 266.86/37.09 | BETA: splitting (7) gives:
% 266.86/37.09 |
% 266.86/37.09 | Case 1:
% 266.86/37.09 | |
% 266.86/37.09 | | (8) hskp21
% 266.86/37.09 | |
% 266.86/37.09 | | PRED_UNIFY: (1), (8) imply:
% 266.86/37.09 | | (9) $false
% 266.86/37.09 | |
% 266.86/37.09 | | CLOSE: (9) is inconsistent.
% 266.86/37.09 | |
% 266.86/37.09 | Case 2:
% 266.86/37.09 | |
% 266.86/37.09 | | (10) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.09 | | c3_1(v0))
% 266.86/37.09 | |
% 266.86/37.09 | | GROUND_INST: instantiating (10) with a1012, simplifying with (2), (3), (4),
% 266.86/37.09 | | (5), (6) gives:
% 266.86/37.09 | | (11) $false
% 266.86/37.09 | |
% 266.86/37.09 | | CLOSE: (11) is inconsistent.
% 266.86/37.09 | |
% 266.86/37.09 | End of split
% 266.86/37.09 |
% 266.86/37.09 End of proof
% 266.86/37.09
% 266.86/37.09 Sub-proof #49 shows that the following formulas are inconsistent:
% 266.86/37.09 ----------------------------------------------------------------
% 266.86/37.09 (1) $i(a1026)
% 266.86/37.09 (2) ~ c2_1(a1006)
% 266.86/37.09 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.09 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.09 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.09 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.09 (4) c3_1(a1006)
% 266.86/37.09 (5) $i(a1004)
% 266.86/37.09 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.09 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.09 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.09 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.86/37.09 (7) ~ c0_1(a1032)
% 266.86/37.09 (8) $i(a1032)
% 266.86/37.09 (9) hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.09 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.09 c1_1(v0) | c0_1(v0))
% 266.86/37.09 (10) c2_1(a1026)
% 266.86/37.09 (11) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.86/37.09 (12) c2_1(a1032)
% 266.86/37.09 (13) ~ c0_1(a1026)
% 266.86/37.09 (14) c3_1(a1032)
% 266.86/37.10 (15) ndr1_0
% 266.86/37.10 (16) ~ c1_1(a1026)
% 266.86/37.10 (17) $i(a1006)
% 266.86/37.10 (18) c0_1(a1006)
% 266.86/37.10
% 266.86/37.10 Begin of proof
% 266.86/37.10 |
% 266.86/37.10 | BETA: splitting (11) gives:
% 266.86/37.10 |
% 266.86/37.10 | Case 1:
% 266.86/37.10 | |
% 266.86/37.10 | | (19) ~ hskp4
% 266.86/37.10 | |
% 266.86/37.10 | | REF_CLOSE: (1), (2), (4), (9), (10), (13), (15), (16), (17), (18), (19) are
% 266.86/37.10 | | inconsistent by sub-proof #82.
% 266.86/37.10 | |
% 266.86/37.10 | Case 2:
% 266.86/37.10 | |
% 266.86/37.10 | | (20) hskp4
% 266.86/37.10 | |
% 266.86/37.10 | | BETA: splitting (11) gives:
% 266.86/37.10 | |
% 266.86/37.10 | | Case 1:
% 266.86/37.10 | | |
% 266.86/37.10 | | | (21) ~ hskp4
% 266.86/37.10 | | |
% 266.86/37.10 | | | PRED_UNIFY: (20), (21) imply:
% 266.86/37.10 | | | (22) $false
% 266.86/37.10 | | |
% 266.86/37.10 | | | CLOSE: (22) is inconsistent.
% 266.86/37.10 | | |
% 266.86/37.10 | | Case 2:
% 266.86/37.10 | | |
% 266.86/37.10 | | | (23) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004)
% 266.86/37.10 | | |
% 266.86/37.10 | | | ALPHA: (23) implies:
% 266.86/37.10 | | | (24) ~ c3_1(a1004)
% 266.86/37.10 | | | (25) c2_1(a1004)
% 266.86/37.10 | | | (26) c1_1(a1004)
% 266.86/37.10 | | |
% 266.86/37.10 | | | BETA: splitting (6) gives:
% 266.86/37.10 | | |
% 266.86/37.10 | | | Case 1:
% 266.86/37.10 | | | |
% 266.86/37.10 | | | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.10 | | | | c2_1(v0) | ~ ndr1_0)
% 266.86/37.10 | | | |
% 266.86/37.10 | | | | BETA: splitting (3) gives:
% 266.86/37.10 | | | |
% 266.86/37.10 | | | | Case 1:
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | (28) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.10 | | | | | ndr1_0 | c3_1(v0))
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | GROUND_INST: instantiating (28) with a1004, simplifying with (5),
% 266.86/37.10 | | | | | (15), (24), (25), (26) gives:
% 266.86/37.10 | | | | | (29) $false
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | CLOSE: (29) is inconsistent.
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | Case 2:
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.10 | | | | | ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0)
% 266.86/37.10 | | | | | | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | BETA: splitting (30) gives:
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | Case 1:
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.10 | | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | GROUND_INST: instantiating (31) with a1032, simplifying with (8),
% 266.86/37.10 | | | | | | (12), (14), (15) gives:
% 266.86/37.10 | | | | | | (32) c1_1(a1032)
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | GROUND_INST: instantiating (27) with a1032, simplifying with (8),
% 266.86/37.10 | | | | | | (12), (14), (15), (32) gives:
% 266.86/37.10 | | | | | | (33) $false
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | CLOSE: (33) is inconsistent.
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | Case 2:
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | (34) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.10 | | | | | | ndr1_0 | c2_1(v0))
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | GROUND_INST: instantiating (34) with a1006, simplifying with (2),
% 266.86/37.10 | | | | | | (4), (15), (17), (18) gives:
% 266.86/37.10 | | | | | | (35) $false
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | CLOSE: (35) is inconsistent.
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | End of split
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | End of split
% 266.86/37.10 | | | |
% 266.86/37.10 | | | Case 2:
% 266.86/37.10 | | | |
% 266.86/37.10 | | | | (36) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0
% 266.86/37.10 | | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.10 | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.86/37.10 | | | |
% 266.86/37.10 | | | | BETA: splitting (36) gives:
% 266.86/37.10 | | | |
% 266.86/37.10 | | | | Case 1:
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | (37) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.10 | | | | | ndr1_0 | c0_1(v0))
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | BETA: splitting (3) gives:
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | Case 1:
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | (38) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.10 | | | | | | ndr1_0 | c3_1(v0))
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | GROUND_INST: instantiating (38) with a1004, simplifying with (5),
% 266.86/37.10 | | | | | | (15), (24), (25), (26) gives:
% 266.86/37.10 | | | | | | (39) $false
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | CLOSE: (39) is inconsistent.
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | Case 2:
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | (40) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.10 | | | | | | ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 266.86/37.10 | | | | | | c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | BETA: splitting (40) gives:
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | | Case 1:
% 266.86/37.10 | | | | | | |
% 266.86/37.10 | | | | | | | (41) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.10 | | | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.10 | | | | | | |
% 266.86/37.10 | | | | | | | GROUND_INST: instantiating (41) with a1032, simplifying with (8),
% 266.86/37.10 | | | | | | | (12), (14), (15) gives:
% 266.86/37.10 | | | | | | | (42) c1_1(a1032)
% 266.86/37.10 | | | | | | |
% 266.86/37.10 | | | | | | | GROUND_INST: instantiating (37) with a1032, simplifying with (7),
% 266.86/37.10 | | | | | | | (8), (14), (15), (42) gives:
% 266.86/37.10 | | | | | | | (43) $false
% 266.86/37.10 | | | | | | |
% 266.86/37.10 | | | | | | | CLOSE: (43) is inconsistent.
% 266.86/37.10 | | | | | | |
% 266.86/37.10 | | | | | | Case 2:
% 266.86/37.10 | | | | | | |
% 266.86/37.10 | | | | | | | (44) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.10 | | | | | | | ndr1_0 | c2_1(v0))
% 266.86/37.10 | | | | | | |
% 266.86/37.10 | | | | | | | GROUND_INST: instantiating (44) with a1006, simplifying with (2),
% 266.86/37.10 | | | | | | | (4), (15), (17), (18) gives:
% 266.86/37.10 | | | | | | | (45) $false
% 266.86/37.10 | | | | | | |
% 266.86/37.10 | | | | | | | CLOSE: (45) is inconsistent.
% 266.86/37.10 | | | | | | |
% 266.86/37.10 | | | | | | End of split
% 266.86/37.10 | | | | | |
% 266.86/37.10 | | | | | End of split
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | Case 2:
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | (46) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.10 | | | | | ndr1_0 | c0_1(v0))
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | GROUND_INST: instantiating (46) with a1032, simplifying with (7), (8),
% 266.86/37.10 | | | | | (12), (14), (15) gives:
% 266.86/37.10 | | | | | (47) $false
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | | CLOSE: (47) is inconsistent.
% 266.86/37.10 | | | | |
% 266.86/37.10 | | | | End of split
% 266.86/37.10 | | | |
% 266.86/37.10 | | | End of split
% 266.86/37.10 | | |
% 266.86/37.10 | | End of split
% 266.86/37.10 | |
% 266.86/37.10 | End of split
% 266.86/37.10 |
% 266.86/37.10 End of proof
% 266.86/37.10
% 266.86/37.10 Sub-proof #50 shows that the following formulas are inconsistent:
% 266.86/37.10 ----------------------------------------------------------------
% 266.86/37.10 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.10 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.10 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.10 c1_1(v0) | c3_1(v0))
% 266.86/37.10 (2) $i(a1045)
% 266.86/37.10 (3) ~ c2_1(a1003)
% 266.86/37.10 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.10 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.10 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.10 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.86/37.10 (5) ~ c0_1(a1032)
% 266.86/37.10 (6) $i(a1032)
% 266.86/37.10 (7) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.86/37.10 (8) $i(a1003)
% 266.86/37.10 (9) ~ c3_1(a1008)
% 266.86/37.10 (10) $i(a1008)
% 266.86/37.10 (11) c2_1(a1032)
% 266.86/37.10 (12) ~ c0_1(a1003)
% 266.86/37.10 (13) c3_1(a1003)
% 266.86/37.10 (14) c3_1(a1032)
% 266.86/37.10 (15) ~ c1_1(a1008)
% 266.86/37.10 (16) c2_1(a1008)
% 266.86/37.10
% 266.86/37.10 Begin of proof
% 266.86/37.10 |
% 266.86/37.10 | ALPHA: (7) implies:
% 266.86/37.10 | (17) ~ c0_1(a1045)
% 266.86/37.10 | (18) ndr1_0
% 266.86/37.10 | (19) c3_1(a1045)
% 266.86/37.10 | (20) c1_1(a1045)
% 266.86/37.10 |
% 266.86/37.10 | BETA: splitting (4) gives:
% 266.86/37.10 |
% 266.86/37.10 | Case 1:
% 266.86/37.10 | |
% 266.86/37.10 | | (21) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.86/37.10 | | ~ ndr1_0)
% 266.86/37.10 | |
% 266.86/37.10 | | REF_CLOSE: (1), (3), (5), (6), (8), (9), (10), (11), (12), (13), (14), (15),
% 266.86/37.10 | | (16), (18), (21) are inconsistent by sub-proof #59.
% 266.86/37.10 | |
% 266.86/37.10 | Case 2:
% 266.86/37.10 | |
% 266.86/37.10 | | (22) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.10 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.86/37.10 | | ~ ndr1_0 | c0_1(v0))
% 266.86/37.10 | |
% 266.86/37.10 | | REF_CLOSE: (2), (5), (6), (11), (14), (17), (18), (19), (20), (22) are
% 266.86/37.10 | | inconsistent by sub-proof #58.
% 266.86/37.10 | |
% 266.86/37.10 | End of split
% 266.86/37.10 |
% 266.86/37.10 End of proof
% 266.86/37.10
% 266.86/37.10 Sub-proof #51 shows that the following formulas are inconsistent:
% 266.86/37.10 ----------------------------------------------------------------
% 266.86/37.10 (1) $i(a1026)
% 266.86/37.10 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.10 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.10 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.86/37.10 | c1_1(v0) | c0_1(v0))
% 266.86/37.10 (3) $i(a1011)
% 266.86/37.10 (4) ~ c1_1(a1002)
% 266.86/37.10 (5) c2_1(a1002)
% 266.86/37.10 (6) c0_1(a1011)
% 266.86/37.10 (7) ~ c3_1(a1008)
% 266.86/37.10 (8) $i(a1008)
% 266.86/37.10 (9) ~ c1_1(a1008)
% 266.86/37.10 (10) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.10 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.10 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.10 (11) $i(a1002)
% 266.86/37.10 (12) c2_1(a1008)
% 266.86/37.10 (13) ndr1_0
% 266.86/37.10 (14) $i(a1044)
% 266.86/37.10 (15) ~ hskp17
% 266.86/37.11 (16) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.11 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.11 ndr1_0 | c3_1(v0))
% 266.86/37.11 (17) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.11 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.11 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.11 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.11 (18) ~ c3_1(a1044)
% 266.86/37.11 (19) c0_1(a1002)
% 266.86/37.11 (20) ~ hskp15 | (c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026))
% 266.86/37.11 (21) c1_1(a1011)
% 266.86/37.11 (22) c1_1(a1044)
% 266.86/37.11 (23) c0_1(a1044)
% 266.86/37.11 (24) ~ c2_1(a1011)
% 266.86/37.11
% 266.86/37.11 Begin of proof
% 266.86/37.11 |
% 266.86/37.11 | BETA: splitting (20) gives:
% 266.86/37.11 |
% 266.86/37.11 | Case 1:
% 266.86/37.11 | |
% 266.86/37.11 | | (25) ~ hskp15
% 266.86/37.11 | |
% 266.86/37.11 | | BETA: splitting (16) gives:
% 266.86/37.11 | |
% 266.86/37.11 | | Case 1:
% 266.86/37.11 | | |
% 266.86/37.11 | | | (26) hskp15
% 266.86/37.11 | | |
% 266.86/37.11 | | | PRED_UNIFY: (25), (26) imply:
% 266.86/37.11 | | | (27) $false
% 266.86/37.11 | | |
% 266.86/37.11 | | | CLOSE: (27) is inconsistent.
% 266.86/37.11 | | |
% 266.86/37.11 | | Case 2:
% 266.86/37.11 | | |
% 266.86/37.11 | | | (28) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.11 | | | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0)
% 266.86/37.11 | | | | ~ ndr1_0 | c3_1(v0))
% 266.86/37.11 | | |
% 266.86/37.11 | | | BETA: splitting (10) gives:
% 266.86/37.11 | | |
% 266.86/37.11 | | | Case 1:
% 266.86/37.11 | | | |
% 266.86/37.11 | | | | (29) hskp17
% 266.86/37.11 | | | |
% 266.86/37.11 | | | | PRED_UNIFY: (15), (29) imply:
% 266.86/37.11 | | | | (30) $false
% 266.86/37.11 | | | |
% 266.86/37.11 | | | | CLOSE: (30) is inconsistent.
% 266.86/37.11 | | | |
% 266.86/37.11 | | | Case 2:
% 266.86/37.11 | | | |
% 266.86/37.11 | | | | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.11 | | | | c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0)
% 266.86/37.11 | | | | | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.11 | | | |
% 266.86/37.11 | | | | BETA: splitting (17) gives:
% 266.86/37.11 | | | |
% 266.86/37.11 | | | | Case 1:
% 266.86/37.11 | | | | |
% 266.86/37.11 | | | | | (32) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.11 | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.11 | | | | |
% 266.86/37.11 | | | | | GROUND_INST: instantiating (32) with a1002, simplifying with (4), (5),
% 266.86/37.11 | | | | | (11), (13), (19) gives:
% 266.86/37.11 | | | | | (33) $false
% 266.86/37.11 | | | | |
% 266.86/37.11 | | | | | CLOSE: (33) is inconsistent.
% 266.86/37.11 | | | | |
% 266.86/37.11 | | | | Case 2:
% 266.86/37.11 | | | | |
% 266.86/37.11 | | | | | (34) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.86/37.11 | | | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.11 | | | | | ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.11 | | | | |
% 266.86/37.11 | | | | | BETA: splitting (34) gives:
% 266.86/37.11 | | | | |
% 266.86/37.11 | | | | | Case 1:
% 266.86/37.11 | | | | | |
% 266.86/37.11 | | | | | | (35) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.11 | | | | | | c3_1(v0) | c0_1(v0))
% 266.86/37.11 | | | | | |
% 266.86/37.11 | | | | | | GROUND_INST: instantiating (35) with a1008, simplifying with (7),
% 266.86/37.11 | | | | | | (8), (12), (13) gives:
% 266.86/37.11 | | | | | | (36) c0_1(a1008)
% 266.86/37.11 | | | | | |
% 266.86/37.11 | | | | | | REF_CLOSE: (7), (8), (10), (12), (13), (14), (15), (18), (22), (23),
% 266.86/37.11 | | | | | | (28), (36) are inconsistent by sub-proof #63.
% 266.86/37.11 | | | | | |
% 266.86/37.11 | | | | | Case 2:
% 266.86/37.11 | | | | | |
% 266.86/37.11 | | | | | | (37) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.11 | | | | | | c3_1(v0) | c2_1(v0))
% 266.86/37.11 | | | | | |
% 266.86/37.11 | | | | | | GROUND_INST: instantiating (37) with a1044, simplifying with (13),
% 266.86/37.11 | | | | | | (14), (18), (23) gives:
% 266.86/37.11 | | | | | | (38) c2_1(a1044)
% 266.86/37.11 | | | | | |
% 266.86/37.11 | | | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13),
% 266.86/37.11 | | | | | | (14), (19), (21), (22), (23), (24), (31), (38) are
% 266.86/37.11 | | | | | | inconsistent by sub-proof #143.
% 266.86/37.11 | | | | | |
% 266.86/37.11 | | | | | End of split
% 266.86/37.11 | | | | |
% 266.86/37.11 | | | | End of split
% 266.86/37.11 | | | |
% 266.86/37.11 | | | End of split
% 266.86/37.11 | | |
% 266.86/37.11 | | End of split
% 266.86/37.11 | |
% 266.86/37.11 | Case 2:
% 266.86/37.11 | |
% 266.86/37.11 | | (39) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.86/37.11 | |
% 266.86/37.11 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (11), (19), (21), (24), (39) are
% 266.86/37.11 | | inconsistent by sub-proof #52.
% 266.86/37.11 | |
% 266.86/37.11 | End of split
% 266.86/37.11 |
% 266.86/37.11 End of proof
% 266.86/37.11
% 266.86/37.11 Sub-proof #52 shows that the following formulas are inconsistent:
% 266.86/37.11 ----------------------------------------------------------------
% 266.86/37.11 (1) $i(a1026)
% 266.86/37.11 (2) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.86/37.11 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.11 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.11 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.86/37.11 | c1_1(v0) | c0_1(v0))
% 266.86/37.11 (4) $i(a1011)
% 266.86/37.11 (5) ~ c1_1(a1002)
% 266.86/37.11 (6) c2_1(a1002)
% 266.86/37.11 (7) c0_1(a1011)
% 266.86/37.11 (8) $i(a1002)
% 266.86/37.11 (9) c0_1(a1002)
% 266.86/37.11 (10) c1_1(a1011)
% 266.86/37.11 (11) ~ c2_1(a1011)
% 266.86/37.11
% 266.86/37.11 Begin of proof
% 266.86/37.11 |
% 266.86/37.11 | ALPHA: (2) implies:
% 266.86/37.11 | (12) ~ c0_1(a1026)
% 266.86/37.11 | (13) ~ c1_1(a1026)
% 266.86/37.11 | (14) ndr1_0
% 266.86/37.11 | (15) c2_1(a1026)
% 266.86/37.11 |
% 266.86/37.11 | BETA: splitting (3) gives:
% 266.86/37.11 |
% 266.86/37.11 | Case 1:
% 266.86/37.11 | |
% 266.86/37.11 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.11 | | c2_1(v0))
% 266.86/37.11 | |
% 266.86/37.11 | | GROUND_INST: instantiating (16) with a1011, simplifying with (4), (7), (10),
% 266.86/37.11 | | (11), (14) gives:
% 266.86/37.11 | | (17) $false
% 266.86/37.11 | |
% 266.86/37.11 | | CLOSE: (17) is inconsistent.
% 266.86/37.11 | |
% 266.86/37.11 | Case 2:
% 266.86/37.11 | |
% 266.86/37.11 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.11 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.11 | | c1_1(v0) | c0_1(v0))
% 266.86/37.11 | |
% 266.86/37.11 | | BETA: splitting (18) gives:
% 266.86/37.11 | |
% 266.86/37.11 | | Case 1:
% 266.86/37.11 | | |
% 266.86/37.11 | | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.11 | | | c1_1(v0))
% 266.86/37.11 | | |
% 266.86/37.11 | | | GROUND_INST: instantiating (19) with a1002, simplifying with (5), (6),
% 266.86/37.11 | | | (8), (9), (14) gives:
% 266.86/37.11 | | | (20) $false
% 266.86/37.11 | | |
% 266.86/37.11 | | | CLOSE: (20) is inconsistent.
% 266.86/37.11 | | |
% 266.86/37.11 | | Case 2:
% 266.86/37.11 | | |
% 266.86/37.11 | | | (21) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.11 | | | c0_1(v0))
% 266.86/37.11 | | |
% 266.86/37.11 | | | GROUND_INST: instantiating (21) with a1026, simplifying with (1), (12),
% 266.86/37.11 | | | (13), (14), (15) gives:
% 266.86/37.11 | | | (22) $false
% 266.86/37.11 | | |
% 266.86/37.11 | | | CLOSE: (22) is inconsistent.
% 266.86/37.11 | | |
% 266.86/37.11 | | End of split
% 266.86/37.11 | |
% 266.86/37.11 | End of split
% 266.86/37.11 |
% 266.86/37.11 End of proof
% 266.86/37.11
% 266.86/37.11 Sub-proof #53 shows that the following formulas are inconsistent:
% 266.86/37.11 ----------------------------------------------------------------
% 266.86/37.11 (1) c1_1(a1003)
% 266.86/37.11 (2) $i(a1010)
% 266.86/37.11 (3) ~ c2_1(a1003)
% 266.86/37.11 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.11 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.11 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.11 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.86/37.11 (5) $i(a1019)
% 266.86/37.11 (6) ~ c1_1(a1010)
% 266.86/37.11 (7) hskp0 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.86/37.11 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.11 c2_1(v0) | c0_1(v0))
% 266.86/37.11 (8) $i(a1003)
% 266.86/37.11 (9) c3_1(a1010)
% 266.86/37.11 (10) ~ c0_1(a1003)
% 266.86/37.11 (11) c0_1(a1010)
% 266.86/37.11 (12) ndr1_0
% 266.86/37.11 (13) $i(a1000)
% 266.86/37.11 (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.11 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.11 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.11 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.11 (15) c2_1(a1019)
% 266.86/37.11 (16) c1_1(a1019)
% 266.86/37.11 (17) ~ c0_1(a1019)
% 266.86/37.11 (18) ~ hskp0 | (c2_1(a1000) & c0_1(a1000) & ndr1_0 & ~ c3_1(a1000))
% 266.86/37.11
% 266.86/37.11 Begin of proof
% 266.86/37.11 |
% 266.86/37.11 | BETA: splitting (18) gives:
% 266.86/37.11 |
% 266.86/37.11 | Case 1:
% 266.86/37.11 | |
% 266.86/37.11 | | (19) ~ hskp0
% 266.86/37.11 | |
% 266.86/37.11 | | BETA: splitting (7) gives:
% 266.86/37.11 | |
% 266.86/37.11 | | Case 1:
% 266.86/37.11 | | |
% 266.86/37.11 | | | (20) hskp0
% 266.86/37.11 | | |
% 266.86/37.11 | | | PRED_UNIFY: (19), (20) imply:
% 266.86/37.11 | | | (21) $false
% 266.86/37.11 | | |
% 266.86/37.11 | | | CLOSE: (21) is inconsistent.
% 266.86/37.11 | | |
% 266.86/37.11 | | Case 2:
% 266.86/37.11 | | |
% 266.86/37.11 | | | (22) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.11 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.11 | | | c2_1(v0) | c0_1(v0))
% 266.86/37.11 | | |
% 266.86/37.11 | | | BETA: splitting (22) gives:
% 266.86/37.11 | | |
% 266.86/37.11 | | | Case 1:
% 266.86/37.11 | | | |
% 266.86/37.11 | | | | (23) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.86/37.12 | | | | | c0_1(v0))
% 266.86/37.12 | | | |
% 266.86/37.12 | | | | GROUND_INST: instantiating (23) with a1019, simplifying with (5), (12),
% 266.86/37.12 | | | | (15), (16), (17) gives:
% 266.86/37.12 | | | | (24) $false
% 266.86/37.12 | | | |
% 266.86/37.12 | | | | CLOSE: (24) is inconsistent.
% 266.86/37.12 | | | |
% 266.86/37.12 | | | Case 2:
% 266.86/37.12 | | | |
% 266.86/37.12 | | | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.12 | | | | c0_1(v0))
% 266.86/37.12 | | | |
% 266.86/37.12 | | | | GROUND_INST: instantiating (25) with a1003, simplifying with (1), (3),
% 266.86/37.12 | | | | (8), (10), (12) gives:
% 266.86/37.12 | | | | (26) $false
% 266.86/37.12 | | | |
% 266.86/37.12 | | | | CLOSE: (26) is inconsistent.
% 266.86/37.12 | | | |
% 266.86/37.12 | | | End of split
% 266.86/37.12 | | |
% 266.86/37.12 | | End of split
% 266.86/37.12 | |
% 266.86/37.12 | Case 2:
% 266.86/37.12 | |
% 266.86/37.12 | | (27) c2_1(a1000) & c0_1(a1000) & ndr1_0 & ~ c3_1(a1000)
% 266.86/37.12 | |
% 266.86/37.12 | | ALPHA: (27) implies:
% 266.86/37.12 | | (28) ~ c3_1(a1000)
% 266.86/37.12 | | (29) c0_1(a1000)
% 266.86/37.12 | | (30) c2_1(a1000)
% 266.86/37.12 | |
% 266.86/37.12 | | BETA: splitting (14) gives:
% 266.86/37.12 | |
% 266.86/37.12 | | Case 1:
% 266.86/37.12 | | |
% 266.86/37.12 | | | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.12 | | | c0_1(v0))
% 266.86/37.12 | | |
% 266.86/37.12 | | | GROUND_INST: instantiating (31) with a1019, simplifying with (5), (12),
% 266.86/37.12 | | | (16), (17) gives:
% 266.86/37.12 | | | (32) c3_1(a1019)
% 266.86/37.12 | | |
% 266.86/37.12 | | | REF_CLOSE: (4), (5), (12), (15), (16), (17), (32) are inconsistent by
% 266.86/37.12 | | | sub-proof #141.
% 266.86/37.12 | | |
% 266.86/37.12 | | Case 2:
% 266.86/37.12 | | |
% 266.86/37.12 | | | (33) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.12 | | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0)
% 266.86/37.12 | | | | ~ ndr1_0 | c3_1(v0))
% 266.86/37.12 | | |
% 266.86/37.12 | | | BETA: splitting (33) gives:
% 266.86/37.12 | | |
% 266.86/37.12 | | | Case 1:
% 266.86/37.12 | | | |
% 266.86/37.12 | | | | (34) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.12 | | | | | c1_1(v0))
% 266.86/37.12 | | | |
% 266.86/37.12 | | | | GROUND_INST: instantiating (34) with a1010, simplifying with (2), (6),
% 266.86/37.12 | | | | (9), (11), (12) gives:
% 266.86/37.12 | | | | (35) $false
% 266.86/37.12 | | | |
% 266.86/37.12 | | | | CLOSE: (35) is inconsistent.
% 266.86/37.12 | | | |
% 266.86/37.12 | | | Case 2:
% 266.86/37.12 | | | |
% 266.86/37.12 | | | | (36) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.12 | | | | | c3_1(v0))
% 266.86/37.12 | | | |
% 266.86/37.12 | | | | GROUND_INST: instantiating (36) with a1000, simplifying with (12), (13),
% 266.86/37.12 | | | | (28), (29), (30) gives:
% 266.86/37.12 | | | | (37) $false
% 266.86/37.12 | | | |
% 266.86/37.12 | | | | CLOSE: (37) is inconsistent.
% 266.86/37.12 | | | |
% 266.86/37.13 | | | End of split
% 266.86/37.13 | | |
% 266.86/37.13 | | End of split
% 266.86/37.13 | |
% 266.86/37.13 | End of split
% 266.86/37.13 |
% 266.86/37.13 End of proof
% 266.86/37.13
% 266.86/37.13 Sub-proof #54 shows that the following formulas are inconsistent:
% 266.86/37.13 ----------------------------------------------------------------
% 266.86/37.13 (1) $i(a1026)
% 266.86/37.13 (2) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.86/37.13 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.13 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.13 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.86/37.13 | c1_1(v0) | c0_1(v0))
% 266.86/37.13 (4) $i(a1011)
% 266.86/37.13 (5) c0_1(a1011)
% 266.86/37.13 (6) ~ c3_1(a1008)
% 266.86/37.13 (7) $i(a1008)
% 266.86/37.13 (8) ~ c1_1(a1008)
% 266.86/37.13 (9) ~ hskp1
% 266.86/37.13 (10) hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.13 c0_1(v0))
% 266.86/37.13 (11) c2_1(a1008)
% 266.86/37.13 (12) c1_1(a1011)
% 266.86/37.13 (13) ~ c2_1(a1011)
% 266.86/37.13
% 266.86/37.13 Begin of proof
% 266.86/37.13 |
% 266.86/37.13 | ALPHA: (2) implies:
% 266.86/37.13 | (14) ~ c0_1(a1026)
% 266.86/37.13 | (15) ~ c1_1(a1026)
% 266.86/37.13 | (16) ndr1_0
% 266.86/37.13 | (17) c2_1(a1026)
% 266.86/37.13 |
% 266.86/37.13 | BETA: splitting (10) gives:
% 266.86/37.13 |
% 266.86/37.13 | Case 1:
% 266.86/37.13 | |
% 266.86/37.13 | | (18) hskp1
% 266.86/37.13 | |
% 266.86/37.13 | | PRED_UNIFY: (9), (18) imply:
% 266.86/37.13 | | (19) $false
% 266.86/37.13 | |
% 266.86/37.13 | | CLOSE: (19) is inconsistent.
% 266.86/37.13 | |
% 266.86/37.13 | Case 2:
% 266.86/37.13 | |
% 266.86/37.13 | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.13 | | c0_1(v0))
% 266.86/37.13 | |
% 266.86/37.13 | | GROUND_INST: instantiating (20) with a1008, simplifying with (6), (7), (11),
% 266.86/37.13 | | (16) gives:
% 266.86/37.13 | | (21) c0_1(a1008)
% 266.86/37.13 | |
% 266.86/37.13 | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (11), (12), (13), (14), (15), (16),
% 266.86/37.13 | | (17), (21) are inconsistent by sub-proof #55.
% 266.86/37.13 | |
% 266.86/37.13 | End of split
% 266.86/37.13 |
% 266.86/37.13 End of proof
% 266.86/37.13
% 266.86/37.13 Sub-proof #55 shows that the following formulas are inconsistent:
% 266.86/37.13 ----------------------------------------------------------------
% 266.86/37.13 (1) $i(a1026)
% 266.86/37.13 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.13 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.13 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.86/37.13 | c1_1(v0) | c0_1(v0))
% 266.86/37.13 (3) $i(a1011)
% 266.86/37.13 (4) c2_1(a1026)
% 266.86/37.13 (5) c0_1(a1011)
% 266.86/37.13 (6) $i(a1008)
% 266.86/37.13 (7) ~ c0_1(a1026)
% 266.86/37.13 (8) ~ c1_1(a1008)
% 266.86/37.13 (9) c0_1(a1008)
% 266.86/37.13 (10) c2_1(a1008)
% 266.86/37.13 (11) ndr1_0
% 266.86/37.13 (12) ~ c1_1(a1026)
% 266.86/37.13 (13) c1_1(a1011)
% 266.86/37.13 (14) ~ c2_1(a1011)
% 266.86/37.13
% 266.86/37.13 Begin of proof
% 266.86/37.13 |
% 266.86/37.13 | BETA: splitting (2) gives:
% 266.86/37.13 |
% 266.86/37.13 | Case 1:
% 266.86/37.13 | |
% 266.86/37.13 | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.13 | | c2_1(v0))
% 266.86/37.13 | |
% 266.86/37.13 | | GROUND_INST: instantiating (15) with a1011, simplifying with (3), (5), (11),
% 266.86/37.13 | | (13), (14) gives:
% 266.86/37.13 | | (16) $false
% 266.86/37.13 | |
% 266.86/37.13 | | CLOSE: (16) is inconsistent.
% 266.86/37.13 | |
% 266.86/37.13 | Case 2:
% 266.86/37.13 | |
% 266.86/37.13 | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.13 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.13 | | c1_1(v0) | c0_1(v0))
% 266.86/37.13 | |
% 266.86/37.13 | | BETA: splitting (17) gives:
% 266.86/37.13 | |
% 266.86/37.13 | | Case 1:
% 266.86/37.13 | | |
% 266.86/37.13 | | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.13 | | | c1_1(v0))
% 266.86/37.13 | | |
% 266.86/37.13 | | | GROUND_INST: instantiating (18) with a1008, simplifying with (6), (8),
% 266.86/37.13 | | | (9), (10), (11) gives:
% 266.86/37.13 | | | (19) $false
% 266.86/37.13 | | |
% 266.86/37.13 | | | CLOSE: (19) is inconsistent.
% 266.86/37.13 | | |
% 266.86/37.13 | | Case 2:
% 266.86/37.13 | | |
% 266.86/37.13 | | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.13 | | | c0_1(v0))
% 266.86/37.13 | | |
% 266.86/37.13 | | | GROUND_INST: instantiating (20) with a1026, simplifying with (1), (4),
% 266.86/37.13 | | | (7), (11), (12) gives:
% 266.86/37.13 | | | (21) $false
% 266.86/37.13 | | |
% 266.86/37.13 | | | CLOSE: (21) is inconsistent.
% 266.86/37.13 | | |
% 266.86/37.13 | | End of split
% 266.86/37.13 | |
% 266.86/37.13 | End of split
% 266.86/37.13 |
% 266.86/37.13 End of proof
% 266.86/37.13
% 266.86/37.13 Sub-proof #56 shows that the following formulas are inconsistent:
% 266.86/37.13 ----------------------------------------------------------------
% 266.86/37.13 (1) $i(a1026)
% 266.86/37.13 (2) c1_1(a1003)
% 266.86/37.13 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.13 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.13 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.13 c1_1(v0) | c3_1(v0))
% 266.86/37.13 (4) $i(a1010)
% 266.86/37.13 (5) $i(a1045)
% 266.86/37.13 (6) ~ c2_1(a1003)
% 266.86/37.13 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.13 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.13 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.13 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.86/37.13 (8) ~ hskp17 | (c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~ c0_1(a1032))
% 266.86/37.13 (9) $i(a1032)
% 266.86/37.13 (10) ~ c1_1(a1010)
% 266.86/37.13 (11) ~ hskp9
% 266.86/37.13 (12) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.13 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.13 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.13 ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.13 (13) hskp24 | hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.13 ~ ndr1_0 | c1_1(v0))
% 266.86/37.13 (14) $i(a1003)
% 266.86/37.13 (15) c3_1(a1010)
% 266.86/37.13 (16) ~ c3_1(a1008)
% 266.86/37.13 (17) $i(a1008)
% 266.86/37.13 (18) ~ c0_1(a1003)
% 266.86/37.13 (19) c0_1(a1010)
% 266.86/37.13 (20) ~ c1_1(a1008)
% 266.86/37.13 (21) c0_1(a1008)
% 266.86/37.13 (22) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.13 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.13 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.13 (23) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.13 c0_1(v0) | ~ ndr1_0)
% 266.86/37.13 (24) c2_1(a1008)
% 266.86/37.13 (25) ndr1_0
% 266.86/37.13 (26) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.86/37.13 (27) $i(a1044)
% 266.86/37.13 (28) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.13 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.13 ndr1_0 | c3_1(v0))
% 266.86/37.13 (29) ~ c3_1(a1044)
% 266.86/37.13 (30) ~ hskp15 | (c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026))
% 266.86/37.13 (31) c1_1(a1044)
% 266.86/37.13 (32) c0_1(a1044)
% 266.86/37.13 (33) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.13 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.13 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.13 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.13 (34) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.13 c0_1(v0))
% 266.86/37.13
% 266.86/37.13 Begin of proof
% 266.86/37.13 |
% 266.86/37.13 | BETA: splitting (8) gives:
% 266.86/37.13 |
% 266.86/37.13 | Case 1:
% 266.86/37.13 | |
% 266.86/37.13 | | (35) ~ hskp17
% 266.86/37.13 | |
% 266.86/37.13 | | BETA: splitting (30) gives:
% 266.86/37.13 | |
% 266.86/37.13 | | Case 1:
% 266.86/37.13 | | |
% 266.86/37.13 | | | (36) ~ hskp15
% 266.86/37.13 | | |
% 266.86/37.13 | | | REF_CLOSE: (16), (17), (21), (22), (24), (25), (27), (28), (29), (31),
% 266.86/37.13 | | | (32), (35), (36) are inconsistent by sub-proof #62.
% 266.86/37.13 | | |
% 266.86/37.13 | | Case 2:
% 266.86/37.13 | | |
% 266.86/37.13 | | | (37) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.86/37.13 | | |
% 266.86/37.13 | | | ALPHA: (37) implies:
% 266.86/37.13 | | | (38) ~ c0_1(a1026)
% 266.86/37.13 | | | (39) ~ c1_1(a1026)
% 266.86/37.13 | | | (40) c2_1(a1026)
% 266.86/37.13 | | |
% 266.86/37.13 | | | REF_CLOSE: (1), (11), (12), (16), (17), (20), (23), (24), (25), (27),
% 266.86/37.13 | | | (31), (32), (34), (38), (39), (40) are inconsistent by
% 266.86/37.13 | | | sub-proof #61.
% 266.86/37.13 | | |
% 266.86/37.13 | | End of split
% 266.86/37.13 | |
% 266.86/37.13 | Case 2:
% 266.86/37.13 | |
% 266.86/37.13 | | (41) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~ c0_1(a1032)
% 266.86/37.13 | |
% 266.86/37.13 | | ALPHA: (41) implies:
% 266.86/37.13 | | (42) ~ c0_1(a1032)
% 266.86/37.13 | | (43) c2_1(a1032)
% 266.86/37.13 | | (44) c3_1(a1032)
% 266.86/37.13 | |
% 266.86/37.13 | | BETA: splitting (30) gives:
% 266.86/37.13 | |
% 266.86/37.13 | | Case 1:
% 266.86/37.13 | | |
% 266.86/37.13 | | | (45) ~ hskp15
% 266.86/37.13 | | |
% 266.86/37.13 | | | BETA: splitting (26) gives:
% 266.86/37.13 | | |
% 266.86/37.14 | | | Case 1:
% 266.86/37.14 | | | |
% 266.86/37.14 | | | | (46) ~ hskp24
% 266.86/37.14 | | | |
% 266.86/37.14 | | | | REF_CLOSE: (4), (10), (13), (15), (19), (25), (45), (46) are
% 266.86/37.14 | | | | inconsistent by sub-proof #84.
% 266.86/37.14 | | | |
% 266.86/37.14 | | | Case 2:
% 266.86/37.14 | | | |
% 266.86/37.14 | | | | (47) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.86/37.14 | | | |
% 266.86/37.14 | | | | ALPHA: (47) implies:
% 266.86/37.14 | | | | (48) ~ c0_1(a1045)
% 266.86/37.14 | | | | (49) c3_1(a1045)
% 266.86/37.14 | | | | (50) c1_1(a1045)
% 266.86/37.14 | | | |
% 266.86/37.14 | | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (10), (14), (15), (16),
% 266.86/37.14 | | | | (17), (18), (19), (20), (21), (24), (25), (33), (42), (43),
% 266.86/37.14 | | | | (44), (48), (49), (50) are inconsistent by sub-proof #57.
% 266.86/37.14 | | | |
% 266.86/37.14 | | | End of split
% 266.86/37.14 | | |
% 266.86/37.14 | | Case 2:
% 266.86/37.14 | | |
% 266.86/37.14 | | | (51) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.86/37.14 | | |
% 266.86/37.14 | | | ALPHA: (51) implies:
% 266.86/37.14 | | | (52) ~ c0_1(a1026)
% 266.86/37.14 | | | (53) ~ c1_1(a1026)
% 266.86/37.14 | | | (54) c2_1(a1026)
% 266.86/37.14 | | |
% 266.86/37.14 | | | REF_CLOSE: (1), (11), (12), (16), (17), (20), (23), (24), (25), (27),
% 266.86/37.14 | | | (31), (32), (34), (52), (53), (54) are inconsistent by
% 266.86/37.14 | | | sub-proof #61.
% 266.86/37.14 | | |
% 266.86/37.14 | | End of split
% 266.86/37.14 | |
% 266.86/37.14 | End of split
% 266.86/37.14 |
% 266.86/37.14 End of proof
% 266.86/37.14
% 266.86/37.14 Sub-proof #57 shows that the following formulas are inconsistent:
% 266.86/37.14 ----------------------------------------------------------------
% 266.86/37.14 (1) c1_1(a1003)
% 266.86/37.14 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.14 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.14 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.14 c1_1(v0) | c3_1(v0))
% 266.86/37.14 (3) $i(a1010)
% 266.86/37.14 (4) $i(a1045)
% 266.86/37.14 (5) ~ c2_1(a1003)
% 266.86/37.14 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.14 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.14 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.14 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.86/37.14 (7) ~ c0_1(a1032)
% 266.86/37.14 (8) $i(a1032)
% 266.86/37.14 (9) ~ c1_1(a1010)
% 266.86/37.14 (10) $i(a1003)
% 266.86/37.14 (11) c3_1(a1010)
% 266.86/37.14 (12) c1_1(a1045)
% 266.86/37.14 (13) ~ c3_1(a1008)
% 266.86/37.14 (14) $i(a1008)
% 266.86/37.14 (15) c2_1(a1032)
% 266.86/37.14 (16) ~ c0_1(a1003)
% 266.86/37.14 (17) c0_1(a1010)
% 266.86/37.14 (18) c3_1(a1032)
% 266.86/37.14 (19) c3_1(a1045)
% 266.86/37.14 (20) ~ c1_1(a1008)
% 266.86/37.14 (21) c0_1(a1008)
% 266.86/37.14 (22) c2_1(a1008)
% 266.86/37.14 (23) ndr1_0
% 266.86/37.14 (24) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.14 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.14 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.14 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.14 (25) ~ c0_1(a1045)
% 266.86/37.14
% 266.86/37.14 Begin of proof
% 266.86/37.14 |
% 266.86/37.14 | BETA: splitting (6) gives:
% 266.86/37.14 |
% 266.86/37.14 | Case 1:
% 266.86/37.14 | |
% 266.86/37.14 | | (26) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.86/37.14 | | ~ ndr1_0)
% 266.86/37.14 | |
% 266.86/37.14 | | BETA: splitting (24) gives:
% 266.86/37.14 | |
% 266.86/37.14 | | Case 1:
% 266.86/37.14 | | |
% 266.86/37.14 | | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.14 | | | c0_1(v0))
% 266.86/37.14 | | |
% 266.86/37.14 | | | GROUND_INST: instantiating (27) with a1003, simplifying with (1), (10),
% 266.86/37.14 | | | (16), (23) gives:
% 266.86/37.14 | | | (28) c3_1(a1003)
% 266.86/37.14 | | |
% 266.86/37.14 | | | REF_CLOSE: (2), (5), (7), (8), (10), (13), (14), (15), (16), (18), (20),
% 266.86/37.14 | | | (22), (23), (26), (28) are inconsistent by sub-proof #59.
% 266.86/37.14 | | |
% 266.86/37.14 | | Case 2:
% 266.86/37.14 | | |
% 266.86/37.14 | | | (29) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.14 | | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0)
% 266.86/37.14 | | | | ~ ndr1_0 | c3_1(v0))
% 266.86/37.14 | | |
% 266.86/37.14 | | | BETA: splitting (29) gives:
% 266.86/37.14 | | |
% 266.86/37.14 | | | Case 1:
% 266.86/37.14 | | | |
% 266.86/37.14 | | | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.14 | | | | | c1_1(v0))
% 266.86/37.14 | | | |
% 266.86/37.14 | | | | GROUND_INST: instantiating (30) with a1010, simplifying with (3), (9),
% 266.86/37.14 | | | | (11), (17), (23) gives:
% 266.86/37.14 | | | | (31) $false
% 266.86/37.14 | | | |
% 266.86/37.14 | | | | CLOSE: (31) is inconsistent.
% 266.86/37.14 | | | |
% 266.86/37.14 | | | Case 2:
% 266.86/37.14 | | | |
% 266.86/37.14 | | | | (32) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.14 | | | | | c3_1(v0))
% 266.86/37.14 | | | |
% 266.86/37.14 | | | | GROUND_INST: instantiating (32) with a1008, simplifying with (13), (14),
% 266.86/37.14 | | | | (21), (22), (23) gives:
% 266.86/37.14 | | | | (33) $false
% 266.86/37.14 | | | |
% 266.86/37.14 | | | | CLOSE: (33) is inconsistent.
% 266.86/37.14 | | | |
% 266.86/37.14 | | | End of split
% 266.86/37.14 | | |
% 266.86/37.14 | | End of split
% 266.86/37.14 | |
% 266.86/37.14 | Case 2:
% 266.86/37.14 | |
% 266.86/37.14 | | (34) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.14 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.86/37.14 | | ~ ndr1_0 | c0_1(v0))
% 266.86/37.14 | |
% 266.86/37.14 | | REF_CLOSE: (4), (7), (8), (12), (15), (18), (19), (23), (25), (34) are
% 266.86/37.14 | | inconsistent by sub-proof #58.
% 266.86/37.14 | |
% 266.86/37.14 | End of split
% 266.86/37.14 |
% 266.86/37.14 End of proof
% 266.86/37.14
% 266.86/37.14 Sub-proof #58 shows that the following formulas are inconsistent:
% 266.86/37.14 ----------------------------------------------------------------
% 266.86/37.14 (1) $i(a1045)
% 266.86/37.14 (2) ~ c0_1(a1032)
% 266.86/37.14 (3) $i(a1032)
% 266.86/37.14 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.14 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.14 ndr1_0 | c0_1(v0))
% 266.86/37.14 (5) c1_1(a1045)
% 266.86/37.14 (6) c2_1(a1032)
% 266.86/37.14 (7) c3_1(a1032)
% 266.86/37.14 (8) c3_1(a1045)
% 266.86/37.14 (9) ndr1_0
% 266.86/37.14 (10) ~ c0_1(a1045)
% 266.86/37.14
% 266.86/37.14 Begin of proof
% 266.86/37.14 |
% 266.86/37.14 | BETA: splitting (4) gives:
% 266.86/37.14 |
% 266.86/37.14 | Case 1:
% 266.86/37.14 | |
% 266.86/37.14 | | (11) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.14 | | c0_1(v0))
% 266.86/37.14 | |
% 266.86/37.14 | | GROUND_INST: instantiating (11) with a1045, simplifying with (1), (5), (8),
% 266.86/37.14 | | (9), (10) gives:
% 266.86/37.14 | | (12) $false
% 266.86/37.14 | |
% 266.86/37.14 | | CLOSE: (12) is inconsistent.
% 266.86/37.14 | |
% 266.86/37.14 | Case 2:
% 266.86/37.14 | |
% 266.86/37.14 | | (13) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.14 | | c0_1(v0))
% 266.86/37.14 | |
% 266.86/37.14 | | GROUND_INST: instantiating (13) with a1032, simplifying with (2), (3), (6),
% 266.86/37.14 | | (7), (9) gives:
% 266.86/37.14 | | (14) $false
% 266.86/37.14 | |
% 266.86/37.14 | | CLOSE: (14) is inconsistent.
% 266.86/37.14 | |
% 266.86/37.14 | End of split
% 266.86/37.14 |
% 266.86/37.14 End of proof
% 266.86/37.14
% 266.86/37.14 Sub-proof #59 shows that the following formulas are inconsistent:
% 266.86/37.14 ----------------------------------------------------------------
% 266.86/37.14 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.14 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.14 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.14 c1_1(v0) | c3_1(v0))
% 266.86/37.14 (2) ~ c2_1(a1003)
% 266.86/37.14 (3) ~ c0_1(a1032)
% 266.86/37.14 (4) $i(a1032)
% 266.86/37.14 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.14 ndr1_0)
% 266.86/37.14 (6) $i(a1003)
% 266.86/37.14 (7) ~ c3_1(a1008)
% 266.86/37.14 (8) $i(a1008)
% 266.86/37.14 (9) c2_1(a1032)
% 266.86/37.14 (10) ~ c0_1(a1003)
% 266.86/37.14 (11) c3_1(a1003)
% 266.86/37.14 (12) c3_1(a1032)
% 266.86/37.14 (13) ~ c1_1(a1008)
% 266.86/37.14 (14) c2_1(a1008)
% 266.86/37.14 (15) ndr1_0
% 266.86/37.14
% 266.86/37.14 Begin of proof
% 266.86/37.14 |
% 266.86/37.14 | BETA: splitting (1) gives:
% 266.86/37.14 |
% 266.86/37.14 | Case 1:
% 266.86/37.14 | |
% 266.86/37.14 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.14 | | c0_1(v0))
% 266.86/37.14 | |
% 266.86/37.14 | | GROUND_INST: instantiating (16) with a1032, simplifying with (3), (4), (12),
% 266.86/37.14 | | (15) gives:
% 266.86/37.14 | | (17) c1_1(a1032)
% 266.86/37.14 | |
% 266.86/37.14 | | GROUND_INST: instantiating (5) with a1032, simplifying with (4), (9), (12),
% 266.86/37.14 | | (15), (17) gives:
% 266.86/37.14 | | (18) $false
% 266.86/37.14 | |
% 266.86/37.14 | | CLOSE: (18) is inconsistent.
% 266.86/37.14 | |
% 266.86/37.14 | Case 2:
% 266.86/37.14 | |
% 266.86/37.14 | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.14 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.14 | | c1_1(v0) | c3_1(v0))
% 266.86/37.14 | |
% 266.86/37.14 | | REF_CLOSE: (2), (6), (7), (8), (10), (11), (13), (14), (15), (19) are
% 266.86/37.14 | | inconsistent by sub-proof #60.
% 266.86/37.14 | |
% 266.86/37.14 | End of split
% 266.86/37.14 |
% 266.86/37.14 End of proof
% 266.86/37.14
% 266.86/37.14 Sub-proof #60 shows that the following formulas are inconsistent:
% 266.86/37.14 ----------------------------------------------------------------
% 266.86/37.14 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) | c0_1(v0))
% 266.86/37.14 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.14 c3_1(v0))
% 266.86/37.14 (2) ~ c2_1(a1003)
% 266.86/37.14 (3) $i(a1003)
% 266.86/37.14 (4) ~ c3_1(a1008)
% 266.86/37.14 (5) $i(a1008)
% 266.86/37.14 (6) ~ c0_1(a1003)
% 266.86/37.14 (7) c3_1(a1003)
% 266.86/37.14 (8) ~ c1_1(a1008)
% 266.86/37.14 (9) c2_1(a1008)
% 266.86/37.14 (10) ndr1_0
% 266.86/37.14
% 266.86/37.14 Begin of proof
% 266.86/37.14 |
% 266.86/37.14 | BETA: splitting (1) gives:
% 266.86/37.14 |
% 266.86/37.14 | Case 1:
% 266.86/37.14 | |
% 266.86/37.14 | | (11) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.14 | | c0_1(v0))
% 266.86/37.14 | |
% 266.86/37.14 | | GROUND_INST: instantiating (11) with a1003, simplifying with (2), (3), (6),
% 266.86/37.14 | | (7), (10) gives:
% 266.86/37.14 | | (12) $false
% 266.86/37.14 | |
% 266.86/37.14 | | CLOSE: (12) is inconsistent.
% 266.86/37.14 | |
% 266.86/37.14 | Case 2:
% 266.86/37.14 | |
% 266.86/37.14 | | (13) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.14 | | c3_1(v0))
% 266.86/37.14 | |
% 266.86/37.14 | | GROUND_INST: instantiating (13) with a1008, simplifying with (4), (5), (8),
% 266.86/37.14 | | (9), (10) gives:
% 266.86/37.15 | | (14) $false
% 266.86/37.15 | |
% 266.86/37.15 | | CLOSE: (14) is inconsistent.
% 266.86/37.15 | |
% 266.86/37.15 | End of split
% 266.86/37.15 |
% 266.86/37.15 End of proof
% 266.86/37.15
% 266.86/37.15 Sub-proof #61 shows that the following formulas are inconsistent:
% 266.86/37.15 ----------------------------------------------------------------
% 266.86/37.15 (1) $i(a1026)
% 266.86/37.15 (2) ~ hskp9
% 266.86/37.15 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.15 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.15 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.86/37.15 | c1_1(v0) | c0_1(v0))
% 266.86/37.15 (4) c2_1(a1026)
% 266.86/37.15 (5) ~ c3_1(a1008)
% 266.86/37.15 (6) $i(a1008)
% 266.86/37.15 (7) ~ c0_1(a1026)
% 266.86/37.15 (8) ~ c1_1(a1008)
% 266.86/37.15 (9) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.15 c0_1(v0) | ~ ndr1_0)
% 266.86/37.15 (10) c2_1(a1008)
% 266.86/37.15 (11) ndr1_0
% 266.86/37.15 (12) ~ c1_1(a1026)
% 266.86/37.15 (13) $i(a1044)
% 266.86/37.15 (14) c1_1(a1044)
% 266.86/37.15 (15) c0_1(a1044)
% 266.86/37.15 (16) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.15 c0_1(v0))
% 266.86/37.15
% 266.86/37.15 Begin of proof
% 266.86/37.15 |
% 266.86/37.15 | GROUND_INST: instantiating (16) with a1008, simplifying with (5), (6), (10),
% 266.86/37.15 | (11) gives:
% 266.86/37.15 | (17) c0_1(a1008)
% 266.86/37.15 |
% 266.86/37.15 | BETA: splitting (3) gives:
% 266.86/37.15 |
% 266.86/37.15 | Case 1:
% 266.86/37.15 | |
% 266.86/37.15 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.15 | | c2_1(v0))
% 266.86/37.15 | |
% 266.86/37.15 | | GROUND_INST: instantiating (18) with a1044, simplifying with (11), (13),
% 266.86/37.15 | | (14), (15) gives:
% 266.86/37.15 | | (19) c2_1(a1044)
% 266.86/37.15 | |
% 266.86/37.15 | | REF_CLOSE: (2), (9), (11), (13), (14), (15), (19) are inconsistent by
% 266.86/37.15 | | sub-proof #151.
% 266.86/37.15 | |
% 266.86/37.15 | Case 2:
% 266.86/37.15 | |
% 266.86/37.15 | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.15 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.15 | | c1_1(v0) | c0_1(v0))
% 266.86/37.15 | |
% 266.86/37.15 | | BETA: splitting (20) gives:
% 266.86/37.15 | |
% 266.86/37.15 | | Case 1:
% 266.86/37.15 | | |
% 266.86/37.15 | | | (21) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.15 | | | c1_1(v0))
% 266.86/37.15 | | |
% 266.86/37.15 | | | GROUND_INST: instantiating (21) with a1008, simplifying with (6), (8),
% 266.86/37.15 | | | (10), (11), (17) gives:
% 266.86/37.15 | | | (22) $false
% 266.86/37.15 | | |
% 266.86/37.15 | | | CLOSE: (22) is inconsistent.
% 266.86/37.15 | | |
% 266.86/37.15 | | Case 2:
% 266.86/37.15 | | |
% 266.86/37.15 | | | (23) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.15 | | | c0_1(v0))
% 266.86/37.15 | | |
% 266.86/37.15 | | | GROUND_INST: instantiating (23) with a1026, simplifying with (1), (4),
% 266.86/37.15 | | | (7), (11), (12) gives:
% 266.86/37.15 | | | (24) $false
% 266.86/37.15 | | |
% 266.86/37.15 | | | CLOSE: (24) is inconsistent.
% 266.86/37.15 | | |
% 266.86/37.15 | | End of split
% 266.86/37.15 | |
% 266.86/37.15 | End of split
% 266.86/37.15 |
% 266.86/37.15 End of proof
% 266.86/37.15
% 266.86/37.15 Sub-proof #62 shows that the following formulas are inconsistent:
% 266.86/37.15 ----------------------------------------------------------------
% 266.86/37.15 (1) ~ hskp15
% 266.86/37.15 (2) ~ c3_1(a1008)
% 266.86/37.15 (3) $i(a1008)
% 266.86/37.15 (4) c0_1(a1008)
% 266.86/37.15 (5) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.15 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.15 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.15 (6) c2_1(a1008)
% 266.86/37.15 (7) ndr1_0
% 266.86/37.15 (8) $i(a1044)
% 266.86/37.15 (9) ~ hskp17
% 266.86/37.15 (10) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.15 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.15 ndr1_0 | c3_1(v0))
% 266.86/37.15 (11) ~ c3_1(a1044)
% 266.86/37.15 (12) c1_1(a1044)
% 266.86/37.15 (13) c0_1(a1044)
% 266.86/37.15
% 266.86/37.15 Begin of proof
% 266.86/37.15 |
% 266.86/37.15 | BETA: splitting (10) gives:
% 266.86/37.15 |
% 266.86/37.15 | Case 1:
% 266.86/37.15 | |
% 266.86/37.15 | | (14) hskp15
% 266.86/37.15 | |
% 266.86/37.15 | | PRED_UNIFY: (1), (14) imply:
% 266.86/37.15 | | (15) $false
% 266.86/37.15 | |
% 266.86/37.15 | | CLOSE: (15) is inconsistent.
% 266.86/37.15 | |
% 266.86/37.15 | Case 2:
% 266.86/37.15 | |
% 266.86/37.15 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.15 | | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 266.86/37.15 | | ~ ndr1_0 | c3_1(v0))
% 266.86/37.15 | |
% 266.86/37.15 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (13), (16)
% 266.86/37.15 | | are inconsistent by sub-proof #63.
% 266.86/37.15 | |
% 266.86/37.15 | End of split
% 266.86/37.15 |
% 266.86/37.15 End of proof
% 266.86/37.15
% 266.86/37.15 Sub-proof #63 shows that the following formulas are inconsistent:
% 266.86/37.15 ----------------------------------------------------------------
% 266.86/37.15 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.15 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.15 c3_1(v0))
% 266.86/37.15 (2) ~ c3_1(a1008)
% 266.86/37.15 (3) $i(a1008)
% 266.86/37.15 (4) c0_1(a1008)
% 266.86/37.15 (5) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.15 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.15 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.15 (6) c2_1(a1008)
% 266.86/37.15 (7) ndr1_0
% 266.86/37.15 (8) $i(a1044)
% 266.86/37.15 (9) ~ hskp17
% 266.86/37.15 (10) ~ c3_1(a1044)
% 266.86/37.15 (11) c1_1(a1044)
% 266.86/37.15 (12) c0_1(a1044)
% 266.86/37.15
% 266.86/37.15 Begin of proof
% 266.86/37.15 |
% 266.86/37.15 | BETA: splitting (1) gives:
% 266.86/37.15 |
% 266.86/37.15 | Case 1:
% 266.86/37.15 | |
% 266.86/37.15 | | (13) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.15 | | c2_1(v0))
% 266.86/37.15 | |
% 266.86/37.15 | | GROUND_INST: instantiating (13) with a1044, simplifying with (7), (8), (10),
% 266.86/37.15 | | (11) gives:
% 266.86/37.15 | | (14) c2_1(a1044)
% 266.86/37.15 | |
% 266.86/37.15 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (9), (11), (12), (14) are
% 266.86/37.15 | | inconsistent by sub-proof #144.
% 266.86/37.15 | |
% 266.86/37.15 | Case 2:
% 266.86/37.15 | |
% 266.86/37.15 | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.15 | | c3_1(v0))
% 266.86/37.15 | |
% 266.86/37.15 | | GROUND_INST: instantiating (15) with a1008, simplifying with (2), (3), (4),
% 266.86/37.15 | | (6), (7) gives:
% 266.86/37.15 | | (16) $false
% 266.86/37.15 | |
% 266.86/37.15 | | CLOSE: (16) is inconsistent.
% 266.86/37.15 | |
% 266.86/37.15 | End of split
% 266.86/37.15 |
% 266.86/37.15 End of proof
% 266.86/37.15
% 266.86/37.15 Sub-proof #64 shows that the following formulas are inconsistent:
% 266.86/37.15 ----------------------------------------------------------------
% 266.86/37.15 (1) hskp12 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 266.86/37.15 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.15 ndr1_0 | c2_1(v0))
% 266.86/37.15 (2) $i(a1004)
% 266.86/37.15 (3) ~ hskp7
% 266.86/37.15 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.15 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.15 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.15 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.86/37.15 (5) $i(a1019)
% 266.86/37.15 (6) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 266.86/37.15 (7) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.86/37.15 (8) $i(a1041)
% 266.86/37.15 (9) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.15 c0_1(v0) | ~ ndr1_0)
% 266.86/37.15 (10) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 266.86/37.15 (11) ~ hskp1
% 266.86/37.15 (12) hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.15 c0_1(v0))
% 266.86/37.15 (13) hskp21 | hskp7 | hskp4
% 266.86/37.15 (14) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.86/37.15 (15) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.15 c0_1(v0))
% 266.86/37.15
% 266.86/37.15 Begin of proof
% 266.86/37.15 |
% 266.86/37.15 | BETA: splitting (9) gives:
% 266.86/37.15 |
% 266.86/37.15 | Case 1:
% 266.86/37.15 | |
% 266.86/37.15 | | (16) hskp7
% 266.86/37.15 | |
% 266.86/37.15 | | PRED_UNIFY: (3), (16) imply:
% 266.86/37.15 | | (17) $false
% 266.86/37.15 | |
% 266.86/37.15 | | CLOSE: (17) is inconsistent.
% 266.86/37.15 | |
% 266.86/37.15 | Case 2:
% 266.86/37.15 | |
% 266.86/37.15 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 266.86/37.15 | | ~ ndr1_0)
% 266.86/37.15 | |
% 266.86/37.15 | | BETA: splitting (14) gives:
% 266.86/37.15 | |
% 266.86/37.15 | | Case 1:
% 266.86/37.15 | | |
% 266.86/37.15 | | | (19) ~ hskp12
% 266.86/37.15 | | |
% 266.86/37.15 | | | BETA: splitting (7) gives:
% 266.86/37.15 | | |
% 266.86/37.15 | | | Case 1:
% 266.86/37.15 | | | |
% 266.86/37.15 | | | | (20) ~ hskp4
% 266.86/37.15 | | | |
% 266.86/37.15 | | | | REF_CLOSE: (3), (8), (10), (13), (15), (20) are inconsistent by
% 266.86/37.15 | | | | sub-proof #110.
% 266.86/37.15 | | | |
% 266.86/37.15 | | | Case 2:
% 266.86/37.15 | | | |
% 266.86/37.15 | | | | (21) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004)
% 266.86/37.15 | | | |
% 266.86/37.15 | | | | ALPHA: (21) implies:
% 266.86/37.15 | | | | (22) ~ c3_1(a1004)
% 266.86/37.15 | | | | (23) ndr1_0
% 266.86/37.15 | | | | (24) c2_1(a1004)
% 266.86/37.15 | | | | (25) c1_1(a1004)
% 266.86/37.15 | | | |
% 266.86/37.15 | | | | REF_CLOSE: (1), (2), (15), (18), (19), (22), (23), (24), (25) are
% 266.86/37.15 | | | | inconsistent by sub-proof #65.
% 266.86/37.15 | | | |
% 266.86/37.15 | | | End of split
% 266.86/37.15 | | |
% 266.86/37.15 | | Case 2:
% 266.86/37.15 | | |
% 266.86/37.15 | | | (26) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019)
% 266.86/37.15 | | |
% 266.86/37.15 | | | ALPHA: (26) implies:
% 266.86/37.15 | | | (27) ~ c0_1(a1019)
% 266.86/37.15 | | | (28) ndr1_0
% 266.86/37.15 | | | (29) c2_1(a1019)
% 266.86/37.15 | | | (30) c1_1(a1019)
% 266.86/37.15 | | |
% 266.86/37.16 | | | REF_CLOSE: (4), (5), (6), (11), (12), (27), (28), (29), (30) are
% 266.86/37.16 | | | inconsistent by sub-proof #139.
% 266.86/37.16 | | |
% 266.86/37.16 | | End of split
% 266.86/37.16 | |
% 266.86/37.16 | End of split
% 266.86/37.16 |
% 266.86/37.16 End of proof
% 266.86/37.16
% 266.86/37.16 Sub-proof #65 shows that the following formulas are inconsistent:
% 266.86/37.16 ----------------------------------------------------------------
% 266.86/37.16 (1) hskp12 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 266.86/37.16 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.16 ndr1_0 | c2_1(v0))
% 266.86/37.16 (2) ~ c3_1(a1004)
% 266.86/37.16 (3) $i(a1004)
% 266.86/37.16 (4) c2_1(a1004)
% 266.86/37.16 (5) c1_1(a1004)
% 266.86/37.16 (6) ~ hskp12
% 266.86/37.16 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.16 ndr1_0)
% 266.86/37.16 (8) ndr1_0
% 266.86/37.16 (9) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.86/37.16
% 266.86/37.16 Begin of proof
% 266.86/37.16 |
% 266.86/37.16 | BETA: splitting (1) gives:
% 266.86/37.16 |
% 266.86/37.16 | Case 1:
% 266.86/37.16 | |
% 266.86/37.16 | | (10) hskp12
% 266.86/37.16 | |
% 266.86/37.16 | | PRED_UNIFY: (6), (10) imply:
% 266.86/37.16 | | (11) $false
% 266.86/37.16 | |
% 266.86/37.16 | | CLOSE: (11) is inconsistent.
% 266.86/37.16 | |
% 266.86/37.16 | Case 2:
% 266.86/37.16 | |
% 266.86/37.16 | |
% 266.86/37.16 | | GROUND_INST: instantiating (9) with a1004, simplifying with (2), (3), (4),
% 266.86/37.16 | | (8) gives:
% 266.86/37.16 | | (12) c0_1(a1004)
% 266.86/37.16 | |
% 266.86/37.16 | | GROUND_INST: instantiating (7) with a1004, simplifying with (3), (4), (5),
% 266.86/37.16 | | (8), (12) gives:
% 266.86/37.16 | | (13) $false
% 266.86/37.16 | |
% 266.86/37.16 | | CLOSE: (13) is inconsistent.
% 266.86/37.16 | |
% 266.86/37.16 | End of split
% 266.86/37.16 |
% 266.86/37.16 End of proof
% 266.86/37.16
% 266.86/37.16 Sub-proof #66 shows that the following formulas are inconsistent:
% 266.86/37.16 ----------------------------------------------------------------
% 266.86/37.16 (1) c1_1(a1003)
% 266.86/37.16 (2) ~ c2_1(a1003)
% 266.86/37.16 (3) $i(a1003)
% 266.86/37.16 (4) ~ c3_1(a1008)
% 266.86/37.16 (5) $i(a1008)
% 266.86/37.16 (6) ~ hskp8
% 266.86/37.16 (7) ~ c0_1(a1003)
% 266.86/37.16 (8) ~ c1_1(a1008)
% 266.86/37.16 (9) c2_1(a1008)
% 266.86/37.16 (10) ndr1_0
% 266.86/37.16 (11) hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.16 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.16 c1_1(v0) | c3_1(v0))
% 266.86/37.16
% 266.86/37.16 Begin of proof
% 266.86/37.16 |
% 266.86/37.16 | BETA: splitting (11) gives:
% 266.86/37.16 |
% 266.86/37.16 | Case 1:
% 266.86/37.16 | |
% 266.86/37.16 | | (12) hskp8
% 266.86/37.16 | |
% 266.86/37.16 | | PRED_UNIFY: (6), (12) imply:
% 266.86/37.16 | | (13) $false
% 266.86/37.16 | |
% 266.86/37.16 | | CLOSE: (13) is inconsistent.
% 266.86/37.16 | |
% 266.86/37.16 | Case 2:
% 266.86/37.16 | |
% 266.86/37.16 | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.16 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.16 | | c1_1(v0) | c3_1(v0))
% 266.86/37.16 | |
% 266.86/37.16 | | BETA: splitting (14) gives:
% 266.86/37.16 | |
% 266.86/37.16 | | Case 1:
% 266.86/37.16 | | |
% 266.86/37.16 | | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.16 | | | c0_1(v0))
% 266.86/37.16 | | |
% 266.86/37.16 | | | GROUND_INST: instantiating (15) with a1003, simplifying with (1), (2),
% 266.86/37.16 | | | (3), (7), (10) gives:
% 266.86/37.16 | | | (16) $false
% 266.86/37.16 | | |
% 266.86/37.16 | | | CLOSE: (16) is inconsistent.
% 266.86/37.16 | | |
% 266.86/37.16 | | Case 2:
% 266.86/37.16 | | |
% 266.86/37.16 | | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.16 | | | c3_1(v0))
% 266.86/37.16 | | |
% 266.86/37.16 | | | GROUND_INST: instantiating (17) with a1008, simplifying with (4), (5),
% 266.86/37.16 | | | (8), (9), (10) gives:
% 266.86/37.16 | | | (18) $false
% 266.86/37.16 | | |
% 266.86/37.16 | | | CLOSE: (18) is inconsistent.
% 266.86/37.16 | | |
% 266.86/37.16 | | End of split
% 266.86/37.16 | |
% 266.86/37.16 | End of split
% 266.86/37.16 |
% 266.86/37.16 End of proof
% 266.86/37.16
% 266.86/37.16 Sub-proof #67 shows that the following formulas are inconsistent:
% 266.86/37.16 ----------------------------------------------------------------
% 266.86/37.16 (1) c1_1(a1003)
% 266.86/37.16 (2) ~ c2_1(a1003)
% 266.86/37.16 (3) ~ hskp7
% 266.86/37.16 (4) hskp8 | hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.16 c2_1(v0) | c0_1(v0))
% 266.86/37.16 (5) $i(a1003)
% 266.86/37.16 (6) ~ hskp8
% 266.86/37.16 (7) ~ c0_1(a1003)
% 266.86/37.16 (8) ndr1_0
% 266.86/37.16
% 266.86/37.16 Begin of proof
% 266.86/37.16 |
% 266.86/37.16 | BETA: splitting (4) gives:
% 266.86/37.16 |
% 266.86/37.16 | Case 1:
% 266.86/37.16 | |
% 266.86/37.16 | | (9) hskp7
% 266.86/37.16 | |
% 266.86/37.16 | | PRED_UNIFY: (3), (9) imply:
% 266.86/37.16 | | (10) $false
% 266.86/37.16 | |
% 266.86/37.16 | | CLOSE: (10) is inconsistent.
% 266.86/37.16 | |
% 266.86/37.16 | Case 2:
% 266.86/37.16 | |
% 266.86/37.16 | | (11) hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.16 | | c2_1(v0) | c0_1(v0))
% 266.86/37.16 | |
% 266.86/37.16 | | BETA: splitting (11) gives:
% 266.86/37.16 | |
% 266.86/37.16 | | Case 1:
% 266.86/37.16 | | |
% 266.86/37.16 | | | (12) hskp8
% 266.86/37.16 | | |
% 266.86/37.16 | | | PRED_UNIFY: (6), (12) imply:
% 266.86/37.16 | | | (13) $false
% 266.86/37.16 | | |
% 266.86/37.16 | | | CLOSE: (13) is inconsistent.
% 266.86/37.16 | | |
% 266.86/37.16 | | Case 2:
% 266.86/37.16 | | |
% 266.86/37.16 | | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.16 | | | c0_1(v0))
% 266.86/37.16 | | |
% 266.86/37.16 | | | GROUND_INST: instantiating (14) with a1003, simplifying with (1), (2),
% 266.86/37.16 | | | (5), (7), (8) gives:
% 266.86/37.16 | | | (15) $false
% 266.86/37.16 | | |
% 266.86/37.16 | | | CLOSE: (15) is inconsistent.
% 266.86/37.16 | | |
% 266.86/37.16 | | End of split
% 266.86/37.16 | |
% 266.86/37.16 | End of split
% 266.86/37.16 |
% 266.86/37.16 End of proof
% 266.86/37.16
% 266.86/37.16 Sub-proof #68 shows that the following formulas are inconsistent:
% 266.86/37.16 ----------------------------------------------------------------
% 266.86/37.16 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.16 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.16 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.16 c1_1(v0) | c3_1(v0))
% 266.86/37.16 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.16 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.16 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.16 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.16 (3) c2_1(a1001)
% 266.86/37.16 (4) ~ c0_1(a1015)
% 266.86/37.16 (5) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 266.86/37.16 (6) c1_1(a1048)
% 266.86/37.16 (7) ~ c3_1(a1048)
% 266.86/37.16 (8) ~ c3_1(a1008)
% 266.86/37.16 (9) $i(a1008)
% 266.86/37.16 (10) ~ c1_1(a1001)
% 266.86/37.16 (11) $i(a1015)
% 266.86/37.16 (12) $i(a1001)
% 266.86/37.16 (13) ~ c1_1(a1008)
% 266.86/37.16 (14) $i(a1048)
% 266.86/37.16 (15) hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.16 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.16 c1_1(v0) | c0_1(v0))
% 266.86/37.16 (16) c2_1(a1008)
% 266.86/37.16 (17) ~ hskp3
% 266.86/37.16 (18) c3_1(a1001)
% 266.86/37.16 (19) $i(a1006)
% 266.86/37.16 (20) c3_1(a1015)
% 266.86/37.16 (21) ~ c1_1(a1015)
% 266.86/37.16
% 266.86/37.16 Begin of proof
% 266.86/37.16 |
% 266.86/37.16 | ALPHA: (5) implies:
% 266.86/37.16 | (22) ~ c2_1(a1006)
% 266.86/37.16 | (23) ndr1_0
% 266.86/37.16 | (24) c0_1(a1006)
% 266.86/37.16 | (25) c3_1(a1006)
% 266.86/37.16 |
% 266.86/37.16 | BETA: splitting (15) gives:
% 266.86/37.16 |
% 266.86/37.16 | Case 1:
% 266.86/37.16 | |
% 266.86/37.16 | | (26) hskp3
% 266.86/37.16 | |
% 266.86/37.16 | | PRED_UNIFY: (17), (26) imply:
% 266.86/37.16 | | (27) $false
% 266.86/37.16 | |
% 266.86/37.16 | | CLOSE: (27) is inconsistent.
% 266.86/37.16 | |
% 266.86/37.16 | Case 2:
% 266.86/37.16 | |
% 266.86/37.16 | | (28) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.16 | | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.16 | | c1_1(v0) | c0_1(v0))
% 266.86/37.16 | |
% 266.86/37.16 | | BETA: splitting (1) gives:
% 266.86/37.16 | |
% 266.86/37.16 | | Case 1:
% 266.86/37.16 | | |
% 266.86/37.16 | | | (29) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.16 | | | c0_1(v0))
% 266.86/37.16 | | |
% 266.86/37.16 | | | GROUND_INST: instantiating (29) with a1015, simplifying with (4), (11),
% 266.86/37.16 | | | (20), (21), (23) gives:
% 266.86/37.16 | | | (30) $false
% 266.86/37.16 | | |
% 266.86/37.16 | | | CLOSE: (30) is inconsistent.
% 266.86/37.16 | | |
% 266.86/37.16 | | Case 2:
% 266.86/37.16 | | |
% 266.86/37.16 | | | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.16 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.16 | | | c1_1(v0) | c3_1(v0))
% 266.86/37.16 | | |
% 266.86/37.16 | | | BETA: splitting (31) gives:
% 266.86/37.16 | | |
% 266.86/37.16 | | | Case 1:
% 266.86/37.16 | | | |
% 266.86/37.16 | | | | (32) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.16 | | | | c0_1(v0))
% 266.86/37.16 | | | |
% 266.86/37.16 | | | | GROUND_INST: instantiating (32) with a1015, simplifying with (4), (11),
% 266.86/37.16 | | | | (20), (23) gives:
% 266.86/37.16 | | | | (33) c2_1(a1015)
% 266.86/37.16 | | | |
% 266.86/37.16 | | | | BETA: splitting (2) gives:
% 266.86/37.16 | | | |
% 266.86/37.16 | | | | Case 1:
% 266.86/37.16 | | | | |
% 266.86/37.16 | | | | | (34) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.16 | | | | | ndr1_0 | c3_1(v0))
% 266.86/37.16 | | | | |
% 266.86/37.16 | | | | | BETA: splitting (28) gives:
% 266.86/37.16 | | | | |
% 266.86/37.16 | | | | | Case 1:
% 266.86/37.16 | | | | | |
% 266.86/37.16 | | | | | | (35) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.16 | | | | | | c3_1(v0) | c2_1(v0))
% 266.86/37.16 | | | | | |
% 266.86/37.16 | | | | | | GROUND_INST: instantiating (35) with a1048, simplifying with (6),
% 266.86/37.16 | | | | | | (7), (14), (23) gives:
% 266.86/37.16 | | | | | | (36) c2_1(a1048)
% 266.86/37.16 | | | | | |
% 266.86/37.16 | | | | | | GROUND_INST: instantiating (34) with a1048, simplifying with (6),
% 266.86/37.16 | | | | | | (7), (14), (23), (36) gives:
% 266.86/37.16 | | | | | | (37) $false
% 266.86/37.16 | | | | | |
% 266.86/37.16 | | | | | | CLOSE: (37) is inconsistent.
% 266.86/37.16 | | | | | |
% 266.86/37.16 | | | | | Case 2:
% 266.86/37.16 | | | | | |
% 266.86/37.16 | | | | | | (38) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.16 | | | | | | c1_1(v0) | c0_1(v0))
% 266.86/37.16 | | | | | |
% 266.86/37.16 | | | | | | GROUND_INST: instantiating (38) with a1015, simplifying with (4),
% 266.86/37.16 | | | | | | (11), (21), (23), (33) gives:
% 266.86/37.16 | | | | | | (39) $false
% 266.86/37.16 | | | | | |
% 266.86/37.16 | | | | | | CLOSE: (39) is inconsistent.
% 266.86/37.16 | | | | | |
% 266.86/37.16 | | | | | End of split
% 266.86/37.16 | | | | |
% 266.86/37.16 | | | | Case 2:
% 266.86/37.16 | | | | |
% 266.86/37.17 | | | | | (40) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.17 | | | | | ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0)
% 266.86/37.17 | | | | | | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.17 | | | | |
% 266.86/37.17 | | | | | REF_CLOSE: (3), (10), (12), (18), (19), (22), (23), (24), (25), (40)
% 266.86/37.17 | | | | | are inconsistent by sub-proof #99.
% 266.86/37.17 | | | | |
% 266.86/37.17 | | | | End of split
% 266.86/37.17 | | | |
% 266.86/37.17 | | | Case 2:
% 266.86/37.17 | | | |
% 266.86/37.17 | | | | (41) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.17 | | | | c3_1(v0))
% 266.86/37.17 | | | |
% 266.86/37.17 | | | | GROUND_INST: instantiating (41) with a1008, simplifying with (8), (9),
% 266.86/37.17 | | | | (13), (16), (23) gives:
% 266.86/37.17 | | | | (42) $false
% 266.86/37.17 | | | |
% 266.86/37.17 | | | | CLOSE: (42) is inconsistent.
% 266.86/37.17 | | | |
% 266.86/37.17 | | | End of split
% 266.86/37.17 | | |
% 266.86/37.17 | | End of split
% 266.86/37.17 | |
% 266.86/37.17 | End of split
% 266.86/37.17 |
% 266.86/37.17 End of proof
% 266.86/37.17
% 266.86/37.17 Sub-proof #69 shows that the following formulas are inconsistent:
% 266.86/37.17 ----------------------------------------------------------------
% 266.86/37.17 (1) $i(a1040)
% 266.86/37.17 (2) ~ c2_1(a1023)
% 266.86/37.17 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.17 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.17 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.17 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.17 (4) $i(a1019)
% 266.86/37.17 (5) c2_1(a1001)
% 266.86/37.17 (6) $i(a1023)
% 266.86/37.17 (7) ~ c1_1(a1023)
% 266.86/37.17 (8) c1_1(a1048)
% 266.86/37.17 (9) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.17 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.86/37.17 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.17 c1_1(v0) | c2_1(v0))
% 266.86/37.17 (10) ~ c3_1(a1048)
% 266.86/37.17 (11) hskp29 | hskp26 | hskp3
% 266.86/37.17 (12) ~ hskp29 | (c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0)
% 266.86/37.17 (13) ~ c1_1(a1001)
% 266.86/37.17 (14) $i(a1001)
% 266.86/37.17 (15) $i(a1048)
% 266.86/37.17 (16) ~ hskp3
% 266.86/37.17 (17) ~ c0_1(a1048)
% 266.86/37.17 (18) c3_1(a1001)
% 266.86/37.17 (19) ~ hskp26
% 266.86/37.17 (20) c2_1(a1019)
% 266.86/37.17 (21) c1_1(a1019)
% 266.86/37.17 (22) c3_1(a1023)
% 266.86/37.17
% 266.86/37.17 Begin of proof
% 266.86/37.17 |
% 266.86/37.17 | BETA: splitting (11) gives:
% 266.86/37.17 |
% 266.86/37.17 | Case 1:
% 266.86/37.17 | |
% 266.86/37.17 | | (23) hskp3
% 266.86/37.17 | |
% 266.86/37.17 | | PRED_UNIFY: (16), (23) imply:
% 266.86/37.17 | | (24) $false
% 266.86/37.17 | |
% 266.86/37.17 | | CLOSE: (24) is inconsistent.
% 266.86/37.17 | |
% 266.86/37.17 | Case 2:
% 266.86/37.17 | |
% 266.86/37.17 | | (25) hskp29 | hskp26
% 266.86/37.17 | |
% 266.86/37.17 | | BETA: splitting (25) gives:
% 266.86/37.17 | |
% 266.86/37.17 | | Case 1:
% 266.86/37.17 | | |
% 266.86/37.17 | | | (26) hskp29
% 266.86/37.17 | | |
% 266.86/37.17 | | | BETA: splitting (12) gives:
% 266.86/37.17 | | |
% 266.86/37.17 | | | Case 1:
% 266.86/37.17 | | | |
% 266.86/37.17 | | | | (27) ~ hskp29
% 266.86/37.17 | | | |
% 266.86/37.17 | | | | PRED_UNIFY: (26), (27) imply:
% 266.86/37.17 | | | | (28) $false
% 266.86/37.17 | | | |
% 266.86/37.17 | | | | CLOSE: (28) is inconsistent.
% 266.86/37.17 | | | |
% 266.86/37.17 | | | Case 2:
% 266.86/37.17 | | | |
% 266.86/37.17 | | | | (29) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 266.86/37.17 | | | |
% 266.86/37.17 | | | | ALPHA: (29) implies:
% 266.86/37.17 | | | | (30) ndr1_0
% 266.86/37.17 | | | | (31) c0_1(a1040)
% 266.86/37.17 | | | | (32) c3_1(a1040)
% 266.86/37.17 | | | | (33) c1_1(a1040)
% 266.86/37.17 | | | |
% 266.86/37.17 | | | | BETA: splitting (9) gives:
% 266.86/37.17 | | | |
% 266.86/37.17 | | | | Case 1:
% 266.86/37.17 | | | | |
% 266.86/37.17 | | | | | (34) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.17 | | | | | c2_1(v0) | ~ ndr1_0)
% 266.86/37.17 | | | | |
% 266.86/37.17 | | | | | REF_CLOSE: (1), (3), (4), (5), (13), (14), (18), (20), (21), (30),
% 266.86/37.17 | | | | | (31), (32), (33), (34) are inconsistent by sub-proof #70.
% 266.86/37.17 | | | | |
% 266.86/37.17 | | | | Case 2:
% 266.86/37.17 | | | | |
% 266.86/37.17 | | | | | (35) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0)
% 266.86/37.17 | | | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.17 | | | | | ndr1_0 | c1_1(v0) | c2_1(v0))
% 266.86/37.17 | | | | |
% 266.86/37.17 | | | | | BETA: splitting (35) gives:
% 266.86/37.17 | | | | |
% 266.86/37.17 | | | | | Case 1:
% 266.86/37.17 | | | | | |
% 266.86/37.17 | | | | | | (36) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.17 | | | | | | c3_1(v0) | c0_1(v0))
% 266.86/37.17 | | | | | |
% 266.86/37.17 | | | | | | GROUND_INST: instantiating (36) with a1048, simplifying with (8),
% 266.86/37.17 | | | | | | (10), (15), (17), (30) gives:
% 266.86/37.17 | | | | | | (37) $false
% 266.86/37.17 | | | | | |
% 266.86/37.17 | | | | | | CLOSE: (37) is inconsistent.
% 266.86/37.17 | | | | | |
% 266.86/37.17 | | | | | Case 2:
% 266.86/37.17 | | | | | |
% 266.86/37.17 | | | | | | (38) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.17 | | | | | | c1_1(v0) | c2_1(v0))
% 266.86/37.17 | | | | | |
% 266.86/37.17 | | | | | | GROUND_INST: instantiating (38) with a1023, simplifying with (2),
% 266.86/37.17 | | | | | | (6), (7), (22), (30) gives:
% 266.86/37.17 | | | | | | (39) $false
% 266.86/37.17 | | | | | |
% 266.86/37.17 | | | | | | CLOSE: (39) is inconsistent.
% 266.86/37.17 | | | | | |
% 266.86/37.17 | | | | | End of split
% 266.86/37.17 | | | | |
% 266.86/37.17 | | | | End of split
% 266.86/37.17 | | | |
% 266.86/37.17 | | | End of split
% 266.86/37.17 | | |
% 266.86/37.17 | | Case 2:
% 266.86/37.17 | | |
% 266.86/37.17 | | | (40) hskp26
% 266.86/37.17 | | |
% 266.86/37.17 | | | PRED_UNIFY: (19), (40) imply:
% 266.86/37.17 | | | (41) $false
% 266.86/37.17 | | |
% 266.86/37.17 | | | CLOSE: (41) is inconsistent.
% 266.86/37.17 | | |
% 266.86/37.17 | | End of split
% 266.86/37.17 | |
% 266.86/37.17 | End of split
% 266.86/37.17 |
% 266.86/37.17 End of proof
% 266.86/37.17
% 266.86/37.17 Sub-proof #70 shows that the following formulas are inconsistent:
% 266.86/37.17 ----------------------------------------------------------------
% 266.86/37.17 (1) $i(a1040)
% 266.86/37.17 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.17 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.17 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.17 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.17 (3) $i(a1019)
% 266.86/37.17 (4) c2_1(a1001)
% 266.86/37.17 (5) c3_1(a1040)
% 266.86/37.17 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.17 ndr1_0)
% 266.86/37.17 (7) ~ c1_1(a1001)
% 266.86/37.17 (8) $i(a1001)
% 266.86/37.17 (9) c1_1(a1040)
% 266.86/37.17 (10) ndr1_0
% 266.86/37.17 (11) c3_1(a1001)
% 266.86/37.17 (12) c0_1(a1040)
% 266.86/37.17 (13) c2_1(a1019)
% 266.86/37.17 (14) c1_1(a1019)
% 266.86/37.17
% 266.86/37.17 Begin of proof
% 266.86/37.17 |
% 266.86/37.17 | BETA: splitting (2) gives:
% 266.86/37.17 |
% 266.86/37.17 | Case 1:
% 266.86/37.17 | |
% 266.86/37.17 | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.17 | | c3_1(v0))
% 266.86/37.17 | |
% 266.86/37.17 | | GROUND_INST: instantiating (15) with a1019, simplifying with (3), (10),
% 266.86/37.17 | | (13), (14) gives:
% 266.86/37.17 | | (16) c3_1(a1019)
% 266.86/37.17 | |
% 266.86/37.17 | | GROUND_INST: instantiating (6) with a1019, simplifying with (3), (10), (13),
% 266.86/37.17 | | (14), (16) gives:
% 266.86/37.17 | | (17) $false
% 266.86/37.17 | |
% 266.86/37.17 | | CLOSE: (17) is inconsistent.
% 266.86/37.17 | |
% 266.86/37.17 | Case 2:
% 266.86/37.17 | |
% 266.86/37.17 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.17 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.17 | | ~ ndr1_0 | c2_1(v0))
% 266.86/37.17 | |
% 266.86/37.17 | | BETA: splitting (18) gives:
% 266.86/37.17 | |
% 266.86/37.17 | | Case 1:
% 266.86/37.17 | | |
% 266.86/37.17 | | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.17 | | | c1_1(v0))
% 266.86/37.17 | | |
% 266.86/37.17 | | | GROUND_INST: instantiating (19) with a1001, simplifying with (4), (7),
% 266.86/37.17 | | | (8), (10), (11) gives:
% 266.86/37.17 | | | (20) $false
% 266.86/37.17 | | |
% 266.86/37.17 | | | CLOSE: (20) is inconsistent.
% 266.86/37.17 | | |
% 266.86/37.17 | | Case 2:
% 266.86/37.17 | | |
% 266.86/37.17 | | | (21) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.17 | | | c2_1(v0))
% 266.86/37.17 | | |
% 266.86/37.17 | | | GROUND_INST: instantiating (21) with a1040, simplifying with (1), (5),
% 266.86/37.17 | | | (10), (12) gives:
% 266.86/37.17 | | | (22) c2_1(a1040)
% 266.86/37.17 | | |
% 266.86/37.17 | | | GROUND_INST: instantiating (6) with a1040, simplifying with (1), (5), (9),
% 266.86/37.17 | | | (10), (22) gives:
% 266.86/37.17 | | | (23) $false
% 266.86/37.17 | | |
% 266.86/37.17 | | | CLOSE: (23) is inconsistent.
% 266.86/37.17 | | |
% 266.86/37.17 | | End of split
% 266.86/37.17 | |
% 266.86/37.17 | End of split
% 266.86/37.17 |
% 266.86/37.17 End of proof
% 266.86/37.17
% 266.86/37.17 Sub-proof #71 shows that the following formulas are inconsistent:
% 266.86/37.17 ----------------------------------------------------------------
% 266.86/37.17 (1) $i(a1040)
% 266.86/37.17 (2) ~ c3_1(a1004)
% 266.86/37.17 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.17 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.17 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.17 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.17 (4) $i(a1010)
% 266.86/37.17 (5) $i(a1004)
% 266.86/37.17 (6) c2_1(a1004)
% 266.86/37.17 (7) c1_1(a1004)
% 266.86/37.17 (8) c2_1(a1001)
% 266.86/37.17 (9) ~ c1_1(a1010)
% 266.86/37.17 (10) c3_1(a1040)
% 266.86/37.17 (11) c1_1(a1048)
% 266.86/37.17 (12) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.17 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.17 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.17 ndr1_0 | c1_1(v0) | c2_1(v0))
% 266.86/37.17 (13) ~ c3_1(a1048)
% 266.86/37.17 (14) c3_1(a1010)
% 266.86/37.17 (15) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.17 c1_1(v0))
% 266.86/37.17 (16) c0_1(a1010)
% 266.86/37.17 (17) ~ c1_1(a1001)
% 266.86/37.17 (18) $i(a1001)
% 266.86/37.17 (19) $i(a1048)
% 266.86/37.17 (20) c1_1(a1040)
% 266.86/37.17 (21) ndr1_0
% 266.86/37.17 (22) ~ c0_1(a1048)
% 266.86/37.17 (23) c3_1(a1001)
% 266.86/37.17 (24) c0_1(a1040)
% 266.86/37.17
% 266.86/37.17 Begin of proof
% 266.86/37.17 |
% 266.86/37.17 | BETA: splitting (12) gives:
% 266.86/37.17 |
% 266.86/37.17 | Case 1:
% 266.86/37.17 | |
% 266.86/37.17 | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.86/37.17 | | ~ ndr1_0)
% 266.86/37.17 | |
% 266.86/37.17 | | REF_CLOSE: (1), (2), (3), (5), (6), (7), (8), (10), (17), (18), (20), (21),
% 266.86/37.17 | | (23), (24), (25) are inconsistent by sub-proof #72.
% 266.86/37.17 | |
% 266.86/37.17 | Case 2:
% 266.86/37.17 | |
% 266.86/37.17 | | (26) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.17 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.17 | | c1_1(v0) | c2_1(v0))
% 266.86/37.17 | |
% 266.86/37.17 | | BETA: splitting (26) gives:
% 266.86/37.17 | |
% 266.86/37.17 | | Case 1:
% 266.86/37.17 | | |
% 266.86/37.18 | | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.18 | | | c0_1(v0))
% 266.86/37.18 | | |
% 266.86/37.18 | | | GROUND_INST: instantiating (27) with a1048, simplifying with (11), (13),
% 266.86/37.18 | | | (19), (21), (22) gives:
% 266.86/37.18 | | | (28) $false
% 266.86/37.18 | | |
% 266.86/37.18 | | | CLOSE: (28) is inconsistent.
% 266.86/37.18 | | |
% 266.86/37.18 | | Case 2:
% 266.86/37.18 | | |
% 266.86/37.18 | | | (29) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.18 | | | c2_1(v0))
% 266.86/37.18 | | |
% 266.86/37.18 | | | GROUND_INST: instantiating (29) with a1010, simplifying with (4), (9),
% 266.86/37.18 | | | (14), (21) gives:
% 266.86/37.18 | | | (30) c2_1(a1010)
% 266.86/37.18 | | |
% 266.86/37.18 | | | GROUND_INST: instantiating (15) with a1010, simplifying with (4), (9),
% 266.86/37.18 | | | (16), (21), (30) gives:
% 266.86/37.18 | | | (31) $false
% 266.86/37.18 | | |
% 266.86/37.18 | | | CLOSE: (31) is inconsistent.
% 266.86/37.18 | | |
% 266.86/37.18 | | End of split
% 266.86/37.18 | |
% 266.86/37.18 | End of split
% 266.86/37.18 |
% 266.86/37.18 End of proof
% 266.86/37.18
% 266.86/37.18 Sub-proof #72 shows that the following formulas are inconsistent:
% 266.86/37.18 ----------------------------------------------------------------
% 266.86/37.18 (1) $i(a1040)
% 266.86/37.18 (2) ~ c3_1(a1004)
% 266.86/37.18 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.18 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.18 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.18 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.18 (4) $i(a1004)
% 266.86/37.18 (5) c2_1(a1004)
% 266.86/37.18 (6) c1_1(a1004)
% 266.86/37.18 (7) c2_1(a1001)
% 266.86/37.18 (8) c3_1(a1040)
% 266.86/37.18 (9) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.18 ndr1_0)
% 266.86/37.18 (10) ~ c1_1(a1001)
% 266.86/37.18 (11) $i(a1001)
% 266.86/37.18 (12) c1_1(a1040)
% 266.86/37.18 (13) ndr1_0
% 266.86/37.18 (14) c3_1(a1001)
% 266.86/37.18 (15) c0_1(a1040)
% 266.86/37.18
% 266.86/37.18 Begin of proof
% 266.86/37.18 |
% 266.86/37.18 | BETA: splitting (3) gives:
% 266.86/37.18 |
% 266.86/37.18 | Case 1:
% 266.86/37.18 | |
% 266.86/37.18 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.18 | | c3_1(v0))
% 266.86/37.18 | |
% 266.86/37.18 | | GROUND_INST: instantiating (16) with a1004, simplifying with (2), (4), (5),
% 266.86/37.18 | | (6), (13) gives:
% 266.86/37.18 | | (17) $false
% 266.86/37.18 | |
% 266.86/37.18 | | CLOSE: (17) is inconsistent.
% 266.86/37.18 | |
% 266.86/37.18 | Case 2:
% 266.86/37.18 | |
% 266.86/37.18 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.18 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.18 | | ~ ndr1_0 | c2_1(v0))
% 266.86/37.18 | |
% 266.86/37.18 | | BETA: splitting (18) gives:
% 266.86/37.18 | |
% 266.86/37.18 | | Case 1:
% 266.86/37.18 | | |
% 266.86/37.18 | | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.18 | | | c1_1(v0))
% 266.86/37.18 | | |
% 266.86/37.18 | | | GROUND_INST: instantiating (19) with a1001, simplifying with (7), (10),
% 266.86/37.18 | | | (11), (13), (14) gives:
% 266.86/37.18 | | | (20) $false
% 266.86/37.18 | | |
% 266.86/37.18 | | | CLOSE: (20) is inconsistent.
% 266.86/37.18 | | |
% 266.86/37.18 | | Case 2:
% 266.86/37.18 | | |
% 266.86/37.18 | | | (21) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.18 | | | c2_1(v0))
% 266.86/37.18 | | |
% 266.86/37.18 | | | GROUND_INST: instantiating (21) with a1040, simplifying with (1), (8),
% 266.86/37.18 | | | (13), (15) gives:
% 266.86/37.18 | | | (22) c2_1(a1040)
% 266.86/37.18 | | |
% 266.86/37.18 | | | GROUND_INST: instantiating (9) with a1040, simplifying with (1), (8),
% 266.86/37.18 | | | (12), (13), (22) gives:
% 266.86/37.18 | | | (23) $false
% 266.86/37.18 | | |
% 266.86/37.18 | | | CLOSE: (23) is inconsistent.
% 266.86/37.18 | | |
% 266.86/37.18 | | End of split
% 266.86/37.18 | |
% 266.86/37.18 | End of split
% 266.86/37.18 |
% 266.86/37.18 End of proof
% 266.86/37.18
% 266.86/37.18 Sub-proof #73 shows that the following formulas are inconsistent:
% 266.86/37.18 ----------------------------------------------------------------
% 266.86/37.18 (1) $i(a1026)
% 266.86/37.18 (2) ~ c2_1(a1006)
% 266.86/37.18 (3) $i(a1010)
% 266.86/37.18 (4) c3_1(a1006)
% 266.86/37.18 (5) $i(a1045)
% 266.86/37.18 (6) ~ c1_1(a1010)
% 266.86/37.18 (7) hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.18 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.18 c1_1(v0) | c0_1(v0))
% 266.86/37.18 (8) c1_1(a1048)
% 266.86/37.18 (9) hskp24 | hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.18 ~ ndr1_0 | c1_1(v0))
% 266.86/37.18 (10) ~ c3_1(a1048)
% 266.86/37.18 (11) c3_1(a1010)
% 266.86/37.18 (12) c0_1(a1010)
% 266.86/37.18 (13) $i(a1048)
% 266.86/37.18 (14) ndr1_0
% 266.86/37.18 (15) ~ c0_1(a1048)
% 266.86/37.18 (16) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.86/37.18 (17) ~ hskp4
% 266.86/37.18 (18) $i(a1006)
% 266.86/37.18 (19) ~ hskp15 | (c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026))
% 266.86/37.18 (20) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.18 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.86/37.18 ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.86/37.18 (21) c0_1(a1006)
% 266.86/37.18 (22) ~ hskp11
% 266.86/37.18
% 266.86/37.18 Begin of proof
% 266.86/37.18 |
% 266.86/37.18 | BETA: splitting (19) gives:
% 266.86/37.18 |
% 266.86/37.18 | Case 1:
% 266.86/37.18 | |
% 266.86/37.18 | | (23) ~ hskp15
% 266.86/37.18 | |
% 266.86/37.18 | | REF_CLOSE: (3), (5), (6), (8), (9), (10), (11), (12), (13), (14), (15),
% 266.86/37.18 | | (16), (20), (22), (23) are inconsistent by sub-proof #83.
% 266.86/37.18 | |
% 266.86/37.18 | Case 2:
% 266.86/37.18 | |
% 266.86/37.18 | | (24) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.86/37.18 | |
% 266.86/37.18 | | ALPHA: (24) implies:
% 266.86/37.18 | | (25) ~ c0_1(a1026)
% 266.86/37.18 | | (26) ~ c1_1(a1026)
% 266.86/37.18 | | (27) c2_1(a1026)
% 266.86/37.18 | |
% 266.86/37.18 | | REF_CLOSE: (1), (2), (4), (7), (14), (17), (18), (21), (25), (26), (27) are
% 266.86/37.18 | | inconsistent by sub-proof #82.
% 266.86/37.18 | |
% 266.86/37.18 | End of split
% 266.86/37.18 |
% 266.86/37.18 End of proof
% 266.86/37.18
% 266.86/37.18 Sub-proof #74 shows that the following formulas are inconsistent:
% 266.86/37.18 ----------------------------------------------------------------
% 266.86/37.18 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.18 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.18 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.18 c1_1(v0) | c3_1(v0))
% 266.86/37.18 (2) $i(a1045)
% 266.86/37.18 (3) ~ c0_1(a1015)
% 266.86/37.18 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.18 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.18 ndr1_0 | c0_1(v0))
% 266.86/37.18 (5) c1_1(a1045)
% 266.86/37.18 (6) ~ c3_1(a1008)
% 266.86/37.18 (7) $i(a1008)
% 266.86/37.18 (8) c3_1(a1045)
% 266.86/37.18 (9) $i(a1015)
% 266.86/37.18 (10) ~ c1_1(a1008)
% 266.86/37.18 (11) c2_1(a1008)
% 266.86/37.18 (12) ndr1_0
% 266.86/37.18 (13) ~ c0_1(a1045)
% 266.86/37.18 (14) c3_1(a1015)
% 266.86/37.18 (15) ~ c1_1(a1015)
% 266.86/37.18
% 266.86/37.18 Begin of proof
% 266.86/37.18 |
% 266.86/37.18 | BETA: splitting (4) gives:
% 266.86/37.18 |
% 266.86/37.18 | Case 1:
% 266.86/37.18 | |
% 266.86/37.18 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.18 | | c0_1(v0))
% 266.86/37.18 | |
% 266.86/37.18 | | GROUND_INST: instantiating (16) with a1045, simplifying with (2), (5), (8),
% 266.86/37.18 | | (12), (13) gives:
% 266.86/37.18 | | (17) $false
% 266.86/37.18 | |
% 266.86/37.18 | | CLOSE: (17) is inconsistent.
% 266.86/37.18 | |
% 266.86/37.18 | Case 2:
% 266.86/37.18 | |
% 266.86/37.18 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.18 | | c0_1(v0))
% 266.86/37.18 | |
% 266.86/37.18 | | REF_CLOSE: (1), (3), (6), (7), (9), (10), (11), (12), (14), (15), (18) are
% 266.86/37.18 | | inconsistent by sub-proof #130.
% 266.86/37.18 | |
% 266.86/37.18 | End of split
% 266.86/37.18 |
% 266.86/37.18 End of proof
% 266.86/37.18
% 266.86/37.18 Sub-proof #75 shows that the following formulas are inconsistent:
% 266.86/37.18 ----------------------------------------------------------------
% 266.86/37.18 (1) $i(a1040)
% 266.86/37.18 (2) ~ hskp26 | (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))
% 266.86/37.18 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.18 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.18 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.18 c1_1(v0) | c3_1(v0))
% 266.86/37.18 (4) $i(a1045)
% 266.86/37.18 (5) $i(a1052)
% 266.86/37.18 (6) $i(a1029)
% 266.86/37.18 (7) c1_1(a1048)
% 266.86/37.18 (8) ~ c3_1(a1048)
% 266.86/37.18 (9) hskp29 | hskp26 | hskp3
% 266.86/37.18 (10) ~ c3_1(a1008)
% 266.86/37.18 (11) $i(a1008)
% 266.86/37.18 (12) ~ hskp8
% 266.86/37.18 (13) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 266.86/37.18 (14) ~ hskp29 | (c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0)
% 266.86/37.18 (15) ~ c1_1(a1008)
% 266.86/37.18 (16) $i(a1048)
% 266.86/37.18 (17) c2_1(a1008)
% 266.86/37.18 (18) ~ hskp3
% 266.86/37.18 (19) ~ c0_1(a1048)
% 266.86/37.18 (20) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.86/37.18 (21) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.86/37.18 ~ c0_1(v0) | ~ ndr1_0)
% 266.86/37.19 (22) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.19 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.86/37.19 ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.86/37.19 (23) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.86/37.19 ~ ndr1_0 | c2_1(v0))
% 266.86/37.19 (24) ~ hskp11
% 266.86/37.19
% 266.86/37.19 Begin of proof
% 266.86/37.19 |
% 266.86/37.19 | BETA: splitting (2) gives:
% 266.86/37.19 |
% 266.86/37.19 | Case 1:
% 266.86/37.19 | |
% 266.86/37.19 | | (25) ~ hskp26
% 266.86/37.19 | |
% 266.86/37.19 | | BETA: splitting (9) gives:
% 266.86/37.19 | |
% 266.86/37.19 | | Case 1:
% 266.86/37.19 | | |
% 266.86/37.19 | | | (26) hskp3
% 266.86/37.19 | | |
% 266.86/37.19 | | | PRED_UNIFY: (18), (26) imply:
% 266.86/37.19 | | | (27) $false
% 266.86/37.19 | | |
% 266.86/37.19 | | | CLOSE: (27) is inconsistent.
% 266.86/37.19 | | |
% 266.86/37.19 | | Case 2:
% 266.86/37.19 | | |
% 266.86/37.19 | | | (28) hskp29 | hskp26
% 266.86/37.19 | | |
% 266.86/37.19 | | | BETA: splitting (23) gives:
% 266.86/37.19 | | |
% 266.86/37.19 | | | Case 1:
% 266.86/37.19 | | | |
% 266.86/37.19 | | | | (29) hskp8
% 266.86/37.19 | | | |
% 266.86/37.19 | | | | PRED_UNIFY: (12), (29) imply:
% 266.86/37.19 | | | | (30) $false
% 266.86/37.19 | | | |
% 266.86/37.19 | | | | CLOSE: (30) is inconsistent.
% 266.86/37.19 | | | |
% 266.86/37.19 | | | Case 2:
% 266.86/37.19 | | | |
% 266.86/37.19 | | | | (31) hskp26 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.86/37.19 | | | | ~ ndr1_0 | c2_1(v0))
% 266.86/37.19 | | | |
% 266.86/37.19 | | | | BETA: splitting (28) gives:
% 266.86/37.19 | | | |
% 266.86/37.19 | | | | Case 1:
% 266.86/37.19 | | | | |
% 266.86/37.19 | | | | | (32) hskp29
% 266.86/37.19 | | | | |
% 266.86/37.19 | | | | | BETA: splitting (31) gives:
% 266.86/37.19 | | | | |
% 266.86/37.19 | | | | | Case 1:
% 266.86/37.19 | | | | | |
% 266.86/37.19 | | | | | | (33) hskp26
% 266.86/37.19 | | | | | |
% 266.86/37.19 | | | | | | PRED_UNIFY: (25), (33) imply:
% 266.86/37.19 | | | | | | (34) $false
% 266.86/37.19 | | | | | |
% 266.86/37.19 | | | | | | CLOSE: (34) is inconsistent.
% 266.86/37.19 | | | | | |
% 266.86/37.19 | | | | | Case 2:
% 266.86/37.19 | | | | | |
% 266.86/37.19 | | | | | | (35) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.19 | | | | | | ndr1_0 | c2_1(v0))
% 266.86/37.19 | | | | | |
% 266.86/37.19 | | | | | | BETA: splitting (14) gives:
% 266.86/37.19 | | | | | |
% 266.86/37.19 | | | | | | Case 1:
% 266.86/37.19 | | | | | | |
% 266.86/37.19 | | | | | | | (36) ~ hskp29
% 266.86/37.19 | | | | | | |
% 266.86/37.19 | | | | | | | PRED_UNIFY: (32), (36) imply:
% 266.86/37.19 | | | | | | | (37) $false
% 266.86/37.19 | | | | | | |
% 266.86/37.19 | | | | | | | CLOSE: (37) is inconsistent.
% 266.86/37.19 | | | | | | |
% 266.86/37.19 | | | | | | Case 2:
% 266.86/37.19 | | | | | | |
% 266.86/37.19 | | | | | | | (38) c1_1(a1040) & c3_1(a1040) & c0_1(a1040) & ndr1_0
% 266.86/37.19 | | | | | | |
% 266.86/37.19 | | | | | | | ALPHA: (38) implies:
% 266.86/37.19 | | | | | | | (39) ndr1_0
% 266.86/37.19 | | | | | | | (40) c0_1(a1040)
% 266.86/37.19 | | | | | | | (41) c3_1(a1040)
% 266.86/37.19 | | | | | | | (42) c1_1(a1040)
% 266.86/37.19 | | | | | | |
% 266.86/37.19 | | | | | | | BETA: splitting (20) gives:
% 266.86/37.19 | | | | | | |
% 266.86/37.19 | | | | | | | Case 1:
% 266.86/37.19 | | | | | | | |
% 266.86/37.19 | | | | | | | | (43) ~ hskp24
% 266.86/37.19 | | | | | | | |
% 266.86/37.19 | | | | | | | | BETA: splitting (21) gives:
% 266.86/37.19 | | | | | | | |
% 266.86/37.19 | | | | | | | | Case 1:
% 266.86/37.19 | | | | | | | | |
% 266.86/37.19 | | | | | | | | | (44) hskp3
% 266.86/37.19 | | | | | | | | |
% 266.86/37.19 | | | | | | | | | PRED_UNIFY: (18), (44) imply:
% 266.86/37.19 | | | | | | | | | (45) $false
% 266.86/37.19 | | | | | | | | |
% 266.86/37.19 | | | | | | | | | CLOSE: (45) is inconsistent.
% 266.86/37.19 | | | | | | | | |
% 266.86/37.19 | | | | | | | | Case 2:
% 266.86/37.19 | | | | | | | | |
% 266.86/37.19 | | | | | | | | | (46) hskp24 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.19 | | | | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0)
% 266.86/37.19 | | | | | | | | |
% 266.86/37.19 | | | | | | | | | BETA: splitting (46) gives:
% 266.86/37.19 | | | | | | | | |
% 266.86/37.19 | | | | | | | | | Case 1:
% 266.86/37.19 | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | (47) hskp24
% 266.86/37.19 | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | PRED_UNIFY: (43), (47) imply:
% 266.86/37.19 | | | | | | | | | | (48) $false
% 266.86/37.19 | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | CLOSE: (48) is inconsistent.
% 266.86/37.19 | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | Case 2:
% 266.86/37.19 | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | (49) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0)
% 266.86/37.19 | | | | | | | | | | | ~ c0_1(v0) | ~ ndr1_0)
% 266.86/37.19 | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | BETA: splitting (13) gives:
% 266.86/37.19 | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | Case 1:
% 266.86/37.19 | | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | | REF_CLOSE: (1), (35), (39), (40), (41), (42), (49) are
% 266.86/37.19 | | | | | | | | | | | inconsistent by sub-proof #76.
% 266.86/37.19 | | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | Case 2:
% 266.86/37.19 | | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | | (50) hskp27
% 266.86/37.19 | | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | | REF_CLOSE: (4), (6), (7), (8), (13), (16), (18), (19), (20),
% 266.86/37.19 | | | | | | | | | | | (21), (22), (24), (50) are inconsistent by
% 266.86/37.19 | | | | | | | | | | | sub-proof #104.
% 266.86/37.19 | | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | | End of split
% 266.86/37.19 | | | | | | | | | |
% 266.86/37.19 | | | | | | | | | End of split
% 266.86/37.19 | | | | | | | | |
% 266.86/37.19 | | | | | | | | End of split
% 266.86/37.19 | | | | | | | |
% 266.86/37.19 | | | | | | | Case 2:
% 266.86/37.19 | | | | | | | |
% 266.86/37.19 | | | | | | | | (51) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.86/37.19 | | | | | | | |
% 266.86/37.19 | | | | | | | | ALPHA: (51) implies:
% 266.86/37.19 | | | | | | | | (52) ~ c0_1(a1045)
% 266.86/37.19 | | | | | | | | (53) c3_1(a1045)
% 266.86/37.19 | | | | | | | | (54) c1_1(a1045)
% 266.86/37.19 | | | | | | | |
% 266.86/37.19 | | | | | | | | REF_CLOSE: (4), (7), (8), (16), (19), (22), (24), (39), (52),
% 266.86/37.19 | | | | | | | | (53), (54) are inconsistent by sub-proof #105.
% 266.86/37.19 | | | | | | | |
% 266.86/37.19 | | | | | | | End of split
% 266.86/37.19 | | | | | | |
% 266.86/37.19 | | | | | | End of split
% 266.86/37.19 | | | | | |
% 266.86/37.19 | | | | | End of split
% 266.86/37.19 | | | | |
% 266.86/37.19 | | | | Case 2:
% 266.86/37.19 | | | | |
% 266.86/37.19 | | | | | (55) hskp26
% 266.86/37.19 | | | | |
% 266.86/37.19 | | | | | PRED_UNIFY: (25), (55) imply:
% 266.86/37.19 | | | | | (56) $false
% 266.86/37.19 | | | | |
% 266.86/37.19 | | | | | CLOSE: (56) is inconsistent.
% 266.86/37.19 | | | | |
% 266.86/37.19 | | | | End of split
% 266.86/37.19 | | | |
% 266.86/37.19 | | | End of split
% 266.86/37.19 | | |
% 266.86/37.19 | | End of split
% 266.86/37.19 | |
% 266.86/37.19 | Case 2:
% 266.86/37.19 | |
% 266.86/37.19 | | (57) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052)
% 266.86/37.19 | |
% 266.86/37.19 | | ALPHA: (57) implies:
% 266.86/37.19 | | (58) ~ c0_1(a1052)
% 266.86/37.19 | | (59) ~ c2_1(a1052)
% 266.86/37.19 | | (60) ndr1_0
% 266.86/37.19 | | (61) c3_1(a1052)
% 266.86/37.19 | |
% 266.86/37.19 | | REF_CLOSE: (3), (5), (7), (8), (10), (11), (15), (16), (17), (19), (22),
% 266.86/37.19 | | (24), (58), (59), (60), (61) are inconsistent by sub-proof #120.
% 266.86/37.19 | |
% 266.86/37.19 | End of split
% 266.86/37.19 |
% 266.86/37.19 End of proof
% 266.86/37.19
% 266.86/37.19 Sub-proof #76 shows that the following formulas are inconsistent:
% 266.86/37.19 ----------------------------------------------------------------
% 266.86/37.19 (1) $i(a1040)
% 266.86/37.19 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.19 c2_1(v0))
% 266.86/37.19 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.19 ndr1_0)
% 266.86/37.19 (4) c3_1(a1040)
% 266.86/37.19 (5) c1_1(a1040)
% 266.86/37.19 (6) ndr1_0
% 266.86/37.19 (7) c0_1(a1040)
% 266.86/37.19
% 266.86/37.19 Begin of proof
% 266.86/37.19 |
% 266.86/37.19 | GROUND_INST: instantiating (2) with a1040, simplifying with (1), (5), (6), (7)
% 266.86/37.19 | gives:
% 266.86/37.19 | (8) c2_1(a1040)
% 266.86/37.19 |
% 266.86/37.19 | GROUND_INST: instantiating (3) with a1040, simplifying with (1), (4), (6),
% 266.86/37.19 | (7), (8) gives:
% 266.86/37.19 | (9) $false
% 266.86/37.19 |
% 266.86/37.19 | CLOSE: (9) is inconsistent.
% 266.86/37.19 |
% 266.86/37.19 End of proof
% 266.86/37.19
% 266.86/37.19 Sub-proof #77 shows that the following formulas are inconsistent:
% 266.86/37.19 ----------------------------------------------------------------
% 266.86/37.19 (1) c2_1(a1000) & c0_1(a1000) & ndr1_0 & ~ c3_1(a1000)
% 266.86/37.19 (2) $i(a1010)
% 266.86/37.19 (3) ~ c1_1(a1010)
% 266.86/37.19 (4) c1_1(a1048)
% 266.86/37.19 (5) ~ c3_1(a1048)
% 266.86/37.19 (6) c3_1(a1010)
% 266.86/37.19 (7) c0_1(a1010)
% 266.86/37.19 (8) $i(a1048)
% 266.86/37.19 (9) ~ c0_1(a1048)
% 266.86/37.19 (10) $i(a1000)
% 266.86/37.19 (11) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.19 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.19 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.19 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.19
% 266.86/37.19 Begin of proof
% 266.86/37.19 |
% 266.86/37.19 | ALPHA: (1) implies:
% 266.86/37.19 | (12) ~ c3_1(a1000)
% 266.86/37.19 | (13) ndr1_0
% 266.86/37.19 | (14) c0_1(a1000)
% 266.86/37.19 | (15) c2_1(a1000)
% 266.86/37.19 |
% 266.86/37.19 | BETA: splitting (11) gives:
% 266.86/37.19 |
% 266.86/37.19 | Case 1:
% 266.86/37.19 | |
% 266.86/37.19 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.19 | | c0_1(v0))
% 266.86/37.19 | |
% 266.86/37.19 | | GROUND_INST: instantiating (16) with a1048, simplifying with (4), (5), (8),
% 266.86/37.19 | | (9), (13) gives:
% 266.86/37.19 | | (17) $false
% 266.86/37.19 | |
% 266.86/37.19 | | CLOSE: (17) is inconsistent.
% 266.86/37.19 | |
% 266.86/37.19 | Case 2:
% 266.86/37.19 | |
% 266.86/37.19 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.19 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 266.86/37.19 | | ~ ndr1_0 | c3_1(v0))
% 266.86/37.19 | |
% 266.86/37.19 | | BETA: splitting (18) gives:
% 266.86/37.19 | |
% 266.86/37.19 | | Case 1:
% 266.86/37.19 | | |
% 266.86/37.19 | | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.19 | | | c1_1(v0))
% 266.86/37.19 | | |
% 266.86/37.19 | | | GROUND_INST: instantiating (19) with a1010, simplifying with (2), (3),
% 266.86/37.19 | | | (6), (7), (13) gives:
% 266.86/37.19 | | | (20) $false
% 266.86/37.19 | | |
% 266.86/37.19 | | | CLOSE: (20) is inconsistent.
% 266.86/37.19 | | |
% 266.86/37.19 | | Case 2:
% 266.86/37.19 | | |
% 266.86/37.19 | | | (21) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.19 | | | c3_1(v0))
% 266.86/37.19 | | |
% 266.86/37.19 | | | GROUND_INST: instantiating (21) with a1000, simplifying with (10), (12),
% 266.86/37.19 | | | (13), (14), (15) gives:
% 266.86/37.19 | | | (22) $false
% 266.86/37.19 | | |
% 266.86/37.19 | | | CLOSE: (22) is inconsistent.
% 266.86/37.19 | | |
% 266.86/37.19 | | End of split
% 266.86/37.19 | |
% 266.86/37.19 | End of split
% 266.86/37.19 |
% 266.86/37.19 End of proof
% 266.86/37.19
% 266.86/37.19 Sub-proof #78 shows that the following formulas are inconsistent:
% 266.86/37.19 ----------------------------------------------------------------
% 266.86/37.19 (1) c1_1(a1041)
% 266.86/37.19 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.19 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.19 c2_1(v0) | c0_1(v0))
% 266.86/37.19 (3) c1_1(a1048)
% 266.86/37.19 (4) c2_1(a1041)
% 266.86/37.19 (5) ~ c0_1(a1041)
% 266.86/37.19 (6) ~ c3_1(a1048)
% 266.86/37.19 (7) $i(a1041)
% 266.86/37.19 (8) $i(a1048)
% 266.86/37.19 (9) ndr1_0
% 266.86/37.19 (10) ~ c0_1(a1048)
% 266.86/37.19 (11) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.19 c3_1(v0))
% 266.86/37.19
% 266.86/37.19 Begin of proof
% 266.86/37.19 |
% 266.86/37.19 | BETA: splitting (2) gives:
% 266.86/37.19 |
% 266.86/37.19 | Case 1:
% 266.86/37.19 | |
% 266.86/37.19 | | (12) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.19 | | c0_1(v0))
% 266.86/37.19 | |
% 266.86/37.19 | | GROUND_INST: instantiating (12) with a1041, simplifying with (1), (4), (5),
% 266.86/37.19 | | (7), (9) gives:
% 266.86/37.19 | | (13) $false
% 266.86/37.19 | |
% 266.86/37.19 | | CLOSE: (13) is inconsistent.
% 266.86/37.19 | |
% 266.86/37.19 | Case 2:
% 266.86/37.19 | |
% 266.86/37.19 | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.19 | | c0_1(v0))
% 266.86/37.19 | |
% 266.86/37.19 | | GROUND_INST: instantiating (14) with a1048, simplifying with (3), (8), (9),
% 266.86/37.19 | | (10) gives:
% 266.86/37.19 | | (15) c2_1(a1048)
% 266.86/37.19 | |
% 266.86/37.19 | | GROUND_INST: instantiating (11) with a1048, simplifying with (3), (6), (8),
% 266.86/37.19 | | (9), (15) gives:
% 266.86/37.19 | | (16) $false
% 266.86/37.19 | |
% 266.86/37.19 | | CLOSE: (16) is inconsistent.
% 266.86/37.19 | |
% 266.86/37.19 | End of split
% 266.86/37.19 |
% 266.86/37.19 End of proof
% 266.86/37.19
% 266.86/37.19 Sub-proof #79 shows that the following formulas are inconsistent:
% 266.86/37.19 ----------------------------------------------------------------
% 266.86/37.19 (1) $i(a1010)
% 266.86/37.19 (2) $i(a1004)
% 266.86/37.19 (3) ~ hskp7
% 266.86/37.19 (4) ~ c1_1(a1010)
% 266.86/37.19 (5) $i(a1029)
% 266.86/37.19 (6) c1_1(a1048)
% 266.86/37.19 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.19 ndr1_0)
% 266.86/37.19 (8) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.86/37.19 (9) ~ c3_1(a1048)
% 266.86/37.19 (10) c3_1(a1010)
% 266.86/37.19 (11) $i(a1041)
% 266.86/37.19 (12) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 266.86/37.20 (13) c0_1(a1010)
% 266.86/37.20 (14) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.20 c0_1(v0) | ~ ndr1_0)
% 266.86/37.20 (15) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 266.86/37.20 (16) $i(a1048)
% 266.86/37.20 (17) hskp21 | hskp7 | hskp4
% 266.86/37.20 (18) ~ c0_1(a1048)
% 266.86/37.20 (19) $i(a1044)
% 266.86/37.20 (20) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.20 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.20 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.20 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.20 (21) ~ c3_1(a1044)
% 266.86/37.20 (22) ~ hskp2
% 266.86/37.20 (23) ~ hskp26
% 266.86/37.20 (24) c1_1(a1044)
% 266.86/37.20 (25) c0_1(a1044)
% 266.86/37.20 (26) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.20 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.20 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.20 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.20 (27) hskp27 | hskp26 | hskp7
% 266.86/37.20 (28) hskp2 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 266.86/37.20 c2_1(v0)) | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0)
% 266.86/37.20 | c0_1(v0))
% 266.86/37.20
% 266.86/37.20 Begin of proof
% 266.86/37.20 |
% 266.86/37.20 | BETA: splitting (27) gives:
% 266.86/37.20 |
% 266.86/37.20 | Case 1:
% 266.86/37.20 | |
% 266.86/37.20 | | (29) hskp7
% 266.86/37.20 | |
% 266.86/37.20 | | PRED_UNIFY: (3), (29) imply:
% 266.86/37.20 | | (30) $false
% 266.86/37.20 | |
% 266.86/37.20 | | CLOSE: (30) is inconsistent.
% 266.86/37.20 | |
% 266.86/37.20 | Case 2:
% 266.86/37.20 | |
% 266.86/37.20 | | (31) hskp27 | hskp26
% 266.86/37.20 | |
% 266.86/37.20 | | BETA: splitting (31) gives:
% 266.86/37.20 | |
% 266.86/37.20 | | Case 1:
% 266.86/37.20 | | |
% 266.86/37.20 | | | (32) hskp26
% 266.86/37.20 | | |
% 266.86/37.20 | | | PRED_UNIFY: (23), (32) imply:
% 266.86/37.20 | | | (33) $false
% 266.86/37.20 | | |
% 266.86/37.20 | | | CLOSE: (33) is inconsistent.
% 266.86/37.20 | | |
% 266.86/37.20 | | Case 2:
% 266.86/37.20 | | |
% 266.86/37.20 | | | (34) hskp27
% 266.86/37.20 | | |
% 266.86/37.20 | | | BETA: splitting (12) gives:
% 266.86/37.20 | | |
% 266.86/37.20 | | | Case 1:
% 266.86/37.20 | | | |
% 266.86/37.20 | | | | (35) ~ hskp27
% 266.86/37.20 | | | |
% 266.86/37.20 | | | | PRED_UNIFY: (34), (35) imply:
% 266.86/37.20 | | | | (36) $false
% 266.86/37.20 | | | |
% 266.86/37.20 | | | | CLOSE: (36) is inconsistent.
% 266.86/37.20 | | | |
% 266.86/37.20 | | | Case 2:
% 266.86/37.20 | | | |
% 266.86/37.20 | | | | (37) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 266.86/37.20 | | | |
% 266.86/37.20 | | | | ALPHA: (37) implies:
% 266.86/37.20 | | | | (38) ndr1_0
% 266.86/37.20 | | | | (39) c0_1(a1029)
% 266.86/37.20 | | | | (40) c2_1(a1029)
% 266.86/37.20 | | | |
% 266.86/37.20 | | | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11),
% 266.86/37.20 | | | | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22),
% 266.86/37.20 | | | | (24), (25), (26), (28), (38), (39), (40) are inconsistent by
% 266.86/37.20 | | | | sub-proof #88.
% 266.86/37.20 | | | |
% 266.86/37.20 | | | End of split
% 266.86/37.20 | | |
% 266.86/37.20 | | End of split
% 266.86/37.20 | |
% 266.86/37.20 | End of split
% 266.86/37.20 |
% 266.86/37.20 End of proof
% 266.86/37.20
% 266.86/37.20 Sub-proof #80 shows that the following formulas are inconsistent:
% 266.86/37.20 ----------------------------------------------------------------
% 266.86/37.20 (1) $i(a1026)
% 266.86/37.20 (2) c2_1(a1026) & ndr1_0 & ~ c1_1(a1026) & ~ c0_1(a1026)
% 266.86/37.20 (3) ~ c2_1(a1006)
% 266.86/37.20 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.20 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.20 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.20 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.20 (5) c3_1(a1006)
% 266.86/37.20 (6) $i(a1004)
% 266.86/37.20 (7) c2_1(a1001)
% 266.86/37.20 (8) hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.20 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.20 c1_1(v0) | c0_1(v0))
% 266.86/37.20 (9) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.86/37.20 (10) ~ c1_1(a1001)
% 266.86/37.20 (11) $i(a1001)
% 266.86/37.20 (12) c3_1(a1001)
% 266.86/37.20 (13) $i(a1006)
% 266.86/37.20 (14) c0_1(a1006)
% 266.86/37.20
% 266.86/37.20 Begin of proof
% 266.86/37.20 |
% 266.86/37.20 | ALPHA: (2) implies:
% 266.86/37.20 | (15) ~ c0_1(a1026)
% 266.86/37.20 | (16) ~ c1_1(a1026)
% 266.86/37.20 | (17) ndr1_0
% 266.86/37.20 | (18) c2_1(a1026)
% 266.86/37.20 |
% 266.86/37.20 | BETA: splitting (9) gives:
% 266.86/37.20 |
% 266.86/37.20 | Case 1:
% 266.86/37.20 | |
% 266.86/37.20 | | (19) ~ hskp4
% 266.86/37.20 | |
% 266.86/37.20 | | REF_CLOSE: (1), (3), (5), (8), (13), (14), (15), (16), (17), (18), (19) are
% 266.86/37.20 | | inconsistent by sub-proof #82.
% 266.86/37.20 | |
% 266.86/37.20 | Case 2:
% 266.86/37.20 | |
% 266.86/37.20 | | (20) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004)
% 266.86/37.20 | |
% 266.86/37.20 | | REF_CLOSE: (3), (4), (5), (6), (7), (10), (11), (12), (13), (14), (20) are
% 266.86/37.20 | | inconsistent by sub-proof #81.
% 266.86/37.20 | |
% 266.86/37.20 | End of split
% 266.86/37.20 |
% 266.86/37.20 End of proof
% 266.86/37.20
% 266.86/37.20 Sub-proof #81 shows that the following formulas are inconsistent:
% 266.86/37.20 ----------------------------------------------------------------
% 266.86/37.20 (1) ~ c2_1(a1006)
% 266.86/37.20 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.20 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.20 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.20 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.20 (3) c3_1(a1006)
% 266.86/37.20 (4) $i(a1004)
% 266.86/37.20 (5) c2_1(a1001)
% 266.86/37.20 (6) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004)
% 266.86/37.20 (7) ~ c1_1(a1001)
% 266.86/37.20 (8) $i(a1001)
% 266.86/37.20 (9) c3_1(a1001)
% 266.86/37.20 (10) $i(a1006)
% 266.86/37.20 (11) c0_1(a1006)
% 266.86/37.20
% 266.86/37.20 Begin of proof
% 266.86/37.20 |
% 266.86/37.20 | ALPHA: (6) implies:
% 266.86/37.20 | (12) ~ c3_1(a1004)
% 266.86/37.20 | (13) ndr1_0
% 266.86/37.20 | (14) c2_1(a1004)
% 266.86/37.20 | (15) c1_1(a1004)
% 266.86/37.20 |
% 266.86/37.20 | BETA: splitting (2) gives:
% 266.86/37.20 |
% 266.86/37.20 | Case 1:
% 266.86/37.20 | |
% 266.86/37.20 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.20 | | c3_1(v0))
% 266.86/37.20 | |
% 266.86/37.20 | | GROUND_INST: instantiating (16) with a1004, simplifying with (4), (12),
% 266.86/37.20 | | (13), (14), (15) gives:
% 266.86/37.20 | | (17) $false
% 266.86/37.20 | |
% 266.86/37.20 | | CLOSE: (17) is inconsistent.
% 266.86/37.20 | |
% 266.86/37.20 | Case 2:
% 266.86/37.20 | |
% 266.86/37.20 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.20 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.20 | | ~ ndr1_0 | c2_1(v0))
% 266.86/37.20 | |
% 266.86/37.20 | | REF_CLOSE: (1), (3), (5), (7), (8), (9), (10), (11), (13), (18) are
% 266.86/37.20 | | inconsistent by sub-proof #99.
% 266.86/37.20 | |
% 266.86/37.20 | End of split
% 266.86/37.20 |
% 266.86/37.20 End of proof
% 266.86/37.20
% 266.86/37.20 Sub-proof #82 shows that the following formulas are inconsistent:
% 266.86/37.20 ----------------------------------------------------------------
% 266.86/37.20 (1) $i(a1026)
% 266.86/37.20 (2) ~ c2_1(a1006)
% 266.86/37.20 (3) c3_1(a1006)
% 266.86/37.20 (4) hskp4 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.20 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.20 c1_1(v0) | c0_1(v0))
% 266.86/37.20 (5) c2_1(a1026)
% 266.86/37.20 (6) ~ c0_1(a1026)
% 266.86/37.20 (7) ndr1_0
% 266.86/37.20 (8) ~ c1_1(a1026)
% 266.86/37.20 (9) ~ hskp4
% 266.86/37.20 (10) $i(a1006)
% 266.86/37.20 (11) c0_1(a1006)
% 266.86/37.20
% 266.86/37.20 Begin of proof
% 266.86/37.20 |
% 266.86/37.20 | BETA: splitting (4) gives:
% 266.86/37.20 |
% 266.86/37.20 | Case 1:
% 266.86/37.20 | |
% 266.86/37.20 | | (12) hskp4
% 266.86/37.20 | |
% 266.86/37.20 | | PRED_UNIFY: (9), (12) imply:
% 266.86/37.20 | | (13) $false
% 266.86/37.20 | |
% 266.86/37.20 | | CLOSE: (13) is inconsistent.
% 266.86/37.20 | |
% 266.86/37.20 | Case 2:
% 266.86/37.20 | |
% 266.86/37.20 | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.20 | | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.20 | | c1_1(v0) | c0_1(v0))
% 266.86/37.20 | |
% 266.86/37.20 | | BETA: splitting (14) gives:
% 266.86/37.20 | |
% 266.86/37.20 | | Case 1:
% 266.86/37.20 | | |
% 266.86/37.20 | | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.20 | | | c2_1(v0))
% 266.86/37.20 | | |
% 266.86/37.20 | | | GROUND_INST: instantiating (15) with a1006, simplifying with (2), (3),
% 266.86/37.20 | | | (7), (10), (11) gives:
% 266.86/37.20 | | | (16) $false
% 266.86/37.20 | | |
% 266.86/37.20 | | | CLOSE: (16) is inconsistent.
% 266.86/37.20 | | |
% 266.86/37.20 | | Case 2:
% 266.86/37.20 | | |
% 266.86/37.20 | | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.20 | | | c0_1(v0))
% 266.86/37.20 | | |
% 266.86/37.20 | | | GROUND_INST: instantiating (17) with a1026, simplifying with (1), (5),
% 266.86/37.20 | | | (6), (7), (8) gives:
% 266.86/37.20 | | | (18) $false
% 266.86/37.20 | | |
% 266.86/37.20 | | | CLOSE: (18) is inconsistent.
% 266.86/37.20 | | |
% 266.86/37.20 | | End of split
% 266.86/37.20 | |
% 266.86/37.20 | End of split
% 266.86/37.20 |
% 266.86/37.20 End of proof
% 266.86/37.20
% 266.86/37.20 Sub-proof #83 shows that the following formulas are inconsistent:
% 266.86/37.20 ----------------------------------------------------------------
% 266.86/37.20 (1) $i(a1010)
% 266.86/37.20 (2) ~ hskp15
% 266.86/37.20 (3) $i(a1045)
% 266.86/37.20 (4) ~ c1_1(a1010)
% 266.86/37.20 (5) c1_1(a1048)
% 266.86/37.20 (6) hskp24 | hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.20 ~ ndr1_0 | c1_1(v0))
% 266.86/37.20 (7) ~ c3_1(a1048)
% 266.86/37.20 (8) c3_1(a1010)
% 266.86/37.20 (9) c0_1(a1010)
% 266.86/37.20 (10) $i(a1048)
% 266.86/37.20 (11) ndr1_0
% 266.86/37.20 (12) ~ c0_1(a1048)
% 266.86/37.21 (13) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.86/37.21 (14) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.21 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.86/37.21 ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.86/37.21 (15) ~ hskp11
% 266.86/37.21
% 266.86/37.21 Begin of proof
% 266.86/37.21 |
% 266.86/37.21 | BETA: splitting (13) gives:
% 266.86/37.21 |
% 266.86/37.21 | Case 1:
% 266.86/37.21 | |
% 266.86/37.21 | | (16) ~ hskp24
% 266.86/37.21 | |
% 266.86/37.21 | | REF_CLOSE: (1), (2), (4), (6), (8), (9), (11), (16) are inconsistent by
% 266.86/37.21 | | sub-proof #84.
% 266.86/37.21 | |
% 266.86/37.21 | Case 2:
% 266.86/37.21 | |
% 266.86/37.21 | | (17) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.86/37.21 | |
% 266.86/37.21 | | ALPHA: (17) implies:
% 266.86/37.21 | | (18) ~ c0_1(a1045)
% 266.86/37.21 | | (19) c3_1(a1045)
% 266.86/37.21 | | (20) c1_1(a1045)
% 266.86/37.21 | |
% 266.86/37.21 | | REF_CLOSE: (3), (5), (7), (10), (11), (12), (14), (15), (18), (19), (20) are
% 266.86/37.21 | | inconsistent by sub-proof #105.
% 266.86/37.21 | |
% 266.86/37.21 | End of split
% 266.86/37.21 |
% 266.86/37.21 End of proof
% 266.86/37.21
% 266.86/37.21 Sub-proof #84 shows that the following formulas are inconsistent:
% 266.86/37.21 ----------------------------------------------------------------
% 266.86/37.21 (1) $i(a1010)
% 266.86/37.21 (2) ~ hskp15
% 266.86/37.21 (3) ~ c1_1(a1010)
% 266.86/37.21 (4) hskp24 | hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.21 ~ ndr1_0 | c1_1(v0))
% 266.86/37.21 (5) ~ hskp24
% 266.86/37.21 (6) c3_1(a1010)
% 266.86/37.21 (7) c0_1(a1010)
% 266.86/37.21 (8) ndr1_0
% 266.86/37.21
% 266.86/37.21 Begin of proof
% 266.86/37.21 |
% 266.86/37.21 | BETA: splitting (4) gives:
% 266.86/37.21 |
% 266.86/37.21 | Case 1:
% 266.86/37.21 | |
% 266.86/37.21 | | (9) hskp24
% 266.86/37.21 | |
% 266.86/37.21 | | PRED_UNIFY: (5), (9) imply:
% 266.86/37.21 | | (10) $false
% 266.86/37.21 | |
% 266.86/37.21 | | CLOSE: (10) is inconsistent.
% 266.86/37.21 | |
% 266.86/37.21 | Case 2:
% 266.86/37.21 | |
% 266.86/37.21 | | (11) hskp15 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.21 | | ndr1_0 | c1_1(v0))
% 266.86/37.21 | |
% 266.86/37.21 | | BETA: splitting (11) gives:
% 266.86/37.21 | |
% 266.86/37.21 | | Case 1:
% 266.86/37.21 | | |
% 266.86/37.21 | | | (12) hskp15
% 266.86/37.21 | | |
% 266.86/37.21 | | | PRED_UNIFY: (2), (12) imply:
% 266.86/37.21 | | | (13) $false
% 266.86/37.21 | | |
% 266.86/37.21 | | | CLOSE: (13) is inconsistent.
% 266.86/37.21 | | |
% 266.86/37.21 | | Case 2:
% 266.86/37.21 | | |
% 266.86/37.21 | | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.21 | | | c1_1(v0))
% 266.86/37.21 | | |
% 266.86/37.21 | | | GROUND_INST: instantiating (14) with a1010, simplifying with (1), (3),
% 266.86/37.21 | | | (6), (7), (8) gives:
% 266.86/37.21 | | | (15) $false
% 266.86/37.21 | | |
% 266.86/37.21 | | | CLOSE: (15) is inconsistent.
% 266.86/37.21 | | |
% 266.86/37.21 | | End of split
% 266.86/37.21 | |
% 266.86/37.21 | End of split
% 266.86/37.21 |
% 266.86/37.21 End of proof
% 266.86/37.21
% 266.86/37.21 Sub-proof #85 shows that the following formulas are inconsistent:
% 266.86/37.21 ----------------------------------------------------------------
% 266.86/37.21 (1) ~ c2_1(a1006)
% 266.86/37.21 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.21 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.21 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.21 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.21 (3) c3_1(a1006)
% 266.86/37.21 (4) ~ hskp7
% 266.86/37.21 (5) hskp8 | hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.21 c2_1(v0) | c0_1(v0))
% 266.86/37.21 (6) c2_1(a1001)
% 266.86/37.21 (7) c1_1(a1048)
% 266.86/37.21 (8) ~ c3_1(a1048)
% 266.86/37.21 (9) ~ hskp8
% 266.86/37.21 (10) ~ c1_1(a1001)
% 266.86/37.21 (11) $i(a1001)
% 266.86/37.21 (12) $i(a1048)
% 266.86/37.21 (13) ndr1_0
% 266.86/37.21 (14) ~ c0_1(a1048)
% 266.86/37.21 (15) c3_1(a1001)
% 266.86/37.21 (16) $i(a1006)
% 266.86/37.21 (17) c0_1(a1006)
% 266.86/37.21
% 266.86/37.21 Begin of proof
% 266.86/37.21 |
% 266.86/37.21 | BETA: splitting (5) gives:
% 266.86/37.21 |
% 266.86/37.21 | Case 1:
% 266.86/37.21 | |
% 266.86/37.21 | | (18) hskp7
% 266.86/37.21 | |
% 266.86/37.21 | | PRED_UNIFY: (4), (18) imply:
% 266.86/37.21 | | (19) $false
% 266.86/37.21 | |
% 266.86/37.21 | | CLOSE: (19) is inconsistent.
% 266.86/37.21 | |
% 266.86/37.21 | Case 2:
% 266.86/37.21 | |
% 266.86/37.21 | | (20) hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.21 | | c2_1(v0) | c0_1(v0))
% 266.86/37.21 | |
% 266.86/37.21 | | BETA: splitting (20) gives:
% 266.86/37.21 | |
% 266.86/37.21 | | Case 1:
% 266.86/37.21 | | |
% 266.86/37.21 | | | (21) hskp8
% 266.86/37.21 | | |
% 266.86/37.21 | | | PRED_UNIFY: (9), (21) imply:
% 266.86/37.21 | | | (22) $false
% 266.86/37.21 | | |
% 266.86/37.21 | | | CLOSE: (22) is inconsistent.
% 266.86/37.21 | | |
% 266.86/37.21 | | Case 2:
% 266.86/37.21 | | |
% 266.86/37.21 | | | (23) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.21 | | | c0_1(v0))
% 266.86/37.21 | | |
% 266.86/37.21 | | | GROUND_INST: instantiating (23) with a1048, simplifying with (7), (12),
% 266.86/37.21 | | | (13), (14) gives:
% 266.86/37.21 | | | (24) c2_1(a1048)
% 266.86/37.21 | | |
% 266.86/37.21 | | | BETA: splitting (2) gives:
% 266.86/37.21 | | |
% 266.86/37.21 | | | Case 1:
% 266.86/37.21 | | | |
% 266.86/37.21 | | | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.86/37.21 | | | | | c3_1(v0))
% 266.86/37.21 | | | |
% 266.86/37.21 | | | | GROUND_INST: instantiating (25) with a1048, simplifying with (7), (8),
% 266.86/37.21 | | | | (12), (13), (24) gives:
% 266.86/37.21 | | | | (26) $false
% 266.86/37.21 | | | |
% 266.86/37.21 | | | | CLOSE: (26) is inconsistent.
% 266.86/37.21 | | | |
% 266.86/37.21 | | | Case 2:
% 266.86/37.21 | | | |
% 266.86/37.21 | | | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.86/37.21 | | | | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.21 | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.21 | | | |
% 266.86/37.21 | | | | REF_CLOSE: (1), (3), (6), (10), (11), (13), (15), (16), (17), (27) are
% 266.86/37.21 | | | | inconsistent by sub-proof #99.
% 266.86/37.21 | | | |
% 266.86/37.21 | | | End of split
% 266.86/37.21 | | |
% 266.86/37.21 | | End of split
% 266.86/37.21 | |
% 266.86/37.21 | End of split
% 266.86/37.21 |
% 266.86/37.21 End of proof
% 266.86/37.21
% 266.86/37.21 Sub-proof #86 shows that the following formulas are inconsistent:
% 266.86/37.21 ----------------------------------------------------------------
% 266.86/37.21 (1) hskp28 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.21 c1_1(v0) | c2_1(v0))
% 266.86/37.21 (2) ~ hskp13 | (c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~ c2_1(a1023))
% 266.86/37.21 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.21 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.21 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.21 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.21 (4) $i(a1010)
% 266.86/37.21 (5) $i(a1004)
% 266.86/37.21 (6) ~ hskp7
% 266.86/37.21 (7) c2_1(a1001)
% 266.86/37.21 (8) $i(a1023)
% 266.86/37.21 (9) ~ hskp6
% 266.86/37.21 (10) ~ c1_1(a1010)
% 266.86/37.21 (11) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 266.86/37.21 (12) $i(a1025)
% 266.86/37.21 (13) $i(a1029)
% 266.86/37.21 (14) c1_1(a1048)
% 266.86/37.21 (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.21 ndr1_0)
% 266.86/37.21 (16) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.86/37.21 (17) ~ c3_1(a1048)
% 266.86/37.21 (18) c3_1(a1010)
% 266.86/37.21 (19) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004)
% 266.86/37.21 (20) $i(a1041)
% 266.86/37.21 (21) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 266.86/37.21 (22) ~ hskp28 | (c1_1(a1033) & c2_1(a1033) & c0_1(a1033) & ndr1_0)
% 266.86/37.21 (23) c0_1(a1010)
% 266.86/37.21 (24) ~ c1_1(a1001)
% 266.86/37.21 (25) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.21 c0_1(v0) | ~ ndr1_0)
% 266.86/37.21 (26) hskp13 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.86/37.21 ~ ndr1_0 | c2_1(v0))
% 266.86/37.21 (27) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 266.86/37.21 (28) $i(a1001)
% 266.86/37.21 (29) $i(a1048)
% 266.86/37.21 (30) hskp21 | hskp7 | hskp4
% 266.86/37.21 (31) ~ c0_1(a1048)
% 266.86/37.21 (32) $i(a1044)
% 266.86/37.21 (33) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.21 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.21 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.21 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.21 (34) ~ hskp8 | (c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010))
% 266.86/37.21 (35) ~ c3_1(a1044)
% 266.86/37.21 (36) hskp27 | hskp14 | hskp6
% 266.86/37.21 (37) ~ hskp2
% 266.86/37.21 (38) c3_1(a1001)
% 266.86/37.21 (39) c1_1(a1044)
% 266.86/37.21 (40) c0_1(a1044)
% 266.86/37.21 (41) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.21 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.21 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.21 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.21 (42) hskp2 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 266.86/37.21 c2_1(v0)) | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0)
% 266.86/37.21 | c0_1(v0))
% 266.86/37.21 (43) $i(a1033)
% 266.86/37.21
% 266.86/37.21 Begin of proof
% 266.86/37.22 |
% 266.86/37.22 | ALPHA: (19) implies:
% 266.86/37.22 | (44) ~ c3_1(a1004)
% 266.86/37.22 | (45) ndr1_0
% 266.86/37.22 | (46) c2_1(a1004)
% 266.86/37.22 | (47) c1_1(a1004)
% 266.86/37.22 |
% 266.86/37.22 | BETA: splitting (21) gives:
% 266.86/37.22 |
% 266.86/37.22 | Case 1:
% 266.86/37.22 | |
% 266.86/37.22 | | (48) ~ hskp27
% 266.86/37.22 | |
% 266.86/37.22 | | BETA: splitting (33) gives:
% 266.86/37.22 | |
% 266.86/37.22 | | Case 1:
% 266.86/37.22 | | |
% 266.86/37.22 | | | (49) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.22 | | | c1_1(v0))
% 266.86/37.22 | | |
% 266.86/37.22 | | | REF_CLOSE: (3), (4), (5), (7), (10), (18), (23), (24), (28), (38), (44),
% 266.86/37.22 | | | (45), (46), (47), (49) are inconsistent by sub-proof #90.
% 266.86/37.22 | | |
% 266.86/37.22 | | Case 2:
% 266.86/37.22 | | |
% 266.86/37.22 | | | (50) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.22 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.22 | | | c3_1(v0) | c2_1(v0))
% 266.86/37.22 | | |
% 266.86/37.22 | | | BETA: splitting (50) gives:
% 266.86/37.22 | | |
% 266.86/37.22 | | | Case 1:
% 266.86/37.22 | | | |
% 266.86/37.22 | | | | (51) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.22 | | | | c0_1(v0))
% 266.86/37.22 | | | |
% 266.86/37.22 | | | | REF_CLOSE: (4), (5), (6), (10), (14), (16), (17), (18), (20), (23),
% 266.86/37.22 | | | | (27), (29), (30), (31), (37), (41), (42), (51) are
% 266.86/37.22 | | | | inconsistent by sub-proof #107.
% 266.86/37.22 | | | |
% 266.86/37.22 | | | Case 2:
% 266.86/37.22 | | | |
% 266.86/37.22 | | | | (52) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.22 | | | | c2_1(v0))
% 266.86/37.22 | | | |
% 266.86/37.22 | | | | REF_CLOSE: (9), (11), (12), (36), (48), (52) are inconsistent by
% 266.86/37.22 | | | | sub-proof #153.
% 266.86/37.22 | | | |
% 266.86/37.22 | | | End of split
% 266.86/37.22 | | |
% 266.86/37.22 | | End of split
% 266.86/37.22 | |
% 266.86/37.22 | Case 2:
% 266.86/37.22 | |
% 266.86/37.22 | | (53) hskp27
% 266.86/37.22 | |
% 266.86/37.22 | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (9), (13), (14), (15), (16), (17),
% 266.86/37.22 | | (20), (21), (22), (25), (26), (27), (29), (30), (31), (32), (33),
% 266.86/37.22 | | (34), (35), (37), (39), (40), (41), (42), (43), (53) are
% 266.86/37.22 | | inconsistent by sub-proof #87.
% 266.86/37.22 | |
% 266.86/37.22 | End of split
% 266.86/37.22 |
% 266.86/37.22 End of proof
% 266.86/37.22
% 266.86/37.22 Sub-proof #87 shows that the following formulas are inconsistent:
% 266.86/37.22 ----------------------------------------------------------------
% 266.86/37.22 (1) hskp28 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.22 c1_1(v0) | c2_1(v0))
% 266.86/37.22 (2) ~ hskp13 | (c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~ c2_1(a1023))
% 266.86/37.22 (3) $i(a1010)
% 266.86/37.22 (4) $i(a1004)
% 266.86/37.22 (5) ~ hskp7
% 266.86/37.22 (6) $i(a1023)
% 266.86/37.22 (7) ~ hskp6
% 266.86/37.22 (8) $i(a1029)
% 266.86/37.22 (9) c1_1(a1048)
% 266.86/37.22 (10) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.22 ndr1_0)
% 266.86/37.22 (11) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.86/37.22 (12) ~ c3_1(a1048)
% 266.86/37.22 (13) $i(a1041)
% 266.86/37.22 (14) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 266.86/37.22 (15) ~ hskp28 | (c1_1(a1033) & c2_1(a1033) & c0_1(a1033) & ndr1_0)
% 266.86/37.22 (16) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.22 c0_1(v0) | ~ ndr1_0)
% 266.86/37.22 (17) hskp13 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.86/37.22 ~ ndr1_0 | c2_1(v0))
% 266.86/37.22 (18) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 266.86/37.22 (19) $i(a1048)
% 266.86/37.22 (20) hskp27
% 266.86/37.22 (21) hskp21 | hskp7 | hskp4
% 266.86/37.22 (22) ~ c0_1(a1048)
% 266.86/37.22 (23) $i(a1044)
% 266.86/37.22 (24) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.22 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.22 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.22 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.22 (25) ~ hskp8 | (c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010))
% 266.86/37.22 (26) ~ c3_1(a1044)
% 266.86/37.22 (27) ~ hskp2
% 266.86/37.22 (28) c1_1(a1044)
% 266.86/37.22 (29) c0_1(a1044)
% 266.86/37.22 (30) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.22 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.22 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.22 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.22 (31) hskp2 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 266.86/37.22 c2_1(v0)) | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0)
% 266.86/37.22 | c0_1(v0))
% 266.86/37.22 (32) $i(a1033)
% 266.86/37.22
% 266.86/37.22 Begin of proof
% 266.86/37.22 |
% 266.86/37.22 | BETA: splitting (14) gives:
% 266.86/37.22 |
% 266.86/37.22 | Case 1:
% 266.86/37.22 | |
% 266.86/37.22 | | (33) ~ hskp27
% 266.86/37.22 | |
% 266.86/37.22 | | PRED_UNIFY: (20), (33) imply:
% 266.86/37.22 | | (34) $false
% 266.86/37.22 | |
% 266.86/37.22 | | CLOSE: (34) is inconsistent.
% 266.86/37.22 | |
% 266.86/37.22 | Case 2:
% 266.86/37.22 | |
% 266.86/37.22 | | (35) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 266.86/37.22 | |
% 266.86/37.22 | | ALPHA: (35) implies:
% 266.86/37.22 | | (36) ndr1_0
% 266.86/37.22 | | (37) c0_1(a1029)
% 266.86/37.22 | | (38) c2_1(a1029)
% 266.86/37.22 | |
% 266.86/37.22 | | BETA: splitting (2) gives:
% 266.86/37.22 | |
% 266.86/37.22 | | Case 1:
% 266.86/37.22 | | |
% 266.86/37.22 | | | (39) ~ hskp13
% 266.86/37.22 | | |
% 266.86/37.22 | | | REF_CLOSE: (7), (10), (17), (23), (28), (29), (36), (39) are inconsistent
% 266.86/37.22 | | | by sub-proof #95.
% 266.86/37.22 | | |
% 266.86/37.22 | | Case 2:
% 266.86/37.22 | | |
% 266.86/37.22 | | | (40) c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~ c2_1(a1023)
% 266.86/37.22 | | |
% 266.86/37.22 | | | ALPHA: (40) implies:
% 266.86/37.22 | | | (41) ~ c2_1(a1023)
% 266.86/37.22 | | | (42) ~ c1_1(a1023)
% 266.86/37.22 | | | (43) c3_1(a1023)
% 266.86/37.22 | | |
% 266.86/37.22 | | | BETA: splitting (25) gives:
% 266.86/37.22 | | |
% 266.86/37.22 | | | Case 1:
% 266.86/37.22 | | | |
% 266.86/37.22 | | | | (44) ~ hskp8
% 266.86/37.22 | | | |
% 266.86/37.22 | | | | REF_CLOSE: (1), (6), (10), (15), (32), (36), (41), (42), (43), (44) are
% 266.86/37.22 | | | | inconsistent by sub-proof #94.
% 266.86/37.22 | | | |
% 266.86/37.22 | | | Case 2:
% 266.86/37.22 | | | |
% 266.86/37.22 | | | | (45) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 266.86/37.22 | | | |
% 266.86/37.22 | | | | ALPHA: (45) implies:
% 266.86/37.22 | | | | (46) ~ c1_1(a1010)
% 266.86/37.22 | | | | (47) c0_1(a1010)
% 266.86/37.22 | | | | (48) c3_1(a1010)
% 266.86/37.22 | | | |
% 266.86/37.22 | | | | REF_CLOSE: (3), (4), (5), (8), (9), (10), (11), (12), (13), (16), (18),
% 266.86/37.22 | | | | (19), (21), (22), (23), (24), (26), (27), (28), (29), (30),
% 266.86/37.22 | | | | (31), (36), (37), (38), (46), (47), (48) are inconsistent by
% 266.86/37.22 | | | | sub-proof #88.
% 266.86/37.22 | | | |
% 266.86/37.22 | | | End of split
% 266.86/37.22 | | |
% 266.86/37.22 | | End of split
% 266.86/37.22 | |
% 266.86/37.22 | End of split
% 266.86/37.22 |
% 266.86/37.22 End of proof
% 266.86/37.22
% 266.86/37.22 Sub-proof #88 shows that the following formulas are inconsistent:
% 266.86/37.22 ----------------------------------------------------------------
% 266.86/37.22 (1) $i(a1010)
% 266.86/37.22 (2) $i(a1004)
% 266.86/37.22 (3) ~ hskp7
% 266.86/37.22 (4) ~ c1_1(a1010)
% 266.86/37.22 (5) $i(a1029)
% 266.86/37.22 (6) c1_1(a1048)
% 266.86/37.22 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.22 ndr1_0)
% 266.86/37.22 (8) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.86/37.22 (9) ~ c3_1(a1048)
% 266.86/37.22 (10) c3_1(a1010)
% 266.86/37.22 (11) $i(a1041)
% 266.86/37.22 (12) c0_1(a1010)
% 266.86/37.22 (13) c0_1(a1029)
% 266.86/37.22 (14) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.22 c0_1(v0) | ~ ndr1_0)
% 266.86/37.22 (15) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 266.86/37.22 (16) $i(a1048)
% 266.86/37.22 (17) hskp21 | hskp7 | hskp4
% 266.86/37.22 (18) ndr1_0
% 266.86/37.22 (19) ~ c0_1(a1048)
% 266.86/37.22 (20) $i(a1044)
% 266.86/37.22 (21) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.22 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.22 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.22 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.22 (22) ~ c3_1(a1044)
% 266.86/37.22 (23) ~ hskp2
% 266.86/37.22 (24) c1_1(a1044)
% 266.86/37.22 (25) c0_1(a1044)
% 266.86/37.22 (26) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.22 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.22 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.22 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.22 (27) hskp2 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 266.86/37.22 c2_1(v0)) | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0)
% 266.86/37.22 | c0_1(v0))
% 266.86/37.22 (28) c2_1(a1029)
% 266.86/37.22
% 266.86/37.22 Begin of proof
% 266.86/37.22 |
% 266.86/37.22 | BETA: splitting (21) gives:
% 266.86/37.22 |
% 266.86/37.22 | Case 1:
% 266.86/37.22 | |
% 266.86/37.22 | | (29) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.22 | | c1_1(v0))
% 266.86/37.22 | |
% 266.86/37.22 | | REF_CLOSE: (5), (7), (13), (18), (28), (29) are inconsistent by sub-proof
% 266.86/37.22 | | #89.
% 266.86/37.22 | |
% 266.86/37.22 | Case 2:
% 266.86/37.22 | |
% 266.86/37.22 | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.22 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.22 | | c3_1(v0) | c2_1(v0))
% 266.86/37.22 | |
% 266.86/37.22 | | BETA: splitting (30) gives:
% 266.86/37.22 | |
% 266.86/37.22 | | Case 1:
% 266.86/37.22 | | |
% 266.86/37.22 | | | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.22 | | | c0_1(v0))
% 266.86/37.22 | | |
% 266.86/37.22 | | | REF_CLOSE: (1), (2), (3), (4), (6), (8), (9), (10), (11), (12), (15),
% 266.86/37.22 | | | (16), (17), (19), (23), (26), (27), (31) are inconsistent by
% 266.86/37.22 | | | sub-proof #107.
% 266.86/37.22 | | |
% 266.86/37.22 | | Case 2:
% 266.86/37.22 | | |
% 266.86/37.22 | | | (32) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.22 | | | c2_1(v0))
% 266.86/37.22 | | |
% 266.86/37.23 | | | GROUND_INST: instantiating (32) with a1044, simplifying with (18), (20),
% 266.86/37.23 | | | (22), (25) gives:
% 266.86/37.23 | | | (33) c2_1(a1044)
% 266.86/37.23 | | |
% 266.86/37.23 | | | REF_CLOSE: (3), (14), (18), (20), (24), (25), (33) are inconsistent by
% 266.86/37.23 | | | sub-proof #156.
% 266.86/37.23 | | |
% 266.86/37.23 | | End of split
% 266.86/37.23 | |
% 266.86/37.23 | End of split
% 266.86/37.23 |
% 266.86/37.23 End of proof
% 266.86/37.23
% 266.86/37.23 Sub-proof #89 shows that the following formulas are inconsistent:
% 266.86/37.23 ----------------------------------------------------------------
% 266.86/37.23 (1) $i(a1029)
% 266.86/37.23 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.23 ndr1_0)
% 266.86/37.23 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.23 c1_1(v0))
% 266.86/37.23 (4) c0_1(a1029)
% 266.86/37.23 (5) ndr1_0
% 266.86/37.23 (6) c2_1(a1029)
% 266.86/37.23
% 266.86/37.23 Begin of proof
% 266.86/37.23 |
% 266.86/37.23 | GROUND_INST: instantiating (3) with a1029, simplifying with (1), (4), (5), (6)
% 266.86/37.23 | gives:
% 266.86/37.23 | (7) c1_1(a1029)
% 266.86/37.23 |
% 266.86/37.23 | GROUND_INST: instantiating (2) with a1029, simplifying with (1), (4), (5),
% 266.86/37.23 | (6), (7) gives:
% 266.86/37.23 | (8) $false
% 266.86/37.23 |
% 266.86/37.23 | CLOSE: (8) is inconsistent.
% 266.86/37.23 |
% 266.86/37.23 End of proof
% 266.86/37.23
% 266.86/37.23 Sub-proof #90 shows that the following formulas are inconsistent:
% 266.86/37.23 ----------------------------------------------------------------
% 266.86/37.23 (1) ~ c3_1(a1004)
% 266.86/37.23 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.23 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.23 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.23 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.23 (3) $i(a1010)
% 266.86/37.23 (4) $i(a1004)
% 266.86/37.23 (5) c2_1(a1004)
% 266.86/37.23 (6) c1_1(a1004)
% 266.86/37.23 (7) c2_1(a1001)
% 266.86/37.23 (8) ~ c1_1(a1010)
% 266.86/37.23 (9) c3_1(a1010)
% 266.86/37.23 (10) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.23 c1_1(v0))
% 266.86/37.23 (11) c0_1(a1010)
% 266.86/37.23 (12) ~ c1_1(a1001)
% 266.86/37.23 (13) $i(a1001)
% 266.86/37.23 (14) ndr1_0
% 266.86/37.23 (15) c3_1(a1001)
% 266.86/37.23
% 266.86/37.23 Begin of proof
% 266.86/37.23 |
% 266.86/37.23 | BETA: splitting (2) gives:
% 266.86/37.23 |
% 266.86/37.23 | Case 1:
% 266.86/37.23 | |
% 266.86/37.23 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.23 | | c3_1(v0))
% 266.86/37.23 | |
% 266.86/37.23 | | GROUND_INST: instantiating (16) with a1004, simplifying with (1), (4), (5),
% 266.86/37.23 | | (6), (14) gives:
% 266.86/37.23 | | (17) $false
% 266.86/37.23 | |
% 266.86/37.23 | | CLOSE: (17) is inconsistent.
% 266.86/37.23 | |
% 266.86/37.23 | Case 2:
% 266.86/37.23 | |
% 266.86/37.23 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.23 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.23 | | ~ ndr1_0 | c2_1(v0))
% 266.86/37.23 | |
% 266.86/37.23 | | REF_CLOSE: (3), (7), (8), (9), (10), (11), (12), (13), (14), (15), (18) are
% 266.86/37.23 | | inconsistent by sub-proof #91.
% 266.86/37.23 | |
% 266.86/37.23 | End of split
% 266.86/37.23 |
% 266.86/37.23 End of proof
% 266.86/37.23
% 266.86/37.23 Sub-proof #91 shows that the following formulas are inconsistent:
% 266.86/37.23 ----------------------------------------------------------------
% 266.86/37.23 (1) $i(a1010)
% 266.86/37.23 (2) c2_1(a1001)
% 266.86/37.23 (3) ~ c1_1(a1010)
% 266.86/37.23 (4) c3_1(a1010)
% 266.86/37.23 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.23 c1_1(v0))
% 266.86/37.23 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.23 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.23 ndr1_0 | c2_1(v0))
% 266.86/37.23 (7) c0_1(a1010)
% 266.86/37.23 (8) ~ c1_1(a1001)
% 266.86/37.23 (9) $i(a1001)
% 266.86/37.23 (10) ndr1_0
% 266.86/37.23 (11) c3_1(a1001)
% 266.86/37.23
% 266.86/37.23 Begin of proof
% 266.86/37.23 |
% 266.86/37.23 | BETA: splitting (6) gives:
% 266.86/37.23 |
% 266.86/37.23 | Case 1:
% 266.86/37.23 | |
% 266.86/37.23 | | (12) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.23 | | c1_1(v0))
% 266.86/37.23 | |
% 266.86/37.23 | | GROUND_INST: instantiating (12) with a1001, simplifying with (2), (8), (9),
% 266.86/37.23 | | (10), (11) gives:
% 266.86/37.23 | | (13) $false
% 266.86/37.23 | |
% 266.86/37.23 | | CLOSE: (13) is inconsistent.
% 266.86/37.23 | |
% 266.86/37.23 | Case 2:
% 266.86/37.23 | |
% 266.86/37.23 | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.23 | | c2_1(v0))
% 266.86/37.23 | |
% 266.86/37.23 | | GROUND_INST: instantiating (14) with a1010, simplifying with (1), (4), (7),
% 266.86/37.23 | | (10) gives:
% 266.86/37.23 | | (15) c2_1(a1010)
% 266.86/37.23 | |
% 266.86/37.23 | | GROUND_INST: instantiating (5) with a1010, simplifying with (1), (3), (7),
% 266.86/37.23 | | (10), (15) gives:
% 266.86/37.23 | | (16) $false
% 266.86/37.23 | |
% 266.86/37.23 | | CLOSE: (16) is inconsistent.
% 266.86/37.23 | |
% 266.86/37.23 | End of split
% 266.86/37.23 |
% 266.86/37.23 End of proof
% 266.86/37.23
% 266.86/37.23 Sub-proof #92 shows that the following formulas are inconsistent:
% 266.86/37.23 ----------------------------------------------------------------
% 266.86/37.23 (1) $i(a1010)
% 266.86/37.23 (2) ~ hskp13
% 266.86/37.23 (3) ~ hskp6
% 266.86/37.23 (4) ~ c1_1(a1010)
% 266.86/37.23 (5) c1_1(a1048)
% 266.86/37.23 (6) ~ c3_1(a1048)
% 266.86/37.23 (7) c3_1(a1010)
% 266.86/37.23 (8) c0_1(a1010)
% 266.86/37.23 (9) hskp13 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.86/37.23 ~ ndr1_0 | c2_1(v0))
% 266.86/37.23 (10) $i(a1048)
% 266.86/37.23 (11) ndr1_0
% 266.86/37.23 (12) ~ c0_1(a1048)
% 266.86/37.23 (13) $i(a1044)
% 266.86/37.23 (14) ~ c3_1(a1044)
% 266.86/37.23 (15) c1_1(a1044)
% 266.86/37.23 (16) c0_1(a1044)
% 266.86/37.23 (17) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.23 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.23 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.23 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.23
% 266.86/37.23 Begin of proof
% 266.86/37.23 |
% 266.86/37.23 | BETA: splitting (9) gives:
% 266.86/37.23 |
% 266.86/37.23 | Case 1:
% 266.86/37.23 | |
% 266.86/37.23 | | (18) hskp6
% 266.86/37.23 | |
% 266.86/37.23 | | PRED_UNIFY: (3), (18) imply:
% 266.86/37.23 | | (19) $false
% 266.86/37.23 | |
% 266.86/37.23 | | CLOSE: (19) is inconsistent.
% 266.86/37.23 | |
% 266.86/37.23 | Case 2:
% 266.86/37.23 | |
% 266.86/37.23 | | (20) hskp13 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.23 | | ndr1_0 | c2_1(v0))
% 266.86/37.23 | |
% 266.86/37.23 | | BETA: splitting (20) gives:
% 266.86/37.23 | |
% 266.86/37.23 | | Case 1:
% 266.86/37.23 | | |
% 266.86/37.23 | | | (21) hskp13
% 266.86/37.23 | | |
% 266.86/37.23 | | | PRED_UNIFY: (2), (21) imply:
% 266.86/37.23 | | | (22) $false
% 266.86/37.23 | | |
% 266.86/37.23 | | | CLOSE: (22) is inconsistent.
% 266.86/37.23 | | |
% 266.86/37.23 | | Case 2:
% 266.86/37.23 | | |
% 266.86/37.23 | | | (23) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.23 | | | c2_1(v0))
% 266.86/37.23 | | |
% 266.86/37.23 | | | GROUND_INST: instantiating (23) with a1044, simplifying with (11), (13),
% 266.86/37.23 | | | (15), (16) gives:
% 266.86/37.23 | | | (24) c2_1(a1044)
% 266.86/37.23 | | |
% 266.86/37.23 | | | REF_CLOSE: (1), (4), (5), (6), (7), (8), (10), (11), (12), (13), (14),
% 266.86/37.23 | | | (16), (17), (24) are inconsistent by sub-proof #106.
% 266.86/37.23 | | |
% 266.86/37.23 | | End of split
% 266.86/37.23 | |
% 266.86/37.23 | End of split
% 266.86/37.23 |
% 266.86/37.23 End of proof
% 266.86/37.23
% 266.86/37.23 Sub-proof #93 shows that the following formulas are inconsistent:
% 266.86/37.23 ----------------------------------------------------------------
% 266.86/37.23 (1) hskp28 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.23 c1_1(v0) | c2_1(v0))
% 266.86/37.23 (2) ~ hskp13 | (c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~ c2_1(a1023))
% 266.86/37.23 (3) $i(a1023)
% 266.86/37.23 (4) ~ hskp6
% 266.86/37.23 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.23 ndr1_0)
% 266.86/37.23 (6) ~ hskp8
% 266.86/37.23 (7) ~ hskp28 | (c1_1(a1033) & c2_1(a1033) & c0_1(a1033) & ndr1_0)
% 266.86/37.23 (8) hskp13 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.86/37.23 ~ ndr1_0 | c2_1(v0))
% 266.86/37.23 (9) ndr1_0
% 266.86/37.23 (10) $i(a1044)
% 266.86/37.23 (11) c1_1(a1044)
% 266.86/37.23 (12) c0_1(a1044)
% 266.86/37.23 (13) $i(a1033)
% 266.86/37.23
% 266.86/37.23 Begin of proof
% 266.86/37.23 |
% 266.86/37.23 | BETA: splitting (2) gives:
% 266.86/37.23 |
% 266.86/37.23 | Case 1:
% 266.86/37.23 | |
% 266.86/37.23 | | (14) ~ hskp13
% 266.86/37.23 | |
% 266.86/37.23 | | REF_CLOSE: (4), (5), (8), (9), (10), (11), (12), (14) are inconsistent by
% 266.86/37.23 | | sub-proof #95.
% 266.86/37.23 | |
% 266.86/37.23 | Case 2:
% 266.86/37.23 | |
% 266.86/37.23 | | (15) c3_1(a1023) & ndr1_0 & ~ c1_1(a1023) & ~ c2_1(a1023)
% 266.86/37.23 | |
% 266.86/37.23 | | ALPHA: (15) implies:
% 266.86/37.23 | | (16) ~ c2_1(a1023)
% 266.86/37.23 | | (17) ~ c1_1(a1023)
% 266.86/37.23 | | (18) c3_1(a1023)
% 266.86/37.23 | |
% 266.86/37.23 | | REF_CLOSE: (1), (3), (5), (6), (7), (9), (13), (16), (17), (18) are
% 266.86/37.23 | | inconsistent by sub-proof #94.
% 266.86/37.23 | |
% 266.86/37.23 | End of split
% 266.86/37.23 |
% 266.86/37.23 End of proof
% 266.86/37.23
% 266.86/37.23 Sub-proof #94 shows that the following formulas are inconsistent:
% 266.86/37.23 ----------------------------------------------------------------
% 266.86/37.23 (1) hskp28 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.23 c1_1(v0) | c2_1(v0))
% 266.86/37.23 (2) ~ c2_1(a1023)
% 266.86/37.23 (3) $i(a1023)
% 266.86/37.23 (4) ~ c1_1(a1023)
% 266.86/37.23 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.23 ndr1_0)
% 266.86/37.23 (6) ~ hskp8
% 266.86/37.23 (7) ~ hskp28 | (c1_1(a1033) & c2_1(a1033) & c0_1(a1033) & ndr1_0)
% 266.86/37.23 (8) ndr1_0
% 266.86/37.23 (9) c3_1(a1023)
% 266.86/37.23 (10) $i(a1033)
% 266.86/37.23
% 266.86/37.23 Begin of proof
% 266.86/37.23 |
% 266.86/37.23 | BETA: splitting (7) gives:
% 266.86/37.23 |
% 266.86/37.23 | Case 1:
% 266.86/37.23 | |
% 266.86/37.23 | | (11) ~ hskp28
% 266.86/37.23 | |
% 266.86/37.23 | | BETA: splitting (1) gives:
% 266.86/37.23 | |
% 266.86/37.23 | | Case 1:
% 266.86/37.23 | | |
% 266.86/37.23 | | | (12) hskp8
% 266.86/37.23 | | |
% 266.86/37.23 | | | PRED_UNIFY: (6), (12) imply:
% 266.86/37.23 | | | (13) $false
% 266.86/37.23 | | |
% 266.86/37.23 | | | CLOSE: (13) is inconsistent.
% 266.86/37.23 | | |
% 266.86/37.23 | | Case 2:
% 266.86/37.23 | | |
% 266.86/37.23 | | | (14) hskp28 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 266.86/37.23 | | | c1_1(v0) | c2_1(v0))
% 266.86/37.23 | | |
% 266.86/37.23 | | | BETA: splitting (14) gives:
% 266.86/37.23 | | |
% 266.86/37.23 | | | Case 1:
% 266.86/37.23 | | | |
% 266.86/37.23 | | | | (15) hskp28
% 266.86/37.23 | | | |
% 266.86/37.23 | | | | PRED_UNIFY: (11), (15) imply:
% 266.86/37.23 | | | | (16) $false
% 266.86/37.23 | | | |
% 266.86/37.23 | | | | CLOSE: (16) is inconsistent.
% 266.86/37.23 | | | |
% 266.86/37.23 | | | Case 2:
% 266.86/37.23 | | | |
% 266.86/37.23 | | | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.23 | | | | c2_1(v0))
% 266.86/37.23 | | | |
% 266.86/37.23 | | | | GROUND_INST: instantiating (17) with a1023, simplifying with (2), (3),
% 266.86/37.23 | | | | (4), (8), (9) gives:
% 266.86/37.23 | | | | (18) $false
% 266.86/37.23 | | | |
% 266.86/37.23 | | | | CLOSE: (18) is inconsistent.
% 266.86/37.23 | | | |
% 266.86/37.23 | | | End of split
% 266.86/37.23 | | |
% 266.86/37.23 | | End of split
% 266.86/37.23 | |
% 266.86/37.23 | Case 2:
% 266.86/37.23 | |
% 266.86/37.23 | | (19) c1_1(a1033) & c2_1(a1033) & c0_1(a1033) & ndr1_0
% 266.86/37.23 | |
% 266.86/37.23 | | ALPHA: (19) implies:
% 266.86/37.23 | | (20) c0_1(a1033)
% 266.86/37.23 | | (21) c2_1(a1033)
% 266.86/37.23 | | (22) c1_1(a1033)
% 266.86/37.23 | |
% 266.86/37.23 | | GROUND_INST: instantiating (5) with a1033, simplifying with (8), (10), (20),
% 266.86/37.23 | | (21), (22) gives:
% 266.86/37.23 | | (23) $false
% 266.86/37.23 | |
% 266.86/37.23 | | CLOSE: (23) is inconsistent.
% 266.86/37.23 | |
% 266.86/37.23 | End of split
% 266.86/37.23 |
% 266.86/37.23 End of proof
% 266.86/37.23
% 266.86/37.23 Sub-proof #95 shows that the following formulas are inconsistent:
% 266.86/37.23 ----------------------------------------------------------------
% 266.86/37.23 (1) ~ hskp13
% 266.86/37.23 (2) ~ hskp6
% 266.86/37.24 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.24 ndr1_0)
% 266.86/37.24 (4) hskp13 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.86/37.24 ~ ndr1_0 | c2_1(v0))
% 266.86/37.24 (5) ndr1_0
% 266.86/37.24 (6) $i(a1044)
% 266.86/37.24 (7) c1_1(a1044)
% 266.86/37.24 (8) c0_1(a1044)
% 266.86/37.24
% 266.86/37.24 Begin of proof
% 266.86/37.24 |
% 266.86/37.24 | BETA: splitting (4) gives:
% 266.86/37.24 |
% 266.86/37.24 | Case 1:
% 266.86/37.24 | |
% 266.86/37.24 | | (9) hskp6
% 266.86/37.24 | |
% 266.86/37.24 | | PRED_UNIFY: (2), (9) imply:
% 266.86/37.24 | | (10) $false
% 266.86/37.24 | |
% 266.86/37.24 | | CLOSE: (10) is inconsistent.
% 266.86/37.24 | |
% 266.86/37.24 | Case 2:
% 266.86/37.24 | |
% 266.86/37.24 | | (11) hskp13 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.24 | | ndr1_0 | c2_1(v0))
% 266.86/37.24 | |
% 266.86/37.24 | | BETA: splitting (11) gives:
% 266.86/37.24 | |
% 266.86/37.24 | | Case 1:
% 266.86/37.24 | | |
% 266.86/37.24 | | | (12) hskp13
% 266.86/37.24 | | |
% 266.86/37.24 | | | PRED_UNIFY: (1), (12) imply:
% 266.86/37.24 | | | (13) $false
% 266.86/37.24 | | |
% 266.86/37.24 | | | CLOSE: (13) is inconsistent.
% 266.86/37.24 | | |
% 266.86/37.24 | | Case 2:
% 266.86/37.24 | | |
% 266.86/37.24 | | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.24 | | | c2_1(v0))
% 266.86/37.24 | | |
% 266.86/37.24 | | | GROUND_INST: instantiating (14) with a1044, simplifying with (5), (6),
% 266.86/37.24 | | | (7), (8) gives:
% 266.86/37.24 | | | (15) c2_1(a1044)
% 266.86/37.24 | | |
% 266.86/37.24 | | | GROUND_INST: instantiating (3) with a1044, simplifying with (5), (6), (7),
% 266.86/37.24 | | | (8), (15) gives:
% 266.86/37.24 | | | (16) $false
% 266.86/37.24 | | |
% 266.86/37.24 | | | CLOSE: (16) is inconsistent.
% 266.86/37.24 | | |
% 266.86/37.24 | | End of split
% 266.86/37.24 | |
% 266.86/37.24 | End of split
% 266.86/37.24 |
% 266.86/37.24 End of proof
% 266.86/37.24
% 266.86/37.24 Sub-proof #96 shows that the following formulas are inconsistent:
% 266.86/37.24 ----------------------------------------------------------------
% 266.86/37.24 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.24 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.24 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.24 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.24 (2) $i(a1010)
% 266.86/37.24 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.24 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.24 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.24 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.86/37.24 (4) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.86/37.24 ~ c0_1(v0) | ~ ndr1_0)
% 266.86/37.24 (5) $i(a1019)
% 266.86/37.24 (6) c2_1(a1001)
% 266.86/37.24 (7) ~ c1_1(a1010)
% 266.86/37.24 (8) c2_1(a1044)
% 266.86/37.24 (9) $i(a1011)
% 266.86/37.24 (10) c3_1(a1010)
% 266.86/37.24 (11) hskp22 | hskp14 | hskp12
% 266.86/37.24 (12) c0_1(a1010)
% 266.86/37.24 (13) ~ c1_1(a1001)
% 266.86/37.24 (14) $i(a1001)
% 266.86/37.24 (15) ndr1_0
% 266.86/37.24 (16) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.86/37.24 (17) $i(a1044)
% 266.86/37.24 (18) ~ c3_1(a1044)
% 266.86/37.24 (19) c3_1(a1001)
% 266.86/37.24 (20) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.86/37.24 (21) c1_1(a1044)
% 266.86/37.24 (22) c0_1(a1044)
% 266.86/37.24 (23) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.24 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.24 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.24 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.24 (24) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.24 c2_1(v0))
% 266.86/37.24
% 266.86/37.24 Begin of proof
% 266.86/37.24 |
% 266.86/37.24 | BETA: splitting (20) gives:
% 266.86/37.24 |
% 266.86/37.24 | Case 1:
% 266.86/37.24 | |
% 266.86/37.24 | | (25) ~ hskp9
% 266.86/37.24 | |
% 266.86/37.24 | | REF_CLOSE: (2), (3), (4), (5), (7), (8), (10), (11), (12), (15), (16), (17),
% 266.86/37.24 | | (18), (21), (22), (23), (25) are inconsistent by sub-proof #124.
% 266.86/37.24 | |
% 266.86/37.24 | Case 2:
% 266.86/37.24 | |
% 266.86/37.24 | | (26) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 266.86/37.24 | |
% 266.86/37.24 | | REF_CLOSE: (1), (6), (8), (9), (13), (14), (17), (18), (19), (21), (24),
% 266.86/37.24 | | (26) are inconsistent by sub-proof #100.
% 266.86/37.24 | |
% 266.86/37.24 | End of split
% 266.86/37.24 |
% 266.86/37.24 End of proof
% 266.86/37.24
% 266.86/37.24 Sub-proof #97 shows that the following formulas are inconsistent:
% 266.86/37.24 ----------------------------------------------------------------
% 266.86/37.24 (1) ~ hskp26 | (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))
% 266.86/37.24 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.24 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.24 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.24 c1_1(v0) | c3_1(v0))
% 266.86/37.24 (3) $i(a1052)
% 266.86/37.24 (4) ~ c0_1(a1015)
% 266.86/37.24 (5) $i(a1011)
% 266.86/37.24 (6) c0_1(a1011)
% 266.86/37.24 (7) ~ c3_1(a1008)
% 266.86/37.24 (8) $i(a1008)
% 266.86/37.24 (9) ~ hskp8
% 266.86/37.24 (10) $i(a1015)
% 266.86/37.24 (11) ~ c1_1(a1008)
% 266.86/37.24 (12) c2_1(a1008)
% 266.86/37.24 (13) ndr1_0
% 266.86/37.24 (14) c1_1(a1011)
% 266.86/37.24 (15) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.86/37.24 ~ ndr1_0 | c2_1(v0))
% 266.86/37.24 (16) ~ c2_1(a1011)
% 266.86/37.24 (17) c3_1(a1015)
% 266.86/37.24 (18) ~ c1_1(a1015)
% 266.86/37.24
% 266.86/37.24 Begin of proof
% 266.86/37.24 |
% 266.86/37.24 | BETA: splitting (1) gives:
% 266.86/37.24 |
% 266.86/37.24 | Case 1:
% 266.86/37.24 | |
% 266.86/37.24 | | (19) ~ hskp26
% 266.86/37.24 | |
% 266.86/37.24 | | REF_CLOSE: (5), (6), (9), (13), (14), (15), (16), (19) are inconsistent by
% 266.86/37.24 | | sub-proof #118.
% 266.86/37.24 | |
% 266.86/37.24 | Case 2:
% 266.86/37.24 | |
% 266.86/37.24 | | (20) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052)
% 266.86/37.24 | |
% 266.86/37.24 | | ALPHA: (20) implies:
% 266.86/37.24 | | (21) ~ c0_1(a1052)
% 266.86/37.24 | | (22) ~ c2_1(a1052)
% 266.86/37.24 | | (23) c3_1(a1052)
% 266.86/37.24 | |
% 266.86/37.24 | | REF_CLOSE: (2), (3), (4), (7), (8), (10), (11), (12), (13), (17), (18),
% 266.86/37.24 | | (21), (22), (23) are inconsistent by sub-proof #125.
% 266.86/37.24 | |
% 266.86/37.24 | End of split
% 266.86/37.24 |
% 266.86/37.24 End of proof
% 266.86/37.24
% 266.86/37.24 Sub-proof #98 shows that the following formulas are inconsistent:
% 266.86/37.24 ----------------------------------------------------------------
% 266.86/37.24 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.24 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.24 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.24 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.24 (2) c2_1(a1001)
% 266.86/37.24 (3) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 266.86/37.24 (4) c2_1(a1044)
% 266.86/37.24 (5) ~ c1_1(a1001)
% 266.86/37.24 (6) $i(a1001)
% 266.86/37.24 (7) $i(a1044)
% 266.86/37.24 (8) ~ c3_1(a1044)
% 266.86/37.24 (9) c3_1(a1001)
% 266.86/37.24 (10) $i(a1006)
% 266.86/37.24 (11) c1_1(a1044)
% 266.86/37.24
% 266.86/37.24 Begin of proof
% 266.86/37.24 |
% 266.86/37.24 | ALPHA: (3) implies:
% 266.86/37.24 | (12) ~ c2_1(a1006)
% 266.86/37.24 | (13) ndr1_0
% 266.86/37.24 | (14) c0_1(a1006)
% 266.86/37.24 | (15) c3_1(a1006)
% 266.86/37.24 |
% 266.86/37.24 | BETA: splitting (1) gives:
% 266.86/37.24 |
% 266.86/37.24 | Case 1:
% 266.86/37.24 | |
% 266.86/37.24 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.24 | | c3_1(v0))
% 266.86/37.24 | |
% 266.86/37.24 | | GROUND_INST: instantiating (16) with a1044, simplifying with (4), (7), (8),
% 266.86/37.24 | | (11), (13) gives:
% 266.86/37.24 | | (17) $false
% 266.86/37.24 | |
% 266.86/37.24 | | CLOSE: (17) is inconsistent.
% 266.86/37.24 | |
% 266.86/37.24 | Case 2:
% 266.86/37.24 | |
% 266.86/37.24 | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.24 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.24 | | ~ ndr1_0 | c2_1(v0))
% 266.86/37.24 | |
% 266.86/37.24 | | REF_CLOSE: (2), (5), (6), (9), (10), (12), (13), (14), (15), (18) are
% 266.86/37.24 | | inconsistent by sub-proof #99.
% 266.86/37.24 | |
% 266.86/37.24 | End of split
% 266.86/37.24 |
% 266.86/37.24 End of proof
% 266.86/37.24
% 266.86/37.24 Sub-proof #99 shows that the following formulas are inconsistent:
% 266.86/37.24 ----------------------------------------------------------------
% 266.86/37.24 (1) ~ c2_1(a1006)
% 266.86/37.24 (2) c3_1(a1006)
% 266.86/37.24 (3) c2_1(a1001)
% 266.86/37.24 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.24 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.24 ndr1_0 | c2_1(v0))
% 266.86/37.24 (5) ~ c1_1(a1001)
% 266.86/37.24 (6) $i(a1001)
% 266.86/37.24 (7) ndr1_0
% 266.86/37.24 (8) c3_1(a1001)
% 266.86/37.24 (9) $i(a1006)
% 266.86/37.24 (10) c0_1(a1006)
% 266.86/37.24
% 266.86/37.24 Begin of proof
% 266.86/37.24 |
% 266.86/37.24 | BETA: splitting (4) gives:
% 266.86/37.24 |
% 266.86/37.24 | Case 1:
% 266.86/37.24 | |
% 266.86/37.24 | | (11) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.24 | | c1_1(v0))
% 266.86/37.24 | |
% 266.86/37.24 | | GROUND_INST: instantiating (11) with a1001, simplifying with (3), (5), (6),
% 266.86/37.24 | | (7), (8) gives:
% 266.86/37.24 | | (12) $false
% 266.86/37.24 | |
% 266.86/37.24 | | CLOSE: (12) is inconsistent.
% 266.86/37.24 | |
% 266.86/37.24 | Case 2:
% 266.86/37.24 | |
% 266.86/37.24 | | (13) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.24 | | c2_1(v0))
% 266.86/37.24 | |
% 266.86/37.24 | | GROUND_INST: instantiating (13) with a1006, simplifying with (1), (2), (7),
% 266.86/37.24 | | (9), (10) gives:
% 266.86/37.24 | | (14) $false
% 266.86/37.24 | |
% 266.86/37.24 | | CLOSE: (14) is inconsistent.
% 266.86/37.24 | |
% 266.86/37.24 | End of split
% 266.86/37.24 |
% 266.86/37.24 End of proof
% 266.86/37.24
% 266.86/37.24 Sub-proof #100 shows that the following formulas are inconsistent:
% 266.86/37.24 ----------------------------------------------------------------
% 266.86/37.24 (1) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 266.86/37.24 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.24 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.24 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.24 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.24 (3) c2_1(a1001)
% 266.86/37.24 (4) c2_1(a1044)
% 266.86/37.24 (5) $i(a1011)
% 266.86/37.24 (6) ~ c1_1(a1001)
% 266.86/37.24 (7) $i(a1001)
% 266.86/37.24 (8) $i(a1044)
% 266.86/37.24 (9) ~ c3_1(a1044)
% 266.86/37.24 (10) c3_1(a1001)
% 266.86/37.24 (11) c1_1(a1044)
% 266.86/37.24 (12) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.24 c2_1(v0))
% 266.86/37.24
% 266.86/37.24 Begin of proof
% 266.86/37.24 |
% 266.86/37.25 | ALPHA: (1) implies:
% 266.86/37.25 | (13) ~ c2_1(a1011)
% 266.86/37.25 | (14) ndr1_0
% 266.86/37.25 | (15) c0_1(a1011)
% 266.86/37.25 |
% 266.86/37.25 | GROUND_INST: instantiating (12) with a1011, simplifying with (5), (13), (14),
% 266.86/37.25 | (15) gives:
% 266.86/37.25 | (16) c3_1(a1011)
% 266.86/37.25 |
% 266.86/37.25 | BETA: splitting (2) gives:
% 266.86/37.25 |
% 266.86/37.25 | Case 1:
% 266.86/37.25 | |
% 266.86/37.25 | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.25 | | c3_1(v0))
% 266.86/37.25 | |
% 266.86/37.25 | | GROUND_INST: instantiating (17) with a1044, simplifying with (4), (8), (9),
% 266.86/37.25 | | (11), (14) gives:
% 266.86/37.25 | | (18) $false
% 266.86/37.25 | |
% 266.86/37.25 | | CLOSE: (18) is inconsistent.
% 266.86/37.25 | |
% 266.86/37.25 | Case 2:
% 266.86/37.25 | |
% 266.86/37.25 | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.25 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 266.86/37.25 | | ~ ndr1_0 | c2_1(v0))
% 266.86/37.25 | |
% 266.86/37.25 | | BETA: splitting (19) gives:
% 266.86/37.25 | |
% 266.86/37.25 | | Case 1:
% 266.86/37.25 | | |
% 266.86/37.25 | | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.25 | | | c1_1(v0))
% 266.86/37.25 | | |
% 266.86/37.25 | | | GROUND_INST: instantiating (20) with a1001, simplifying with (3), (6),
% 266.86/37.25 | | | (7), (10), (14) gives:
% 266.86/37.25 | | | (21) $false
% 266.86/37.25 | | |
% 266.86/37.25 | | | CLOSE: (21) is inconsistent.
% 266.86/37.25 | | |
% 266.86/37.25 | | Case 2:
% 266.86/37.25 | | |
% 266.86/37.25 | | | (22) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.25 | | | c2_1(v0))
% 266.86/37.25 | | |
% 266.86/37.25 | | | GROUND_INST: instantiating (22) with a1011, simplifying with (5), (13),
% 266.86/37.25 | | | (14), (15), (16) gives:
% 266.86/37.25 | | | (23) $false
% 266.86/37.25 | | |
% 266.86/37.25 | | | CLOSE: (23) is inconsistent.
% 266.86/37.25 | | |
% 266.86/37.25 | | End of split
% 266.86/37.25 | |
% 266.86/37.25 | End of split
% 266.86/37.25 |
% 266.86/37.25 End of proof
% 266.86/37.25
% 266.86/37.25 Sub-proof #101 shows that the following formulas are inconsistent:
% 266.86/37.25 ----------------------------------------------------------------
% 266.86/37.25 (1) hskp12 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 266.86/37.25 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.25 ndr1_0 | c2_1(v0))
% 266.86/37.25 (2) ~ hskp7 | (c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~ c3_1(a1008))
% 266.86/37.25 (3) ~ hskp26 | (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))
% 266.86/37.25 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 266.86/37.25 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 266.86/37.25 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.25 c1_1(v0) | c3_1(v0))
% 266.86/37.25 (5) $i(a1010)
% 266.86/37.25 (6) $i(a1004)
% 266.86/37.25 (7) $i(a1045)
% 266.86/37.25 (8) $i(a1052)
% 266.86/37.25 (9) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.25 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.25 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.25 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.86/37.25 (10) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 266.86/37.25 ~ c0_1(v0) | ~ ndr1_0)
% 266.86/37.25 (11) hskp8 | hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.25 c2_1(v0) | c0_1(v0))
% 266.86/37.25 (12) $i(a1019)
% 266.86/37.25 (13) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 266.86/37.25 (14) $i(a1025)
% 266.86/37.25 (15) $i(a1029)
% 266.86/37.25 (16) c1_1(a1048)
% 266.86/37.25 (17) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 266.86/37.25 (18) $i(a1011)
% 266.86/37.25 (19) ~ c1_1(a1002)
% 266.86/37.25 (20) c2_1(a1002)
% 266.86/37.25 (21) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 266.86/37.25 (22) ~ c3_1(a1048)
% 266.86/37.25 (23) $i(a1008)
% 266.86/37.25 (24) $i(a1041)
% 266.86/37.25 (25) ~ hskp6 | (c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006))
% 266.86/37.25 (26) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 266.86/37.25 (27) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.25 c0_1(v0) | ~ ndr1_0)
% 266.86/37.25 (28) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 266.86/37.25 (29) $i(a1015)
% 266.86/37.25 (30) $i(a1048)
% 266.86/37.25 (31) $i(a1002)
% 266.86/37.25 (32) ~ hskp11 | (c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~ c0_1(a1015))
% 266.86/37.25 (33) hskp21 | hskp7 | hskp4
% 266.86/37.25 (34) ndr1_0
% 266.86/37.25 (35) ~ hskp3
% 266.86/37.25 (36) ~ c0_1(a1048)
% 266.86/37.25 (37) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 266.86/37.25 (38) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 266.86/37.25 (39) $i(a1044)
% 266.86/37.25 (40) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.25 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.25 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.25 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.25 (41) ~ hskp8 | (c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010))
% 266.86/37.25 (42) ~ c3_1(a1044)
% 266.86/37.25 (43) hskp27 | hskp14 | hskp6
% 266.86/37.25 (44) $i(a1006)
% 266.86/37.25 (45) c0_1(a1002)
% 266.86/37.25 (46) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 266.86/37.25 ~ c0_1(v0) | ~ ndr1_0)
% 266.86/37.25 (47) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 266.86/37.25 (48) c1_1(a1044)
% 266.86/37.25 (49) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.25 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.86/37.25 ndr1_0 | c3_1(v0) | c0_1(v0))
% 266.86/37.25 (50) c0_1(a1044)
% 266.86/37.25 (51) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.25 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.25 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.25 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.25 (52) hskp12 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.25 c3_1(v0) | c0_1(v0))
% 266.86/37.25 (53) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 266.86/37.25 ~ ndr1_0 | c2_1(v0))
% 266.86/37.25
% 266.86/37.25 Begin of proof
% 266.86/37.25 |
% 266.86/37.25 | BETA: splitting (2) gives:
% 266.86/37.25 |
% 266.86/37.25 | Case 1:
% 266.86/37.25 | |
% 266.86/37.25 | | (54) ~ hskp7
% 266.86/37.25 | |
% 266.86/37.25 | | BETA: splitting (27) gives:
% 266.86/37.25 | |
% 266.86/37.25 | | Case 1:
% 266.86/37.25 | | |
% 266.86/37.25 | | | (55) hskp7
% 266.86/37.25 | | |
% 266.86/37.25 | | | PRED_UNIFY: (54), (55) imply:
% 266.86/37.25 | | | (56) $false
% 266.86/37.25 | | |
% 266.86/37.25 | | | CLOSE: (56) is inconsistent.
% 266.86/37.25 | | |
% 266.86/37.25 | | Case 2:
% 266.86/37.25 | | |
% 266.86/37.25 | | | (57) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0)
% 266.86/37.25 | | | | ~ ndr1_0)
% 266.86/37.25 | | |
% 266.86/37.25 | | | BETA: splitting (41) gives:
% 266.86/37.25 | | |
% 266.86/37.25 | | | Case 1:
% 266.86/37.25 | | | |
% 266.86/37.25 | | | | (58) ~ hskp8
% 266.86/37.25 | | | |
% 266.86/37.25 | | | | BETA: splitting (11) gives:
% 266.86/37.25 | | | |
% 266.86/37.25 | | | | Case 1:
% 266.86/37.25 | | | | |
% 266.86/37.25 | | | | | (59) hskp7
% 266.86/37.25 | | | | |
% 266.86/37.25 | | | | | PRED_UNIFY: (54), (59) imply:
% 266.86/37.25 | | | | | (60) $false
% 266.86/37.25 | | | | |
% 266.86/37.25 | | | | | CLOSE: (60) is inconsistent.
% 266.86/37.25 | | | | |
% 266.86/37.25 | | | | Case 2:
% 266.86/37.25 | | | | |
% 266.86/37.25 | | | | | (61) hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.25 | | | | | c2_1(v0) | c0_1(v0))
% 266.86/37.25 | | | | |
% 266.86/37.25 | | | | | BETA: splitting (61) gives:
% 266.86/37.25 | | | | |
% 266.86/37.25 | | | | | Case 1:
% 266.86/37.25 | | | | | |
% 266.86/37.25 | | | | | | (62) hskp8
% 266.86/37.25 | | | | | |
% 266.86/37.25 | | | | | | PRED_UNIFY: (58), (62) imply:
% 266.86/37.25 | | | | | | (63) $false
% 266.86/37.25 | | | | | |
% 266.86/37.25 | | | | | | CLOSE: (63) is inconsistent.
% 266.86/37.25 | | | | | |
% 266.86/37.25 | | | | | Case 2:
% 266.86/37.25 | | | | | |
% 266.86/37.25 | | | | | | (64) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 266.86/37.25 | | | | | | c2_1(v0) | c0_1(v0))
% 266.86/37.25 | | | | | |
% 266.86/37.25 | | | | | | BETA: splitting (40) gives:
% 266.86/37.25 | | | | | |
% 266.86/37.25 | | | | | | Case 1:
% 266.86/37.25 | | | | | | |
% 266.86/37.25 | | | | | | | (65) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.25 | | | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.25 | | | | | | |
% 266.86/37.25 | | | | | | | GROUND_INST: instantiating (65) with a1002, simplifying with (19),
% 266.86/37.25 | | | | | | | (20), (31), (34), (45) gives:
% 266.86/37.25 | | | | | | | (66) $false
% 266.86/37.25 | | | | | | |
% 266.86/37.25 | | | | | | | CLOSE: (66) is inconsistent.
% 266.86/37.25 | | | | | | |
% 266.86/37.25 | | | | | | Case 2:
% 266.86/37.25 | | | | | | |
% 266.86/37.25 | | | | | | | (67) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.25 | | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 266.86/37.25 | | | | | | | c0_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.25 | | | | | | |
% 266.86/37.25 | | | | | | | BETA: splitting (67) gives:
% 266.86/37.25 | | | | | | |
% 266.86/37.25 | | | | | | | Case 1:
% 266.86/37.25 | | | | | | | |
% 266.86/37.25 | | | | | | | | (68) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.25 | | | | | | | | c3_1(v0) | c0_1(v0))
% 266.86/37.25 | | | | | | | |
% 266.86/37.25 | | | | | | | | GROUND_INST: instantiating (64) with a1048, simplifying with
% 266.86/37.25 | | | | | | | | (16), (30), (34), (36) gives:
% 266.86/37.25 | | | | | | | | (69) c2_1(a1048)
% 266.86/37.25 | | | | | | | |
% 266.86/37.25 | | | | | | | | GROUND_INST: instantiating (68) with a1048, simplifying with
% 266.86/37.25 | | | | | | | | (22), (30), (34), (36), (69) gives:
% 266.86/37.25 | | | | | | | | (70) $false
% 266.86/37.25 | | | | | | | |
% 266.86/37.25 | | | | | | | | CLOSE: (70) is inconsistent.
% 266.86/37.25 | | | | | | | |
% 266.86/37.25 | | | | | | | Case 2:
% 266.86/37.25 | | | | | | | |
% 266.86/37.26 | | | | | | | | (71) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.26 | | | | | | | | c3_1(v0) | c2_1(v0))
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | GROUND_INST: instantiating (71) with a1044, simplifying with
% 266.86/37.26 | | | | | | | | (34), (39), (42), (50) gives:
% 266.86/37.26 | | | | | | | | (72) c2_1(a1044)
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | GROUND_INST: instantiating (57) with a1044, simplifying with
% 266.86/37.26 | | | | | | | | (34), (39), (48), (50), (72) gives:
% 266.86/37.26 | | | | | | | | (73) $false
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | CLOSE: (73) is inconsistent.
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | End of split
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | End of split
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | End of split
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | End of split
% 266.86/37.26 | | | |
% 266.86/37.26 | | | Case 2:
% 266.86/37.26 | | | |
% 266.86/37.26 | | | | (74) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 266.86/37.26 | | | |
% 266.86/37.26 | | | | ALPHA: (74) implies:
% 266.86/37.26 | | | | (75) ~ c1_1(a1010)
% 266.86/37.26 | | | | (76) c0_1(a1010)
% 266.86/37.26 | | | | (77) c3_1(a1010)
% 266.86/37.26 | | | |
% 266.86/37.26 | | | | BETA: splitting (37) gives:
% 266.86/37.26 | | | |
% 266.86/37.26 | | | | Case 1:
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | (78) ~ hskp12
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | BETA: splitting (40) gives:
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | Case 1:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | (79) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.26 | | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | GROUND_INST: instantiating (79) with a1002, simplifying with (19),
% 266.86/37.26 | | | | | | (20), (31), (34), (45) gives:
% 266.86/37.26 | | | | | | (80) $false
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | CLOSE: (80) is inconsistent.
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | Case 2:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | (81) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.26 | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 266.86/37.26 | | | | | | c0_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | BETA: splitting (81) gives:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | Case 1:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | (82) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.26 | | | | | | | c3_1(v0) | c0_1(v0))
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | BETA: splitting (21) gives:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | Case 1:
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | (83) ~ hskp4
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | REF_CLOSE: (24), (28), (33), (54), (82), (83) are inconsistent
% 266.86/37.26 | | | | | | | | by sub-proof #110.
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | Case 2:
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | (84) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004)
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | ALPHA: (84) implies:
% 266.86/37.26 | | | | | | | | (85) ~ c3_1(a1004)
% 266.86/37.26 | | | | | | | | (86) c2_1(a1004)
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | BETA: splitting (1) gives:
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | Case 1:
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | (87) hskp12
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | PRED_UNIFY: (78), (87) imply:
% 266.86/37.26 | | | | | | | | | (88) $false
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | CLOSE: (88) is inconsistent.
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | Case 2:
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | GROUND_INST: instantiating (82) with a1004, simplifying with
% 266.86/37.26 | | | | | | | | | (6), (34), (85), (86) gives:
% 266.86/37.26 | | | | | | | | | (89) c0_1(a1004)
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | REF_CLOSE: (5), (6), (16), (22), (30), (34), (36), (51), (75),
% 266.86/37.26 | | | | | | | | | (76), (77), (85), (86), (89) are inconsistent by
% 266.86/37.26 | | | | | | | | | sub-proof #109.
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | End of split
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | End of split
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | Case 2:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | (90) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.26 | | | | | | | c3_1(v0) | c2_1(v0))
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | GROUND_INST: instantiating (90) with a1044, simplifying with (34),
% 266.86/37.26 | | | | | | | (39), (42), (50) gives:
% 266.86/37.26 | | | | | | | (91) c2_1(a1044)
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | REF_CLOSE: (5), (16), (22), (30), (34), (36), (39), (42), (50),
% 266.86/37.26 | | | | | | | (51), (75), (76), (77), (91) are inconsistent by
% 266.86/37.26 | | | | | | | sub-proof #106.
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | End of split
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | End of split
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | Case 2:
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | (92) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019)
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | ALPHA: (92) implies:
% 266.86/37.26 | | | | | (93) ~ c0_1(a1019)
% 266.86/37.26 | | | | | (94) c2_1(a1019)
% 266.86/37.26 | | | | | (95) c1_1(a1019)
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | BETA: splitting (40) gives:
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | Case 1:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | (96) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.26 | | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | GROUND_INST: instantiating (96) with a1002, simplifying with (19),
% 266.86/37.26 | | | | | | (20), (31), (34), (45) gives:
% 266.86/37.26 | | | | | | (97) $false
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | CLOSE: (97) is inconsistent.
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | Case 2:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | (98) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.26 | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 266.86/37.26 | | | | | | c0_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | BETA: splitting (98) gives:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | Case 1:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | (99) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.26 | | | | | | | c3_1(v0) | c0_1(v0))
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | REF_CLOSE: (9), (12), (17), (34), (93), (94), (95), (99) are
% 266.86/37.26 | | | | | | | inconsistent by sub-proof #140.
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | Case 2:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | (100) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.26 | | | | | | | c3_1(v0) | c2_1(v0))
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | GROUND_INST: instantiating (100) with a1044, simplifying with
% 266.86/37.26 | | | | | | | (34), (39), (42), (50) gives:
% 266.86/37.26 | | | | | | | (101) c2_1(a1044)
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | REF_CLOSE: (5), (16), (22), (30), (34), (36), (39), (42), (50),
% 266.86/37.26 | | | | | | | (51), (75), (76), (77), (101) are inconsistent by
% 266.86/37.26 | | | | | | | sub-proof #106.
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | End of split
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | End of split
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | End of split
% 266.86/37.26 | | | |
% 266.86/37.26 | | | End of split
% 266.86/37.26 | | |
% 266.86/37.26 | | End of split
% 266.86/37.26 | |
% 266.86/37.26 | Case 2:
% 266.86/37.26 | |
% 266.86/37.26 | | (102) c2_1(a1008) & ndr1_0 & ~ c1_1(a1008) & ~ c3_1(a1008)
% 266.86/37.26 | |
% 266.86/37.26 | | ALPHA: (102) implies:
% 266.86/37.26 | | (103) ~ c3_1(a1008)
% 266.86/37.26 | | (104) ~ c1_1(a1008)
% 266.86/37.26 | | (105) c2_1(a1008)
% 266.86/37.26 | |
% 266.86/37.26 | | BETA: splitting (41) gives:
% 266.86/37.26 | |
% 266.86/37.26 | | Case 1:
% 266.86/37.26 | | |
% 266.86/37.26 | | | (106) ~ hskp8
% 266.86/37.26 | | |
% 266.86/37.26 | | | BETA: splitting (32) gives:
% 266.86/37.26 | | |
% 266.86/37.26 | | | Case 1:
% 266.86/37.26 | | | |
% 266.86/37.26 | | | | (107) ~ hskp11
% 266.86/37.26 | | | |
% 266.86/37.26 | | | | BETA: splitting (13) gives:
% 266.86/37.26 | | | |
% 266.86/37.26 | | | | Case 1:
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | (108) ~ hskp14
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | BETA: splitting (25) gives:
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | Case 1:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | (109) ~ hskp6
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | REF_CLOSE: (7), (15), (16), (22), (26), (30), (35), (36), (38),
% 266.86/37.26 | | | | | | (43), (46), (49), (107), (108), (109) are inconsistent by
% 266.86/37.26 | | | | | | sub-proof #103.
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | Case 2:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | (110) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | ALPHA: (110) implies:
% 266.86/37.26 | | | | | | (111) ~ c2_1(a1006)
% 266.86/37.26 | | | | | | (112) c0_1(a1006)
% 266.86/37.26 | | | | | | (113) c3_1(a1006)
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | BETA: splitting (3) gives:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | Case 1:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | (114) ~ hskp26
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | REF_CLOSE: (16), (22), (30), (34), (36), (39), (42), (44), (48),
% 266.86/37.26 | | | | | | | (50), (51), (53), (106), (111), (112), (113), (114) are
% 266.86/37.26 | | | | | | | inconsistent by sub-proof #114.
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | Case 2:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | (115) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052)
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | ALPHA: (115) implies:
% 266.86/37.26 | | | | | | | (116) ~ c0_1(a1052)
% 266.86/37.26 | | | | | | | (117) ~ c2_1(a1052)
% 266.86/37.26 | | | | | | | (118) c3_1(a1052)
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | REF_CLOSE: (4), (8), (16), (22), (23), (30), (34), (36), (49),
% 266.86/37.26 | | | | | | | (103), (104), (105), (107), (116), (117), (118) are
% 266.86/37.26 | | | | | | | inconsistent by sub-proof #120.
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | End of split
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | End of split
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | Case 2:
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | (119) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025)
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | ALPHA: (119) implies:
% 266.86/37.26 | | | | | (120) ~ c2_1(a1025)
% 266.86/37.26 | | | | | (121) ~ c3_1(a1025)
% 266.86/37.26 | | | | | (122) c0_1(a1025)
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | BETA: splitting (47) gives:
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | Case 1:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | (123) ~ hskp9
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | BETA: splitting (37) gives:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | Case 1:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | (124) ~ hskp12
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | REF_CLOSE: (3), (4), (8), (10), (16), (22), (23), (30), (34),
% 266.86/37.26 | | | | | | | (36), (39), (48), (49), (50), (53), (103), (104),
% 266.86/37.26 | | | | | | | (105), (106), (107), (123), (124) are inconsistent by
% 266.86/37.26 | | | | | | | sub-proof #119.
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | Case 2:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | (125) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019)
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | ALPHA: (125) implies:
% 266.86/37.26 | | | | | | | (126) ~ c0_1(a1019)
% 266.86/37.26 | | | | | | | (127) c2_1(a1019)
% 266.86/37.26 | | | | | | | (128) c1_1(a1019)
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | REF_CLOSE: (9), (12), (14), (17), (19), (20), (31), (34), (40),
% 266.86/37.26 | | | | | | | (45), (120), (121), (122), (126), (127), (128) are
% 266.86/37.26 | | | | | | | inconsistent by sub-proof #102.
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | End of split
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | Case 2:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | (129) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | ALPHA: (129) implies:
% 266.86/37.26 | | | | | | (130) ~ c2_1(a1011)
% 266.86/37.26 | | | | | | (131) c0_1(a1011)
% 266.86/37.26 | | | | | | (132) c1_1(a1011)
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | REF_CLOSE: (3), (4), (8), (16), (18), (22), (23), (30), (34), (36),
% 266.86/37.26 | | | | | | (49), (53), (103), (104), (105), (106), (107), (130),
% 266.86/37.26 | | | | | | (131), (132) are inconsistent by sub-proof #117.
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | End of split
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | End of split
% 266.86/37.26 | | | |
% 266.86/37.26 | | | Case 2:
% 266.86/37.26 | | | |
% 266.86/37.26 | | | | (133) c3_1(a1015) & ndr1_0 & ~ c1_1(a1015) & ~ c0_1(a1015)
% 266.86/37.26 | | | |
% 266.86/37.26 | | | | ALPHA: (133) implies:
% 266.86/37.26 | | | | (134) ~ c0_1(a1015)
% 266.86/37.26 | | | | (135) ~ c1_1(a1015)
% 266.86/37.26 | | | | (136) c3_1(a1015)
% 266.86/37.26 | | | |
% 266.86/37.26 | | | | BETA: splitting (13) gives:
% 266.86/37.26 | | | |
% 266.86/37.26 | | | | Case 1:
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | (137) ~ hskp14
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | BETA: splitting (25) gives:
% 266.86/37.26 | | | | |
% 266.86/37.26 | | | | | Case 1:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | (138) ~ hskp6
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | BETA: splitting (43) gives:
% 266.86/37.26 | | | | | |
% 266.86/37.26 | | | | | | Case 1:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | (139) hskp6
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | PRED_UNIFY: (138), (139) imply:
% 266.86/37.26 | | | | | | | (140) $false
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | CLOSE: (140) is inconsistent.
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | Case 2:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | (141) hskp27 | hskp14
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | BETA: splitting (141) gives:
% 266.86/37.26 | | | | | | |
% 266.86/37.26 | | | | | | | Case 1:
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | (142) hskp27
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | BETA: splitting (26) gives:
% 266.86/37.26 | | | | | | | |
% 266.86/37.26 | | | | | | | | Case 1:
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | (143) ~ hskp27
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | PRED_UNIFY: (142), (143) imply:
% 266.86/37.26 | | | | | | | | | (144) $false
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | CLOSE: (144) is inconsistent.
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | Case 2:
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | (145) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | ALPHA: (145) implies:
% 266.86/37.26 | | | | | | | | | (146) c0_1(a1029)
% 266.86/37.26 | | | | | | | | | (147) c2_1(a1029)
% 266.86/37.26 | | | | | | | | | (148) c3_1(a1029)
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | BETA: splitting (38) gives:
% 266.86/37.26 | | | | | | | | |
% 266.86/37.26 | | | | | | | | | Case 1:
% 266.86/37.26 | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | (149) ~ hskp24
% 266.86/37.26 | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | REF_CLOSE: (15), (34), (35), (46), (146), (147), (148), (149)
% 266.86/37.26 | | | | | | | | | | are inconsistent by sub-proof #146.
% 266.86/37.26 | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | Case 2:
% 266.86/37.26 | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | (150) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 266.86/37.26 | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | ALPHA: (150) implies:
% 266.86/37.26 | | | | | | | | | | (151) ~ c0_1(a1045)
% 266.86/37.26 | | | | | | | | | | (152) c3_1(a1045)
% 266.86/37.26 | | | | | | | | | | (153) c1_1(a1045)
% 266.86/37.26 | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | BETA: splitting (3) gives:
% 266.86/37.26 | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | Case 1:
% 266.86/37.26 | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | (154) ~ hskp26
% 266.86/37.26 | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | BETA: splitting (53) gives:
% 266.86/37.26 | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | Case 1:
% 266.86/37.26 | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | (155) hskp8
% 266.86/37.26 | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | PRED_UNIFY: (106), (155) imply:
% 266.86/37.26 | | | | | | | | | | | | (156) $false
% 266.86/37.26 | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | CLOSE: (156) is inconsistent.
% 266.86/37.26 | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | Case 2:
% 266.86/37.26 | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | (157) hskp26 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) |
% 266.86/37.26 | | | | | | | | | | | | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.26 | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | BETA: splitting (157) gives:
% 266.86/37.26 | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | Case 1:
% 266.86/37.26 | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | (158) hskp26
% 266.86/37.26 | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | PRED_UNIFY: (154), (158) imply:
% 266.86/37.26 | | | | | | | | | | | | | (159) $false
% 266.86/37.26 | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | CLOSE: (159) is inconsistent.
% 266.86/37.26 | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | Case 2:
% 266.86/37.26 | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | (160) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 266.86/37.26 | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 266.86/37.26 | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | GROUND_INST: instantiating (160) with a1044, simplifying with
% 266.86/37.26 | | | | | | | | | | | | | (34), (39), (48), (50) gives:
% 266.86/37.26 | | | | | | | | | | | | | (161) c2_1(a1044)
% 266.86/37.26 | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | BETA: splitting (4) gives:
% 266.86/37.26 | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | Case 1:
% 266.86/37.26 | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | (162) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 266.86/37.26 | | | | | | | | | | | | | | | c1_1(v0) | c0_1(v0))
% 266.86/37.26 | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | GROUND_INST: instantiating (162) with a1015, simplifying with
% 266.86/37.26 | | | | | | | | | | | | | | (29), (34), (134), (135), (136) gives:
% 266.86/37.26 | | | | | | | | | | | | | | (163) $false
% 266.86/37.26 | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | CLOSE: (163) is inconsistent.
% 266.86/37.26 | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | Case 2:
% 266.86/37.26 | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | (164) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 266.86/37.26 | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~
% 266.86/37.26 | | | | | | | | | | | | | | $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 266.86/37.26 | | | | | | | | | | | | | | c3_1(v0))
% 266.86/37.26 | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 266.86/37.26 | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | Case 1:
% 266.86/37.26 | | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | | (165) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0
% 266.86/37.26 | | | | | | | | | | | | | | | | c2_1(v0) | c0_1(v0))
% 266.86/37.26 | | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | | GROUND_INST: instantiating (165) with a1015, simplifying with
% 266.86/37.26 | | | | | | | | | | | | | | | (29), (34), (134), (136) gives:
% 266.86/37.26 | | | | | | | | | | | | | | | (166) c2_1(a1015)
% 266.86/37.26 | | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | | BETA: splitting (51) gives:
% 266.86/37.26 | | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | | Case 1:
% 266.86/37.26 | | | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | | | (167) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0
% 266.86/37.26 | | | | | | | | | | | | | | | | | c3_1(v0) | c0_1(v0))
% 266.86/37.26 | | | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | | | GROUND_INST: instantiating (167) with a1048, simplifying with
% 266.86/37.26 | | | | | | | | | | | | | | | | (16), (22), (30), (34), (36) gives:
% 266.86/37.26 | | | | | | | | | | | | | | | | (168) $false
% 266.86/37.26 | | | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | | | CLOSE: (168) is inconsistent.
% 266.86/37.26 | | | | | | | | | | | | | | | |
% 266.86/37.26 | | | | | | | | | | | | | | | Case 2:
% 266.86/37.26 | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | | (169) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.27 | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] :
% 266.86/37.27 | | | | | | | | | | | | | | | | ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 266.86/37.27 | | | | | | | | | | | | | | | | | c3_1(v0))
% 266.86/37.27 | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | | BETA: splitting (169) gives:
% 266.86/37.27 | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | | Case 1:
% 266.86/37.27 | | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | | | (170) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.27 | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 266.86/37.27 | | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (170) with a1029, simplifying with
% 266.86/37.27 | | | | | | | | | | | | | | | | | (15), (34), (146), (148) gives:
% 266.86/37.27 | | | | | | | | | | | | | | | | | (171) c1_1(a1029)
% 266.86/37.27 | | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (9), (15), (29), (34), (134), (136), (147),
% 266.86/37.27 | | | | | | | | | | | | | | | | | (148), (151), (152), (153), (166), (171) are
% 266.86/37.27 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #131.
% 266.86/37.27 | | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | | Case 2:
% 266.86/37.27 | | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | | | (172) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 266.86/37.27 | | | | | | | | | | | | | | | | | c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.27 | | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (172) with a1044, simplifying with
% 266.86/37.27 | | | | | | | | | | | | | | | | | (34), (39), (42), (50), (161) gives:
% 266.86/37.27 | | | | | | | | | | | | | | | | | (173) $false
% 266.86/37.27 | | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | | | CLOSE: (173) is inconsistent.
% 266.86/37.27 | | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | | End of split
% 266.86/37.27 | | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | End of split
% 266.86/37.27 | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | Case 2:
% 266.86/37.27 | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | (174) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 266.86/37.27 | | | | | | | | | | | | | | | | c1_1(v0) | c3_1(v0))
% 266.86/37.27 | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | GROUND_INST: instantiating (174) with a1008, simplifying with
% 266.86/37.27 | | | | | | | | | | | | | | | (23), (34), (103), (104), (105) gives:
% 266.86/37.27 | | | | | | | | | | | | | | | (175) $false
% 266.86/37.27 | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | | CLOSE: (175) is inconsistent.
% 266.86/37.27 | | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | | End of split
% 266.86/37.27 | | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | | End of split
% 266.86/37.27 | | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | | End of split
% 266.86/37.27 | | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | End of split
% 266.86/37.27 | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | Case 2:
% 266.86/37.27 | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | (176) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~
% 266.86/37.27 | | | | | | | | | | | c0_1(a1052)
% 266.86/37.27 | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | ALPHA: (176) implies:
% 266.86/37.27 | | | | | | | | | | | (177) ~ c0_1(a1052)
% 266.86/37.27 | | | | | | | | | | | (178) ~ c2_1(a1052)
% 266.86/37.27 | | | | | | | | | | | (179) c3_1(a1052)
% 266.86/37.27 | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | | REF_CLOSE: (4), (8), (23), (29), (34), (103), (104), (105),
% 266.86/37.27 | | | | | | | | | | | (134), (135), (136), (177), (178), (179) are
% 266.86/37.27 | | | | | | | | | | | inconsistent by sub-proof #125.
% 266.86/37.27 | | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | | End of split
% 266.86/37.27 | | | | | | | | | |
% 266.86/37.27 | | | | | | | | | End of split
% 266.86/37.27 | | | | | | | | |
% 266.86/37.27 | | | | | | | | End of split
% 266.86/37.27 | | | | | | | |
% 266.86/37.27 | | | | | | | Case 2:
% 266.86/37.27 | | | | | | | |
% 266.86/37.27 | | | | | | | | (180) hskp14
% 266.86/37.27 | | | | | | | |
% 266.86/37.27 | | | | | | | | PRED_UNIFY: (137), (180) imply:
% 266.86/37.27 | | | | | | | | (181) $false
% 266.86/37.27 | | | | | | | |
% 266.86/37.27 | | | | | | | | CLOSE: (181) is inconsistent.
% 266.86/37.27 | | | | | | | |
% 266.86/37.27 | | | | | | | End of split
% 266.86/37.27 | | | | | | |
% 266.86/37.27 | | | | | | End of split
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | Case 2:
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | (182) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | REF_CLOSE: (3), (4), (8), (16), (22), (23), (29), (30), (36), (39),
% 266.86/37.27 | | | | | | (42), (44), (48), (50), (51), (53), (103), (104), (105),
% 266.86/37.27 | | | | | | (106), (134), (135), (136), (182) are inconsistent by
% 266.86/37.27 | | | | | | sub-proof #113.
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | End of split
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | Case 2:
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | | (183) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025)
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | | ALPHA: (183) implies:
% 266.86/37.27 | | | | | (184) ~ c2_1(a1025)
% 266.86/37.27 | | | | | (185) ~ c3_1(a1025)
% 266.86/37.27 | | | | | (186) c0_1(a1025)
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | | BETA: splitting (37) gives:
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | | Case 1:
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | (187) ~ hskp12
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | REF_CLOSE: (3), (4), (8), (16), (22), (23), (25), (29), (30), (34),
% 266.86/37.27 | | | | | | (36), (39), (42), (44), (48), (50), (51), (52), (53),
% 266.86/37.27 | | | | | | (103), (104), (105), (106), (134), (135), (136), (187)
% 266.86/37.27 | | | | | | are inconsistent by sub-proof #112.
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | Case 2:
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | (188) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019)
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | ALPHA: (188) implies:
% 266.86/37.27 | | | | | | (189) ~ c0_1(a1019)
% 266.86/37.27 | | | | | | (190) c2_1(a1019)
% 266.86/37.27 | | | | | | (191) c1_1(a1019)
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | REF_CLOSE: (9), (12), (14), (17), (19), (20), (31), (34), (40),
% 266.86/37.27 | | | | | | (45), (184), (185), (186), (189), (190), (191) are
% 266.86/37.27 | | | | | | inconsistent by sub-proof #102.
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | End of split
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | End of split
% 266.86/37.27 | | | |
% 266.86/37.27 | | | End of split
% 266.86/37.27 | | |
% 266.86/37.27 | | Case 2:
% 266.86/37.27 | | |
% 266.86/37.27 | | | (192) c3_1(a1010) & c0_1(a1010) & ndr1_0 & ~ c1_1(a1010)
% 266.86/37.27 | | |
% 266.86/37.27 | | | ALPHA: (192) implies:
% 266.86/37.27 | | | (193) ~ c1_1(a1010)
% 266.86/37.27 | | | (194) c0_1(a1010)
% 266.86/37.27 | | | (195) c3_1(a1010)
% 266.86/37.27 | | |
% 266.86/37.27 | | | BETA: splitting (51) gives:
% 266.86/37.27 | | |
% 266.86/37.27 | | | Case 1:
% 266.86/37.27 | | | |
% 266.86/37.27 | | | | (196) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.27 | | | | c0_1(v0))
% 266.86/37.27 | | | |
% 266.86/37.27 | | | | GROUND_INST: instantiating (196) with a1048, simplifying with (16),
% 266.86/37.27 | | | | (22), (30), (34), (36) gives:
% 266.86/37.27 | | | | (197) $false
% 266.86/37.27 | | | |
% 266.86/37.27 | | | | CLOSE: (197) is inconsistent.
% 266.86/37.27 | | | |
% 266.86/37.27 | | | Case 2:
% 266.86/37.27 | | | |
% 266.86/37.27 | | | | (198) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.27 | | | | ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) |
% 266.86/37.27 | | | | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 266.86/37.27 | | | |
% 266.86/37.27 | | | | BETA: splitting (198) gives:
% 266.86/37.27 | | | |
% 266.86/37.27 | | | | Case 1:
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | | (199) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.27 | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | | GROUND_INST: instantiating (199) with a1010, simplifying with (5),
% 266.86/37.27 | | | | | (34), (193), (194), (195) gives:
% 266.86/37.27 | | | | | (200) $false
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | | CLOSE: (200) is inconsistent.
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | Case 2:
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | | (201) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.27 | | | | | ndr1_0 | c3_1(v0))
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | | BETA: splitting (40) gives:
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | | Case 1:
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | (202) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 266.86/37.27 | | | | | | ndr1_0 | c1_1(v0))
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | GROUND_INST: instantiating (202) with a1002, simplifying with (19),
% 266.86/37.27 | | | | | | (20), (31), (34), (45) gives:
% 266.86/37.27 | | | | | | (203) $false
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | CLOSE: (203) is inconsistent.
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | Case 2:
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | (204) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.27 | | | | | | c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 266.86/37.27 | | | | | | c0_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | BETA: splitting (204) gives:
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | | Case 1:
% 266.86/37.27 | | | | | | |
% 266.86/37.27 | | | | | | | (205) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.27 | | | | | | | c3_1(v0) | c0_1(v0))
% 266.86/37.27 | | | | | | |
% 266.86/37.27 | | | | | | | GROUND_INST: instantiating (205) with a1008, simplifying with
% 266.86/37.27 | | | | | | | (23), (34), (103), (105) gives:
% 266.86/37.27 | | | | | | | (206) c0_1(a1008)
% 266.86/37.27 | | | | | | |
% 266.86/37.27 | | | | | | | GROUND_INST: instantiating (201) with a1008, simplifying with
% 266.86/37.27 | | | | | | | (23), (34), (103), (105), (206) gives:
% 266.86/37.27 | | | | | | | (207) $false
% 266.86/37.27 | | | | | | |
% 266.86/37.27 | | | | | | | CLOSE: (207) is inconsistent.
% 266.86/37.27 | | | | | | |
% 266.86/37.27 | | | | | | Case 2:
% 266.86/37.27 | | | | | | |
% 266.86/37.27 | | | | | | | (208) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.27 | | | | | | | c3_1(v0) | c2_1(v0))
% 266.86/37.27 | | | | | | |
% 266.86/37.27 | | | | | | | GROUND_INST: instantiating (208) with a1044, simplifying with
% 266.86/37.27 | | | | | | | (34), (39), (42), (50) gives:
% 266.86/37.27 | | | | | | | (209) c2_1(a1044)
% 266.86/37.27 | | | | | | |
% 266.86/37.27 | | | | | | | GROUND_INST: instantiating (201) with a1044, simplifying with
% 266.86/37.27 | | | | | | | (34), (39), (42), (50), (209) gives:
% 266.86/37.27 | | | | | | | (210) $false
% 266.86/37.27 | | | | | | |
% 266.86/37.27 | | | | | | | CLOSE: (210) is inconsistent.
% 266.86/37.27 | | | | | | |
% 266.86/37.27 | | | | | | End of split
% 266.86/37.27 | | | | | |
% 266.86/37.27 | | | | | End of split
% 266.86/37.27 | | | | |
% 266.86/37.27 | | | | End of split
% 266.86/37.27 | | | |
% 266.86/37.27 | | | End of split
% 266.86/37.27 | | |
% 266.86/37.27 | | End of split
% 266.86/37.27 | |
% 266.86/37.27 | End of split
% 266.86/37.27 |
% 266.86/37.27 End of proof
% 266.86/37.27
% 266.86/37.27 Sub-proof #102 shows that the following formulas are inconsistent:
% 266.86/37.27 ----------------------------------------------------------------
% 266.86/37.27 (1) ~ c3_1(a1025)
% 266.86/37.27 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 266.86/37.27 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 266.86/37.27 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 266.86/37.27 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 266.86/37.27 (3) $i(a1019)
% 266.86/37.27 (4) $i(a1025)
% 266.86/37.27 (5) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 266.86/37.27 (6) ~ c1_1(a1002)
% 266.86/37.27 (7) c2_1(a1002)
% 266.86/37.27 (8) c0_1(a1025)
% 266.86/37.27 (9) $i(a1002)
% 266.86/37.27 (10) ndr1_0
% 266.86/37.27 (11) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.27 c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 266.86/37.27 c3_1(v0) | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~
% 266.86/37.27 ndr1_0 | c3_1(v0) | c2_1(v0))
% 266.86/37.27 (12) ~ c2_1(a1025)
% 266.86/37.27 (13) c0_1(a1002)
% 266.86/37.27 (14) c2_1(a1019)
% 266.86/37.27 (15) c1_1(a1019)
% 266.86/37.27 (16) ~ c0_1(a1019)
% 266.86/37.27
% 266.86/37.27 Begin of proof
% 266.86/37.27 |
% 266.86/37.27 | BETA: splitting (11) gives:
% 266.86/37.27 |
% 266.86/37.27 | Case 1:
% 266.86/37.27 | |
% 266.86/37.27 | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.27 | | c1_1(v0))
% 266.86/37.27 | |
% 266.86/37.27 | | GROUND_INST: instantiating (17) with a1002, simplifying with (6), (7), (9),
% 266.86/37.27 | | (10), (13) gives:
% 266.86/37.27 | | (18) $false
% 266.86/37.27 | |
% 266.86/37.27 | | CLOSE: (18) is inconsistent.
% 266.86/37.27 | |
% 266.86/37.27 | Case 2:
% 266.86/37.27 | |
% 266.86/37.27 | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 266.86/37.27 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 266.86/37.27 | | c3_1(v0) | c2_1(v0))
% 266.86/37.27 | |
% 266.86/37.27 | | BETA: splitting (19) gives:
% 266.86/37.27 | |
% 266.86/37.27 | | Case 1:
% 266.86/37.27 | | |
% 267.13/37.27 | | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.27 | | | c0_1(v0))
% 267.13/37.27 | | |
% 267.13/37.27 | | | REF_CLOSE: (2), (3), (5), (10), (14), (15), (16), (20) are inconsistent by
% 267.13/37.27 | | | sub-proof #140.
% 267.13/37.27 | | |
% 267.13/37.27 | | Case 2:
% 267.13/37.27 | | |
% 267.13/37.27 | | | (21) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.27 | | | c2_1(v0))
% 267.13/37.27 | | |
% 267.13/37.27 | | | GROUND_INST: instantiating (21) with a1025, simplifying with (1), (4),
% 267.13/37.27 | | | (8), (10), (12) gives:
% 267.13/37.27 | | | (22) $false
% 267.13/37.27 | | |
% 267.13/37.27 | | | CLOSE: (22) is inconsistent.
% 267.13/37.27 | | |
% 267.13/37.27 | | End of split
% 267.13/37.27 | |
% 267.13/37.27 | End of split
% 267.13/37.27 |
% 267.13/37.27 End of proof
% 267.13/37.27
% 267.13/37.27 Sub-proof #103 shows that the following formulas are inconsistent:
% 267.13/37.27 ----------------------------------------------------------------
% 267.13/37.27 (1) $i(a1045)
% 267.13/37.27 (2) ~ hskp6
% 267.13/37.27 (3) $i(a1029)
% 267.13/37.27 (4) c1_1(a1048)
% 267.13/37.27 (5) ~ c3_1(a1048)
% 267.13/37.27 (6) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 267.13/37.27 (7) $i(a1048)
% 267.13/37.27 (8) ~ hskp3
% 267.13/37.27 (9) ~ c0_1(a1048)
% 267.13/37.27 (10) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 267.13/37.27 (11) ~ hskp14
% 267.13/37.27 (12) hskp27 | hskp14 | hskp6
% 267.13/37.27 (13) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 267.13/37.27 ~ c0_1(v0) | ~ ndr1_0)
% 267.13/37.27 (14) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 267.13/37.27 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 267.13/37.27 ndr1_0 | c3_1(v0) | c0_1(v0))
% 267.13/37.27 (15) ~ hskp11
% 267.13/37.27
% 267.13/37.27 Begin of proof
% 267.13/37.27 |
% 267.13/37.27 | BETA: splitting (12) gives:
% 267.13/37.27 |
% 267.13/37.27 | Case 1:
% 267.13/37.27 | |
% 267.13/37.27 | | (16) hskp6
% 267.13/37.27 | |
% 267.13/37.27 | | PRED_UNIFY: (2), (16) imply:
% 267.13/37.27 | | (17) $false
% 267.13/37.27 | |
% 267.13/37.27 | | CLOSE: (17) is inconsistent.
% 267.13/37.27 | |
% 267.13/37.27 | Case 2:
% 267.13/37.27 | |
% 267.13/37.27 | | (18) hskp27 | hskp14
% 267.13/37.27 | |
% 267.13/37.27 | | BETA: splitting (18) gives:
% 267.13/37.27 | |
% 267.13/37.27 | | Case 1:
% 267.13/37.27 | | |
% 267.13/37.27 | | | (19) hskp27
% 267.13/37.27 | | |
% 267.13/37.27 | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (13), (14), (15),
% 267.13/37.27 | | | (19) are inconsistent by sub-proof #104.
% 267.13/37.27 | | |
% 267.13/37.27 | | Case 2:
% 267.13/37.27 | | |
% 267.13/37.27 | | | (20) hskp14
% 267.13/37.27 | | |
% 267.13/37.27 | | | PRED_UNIFY: (11), (20) imply:
% 267.13/37.27 | | | (21) $false
% 267.13/37.27 | | |
% 267.13/37.27 | | | CLOSE: (21) is inconsistent.
% 267.13/37.27 | | |
% 267.13/37.27 | | End of split
% 267.13/37.27 | |
% 267.13/37.27 | End of split
% 267.13/37.27 |
% 267.13/37.27 End of proof
% 267.13/37.27
% 267.13/37.27 Sub-proof #104 shows that the following formulas are inconsistent:
% 267.13/37.27 ----------------------------------------------------------------
% 267.13/37.28 (1) $i(a1045)
% 267.13/37.28 (2) $i(a1029)
% 267.13/37.28 (3) c1_1(a1048)
% 267.13/37.28 (4) ~ c3_1(a1048)
% 267.13/37.28 (5) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 267.13/37.28 (6) $i(a1048)
% 267.13/37.28 (7) hskp27
% 267.13/37.28 (8) ~ hskp3
% 267.13/37.28 (9) ~ c0_1(a1048)
% 267.13/37.28 (10) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 267.13/37.28 (11) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 267.13/37.28 ~ c0_1(v0) | ~ ndr1_0)
% 267.13/37.28 (12) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 267.13/37.28 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 267.13/37.28 ndr1_0 | c3_1(v0) | c0_1(v0))
% 267.13/37.28 (13) ~ hskp11
% 267.13/37.28
% 267.13/37.28 Begin of proof
% 267.13/37.28 |
% 267.13/37.28 | BETA: splitting (5) gives:
% 267.13/37.28 |
% 267.13/37.28 | Case 1:
% 267.13/37.28 | |
% 267.13/37.28 | | (14) ~ hskp27
% 267.13/37.28 | |
% 267.13/37.28 | | PRED_UNIFY: (7), (14) imply:
% 267.13/37.28 | | (15) $false
% 267.13/37.28 | |
% 267.13/37.28 | | CLOSE: (15) is inconsistent.
% 267.13/37.28 | |
% 267.13/37.28 | Case 2:
% 267.13/37.28 | |
% 267.13/37.28 | | (16) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 267.13/37.28 | |
% 267.13/37.28 | | ALPHA: (16) implies:
% 267.13/37.28 | | (17) ndr1_0
% 267.13/37.28 | | (18) c0_1(a1029)
% 267.13/37.28 | | (19) c2_1(a1029)
% 267.13/37.28 | | (20) c3_1(a1029)
% 267.13/37.28 | |
% 267.13/37.28 | | BETA: splitting (10) gives:
% 267.13/37.28 | |
% 267.13/37.28 | | Case 1:
% 267.13/37.28 | | |
% 267.13/37.28 | | | (21) ~ hskp24
% 267.13/37.28 | | |
% 267.13/37.28 | | | REF_CLOSE: (2), (8), (11), (17), (18), (19), (20), (21) are inconsistent
% 267.13/37.28 | | | by sub-proof #146.
% 267.13/37.28 | | |
% 267.13/37.28 | | Case 2:
% 267.13/37.28 | | |
% 267.13/37.28 | | | (22) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 267.13/37.28 | | |
% 267.13/37.28 | | | ALPHA: (22) implies:
% 267.13/37.28 | | | (23) ~ c0_1(a1045)
% 267.13/37.28 | | | (24) c3_1(a1045)
% 267.13/37.28 | | | (25) c1_1(a1045)
% 267.13/37.28 | | |
% 267.13/37.28 | | | REF_CLOSE: (1), (3), (4), (6), (9), (12), (13), (17), (23), (24), (25) are
% 267.13/37.28 | | | inconsistent by sub-proof #105.
% 267.13/37.28 | | |
% 267.13/37.28 | | End of split
% 267.13/37.28 | |
% 267.13/37.28 | End of split
% 267.13/37.28 |
% 267.13/37.28 End of proof
% 267.13/37.28
% 267.13/37.28 Sub-proof #105 shows that the following formulas are inconsistent:
% 267.13/37.28 ----------------------------------------------------------------
% 267.13/37.28 (1) $i(a1045)
% 267.13/37.28 (2) c1_1(a1048)
% 267.13/37.28 (3) ~ c3_1(a1048)
% 267.13/37.28 (4) c1_1(a1045)
% 267.13/37.28 (5) c3_1(a1045)
% 267.13/37.28 (6) $i(a1048)
% 267.13/37.28 (7) ndr1_0
% 267.13/37.28 (8) ~ c0_1(a1048)
% 267.13/37.28 (9) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0
% 267.13/37.28 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 267.13/37.28 c3_1(v0) | c0_1(v0))
% 267.13/37.28 (10) ~ c0_1(a1045)
% 267.13/37.28 (11) ~ hskp11
% 267.13/37.28
% 267.13/37.28 Begin of proof
% 267.13/37.28 |
% 267.13/37.28 | BETA: splitting (9) gives:
% 267.13/37.28 |
% 267.13/37.28 | Case 1:
% 267.13/37.28 | |
% 267.13/37.28 | | (12) hskp11
% 267.13/37.28 | |
% 267.13/37.28 | | PRED_UNIFY: (11), (12) imply:
% 267.13/37.28 | | (13) $false
% 267.13/37.28 | |
% 267.13/37.28 | | CLOSE: (13) is inconsistent.
% 267.13/37.28 | |
% 267.13/37.28 | Case 2:
% 267.13/37.28 | |
% 267.13/37.28 | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 267.13/37.28 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 267.13/37.28 | | c3_1(v0) | c0_1(v0))
% 267.13/37.28 | |
% 267.13/37.28 | | BETA: splitting (14) gives:
% 267.13/37.28 | |
% 267.13/37.28 | | Case 1:
% 267.13/37.28 | | |
% 267.13/37.28 | | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 267.13/37.28 | | | c0_1(v0))
% 267.13/37.28 | | |
% 267.13/37.28 | | | GROUND_INST: instantiating (15) with a1045, simplifying with (1), (4),
% 267.13/37.28 | | | (5), (7), (10) gives:
% 267.13/37.28 | | | (16) $false
% 267.13/37.28 | | |
% 267.13/37.28 | | | CLOSE: (16) is inconsistent.
% 267.13/37.28 | | |
% 267.13/37.28 | | Case 2:
% 267.13/37.28 | | |
% 267.13/37.28 | | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.28 | | | c0_1(v0))
% 267.13/37.28 | | |
% 267.13/37.28 | | | GROUND_INST: instantiating (17) with a1048, simplifying with (2), (3),
% 267.13/37.28 | | | (6), (7), (8) gives:
% 267.13/37.28 | | | (18) $false
% 267.13/37.28 | | |
% 267.13/37.28 | | | CLOSE: (18) is inconsistent.
% 267.13/37.28 | | |
% 267.13/37.28 | | End of split
% 267.13/37.28 | |
% 267.13/37.28 | End of split
% 267.13/37.28 |
% 267.13/37.28 End of proof
% 267.13/37.28
% 267.13/37.28 Sub-proof #106 shows that the following formulas are inconsistent:
% 267.13/37.28 ----------------------------------------------------------------
% 267.13/37.28 (1) $i(a1010)
% 267.13/37.28 (2) ~ c1_1(a1010)
% 267.13/37.28 (3) c1_1(a1048)
% 267.13/37.28 (4) c2_1(a1044)
% 267.13/37.28 (5) ~ c3_1(a1048)
% 267.13/37.28 (6) c3_1(a1010)
% 267.13/37.28 (7) c0_1(a1010)
% 267.13/37.28 (8) $i(a1048)
% 267.13/37.28 (9) ndr1_0
% 267.13/37.28 (10) ~ c0_1(a1048)
% 267.13/37.28 (11) $i(a1044)
% 267.13/37.28 (12) ~ c3_1(a1044)
% 267.13/37.28 (13) c0_1(a1044)
% 267.13/37.28 (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.28 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.28 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.28 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.28
% 267.13/37.28 Begin of proof
% 267.13/37.28 |
% 267.13/37.28 | BETA: splitting (14) gives:
% 267.13/37.28 |
% 267.13/37.28 | Case 1:
% 267.13/37.28 | |
% 267.13/37.28 | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.28 | | c0_1(v0))
% 267.13/37.28 | |
% 267.13/37.28 | | GROUND_INST: instantiating (15) with a1048, simplifying with (3), (5), (8),
% 267.13/37.28 | | (9), (10) gives:
% 267.13/37.28 | | (16) $false
% 267.13/37.28 | |
% 267.13/37.28 | | CLOSE: (16) is inconsistent.
% 267.13/37.28 | |
% 267.13/37.28 | Case 2:
% 267.13/37.28 | |
% 267.13/37.28 | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.28 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 267.13/37.28 | | ~ ndr1_0 | c3_1(v0))
% 267.13/37.28 | |
% 267.13/37.28 | | BETA: splitting (17) gives:
% 267.13/37.28 | |
% 267.13/37.28 | | Case 1:
% 267.13/37.28 | | |
% 267.13/37.28 | | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.28 | | | c1_1(v0))
% 267.13/37.28 | | |
% 267.13/37.28 | | | GROUND_INST: instantiating (18) with a1010, simplifying with (1), (2),
% 267.13/37.28 | | | (6), (7), (9) gives:
% 267.13/37.28 | | | (19) $false
% 267.13/37.28 | | |
% 267.13/37.28 | | | CLOSE: (19) is inconsistent.
% 267.13/37.28 | | |
% 267.13/37.28 | | Case 2:
% 267.13/37.28 | | |
% 267.13/37.28 | | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.28 | | | c3_1(v0))
% 267.13/37.28 | | |
% 267.13/37.28 | | | GROUND_INST: instantiating (20) with a1044, simplifying with (4), (9),
% 267.13/37.28 | | | (11), (12), (13) gives:
% 267.13/37.28 | | | (21) $false
% 267.13/37.28 | | |
% 267.13/37.28 | | | CLOSE: (21) is inconsistent.
% 267.13/37.28 | | |
% 267.13/37.28 | | End of split
% 267.13/37.28 | |
% 267.13/37.28 | End of split
% 267.13/37.28 |
% 267.13/37.28 End of proof
% 267.13/37.28
% 267.13/37.28 Sub-proof #107 shows that the following formulas are inconsistent:
% 267.13/37.28 ----------------------------------------------------------------
% 267.13/37.28 (1) $i(a1010)
% 267.13/37.28 (2) $i(a1004)
% 267.13/37.28 (3) ~ hskp7
% 267.13/37.28 (4) ~ c1_1(a1010)
% 267.13/37.28 (5) c1_1(a1048)
% 267.13/37.28 (6) ~ hskp4 | (c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004))
% 267.13/37.28 (7) ~ c3_1(a1048)
% 267.13/37.28 (8) c3_1(a1010)
% 267.13/37.28 (9) $i(a1041)
% 267.13/37.28 (10) c0_1(a1010)
% 267.13/37.28 (11) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 267.13/37.28 (12) $i(a1048)
% 267.13/37.28 (13) hskp21 | hskp7 | hskp4
% 267.13/37.28 (14) ~ c0_1(a1048)
% 267.13/37.28 (15) ~ hskp2
% 267.13/37.28 (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.28 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.28 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.28 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.28 (17) hskp2 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 267.13/37.28 c2_1(v0)) | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0)
% 267.13/37.28 | c0_1(v0))
% 267.13/37.28 (18) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.28 c0_1(v0))
% 267.13/37.28
% 267.13/37.28 Begin of proof
% 267.13/37.28 |
% 267.13/37.28 | BETA: splitting (6) gives:
% 267.13/37.28 |
% 267.13/37.28 | Case 1:
% 267.13/37.28 | |
% 267.13/37.28 | | (19) ~ hskp4
% 267.13/37.28 | |
% 267.13/37.28 | | REF_CLOSE: (3), (9), (11), (13), (18), (19) are inconsistent by sub-proof
% 267.13/37.28 | | #110.
% 267.13/37.28 | |
% 267.13/37.28 | Case 2:
% 267.13/37.28 | |
% 267.13/37.28 | | (20) c1_1(a1004) & c2_1(a1004) & ndr1_0 & ~ c3_1(a1004)
% 267.13/37.28 | |
% 267.13/37.28 | | ALPHA: (20) implies:
% 267.13/37.28 | | (21) ~ c3_1(a1004)
% 267.13/37.28 | | (22) ndr1_0
% 267.13/37.28 | | (23) c2_1(a1004)
% 267.13/37.28 | |
% 267.13/37.28 | | REF_CLOSE: (1), (2), (4), (5), (7), (8), (10), (12), (14), (15), (16), (17),
% 267.13/37.28 | | (18), (21), (22), (23) are inconsistent by sub-proof #108.
% 267.13/37.28 | |
% 267.13/37.28 | End of split
% 267.13/37.28 |
% 267.13/37.28 End of proof
% 267.13/37.28
% 267.13/37.28 Sub-proof #108 shows that the following formulas are inconsistent:
% 267.13/37.28 ----------------------------------------------------------------
% 267.13/37.28 (1) ~ c3_1(a1004)
% 267.13/37.28 (2) $i(a1010)
% 267.13/37.28 (3) $i(a1004)
% 267.13/37.28 (4) c2_1(a1004)
% 267.13/37.28 (5) ~ c1_1(a1010)
% 267.13/37.28 (6) c1_1(a1048)
% 267.13/37.28 (7) ~ c3_1(a1048)
% 267.13/37.28 (8) c3_1(a1010)
% 267.13/37.28 (9) c0_1(a1010)
% 267.13/37.28 (10) $i(a1048)
% 267.13/37.28 (11) ndr1_0
% 267.13/37.28 (12) ~ c0_1(a1048)
% 267.13/37.28 (13) ~ hskp2
% 267.13/37.28 (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.28 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.28 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.28 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.28 (15) hskp2 | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0) |
% 267.13/37.28 c2_1(v0)) | ? [v0: $i] : ( ~ $i(v0) | ~ ndr1_0 | c1_1(v0) | c3_1(v0)
% 267.13/37.28 | c0_1(v0))
% 267.13/37.28 (16) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.28 c0_1(v0))
% 267.13/37.28
% 267.13/37.28 Begin of proof
% 267.13/37.28 |
% 267.13/37.28 | BETA: splitting (15) gives:
% 267.13/37.28 |
% 267.13/37.28 | Case 1:
% 267.13/37.28 | |
% 267.13/37.28 | | (17) hskp2
% 267.13/37.28 | |
% 267.13/37.28 | | PRED_UNIFY: (13), (17) imply:
% 267.13/37.28 | | (18) $false
% 267.13/37.28 | |
% 267.13/37.28 | | CLOSE: (18) is inconsistent.
% 267.13/37.28 | |
% 267.13/37.28 | Case 2:
% 267.13/37.28 | |
% 267.13/37.28 | |
% 267.13/37.28 | | GROUND_INST: instantiating (16) with a1004, simplifying with (1), (3), (4),
% 267.13/37.28 | | (11) gives:
% 267.13/37.28 | | (19) c0_1(a1004)
% 267.13/37.28 | |
% 267.13/37.28 | | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 267.13/37.28 | | (14), (19) are inconsistent by sub-proof #109.
% 267.13/37.28 | |
% 267.13/37.28 | End of split
% 267.13/37.28 |
% 267.13/37.28 End of proof
% 267.13/37.28
% 267.13/37.28 Sub-proof #109 shows that the following formulas are inconsistent:
% 267.13/37.28 ----------------------------------------------------------------
% 267.13/37.28 (1) ~ c3_1(a1004)
% 267.13/37.28 (2) $i(a1010)
% 267.13/37.28 (3) $i(a1004)
% 267.13/37.28 (4) c2_1(a1004)
% 267.13/37.28 (5) ~ c1_1(a1010)
% 267.13/37.28 (6) c1_1(a1048)
% 267.13/37.28 (7) c0_1(a1004)
% 267.13/37.28 (8) ~ c3_1(a1048)
% 267.13/37.28 (9) c3_1(a1010)
% 267.13/37.28 (10) c0_1(a1010)
% 267.13/37.28 (11) $i(a1048)
% 267.13/37.28 (12) ndr1_0
% 267.13/37.29 (13) ~ c0_1(a1048)
% 267.13/37.29 (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.29 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.29 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.29 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.29
% 267.13/37.29 Begin of proof
% 267.13/37.29 |
% 267.13/37.29 | BETA: splitting (14) gives:
% 267.13/37.29 |
% 267.13/37.29 | Case 1:
% 267.13/37.29 | |
% 267.13/37.29 | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.29 | | c0_1(v0))
% 267.13/37.29 | |
% 267.13/37.29 | | GROUND_INST: instantiating (15) with a1048, simplifying with (6), (8), (11),
% 267.13/37.29 | | (12), (13) gives:
% 267.13/37.29 | | (16) $false
% 267.13/37.29 | |
% 267.13/37.29 | | CLOSE: (16) is inconsistent.
% 267.13/37.29 | |
% 267.13/37.29 | Case 2:
% 267.13/37.29 | |
% 267.13/37.29 | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.29 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 267.13/37.29 | | ~ ndr1_0 | c3_1(v0))
% 267.13/37.29 | |
% 267.13/37.29 | | BETA: splitting (17) gives:
% 267.13/37.29 | |
% 267.13/37.29 | | Case 1:
% 267.13/37.29 | | |
% 267.13/37.29 | | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.29 | | | c1_1(v0))
% 267.13/37.29 | | |
% 267.13/37.29 | | | GROUND_INST: instantiating (18) with a1010, simplifying with (2), (5),
% 267.13/37.29 | | | (9), (10), (12) gives:
% 267.13/37.29 | | | (19) $false
% 267.13/37.29 | | |
% 267.13/37.29 | | | CLOSE: (19) is inconsistent.
% 267.13/37.29 | | |
% 267.13/37.29 | | Case 2:
% 267.13/37.29 | | |
% 267.13/37.29 | | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.29 | | | c3_1(v0))
% 267.13/37.29 | | |
% 267.13/37.29 | | | GROUND_INST: instantiating (20) with a1004, simplifying with (1), (3),
% 267.13/37.29 | | | (4), (7), (12) gives:
% 267.13/37.29 | | | (21) $false
% 267.13/37.29 | | |
% 267.13/37.29 | | | CLOSE: (21) is inconsistent.
% 267.13/37.29 | | |
% 267.13/37.29 | | End of split
% 267.13/37.29 | |
% 267.13/37.29 | End of split
% 267.13/37.29 |
% 267.13/37.29 End of proof
% 267.13/37.29
% 267.13/37.29 Sub-proof #110 shows that the following formulas are inconsistent:
% 267.13/37.29 ----------------------------------------------------------------
% 267.13/37.29 (1) ~ hskp7
% 267.13/37.29 (2) $i(a1041)
% 267.13/37.29 (3) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 267.13/37.29 (4) hskp21 | hskp7 | hskp4
% 267.13/37.29 (5) ~ hskp4
% 267.13/37.29 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 267.13/37.29
% 267.13/37.29 Begin of proof
% 267.13/37.29 |
% 267.13/37.29 | BETA: splitting (4) gives:
% 267.13/37.29 |
% 267.13/37.29 | Case 1:
% 267.13/37.29 | |
% 267.13/37.29 | | (7) hskp7
% 267.13/37.29 | |
% 267.13/37.29 | | PRED_UNIFY: (1), (7) imply:
% 267.13/37.29 | | (8) $false
% 267.13/37.29 | |
% 267.13/37.29 | | CLOSE: (8) is inconsistent.
% 267.13/37.29 | |
% 267.13/37.29 | Case 2:
% 267.13/37.29 | |
% 267.13/37.29 | | (9) hskp21 | hskp4
% 267.13/37.29 | |
% 267.13/37.29 | | REF_CLOSE: (2), (3), (5), (6), (9) are inconsistent by sub-proof #111.
% 267.13/37.29 | |
% 267.13/37.29 | End of split
% 267.13/37.29 |
% 267.13/37.29 End of proof
% 267.13/37.29
% 267.13/37.29 Sub-proof #111 shows that the following formulas are inconsistent:
% 267.13/37.29 ----------------------------------------------------------------
% 267.13/37.29 (1) hskp21 | hskp4
% 267.13/37.29 (2) $i(a1041)
% 267.13/37.29 (3) ~ hskp21 | (c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041))
% 267.13/37.29 (4) ~ hskp4
% 267.13/37.29 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 267.13/37.29
% 267.13/37.29 Begin of proof
% 267.13/37.29 |
% 267.13/37.29 | BETA: splitting (1) gives:
% 267.13/37.29 |
% 267.13/37.29 | Case 1:
% 267.13/37.29 | |
% 267.13/37.29 | | (6) hskp4
% 267.13/37.29 | |
% 267.13/37.29 | | PRED_UNIFY: (4), (6) imply:
% 267.13/37.29 | | (7) $false
% 267.13/37.29 | |
% 267.13/37.29 | | CLOSE: (7) is inconsistent.
% 267.13/37.29 | |
% 267.13/37.29 | Case 2:
% 267.13/37.29 | |
% 267.13/37.29 | | (8) hskp21
% 267.13/37.29 | |
% 267.13/37.29 | | BETA: splitting (3) gives:
% 267.13/37.29 | |
% 267.13/37.29 | | Case 1:
% 267.13/37.29 | | |
% 267.13/37.29 | | | (9) ~ hskp21
% 267.13/37.29 | | |
% 267.13/37.29 | | | PRED_UNIFY: (8), (9) imply:
% 267.13/37.29 | | | (10) $false
% 267.13/37.29 | | |
% 267.13/37.29 | | | CLOSE: (10) is inconsistent.
% 267.13/37.29 | | |
% 267.13/37.29 | | Case 2:
% 267.13/37.29 | | |
% 267.13/37.29 | | | (11) c2_1(a1041) & ndr1_0 & ~ c3_1(a1041) & ~ c0_1(a1041)
% 267.13/37.29 | | |
% 267.13/37.29 | | | ALPHA: (11) implies:
% 267.13/37.29 | | | (12) ~ c0_1(a1041)
% 267.13/37.29 | | | (13) ~ c3_1(a1041)
% 267.13/37.29 | | | (14) ndr1_0
% 267.13/37.29 | | | (15) c2_1(a1041)
% 267.13/37.29 | | |
% 267.13/37.29 | | | GROUND_INST: instantiating (5) with a1041, simplifying with (2), (12),
% 267.13/37.29 | | | (13), (14), (15) gives:
% 267.13/37.29 | | | (16) $false
% 267.13/37.29 | | |
% 267.13/37.29 | | | CLOSE: (16) is inconsistent.
% 267.13/37.29 | | |
% 267.13/37.29 | | End of split
% 267.13/37.29 | |
% 267.13/37.29 | End of split
% 267.13/37.29 |
% 267.13/37.29 End of proof
% 267.13/37.29
% 267.13/37.29 Sub-proof #112 shows that the following formulas are inconsistent:
% 267.13/37.29 ----------------------------------------------------------------
% 267.13/37.29 (1) ~ hskp26 | (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))
% 267.13/37.29 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.29 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.29 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.29 c1_1(v0) | c3_1(v0))
% 267.13/37.29 (3) $i(a1052)
% 267.13/37.29 (4) ~ c0_1(a1015)
% 267.13/37.29 (5) ~ hskp12
% 267.13/37.29 (6) c1_1(a1048)
% 267.13/37.29 (7) ~ c3_1(a1048)
% 267.13/37.29 (8) ~ c3_1(a1008)
% 267.13/37.29 (9) $i(a1008)
% 267.13/37.29 (10) ~ hskp8
% 267.13/37.29 (11) ~ hskp6 | (c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006))
% 267.13/37.29 (12) $i(a1015)
% 267.13/37.29 (13) ~ c1_1(a1008)
% 267.13/37.29 (14) $i(a1048)
% 267.13/37.29 (15) c2_1(a1008)
% 267.13/37.29 (16) ndr1_0
% 267.13/37.29 (17) ~ c0_1(a1048)
% 267.13/37.29 (18) $i(a1044)
% 267.13/37.29 (19) ~ c3_1(a1044)
% 267.13/37.29 (20) $i(a1006)
% 267.13/37.29 (21) c1_1(a1044)
% 267.13/37.29 (22) c0_1(a1044)
% 267.13/37.29 (23) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.29 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.29 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.29 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.29 (24) hskp12 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 267.13/37.29 c3_1(v0) | c0_1(v0))
% 267.13/37.29 (25) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 267.13/37.29 ~ ndr1_0 | c2_1(v0))
% 267.13/37.29 (26) c3_1(a1015)
% 267.13/37.29 (27) ~ c1_1(a1015)
% 267.13/37.29
% 267.13/37.29 Begin of proof
% 267.13/37.29 |
% 267.13/37.29 | BETA: splitting (11) gives:
% 267.13/37.29 |
% 267.13/37.29 | Case 1:
% 267.13/37.29 | |
% 267.13/37.29 | | (28) ~ hskp6
% 267.13/37.29 | |
% 267.13/37.29 | | REF_CLOSE: (5), (6), (7), (14), (16), (17), (24), (28) are inconsistent by
% 267.13/37.29 | | sub-proof #115.
% 267.13/37.29 | |
% 267.13/37.29 | Case 2:
% 267.13/37.29 | |
% 267.13/37.29 | | (29) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 267.13/37.29 | |
% 267.13/37.29 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (10), (12), (13), (14),
% 267.13/37.29 | | (15), (17), (18), (19), (20), (21), (22), (23), (25), (26), (27),
% 267.13/37.29 | | (29) are inconsistent by sub-proof #113.
% 267.13/37.29 | |
% 267.13/37.29 | End of split
% 267.13/37.29 |
% 267.13/37.29 End of proof
% 267.13/37.29
% 267.13/37.29 Sub-proof #113 shows that the following formulas are inconsistent:
% 267.13/37.29 ----------------------------------------------------------------
% 267.13/37.29 (1) ~ hskp26 | (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))
% 267.13/37.29 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.29 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.29 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.29 c1_1(v0) | c3_1(v0))
% 267.13/37.29 (3) $i(a1052)
% 267.13/37.29 (4) ~ c0_1(a1015)
% 267.13/37.29 (5) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 267.13/37.29 (6) c1_1(a1048)
% 267.13/37.29 (7) ~ c3_1(a1048)
% 267.13/37.29 (8) ~ c3_1(a1008)
% 267.13/37.29 (9) $i(a1008)
% 267.13/37.29 (10) ~ hskp8
% 267.13/37.29 (11) $i(a1015)
% 267.13/37.29 (12) ~ c1_1(a1008)
% 267.13/37.29 (13) $i(a1048)
% 267.13/37.29 (14) c2_1(a1008)
% 267.13/37.29 (15) ~ c0_1(a1048)
% 267.13/37.29 (16) $i(a1044)
% 267.13/37.29 (17) ~ c3_1(a1044)
% 267.13/37.29 (18) $i(a1006)
% 267.13/37.29 (19) c1_1(a1044)
% 267.13/37.29 (20) c0_1(a1044)
% 267.13/37.29 (21) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.29 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.29 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.29 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.29 (22) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 267.13/37.29 ~ ndr1_0 | c2_1(v0))
% 267.13/37.29 (23) c3_1(a1015)
% 267.13/37.29 (24) ~ c1_1(a1015)
% 267.13/37.29
% 267.13/37.29 Begin of proof
% 267.13/37.29 |
% 267.13/37.29 | ALPHA: (5) implies:
% 267.13/37.29 | (25) ~ c2_1(a1006)
% 267.13/37.29 | (26) ndr1_0
% 267.13/37.29 | (27) c0_1(a1006)
% 267.13/37.29 | (28) c3_1(a1006)
% 267.13/37.29 |
% 267.13/37.29 | BETA: splitting (1) gives:
% 267.13/37.29 |
% 267.13/37.29 | Case 1:
% 267.13/37.29 | |
% 267.13/37.29 | | (29) ~ hskp26
% 267.13/37.29 | |
% 267.13/37.29 | | REF_CLOSE: (6), (7), (10), (13), (15), (16), (17), (18), (19), (20), (21),
% 267.13/37.29 | | (22), (25), (26), (27), (28), (29) are inconsistent by sub-proof
% 267.13/37.29 | | #114.
% 267.13/37.29 | |
% 267.13/37.29 | Case 2:
% 267.13/37.29 | |
% 267.13/37.29 | | (30) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052)
% 267.13/37.29 | |
% 267.13/37.29 | | ALPHA: (30) implies:
% 267.13/37.29 | | (31) ~ c0_1(a1052)
% 267.13/37.29 | | (32) ~ c2_1(a1052)
% 267.13/37.29 | | (33) c3_1(a1052)
% 267.13/37.29 | |
% 267.13/37.29 | | REF_CLOSE: (2), (3), (4), (8), (9), (11), (12), (14), (23), (24), (26),
% 267.13/37.29 | | (31), (32), (33) are inconsistent by sub-proof #125.
% 267.13/37.29 | |
% 267.13/37.29 | End of split
% 267.13/37.29 |
% 267.13/37.29 End of proof
% 267.13/37.29
% 267.13/37.29 Sub-proof #114 shows that the following formulas are inconsistent:
% 267.13/37.29 ----------------------------------------------------------------
% 267.13/37.29 (1) ~ c2_1(a1006)
% 267.13/37.29 (2) c3_1(a1006)
% 267.13/37.29 (3) c1_1(a1048)
% 267.13/37.29 (4) ~ c3_1(a1048)
% 267.13/37.29 (5) ~ hskp8
% 267.13/37.29 (6) $i(a1048)
% 267.13/37.29 (7) ndr1_0
% 267.13/37.29 (8) ~ c0_1(a1048)
% 267.13/37.29 (9) $i(a1044)
% 267.13/37.29 (10) ~ c3_1(a1044)
% 267.13/37.29 (11) $i(a1006)
% 267.13/37.29 (12) ~ hskp26
% 267.13/37.29 (13) c1_1(a1044)
% 267.13/37.29 (14) c0_1(a1044)
% 267.13/37.29 (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.29 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.29 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.29 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.29 (16) c0_1(a1006)
% 267.13/37.29 (17) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 267.13/37.29 ~ ndr1_0 | c2_1(v0))
% 267.13/37.29
% 267.13/37.29 Begin of proof
% 267.13/37.29 |
% 267.13/37.29 | BETA: splitting (17) gives:
% 267.13/37.29 |
% 267.13/37.29 | Case 1:
% 267.13/37.29 | |
% 267.13/37.29 | | (18) hskp8
% 267.13/37.29 | |
% 267.13/37.29 | | PRED_UNIFY: (5), (18) imply:
% 267.13/37.29 | | (19) $false
% 267.13/37.29 | |
% 267.13/37.29 | | CLOSE: (19) is inconsistent.
% 267.13/37.29 | |
% 267.13/37.29 | Case 2:
% 267.13/37.29 | |
% 267.13/37.29 | | (20) hskp26 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.29 | | ndr1_0 | c2_1(v0))
% 267.13/37.29 | |
% 267.13/37.29 | | BETA: splitting (20) gives:
% 267.13/37.29 | |
% 267.13/37.29 | | Case 1:
% 267.13/37.29 | | |
% 267.13/37.29 | | | (21) hskp26
% 267.13/37.29 | | |
% 267.13/37.29 | | | PRED_UNIFY: (12), (21) imply:
% 267.13/37.30 | | | (22) $false
% 267.13/37.30 | | |
% 267.13/37.30 | | | CLOSE: (22) is inconsistent.
% 267.13/37.30 | | |
% 267.13/37.30 | | Case 2:
% 267.13/37.30 | | |
% 267.13/37.30 | | | (23) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.30 | | | c2_1(v0))
% 267.13/37.30 | | |
% 267.13/37.30 | | | GROUND_INST: instantiating (23) with a1044, simplifying with (7), (9),
% 267.13/37.30 | | | (13), (14) gives:
% 267.13/37.30 | | | (24) c2_1(a1044)
% 267.13/37.30 | | |
% 267.13/37.30 | | | BETA: splitting (15) gives:
% 267.13/37.30 | | |
% 267.13/37.30 | | | Case 1:
% 267.13/37.30 | | | |
% 267.13/37.30 | | | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.30 | | | | c0_1(v0))
% 267.13/37.30 | | | |
% 267.13/37.30 | | | | GROUND_INST: instantiating (25) with a1048, simplifying with (3), (4),
% 267.13/37.30 | | | | (6), (7), (8) gives:
% 267.13/37.30 | | | | (26) $false
% 267.13/37.30 | | | |
% 267.13/37.30 | | | | CLOSE: (26) is inconsistent.
% 267.13/37.30 | | | |
% 267.13/37.30 | | | Case 2:
% 267.13/37.30 | | | |
% 267.13/37.30 | | | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 267.13/37.30 | | | | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.30 | | | | c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.30 | | | |
% 267.13/37.30 | | | | BETA: splitting (27) gives:
% 267.13/37.30 | | | |
% 267.13/37.30 | | | | Case 1:
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | (28) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.30 | | | | | ndr1_0 | c1_1(v0))
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | GROUND_INST: instantiating (28) with a1006, simplifying with (2), (7),
% 267.13/37.30 | | | | | (11), (16) gives:
% 267.13/37.30 | | | | | (29) c1_1(a1006)
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | GROUND_INST: instantiating (23) with a1006, simplifying with (1), (7),
% 267.13/37.30 | | | | | (11), (16), (29) gives:
% 267.13/37.30 | | | | | (30) $false
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | CLOSE: (30) is inconsistent.
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | Case 2:
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.30 | | | | | ndr1_0 | c3_1(v0))
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | GROUND_INST: instantiating (31) with a1044, simplifying with (7), (9),
% 267.13/37.30 | | | | | (10), (14), (24) gives:
% 267.13/37.30 | | | | | (32) $false
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | CLOSE: (32) is inconsistent.
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | End of split
% 267.13/37.30 | | | |
% 267.13/37.30 | | | End of split
% 267.13/37.30 | | |
% 267.13/37.30 | | End of split
% 267.13/37.30 | |
% 267.13/37.30 | End of split
% 267.13/37.30 |
% 267.13/37.30 End of proof
% 267.13/37.30
% 267.13/37.30 Sub-proof #115 shows that the following formulas are inconsistent:
% 267.13/37.30 ----------------------------------------------------------------
% 267.13/37.30 (1) ~ hskp6
% 267.13/37.30 (2) ~ hskp12
% 267.13/37.30 (3) c1_1(a1048)
% 267.13/37.30 (4) ~ c3_1(a1048)
% 267.13/37.30 (5) $i(a1048)
% 267.13/37.30 (6) ndr1_0
% 267.13/37.30 (7) ~ c0_1(a1048)
% 267.13/37.30 (8) hskp12 | hskp6 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 267.13/37.30 c3_1(v0) | c0_1(v0))
% 267.13/37.30
% 267.13/37.30 Begin of proof
% 267.13/37.30 |
% 267.13/37.30 | BETA: splitting (8) gives:
% 267.13/37.30 |
% 267.13/37.30 | Case 1:
% 267.13/37.30 | |
% 267.13/37.30 | | (9) hskp6
% 267.13/37.30 | |
% 267.13/37.30 | | PRED_UNIFY: (1), (9) imply:
% 267.13/37.30 | | (10) $false
% 267.13/37.30 | |
% 267.13/37.30 | | CLOSE: (10) is inconsistent.
% 267.13/37.30 | |
% 267.13/37.30 | Case 2:
% 267.13/37.30 | |
% 267.13/37.30 | | (11) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 267.13/37.30 | | c3_1(v0) | c0_1(v0))
% 267.13/37.30 | |
% 267.13/37.30 | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (11) are inconsistent by sub-proof
% 267.13/37.30 | | #116.
% 267.13/37.30 | |
% 267.13/37.30 | End of split
% 267.13/37.30 |
% 267.13/37.30 End of proof
% 267.13/37.30
% 267.13/37.30 Sub-proof #116 shows that the following formulas are inconsistent:
% 267.13/37.30 ----------------------------------------------------------------
% 267.13/37.30 (1) ~ hskp12
% 267.13/37.30 (2) c1_1(a1048)
% 267.13/37.30 (3) ~ c3_1(a1048)
% 267.13/37.30 (4) $i(a1048)
% 267.13/37.30 (5) ndr1_0
% 267.13/37.30 (6) ~ c0_1(a1048)
% 267.13/37.30 (7) hskp12 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.30 c0_1(v0))
% 267.13/37.30
% 267.13/37.30 Begin of proof
% 267.13/37.30 |
% 267.13/37.30 | BETA: splitting (7) gives:
% 267.13/37.30 |
% 267.13/37.30 | Case 1:
% 267.13/37.30 | |
% 267.13/37.30 | | (8) hskp12
% 267.13/37.30 | |
% 267.13/37.30 | | PRED_UNIFY: (1), (8) imply:
% 267.13/37.30 | | (9) $false
% 267.13/37.30 | |
% 267.13/37.30 | | CLOSE: (9) is inconsistent.
% 267.13/37.30 | |
% 267.13/37.30 | Case 2:
% 267.13/37.30 | |
% 267.13/37.30 | | (10) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.30 | | c0_1(v0))
% 267.13/37.30 | |
% 267.13/37.30 | | GROUND_INST: instantiating (10) with a1048, simplifying with (2), (3), (4),
% 267.13/37.30 | | (5), (6) gives:
% 267.13/37.30 | | (11) $false
% 267.13/37.30 | |
% 267.13/37.30 | | CLOSE: (11) is inconsistent.
% 267.13/37.30 | |
% 267.13/37.30 | End of split
% 267.13/37.30 |
% 267.13/37.30 End of proof
% 267.13/37.30
% 267.13/37.30 Sub-proof #117 shows that the following formulas are inconsistent:
% 267.13/37.30 ----------------------------------------------------------------
% 267.13/37.30 (1) ~ hskp26 | (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))
% 267.13/37.30 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.30 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.30 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.30 c1_1(v0) | c3_1(v0))
% 267.13/37.30 (3) $i(a1052)
% 267.13/37.30 (4) c1_1(a1048)
% 267.13/37.30 (5) $i(a1011)
% 267.13/37.30 (6) c0_1(a1011)
% 267.13/37.30 (7) ~ c3_1(a1048)
% 267.13/37.30 (8) ~ c3_1(a1008)
% 267.13/37.30 (9) $i(a1008)
% 267.13/37.30 (10) ~ hskp8
% 267.13/37.30 (11) ~ c1_1(a1008)
% 267.13/37.30 (12) $i(a1048)
% 267.13/37.30 (13) c2_1(a1008)
% 267.13/37.30 (14) ndr1_0
% 267.13/37.30 (15) ~ c0_1(a1048)
% 267.13/37.30 (16) c1_1(a1011)
% 267.13/37.30 (17) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 267.13/37.30 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 267.13/37.30 ndr1_0 | c3_1(v0) | c0_1(v0))
% 267.13/37.30 (18) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 267.13/37.30 ~ ndr1_0 | c2_1(v0))
% 267.13/37.30 (19) ~ c2_1(a1011)
% 267.13/37.30 (20) ~ hskp11
% 267.13/37.30
% 267.13/37.30 Begin of proof
% 267.13/37.30 |
% 267.13/37.30 | BETA: splitting (1) gives:
% 267.13/37.30 |
% 267.13/37.30 | Case 1:
% 267.13/37.30 | |
% 267.13/37.30 | | (21) ~ hskp26
% 267.13/37.30 | |
% 267.13/37.30 | | REF_CLOSE: (5), (6), (10), (14), (16), (18), (19), (21) are inconsistent by
% 267.13/37.30 | | sub-proof #118.
% 267.13/37.30 | |
% 267.13/37.30 | Case 2:
% 267.13/37.30 | |
% 267.13/37.30 | | (22) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052)
% 267.13/37.30 | |
% 267.13/37.30 | | ALPHA: (22) implies:
% 267.13/37.30 | | (23) ~ c0_1(a1052)
% 267.13/37.30 | | (24) ~ c2_1(a1052)
% 267.13/37.30 | | (25) c3_1(a1052)
% 267.13/37.30 | |
% 267.13/37.30 | | REF_CLOSE: (2), (3), (4), (7), (8), (9), (11), (12), (13), (14), (15), (17),
% 267.13/37.30 | | (20), (23), (24), (25) are inconsistent by sub-proof #120.
% 267.13/37.30 | |
% 267.13/37.30 | End of split
% 267.13/37.30 |
% 267.13/37.30 End of proof
% 267.13/37.30
% 267.13/37.30 Sub-proof #118 shows that the following formulas are inconsistent:
% 267.13/37.30 ----------------------------------------------------------------
% 267.13/37.30 (1) $i(a1011)
% 267.13/37.30 (2) c0_1(a1011)
% 267.13/37.30 (3) ~ hskp8
% 267.13/37.30 (4) ndr1_0
% 267.13/37.30 (5) ~ hskp26
% 267.13/37.30 (6) c1_1(a1011)
% 267.13/37.30 (7) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 267.13/37.30 ~ ndr1_0 | c2_1(v0))
% 267.13/37.30 (8) ~ c2_1(a1011)
% 267.13/37.30
% 267.13/37.30 Begin of proof
% 267.13/37.30 |
% 267.13/37.30 | BETA: splitting (7) gives:
% 267.13/37.30 |
% 267.13/37.30 | Case 1:
% 267.13/37.30 | |
% 267.13/37.30 | | (9) hskp8
% 267.13/37.30 | |
% 267.13/37.30 | | PRED_UNIFY: (3), (9) imply:
% 267.13/37.30 | | (10) $false
% 267.13/37.30 | |
% 267.13/37.30 | | CLOSE: (10) is inconsistent.
% 267.13/37.30 | |
% 267.13/37.30 | Case 2:
% 267.13/37.30 | |
% 267.13/37.30 | | (11) hskp26 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.30 | | ndr1_0 | c2_1(v0))
% 267.13/37.30 | |
% 267.13/37.30 | | BETA: splitting (11) gives:
% 267.13/37.30 | |
% 267.13/37.30 | | Case 1:
% 267.13/37.30 | | |
% 267.13/37.30 | | | (12) hskp26
% 267.13/37.30 | | |
% 267.13/37.30 | | | PRED_UNIFY: (5), (12) imply:
% 267.13/37.30 | | | (13) $false
% 267.13/37.30 | | |
% 267.13/37.30 | | | CLOSE: (13) is inconsistent.
% 267.13/37.30 | | |
% 267.13/37.30 | | Case 2:
% 267.13/37.30 | | |
% 267.13/37.30 | | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.30 | | | c2_1(v0))
% 267.13/37.30 | | |
% 267.13/37.30 | | | GROUND_INST: instantiating (14) with a1011, simplifying with (1), (2),
% 267.13/37.30 | | | (4), (6), (8) gives:
% 267.13/37.30 | | | (15) $false
% 267.13/37.30 | | |
% 267.13/37.30 | | | CLOSE: (15) is inconsistent.
% 267.13/37.30 | | |
% 267.13/37.30 | | End of split
% 267.13/37.30 | |
% 267.13/37.30 | End of split
% 267.13/37.30 |
% 267.13/37.30 End of proof
% 267.13/37.30
% 267.13/37.30 Sub-proof #119 shows that the following formulas are inconsistent:
% 267.13/37.30 ----------------------------------------------------------------
% 267.13/37.30 (1) ~ hskp26 | (c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052))
% 267.13/37.30 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.30 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.30 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.30 c1_1(v0) | c3_1(v0))
% 267.13/37.30 (3) $i(a1052)
% 267.13/37.30 (4) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 267.13/37.30 ~ c0_1(v0) | ~ ndr1_0)
% 267.13/37.30 (5) ~ hskp9
% 267.13/37.30 (6) ~ hskp12
% 267.13/37.30 (7) c1_1(a1048)
% 267.13/37.30 (8) ~ c3_1(a1048)
% 267.13/37.30 (9) ~ c3_1(a1008)
% 267.13/37.30 (10) $i(a1008)
% 267.13/37.30 (11) ~ hskp8
% 267.13/37.30 (12) ~ c1_1(a1008)
% 267.13/37.30 (13) $i(a1048)
% 267.13/37.30 (14) c2_1(a1008)
% 267.13/37.30 (15) ndr1_0
% 267.13/37.30 (16) ~ c0_1(a1048)
% 267.13/37.30 (17) $i(a1044)
% 267.13/37.30 (18) c1_1(a1044)
% 267.13/37.30 (19) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 267.13/37.30 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 267.13/37.30 ndr1_0 | c3_1(v0) | c0_1(v0))
% 267.13/37.30 (20) c0_1(a1044)
% 267.13/37.30 (21) hskp26 | hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) |
% 267.13/37.30 ~ ndr1_0 | c2_1(v0))
% 267.13/37.30 (22) ~ hskp11
% 267.13/37.30
% 267.13/37.30 Begin of proof
% 267.13/37.30 |
% 267.13/37.30 | BETA: splitting (4) gives:
% 267.13/37.30 |
% 267.13/37.30 | Case 1:
% 267.13/37.30 | |
% 267.13/37.30 | | (23) hskp12
% 267.13/37.30 | |
% 267.13/37.30 | | PRED_UNIFY: (6), (23) imply:
% 267.13/37.30 | | (24) $false
% 267.13/37.30 | |
% 267.13/37.30 | | CLOSE: (24) is inconsistent.
% 267.13/37.30 | |
% 267.13/37.30 | Case 2:
% 267.13/37.30 | |
% 267.13/37.30 | | (25) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 267.13/37.30 | | c0_1(v0) | ~ ndr1_0)
% 267.13/37.30 | |
% 267.13/37.30 | | BETA: splitting (25) gives:
% 267.13/37.30 | |
% 267.13/37.30 | | Case 1:
% 267.13/37.30 | | |
% 267.13/37.30 | | | (26) hskp9
% 267.13/37.30 | | |
% 267.13/37.30 | | | PRED_UNIFY: (5), (26) imply:
% 267.13/37.30 | | | (27) $false
% 267.13/37.30 | | |
% 267.13/37.30 | | | CLOSE: (27) is inconsistent.
% 267.13/37.30 | | |
% 267.13/37.30 | | Case 2:
% 267.13/37.30 | | |
% 267.13/37.30 | | | (28) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0)
% 267.13/37.30 | | | | ~ ndr1_0)
% 267.13/37.30 | | |
% 267.13/37.30 | | | BETA: splitting (1) gives:
% 267.13/37.30 | | |
% 267.13/37.30 | | | Case 1:
% 267.13/37.30 | | | |
% 267.13/37.30 | | | | (29) ~ hskp26
% 267.13/37.30 | | | |
% 267.13/37.30 | | | | BETA: splitting (21) gives:
% 267.13/37.30 | | | |
% 267.13/37.30 | | | | Case 1:
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | (30) hskp8
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | PRED_UNIFY: (11), (30) imply:
% 267.13/37.30 | | | | | (31) $false
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | CLOSE: (31) is inconsistent.
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | Case 2:
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | (32) hskp26 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0)
% 267.13/37.30 | | | | | | ~ ndr1_0 | c2_1(v0))
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | BETA: splitting (32) gives:
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | | Case 1:
% 267.13/37.30 | | | | | |
% 267.13/37.30 | | | | | | (33) hskp26
% 267.13/37.30 | | | | | |
% 267.13/37.30 | | | | | | PRED_UNIFY: (29), (33) imply:
% 267.13/37.30 | | | | | | (34) $false
% 267.13/37.30 | | | | | |
% 267.13/37.30 | | | | | | CLOSE: (34) is inconsistent.
% 267.13/37.30 | | | | | |
% 267.13/37.30 | | | | | Case 2:
% 267.13/37.30 | | | | | |
% 267.13/37.30 | | | | | | (35) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.30 | | | | | | ndr1_0 | c2_1(v0))
% 267.13/37.30 | | | | | |
% 267.13/37.30 | | | | | | GROUND_INST: instantiating (35) with a1044, simplifying with (15),
% 267.13/37.30 | | | | | | (17), (18), (20) gives:
% 267.13/37.30 | | | | | | (36) c2_1(a1044)
% 267.13/37.30 | | | | | |
% 267.13/37.30 | | | | | | GROUND_INST: instantiating (28) with a1044, simplifying with (15),
% 267.13/37.30 | | | | | | (17), (18), (20), (36) gives:
% 267.13/37.30 | | | | | | (37) $false
% 267.13/37.30 | | | | | |
% 267.13/37.30 | | | | | | CLOSE: (37) is inconsistent.
% 267.13/37.30 | | | | | |
% 267.13/37.30 | | | | | End of split
% 267.13/37.30 | | | | |
% 267.13/37.30 | | | | End of split
% 267.13/37.30 | | | |
% 267.13/37.30 | | | Case 2:
% 267.13/37.30 | | | |
% 267.13/37.31 | | | | (38) c3_1(a1052) & ndr1_0 & ~ c2_1(a1052) & ~ c0_1(a1052)
% 267.13/37.31 | | | |
% 267.13/37.31 | | | | ALPHA: (38) implies:
% 267.13/37.31 | | | | (39) ~ c0_1(a1052)
% 267.13/37.31 | | | | (40) ~ c2_1(a1052)
% 267.13/37.31 | | | | (41) c3_1(a1052)
% 267.13/37.31 | | | |
% 267.13/37.31 | | | | REF_CLOSE: (2), (3), (7), (8), (9), (10), (12), (13), (14), (15), (16),
% 267.13/37.31 | | | | (19), (22), (39), (40), (41) are inconsistent by sub-proof
% 267.13/37.31 | | | | #120.
% 267.13/37.31 | | | |
% 267.13/37.31 | | | End of split
% 267.13/37.31 | | |
% 267.13/37.31 | | End of split
% 267.13/37.31 | |
% 267.13/37.31 | End of split
% 267.13/37.31 |
% 267.13/37.31 End of proof
% 267.13/37.31
% 267.13/37.31 Sub-proof #120 shows that the following formulas are inconsistent:
% 267.13/37.31 ----------------------------------------------------------------
% 267.13/37.31 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.31 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.31 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.31 c1_1(v0) | c3_1(v0))
% 267.13/37.31 (2) $i(a1052)
% 267.13/37.31 (3) c3_1(a1052)
% 267.13/37.31 (4) c1_1(a1048)
% 267.13/37.31 (5) ~ c3_1(a1048)
% 267.13/37.31 (6) ~ c3_1(a1008)
% 267.13/37.31 (7) $i(a1008)
% 267.13/37.31 (8) ~ c2_1(a1052)
% 267.13/37.31 (9) ~ c1_1(a1008)
% 267.13/37.31 (10) $i(a1048)
% 267.13/37.31 (11) ~ c0_1(a1052)
% 267.13/37.31 (12) c2_1(a1008)
% 267.13/37.31 (13) ndr1_0
% 267.13/37.31 (14) ~ c0_1(a1048)
% 267.13/37.31 (15) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 267.13/37.31 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 267.13/37.31 ndr1_0 | c3_1(v0) | c0_1(v0))
% 267.13/37.31 (16) ~ hskp11
% 267.13/37.31
% 267.13/37.31 Begin of proof
% 267.13/37.31 |
% 267.13/37.31 | BETA: splitting (15) gives:
% 267.13/37.31 |
% 267.13/37.31 | Case 1:
% 267.13/37.31 | |
% 267.13/37.31 | | (17) hskp11
% 267.13/37.31 | |
% 267.13/37.31 | | PRED_UNIFY: (16), (17) imply:
% 267.13/37.31 | | (18) $false
% 267.13/37.31 | |
% 267.13/37.31 | | CLOSE: (18) is inconsistent.
% 267.13/37.31 | |
% 267.13/37.31 | Case 2:
% 267.13/37.31 | |
% 267.13/37.31 | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 267.13/37.31 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 267.13/37.31 | | c3_1(v0) | c0_1(v0))
% 267.13/37.31 | |
% 267.13/37.31 | | BETA: splitting (1) gives:
% 267.13/37.31 | |
% 267.13/37.31 | | Case 1:
% 267.13/37.31 | | |
% 267.13/37.31 | | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 267.13/37.31 | | | c0_1(v0))
% 267.13/37.31 | | |
% 267.13/37.31 | | | GROUND_INST: instantiating (20) with a1052, simplifying with (2), (3),
% 267.13/37.31 | | | (11), (13) gives:
% 267.13/37.31 | | | (21) c1_1(a1052)
% 267.13/37.31 | | |
% 267.13/37.31 | | | BETA: splitting (19) gives:
% 267.13/37.31 | | |
% 267.13/37.31 | | | Case 1:
% 267.13/37.31 | | | |
% 267.13/37.31 | | | | (22) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0
% 267.13/37.31 | | | | | c0_1(v0))
% 267.13/37.31 | | | |
% 267.13/37.31 | | | | GROUND_INST: instantiating (22) with a1052, simplifying with (2), (3),
% 267.13/37.31 | | | | (11), (13), (21) gives:
% 267.13/37.31 | | | | (23) $false
% 267.13/37.31 | | | |
% 267.13/37.31 | | | | CLOSE: (23) is inconsistent.
% 267.13/37.31 | | | |
% 267.13/37.31 | | | Case 2:
% 267.13/37.31 | | | |
% 267.13/37.31 | | | | (24) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.31 | | | | c0_1(v0))
% 267.13/37.31 | | | |
% 267.13/37.31 | | | | GROUND_INST: instantiating (24) with a1048, simplifying with (4), (5),
% 267.13/37.31 | | | | (10), (13), (14) gives:
% 267.13/37.31 | | | | (25) $false
% 267.13/37.31 | | | |
% 267.13/37.31 | | | | CLOSE: (25) is inconsistent.
% 267.13/37.31 | | | |
% 267.13/37.31 | | | End of split
% 267.13/37.31 | | |
% 267.13/37.31 | | Case 2:
% 267.13/37.31 | | |
% 267.13/37.31 | | | (26) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.31 | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.31 | | | c1_1(v0) | c3_1(v0))
% 267.13/37.31 | | |
% 267.13/37.31 | | | REF_CLOSE: (2), (3), (6), (7), (8), (9), (11), (12), (13), (26) are
% 267.13/37.31 | | | inconsistent by sub-proof #126.
% 267.13/37.31 | | |
% 267.13/37.31 | | End of split
% 267.13/37.31 | |
% 267.13/37.31 | End of split
% 267.13/37.31 |
% 267.13/37.31 End of proof
% 267.13/37.31
% 267.13/37.31 Sub-proof #121 shows that the following formulas are inconsistent:
% 267.13/37.31 ----------------------------------------------------------------
% 267.13/37.31 (1) ~ hskp7
% 267.13/37.31 (2) hskp8 | hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 267.13/37.31 c2_1(v0) | c0_1(v0))
% 267.13/37.31 (3) c1_1(a1048)
% 267.13/37.31 (4) ~ c3_1(a1048)
% 267.13/37.31 (5) ~ hskp8
% 267.13/37.31 (6) $i(a1048)
% 267.13/37.31 (7) ndr1_0
% 267.13/37.31 (8) ~ c0_1(a1048)
% 267.13/37.31 (9) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 267.13/37.31
% 267.13/37.31 Begin of proof
% 267.13/37.31 |
% 267.13/37.31 | BETA: splitting (2) gives:
% 267.13/37.31 |
% 267.13/37.31 | Case 1:
% 267.13/37.31 | |
% 267.13/37.31 | | (10) hskp7
% 267.13/37.31 | |
% 267.13/37.31 | | PRED_UNIFY: (1), (10) imply:
% 267.13/37.31 | | (11) $false
% 267.13/37.31 | |
% 267.13/37.31 | | CLOSE: (11) is inconsistent.
% 267.13/37.31 | |
% 267.13/37.31 | Case 2:
% 267.13/37.31 | |
% 267.13/37.31 | | (12) hskp8 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 267.13/37.31 | | c2_1(v0) | c0_1(v0))
% 267.13/37.31 | |
% 267.13/37.31 | | BETA: splitting (12) gives:
% 267.13/37.31 | |
% 267.13/37.31 | | Case 1:
% 267.13/37.31 | | |
% 267.13/37.31 | | | (13) hskp8
% 267.13/37.31 | | |
% 267.13/37.31 | | | PRED_UNIFY: (5), (13) imply:
% 267.13/37.31 | | | (14) $false
% 267.13/37.31 | | |
% 267.13/37.31 | | | CLOSE: (14) is inconsistent.
% 267.13/37.31 | | |
% 267.13/37.31 | | Case 2:
% 267.13/37.31 | | |
% 267.13/37.31 | | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.31 | | | c0_1(v0))
% 267.13/37.31 | | |
% 267.13/37.31 | | | GROUND_INST: instantiating (15) with a1048, simplifying with (3), (6),
% 267.13/37.31 | | | (7), (8) gives:
% 267.13/37.31 | | | (16) c2_1(a1048)
% 267.13/37.31 | | |
% 267.13/37.31 | | | GROUND_INST: instantiating (9) with a1048, simplifying with (4), (6), (7),
% 267.13/37.31 | | | (8), (16) gives:
% 267.13/37.31 | | | (17) $false
% 267.13/37.31 | | |
% 267.13/37.31 | | | CLOSE: (17) is inconsistent.
% 267.13/37.31 | | |
% 267.13/37.31 | | End of split
% 267.13/37.31 | |
% 267.13/37.31 | End of split
% 267.13/37.31 |
% 267.13/37.31 End of proof
% 267.13/37.31
% 267.13/37.31 Sub-proof #122 shows that the following formulas are inconsistent:
% 267.13/37.31 ----------------------------------------------------------------
% 267.13/37.31 (1) hskp2 | hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.31 c3_1(v0) | c0_1(v0))
% 267.13/37.31 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.31 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 267.13/37.31 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 267.13/37.31 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 267.13/37.31 (3) $i(a1010)
% 267.13/37.31 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 267.13/37.31 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 267.13/37.31 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 267.13/37.31 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 267.13/37.31 (5) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 267.13/37.31 ~ c0_1(v0) | ~ ndr1_0)
% 267.13/37.31 (6) ~ hskp17 | (c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~ c0_1(a1032))
% 267.13/37.31 (7) $i(a1019)
% 267.13/37.31 (8) $i(a1032)
% 267.13/37.31 (9) ~ c1_1(a1010)
% 267.13/37.31 (10) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 267.13/37.31 (11) $i(a1025)
% 267.13/37.31 (12) $i(a1029)
% 267.13/37.31 (13) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.31 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.31 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.31 ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.31 (14) c2_1(a1044)
% 267.13/37.31 (15) $i(a1011)
% 267.13/37.31 (16) c3_1(a1010)
% 267.13/37.31 (17) ~ c3_1(a1008)
% 267.13/37.31 (18) $i(a1008)
% 267.13/37.31 (19) hskp22 | hskp14 | hskp12
% 267.13/37.31 (20) ~ hskp6 | (c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006))
% 267.13/37.31 (21) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 267.13/37.31 (22) c0_1(a1010)
% 267.13/37.31 (23) ~ hskp2 | (c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~ c1_1(a1002))
% 267.13/37.31 (24) ~ c1_1(a1008)
% 267.13/37.31 (25) ~ hskp1
% 267.13/37.31 (26) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 267.13/37.31 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.31 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.31 (27) $i(a1002)
% 267.13/37.31 (28) c2_1(a1008)
% 267.13/37.31 (29) ndr1_0
% 267.13/37.31 (30) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 267.13/37.31 (31) $i(a1044)
% 267.13/37.31 (32) ~ c3_1(a1044)
% 267.13/37.31 (33) hskp27 | hskp14 | hskp6
% 267.13/37.31 (34) $i(a1006)
% 267.13/37.31 (35) ~ hskp9 | (c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011))
% 267.13/37.31 (36) c1_1(a1044)
% 267.13/37.31 (37) c0_1(a1044)
% 267.13/37.31 (38) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.31 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.31 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.31 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.31 (39) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.31 c2_1(v0))
% 267.13/37.31 (40) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 267.13/37.31 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.31 ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 267.13/37.31 c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 267.13/37.31
% 267.13/37.31 Begin of proof
% 267.13/37.31 |
% 267.13/37.31 | BETA: splitting (20) gives:
% 267.13/37.31 |
% 267.13/37.31 | Case 1:
% 267.13/37.31 | |
% 267.13/37.31 | | (41) ~ hskp6
% 267.13/37.31 | |
% 267.13/37.31 | | BETA: splitting (35) gives:
% 267.13/37.31 | |
% 267.13/37.31 | | Case 1:
% 267.13/37.31 | | |
% 267.13/37.31 | | | (42) ~ hskp9
% 267.13/37.31 | | |
% 267.13/37.31 | | | REF_CLOSE: (3), (4), (5), (7), (9), (14), (16), (19), (22), (29), (30),
% 267.13/37.31 | | | (31), (32), (36), (37), (38), (42) are inconsistent by
% 267.13/37.31 | | | sub-proof #124.
% 267.13/37.31 | | |
% 267.13/37.31 | | Case 2:
% 267.13/37.31 | | |
% 267.13/37.31 | | | (43) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 267.13/37.31 | | |
% 267.13/37.31 | | | ALPHA: (43) implies:
% 267.13/37.31 | | | (44) ~ c2_1(a1011)
% 267.13/37.31 | | | (45) c0_1(a1011)
% 267.13/37.31 | | | (46) c1_1(a1011)
% 267.13/37.31 | | |
% 267.13/37.31 | | | GROUND_INST: instantiating (39) with a1011, simplifying with (15), (29),
% 267.13/37.31 | | | (44), (45) gives:
% 267.13/37.31 | | | (47) c3_1(a1011)
% 267.13/37.31 | | |
% 267.13/37.31 | | | BETA: splitting (10) gives:
% 267.13/37.31 | | |
% 267.13/37.31 | | | Case 1:
% 267.13/37.31 | | | |
% 267.13/37.31 | | | | (48) ~ hskp14
% 267.13/37.31 | | | |
% 267.13/37.31 | | | | BETA: splitting (33) gives:
% 267.13/37.31 | | | |
% 267.13/37.31 | | | | Case 1:
% 267.13/37.31 | | | | |
% 267.13/37.31 | | | | | (49) hskp6
% 267.13/37.31 | | | | |
% 267.13/37.31 | | | | | PRED_UNIFY: (41), (49) imply:
% 267.13/37.32 | | | | | (50) $false
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | | CLOSE: (50) is inconsistent.
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | Case 2:
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | | (51) hskp27 | hskp14
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | | BETA: splitting (51) gives:
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | | Case 1:
% 267.13/37.32 | | | | | |
% 267.13/37.32 | | | | | | (52) hskp27
% 267.13/37.32 | | | | | |
% 267.13/37.32 | | | | | | BETA: splitting (21) gives:
% 267.13/37.32 | | | | | |
% 267.13/37.32 | | | | | | Case 1:
% 267.13/37.32 | | | | | | |
% 267.13/37.32 | | | | | | | (53) ~ hskp27
% 267.13/37.32 | | | | | | |
% 267.13/37.32 | | | | | | | PRED_UNIFY: (52), (53) imply:
% 267.13/37.32 | | | | | | | (54) $false
% 267.13/37.32 | | | | | | |
% 267.13/37.32 | | | | | | | CLOSE: (54) is inconsistent.
% 267.13/37.32 | | | | | | |
% 267.13/37.32 | | | | | | Case 2:
% 267.13/37.32 | | | | | | |
% 267.13/37.32 | | | | | | | (55) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 267.13/37.32 | | | | | | |
% 267.13/37.32 | | | | | | | ALPHA: (55) implies:
% 267.13/37.32 | | | | | | | (56) c2_1(a1029)
% 267.13/37.32 | | | | | | | (57) c3_1(a1029)
% 267.13/37.32 | | | | | | |
% 267.13/37.32 | | | | | | | BETA: splitting (2) gives:
% 267.13/37.32 | | | | | | |
% 267.13/37.32 | | | | | | | Case 1:
% 267.13/37.32 | | | | | | | |
% 267.13/37.32 | | | | | | | | (58) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 267.13/37.32 | | | | | | | | ~ ndr1_0 | c3_1(v0))
% 267.13/37.32 | | | | | | | |
% 267.13/37.32 | | | | | | | | GROUND_INST: instantiating (58) with a1044, simplifying with
% 267.13/37.32 | | | | | | | | (14), (29), (31), (32), (36) gives:
% 267.13/37.32 | | | | | | | | (59) $false
% 267.13/37.32 | | | | | | | |
% 267.13/37.32 | | | | | | | | CLOSE: (59) is inconsistent.
% 267.13/37.32 | | | | | | | |
% 267.13/37.32 | | | | | | | Case 2:
% 267.13/37.32 | | | | | | | |
% 267.13/37.32 | | | | | | | | (60) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 267.13/37.32 | | | | | | | | ~ ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 267.13/37.32 | | | | | | | | c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 267.13/37.32 | | | | | | | |
% 267.13/37.32 | | | | | | | | BETA: splitting (60) gives:
% 267.13/37.32 | | | | | | | |
% 267.13/37.32 | | | | | | | | Case 1:
% 267.13/37.32 | | | | | | | | |
% 267.13/37.32 | | | | | | | | | (61) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 267.13/37.32 | | | | | | | | | ~ ndr1_0 | c1_1(v0))
% 267.13/37.32 | | | | | | | | |
% 267.13/37.32 | | | | | | | | | GROUND_INST: instantiating (61) with a1029, simplifying with
% 267.13/37.32 | | | | | | | | | (12), (29), (56), (57) gives:
% 267.13/37.32 | | | | | | | | | (62) c1_1(a1029)
% 267.13/37.32 | | | | | | | | |
% 267.13/37.32 | | | | | | | | | REF_CLOSE: (3), (9), (12), (15), (16), (22), (29), (40), (44),
% 267.13/37.32 | | | | | | | | | (45), (46), (56), (57), (62) are inconsistent by
% 267.13/37.32 | | | | | | | | | sub-proof #123.
% 267.13/37.32 | | | | | | | | |
% 267.13/37.32 | | | | | | | | Case 2:
% 267.13/37.32 | | | | | | | | |
% 267.13/37.32 | | | | | | | | | (63) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 267.13/37.32 | | | | | | | | | ~ ndr1_0 | c2_1(v0))
% 267.13/37.32 | | | | | | | | |
% 267.13/37.32 | | | | | | | | | GROUND_INST: instantiating (63) with a1011, simplifying with
% 267.13/37.32 | | | | | | | | | (15), (29), (44), (45), (47) gives:
% 267.13/37.32 | | | | | | | | | (64) $false
% 267.13/37.32 | | | | | | | | |
% 267.13/37.32 | | | | | | | | | CLOSE: (64) is inconsistent.
% 267.13/37.32 | | | | | | | | |
% 267.13/37.32 | | | | | | | | End of split
% 267.13/37.32 | | | | | | | |
% 267.13/37.32 | | | | | | | End of split
% 267.13/37.32 | | | | | | |
% 267.13/37.32 | | | | | | End of split
% 267.13/37.32 | | | | | |
% 267.13/37.32 | | | | | Case 2:
% 267.13/37.32 | | | | | |
% 267.13/37.32 | | | | | | (65) hskp14
% 267.13/37.32 | | | | | |
% 267.13/37.32 | | | | | | PRED_UNIFY: (48), (65) imply:
% 267.13/37.32 | | | | | | (66) $false
% 267.13/37.32 | | | | | |
% 267.13/37.32 | | | | | | CLOSE: (66) is inconsistent.
% 267.13/37.32 | | | | | |
% 267.13/37.32 | | | | | End of split
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | End of split
% 267.13/37.32 | | | |
% 267.13/37.32 | | | Case 2:
% 267.13/37.32 | | | |
% 267.13/37.32 | | | | (67) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025)
% 267.13/37.32 | | | |
% 267.13/37.32 | | | | REF_CLOSE: (11), (39), (67) are inconsistent by sub-proof #155.
% 267.13/37.32 | | | |
% 267.13/37.32 | | | End of split
% 267.13/37.32 | | |
% 267.13/37.32 | | End of split
% 267.13/37.32 | |
% 267.13/37.32 | Case 2:
% 267.13/37.32 | |
% 267.13/37.32 | | (68) c3_1(a1006) & c0_1(a1006) & ndr1_0 & ~ c2_1(a1006)
% 267.13/37.32 | |
% 267.13/37.32 | | ALPHA: (68) implies:
% 267.13/37.32 | | (69) ~ c2_1(a1006)
% 267.13/37.32 | | (70) c0_1(a1006)
% 267.13/37.32 | | (71) c3_1(a1006)
% 267.13/37.32 | |
% 267.13/37.32 | | BETA: splitting (35) gives:
% 267.13/37.32 | |
% 267.13/37.32 | | Case 1:
% 267.13/37.32 | | |
% 267.13/37.32 | | | (72) ~ hskp9
% 267.13/37.32 | | |
% 267.13/37.32 | | | REF_CLOSE: (3), (4), (5), (7), (9), (14), (16), (19), (22), (29), (30),
% 267.13/37.32 | | | (31), (32), (36), (37), (38), (72) are inconsistent by
% 267.13/37.32 | | | sub-proof #124.
% 267.13/37.32 | | |
% 267.13/37.32 | | Case 2:
% 267.13/37.32 | | |
% 267.13/37.32 | | | (73) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 267.13/37.32 | | |
% 267.13/37.32 | | | REF_CLOSE: (1), (2), (4), (6), (8), (13), (14), (15), (17), (18), (23),
% 267.13/37.32 | | | (24), (25), (26), (27), (28), (31), (32), (34), (36), (37),
% 267.13/37.32 | | | (69), (70), (71), (73) are inconsistent by sub-proof #132.
% 267.13/37.32 | | |
% 267.13/37.32 | | End of split
% 267.13/37.32 | |
% 267.13/37.32 | End of split
% 267.13/37.32 |
% 267.13/37.32 End of proof
% 267.13/37.32
% 267.13/37.32 Sub-proof #123 shows that the following formulas are inconsistent:
% 267.13/37.32 ----------------------------------------------------------------
% 267.13/37.32 (1) $i(a1010)
% 267.13/37.32 (2) ~ c1_1(a1010)
% 267.13/37.32 (3) c1_1(a1029)
% 267.13/37.32 (4) $i(a1029)
% 267.13/37.32 (5) $i(a1011)
% 267.13/37.32 (6) c0_1(a1011)
% 267.13/37.32 (7) c3_1(a1029)
% 267.13/37.32 (8) c3_1(a1010)
% 267.13/37.32 (9) c0_1(a1010)
% 267.13/37.32 (10) ndr1_0
% 267.13/37.32 (11) c1_1(a1011)
% 267.13/37.32 (12) ~ c2_1(a1011)
% 267.13/37.32 (13) c2_1(a1029)
% 267.13/37.32 (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 267.13/37.32 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.32 ndr1_0 | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 267.13/37.32 c0_1(v0) | ~ ndr1_0 | c1_1(v0))
% 267.13/37.32
% 267.13/37.32 Begin of proof
% 267.13/37.32 |
% 267.13/37.32 | BETA: splitting (14) gives:
% 267.13/37.32 |
% 267.13/37.32 | Case 1:
% 267.13/37.32 | |
% 267.13/37.32 | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 267.13/37.32 | | ~ ndr1_0)
% 267.13/37.32 | |
% 267.13/37.32 | | GROUND_INST: instantiating (15) with a1029, simplifying with (3), (4), (7),
% 267.13/37.32 | | (10), (13) gives:
% 267.13/37.32 | | (16) $false
% 267.13/37.32 | |
% 267.13/37.32 | | CLOSE: (16) is inconsistent.
% 267.13/37.32 | |
% 267.13/37.32 | Case 2:
% 267.13/37.32 | |
% 267.13/37.32 | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.32 | | c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 267.13/37.32 | | ~ ndr1_0 | c1_1(v0))
% 267.13/37.32 | |
% 267.13/37.32 | | BETA: splitting (17) gives:
% 267.13/37.32 | |
% 267.13/37.32 | | Case 1:
% 267.13/37.32 | | |
% 267.13/37.32 | | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.32 | | | c2_1(v0))
% 267.13/37.32 | | |
% 267.13/37.32 | | | GROUND_INST: instantiating (18) with a1011, simplifying with (5), (6),
% 267.13/37.32 | | | (10), (11), (12) gives:
% 267.13/37.32 | | | (19) $false
% 267.13/37.32 | | |
% 267.13/37.32 | | | CLOSE: (19) is inconsistent.
% 267.13/37.32 | | |
% 267.13/37.32 | | Case 2:
% 267.13/37.32 | | |
% 267.13/37.32 | | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 267.13/37.32 | | | c1_1(v0))
% 267.13/37.32 | | |
% 267.13/37.32 | | | GROUND_INST: instantiating (20) with a1010, simplifying with (1), (2),
% 267.13/37.32 | | | (8), (9), (10) gives:
% 267.13/37.32 | | | (21) $false
% 267.13/37.32 | | |
% 267.13/37.32 | | | CLOSE: (21) is inconsistent.
% 267.13/37.32 | | |
% 267.13/37.32 | | End of split
% 267.13/37.32 | |
% 267.13/37.32 | End of split
% 267.13/37.32 |
% 267.13/37.32 End of proof
% 267.13/37.32
% 267.13/37.32 Sub-proof #124 shows that the following formulas are inconsistent:
% 267.13/37.32 ----------------------------------------------------------------
% 267.13/37.32 (1) $i(a1010)
% 267.13/37.32 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 267.13/37.32 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 267.13/37.32 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 267.13/37.32 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 267.13/37.32 (3) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 267.13/37.32 ~ c0_1(v0) | ~ ndr1_0)
% 267.13/37.32 (4) $i(a1019)
% 267.13/37.32 (5) ~ c1_1(a1010)
% 267.13/37.32 (6) ~ hskp9
% 267.13/37.32 (7) c2_1(a1044)
% 267.13/37.32 (8) c3_1(a1010)
% 267.13/37.32 (9) hskp22 | hskp14 | hskp12
% 267.13/37.32 (10) c0_1(a1010)
% 267.13/37.32 (11) ndr1_0
% 267.13/37.32 (12) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 267.13/37.32 (13) $i(a1044)
% 267.13/37.32 (14) ~ c3_1(a1044)
% 267.13/37.32 (15) c1_1(a1044)
% 267.13/37.32 (16) c0_1(a1044)
% 267.13/37.32 (17) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.32 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.32 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.32 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.32
% 267.13/37.32 Begin of proof
% 267.13/37.32 |
% 267.13/37.32 | BETA: splitting (9) gives:
% 267.13/37.32 |
% 267.13/37.32 | Case 1:
% 267.13/37.32 | |
% 267.13/37.32 | | (18) hskp12
% 267.13/37.32 | |
% 267.13/37.32 | | BETA: splitting (12) gives:
% 267.13/37.32 | |
% 267.13/37.32 | | Case 1:
% 267.13/37.32 | | |
% 267.13/37.32 | | | (19) ~ hskp12
% 267.13/37.32 | | |
% 267.13/37.32 | | | PRED_UNIFY: (18), (19) imply:
% 267.13/37.32 | | | (20) $false
% 267.13/37.32 | | |
% 267.13/37.32 | | | CLOSE: (20) is inconsistent.
% 267.13/37.32 | | |
% 267.13/37.32 | | Case 2:
% 267.13/37.32 | | |
% 267.13/37.32 | | | (21) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019)
% 267.13/37.32 | | |
% 267.13/37.32 | | | ALPHA: (21) implies:
% 267.13/37.32 | | | (22) ~ c0_1(a1019)
% 267.13/37.32 | | | (23) c2_1(a1019)
% 267.13/37.32 | | | (24) c1_1(a1019)
% 267.13/37.32 | | |
% 267.13/37.32 | | | BETA: splitting (17) gives:
% 267.13/37.32 | | |
% 267.13/37.32 | | | Case 1:
% 267.13/37.32 | | | |
% 267.13/37.32 | | | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.32 | | | | c0_1(v0))
% 267.13/37.32 | | | |
% 267.13/37.32 | | | | GROUND_INST: instantiating (25) with a1019, simplifying with (4), (11),
% 267.13/37.32 | | | | (22), (24) gives:
% 267.13/37.32 | | | | (26) c3_1(a1019)
% 267.13/37.32 | | | |
% 267.13/37.32 | | | | REF_CLOSE: (2), (4), (11), (22), (23), (24), (26) are inconsistent by
% 267.13/37.32 | | | | sub-proof #141.
% 267.13/37.32 | | | |
% 267.13/37.32 | | | Case 2:
% 267.13/37.32 | | | |
% 267.13/37.32 | | | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 267.13/37.32 | | | | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.32 | | | | c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.32 | | | |
% 267.13/37.32 | | | | BETA: splitting (27) gives:
% 267.13/37.32 | | | |
% 267.13/37.32 | | | | Case 1:
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | | (28) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.32 | | | | | ndr1_0 | c1_1(v0))
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | | GROUND_INST: instantiating (28) with a1010, simplifying with (1), (5),
% 267.13/37.32 | | | | | (8), (10), (11) gives:
% 267.13/37.32 | | | | | (29) $false
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | | CLOSE: (29) is inconsistent.
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | Case 2:
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.32 | | | | | ndr1_0 | c3_1(v0))
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | | GROUND_INST: instantiating (30) with a1044, simplifying with (7),
% 267.13/37.32 | | | | | (11), (13), (14), (16) gives:
% 267.13/37.32 | | | | | (31) $false
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | | CLOSE: (31) is inconsistent.
% 267.13/37.32 | | | | |
% 267.13/37.32 | | | | End of split
% 267.13/37.32 | | | |
% 267.13/37.32 | | | End of split
% 267.13/37.32 | | |
% 267.13/37.32 | | End of split
% 267.13/37.32 | |
% 267.13/37.32 | Case 2:
% 267.13/37.32 | |
% 267.13/37.32 | | (32) ~ hskp12
% 267.13/37.32 | |
% 267.13/37.32 | | REF_CLOSE: (3), (6), (7), (11), (13), (15), (16), (32) are inconsistent by
% 267.13/37.32 | | sub-proof #150.
% 267.13/37.32 | |
% 267.13/37.32 | End of split
% 267.13/37.32 |
% 267.13/37.32 End of proof
% 267.13/37.32
% 267.13/37.32 Sub-proof #125 shows that the following formulas are inconsistent:
% 267.13/37.32 ----------------------------------------------------------------
% 267.13/37.32 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.32 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.32 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.32 c1_1(v0) | c3_1(v0))
% 267.13/37.32 (2) $i(a1052)
% 267.13/37.32 (3) ~ c0_1(a1015)
% 267.13/37.32 (4) c3_1(a1052)
% 267.13/37.32 (5) ~ c3_1(a1008)
% 267.13/37.32 (6) $i(a1008)
% 267.13/37.32 (7) ~ c2_1(a1052)
% 267.13/37.32 (8) $i(a1015)
% 267.13/37.32 (9) ~ c1_1(a1008)
% 267.13/37.32 (10) ~ c0_1(a1052)
% 267.13/37.32 (11) c2_1(a1008)
% 267.13/37.32 (12) ndr1_0
% 267.13/37.32 (13) c3_1(a1015)
% 267.13/37.32 (14) ~ c1_1(a1015)
% 267.13/37.32
% 267.13/37.32 Begin of proof
% 267.13/37.32 |
% 267.13/37.32 | BETA: splitting (1) gives:
% 267.13/37.32 |
% 267.13/37.32 | Case 1:
% 267.13/37.32 | |
% 267.13/37.32 | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 267.13/37.32 | | c0_1(v0))
% 267.13/37.32 | |
% 267.13/37.32 | | GROUND_INST: instantiating (15) with a1015, simplifying with (3), (8), (12),
% 267.13/37.32 | | (13), (14) gives:
% 267.13/37.32 | | (16) $false
% 267.13/37.32 | |
% 267.13/37.32 | | CLOSE: (16) is inconsistent.
% 267.13/37.32 | |
% 267.13/37.32 | Case 2:
% 267.13/37.32 | |
% 267.13/37.33 | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.33 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.33 | | c1_1(v0) | c3_1(v0))
% 267.13/37.33 | |
% 267.13/37.33 | | REF_CLOSE: (2), (4), (5), (6), (7), (9), (10), (11), (12), (17) are
% 267.13/37.33 | | inconsistent by sub-proof #126.
% 267.13/37.33 | |
% 267.13/37.33 | End of split
% 267.13/37.33 |
% 267.13/37.33 End of proof
% 267.13/37.33
% 267.13/37.33 Sub-proof #126 shows that the following formulas are inconsistent:
% 267.13/37.33 ----------------------------------------------------------------
% 267.13/37.33 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) | c0_1(v0))
% 267.13/37.33 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 267.13/37.33 c3_1(v0))
% 267.13/37.33 (2) $i(a1052)
% 267.13/37.33 (3) c3_1(a1052)
% 267.13/37.33 (4) ~ c3_1(a1008)
% 267.13/37.33 (5) $i(a1008)
% 267.13/37.33 (6) ~ c2_1(a1052)
% 267.13/37.33 (7) ~ c1_1(a1008)
% 267.13/37.33 (8) ~ c0_1(a1052)
% 267.13/37.33 (9) c2_1(a1008)
% 267.13/37.33 (10) ndr1_0
% 267.13/37.33
% 267.13/37.33 Begin of proof
% 267.13/37.33 |
% 267.13/37.33 | BETA: splitting (1) gives:
% 267.13/37.33 |
% 267.13/37.33 | Case 1:
% 267.13/37.33 | |
% 267.13/37.33 | | (11) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.33 | | c0_1(v0))
% 267.13/37.33 | |
% 267.13/37.33 | | GROUND_INST: instantiating (11) with a1052, simplifying with (2), (3), (6),
% 267.13/37.33 | | (8), (10) gives:
% 267.13/37.33 | | (12) $false
% 267.13/37.33 | |
% 267.13/37.33 | | CLOSE: (12) is inconsistent.
% 267.13/37.33 | |
% 267.13/37.33 | Case 2:
% 267.13/37.33 | |
% 267.13/37.33 | | (13) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 267.13/37.33 | | c3_1(v0))
% 267.13/37.33 | |
% 267.13/37.33 | | GROUND_INST: instantiating (13) with a1008, simplifying with (4), (5), (7),
% 267.13/37.33 | | (9), (10) gives:
% 267.13/37.33 | | (14) $false
% 267.13/37.33 | |
% 267.13/37.33 | | CLOSE: (14) is inconsistent.
% 267.13/37.33 | |
% 267.13/37.33 | End of split
% 267.13/37.33 |
% 267.13/37.33 End of proof
% 267.13/37.33
% 267.13/37.33 Sub-proof #127 shows that the following formulas are inconsistent:
% 267.13/37.33 ----------------------------------------------------------------
% 267.13/37.33 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.33 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.33 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.33 c1_1(v0) | c3_1(v0))
% 267.13/37.33 (2) ~ c0_1(a1015)
% 267.13/37.33 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.33 (4) ~ c3_1(a1008)
% 267.13/37.33 (5) $i(a1008)
% 267.13/37.33 (6) $i(a1015)
% 267.13/37.33 (7) ~ c1_1(a1008)
% 267.13/37.33 (8) c2_1(a1008)
% 267.13/37.33 (9) ndr1_0
% 267.13/37.33 (10) c3_1(a1015)
% 267.13/37.33 (11) ~ c1_1(a1015)
% 267.13/37.33
% 267.13/37.33 Begin of proof
% 267.13/37.33 |
% 267.13/37.33 | BETA: splitting (1) gives:
% 267.13/37.33 |
% 267.13/37.33 | Case 1:
% 267.13/37.33 | |
% 267.13/37.33 | | (12) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 267.13/37.33 | | c0_1(v0))
% 267.13/37.33 | |
% 267.13/37.33 | | GROUND_INST: instantiating (12) with a1015, simplifying with (2), (6), (9),
% 267.13/37.33 | | (10), (11) gives:
% 267.13/37.33 | | (13) $false
% 267.13/37.33 | |
% 267.13/37.33 | | CLOSE: (13) is inconsistent.
% 267.13/37.33 | |
% 267.13/37.33 | Case 2:
% 267.13/37.33 | |
% 267.13/37.33 | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.33 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.33 | | c1_1(v0) | c3_1(v0))
% 267.13/37.33 | |
% 267.13/37.33 | | BETA: splitting (14) gives:
% 267.13/37.33 | |
% 267.13/37.33 | | Case 1:
% 267.13/37.33 | | |
% 267.13/37.33 | | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.33 | | | c0_1(v0))
% 267.13/37.33 | | |
% 267.13/37.33 | | | GROUND_INST: instantiating (15) with a1015, simplifying with (2), (6),
% 267.13/37.33 | | | (9), (10) gives:
% 267.13/37.33 | | | (16) c2_1(a1015)
% 267.13/37.33 | | |
% 267.13/37.33 | | | GROUND_INST: instantiating (3) with a1015, simplifying with (2), (6), (9),
% 267.13/37.33 | | | (11), (16) gives:
% 267.13/37.33 | | | (17) $false
% 267.13/37.33 | | |
% 267.13/37.33 | | | CLOSE: (17) is inconsistent.
% 267.13/37.33 | | |
% 267.13/37.33 | | Case 2:
% 267.13/37.33 | | |
% 267.13/37.33 | | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 267.13/37.33 | | | c3_1(v0))
% 267.13/37.33 | | |
% 267.13/37.33 | | | GROUND_INST: instantiating (18) with a1008, simplifying with (4), (5),
% 267.13/37.33 | | | (7), (8), (9) gives:
% 267.13/37.33 | | | (19) $false
% 267.13/37.33 | | |
% 267.13/37.33 | | | CLOSE: (19) is inconsistent.
% 267.13/37.33 | | |
% 267.13/37.33 | | End of split
% 267.13/37.33 | |
% 267.13/37.33 | End of split
% 267.13/37.33 |
% 267.13/37.33 End of proof
% 267.13/37.33
% 267.13/37.33 Sub-proof #128 shows that the following formulas are inconsistent:
% 267.13/37.33 ----------------------------------------------------------------
% 267.13/37.33 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.33 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.33 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.33 c1_1(v0) | c3_1(v0))
% 267.13/37.33 (2) $i(a1045)
% 267.13/37.33 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 267.13/37.33 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 267.13/37.33 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 267.13/37.33 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 267.13/37.33 (4) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 267.13/37.33 ~ c0_1(v0) | ~ ndr1_0)
% 267.13/37.33 (5) $i(a1019)
% 267.13/37.33 (6) ~ c0_1(a1015)
% 267.13/37.33 (7) ~ hskp6
% 267.13/37.33 (8) ~ hskp9
% 267.13/37.33 (9) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 267.13/37.33 (10) $i(a1025)
% 267.13/37.33 (11) $i(a1029)
% 267.13/37.33 (12) c2_1(a1044)
% 267.13/37.33 (13) ~ c3_1(a1008)
% 267.13/37.33 (14) $i(a1008)
% 267.13/37.33 (15) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 267.13/37.33 (16) $i(a1015)
% 267.13/37.33 (17) ~ c1_1(a1008)
% 267.13/37.33 (18) c2_1(a1008)
% 267.13/37.33 (19) ndr1_0
% 267.13/37.33 (20) ~ hskp3
% 267.13/37.33 (21) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 267.13/37.33 (22) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 267.13/37.33 (23) $i(a1044)
% 267.13/37.33 (24) ~ c3_1(a1044)
% 267.13/37.33 (25) hskp27 | hskp14 | hskp6
% 267.13/37.33 (26) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 267.13/37.33 ~ c0_1(v0) | ~ ndr1_0)
% 267.13/37.33 (27) c1_1(a1044)
% 267.13/37.33 (28) c0_1(a1044)
% 267.13/37.33 (29) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.33 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.33 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.33 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.33 (30) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.33 c2_1(v0))
% 267.13/37.33 (31) c3_1(a1015)
% 267.13/37.33 (32) ~ c1_1(a1015)
% 267.13/37.33
% 267.13/37.33 Begin of proof
% 267.13/37.33 |
% 267.13/37.33 | BETA: splitting (21) gives:
% 267.13/37.33 |
% 267.13/37.33 | Case 1:
% 267.13/37.33 | |
% 267.13/37.33 | | (33) ~ hskp12
% 267.13/37.33 | |
% 267.13/37.33 | | REF_CLOSE: (4), (8), (12), (19), (23), (27), (28), (33) are inconsistent by
% 267.13/37.33 | | sub-proof #150.
% 267.13/37.33 | |
% 267.13/37.33 | Case 2:
% 267.13/37.33 | |
% 267.13/37.33 | | (34) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019)
% 267.13/37.33 | |
% 267.13/37.33 | | ALPHA: (34) implies:
% 267.13/37.33 | | (35) ~ c0_1(a1019)
% 267.13/37.33 | | (36) c2_1(a1019)
% 267.13/37.33 | | (37) c1_1(a1019)
% 267.13/37.33 | |
% 267.13/37.33 | | BETA: splitting (9) gives:
% 267.13/37.33 | |
% 267.13/37.33 | | Case 1:
% 267.13/37.33 | | |
% 267.13/37.33 | | | (38) ~ hskp14
% 267.13/37.33 | | |
% 267.13/37.33 | | | BETA: splitting (25) gives:
% 267.13/37.33 | | |
% 267.13/37.33 | | | Case 1:
% 267.13/37.33 | | | |
% 267.13/37.33 | | | | (39) hskp6
% 267.13/37.33 | | | |
% 267.13/37.33 | | | | PRED_UNIFY: (7), (39) imply:
% 267.13/37.33 | | | | (40) $false
% 267.13/37.33 | | | |
% 267.13/37.33 | | | | CLOSE: (40) is inconsistent.
% 267.13/37.33 | | | |
% 267.13/37.33 | | | Case 2:
% 267.13/37.33 | | | |
% 267.13/37.33 | | | | (41) hskp27 | hskp14
% 267.13/37.33 | | | |
% 267.13/37.33 | | | | BETA: splitting (41) gives:
% 267.13/37.33 | | | |
% 267.13/37.33 | | | | Case 1:
% 267.13/37.33 | | | | |
% 267.13/37.33 | | | | | (42) hskp27
% 267.13/37.33 | | | | |
% 267.13/37.33 | | | | | REF_CLOSE: (1), (2), (3), (5), (6), (11), (12), (13), (14), (15),
% 267.13/37.33 | | | | | (16), (17), (18), (20), (22), (23), (24), (26), (28), (29),
% 267.13/37.33 | | | | | (31), (32), (35), (36), (37), (42) are inconsistent by
% 267.13/37.33 | | | | | sub-proof #129.
% 267.13/37.33 | | | | |
% 267.13/37.33 | | | | Case 2:
% 267.13/37.33 | | | | |
% 267.13/37.33 | | | | | (43) hskp14
% 267.13/37.33 | | | | |
% 267.13/37.33 | | | | | PRED_UNIFY: (38), (43) imply:
% 267.13/37.33 | | | | | (44) $false
% 267.13/37.33 | | | | |
% 267.13/37.33 | | | | | CLOSE: (44) is inconsistent.
% 267.13/37.33 | | | | |
% 267.13/37.33 | | | | End of split
% 267.13/37.33 | | | |
% 267.13/37.33 | | | End of split
% 267.13/37.33 | | |
% 267.13/37.33 | | Case 2:
% 267.13/37.33 | | |
% 267.13/37.33 | | | (45) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025)
% 267.13/37.33 | | |
% 267.13/37.33 | | | REF_CLOSE: (10), (30), (45) are inconsistent by sub-proof #155.
% 267.13/37.33 | | |
% 267.13/37.33 | | End of split
% 267.13/37.33 | |
% 267.13/37.33 | End of split
% 267.13/37.33 |
% 267.13/37.33 End of proof
% 267.13/37.33
% 267.13/37.33 Sub-proof #129 shows that the following formulas are inconsistent:
% 267.13/37.33 ----------------------------------------------------------------
% 267.13/37.33 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.33 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.33 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.33 c1_1(v0) | c3_1(v0))
% 267.13/37.33 (2) $i(a1045)
% 267.13/37.33 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 267.13/37.33 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 267.13/37.33 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 267.13/37.33 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 267.13/37.33 (4) $i(a1019)
% 267.13/37.33 (5) ~ c0_1(a1015)
% 267.13/37.33 (6) $i(a1029)
% 267.13/37.33 (7) c2_1(a1044)
% 267.13/37.33 (8) ~ c3_1(a1008)
% 267.13/37.33 (9) $i(a1008)
% 267.13/37.33 (10) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 267.13/37.33 (11) $i(a1015)
% 267.13/37.33 (12) ~ c1_1(a1008)
% 267.13/37.33 (13) hskp27
% 267.13/37.33 (14) c2_1(a1008)
% 267.13/37.33 (15) ~ hskp3
% 267.13/37.33 (16) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 267.13/37.33 (17) $i(a1044)
% 267.13/37.33 (18) ~ c3_1(a1044)
% 267.13/37.33 (19) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 267.13/37.33 ~ c0_1(v0) | ~ ndr1_0)
% 267.13/37.33 (20) c0_1(a1044)
% 267.13/37.34 (21) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 267.13/37.34 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.34 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.34 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.34 (22) c2_1(a1019)
% 267.13/37.34 (23) c1_1(a1019)
% 267.13/37.34 (24) ~ c0_1(a1019)
% 267.13/37.34 (25) c3_1(a1015)
% 267.13/37.34 (26) ~ c1_1(a1015)
% 267.13/37.34
% 267.13/37.34 Begin of proof
% 267.13/37.34 |
% 267.13/37.34 | BETA: splitting (10) gives:
% 267.13/37.34 |
% 267.13/37.34 | Case 1:
% 267.13/37.34 | |
% 267.13/37.34 | | (27) ~ hskp27
% 267.13/37.34 | |
% 267.13/37.34 | | PRED_UNIFY: (13), (27) imply:
% 267.13/37.34 | | (28) $false
% 267.13/37.34 | |
% 267.13/37.34 | | CLOSE: (28) is inconsistent.
% 267.13/37.34 | |
% 267.13/37.34 | Case 2:
% 267.13/37.34 | |
% 267.13/37.34 | | (29) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 267.13/37.34 | |
% 267.13/37.34 | | ALPHA: (29) implies:
% 267.13/37.34 | | (30) ndr1_0
% 267.13/37.34 | | (31) c0_1(a1029)
% 267.13/37.34 | | (32) c2_1(a1029)
% 267.13/37.34 | | (33) c3_1(a1029)
% 267.13/37.34 | |
% 267.13/37.34 | | BETA: splitting (16) gives:
% 267.13/37.34 | |
% 267.13/37.34 | | Case 1:
% 267.13/37.34 | | |
% 267.13/37.34 | | | (34) ~ hskp24
% 267.13/37.34 | | |
% 267.13/37.34 | | | REF_CLOSE: (6), (15), (19), (30), (31), (32), (33), (34) are inconsistent
% 267.13/37.34 | | | by sub-proof #146.
% 267.13/37.34 | | |
% 267.13/37.34 | | Case 2:
% 267.13/37.34 | | |
% 267.13/37.34 | | | (35) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 267.13/37.34 | | |
% 267.13/37.34 | | | ALPHA: (35) implies:
% 267.13/37.34 | | | (36) ~ c0_1(a1045)
% 267.13/37.34 | | | (37) c3_1(a1045)
% 267.13/37.34 | | | (38) c1_1(a1045)
% 267.13/37.34 | | |
% 267.13/37.34 | | | BETA: splitting (3) gives:
% 267.13/37.34 | | |
% 267.13/37.34 | | | Case 1:
% 267.13/37.34 | | | |
% 267.13/37.34 | | | | (39) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 267.13/37.34 | | | | c2_1(v0) | ~ ndr1_0)
% 267.13/37.34 | | | |
% 267.13/37.34 | | | | BETA: splitting (1) gives:
% 267.13/37.34 | | | |
% 267.13/37.34 | | | | Case 1:
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | | (40) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0)
% 267.13/37.34 | | | | | | c0_1(v0))
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | | GROUND_INST: instantiating (40) with a1015, simplifying with (5),
% 267.13/37.34 | | | | | (11), (25), (26), (30) gives:
% 267.13/37.34 | | | | | (41) $false
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | | CLOSE: (41) is inconsistent.
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | Case 2:
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | | (42) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0)
% 267.13/37.34 | | | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 267.13/37.34 | | | | | ndr1_0 | c1_1(v0) | c3_1(v0))
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | | BETA: splitting (42) gives:
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | | Case 1:
% 267.13/37.34 | | | | | |
% 267.13/37.34 | | | | | | (43) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 267.13/37.34 | | | | | | c2_1(v0) | c0_1(v0))
% 267.13/37.34 | | | | | |
% 267.13/37.34 | | | | | | GROUND_INST: instantiating (43) with a1015, simplifying with (5),
% 267.13/37.34 | | | | | | (11), (25), (30) gives:
% 267.13/37.34 | | | | | | (44) c2_1(a1015)
% 267.13/37.34 | | | | | |
% 267.13/37.34 | | | | | | BETA: splitting (21) gives:
% 267.13/37.34 | | | | | |
% 267.13/37.34 | | | | | | Case 1:
% 267.13/37.34 | | | | | | |
% 267.13/37.34 | | | | | | | (45) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 267.13/37.34 | | | | | | | c3_1(v0) | c0_1(v0))
% 267.13/37.34 | | | | | | |
% 267.13/37.34 | | | | | | | GROUND_INST: instantiating (45) with a1019, simplifying with (4),
% 267.13/37.34 | | | | | | | (23), (24), (30) gives:
% 267.13/37.34 | | | | | | | (46) c3_1(a1019)
% 267.13/37.34 | | | | | | |
% 267.13/37.34 | | | | | | | GROUND_INST: instantiating (39) with a1019, simplifying with (4),
% 267.13/37.34 | | | | | | | (22), (23), (30), (46) gives:
% 267.13/37.34 | | | | | | | (47) $false
% 267.13/37.34 | | | | | | |
% 267.13/37.34 | | | | | | | CLOSE: (47) is inconsistent.
% 267.13/37.34 | | | | | | |
% 267.13/37.34 | | | | | | Case 2:
% 267.13/37.34 | | | | | | |
% 267.13/37.34 | | | | | | | (48) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 267.13/37.34 | | | | | | | ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 267.13/37.34 | | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 267.13/37.34 | | | | | | |
% 267.13/37.34 | | | | | | | BETA: splitting (48) gives:
% 267.13/37.34 | | | | | | |
% 267.13/37.34 | | | | | | | Case 1:
% 267.13/37.34 | | | | | | | |
% 267.13/37.34 | | | | | | | | (49) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 267.13/37.34 | | | | | | | | ~ ndr1_0 | c1_1(v0))
% 267.13/37.34 | | | | | | | |
% 267.13/37.34 | | | | | | | | GROUND_INST: instantiating (49) with a1029, simplifying with
% 267.13/37.34 | | | | | | | | (6), (30), (31), (33) gives:
% 267.13/37.34 | | | | | | | | (50) c1_1(a1029)
% 267.13/37.34 | | | | | | | |
% 267.13/37.34 | | | | | | | | REF_CLOSE: (2), (3), (5), (6), (11), (25), (30), (32), (33),
% 267.13/37.34 | | | | | | | | (36), (37), (38), (44), (50) are inconsistent by
% 267.13/37.34 | | | | | | | | sub-proof #131.
% 267.13/37.34 | | | | | | | |
% 267.13/37.34 | | | | | | | Case 2:
% 267.13/37.34 | | | | | | | |
% 267.13/37.34 | | | | | | | | (51) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 267.13/37.34 | | | | | | | | ~ ndr1_0 | c3_1(v0))
% 267.13/37.34 | | | | | | | |
% 267.13/37.34 | | | | | | | | GROUND_INST: instantiating (51) with a1044, simplifying with
% 267.13/37.34 | | | | | | | | (7), (17), (18), (20), (30) gives:
% 267.13/37.34 | | | | | | | | (52) $false
% 267.13/37.34 | | | | | | | |
% 267.13/37.34 | | | | | | | | CLOSE: (52) is inconsistent.
% 267.13/37.34 | | | | | | | |
% 267.13/37.34 | | | | | | | End of split
% 267.13/37.34 | | | | | | |
% 267.13/37.34 | | | | | | End of split
% 267.13/37.34 | | | | | |
% 267.13/37.34 | | | | | Case 2:
% 267.13/37.34 | | | | | |
% 267.13/37.34 | | | | | | (53) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.34 | | | | | | c1_1(v0) | c3_1(v0))
% 267.13/37.34 | | | | | |
% 267.13/37.34 | | | | | | GROUND_INST: instantiating (53) with a1008, simplifying with (8),
% 267.13/37.34 | | | | | | (9), (12), (14), (30) gives:
% 267.13/37.34 | | | | | | (54) $false
% 267.13/37.34 | | | | | |
% 267.13/37.34 | | | | | | CLOSE: (54) is inconsistent.
% 267.13/37.34 | | | | | |
% 267.13/37.34 | | | | | End of split
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | End of split
% 267.13/37.34 | | | |
% 267.13/37.34 | | | Case 2:
% 267.13/37.34 | | | |
% 267.13/37.34 | | | | (55) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0
% 267.13/37.34 | | | | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 267.13/37.34 | | | | c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 267.13/37.34 | | | |
% 267.13/37.34 | | | | BETA: splitting (55) gives:
% 267.13/37.34 | | | |
% 267.13/37.34 | | | | Case 1:
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | | (56) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 267.13/37.34 | | | | | ndr1_0 | c0_1(v0))
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | | GROUND_INST: instantiating (56) with a1045, simplifying with (2),
% 267.13/37.34 | | | | | (30), (36), (37), (38) gives:
% 267.13/37.34 | | | | | (57) $false
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | | CLOSE: (57) is inconsistent.
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | Case 2:
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | | (58) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 267.13/37.34 | | | | | ndr1_0 | c0_1(v0))
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | | REF_CLOSE: (1), (5), (8), (9), (11), (12), (14), (25), (26), (30),
% 267.13/37.34 | | | | | (58) are inconsistent by sub-proof #130.
% 267.13/37.34 | | | | |
% 267.13/37.34 | | | | End of split
% 267.13/37.34 | | | |
% 267.13/37.34 | | | End of split
% 267.13/37.34 | | |
% 267.13/37.34 | | End of split
% 267.13/37.34 | |
% 267.13/37.34 | End of split
% 267.13/37.34 |
% 267.13/37.34 End of proof
% 267.13/37.34
% 267.13/37.34 Sub-proof #130 shows that the following formulas are inconsistent:
% 267.13/37.34 ----------------------------------------------------------------
% 267.13/37.34 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) | c0_1(v0))
% 267.13/37.34 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 267.13/37.34 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.34 c1_1(v0) | c3_1(v0))
% 267.13/37.34 (2) ~ c0_1(a1015)
% 267.13/37.34 (3) ~ c3_1(a1008)
% 267.13/37.34 (4) $i(a1008)
% 267.13/37.34 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 267.13/37.34 c0_1(v0))
% 267.13/37.34 (6) $i(a1015)
% 267.13/37.34 (7) ~ c1_1(a1008)
% 267.13/37.34 (8) c2_1(a1008)
% 267.13/37.34 (9) ndr1_0
% 267.13/37.34 (10) c3_1(a1015)
% 267.13/37.34 (11) ~ c1_1(a1015)
% 267.13/37.34
% 267.13/37.34 Begin of proof
% 267.13/37.34 |
% 267.13/37.34 | BETA: splitting (1) gives:
% 267.13/37.34 |
% 267.13/37.34 | Case 1:
% 267.13/37.34 | |
% 267.13/37.34 | | (12) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 267.13/37.34 | | c0_1(v0))
% 267.13/37.34 | |
% 267.13/37.34 | | GROUND_INST: instantiating (12) with a1015, simplifying with (2), (6), (9),
% 267.13/37.34 | | (10), (11) gives:
% 267.13/37.34 | | (13) $false
% 267.13/37.34 | |
% 267.13/37.34 | | CLOSE: (13) is inconsistent.
% 267.13/37.34 | |
% 267.13/37.34 | Case 2:
% 267.13/37.34 | |
% 268.06/37.34 | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 268.06/37.34 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.06/37.34 | | c1_1(v0) | c3_1(v0))
% 268.06/37.34 | |
% 268.06/37.34 | | BETA: splitting (14) gives:
% 268.06/37.34 | |
% 268.06/37.34 | | Case 1:
% 268.06/37.34 | | |
% 268.06/37.34 | | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c2_1(v0) |
% 268.06/37.34 | | | c0_1(v0))
% 268.06/37.34 | | |
% 268.06/37.34 | | | GROUND_INST: instantiating (15) with a1015, simplifying with (2), (6),
% 268.06/37.34 | | | (9), (10) gives:
% 268.06/37.34 | | | (16) c2_1(a1015)
% 268.06/37.34 | | |
% 268.06/37.34 | | | GROUND_INST: instantiating (5) with a1015, simplifying with (2), (6), (9),
% 268.06/37.34 | | | (10), (16) gives:
% 268.06/37.34 | | | (17) $false
% 268.06/37.34 | | |
% 268.06/37.34 | | | CLOSE: (17) is inconsistent.
% 268.06/37.34 | | |
% 268.06/37.34 | | Case 2:
% 268.06/37.34 | | |
% 268.06/37.34 | | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 268.06/37.34 | | | c3_1(v0))
% 268.06/37.34 | | |
% 268.06/37.34 | | | GROUND_INST: instantiating (18) with a1008, simplifying with (3), (4),
% 268.06/37.34 | | | (7), (8), (9) gives:
% 268.06/37.34 | | | (19) $false
% 268.06/37.34 | | |
% 268.06/37.34 | | | CLOSE: (19) is inconsistent.
% 268.06/37.34 | | |
% 268.06/37.34 | | End of split
% 268.06/37.34 | |
% 268.06/37.34 | End of split
% 268.06/37.34 |
% 268.06/37.34 End of proof
% 268.06/37.34
% 268.06/37.34 Sub-proof #131 shows that the following formulas are inconsistent:
% 268.06/37.34 ----------------------------------------------------------------
% 268.06/37.34 (1) c2_1(a1015)
% 268.06/37.34 (2) $i(a1045)
% 268.06/37.34 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.06/37.34 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.06/37.34 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 268.06/37.34 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 268.06/37.34 (4) ~ c0_1(a1015)
% 268.06/37.34 (5) c1_1(a1029)
% 268.06/37.34 (6) $i(a1029)
% 268.06/37.34 (7) c3_1(a1029)
% 268.06/37.34 (8) c1_1(a1045)
% 268.06/37.34 (9) c3_1(a1045)
% 268.06/37.34 (10) $i(a1015)
% 268.06/37.34 (11) ndr1_0
% 268.06/37.34 (12) ~ c0_1(a1045)
% 268.06/37.34 (13) c3_1(a1015)
% 268.06/37.34 (14) c2_1(a1029)
% 268.06/37.34
% 268.06/37.34 Begin of proof
% 268.06/37.34 |
% 268.06/37.34 | BETA: splitting (3) gives:
% 268.06/37.34 |
% 268.06/37.34 | Case 1:
% 268.06/37.34 | |
% 268.06/37.34 | | (15) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 268.06/37.34 | | ~ ndr1_0)
% 268.06/37.34 | |
% 268.06/37.34 | | GROUND_INST: instantiating (15) with a1029, simplifying with (5), (6), (7),
% 268.06/37.34 | | (11), (14) gives:
% 268.06/37.34 | | (16) $false
% 268.06/37.34 | |
% 268.06/37.34 | | CLOSE: (16) is inconsistent.
% 268.06/37.34 | |
% 268.06/37.34 | Case 2:
% 268.06/37.34 | |
% 268.06/37.34 | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 268.06/37.34 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 268.06/37.34 | | ~ ndr1_0 | c0_1(v0))
% 268.06/37.34 | |
% 268.06/37.34 | | BETA: splitting (17) gives:
% 268.06/37.34 | |
% 268.06/37.34 | | Case 1:
% 268.06/37.34 | | |
% 268.06/37.34 | | | (18) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 268.06/37.34 | | | c0_1(v0))
% 268.06/37.34 | | |
% 268.06/37.34 | | | GROUND_INST: instantiating (18) with a1045, simplifying with (2), (8),
% 268.06/37.34 | | | (9), (11), (12) gives:
% 268.06/37.34 | | | (19) $false
% 268.06/37.34 | | |
% 268.06/37.34 | | | CLOSE: (19) is inconsistent.
% 268.06/37.34 | | |
% 268.06/37.34 | | Case 2:
% 268.06/37.34 | | |
% 268.06/37.34 | | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.06/37.34 | | | c0_1(v0))
% 268.06/37.34 | | |
% 268.06/37.34 | | | GROUND_INST: instantiating (20) with a1015, simplifying with (1), (4),
% 268.06/37.34 | | | (10), (11), (13) gives:
% 268.06/37.34 | | | (21) $false
% 268.06/37.34 | | |
% 268.06/37.34 | | | CLOSE: (21) is inconsistent.
% 268.06/37.34 | | |
% 268.06/37.34 | | End of split
% 268.06/37.34 | |
% 268.06/37.34 | End of split
% 268.06/37.34 |
% 268.06/37.34 End of proof
% 268.06/37.34
% 268.06/37.34 Sub-proof #132 shows that the following formulas are inconsistent:
% 268.06/37.34 ----------------------------------------------------------------
% 268.06/37.34 (1) ~ c2_1(a1006)
% 268.06/37.34 (2) c1_1(a1011) & c0_1(a1011) & ndr1_0 & ~ c2_1(a1011)
% 268.06/37.34 (3) hskp2 | hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.06/37.34 c3_1(v0) | c0_1(v0))
% 268.06/37.35 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.06/37.35 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.06/37.35 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 268.06/37.35 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 268.06/37.35 (5) c3_1(a1006)
% 268.06/37.35 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.06/37.35 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.06/37.35 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 268.06/37.35 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 268.06/37.35 (7) ~ hskp17 | (c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~ c0_1(a1032))
% 268.06/37.35 (8) $i(a1032)
% 268.06/37.35 (9) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.06/37.35 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.06/37.35 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 268.06/37.35 | c1_1(v0) | c0_1(v0))
% 268.06/37.35 (10) c2_1(a1044)
% 268.06/37.35 (11) $i(a1011)
% 268.06/37.35 (12) ~ c3_1(a1008)
% 268.06/37.35 (13) $i(a1008)
% 268.06/37.35 (14) ~ hskp2 | (c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~ c1_1(a1002))
% 268.06/37.35 (15) ~ c1_1(a1008)
% 268.06/37.35 (16) ~ hskp1
% 268.06/37.35 (17) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 268.06/37.35 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 268.06/37.35 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 268.06/37.35 (18) $i(a1002)
% 268.06/37.35 (19) c2_1(a1008)
% 268.06/37.35 (20) $i(a1044)
% 268.06/37.35 (21) ~ c3_1(a1044)
% 268.06/37.35 (22) $i(a1006)
% 268.06/37.35 (23) c1_1(a1044)
% 268.06/37.35 (24) c0_1(a1044)
% 268.06/37.35 (25) c0_1(a1006)
% 268.06/37.35
% 268.06/37.35 Begin of proof
% 268.06/37.35 |
% 268.06/37.35 | ALPHA: (2) implies:
% 268.06/37.35 | (26) ~ c2_1(a1011)
% 268.06/37.35 | (27) ndr1_0
% 268.06/37.35 | (28) c0_1(a1011)
% 268.06/37.35 | (29) c1_1(a1011)
% 268.06/37.35 |
% 268.06/37.35 | BETA: splitting (7) gives:
% 268.06/37.35 |
% 268.06/37.35 | Case 1:
% 268.06/37.35 | |
% 268.06/37.35 | | (30) ~ hskp17
% 268.06/37.35 | |
% 268.06/37.35 | | REF_CLOSE: (3), (9), (10), (11), (12), (13), (14), (15), (16), (17), (18),
% 268.06/37.35 | | (19), (20), (23), (24), (26), (27), (28), (29), (30) are
% 268.06/37.35 | | inconsistent by sub-proof #142.
% 268.06/37.35 | |
% 268.06/37.35 | Case 2:
% 268.06/37.35 | |
% 268.06/37.35 | | (31) c3_1(a1032) & c2_1(a1032) & ndr1_0 & ~ c0_1(a1032)
% 268.06/37.35 | |
% 268.06/37.35 | | ALPHA: (31) implies:
% 268.06/37.35 | | (32) ~ c0_1(a1032)
% 268.06/37.35 | | (33) c2_1(a1032)
% 268.06/37.35 | | (34) c3_1(a1032)
% 268.06/37.35 | |
% 268.06/37.35 | | REF_CLOSE: (1), (4), (5), (6), (8), (10), (20), (21), (22), (23), (25),
% 268.06/37.35 | | (27), (32), (33), (34) are inconsistent by sub-proof #136.
% 268.06/37.35 | |
% 268.06/37.35 | End of split
% 268.06/37.35 |
% 268.06/37.35 End of proof
% 268.06/37.35
% 268.06/37.35 Sub-proof #133 shows that the following formulas are inconsistent:
% 268.06/37.35 ----------------------------------------------------------------
% 268.06/37.35 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.06/37.35 c2_1(v0))
% 268.06/37.35 (2) ~ c2_1(a1006)
% 268.06/37.35 (3) c3_1(a1006)
% 268.06/37.35 (4) $i(a1019)
% 268.06/37.35 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.06/37.35 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.06/37.35 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 268.06/37.35 | c1_1(v0) | c0_1(v0))
% 268.06/37.35 (6) c2_1(a1044)
% 268.06/37.35 (7) ~ c1_1(a1002)
% 268.06/37.35 (8) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.06/37.35 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0)
% 268.06/37.35 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 268.06/37.35 c1_1(v0) | c2_1(v0))
% 268.06/37.35 (9) c2_1(a1002)
% 268.06/37.35 (10) ~ c3_1(a1008)
% 268.06/37.35 (11) $i(a1008)
% 268.06/37.35 (12) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.06/37.35 c0_1(v0))
% 268.06/37.35 (13) ~ c1_1(a1008)
% 268.06/37.35 (14) $i(a1002)
% 268.06/37.35 (15) c2_1(a1008)
% 268.06/37.35 (16) ndr1_0
% 268.06/37.35 (17) $i(a1044)
% 268.06/37.35 (18) ~ c3_1(a1044)
% 268.06/37.35 (19) $i(a1006)
% 268.06/37.35 (20) c0_1(a1002)
% 268.06/37.35 (21) c1_1(a1044)
% 268.06/37.35 (22) c0_1(a1044)
% 268.06/37.35 (23) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.06/37.35 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.06/37.35 ndr1_0 | c3_1(v0))
% 268.06/37.35 (24) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.06/37.35 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 268.06/37.35 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 268.06/37.35 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 268.06/37.35 (25) c0_1(a1006)
% 268.06/37.35 (26) c2_1(a1019)
% 268.06/37.35 (27) c1_1(a1019)
% 268.06/37.35 (28) ~ c0_1(a1019)
% 268.06/37.35
% 268.06/37.35 Begin of proof
% 268.06/37.35 |
% 268.06/37.35 | BETA: splitting (8) gives:
% 268.06/37.35 |
% 268.06/37.35 | Case 1:
% 268.06/37.35 | |
% 268.06/37.35 | | (29) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 268.06/37.35 | | ~ ndr1_0)
% 268.06/37.35 | |
% 268.06/37.35 | | REF_CLOSE: (1), (2), (3), (4), (6), (16), (17), (18), (19), (22), (24),
% 268.06/37.35 | | (25), (26), (27), (28), (29) are inconsistent by sub-proof #135.
% 268.06/37.35 | |
% 268.06/37.35 | Case 2:
% 268.06/37.35 | |
% 268.06/37.35 | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.06/37.35 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 268.06/37.35 | | c1_1(v0) | c2_1(v0))
% 268.06/37.35 | |
% 268.06/37.35 | | BETA: splitting (30) gives:
% 268.06/37.35 | |
% 268.06/37.35 | | Case 1:
% 268.06/37.35 | | |
% 268.06/37.35 | | | (31) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.06/37.35 | | | c0_1(v0))
% 268.06/37.35 | | |
% 268.06/37.35 | | | GROUND_INST: instantiating (31) with a1019, simplifying with (4), (16),
% 268.06/37.35 | | | (27), (28) gives:
% 268.06/37.35 | | | (32) c3_1(a1019)
% 268.06/37.35 | | |
% 268.06/37.35 | | | GROUND_INST: instantiating (12) with a1019, simplifying with (4), (16),
% 268.06/37.35 | | | (26), (28), (32) gives:
% 268.06/37.35 | | | (33) $false
% 268.06/37.35 | | |
% 268.06/37.35 | | | CLOSE: (33) is inconsistent.
% 268.06/37.35 | | |
% 268.06/37.35 | | Case 2:
% 268.06/37.35 | | |
% 268.06/37.35 | | | (34) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 268.06/37.35 | | | c2_1(v0))
% 268.06/37.35 | | |
% 268.06/37.35 | | | GROUND_INST: instantiating (34) with a1006, simplifying with (2), (3),
% 268.06/37.35 | | | (16), (19) gives:
% 268.06/37.35 | | | (35) c1_1(a1006)
% 268.06/37.35 | | |
% 268.06/37.35 | | | REF_CLOSE: (2), (5), (6), (7), (9), (10), (11), (13), (14), (15), (16),
% 268.06/37.35 | | | (17), (19), (20), (21), (22), (23), (25), (35) are inconsistent
% 268.06/37.35 | | | by sub-proof #137.
% 268.06/37.35 | | |
% 268.06/37.35 | | End of split
% 268.06/37.35 | |
% 268.06/37.35 | End of split
% 268.06/37.35 |
% 268.06/37.35 End of proof
% 268.06/37.35
% 268.06/37.35 Sub-proof #134 shows that the following formulas are inconsistent:
% 268.06/37.35 ----------------------------------------------------------------
% 268.06/37.35 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.06/37.35 c2_1(v0))
% 268.06/37.35 (2) ~ c2_1(a1006)
% 268.06/37.35 (3) c3_1(a1006)
% 268.06/37.35 (4) $i(a1019)
% 268.06/37.35 (5) c2_1(a1044)
% 268.06/37.35 (6) ndr1_0
% 268.06/37.35 (7) $i(a1044)
% 268.06/37.35 (8) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 268.06/37.35 c0_1(v0))
% 268.06/37.35 (9) ~ c3_1(a1044)
% 268.06/37.35 (10) $i(a1006)
% 268.06/37.35 (11) c0_1(a1044)
% 268.06/37.35 (12) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.06/37.35 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 268.06/37.35 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 268.06/37.35 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 268.06/37.35 (13) c0_1(a1006)
% 268.06/37.35 (14) c1_1(a1019)
% 268.06/37.35 (15) ~ c0_1(a1019)
% 268.06/37.35
% 268.06/37.35 Begin of proof
% 268.06/37.35 |
% 268.06/37.35 | BETA: splitting (12) gives:
% 268.06/37.35 |
% 268.06/37.35 | Case 1:
% 268.06/37.35 | |
% 268.06/37.35 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.06/37.35 | | c0_1(v0))
% 268.06/37.35 | |
% 268.06/37.35 | | GROUND_INST: instantiating (16) with a1019, simplifying with (4), (6), (14),
% 268.06/37.35 | | (15) gives:
% 268.06/37.35 | | (17) c3_1(a1019)
% 268.06/37.35 | |
% 268.06/37.35 | | GROUND_INST: instantiating (8) with a1019, simplifying with (4), (6), (14),
% 268.06/37.35 | | (15), (17) gives:
% 268.06/37.35 | | (18) $false
% 268.06/37.35 | |
% 268.06/37.35 | | CLOSE: (18) is inconsistent.
% 268.06/37.35 | |
% 268.06/37.35 | Case 2:
% 268.06/37.35 | |
% 268.06/37.35 | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.06/37.35 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 268.06/37.35 | | ~ ndr1_0 | c3_1(v0))
% 268.06/37.35 | |
% 268.06/37.35 | | BETA: splitting (19) gives:
% 268.06/37.35 | |
% 268.06/37.35 | | Case 1:
% 268.06/37.35 | | |
% 268.06/37.35 | | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.06/37.35 | | | c1_1(v0))
% 268.06/37.35 | | |
% 268.06/37.35 | | | GROUND_INST: instantiating (20) with a1006, simplifying with (3), (6),
% 268.06/37.35 | | | (10), (13) gives:
% 268.06/37.35 | | | (21) c1_1(a1006)
% 268.06/37.35 | | |
% 268.06/37.35 | | | GROUND_INST: instantiating (1) with a1006, simplifying with (2), (6),
% 268.06/37.35 | | | (10), (13), (21) gives:
% 268.06/37.35 | | | (22) $false
% 268.06/37.35 | | |
% 268.06/37.35 | | | CLOSE: (22) is inconsistent.
% 268.06/37.35 | | |
% 268.06/37.35 | | Case 2:
% 268.06/37.35 | | |
% 268.06/37.35 | | | (23) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.06/37.35 | | | c3_1(v0))
% 268.06/37.35 | | |
% 268.06/37.35 | | | GROUND_INST: instantiating (23) with a1044, simplifying with (5), (6),
% 268.06/37.35 | | | (7), (9), (11) gives:
% 268.06/37.35 | | | (24) $false
% 268.06/37.35 | | |
% 268.06/37.35 | | | CLOSE: (24) is inconsistent.
% 268.06/37.35 | | |
% 268.06/37.35 | | End of split
% 268.06/37.35 | |
% 268.06/37.35 | End of split
% 268.06/37.35 |
% 268.06/37.35 End of proof
% 268.06/37.35
% 268.06/37.35 Sub-proof #135 shows that the following formulas are inconsistent:
% 268.06/37.35 ----------------------------------------------------------------
% 268.06/37.35 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.06/37.35 c2_1(v0))
% 268.06/37.35 (2) ~ c2_1(a1006)
% 268.06/37.35 (3) c3_1(a1006)
% 268.06/37.35 (4) $i(a1019)
% 268.06/37.35 (5) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.06/37.35 ndr1_0)
% 268.06/37.35 (6) c2_1(a1044)
% 268.06/37.35 (7) ndr1_0
% 268.06/37.35 (8) $i(a1044)
% 268.06/37.35 (9) ~ c3_1(a1044)
% 268.06/37.35 (10) $i(a1006)
% 268.06/37.35 (11) c0_1(a1044)
% 268.06/37.35 (12) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.06/37.35 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 268.06/37.35 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 268.06/37.35 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 268.06/37.35 (13) c0_1(a1006)
% 268.06/37.35 (14) c2_1(a1019)
% 268.06/37.35 (15) c1_1(a1019)
% 268.06/37.35 (16) ~ c0_1(a1019)
% 268.06/37.35
% 268.06/37.35 Begin of proof
% 268.06/37.35 |
% 268.06/37.35 | BETA: splitting (12) gives:
% 268.06/37.35 |
% 268.06/37.35 | Case 1:
% 268.06/37.35 | |
% 268.06/37.36 | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.06/37.36 | | c0_1(v0))
% 268.06/37.36 | |
% 268.06/37.36 | | GROUND_INST: instantiating (17) with a1019, simplifying with (4), (7), (15),
% 268.06/37.36 | | (16) gives:
% 268.06/37.36 | | (18) c3_1(a1019)
% 268.06/37.36 | |
% 268.06/37.36 | | GROUND_INST: instantiating (5) with a1019, simplifying with (4), (7), (14),
% 268.06/37.36 | | (15), (18) gives:
% 268.06/37.36 | | (19) $false
% 268.06/37.36 | |
% 268.06/37.36 | | CLOSE: (19) is inconsistent.
% 268.06/37.36 | |
% 268.06/37.36 | Case 2:
% 268.06/37.36 | |
% 268.06/37.36 | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.06/37.36 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 268.06/37.36 | | ~ ndr1_0 | c3_1(v0))
% 268.06/37.36 | |
% 268.06/37.36 | | BETA: splitting (20) gives:
% 268.06/37.36 | |
% 268.06/37.36 | | Case 1:
% 268.06/37.36 | | |
% 268.06/37.36 | | | (21) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.06/37.36 | | | c1_1(v0))
% 268.06/37.36 | | |
% 268.06/37.36 | | | GROUND_INST: instantiating (21) with a1006, simplifying with (3), (7),
% 268.06/37.36 | | | (10), (13) gives:
% 268.06/37.36 | | | (22) c1_1(a1006)
% 268.06/37.36 | | |
% 268.06/37.36 | | | GROUND_INST: instantiating (1) with a1006, simplifying with (2), (7),
% 268.06/37.36 | | | (10), (13), (22) gives:
% 268.06/37.36 | | | (23) $false
% 268.06/37.36 | | |
% 268.06/37.36 | | | CLOSE: (23) is inconsistent.
% 268.06/37.36 | | |
% 268.06/37.36 | | Case 2:
% 268.06/37.36 | | |
% 268.06/37.36 | | | (24) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.06/37.36 | | | c3_1(v0))
% 268.06/37.36 | | |
% 268.06/37.36 | | | GROUND_INST: instantiating (24) with a1044, simplifying with (6), (7),
% 268.06/37.36 | | | (8), (9), (11) gives:
% 268.06/37.36 | | | (25) $false
% 268.06/37.36 | | |
% 268.06/37.36 | | | CLOSE: (25) is inconsistent.
% 268.06/37.36 | | |
% 268.06/37.36 | | End of split
% 268.06/37.36 | |
% 268.06/37.36 | End of split
% 268.06/37.36 |
% 268.06/37.36 End of proof
% 268.06/37.36
% 268.06/37.36 Sub-proof #136 shows that the following formulas are inconsistent:
% 268.06/37.36 ----------------------------------------------------------------
% 268.06/37.36 (1) ~ c2_1(a1006)
% 268.06/37.36 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.06/37.36 c3_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.06/37.36 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 268.06/37.36 c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 268.06/37.36 (3) c3_1(a1006)
% 268.06/37.36 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.06/37.36 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.06/37.36 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 268.06/37.36 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 268.06/37.36 (5) ~ c0_1(a1032)
% 268.06/37.36 (6) $i(a1032)
% 268.06/37.36 (7) c2_1(a1044)
% 268.06/37.36 (8) c2_1(a1032)
% 268.06/37.36 (9) c3_1(a1032)
% 268.06/37.36 (10) ndr1_0
% 268.06/37.36 (11) $i(a1044)
% 268.06/37.36 (12) ~ c3_1(a1044)
% 268.06/37.36 (13) $i(a1006)
% 268.06/37.36 (14) c1_1(a1044)
% 268.06/37.36 (15) c0_1(a1006)
% 268.06/37.36
% 268.06/37.36 Begin of proof
% 268.06/37.36 |
% 268.06/37.36 | BETA: splitting (4) gives:
% 268.06/37.36 |
% 268.06/37.36 | Case 1:
% 268.06/37.36 | |
% 268.06/37.36 | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 268.06/37.36 | | ~ ndr1_0)
% 268.06/37.36 | |
% 268.06/37.36 | | BETA: splitting (2) gives:
% 268.06/37.36 | |
% 268.06/37.36 | | Case 1:
% 268.06/37.36 | | |
% 268.06/37.36 | | | (17) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.06/37.36 | | | c3_1(v0))
% 268.06/37.36 | | |
% 268.06/37.36 | | | GROUND_INST: instantiating (17) with a1044, simplifying with (7), (10),
% 268.06/37.36 | | | (11), (12), (14) gives:
% 268.06/37.36 | | | (18) $false
% 268.06/37.36 | | |
% 268.06/37.36 | | | CLOSE: (18) is inconsistent.
% 268.06/37.36 | | |
% 268.06/37.36 | | Case 2:
% 268.06/37.36 | | |
% 268.12/37.36 | | | (19) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.12/37.36 | | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0)
% 268.12/37.36 | | | | ~ ndr1_0 | c2_1(v0))
% 268.12/37.36 | | |
% 268.12/37.36 | | | BETA: splitting (19) gives:
% 268.12/37.36 | | |
% 268.12/37.36 | | | Case 1:
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 268.12/37.36 | | | | | c1_1(v0))
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | GROUND_INST: instantiating (20) with a1032, simplifying with (6), (8),
% 268.12/37.36 | | | | (9), (10) gives:
% 268.12/37.36 | | | | (21) c1_1(a1032)
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | GROUND_INST: instantiating (16) with a1032, simplifying with (6), (8),
% 268.12/37.36 | | | | (9), (10), (21) gives:
% 268.12/37.36 | | | | (22) $false
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | CLOSE: (22) is inconsistent.
% 268.12/37.36 | | | |
% 268.12/37.36 | | | Case 2:
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | (23) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~ ndr1_0
% 268.12/37.36 | | | | | c2_1(v0))
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | GROUND_INST: instantiating (23) with a1006, simplifying with (1), (3),
% 268.12/37.36 | | | | (10), (13), (15) gives:
% 268.12/37.36 | | | | (24) $false
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | CLOSE: (24) is inconsistent.
% 268.12/37.36 | | | |
% 268.12/37.36 | | | End of split
% 268.12/37.36 | | |
% 268.12/37.36 | | End of split
% 268.12/37.36 | |
% 268.12/37.36 | Case 2:
% 268.12/37.36 | |
% 268.12/37.36 | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 268.12/37.36 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 268.12/37.36 | | ~ ndr1_0 | c0_1(v0))
% 268.12/37.36 | |
% 268.12/37.36 | | BETA: splitting (25) gives:
% 268.12/37.36 | |
% 268.12/37.36 | | Case 1:
% 268.12/37.36 | | |
% 268.12/37.36 | | | (26) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 268.12/37.36 | | | c0_1(v0))
% 268.12/37.36 | | |
% 268.12/37.36 | | | BETA: splitting (2) gives:
% 268.12/37.36 | | |
% 268.12/37.36 | | | Case 1:
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 268.12/37.36 | | | | | c3_1(v0))
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | GROUND_INST: instantiating (27) with a1044, simplifying with (7), (10),
% 268.12/37.36 | | | | (11), (12), (14) gives:
% 268.12/37.36 | | | | (28) $false
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | CLOSE: (28) is inconsistent.
% 268.12/37.36 | | | |
% 268.12/37.36 | | | Case 2:
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | (29) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0
% 268.12/37.36 | | | | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 268.12/37.36 | | | | c0_1(v0) | ~ ndr1_0 | c2_1(v0))
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | BETA: splitting (29) gives:
% 268.12/37.36 | | | |
% 268.12/37.36 | | | | Case 1:
% 268.12/37.36 | | | | |
% 268.12/37.36 | | | | | (30) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.36 | | | | | ndr1_0 | c1_1(v0))
% 268.12/37.36 | | | | |
% 268.12/37.36 | | | | | GROUND_INST: instantiating (30) with a1032, simplifying with (6), (8),
% 268.12/37.36 | | | | | (9), (10) gives:
% 268.12/37.36 | | | | | (31) c1_1(a1032)
% 268.12/37.36 | | | | |
% 268.12/37.36 | | | | | GROUND_INST: instantiating (26) with a1032, simplifying with (5), (6),
% 268.12/37.36 | | | | | (9), (10), (31) gives:
% 268.12/37.36 | | | | | (32) $false
% 268.12/37.36 | | | | |
% 268.12/37.36 | | | | | CLOSE: (32) is inconsistent.
% 268.12/37.36 | | | | |
% 268.12/37.36 | | | | Case 2:
% 268.12/37.36 | | | | |
% 268.12/37.36 | | | | | (33) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.36 | | | | | ndr1_0 | c2_1(v0))
% 268.12/37.36 | | | | |
% 268.12/37.36 | | | | | GROUND_INST: instantiating (33) with a1006, simplifying with (1), (3),
% 268.12/37.36 | | | | | (10), (13), (15) gives:
% 268.12/37.36 | | | | | (34) $false
% 268.12/37.36 | | | | |
% 268.12/37.36 | | | | | CLOSE: (34) is inconsistent.
% 268.12/37.36 | | | | |
% 268.12/37.36 | | | | End of split
% 268.12/37.36 | | | |
% 268.12/37.36 | | | End of split
% 268.12/37.36 | | |
% 268.12/37.36 | | Case 2:
% 268.12/37.36 | | |
% 268.12/37.36 | | | (35) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.12/37.36 | | | c0_1(v0))
% 268.12/37.36 | | |
% 268.12/37.36 | | | GROUND_INST: instantiating (35) with a1032, simplifying with (5), (6),
% 268.12/37.36 | | | (8), (9), (10) gives:
% 268.12/37.36 | | | (36) $false
% 268.12/37.36 | | |
% 268.12/37.36 | | | CLOSE: (36) is inconsistent.
% 268.12/37.36 | | |
% 268.12/37.36 | | End of split
% 268.12/37.36 | |
% 268.12/37.36 | End of split
% 268.12/37.36 |
% 268.12/37.36 End of proof
% 268.12/37.36
% 268.12/37.36 Sub-proof #137 shows that the following formulas are inconsistent:
% 268.12/37.36 ----------------------------------------------------------------
% 268.12/37.36 (1) ~ c2_1(a1006)
% 268.12/37.36 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.12/37.36 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.36 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 268.12/37.36 | c1_1(v0) | c0_1(v0))
% 268.12/37.36 (3) c2_1(a1044)
% 268.12/37.36 (4) ~ c1_1(a1002)
% 268.12/37.36 (5) c2_1(a1002)
% 268.12/37.36 (6) ~ c3_1(a1008)
% 268.12/37.36 (7) $i(a1008)
% 268.12/37.36 (8) ~ c1_1(a1008)
% 268.12/37.36 (9) $i(a1002)
% 268.12/37.36 (10) c2_1(a1008)
% 268.12/37.36 (11) ndr1_0
% 268.12/37.36 (12) $i(a1044)
% 268.12/37.36 (13) $i(a1006)
% 268.12/37.36 (14) c0_1(a1002)
% 268.12/37.36 (15) c1_1(a1044)
% 268.12/37.36 (16) c0_1(a1044)
% 268.12/37.36 (17) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.36 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.36 ndr1_0 | c3_1(v0))
% 268.12/37.36 (18) c0_1(a1006)
% 268.12/37.36 (19) c1_1(a1006)
% 268.12/37.36
% 268.12/37.36 Begin of proof
% 268.12/37.36 |
% 268.12/37.36 | BETA: splitting (2) gives:
% 268.12/37.36 |
% 268.12/37.36 | Case 1:
% 268.12/37.36 | |
% 268.12/37.36 | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.12/37.36 | | c2_1(v0))
% 268.12/37.36 | |
% 268.12/37.36 | | GROUND_INST: instantiating (20) with a1006, simplifying with (1), (11),
% 268.12/37.36 | | (13), (18), (19) gives:
% 268.12/37.36 | | (21) $false
% 268.12/37.36 | |
% 268.12/37.36 | | CLOSE: (21) is inconsistent.
% 268.12/37.36 | |
% 268.12/37.36 | Case 2:
% 268.12/37.36 | |
% 268.12/37.36 | | (22) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.12/37.36 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.12/37.36 | | c1_1(v0) | c0_1(v0))
% 268.12/37.36 | |
% 268.12/37.36 | | BETA: splitting (22) gives:
% 268.12/37.36 | |
% 268.12/37.36 | | Case 1:
% 268.12/37.36 | | |
% 268.12/37.36 | | | (23) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.12/37.36 | | | c1_1(v0))
% 268.12/37.36 | | |
% 268.12/37.36 | | | GROUND_INST: instantiating (23) with a1002, simplifying with (4), (5),
% 268.12/37.36 | | | (9), (11), (14) gives:
% 268.12/37.36 | | | (24) $false
% 268.12/37.36 | | |
% 268.12/37.36 | | | CLOSE: (24) is inconsistent.
% 268.12/37.36 | | |
% 268.12/37.36 | | Case 2:
% 268.12/37.36 | | |
% 268.12/37.36 | | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 268.12/37.36 | | | c0_1(v0))
% 268.12/37.36 | | |
% 268.12/37.36 | | | GROUND_INST: instantiating (25) with a1008, simplifying with (7), (8),
% 268.12/37.36 | | | (10), (11) gives:
% 268.12/37.36 | | | (26) c0_1(a1008)
% 268.12/37.36 | | |
% 268.12/37.36 | | | REF_CLOSE: (3), (6), (7), (10), (11), (12), (15), (16), (17), (26) are
% 268.12/37.36 | | | inconsistent by sub-proof #145.
% 268.12/37.36 | | |
% 268.12/37.36 | | End of split
% 268.12/37.36 | |
% 268.12/37.36 | End of split
% 268.12/37.36 |
% 268.12/37.36 End of proof
% 268.12/37.36
% 268.12/37.36 Sub-proof #138 shows that the following formulas are inconsistent:
% 268.12/37.36 ----------------------------------------------------------------
% 268.12/37.36 (1) hskp2 | hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.12/37.36 c3_1(v0) | c0_1(v0))
% 268.12/37.36 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.36 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.12/37.36 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 268.12/37.36 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 268.12/37.36 (3) $i(a1019)
% 268.12/37.36 (4) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 268.12/37.36 (5) ~ hskp1
% 268.12/37.36 (6) ndr1_0
% 268.12/37.36 (7) ~ hskp2
% 268.12/37.36 (8) c2_1(a1019)
% 268.12/37.36 (9) c1_1(a1019)
% 268.12/37.36 (10) ~ c0_1(a1019)
% 268.12/37.36
% 268.12/37.36 Begin of proof
% 268.12/37.36 |
% 268.12/37.36 | BETA: splitting (1) gives:
% 268.12/37.36 |
% 268.12/37.36 | Case 1:
% 268.12/37.36 | |
% 268.12/37.36 | | (11) hskp2
% 268.12/37.36 | |
% 268.12/37.36 | | PRED_UNIFY: (7), (11) imply:
% 268.12/37.36 | | (12) $false
% 268.12/37.36 | |
% 268.12/37.36 | | CLOSE: (12) is inconsistent.
% 268.12/37.36 | |
% 268.12/37.36 | Case 2:
% 268.12/37.36 | |
% 268.12/37.36 | | (13) hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.12/37.36 | | c3_1(v0) | c0_1(v0))
% 268.12/37.36 | |
% 268.12/37.36 | | REF_CLOSE: (2), (3), (4), (5), (6), (8), (9), (10), (13) are inconsistent by
% 268.12/37.36 | | sub-proof #139.
% 268.12/37.36 | |
% 268.12/37.36 | End of split
% 268.12/37.36 |
% 268.12/37.36 End of proof
% 268.12/37.36
% 268.12/37.36 Sub-proof #139 shows that the following formulas are inconsistent:
% 268.12/37.36 ----------------------------------------------------------------
% 268.12/37.37 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.37 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.12/37.37 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 268.12/37.37 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 268.12/37.37 (2) $i(a1019)
% 268.12/37.37 (3) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 268.12/37.37 (4) ~ hskp1
% 268.12/37.37 (5) hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.12/37.37 c0_1(v0))
% 268.12/37.37 (6) ndr1_0
% 268.12/37.37 (7) c2_1(a1019)
% 268.12/37.37 (8) c1_1(a1019)
% 268.12/37.37 (9) ~ c0_1(a1019)
% 268.12/37.37
% 268.12/37.37 Begin of proof
% 268.12/37.37 |
% 268.12/37.37 | BETA: splitting (5) gives:
% 268.12/37.37 |
% 268.12/37.37 | Case 1:
% 268.12/37.37 | |
% 268.12/37.37 | | (10) hskp1
% 268.12/37.37 | |
% 268.12/37.37 | | PRED_UNIFY: (4), (10) imply:
% 268.12/37.37 | | (11) $false
% 268.12/37.37 | |
% 268.12/37.37 | | CLOSE: (11) is inconsistent.
% 268.12/37.37 | |
% 268.12/37.37 | Case 2:
% 268.12/37.37 | |
% 268.12/37.37 | | (12) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.12/37.37 | | c0_1(v0))
% 268.12/37.37 | |
% 268.12/37.37 | | REF_CLOSE: (1), (2), (3), (6), (7), (8), (9), (12) are inconsistent by
% 268.12/37.37 | | sub-proof #140.
% 268.12/37.37 | |
% 268.12/37.37 | End of split
% 268.12/37.37 |
% 268.12/37.37 End of proof
% 268.12/37.37
% 268.12/37.37 Sub-proof #140 shows that the following formulas are inconsistent:
% 268.12/37.37 ----------------------------------------------------------------
% 268.12/37.37 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.37 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.12/37.37 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 268.12/37.37 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 268.12/37.37 (2) $i(a1019)
% 268.12/37.37 (3) ~ hskp16 | (c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030))
% 268.12/37.37 (4) ndr1_0
% 268.12/37.37 (5) c2_1(a1019)
% 268.12/37.37 (6) c1_1(a1019)
% 268.12/37.37 (7) ~ c0_1(a1019)
% 268.12/37.37 (8) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 268.12/37.37
% 268.12/37.37 Begin of proof
% 268.12/37.37 |
% 268.12/37.37 | BETA: splitting (3) gives:
% 268.12/37.37 |
% 268.12/37.37 | Case 1:
% 268.12/37.37 | |
% 268.12/37.37 | |
% 268.12/37.37 | | GROUND_INST: instantiating (8) with a1019, simplifying with (2), (4), (5),
% 268.12/37.37 | | (7) gives:
% 268.12/37.37 | | (9) c3_1(a1019)
% 268.12/37.37 | |
% 268.12/37.37 | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (9) are inconsistent by sub-proof
% 268.12/37.37 | | #141.
% 268.12/37.37 | |
% 268.12/37.37 | Case 2:
% 268.12/37.37 | |
% 268.12/37.37 | | (10) c1_1(a1030) & ndr1_0 & ~ c3_1(a1030) & ~ c2_1(a1030)
% 268.12/37.37 | |
% 268.12/37.37 | | GROUND_INST: instantiating (8) with a1019, simplifying with (2), (4), (5),
% 268.12/37.37 | | (7) gives:
% 268.12/37.37 | | (11) c3_1(a1019)
% 268.12/37.37 | |
% 268.12/37.37 | | REF_CLOSE: (1), (2), (4), (5), (6), (7), (11) are inconsistent by sub-proof
% 268.12/37.37 | | #141.
% 268.12/37.37 | |
% 268.12/37.37 | End of split
% 268.12/37.37 |
% 268.12/37.37 End of proof
% 268.12/37.37
% 268.12/37.37 Sub-proof #141 shows that the following formulas are inconsistent:
% 268.12/37.37 ----------------------------------------------------------------
% 268.12/37.37 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.37 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.12/37.37 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 268.12/37.37 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 268.12/37.37 (2) $i(a1019)
% 268.12/37.37 (3) ndr1_0
% 268.12/37.37 (4) c3_1(a1019)
% 268.12/37.37 (5) c2_1(a1019)
% 268.12/37.37 (6) c1_1(a1019)
% 268.12/37.37 (7) ~ c0_1(a1019)
% 268.12/37.37
% 268.12/37.37 Begin of proof
% 268.12/37.37 |
% 268.12/37.37 | BETA: splitting (1) gives:
% 268.12/37.37 |
% 268.12/37.37 | Case 1:
% 268.12/37.37 | |
% 268.12/37.37 | | (8) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 268.12/37.37 | | ~ ndr1_0)
% 268.12/37.37 | |
% 268.12/37.37 | | GROUND_INST: instantiating (8) with a1019, simplifying with (2), (3), (4),
% 268.12/37.37 | | (5), (6) gives:
% 268.12/37.37 | | (9) $false
% 268.12/37.37 | |
% 268.12/37.37 | | CLOSE: (9) is inconsistent.
% 268.12/37.37 | |
% 268.12/37.37 | Case 2:
% 268.12/37.37 | |
% 268.12/37.37 | | (10) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 268.12/37.37 | | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 268.12/37.37 | | ~ ndr1_0 | c0_1(v0))
% 268.12/37.37 | |
% 268.12/37.37 | | BETA: splitting (10) gives:
% 268.12/37.37 | |
% 268.12/37.37 | | Case 1:
% 268.12/37.37 | | |
% 268.12/37.37 | | | (11) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 268.12/37.37 | | | c0_1(v0))
% 268.12/37.37 | | |
% 268.12/37.37 | | | GROUND_INST: instantiating (11) with a1019, simplifying with (2), (3),
% 268.12/37.37 | | | (4), (6), (7) gives:
% 268.12/37.37 | | | (12) $false
% 268.12/37.37 | | |
% 268.12/37.37 | | | CLOSE: (12) is inconsistent.
% 268.12/37.37 | | |
% 268.12/37.37 | | Case 2:
% 268.12/37.37 | | |
% 268.12/37.37 | | | (13) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.12/37.37 | | | c0_1(v0))
% 268.12/37.37 | | |
% 268.12/37.37 | | | GROUND_INST: instantiating (13) with a1019, simplifying with (2), (3),
% 268.12/37.37 | | | (4), (5), (7) gives:
% 268.12/37.37 | | | (14) $false
% 268.12/37.37 | | |
% 268.12/37.37 | | | CLOSE: (14) is inconsistent.
% 268.12/37.37 | | |
% 268.12/37.37 | | End of split
% 268.12/37.37 | |
% 268.12/37.37 | End of split
% 268.12/37.37 |
% 268.12/37.37 End of proof
% 268.12/37.37
% 268.12/37.37 Sub-proof #142 shows that the following formulas are inconsistent:
% 268.12/37.37 ----------------------------------------------------------------
% 268.12/37.37 (1) hskp2 | hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.12/37.37 c3_1(v0) | c0_1(v0))
% 268.12/37.37 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.12/37.37 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.37 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 268.12/37.37 | c1_1(v0) | c0_1(v0))
% 268.12/37.37 (3) c2_1(a1044)
% 268.12/37.37 (4) $i(a1011)
% 268.12/37.37 (5) c0_1(a1011)
% 268.12/37.37 (6) ~ c3_1(a1008)
% 268.12/37.37 (7) $i(a1008)
% 268.12/37.37 (8) ~ hskp2 | (c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~ c1_1(a1002))
% 268.12/37.37 (9) ~ c1_1(a1008)
% 268.12/37.37 (10) ~ hskp1
% 268.12/37.37 (11) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.37 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 268.12/37.37 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 268.12/37.37 (12) $i(a1002)
% 268.12/37.37 (13) c2_1(a1008)
% 268.12/37.37 (14) ndr1_0
% 268.12/37.37 (15) $i(a1044)
% 268.12/37.37 (16) ~ hskp17
% 268.12/37.37 (17) c1_1(a1011)
% 268.12/37.37 (18) c1_1(a1044)
% 268.12/37.37 (19) c0_1(a1044)
% 268.12/37.37 (20) ~ c2_1(a1011)
% 268.12/37.37
% 268.12/37.37 Begin of proof
% 268.12/37.37 |
% 268.12/37.37 | BETA: splitting (8) gives:
% 268.12/37.37 |
% 268.12/37.37 | Case 1:
% 268.12/37.37 | |
% 268.12/37.37 | | (21) ~ hskp2
% 268.12/37.37 | |
% 268.12/37.37 | | BETA: splitting (1) gives:
% 268.12/37.37 | |
% 268.12/37.37 | | Case 1:
% 268.12/37.37 | | |
% 268.12/37.37 | | | (22) hskp2
% 268.12/37.37 | | |
% 268.12/37.37 | | | PRED_UNIFY: (21), (22) imply:
% 268.12/37.37 | | | (23) $false
% 268.12/37.37 | | |
% 268.12/37.37 | | | CLOSE: (23) is inconsistent.
% 268.12/37.37 | | |
% 268.12/37.37 | | Case 2:
% 268.12/37.37 | | |
% 268.12/37.37 | | | (24) hskp1 | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.12/37.37 | | | c3_1(v0) | c0_1(v0))
% 268.12/37.37 | | |
% 268.12/37.37 | | | BETA: splitting (24) gives:
% 268.12/37.37 | | |
% 268.12/37.37 | | | Case 1:
% 268.12/37.37 | | | |
% 268.12/37.37 | | | | (25) hskp1
% 268.12/37.37 | | | |
% 268.12/37.37 | | | | PRED_UNIFY: (10), (25) imply:
% 268.12/37.37 | | | | (26) $false
% 268.12/37.37 | | | |
% 268.12/37.37 | | | | CLOSE: (26) is inconsistent.
% 268.12/37.37 | | | |
% 268.12/37.37 | | | Case 2:
% 268.12/37.37 | | | |
% 268.12/37.37 | | | | (27) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.12/37.37 | | | | c0_1(v0))
% 268.12/37.37 | | | |
% 268.12/37.37 | | | | GROUND_INST: instantiating (27) with a1008, simplifying with (6), (7),
% 268.12/37.37 | | | | (13), (14) gives:
% 268.12/37.37 | | | | (28) c0_1(a1008)
% 268.12/37.37 | | | |
% 268.12/37.37 | | | | REF_CLOSE: (3), (6), (7), (11), (13), (14), (15), (16), (18), (19), (28)
% 268.12/37.37 | | | | are inconsistent by sub-proof #144.
% 268.12/37.37 | | | |
% 268.12/37.37 | | | End of split
% 268.12/37.37 | | |
% 268.12/37.37 | | End of split
% 268.12/37.37 | |
% 268.12/37.37 | Case 2:
% 268.12/37.37 | |
% 268.12/37.37 | | (29) c2_1(a1002) & c0_1(a1002) & ndr1_0 & ~ c1_1(a1002)
% 268.12/37.37 | |
% 268.12/37.37 | | ALPHA: (29) implies:
% 268.12/37.37 | | (30) ~ c1_1(a1002)
% 268.12/37.37 | | (31) c0_1(a1002)
% 268.12/37.37 | | (32) c2_1(a1002)
% 268.12/37.37 | |
% 268.12/37.37 | | BETA: splitting (11) gives:
% 268.12/37.37 | |
% 268.12/37.37 | | Case 1:
% 268.12/37.37 | | |
% 268.12/37.37 | | | (33) hskp17
% 268.12/37.37 | | |
% 268.12/37.37 | | | PRED_UNIFY: (16), (33) imply:
% 268.12/37.37 | | | (34) $false
% 268.12/37.37 | | |
% 268.12/37.37 | | | CLOSE: (34) is inconsistent.
% 268.12/37.37 | | |
% 268.12/37.37 | | Case 2:
% 268.12/37.37 | | |
% 268.12/37.37 | | | (35) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0)
% 268.12/37.37 | | | | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 268.12/37.37 | | | c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 268.12/37.37 | | |
% 268.12/37.37 | | | REF_CLOSE: (2), (3), (4), (5), (6), (7), (9), (12), (13), (14), (15),
% 268.12/37.37 | | | (17), (18), (19), (20), (30), (31), (32), (35) are inconsistent
% 268.12/37.37 | | | by sub-proof #143.
% 268.12/37.37 | | |
% 268.12/37.37 | | End of split
% 268.12/37.37 | |
% 268.12/37.37 | End of split
% 268.12/37.37 |
% 268.12/37.37 End of proof
% 268.12/37.37
% 268.12/37.37 Sub-proof #143 shows that the following formulas are inconsistent:
% 268.12/37.37 ----------------------------------------------------------------
% 268.12/37.37 (1) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.12/37.37 c2_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.37 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0
% 268.12/37.37 | c1_1(v0) | c0_1(v0))
% 268.12/37.37 (2) c2_1(a1044)
% 268.12/37.37 (3) $i(a1011)
% 268.12/37.37 (4) ~ c1_1(a1002)
% 268.12/37.37 (5) c2_1(a1002)
% 268.12/37.37 (6) c0_1(a1011)
% 268.12/37.37 (7) ~ c3_1(a1008)
% 268.12/37.37 (8) $i(a1008)
% 268.12/37.37 (9) ~ c1_1(a1008)
% 268.12/37.37 (10) $i(a1002)
% 268.12/37.37 (11) c2_1(a1008)
% 268.12/37.37 (12) ndr1_0
% 268.12/37.37 (13) $i(a1044)
% 268.12/37.37 (14) c0_1(a1002)
% 268.12/37.37 (15) c1_1(a1011)
% 268.12/37.37 (16) c1_1(a1044)
% 268.12/37.37 (17) c0_1(a1044)
% 268.12/37.37 (18) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.37 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.37 ndr1_0 | c3_1(v0))
% 268.12/37.37 (19) ~ c2_1(a1011)
% 268.12/37.37
% 268.12/37.37 Begin of proof
% 268.12/37.37 |
% 268.12/37.37 | BETA: splitting (1) gives:
% 268.12/37.37 |
% 268.12/37.37 | Case 1:
% 268.12/37.37 | |
% 268.12/37.37 | | (20) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.12/37.37 | | c2_1(v0))
% 268.12/37.37 | |
% 268.12/37.37 | | GROUND_INST: instantiating (20) with a1011, simplifying with (3), (6), (12),
% 268.12/37.37 | | (15), (19) gives:
% 268.12/37.37 | | (21) $false
% 268.12/37.37 | |
% 268.12/37.37 | | CLOSE: (21) is inconsistent.
% 268.12/37.37 | |
% 268.12/37.37 | Case 2:
% 268.12/37.37 | |
% 268.12/37.37 | | (22) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.12/37.37 | | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.12/37.37 | | c1_1(v0) | c0_1(v0))
% 268.12/37.37 | |
% 268.12/37.37 | | BETA: splitting (22) gives:
% 268.12/37.37 | |
% 268.12/37.37 | | Case 1:
% 268.12/37.37 | | |
% 268.12/37.37 | | | (23) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.12/37.37 | | | c1_1(v0))
% 268.12/37.37 | | |
% 268.12/37.37 | | | GROUND_INST: instantiating (23) with a1002, simplifying with (4), (5),
% 268.12/37.37 | | | (10), (12), (14) gives:
% 268.12/37.37 | | | (24) $false
% 268.12/37.37 | | |
% 268.12/37.37 | | | CLOSE: (24) is inconsistent.
% 268.12/37.37 | | |
% 268.12/37.37 | | Case 2:
% 268.12/37.37 | | |
% 268.12/37.37 | | | (25) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ ndr1_0 | c1_1(v0) |
% 268.12/37.37 | | | c0_1(v0))
% 268.12/37.37 | | |
% 268.12/37.37 | | | GROUND_INST: instantiating (25) with a1008, simplifying with (8), (9),
% 268.12/37.37 | | | (11), (12) gives:
% 268.12/37.37 | | | (26) c0_1(a1008)
% 268.12/37.37 | | |
% 268.12/37.37 | | | REF_CLOSE: (2), (7), (8), (11), (12), (13), (16), (17), (18), (26) are
% 268.12/37.37 | | | inconsistent by sub-proof #145.
% 268.12/37.37 | | |
% 268.12/37.37 | | End of split
% 268.12/37.37 | |
% 268.12/37.37 | End of split
% 268.12/37.37 |
% 268.12/37.37 End of proof
% 268.12/37.37
% 268.12/37.37 Sub-proof #144 shows that the following formulas are inconsistent:
% 268.12/37.37 ----------------------------------------------------------------
% 268.12/37.37 (1) c2_1(a1044)
% 268.12/37.37 (2) ~ c3_1(a1008)
% 268.12/37.38 (3) $i(a1008)
% 268.12/37.38 (4) c0_1(a1008)
% 268.12/37.38 (5) hskp17 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.38 c0_1(v0) | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 268.12/37.38 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 268.12/37.38 (6) c2_1(a1008)
% 268.12/37.38 (7) ndr1_0
% 268.12/37.38 (8) $i(a1044)
% 268.12/37.38 (9) ~ hskp17
% 268.12/37.38 (10) c1_1(a1044)
% 268.12/37.38 (11) c0_1(a1044)
% 268.12/37.38
% 268.12/37.38 Begin of proof
% 268.12/37.38 |
% 268.12/37.38 | BETA: splitting (5) gives:
% 268.12/37.38 |
% 268.12/37.38 | Case 1:
% 268.12/37.38 | |
% 268.12/37.38 | | (12) hskp17
% 268.12/37.38 | |
% 268.12/37.38 | | PRED_UNIFY: (9), (12) imply:
% 268.12/37.38 | | (13) $false
% 268.12/37.38 | |
% 268.12/37.38 | | CLOSE: (13) is inconsistent.
% 268.12/37.38 | |
% 268.12/37.38 | Case 2:
% 268.12/37.38 | |
% 268.12/37.38 | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 268.12/37.38 | | ~ ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0)
% 268.12/37.38 | | | ~ ndr1_0 | c3_1(v0))
% 268.12/37.38 | |
% 268.12/37.38 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (10), (11), (14) are
% 268.12/37.38 | | inconsistent by sub-proof #145.
% 268.12/37.38 | |
% 268.12/37.38 | End of split
% 268.12/37.38 |
% 268.12/37.38 End of proof
% 268.12/37.38
% 268.12/37.38 Sub-proof #145 shows that the following formulas are inconsistent:
% 268.12/37.38 ----------------------------------------------------------------
% 268.12/37.38 (1) c2_1(a1044)
% 268.12/37.38 (2) ~ c3_1(a1008)
% 268.12/37.38 (3) $i(a1008)
% 268.12/37.38 (4) c0_1(a1008)
% 268.12/37.38 (5) c2_1(a1008)
% 268.12/37.38 (6) ndr1_0
% 268.12/37.38 (7) $i(a1044)
% 268.12/37.38 (8) c1_1(a1044)
% 268.12/37.38 (9) c0_1(a1044)
% 268.12/37.38 (10) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.38 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.38 ndr1_0 | c3_1(v0))
% 268.12/37.38
% 268.12/37.38 Begin of proof
% 268.12/37.38 |
% 268.12/37.38 | BETA: splitting (10) gives:
% 268.12/37.38 |
% 268.12/37.38 | Case 1:
% 268.12/37.38 | |
% 268.12/37.38 | | (11) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 268.12/37.38 | | ~ ndr1_0)
% 268.12/37.38 | |
% 268.12/37.38 | | GROUND_INST: instantiating (11) with a1044, simplifying with (1), (6), (7),
% 268.12/37.38 | | (8), (9) gives:
% 268.12/37.38 | | (12) $false
% 268.12/37.38 | |
% 268.12/37.38 | | CLOSE: (12) is inconsistent.
% 268.12/37.38 | |
% 268.12/37.38 | Case 2:
% 268.12/37.38 | |
% 268.12/37.38 | | (13) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 |
% 268.12/37.38 | | c3_1(v0))
% 268.12/37.38 | |
% 268.12/37.38 | | GROUND_INST: instantiating (13) with a1008, simplifying with (2), (3), (4),
% 268.12/37.38 | | (5), (6) gives:
% 268.12/37.38 | | (14) $false
% 268.12/37.38 | |
% 268.12/37.38 | | CLOSE: (14) is inconsistent.
% 268.12/37.38 | |
% 268.12/37.38 | End of split
% 268.12/37.38 |
% 268.12/37.38 End of proof
% 268.12/37.38
% 268.12/37.38 Sub-proof #146 shows that the following formulas are inconsistent:
% 268.12/37.38 ----------------------------------------------------------------
% 268.12/37.38 (1) $i(a1029)
% 268.12/37.38 (2) c3_1(a1029)
% 268.12/37.38 (3) ~ hskp24
% 268.12/37.38 (4) c0_1(a1029)
% 268.12/37.38 (5) ndr1_0
% 268.12/37.38 (6) ~ hskp3
% 268.12/37.38 (7) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 268.12/37.38 ~ c0_1(v0) | ~ ndr1_0)
% 268.12/37.38 (8) c2_1(a1029)
% 268.12/37.38
% 268.12/37.38 Begin of proof
% 268.12/37.38 |
% 268.12/37.38 | BETA: splitting (7) gives:
% 268.12/37.38 |
% 268.12/37.38 | Case 1:
% 268.12/37.38 | |
% 268.12/37.38 | | (9) hskp3
% 268.12/37.38 | |
% 268.12/37.38 | | PRED_UNIFY: (6), (9) imply:
% 268.12/37.38 | | (10) $false
% 268.12/37.38 | |
% 268.12/37.38 | | CLOSE: (10) is inconsistent.
% 268.12/37.38 | |
% 268.12/37.38 | Case 2:
% 268.12/37.38 | |
% 268.12/37.38 | | (11) hskp24 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.38 | | c0_1(v0) | ~ ndr1_0)
% 268.12/37.38 | |
% 268.12/37.38 | | REF_CLOSE: (1), (2), (3), (4), (5), (8), (11) are inconsistent by sub-proof
% 268.12/37.38 | | #147.
% 268.12/37.38 | |
% 268.12/37.38 | End of split
% 268.12/37.38 |
% 268.12/37.38 End of proof
% 268.12/37.38
% 268.12/37.38 Sub-proof #147 shows that the following formulas are inconsistent:
% 268.12/37.38 ----------------------------------------------------------------
% 268.12/37.38 (1) $i(a1029)
% 268.12/37.38 (2) c3_1(a1029)
% 268.12/37.38 (3) ~ hskp24
% 268.12/37.38 (4) c0_1(a1029)
% 268.12/37.38 (5) ndr1_0
% 268.12/37.38 (6) hskp24 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.38 c0_1(v0) | ~ ndr1_0)
% 268.12/37.38 (7) c2_1(a1029)
% 268.12/37.38
% 268.12/37.38 Begin of proof
% 268.12/37.38 |
% 268.12/37.38 | BETA: splitting (6) gives:
% 268.12/37.38 |
% 268.12/37.38 | Case 1:
% 268.12/37.38 | |
% 268.12/37.38 | | (8) hskp24
% 268.12/37.38 | |
% 268.12/37.38 | | PRED_UNIFY: (3), (8) imply:
% 268.12/37.38 | | (9) $false
% 268.12/37.38 | |
% 268.12/37.38 | | CLOSE: (9) is inconsistent.
% 268.12/37.38 | |
% 268.12/37.38 | Case 2:
% 268.12/37.38 | |
% 268.12/37.38 | | (10) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 268.12/37.38 | | ~ ndr1_0)
% 268.12/37.38 | |
% 268.12/37.38 | | GROUND_INST: instantiating (10) with a1029, simplifying with (1), (2), (4),
% 268.12/37.38 | | (5), (7) gives:
% 268.12/37.38 | | (11) $false
% 268.12/37.38 | |
% 268.12/37.38 | | CLOSE: (11) is inconsistent.
% 268.12/37.38 | |
% 268.12/37.38 | End of split
% 268.12/37.38 |
% 268.12/37.38 End of proof
% 268.12/37.38
% 268.12/37.38 Sub-proof #148 shows that the following formulas are inconsistent:
% 268.12/37.38 ----------------------------------------------------------------
% 268.12/37.38 (1) $i(a1045)
% 268.12/37.38 (2) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.38 ndr1_0) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.12/37.38 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~
% 268.12/37.38 c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 268.12/37.38 (3) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 268.12/37.38 ~ c0_1(v0) | ~ ndr1_0)
% 268.12/37.38 (4) $i(a1019)
% 268.12/37.38 (5) ~ hskp6
% 268.12/37.38 (6) ~ hskp9
% 268.12/37.38 (7) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 268.12/37.38 (8) $i(a1025)
% 268.12/37.38 (9) $i(a1029)
% 268.12/37.38 (10) c2_1(a1044)
% 268.12/37.38 (11) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 268.12/37.38 (12) ~ hskp3
% 268.12/37.38 (13) ~ hskp12 | (c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019))
% 268.12/37.38 (14) ~ hskp24 | (c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045))
% 268.12/37.38 (15) $i(a1044)
% 268.12/37.38 (16) ~ c3_1(a1044)
% 268.12/37.38 (17) hskp27 | hskp14 | hskp6
% 268.12/37.38 (18) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 268.12/37.38 ~ c0_1(v0) | ~ ndr1_0)
% 268.12/37.38 (19) c1_1(a1044)
% 268.12/37.38 (20) hskp11 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.12/37.38 ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~
% 268.12/37.38 ndr1_0 | c3_1(v0) | c0_1(v0))
% 268.12/37.38 (21) c0_1(a1044)
% 268.12/37.38 (22) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.12/37.38 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.38 ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~
% 268.12/37.38 c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 268.12/37.38 (23) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.12/37.38 c2_1(v0))
% 268.12/37.38 (24) ~ hskp11
% 268.12/37.38
% 268.12/37.38 Begin of proof
% 268.12/37.38 |
% 268.12/37.38 | BETA: splitting (14) gives:
% 268.12/37.38 |
% 268.12/37.38 | Case 1:
% 268.12/37.38 | |
% 268.12/37.38 | | (25) ~ hskp24
% 268.12/37.38 | |
% 268.12/37.38 | | REF_CLOSE: (5), (7), (8), (9), (11), (12), (17), (18), (23), (25) are
% 268.12/37.38 | | inconsistent by sub-proof #152.
% 268.12/37.38 | |
% 268.12/37.38 | Case 2:
% 268.12/37.38 | |
% 268.12/37.38 | | (26) c1_1(a1045) & c3_1(a1045) & ndr1_0 & ~ c0_1(a1045)
% 268.12/37.38 | |
% 268.12/37.38 | | ALPHA: (26) implies:
% 268.12/37.38 | | (27) ~ c0_1(a1045)
% 268.12/37.38 | | (28) ndr1_0
% 268.12/37.38 | | (29) c3_1(a1045)
% 268.12/37.38 | | (30) c1_1(a1045)
% 268.12/37.38 | |
% 268.12/37.38 | | BETA: splitting (13) gives:
% 268.12/37.38 | |
% 268.12/37.38 | | Case 1:
% 268.12/37.38 | | |
% 268.12/37.38 | | | (31) ~ hskp12
% 268.12/37.38 | | |
% 268.12/37.38 | | | REF_CLOSE: (3), (6), (10), (15), (19), (21), (28), (31) are inconsistent
% 268.12/37.38 | | | by sub-proof #150.
% 268.12/37.38 | | |
% 268.12/37.38 | | Case 2:
% 268.12/37.38 | | |
% 268.12/37.38 | | | (32) c1_1(a1019) & c2_1(a1019) & ndr1_0 & ~ c0_1(a1019)
% 268.12/37.38 | | |
% 268.12/37.38 | | | ALPHA: (32) implies:
% 268.12/37.38 | | | (33) ~ c0_1(a1019)
% 268.12/37.38 | | | (34) c2_1(a1019)
% 268.12/37.38 | | | (35) c1_1(a1019)
% 268.12/37.38 | | |
% 268.12/37.38 | | | BETA: splitting (11) gives:
% 268.12/37.38 | | |
% 268.12/37.38 | | | Case 1:
% 268.12/37.38 | | | |
% 268.12/37.38 | | | | (36) ~ hskp27
% 268.12/37.38 | | | |
% 268.12/37.38 | | | | REF_CLOSE: (5), (7), (8), (17), (23), (36) are inconsistent by sub-proof
% 268.12/37.38 | | | | #153.
% 268.12/37.38 | | | |
% 268.12/37.38 | | | Case 2:
% 268.12/37.38 | | | |
% 268.12/37.38 | | | | (37) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 268.12/37.38 | | | |
% 268.12/37.38 | | | | ALPHA: (37) implies:
% 268.12/37.38 | | | | (38) c0_1(a1029)
% 268.12/37.38 | | | | (39) c2_1(a1029)
% 268.12/37.38 | | | | (40) c3_1(a1029)
% 268.12/37.38 | | | |
% 268.12/37.38 | | | | BETA: splitting (20) gives:
% 268.12/37.38 | | | |
% 268.12/37.38 | | | | Case 1:
% 268.12/37.38 | | | | |
% 268.12/37.38 | | | | | (41) hskp11
% 268.12/37.38 | | | | |
% 268.12/37.38 | | | | | PRED_UNIFY: (24), (41) imply:
% 268.12/37.38 | | | | | (42) $false
% 268.12/37.38 | | | | |
% 268.12/37.38 | | | | | CLOSE: (42) is inconsistent.
% 268.12/37.38 | | | | |
% 268.12/37.38 | | | | Case 2:
% 268.12/37.38 | | | | |
% 268.12/37.38 | | | | | (43) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.12/37.38 | | | | | ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0)
% 268.12/37.38 | | | | | | ~ ndr1_0 | c3_1(v0) | c0_1(v0))
% 268.12/37.38 | | | | |
% 268.12/37.38 | | | | | BETA: splitting (2) gives:
% 268.12/37.38 | | | | |
% 268.12/37.38 | | | | | Case 1:
% 268.12/37.38 | | | | | |
% 268.12/37.38 | | | | | | (44) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.12/37.38 | | | | | | c2_1(v0) | ~ ndr1_0)
% 268.12/37.38 | | | | | |
% 268.12/37.38 | | | | | | BETA: splitting (22) gives:
% 268.12/37.38 | | | | | |
% 268.12/37.38 | | | | | | Case 1:
% 268.12/37.38 | | | | | | |
% 268.12/37.38 | | | | | | | (45) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 268.12/37.38 | | | | | | | c3_1(v0) | c0_1(v0))
% 268.12/37.38 | | | | | | |
% 268.12/37.38 | | | | | | | GROUND_INST: instantiating (45) with a1019, simplifying with (4),
% 268.12/37.38 | | | | | | | (28), (33), (35) gives:
% 268.12/37.38 | | | | | | | (46) c3_1(a1019)
% 268.12/37.38 | | | | | | |
% 268.12/37.38 | | | | | | | GROUND_INST: instantiating (44) with a1019, simplifying with (4),
% 268.12/37.38 | | | | | | | (28), (34), (35), (46) gives:
% 268.12/37.38 | | | | | | | (47) $false
% 268.12/37.38 | | | | | | |
% 268.12/37.38 | | | | | | | CLOSE: (47) is inconsistent.
% 268.12/37.38 | | | | | | |
% 268.12/37.38 | | | | | | Case 2:
% 268.12/37.38 | | | | | | |
% 268.12/37.38 | | | | | | | (48) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) | ~
% 268.12/37.38 | | | | | | | ndr1_0 | c1_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 268.12/37.38 | | | | | | | c2_1(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0))
% 268.12/37.38 | | | | | | |
% 268.12/37.38 | | | | | | | BETA: splitting (48) gives:
% 268.12/37.38 | | | | | | |
% 268.12/37.38 | | | | | | | Case 1:
% 268.12/37.38 | | | | | | | |
% 268.12/37.38 | | | | | | | | (49) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c0_1(v0) |
% 268.12/37.38 | | | | | | | | ~ ndr1_0 | c1_1(v0))
% 268.12/37.38 | | | | | | | |
% 268.12/37.38 | | | | | | | | GROUND_INST: instantiating (49) with a1029, simplifying with
% 268.12/37.38 | | | | | | | | (9), (28), (38), (40) gives:
% 268.12/37.38 | | | | | | | | (50) c1_1(a1029)
% 268.12/37.38 | | | | | | | |
% 268.12/37.38 | | | | | | | | GROUND_INST: instantiating (44) with a1029, simplifying with
% 268.12/37.38 | | | | | | | | (9), (28), (39), (40), (50) gives:
% 268.12/37.38 | | | | | | | | (51) $false
% 268.12/37.38 | | | | | | | |
% 268.12/37.38 | | | | | | | | CLOSE: (51) is inconsistent.
% 268.12/37.38 | | | | | | | |
% 268.12/37.38 | | | | | | | Case 2:
% 268.12/37.38 | | | | | | | |
% 268.12/37.38 | | | | | | | | (52) ! [v0: $i] : ( ~ $i(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 268.12/37.38 | | | | | | | | ~ ndr1_0 | c3_1(v0))
% 268.12/37.38 | | | | | | | |
% 268.12/37.38 | | | | | | | | GROUND_INST: instantiating (52) with a1044, simplifying with
% 268.12/37.38 | | | | | | | | (10), (15), (16), (21), (28) gives:
% 268.12/37.38 | | | | | | | | (53) $false
% 268.12/37.38 | | | | | | | |
% 268.12/37.38 | | | | | | | | CLOSE: (53) is inconsistent.
% 268.12/37.38 | | | | | | | |
% 268.12/37.38 | | | | | | | End of split
% 268.12/37.38 | | | | | | |
% 268.12/37.38 | | | | | | End of split
% 268.12/37.38 | | | | | |
% 268.12/37.38 | | | | | Case 2:
% 268.12/37.38 | | | | | |
% 268.12/37.38 | | | | | | (54) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.12/37.38 | | | | | | ndr1_0 | c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~
% 268.12/37.38 | | | | | | c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 | c0_1(v0))
% 268.12/37.38 | | | | | |
% 268.12/37.38 | | | | | | BETA: splitting (54) gives:
% 268.12/37.38 | | | | | |
% 268.12/37.38 | | | | | | Case 1:
% 268.12/37.38 | | | | | | |
% 268.12/37.38 | | | | | | | (55) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~
% 268.12/37.38 | | | | | | | ndr1_0 | c0_1(v0))
% 268.12/37.38 | | | | | | |
% 268.12/37.38 | | | | | | | GROUND_INST: instantiating (55) with a1045, simplifying with (1),
% 268.12/37.38 | | | | | | | (27), (28), (29), (30) gives:
% 268.12/37.39 | | | | | | | (56) $false
% 268.12/37.39 | | | | | | |
% 268.12/37.39 | | | | | | | CLOSE: (56) is inconsistent.
% 268.12/37.39 | | | | | | |
% 268.12/37.39 | | | | | | Case 2:
% 268.12/37.39 | | | | | | |
% 268.12/37.39 | | | | | | | (57) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.39 | | | | | | | ndr1_0 | c0_1(v0))
% 268.12/37.39 | | | | | | |
% 268.12/37.39 | | | | | | | REF_CLOSE: (1), (4), (27), (28), (29), (30), (33), (34), (35),
% 268.12/37.39 | | | | | | | (43), (57) are inconsistent by sub-proof #149.
% 268.12/37.39 | | | | | | |
% 268.12/37.39 | | | | | | End of split
% 268.12/37.39 | | | | | |
% 268.12/37.39 | | | | | End of split
% 268.12/37.39 | | | | |
% 268.12/37.39 | | | | End of split
% 268.12/37.39 | | | |
% 268.12/37.39 | | | End of split
% 268.12/37.39 | | |
% 268.12/37.39 | | End of split
% 268.12/37.39 | |
% 268.12/37.39 | End of split
% 268.12/37.39 |
% 268.12/37.39 End of proof
% 268.12/37.39
% 268.12/37.39 Sub-proof #149 shows that the following formulas are inconsistent:
% 268.12/37.39 ----------------------------------------------------------------
% 268.12/37.39 (1) $i(a1045)
% 268.12/37.39 (2) $i(a1019)
% 268.12/37.39 (3) c1_1(a1045)
% 268.12/37.39 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ ndr1_0 |
% 268.12/37.39 c0_1(v0))
% 268.12/37.39 (5) c3_1(a1045)
% 268.12/37.39 (6) ndr1_0
% 268.12/37.39 (7) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 268.12/37.39 c0_1(v0)) | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 |
% 268.12/37.39 c3_1(v0) | c0_1(v0))
% 268.12/37.39 (8) c2_1(a1019)
% 268.12/37.39 (9) c1_1(a1019)
% 268.12/37.39 (10) ~ c0_1(a1019)
% 268.12/37.39 (11) ~ c0_1(a1045)
% 268.12/37.39
% 268.12/37.39 Begin of proof
% 268.12/37.39 |
% 268.12/37.39 | BETA: splitting (7) gives:
% 268.12/37.39 |
% 268.12/37.39 | Case 1:
% 268.12/37.39 | |
% 268.12/37.39 | | (12) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c3_1(v0) | ~ ndr1_0 |
% 268.12/37.39 | | c0_1(v0))
% 268.12/37.39 | |
% 268.12/37.39 | | GROUND_INST: instantiating (12) with a1045, simplifying with (1), (3), (5),
% 268.12/37.39 | | (6), (11) gives:
% 268.12/37.39 | | (13) $false
% 268.12/37.39 | |
% 268.12/37.39 | | CLOSE: (13) is inconsistent.
% 268.12/37.39 | |
% 268.12/37.39 | Case 2:
% 268.12/37.39 | |
% 268.12/37.39 | | (14) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.12/37.39 | | c0_1(v0))
% 268.12/37.39 | |
% 268.12/37.39 | | GROUND_INST: instantiating (14) with a1019, simplifying with (2), (6), (9),
% 268.12/37.39 | | (10) gives:
% 268.12/37.39 | | (15) c3_1(a1019)
% 268.12/37.39 | |
% 268.12/37.39 | | GROUND_INST: instantiating (4) with a1019, simplifying with (2), (6), (8),
% 268.12/37.39 | | (10), (15) gives:
% 268.12/37.39 | | (16) $false
% 268.12/37.39 | |
% 268.12/37.39 | | CLOSE: (16) is inconsistent.
% 268.12/37.39 | |
% 268.12/37.39 | End of split
% 268.12/37.39 |
% 268.12/37.39 End of proof
% 268.12/37.39
% 268.12/37.39 Sub-proof #150 shows that the following formulas are inconsistent:
% 268.12/37.39 ----------------------------------------------------------------
% 268.12/37.39 (1) hskp12 | hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) |
% 268.12/37.39 ~ c0_1(v0) | ~ ndr1_0)
% 268.12/37.39 (2) ~ hskp9
% 268.12/37.39 (3) ~ hskp12
% 268.12/37.39 (4) c2_1(a1044)
% 268.12/37.39 (5) ndr1_0
% 268.12/37.39 (6) $i(a1044)
% 268.12/37.39 (7) c1_1(a1044)
% 268.12/37.39 (8) c0_1(a1044)
% 268.12/37.39
% 268.12/37.39 Begin of proof
% 268.12/37.39 |
% 268.12/37.39 | BETA: splitting (1) gives:
% 268.12/37.39 |
% 268.12/37.39 | Case 1:
% 268.12/37.39 | |
% 268.12/37.39 | | (9) hskp12
% 268.12/37.39 | |
% 268.12/37.39 | | PRED_UNIFY: (3), (9) imply:
% 268.12/37.39 | | (10) $false
% 268.12/37.39 | |
% 268.12/37.39 | | CLOSE: (10) is inconsistent.
% 268.12/37.39 | |
% 268.12/37.39 | Case 2:
% 268.12/37.39 | |
% 268.12/37.39 | | (11) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.39 | | c0_1(v0) | ~ ndr1_0)
% 268.12/37.39 | |
% 268.12/37.39 | | REF_CLOSE: (2), (4), (5), (6), (7), (8), (11) are inconsistent by sub-proof
% 268.12/37.39 | | #151.
% 268.12/37.39 | |
% 268.12/37.39 | End of split
% 268.12/37.39 |
% 268.12/37.39 End of proof
% 268.12/37.39
% 268.12/37.39 Sub-proof #151 shows that the following formulas are inconsistent:
% 268.12/37.39 ----------------------------------------------------------------
% 268.12/37.39 (1) ~ hskp9
% 268.12/37.39 (2) c2_1(a1044)
% 268.12/37.39 (3) hskp9 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.39 c0_1(v0) | ~ ndr1_0)
% 268.12/37.39 (4) ndr1_0
% 268.12/37.39 (5) $i(a1044)
% 268.12/37.39 (6) c1_1(a1044)
% 268.12/37.39 (7) c0_1(a1044)
% 268.12/37.39
% 268.12/37.39 Begin of proof
% 268.12/37.39 |
% 268.12/37.39 | BETA: splitting (3) gives:
% 268.12/37.39 |
% 268.12/37.39 | Case 1:
% 268.12/37.39 | |
% 268.12/37.39 | | (8) hskp9
% 268.12/37.39 | |
% 268.12/37.39 | | PRED_UNIFY: (1), (8) imply:
% 268.12/37.39 | | (9) $false
% 268.12/37.39 | |
% 268.12/37.39 | | CLOSE: (9) is inconsistent.
% 268.12/37.39 | |
% 268.12/37.39 | Case 2:
% 268.12/37.39 | |
% 268.12/37.39 | | (10) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 268.12/37.39 | | ~ ndr1_0)
% 268.12/37.39 | |
% 268.12/37.39 | | GROUND_INST: instantiating (10) with a1044, simplifying with (2), (4), (5),
% 268.12/37.39 | | (6), (7) gives:
% 268.12/37.39 | | (11) $false
% 268.12/37.39 | |
% 268.12/37.39 | | CLOSE: (11) is inconsistent.
% 268.12/37.39 | |
% 268.12/37.39 | End of split
% 268.12/37.39 |
% 268.12/37.39 End of proof
% 268.12/37.39
% 268.12/37.39 Sub-proof #152 shows that the following formulas are inconsistent:
% 268.12/37.39 ----------------------------------------------------------------
% 268.12/37.39 (1) ~ hskp6
% 268.12/37.39 (2) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 268.12/37.39 (3) $i(a1025)
% 268.12/37.39 (4) $i(a1029)
% 268.12/37.39 (5) ~ hskp24
% 268.12/37.39 (6) ~ hskp27 | (c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0)
% 268.12/37.39 (7) ~ hskp3
% 268.12/37.39 (8) hskp27 | hskp14 | hskp6
% 268.12/37.39 (9) hskp24 | hskp3 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) |
% 268.12/37.39 ~ c0_1(v0) | ~ ndr1_0)
% 268.12/37.39 (10) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) |
% 268.12/37.39 c2_1(v0))
% 268.12/37.39
% 268.12/37.39 Begin of proof
% 268.12/37.39 |
% 268.12/37.39 | BETA: splitting (9) gives:
% 268.12/37.39 |
% 268.12/37.39 | Case 1:
% 268.12/37.39 | |
% 268.12/37.39 | | (11) hskp3
% 268.12/37.39 | |
% 268.12/37.39 | | PRED_UNIFY: (7), (11) imply:
% 268.12/37.39 | | (12) $false
% 268.12/37.39 | |
% 268.12/37.39 | | CLOSE: (12) is inconsistent.
% 268.12/37.39 | |
% 268.12/37.39 | Case 2:
% 268.12/37.39 | |
% 268.12/37.39 | | (13) hskp24 | ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.39 | | c0_1(v0) | ~ ndr1_0)
% 268.12/37.39 | |
% 268.12/37.39 | | BETA: splitting (13) gives:
% 268.12/37.39 | |
% 268.12/37.39 | | Case 1:
% 268.12/37.39 | | |
% 268.12/37.39 | | | (14) hskp24
% 268.12/37.39 | | |
% 268.12/37.39 | | | PRED_UNIFY: (5), (14) imply:
% 268.12/37.39 | | | (15) $false
% 268.12/37.39 | | |
% 268.12/37.39 | | | CLOSE: (15) is inconsistent.
% 268.12/37.39 | | |
% 268.12/37.39 | | Case 2:
% 268.12/37.39 | | |
% 268.12/37.39 | | | (16) ! [v0: $i] : ( ~ $i(v0) | ~ c3_1(v0) | ~ c2_1(v0) | ~ c0_1(v0)
% 268.12/37.39 | | | | ~ ndr1_0)
% 268.12/37.39 | | |
% 268.12/37.39 | | | BETA: splitting (6) gives:
% 268.12/37.39 | | |
% 268.12/37.39 | | | Case 1:
% 268.12/37.39 | | | |
% 268.12/37.39 | | | | (17) ~ hskp27
% 268.12/37.39 | | | |
% 268.12/37.39 | | | | REF_CLOSE: (1), (2), (3), (8), (10), (17) are inconsistent by sub-proof
% 268.12/37.39 | | | | #153.
% 268.12/37.39 | | | |
% 268.12/37.39 | | | Case 2:
% 268.12/37.39 | | | |
% 268.12/37.39 | | | | (18) c3_1(a1029) & c2_1(a1029) & c0_1(a1029) & ndr1_0
% 268.12/37.39 | | | |
% 268.12/37.39 | | | | ALPHA: (18) implies:
% 268.12/37.39 | | | | (19) ndr1_0
% 268.12/37.39 | | | | (20) c0_1(a1029)
% 268.12/37.39 | | | | (21) c2_1(a1029)
% 268.12/37.39 | | | | (22) c3_1(a1029)
% 268.12/37.39 | | | |
% 268.12/37.39 | | | | GROUND_INST: instantiating (16) with a1029, simplifying with (4), (19),
% 268.12/37.39 | | | | (20), (21), (22) gives:
% 268.12/37.39 | | | | (23) $false
% 268.12/37.39 | | | |
% 268.12/37.39 | | | | CLOSE: (23) is inconsistent.
% 268.12/37.39 | | | |
% 268.12/37.39 | | | End of split
% 268.12/37.39 | | |
% 268.12/37.39 | | End of split
% 268.12/37.39 | |
% 268.12/37.39 | End of split
% 268.12/37.39 |
% 268.12/37.39 End of proof
% 268.12/37.39
% 268.12/37.39 Sub-proof #153 shows that the following formulas are inconsistent:
% 268.12/37.39 ----------------------------------------------------------------
% 268.12/37.39 (1) ~ hskp6
% 268.12/37.39 (2) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 268.12/37.39 (3) $i(a1025)
% 268.12/37.39 (4) ~ hskp27
% 268.12/37.39 (5) hskp27 | hskp14 | hskp6
% 268.12/37.39 (6) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))
% 268.12/37.39
% 268.12/37.39 Begin of proof
% 268.12/37.39 |
% 268.12/37.39 | BETA: splitting (5) gives:
% 268.12/37.39 |
% 268.12/37.39 | Case 1:
% 268.12/37.39 | |
% 268.12/37.39 | | (7) hskp6
% 268.12/37.39 | |
% 268.12/37.39 | | PRED_UNIFY: (1), (7) imply:
% 268.12/37.39 | | (8) $false
% 268.12/37.39 | |
% 268.12/37.39 | | CLOSE: (8) is inconsistent.
% 268.12/37.39 | |
% 268.12/37.39 | Case 2:
% 268.12/37.39 | |
% 268.12/37.39 | | (9) hskp27 | hskp14
% 268.12/37.39 | |
% 268.12/37.39 | | BETA: splitting (9) gives:
% 268.12/37.39 | |
% 268.12/37.39 | | Case 1:
% 268.12/37.39 | | |
% 268.12/37.39 | | | (10) hskp27
% 268.12/37.39 | | |
% 268.12/37.39 | | | PRED_UNIFY: (4), (10) imply:
% 268.12/37.39 | | | (11) $false
% 268.12/37.39 | | |
% 268.12/37.39 | | | CLOSE: (11) is inconsistent.
% 268.12/37.39 | | |
% 268.12/37.39 | | Case 2:
% 268.12/37.39 | | |
% 268.12/37.39 | | | (12) hskp14
% 268.12/37.39 | | |
% 268.12/37.39 | | | REF_CLOSE: (2), (3), (6), (12) are inconsistent by sub-proof #154.
% 268.12/37.39 | | |
% 268.12/37.39 | | End of split
% 268.12/37.39 | |
% 268.12/37.39 | End of split
% 268.12/37.39 |
% 268.12/37.39 End of proof
% 268.12/37.39
% 268.12/37.39 Sub-proof #154 shows that the following formulas are inconsistent:
% 268.12/37.39 ----------------------------------------------------------------
% 268.12/37.39 (1) ~ hskp14 | (c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025))
% 268.12/37.39 (2) hskp14
% 268.12/37.39 (3) $i(a1025)
% 268.12/37.39 (4) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))
% 268.12/37.39
% 268.12/37.39 Begin of proof
% 268.12/37.39 |
% 268.12/37.39 | BETA: splitting (1) gives:
% 268.12/37.39 |
% 268.12/37.39 | Case 1:
% 268.12/37.39 | |
% 268.12/37.39 | | (5) ~ hskp14
% 268.12/37.39 | |
% 268.12/37.39 | | PRED_UNIFY: (2), (5) imply:
% 268.12/37.39 | | (6) $false
% 268.12/37.39 | |
% 268.12/37.39 | | CLOSE: (6) is inconsistent.
% 268.12/37.39 | |
% 268.12/37.39 | Case 2:
% 268.12/37.39 | |
% 268.12/37.39 | | (7) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025)
% 268.12/37.39 | |
% 268.12/37.39 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #155.
% 268.12/37.39 | |
% 268.12/37.39 | End of split
% 268.12/37.39 |
% 268.12/37.39 End of proof
% 268.12/37.39
% 268.12/37.39 Sub-proof #155 shows that the following formulas are inconsistent:
% 268.12/37.39 ----------------------------------------------------------------
% 268.12/37.39 (1) c0_1(a1025) & ndr1_0 & ~ c3_1(a1025) & ~ c2_1(a1025)
% 268.12/37.39 (2) $i(a1025)
% 268.12/37.39 (3) ! [v0: $i] : ( ~ $i(v0) | ~ c0_1(v0) | ~ ndr1_0 | c3_1(v0) | c2_1(v0))
% 268.12/37.39
% 268.12/37.39 Begin of proof
% 268.12/37.39 |
% 268.12/37.39 | ALPHA: (1) implies:
% 268.12/37.39 | (4) ~ c2_1(a1025)
% 268.12/37.39 | (5) ~ c3_1(a1025)
% 268.12/37.39 | (6) ndr1_0
% 268.12/37.39 | (7) c0_1(a1025)
% 268.12/37.39 |
% 268.12/37.39 | GROUND_INST: instantiating (3) with a1025, simplifying with (2), (4), (5),
% 268.12/37.39 | (6), (7) gives:
% 268.12/37.39 | (8) $false
% 268.12/37.39 |
% 268.12/37.39 | CLOSE: (8) is inconsistent.
% 268.12/37.39 |
% 268.12/37.39 End of proof
% 268.12/37.39
% 268.12/37.39 Sub-proof #156 shows that the following formulas are inconsistent:
% 268.12/37.39 ----------------------------------------------------------------
% 268.12/37.39 (1) ~ hskp7
% 268.12/37.39 (2) c2_1(a1044)
% 268.12/37.39 (3) hskp7 | ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~
% 268.12/37.39 c0_1(v0) | ~ ndr1_0)
% 268.12/37.39 (4) ndr1_0
% 268.12/37.39 (5) $i(a1044)
% 268.12/37.39 (6) c1_1(a1044)
% 268.12/37.39 (7) c0_1(a1044)
% 268.12/37.39
% 268.12/37.39 Begin of proof
% 268.12/37.39 |
% 268.12/37.39 | BETA: splitting (3) gives:
% 268.12/37.39 |
% 268.12/37.39 | Case 1:
% 268.12/37.39 | |
% 268.12/37.39 | | (8) hskp7
% 268.12/37.39 | |
% 268.12/37.39 | | PRED_UNIFY: (1), (8) imply:
% 268.12/37.39 | | (9) $false
% 268.12/37.39 | |
% 268.12/37.39 | | CLOSE: (9) is inconsistent.
% 268.12/37.39 | |
% 268.12/37.39 | Case 2:
% 268.12/37.39 | |
% 268.12/37.39 | | (10) ! [v0: $i] : ( ~ $i(v0) | ~ c1_1(v0) | ~ c2_1(v0) | ~ c0_1(v0) |
% 268.12/37.39 | | ~ ndr1_0)
% 268.12/37.39 | |
% 268.12/37.39 | | GROUND_INST: instantiating (10) with a1044, simplifying with (2), (4), (5),
% 268.12/37.39 | | (6), (7) gives:
% 268.12/37.39 | | (11) $false
% 268.12/37.39 | |
% 268.12/37.39 | | CLOSE: (11) is inconsistent.
% 268.12/37.39 | |
% 268.12/37.39 | End of split
% 268.12/37.39 |
% 268.12/37.39 End of proof
% 268.12/37.39 % SZS output end Proof for theBenchmark
% 268.12/37.39
% 268.12/37.39 36764ms
%------------------------------------------------------------------------------