TSTP Solution File: SWW095+1 by Princess---230619
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- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW095+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n017.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 00:49:17 EDT 2023
% Result : Theorem 35.86s 5.52s
% Output : Proof 49.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW095+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 19:53:57 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.64 ________ _____
% 0.19/0.64 ___ __ \_________(_)________________________________
% 0.19/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.64
% 0.19/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.64 (2023-06-19)
% 0.19/0.64
% 0.19/0.64 (c) Philipp Rümmer, 2009-2023
% 0.19/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.64 Amanda Stjerna.
% 0.19/0.64 Free software under BSD-3-Clause.
% 0.19/0.64
% 0.19/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.64
% 0.19/0.65 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.66 Running up to 7 provers in parallel.
% 0.19/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.68 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 7.09/1.80 Prover 4: Preprocessing ...
% 7.09/1.80 Prover 1: Preprocessing ...
% 7.09/1.81 Prover 2: Preprocessing ...
% 7.09/1.81 Prover 5: Preprocessing ...
% 7.09/1.81 Prover 3: Preprocessing ...
% 7.09/1.82 Prover 6: Preprocessing ...
% 7.09/1.82 Prover 0: Preprocessing ...
% 15.92/2.88 Prover 2: Proving ...
% 16.71/3.03 Prover 1: Constructing countermodel ...
% 16.71/3.07 Prover 5: Proving ...
% 17.32/3.09 Prover 3: Constructing countermodel ...
% 18.07/3.18 Prover 6: Proving ...
% 19.04/3.32 Prover 4: Constructing countermodel ...
% 21.71/3.69 Prover 0: Proving ...
% 35.86/5.52 Prover 5: proved (4845ms)
% 35.86/5.52
% 35.86/5.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.86/5.52
% 35.86/5.52 Prover 0: stopped
% 35.86/5.52 Prover 6: stopped
% 35.86/5.52 Prover 2: stopped
% 35.86/5.52 Prover 3: stopped
% 35.86/5.52 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 35.86/5.53 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 35.86/5.53 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 35.98/5.53 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 35.98/5.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 39.41/6.03 Prover 10: Preprocessing ...
% 39.41/6.04 Prover 11: Preprocessing ...
% 40.49/6.13 Prover 7: Preprocessing ...
% 40.49/6.13 Prover 8: Preprocessing ...
% 40.49/6.16 Prover 13: Preprocessing ...
% 41.07/6.26 Prover 10: Constructing countermodel ...
% 41.96/6.32 Prover 7: Constructing countermodel ...
% 42.80/6.43 Prover 13: Warning: ignoring some quantifiers
% 42.80/6.45 Prover 13: Constructing countermodel ...
% 44.02/6.59 Prover 8: Warning: ignoring some quantifiers
% 44.02/6.60 Prover 8: Constructing countermodel ...
% 44.86/6.69 Prover 11: Constructing countermodel ...
% 48.64/7.20 Prover 10: Found proof (size 270)
% 48.64/7.20 Prover 10: proved (1674ms)
% 48.64/7.20 Prover 1: stopped
% 48.64/7.20 Prover 8: stopped
% 48.64/7.20 Prover 4: stopped
% 48.64/7.20 Prover 11: stopped
% 48.64/7.20 Prover 7: stopped
% 48.64/7.20 Prover 13: stopped
% 48.64/7.20
% 48.64/7.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.64/7.20
% 48.64/7.21 % SZS output start Proof for theBenchmark
% 48.64/7.22 Assumptions after simplification:
% 48.64/7.22 ---------------------------------
% 48.64/7.22
% 48.64/7.22 (goal)
% 48.64/7.27 $i(sortedList_first) & $i(null) & $i(prev_2) & $i(nn) & ? [v0: $i] : ? [v1:
% 48.64/7.27 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 48.64/7.27 ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 48.64/7.27 [v12: $i] : ? [v13: $i] : ( ~ (v1 = null) & node_next(nn) = v0 & $i(v13) &
% 48.64/7.27 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 48.64/7.27 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & object(v1) & (v1 = nn | ~
% 48.64/7.27 v__1(sortedList_first, v1, v1)) & (( ~ (v1 = prev_2) & ((v13 = v0 &
% 48.64/7.27 v__1(v0, v1, v1) & object(v0) & ((v12 = v0 & v11 = v0 & ~ v__1(v0,
% 48.64/7.27 nn, nn)) | (v11 = v0 & v__1(v0, v1, nn)))) | (v11 = v0 & ~
% 48.64/7.27 (v1 = nn) & v__1(v0, v1, nn) & object(v0) & (v__1(null, v1, nn) |
% 48.64/7.27 (v__1(null, v1, v1) & ~ v__1(null, nn, nn))) & ((v13 = v0 & v12 =
% 48.64/7.27 v0 & v__1(v0, nn, nn) & ~ v__1(v0, v1, v1)) | (v12 = v0 &
% 48.64/7.27 v__1(v0, nn, v1)))) | ( ~ (v1 = nn) & v__1(null, v1, v1) & ( ~
% 48.64/7.27 v__1(null, nn, nn) | v__1(null, v1, nn)) & ((v12 = v0 & v11 = v0 &
% 48.64/7.27 v__1(v0, nn, nn) & object(v0) & ~ v__1(v0, v1, v1)) | (v11 = v0
% 48.64/7.27 & v__1(v0, nn, v1) & object(v0))))) & ((v4 = v0 & v__1(v0, v1,
% 48.64/7.27 prev_2) & object(v0) & ((v3 = v0 & v2 = v0 & v__1(v0, prev_2,
% 48.64/7.27 prev_2) & ~ v__1(v0, nn, nn)) | (v2 = v0 & v__1(v0, prev_2,
% 48.64/7.27 nn)))) | (v2 = v0 & ~ (prev_2 = nn) & v__1(v0, v1, nn) &
% 48.64/7.27 object(v0) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) &
% 48.64/7.27 ~ v__1(null, nn, nn))) & ((v4 = v0 & v3 = v0 & v__1(v0, nn, nn)
% 48.64/7.27 & ~ v__1(v0, prev_2, prev_2)) | (v3 = v0 & v__1(v0, nn,
% 48.64/7.27 prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, v1, prev_2) &
% 48.64/7.27 (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 48.64/7.27 v__1(null, nn, nn))) & ((v3 = v0 & v2 = v0 & v__1(v0, nn, nn) &
% 48.64/7.27 object(v0) & ~ v__1(v0, prev_2, prev_2)) | (v2 = v0 & v__1(v0,
% 48.64/7.27 nn, prev_2) & object(v0)))) | ((prev_2 = nn | ~ v__1(null,
% 48.64/7.27 prev_2, prev_2) | (v3 = v0 & object(v0) & ~ v__1(v0, nn,
% 48.64/7.27 prev_2) & ((v2 = v0 & v__1(v0, prev_2, prev_2)) | (v2 = v0 &
% 48.64/7.27 ~ v__1(v0, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null,
% 48.64/7.27 prev_2, nn))) & (prev_2 = nn | (v5 = v0 & object(v0) & ~
% 48.64/7.27 v__1(v0, nn, prev_2) & ((v4 = v0 & v__1(v0, prev_2, prev_2)) |
% 48.64/7.27 (v4 = v0 & ~ v__1(v0, nn, nn)))) | (v4 = v0 & object(v0) & ~
% 48.64/7.27 v__1(v0, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~
% 48.64/7.27 v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((v10 =
% 48.64/7.27 v0 & v__1(v0, v1, v1) & object(v0) & ((v9 = v0 & v8 = v0 & ~
% 48.64/7.27 v__1(v0, nn, nn)) | (v8 = v0 & v__1(v0, v1, nn)))) | (v8 =
% 48.64/7.27 v0 & ~ (v1 = nn) & v__1(v0, v1, nn) & object(v0) & (v__1(null,
% 48.64/7.27 v1, nn) | (v__1(null, v1, v1) & ~ v__1(null, nn, nn))) &
% 48.64/7.27 ((v10 = v0 & v9 = v0 & v__1(v0, nn, nn) & ~ v__1(v0, v1, v1)) |
% 48.64/7.27 (v9 = v0 & v__1(v0, nn, v1)))) | ( ~ (v1 = nn) & v__1(null,
% 48.64/7.27 v1, v1) & ( ~ v__1(null, nn, nn) | v__1(null, v1, nn)) & ((v9
% 48.64/7.27 = v0 & v8 = v0 & v__1(v0, nn, nn) & object(v0) & ~ v__1(v0,
% 48.64/7.27 v1, v1)) | (v8 = v0 & v__1(v0, nn, v1) & object(v0))))) &
% 48.64/7.27 ((v7 = v0 & object(v0) & ~ v__1(v0, prev_2, nn) & ((v6 = v0 &
% 48.64/7.27 v__1(v0, nn, nn)) | (v6 = v0 & ~ v__1(v0, prev_2,
% 48.64/7.27 prev_2)))) | (v6 = v0 & object(v0) & ~ v__1(v0, prev_2,
% 48.64/7.27 prev_2))))) & (( ~ (v1 = nn) & v__1(sortedList_first, prev_2,
% 48.64/7.27 nn) & (v__1(sortedList_first, nn, v1) | (v__1(sortedList_first,
% 48.64/7.27 nn, nn) & ~ v__1(sortedList_first, v1, v1))) & (v__1(null,
% 48.64/7.27 v1, nn) | (v__1(null, v1, v1) & ~ v__1(null, nn, nn)))) | ( ~
% 48.64/7.27 (v1 = nn) & v__1(null, prev_2, v1) & (v__1(sortedList_first, nn, v1)
% 48.64/7.27 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first, v1,
% 48.64/7.27 v1))) & (v__1(null, v1, nn) | (v__1(null, v1, v1) & ~
% 48.64/7.27 v__1(null, nn, nn)))) | (v__1(sortedList_first, prev_2, v1) &
% 48.64/7.27 (v__1(sortedList_first, v1, nn) | (v__1(sortedList_first, v1, v1) &
% 48.64/7.27 ~ v__1(sortedList_first, nn, nn)))) | ((v1 = nn | ~
% 48.64/7.27 v__1(sortedList_first, v1, nn) | ( ~ v__1(sortedList_first, nn,
% 48.64/7.27 v1) & ( ~ v__1(sortedList_first, nn, nn) |
% 48.64/7.27 v__1(sortedList_first, v1, v1))) | ( ~ v__1(null, v1, nn) & (
% 48.64/7.27 ~ v__1(null, v1, v1) | v__1(null, nn, nn)))) & (v1 = nn | ~
% 48.64/7.27 v__1(null, v1, v1) | (v__1(null, nn, nn) & ~ v__1(null, v1, nn))
% 48.64/7.27 | ( ~ v__1(sortedList_first, nn, v1) & ( ~ v__1(sortedList_first,
% 48.64/7.27 nn, nn) | v__1(sortedList_first, v1, v1)))) & ( ~
% 48.64/7.27 v__1(sortedList_first, v1, v1) | (v__1(sortedList_first, nn, nn) &
% 48.64/7.27 ~ v__1(sortedList_first, v1, nn))) & (( ~ (prev_2 = nn) &
% 48.64/7.27 v__1(sortedList_first, prev_2, nn) & (v__1(sortedList_first, nn,
% 48.64/7.27 prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 48.64/7.27 v__1(sortedList_first, prev_2, prev_2))) & (v__1(null,
% 48.64/7.27 prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null,
% 48.64/7.27 nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null, prev_2,
% 48.64/7.27 prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)) &
% 48.64/7.27 (v__1(sortedList_first, nn, prev_2) | (v__1(sortedList_first,
% 48.64/7.27 nn, nn) & ~ v__1(sortedList_first, prev_2, prev_2)))) |
% 48.64/7.27 (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 48.64/7.27 v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 48.64/7.27 prev_2, nn))))))) | ( ~ (v1 = prev_2) & ((v4 = v0 & v__1(v0,
% 48.64/7.27 v1, prev_2) & object(v0) & ((v3 = v0 & v2 = v0 & v__1(v0, prev_2,
% 48.64/7.27 prev_2) & ~ v__1(v0, nn, nn)) | (v2 = v0 & v__1(v0, prev_2,
% 48.64/7.27 nn)))) | (v2 = v0 & ~ (prev_2 = nn) & v__1(v0, v1, nn) &
% 48.64/7.27 object(v0) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) &
% 48.64/7.27 ~ v__1(null, nn, nn))) & ((v4 = v0 & v3 = v0 & v__1(v0, nn, nn)
% 48.64/7.27 & ~ v__1(v0, prev_2, prev_2)) | (v3 = v0 & v__1(v0, nn,
% 48.64/7.27 prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, v1, prev_2) &
% 48.64/7.27 (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 48.64/7.27 v__1(null, nn, nn))) & ((v3 = v0 & v2 = v0 & v__1(v0, nn, nn) &
% 48.64/7.27 object(v0) & ~ v__1(v0, prev_2, prev_2)) | (v2 = v0 & v__1(v0,
% 48.64/7.27 nn, prev_2) & object(v0)))) | ((prev_2 = nn | ~ v__1(null,
% 48.64/7.27 prev_2, prev_2) | (v3 = v0 & object(v0) & ~ v__1(v0, nn,
% 48.64/7.27 prev_2) & ((v2 = v0 & v__1(v0, prev_2, prev_2)) | (v2 = v0 &
% 48.64/7.27 ~ v__1(v0, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null,
% 48.64/7.27 prev_2, nn))) & (prev_2 = nn | (v5 = v0 & object(v0) & ~
% 48.64/7.27 v__1(v0, nn, prev_2) & ((v4 = v0 & v__1(v0, prev_2, prev_2)) |
% 48.64/7.27 (v4 = v0 & ~ v__1(v0, nn, nn)))) | (v4 = v0 & object(v0) & ~
% 48.64/7.27 v__1(v0, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~
% 48.64/7.27 v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((v10 =
% 48.64/7.27 v0 & v__1(v0, v1, v1) & object(v0) & ((v9 = v0 & v8 = v0 & ~
% 48.64/7.27 v__1(v0, nn, nn)) | (v8 = v0 & v__1(v0, v1, nn)))) | (v8 =
% 48.64/7.27 v0 & ~ (v1 = nn) & v__1(v0, v1, nn) & object(v0) & (v__1(null,
% 48.64/7.27 v1, nn) | (v__1(null, v1, v1) & ~ v__1(null, nn, nn))) &
% 48.64/7.27 ((v10 = v0 & v9 = v0 & v__1(v0, nn, nn) & ~ v__1(v0, v1, v1)) |
% 48.64/7.27 (v9 = v0 & v__1(v0, nn, v1)))) | ( ~ (v1 = nn) & v__1(null,
% 48.64/7.27 v1, v1) & ( ~ v__1(null, nn, nn) | v__1(null, v1, nn)) & ((v9
% 48.64/7.27 = v0 & v8 = v0 & v__1(v0, nn, nn) & object(v0) & ~ v__1(v0,
% 48.64/7.27 v1, v1)) | (v8 = v0 & v__1(v0, nn, v1) & object(v0))))) &
% 48.64/7.27 ((v7 = v0 & object(v0) & ~ v__1(v0, prev_2, nn) & ((v6 = v0 &
% 48.64/7.28 v__1(v0, nn, nn)) | (v6 = v0 & ~ v__1(v0, prev_2,
% 48.64/7.28 prev_2)))) | (v6 = v0 & object(v0) & ~ v__1(v0, prev_2,
% 48.64/7.28 prev_2))))) & (( ~ (v1 = nn) & v__1(sortedList_first, prev_2,
% 48.64/7.28 nn) & (v__1(sortedList_first, nn, v1) | (v__1(sortedList_first,
% 48.64/7.28 nn, nn) & ~ v__1(sortedList_first, v1, v1))) & (v__1(null,
% 48.64/7.28 v1, nn) | (v__1(null, v1, v1) & ~ v__1(null, nn, nn)))) | ( ~
% 48.64/7.28 (v1 = nn) & v__1(null, prev_2, v1) & (v__1(sortedList_first, nn, v1)
% 48.64/7.28 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first, v1,
% 48.64/7.28 v1))) & (v__1(null, v1, nn) | (v__1(null, v1, v1) & ~
% 48.64/7.28 v__1(null, nn, nn)))) | (v__1(sortedList_first, prev_2, v1) &
% 48.64/7.28 (v__1(sortedList_first, v1, nn) | (v__1(sortedList_first, v1, v1) &
% 48.64/7.28 ~ v__1(sortedList_first, nn, nn)))) | ((v1 = nn | ~
% 48.64/7.28 v__1(sortedList_first, v1, nn) | ( ~ v__1(sortedList_first, nn,
% 48.64/7.28 v1) & ( ~ v__1(sortedList_first, nn, nn) |
% 48.64/7.28 v__1(sortedList_first, v1, v1))) | ( ~ v__1(null, v1, nn) & (
% 48.64/7.28 ~ v__1(null, v1, v1) | v__1(null, nn, nn)))) & (v1 = nn | ~
% 48.64/7.28 v__1(null, v1, v1) | (v__1(null, nn, nn) & ~ v__1(null, v1, nn))
% 48.64/7.28 | ( ~ v__1(sortedList_first, nn, v1) & ( ~ v__1(sortedList_first,
% 48.64/7.28 nn, nn) | v__1(sortedList_first, v1, v1)))) & ( ~
% 48.64/7.28 v__1(sortedList_first, v1, v1) | (v__1(sortedList_first, nn, nn) &
% 48.64/7.28 ~ v__1(sortedList_first, v1, nn))) & (( ~ (prev_2 = nn) &
% 48.64/7.28 v__1(sortedList_first, prev_2, nn) & (v__1(sortedList_first, nn,
% 48.64/7.28 prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 48.64/7.28 v__1(sortedList_first, prev_2, prev_2))) & (v__1(null,
% 48.64/7.28 prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null,
% 48.64/7.28 nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null, prev_2,
% 48.64/7.28 prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)) &
% 48.64/7.28 (v__1(sortedList_first, nn, prev_2) | (v__1(sortedList_first,
% 48.64/7.28 nn, nn) & ~ v__1(sortedList_first, prev_2, prev_2)))) |
% 48.64/7.28 (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 48.64/7.28 v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 48.64/7.28 prev_2, nn)))))) & (( ~ (prev_2 = nn) &
% 48.64/7.28 v__1(sortedList_first, v1, nn) & (v__1(sortedList_first, nn, prev_2)
% 48.64/7.28 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 48.64/7.28 prev_2, prev_2))) & (v__1(null, prev_2, nn) | (v__1(null,
% 48.64/7.28 prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn)
% 48.64/7.28 & v__1(null, v1, prev_2) & (v__1(sortedList_first, nn, prev_2) |
% 48.64/7.28 (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 48.64/7.28 prev_2, prev_2))) & (v__1(null, prev_2, nn) | (v__1(null,
% 48.64/7.28 prev_2, prev_2) & ~ v__1(null, nn, nn)))) |
% 48.64/7.28 (v__1(sortedList_first, v1, prev_2) & (v__1(sortedList_first, prev_2,
% 48.64/7.28 nn) | (v__1(sortedList_first, prev_2, prev_2) & ~
% 48.64/7.28 v__1(sortedList_first, nn, nn)))))) | ((( ~ (v1 = nn) &
% 48.64/7.28 v__1(sortedList_first, v1, nn) & (v__1(sortedList_first, nn, v1) |
% 48.64/7.28 (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first, v1,
% 48.64/7.28 v1))) & (v__1(null, v1, nn) | (v__1(null, v1, v1) & ~
% 48.64/7.28 v__1(null, nn, nn)))) | ( ~ (v1 = nn) & v__1(null, v1, v1) & ( ~
% 48.64/7.28 v__1(null, nn, nn) | v__1(null, v1, nn)) & (v__1(sortedList_first,
% 48.64/7.28 nn, v1) | (v__1(sortedList_first, nn, nn) & ~
% 48.64/7.28 v__1(sortedList_first, v1, v1)))) | (v__1(sortedList_first, v1,
% 48.64/7.28 v1) & ( ~ v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 48.64/7.28 v1, nn)))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, v1, nn)
% 48.64/7.28 & (v__1(sortedList_first, nn, prev_2) | (v__1(sortedList_first, nn,
% 48.64/7.28 nn) & ~ v__1(sortedList_first, prev_2, prev_2))) &
% 48.64/7.28 (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 48.64/7.28 v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null, v1,
% 48.64/7.28 prev_2) & (v__1(sortedList_first, nn, prev_2) |
% 48.64/7.28 (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 48.64/7.28 prev_2, prev_2))) & (v__1(null, prev_2, nn) | (v__1(null,
% 48.64/7.28 prev_2, prev_2) & ~ v__1(null, nn, nn)))) |
% 48.64/7.28 (v__1(sortedList_first, v1, prev_2) & (v__1(sortedList_first, prev_2,
% 48.64/7.28 nn) | (v__1(sortedList_first, prev_2, prev_2) & ~
% 48.64/7.28 v__1(sortedList_first, nn, nn)))) | ((prev_2 = nn | ~
% 48.64/7.28 v__1(sortedList_first, prev_2, nn) | ( ~ v__1(sortedList_first,
% 48.64/7.28 nn, prev_2) & ( ~ v__1(sortedList_first, nn, nn) |
% 48.64/7.28 v__1(sortedList_first, prev_2, prev_2))) | ( ~ v__1(null,
% 48.64/7.28 prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn,
% 48.64/7.28 nn)))) & (prev_2 = nn | ~ v__1(null, prev_2, prev_2) |
% 48.64/7.28 (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn)) | ( ~
% 48.64/7.28 v__1(sortedList_first, nn, prev_2) & ( ~ v__1(sortedList_first,
% 48.64/7.28 nn, nn) | v__1(sortedList_first, prev_2, prev_2)))) & ( ~
% 48.64/7.28 v__1(sortedList_first, prev_2, prev_2) | (v__1(sortedList_first,
% 48.64/7.28 nn, nn) & ~ v__1(sortedList_first, prev_2, nn))) & (( ~ (v1 =
% 48.64/7.28 nn) & v__1(sortedList_first, v1, nn) & (v__1(sortedList_first,
% 48.64/7.28 nn, v1) | (v__1(sortedList_first, nn, nn) & ~
% 48.64/7.28 v__1(sortedList_first, v1, v1))) & (v__1(null, v1, nn) |
% 48.64/7.28 (v__1(null, v1, v1) & ~ v__1(null, nn, nn)))) | ( ~ (v1 = nn)
% 48.64/7.28 & v__1(null, v1, v1) & ( ~ v__1(null, nn, nn) | v__1(null, v1,
% 48.64/7.28 nn)) & (v__1(sortedList_first, nn, v1) |
% 48.64/7.28 (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 48.64/7.28 v1, v1)))) | (v__1(sortedList_first, v1, v1) & ( ~
% 48.64/7.28 v__1(sortedList_first, nn, nn) | v__1(sortedList_first, v1,
% 48.64/7.28 nn)))))))))
% 48.64/7.28
% 49.20/7.28 (hyp_tptp_1)
% 49.20/7.28 node_next(null) = null & $i(null)
% 49.20/7.28
% 49.20/7.28 (hyp_tptp_10)
% 49.20/7.28 ! [v0: $i] : ! [v1: $i] : ( ~ (node_next(v0) = v1) | ~ $i(v1) | ~ $i(v0) |
% 49.20/7.28 ~ object(v1) | ~ object(v0) | v__1(v0, v1, v1))
% 49.20/7.28
% 49.20/7.28 (hyp_tptp_12)
% 49.20/7.28 ~ (null = prev_2) & $i(null) & $i(prev_2)
% 49.20/7.28
% 49.20/7.28 (hyp_tptp_13)
% 49.20/7.28 $i(nn) & ? [v0: $i] : (node_key(nn) = v0 & $i(v0) & lteq(v0, v0) &
% 49.20/7.28 integer(v0))
% 49.20/7.28
% 49.20/7.28 (hyp_tptp_14)
% 49.20/7.28 ~ (null = nn) & $i(null) & $i(nn)
% 49.20/7.28
% 49.20/7.28 (hyp_tptp_15)
% 49.20/7.28 node_next(null) = null & $i(null)
% 49.20/7.28
% 49.20/7.28 (hyp_tptp_17)
% 49.20/7.28 $i(sortedList_first) & $i(null) & $i(prev_2) & (null = prev_2 |
% 49.20/7.28 v__1(sortedList_first, prev_2, prev_2))
% 49.20/7.28
% 49.20/7.28 (hyp_tptp_18)
% 49.20/7.28 $i(sortedList_first) & $i(null) & $i(nn) & (null = nn | v__1(sortedList_first,
% 49.20/7.28 nn, nn))
% 49.20/7.28
% 49.20/7.28 (hyp_tptp_2)
% 49.20/7.28 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 49.20/7.28 ~ v__1(v1, v2, v2) | ~ v__1(v0, v1, v1) | ~ object(v2) | ~ object(v1) |
% 49.20/7.28 ~ object(v0) | v__1(v0, v2, v2))
% 49.20/7.28
% 49.20/7.28 (hyp_tptp_20)
% 49.20/7.28 $i(null) & $i(prev_2) & $i(nn) & ? [v0: $i] : (null = prev_2 | (v0 = nn &
% 49.20/7.28 node_next(prev_2) = nn))
% 49.20/7.28
% 49.20/7.28 (hyp_tptp_3)
% 49.20/7.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2)
% 49.20/7.29 | ~ $i(v1) | ~ $i(v0) | ~ v__1(v2, v0, v3) | ~ v__1(v1, v2, v3) | ~
% 49.20/7.29 object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v1, v2,
% 49.20/7.29 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3)
% 49.20/7.29 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ v__1(v2, v0, v3) | ~ v__1(v1, v2,
% 49.20/7.29 v3) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) |
% 49.20/7.29 v__1(v1, v0, v3))
% 49.20/7.29
% 49.20/7.29 (hyp_tptp_30)
% 49.20/7.29 $i(sortedList_first) & $i(null) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 49.20/7.29 [v3: $i] : (v1 = null | v0 = null | ~ (node_key(v1) = v3) | ~ (node_key(v0)
% 49.20/7.29 = v2) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 49.20/7.29 v__1(sortedList_first, v0, v0) | ~ object(v1) | ~ object(v0) | ~
% 49.20/7.29 integer(v3) | ~ integer(v2) | lteq(v2, v3) | ? [v4: $i] : (node_next(v0) =
% 49.20/7.29 v4 & $i(v4) & ( ~ v__1(v4, v1, v1) | ~ object(v4)))) & ! [v0: $i] : !
% 49.20/7.29 [v1: $i] : ! [v2: $i] : (v1 = null | v0 = null | ~ (node_key(v1) = v2) | ~
% 49.20/7.29 (node_key(v0) = v2) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 49.20/7.29 v__1(sortedList_first, v0, v0) | ~ object(v1) | ~ object(v0) | ~
% 49.20/7.29 integer(v2) | ? [v3: $i] : (node_next(v0) = v3 & $i(v3) & ( ~ v__1(v3, v1,
% 49.20/7.29 v1) | ~ object(v3))))
% 49.20/7.29
% 49.20/7.29 (hyp_tptp_33)
% 49.20/7.29 ~ (null = nn) & $i(null) & $i(nn)
% 49.20/7.29
% 49.20/7.29 (hyp_tptp_4)
% 49.20/7.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2)
% 49.20/7.29 | ~ $i(v1) | ~ $i(v0) | ~ v__1(v1, v2, v3) | ~ v__1(v1, v0, v2) | ~
% 49.20/7.29 object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v1, v0,
% 49.20/7.29 v3)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3)
% 49.20/7.29 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ v__1(v1, v2, v3) | ~ v__1(v1, v0,
% 49.20/7.29 v2) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) |
% 49.20/7.29 v__1(v0, v2, v3))
% 49.20/7.29
% 49.20/7.29 (hyp_tptp_43)
% 49.20/7.29 node_next(null) = null & $i(null)
% 49.20/7.29
% 49.20/7.29 (hyp_tptp_5)
% 49.20/7.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 49.20/7.29 ~ v__1(v0, v2, v2) | ~ v__1(v0, v1, v1) | ~ object(v2) | ~ object(v1) |
% 49.20/7.29 ~ object(v0) | v__1(v0, v2, v1) | v__1(v0, v1, v2))
% 49.20/7.29
% 49.20/7.29 (hyp_tptp_6)
% 49.20/7.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 49.20/7.29 ~ v__1(v0, v1, v2) | ~ object(v2) | ~ object(v1) | ~ object(v0) |
% 49.20/7.29 v__1(v1, v2, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) |
% 49.20/7.29 ~ $i(v1) | ~ $i(v0) | ~ v__1(v0, v1, v2) | ~ object(v2) | ~ object(v1) |
% 49.20/7.29 ~ object(v0) | v__1(v0, v1, v1))
% 49.20/7.29
% 49.20/7.29 (hyp_tptp_8)
% 49.20/7.29 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~ v__1(v0, v1,
% 49.20/7.29 v0) | ~ object(v1) | ~ object(v0))
% 49.20/7.29
% 49.20/7.29 (hyp_tptp_9)
% 49.20/7.29 ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (node_next(v0) = v0) | ~ $i(v1) |
% 49.20/7.29 ~ $i(v0) | ~ v__1(v0, v1, v1) | ~ object(v1) | ~ object(v0))
% 49.20/7.29
% 49.20/7.29 (sort_info_nn)
% 49.20/7.29 $i(nn) & object(nn)
% 49.20/7.29
% 49.20/7.29 (sort_info_node_next)
% 49.20/7.29 ! [v0: $i] : ! [v1: $i] : ( ~ (node_next(v0) = v1) | ~ $i(v0) | object(v1))
% 49.20/7.29
% 49.20/7.29 (sort_info_null)
% 49.20/7.29 $i(null) & object(null)
% 49.20/7.29
% 49.20/7.29 (sort_info_prev_2)
% 49.20/7.29 $i(prev_2) & object(prev_2)
% 49.20/7.29
% 49.20/7.29 (sort_info_sortedList_first)
% 49.20/7.29 $i(sortedList_first) & object(sortedList_first)
% 49.20/7.29
% 49.20/7.29 (function-axioms)
% 49.20/7.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 49.20/7.29 (array_arrayState(v3, v2) = v1) | ~ (array_arrayState(v3, v2) = v0)) & !
% 49.20/7.30 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (node_next(v2) = v1) | ~
% 49.20/7.30 (node_next(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 49.20/7.30 ~ (node_key(v2) = v1) | ~ (node_key(v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 49.20/7.30 : ! [v2: $i] : (v1 = v0 | ~ (node_value(v2) = v1) | ~ (node_value(v2) =
% 49.20/7.30 v0))
% 49.20/7.30
% 49.20/7.30 Further assumptions not needed in the proof:
% 49.20/7.30 --------------------------------------------
% 49.20/7.30 axiom_tptp_1, axiom_tptp_2, axiom_tptp_3, axiom_tptp_4, axiom_tptp_5,
% 49.20/7.30 hyp_tptp_11, hyp_tptp_16, hyp_tptp_19, hyp_tptp_21, hyp_tptp_22, hyp_tptp_23,
% 49.20/7.30 hyp_tptp_24, hyp_tptp_25, hyp_tptp_26, hyp_tptp_27, hyp_tptp_28, hyp_tptp_29,
% 49.20/7.30 hyp_tptp_31, hyp_tptp_32, hyp_tptp_34, hyp_tptp_35, hyp_tptp_36, hyp_tptp_37,
% 49.20/7.30 hyp_tptp_38, hyp_tptp_39, hyp_tptp_40, hyp_tptp_41, hyp_tptp_42, hyp_tptp_44,
% 49.20/7.30 hyp_tptp_7, sort_info_array_arrayState, sort_info_node_key,
% 49.20/7.30 sort_info_node_value, sort_info_tmp_6_2
% 49.20/7.30
% 49.20/7.30 Those formulas are unsatisfiable:
% 49.20/7.30 ---------------------------------
% 49.20/7.30
% 49.20/7.30 Begin of proof
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (sort_info_nn) implies:
% 49.20/7.30 | (1) object(nn)
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (sort_info_prev_2) implies:
% 49.20/7.30 | (2) object(prev_2)
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (sort_info_null) implies:
% 49.20/7.30 | (3) object(null)
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (sort_info_sortedList_first) implies:
% 49.20/7.30 | (4) object(sortedList_first)
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (hyp_tptp_3) implies:
% 49.20/7.30 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~
% 49.20/7.30 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ v__1(v2, v0, v3) | ~ v__1(v1,
% 49.20/7.30 | v2, v3) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~
% 49.20/7.30 | object(v0) | v__1(v1, v2, v0))
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (hyp_tptp_4) implies:
% 49.20/7.30 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~
% 49.20/7.30 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ v__1(v1, v2, v3) | ~ v__1(v1,
% 49.20/7.30 | v0, v2) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~
% 49.20/7.30 | object(v0) | v__1(v0, v2, v3))
% 49.20/7.30 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~
% 49.20/7.30 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ v__1(v1, v2, v3) | ~ v__1(v1,
% 49.20/7.30 | v0, v2) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~
% 49.20/7.30 | object(v0) | v__1(v1, v0, v3))
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (hyp_tptp_6) implies:
% 49.20/7.30 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 49.20/7.30 | $i(v0) | ~ v__1(v0, v1, v2) | ~ object(v2) | ~ object(v1) | ~
% 49.20/7.30 | object(v0) | v__1(v0, v1, v1))
% 49.20/7.30 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 49.20/7.30 | $i(v0) | ~ v__1(v0, v1, v2) | ~ object(v2) | ~ object(v1) | ~
% 49.20/7.30 | object(v0) | v__1(v1, v2, v2))
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (hyp_tptp_12) implies:
% 49.20/7.30 | (10) ~ (null = prev_2)
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (hyp_tptp_13) implies:
% 49.20/7.30 | (11) ? [v0: $i] : (node_key(nn) = v0 & $i(v0) & lteq(v0, v0) &
% 49.20/7.30 | integer(v0))
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (hyp_tptp_17) implies:
% 49.20/7.30 | (12) null = prev_2 | v__1(sortedList_first, prev_2, prev_2)
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (hyp_tptp_18) implies:
% 49.20/7.30 | (13) null = nn | v__1(sortedList_first, nn, nn)
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (hyp_tptp_20) implies:
% 49.20/7.30 | (14) ? [v0: $i] : (null = prev_2 | (v0 = nn & node_next(prev_2) = nn))
% 49.20/7.30 |
% 49.20/7.30 | ALPHA: (hyp_tptp_30) implies:
% 49.20/7.30 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = null | v0 = null | ~
% 49.20/7.30 | (node_key(v1) = v2) | ~ (node_key(v0) = v2) | ~ $i(v2) | ~ $i(v1)
% 49.20/7.30 | | ~ $i(v0) | ~ v__1(sortedList_first, v0, v0) | ~ object(v1) | ~
% 49.20/7.30 | object(v0) | ~ integer(v2) | ? [v3: $i] : (node_next(v0) = v3 &
% 49.20/7.30 | $i(v3) & ( ~ v__1(v3, v1, v1) | ~ object(v3))))
% 49.20/7.31 |
% 49.20/7.31 | ALPHA: (hyp_tptp_33) implies:
% 49.20/7.31 | (16) ~ (null = nn)
% 49.20/7.31 |
% 49.20/7.31 | ALPHA: (hyp_tptp_43) implies:
% 49.20/7.31 | (17) node_next(null) = null
% 49.20/7.31 |
% 49.20/7.31 | ALPHA: (goal) implies:
% 49.20/7.31 | (18) $i(nn)
% 49.20/7.31 | (19) $i(prev_2)
% 49.20/7.31 | (20) $i(null)
% 49.20/7.31 | (21) $i(sortedList_first)
% 49.20/7.32 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 49.20/7.32 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 49.20/7.32 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ( ~ (v1 =
% 49.20/7.32 | null) & node_next(nn) = v0 & $i(v13) & $i(v12) & $i(v11) & $i(v10)
% 49.20/7.32 | & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 49.20/7.32 | $i(v2) & $i(v1) & $i(v0) & object(v1) & (v1 = nn | ~
% 49.20/7.32 | v__1(sortedList_first, v1, v1)) & (( ~ (v1 = prev_2) & ((v13 = v0
% 49.20/7.32 | & v__1(v0, v1, v1) & object(v0) & ((v12 = v0 & v11 = v0 & ~
% 49.20/7.32 | v__1(v0, nn, nn)) | (v11 = v0 & v__1(v0, v1, nn)))) |
% 49.20/7.32 | (v11 = v0 & ~ (v1 = nn) & v__1(v0, v1, nn) & object(v0) &
% 49.20/7.32 | (v__1(null, v1, nn) | (v__1(null, v1, v1) & ~ v__1(null,
% 49.20/7.32 | nn, nn))) & ((v13 = v0 & v12 = v0 & v__1(v0, nn, nn) &
% 49.20/7.32 | ~ v__1(v0, v1, v1)) | (v12 = v0 & v__1(v0, nn, v1)))) |
% 49.20/7.32 | ( ~ (v1 = nn) & v__1(null, v1, v1) & ( ~ v__1(null, nn, nn) |
% 49.20/7.32 | v__1(null, v1, nn)) & ((v12 = v0 & v11 = v0 & v__1(v0, nn,
% 49.20/7.32 | nn) & object(v0) & ~ v__1(v0, v1, v1)) | (v11 = v0 &
% 49.20/7.32 | v__1(v0, nn, v1) & object(v0))))) & ((v4 = v0 & v__1(v0,
% 49.20/7.32 | v1, prev_2) & object(v0) & ((v3 = v0 & v2 = v0 & v__1(v0,
% 49.20/7.32 | prev_2, prev_2) & ~ v__1(v0, nn, nn)) | (v2 = v0 &
% 49.20/7.32 | v__1(v0, prev_2, nn)))) | (v2 = v0 & ~ (prev_2 = nn) &
% 49.20/7.32 | v__1(v0, v1, nn) & object(v0) & (v__1(null, prev_2, nn) |
% 49.20/7.32 | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) &
% 49.20/7.32 | ((v4 = v0 & v3 = v0 & v__1(v0, nn, nn) & ~ v__1(v0, prev_2,
% 49.20/7.32 | prev_2)) | (v3 = v0 & v__1(v0, nn, prev_2)))) | ( ~
% 49.20/7.32 | (prev_2 = nn) & v__1(null, v1, prev_2) & (v__1(null, prev_2,
% 49.20/7.32 | nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn,
% 49.20/7.32 | nn))) & ((v3 = v0 & v2 = v0 & v__1(v0, nn, nn) &
% 49.20/7.32 | object(v0) & ~ v__1(v0, prev_2, prev_2)) | (v2 = v0 &
% 49.20/7.32 | v__1(v0, nn, prev_2) & object(v0)))) | ((prev_2 = nn |
% 49.20/7.32 | ~ v__1(null, prev_2, prev_2) | (v3 = v0 & object(v0) & ~
% 49.20/7.32 | v__1(v0, nn, prev_2) & ((v2 = v0 & v__1(v0, prev_2,
% 49.20/7.32 | prev_2)) | (v2 = v0 & ~ v__1(v0, nn, nn)))) |
% 49.20/7.32 | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) &
% 49.20/7.32 | (prev_2 = nn | (v5 = v0 & object(v0) & ~ v__1(v0, nn,
% 49.20/7.32 | prev_2) & ((v4 = v0 & v__1(v0, prev_2, prev_2)) | (v4
% 49.20/7.32 | = v0 & ~ v__1(v0, nn, nn)))) | (v4 = v0 &
% 49.20/7.32 | object(v0) & ~ v__1(v0, prev_2, nn)) | ( ~ v__1(null,
% 49.20/7.32 | prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) |
% 49.20/7.32 | v__1(null, nn, nn)))) & ((v10 = v0 & v__1(v0, v1, v1)
% 49.20/7.32 | & object(v0) & ((v9 = v0 & v8 = v0 & ~ v__1(v0, nn,
% 49.20/7.32 | nn)) | (v8 = v0 & v__1(v0, v1, nn)))) | (v8 = v0 &
% 49.20/7.32 | ~ (v1 = nn) & v__1(v0, v1, nn) & object(v0) &
% 49.20/7.32 | (v__1(null, v1, nn) | (v__1(null, v1, v1) & ~
% 49.20/7.32 | v__1(null, nn, nn))) & ((v10 = v0 & v9 = v0 &
% 49.20/7.32 | v__1(v0, nn, nn) & ~ v__1(v0, v1, v1)) | (v9 = v0 &
% 49.20/7.32 | v__1(v0, nn, v1)))) | ( ~ (v1 = nn) & v__1(null, v1,
% 49.20/7.32 | v1) & ( ~ v__1(null, nn, nn) | v__1(null, v1, nn)) &
% 49.20/7.32 | ((v9 = v0 & v8 = v0 & v__1(v0, nn, nn) & object(v0) & ~
% 49.20/7.32 | v__1(v0, v1, v1)) | (v8 = v0 & v__1(v0, nn, v1) &
% 49.20/7.32 | object(v0))))) & ((v7 = v0 & object(v0) & ~
% 49.20/7.32 | v__1(v0, prev_2, nn) & ((v6 = v0 & v__1(v0, nn, nn)) |
% 49.20/7.32 | (v6 = v0 & ~ v__1(v0, prev_2, prev_2)))) | (v6 = v0 &
% 49.20/7.32 | object(v0) & ~ v__1(v0, prev_2, prev_2))))) & (( ~ (v1
% 49.20/7.32 | = nn) & v__1(sortedList_first, prev_2, nn) &
% 49.20/7.32 | (v__1(sortedList_first, nn, v1) | (v__1(sortedList_first,
% 49.20/7.32 | nn, nn) & ~ v__1(sortedList_first, v1, v1))) &
% 49.20/7.32 | (v__1(null, v1, nn) | (v__1(null, v1, v1) & ~ v__1(null,
% 49.20/7.32 | nn, nn)))) | ( ~ (v1 = nn) & v__1(null, prev_2, v1) &
% 49.20/7.32 | (v__1(sortedList_first, nn, v1) | (v__1(sortedList_first,
% 49.20/7.32 | nn, nn) & ~ v__1(sortedList_first, v1, v1))) &
% 49.20/7.32 | (v__1(null, v1, nn) | (v__1(null, v1, v1) & ~ v__1(null,
% 49.20/7.32 | nn, nn)))) | (v__1(sortedList_first, prev_2, v1) &
% 49.20/7.32 | (v__1(sortedList_first, v1, nn) | (v__1(sortedList_first,
% 49.20/7.32 | v1, v1) & ~ v__1(sortedList_first, nn, nn)))) | ((v1
% 49.20/7.32 | = nn | ~ v__1(sortedList_first, v1, nn) | ( ~
% 49.20/7.32 | v__1(sortedList_first, nn, v1) & ( ~
% 49.20/7.32 | v__1(sortedList_first, nn, nn) |
% 49.20/7.32 | v__1(sortedList_first, v1, v1))) | ( ~ v__1(null, v1,
% 49.20/7.32 | nn) & ( ~ v__1(null, v1, v1) | v__1(null, nn, nn)))) &
% 49.20/7.32 | (v1 = nn | ~ v__1(null, v1, v1) | (v__1(null, nn, nn) & ~
% 49.20/7.32 | v__1(null, v1, nn)) | ( ~ v__1(sortedList_first, nn, v1)
% 49.20/7.32 | & ( ~ v__1(sortedList_first, nn, nn) |
% 49.20/7.32 | v__1(sortedList_first, v1, v1)))) & ( ~
% 49.20/7.32 | v__1(sortedList_first, v1, v1) | (v__1(sortedList_first,
% 49.20/7.32 | nn, nn) & ~ v__1(sortedList_first, v1, nn))) & (( ~
% 49.20/7.32 | (prev_2 = nn) & v__1(sortedList_first, prev_2, nn) &
% 49.20/7.32 | (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.32 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, prev_2, prev_2))) &
% 49.20/7.32 | (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) &
% 49.20/7.32 | ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) &
% 49.20/7.32 | v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) |
% 49.20/7.32 | v__1(null, prev_2, nn)) & (v__1(sortedList_first, nn,
% 49.20/7.32 | prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, prev_2, prev_2)))) |
% 49.20/7.32 | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.20/7.32 | v__1(sortedList_first, nn, nn) |
% 49.20/7.32 | v__1(sortedList_first, prev_2, nn))))))) | ( ~ (v1 =
% 49.20/7.32 | prev_2) & ((v4 = v0 & v__1(v0, v1, prev_2) & object(v0) & ((v3
% 49.20/7.32 | = v0 & v2 = v0 & v__1(v0, prev_2, prev_2) & ~ v__1(v0,
% 49.20/7.32 | nn, nn)) | (v2 = v0 & v__1(v0, prev_2, nn)))) | (v2 =
% 49.20/7.32 | v0 & ~ (prev_2 = nn) & v__1(v0, v1, nn) & object(v0) &
% 49.20/7.32 | (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.32 | v__1(null, nn, nn))) & ((v4 = v0 & v3 = v0 & v__1(v0,
% 49.20/7.32 | nn, nn) & ~ v__1(v0, prev_2, prev_2)) | (v3 = v0 &
% 49.20/7.32 | v__1(v0, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.20/7.32 | v1, prev_2) & (v__1(null, prev_2, nn) | (v__1(null,
% 49.20/7.32 | prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((v3 = v0
% 49.20/7.32 | & v2 = v0 & v__1(v0, nn, nn) & object(v0) & ~ v__1(v0,
% 49.20/7.32 | prev_2, prev_2)) | (v2 = v0 & v__1(v0, nn, prev_2) &
% 49.20/7.32 | object(v0)))) | ((prev_2 = nn | ~ v__1(null, prev_2,
% 49.20/7.32 | prev_2) | (v3 = v0 & object(v0) & ~ v__1(v0, nn,
% 49.20/7.32 | prev_2) & ((v2 = v0 & v__1(v0, prev_2, prev_2)) | (v2
% 49.20/7.32 | = v0 & ~ v__1(v0, nn, nn)))) | (v__1(null, nn, nn)
% 49.20/7.32 | & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (v5 = v0
% 49.20/7.32 | & object(v0) & ~ v__1(v0, nn, prev_2) & ((v4 = v0 &
% 49.20/7.32 | v__1(v0, prev_2, prev_2)) | (v4 = v0 & ~ v__1(v0,
% 49.20/7.32 | nn, nn)))) | (v4 = v0 & object(v0) & ~ v__1(v0,
% 49.20/7.32 | prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~
% 49.20/7.32 | v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) &
% 49.20/7.32 | ((v10 = v0 & v__1(v0, v1, v1) & object(v0) & ((v9 = v0 & v8
% 49.20/7.32 | = v0 & ~ v__1(v0, nn, nn)) | (v8 = v0 & v__1(v0,
% 49.20/7.32 | v1, nn)))) | (v8 = v0 & ~ (v1 = nn) & v__1(v0,
% 49.20/7.32 | v1, nn) & object(v0) & (v__1(null, v1, nn) |
% 49.20/7.32 | (v__1(null, v1, v1) & ~ v__1(null, nn, nn))) & ((v10
% 49.20/7.32 | = v0 & v9 = v0 & v__1(v0, nn, nn) & ~ v__1(v0, v1,
% 49.20/7.32 | v1)) | (v9 = v0 & v__1(v0, nn, v1)))) | ( ~ (v1 =
% 49.20/7.32 | nn) & v__1(null, v1, v1) & ( ~ v__1(null, nn, nn) |
% 49.20/7.32 | v__1(null, v1, nn)) & ((v9 = v0 & v8 = v0 & v__1(v0,
% 49.20/7.32 | nn, nn) & object(v0) & ~ v__1(v0, v1, v1)) | (v8
% 49.20/7.32 | = v0 & v__1(v0, nn, v1) & object(v0))))) & ((v7 = v0
% 49.20/7.32 | & object(v0) & ~ v__1(v0, prev_2, nn) & ((v6 = v0 &
% 49.20/7.32 | v__1(v0, nn, nn)) | (v6 = v0 & ~ v__1(v0, prev_2,
% 49.20/7.32 | prev_2)))) | (v6 = v0 & object(v0) & ~ v__1(v0,
% 49.20/7.32 | prev_2, prev_2))))) & (( ~ (v1 = nn) &
% 49.20/7.32 | v__1(sortedList_first, prev_2, nn) & (v__1(sortedList_first,
% 49.20/7.32 | nn, v1) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, v1, v1))) & (v__1(null, v1, nn) |
% 49.20/7.32 | (v__1(null, v1, v1) & ~ v__1(null, nn, nn)))) | ( ~ (v1 =
% 49.20/7.32 | nn) & v__1(null, prev_2, v1) & (v__1(sortedList_first, nn,
% 49.20/7.32 | v1) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, v1, v1))) & (v__1(null, v1, nn) |
% 49.20/7.32 | (v__1(null, v1, v1) & ~ v__1(null, nn, nn)))) |
% 49.20/7.32 | (v__1(sortedList_first, prev_2, v1) & (v__1(sortedList_first,
% 49.20/7.32 | v1, nn) | (v__1(sortedList_first, v1, v1) & ~
% 49.20/7.32 | v__1(sortedList_first, nn, nn)))) | ((v1 = nn | ~
% 49.20/7.32 | v__1(sortedList_first, v1, nn) | ( ~
% 49.20/7.32 | v__1(sortedList_first, nn, v1) & ( ~
% 49.20/7.32 | v__1(sortedList_first, nn, nn) |
% 49.20/7.32 | v__1(sortedList_first, v1, v1))) | ( ~ v__1(null, v1,
% 49.20/7.32 | nn) & ( ~ v__1(null, v1, v1) | v__1(null, nn, nn)))) &
% 49.20/7.32 | (v1 = nn | ~ v__1(null, v1, v1) | (v__1(null, nn, nn) & ~
% 49.20/7.32 | v__1(null, v1, nn)) | ( ~ v__1(sortedList_first, nn, v1)
% 49.20/7.32 | & ( ~ v__1(sortedList_first, nn, nn) |
% 49.20/7.32 | v__1(sortedList_first, v1, v1)))) & ( ~
% 49.20/7.32 | v__1(sortedList_first, v1, v1) | (v__1(sortedList_first,
% 49.20/7.32 | nn, nn) & ~ v__1(sortedList_first, v1, nn))) & (( ~
% 49.20/7.32 | (prev_2 = nn) & v__1(sortedList_first, prev_2, nn) &
% 49.20/7.32 | (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.32 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, prev_2, prev_2))) &
% 49.20/7.32 | (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) &
% 49.20/7.32 | ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) &
% 49.20/7.32 | v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) |
% 49.20/7.32 | v__1(null, prev_2, nn)) & (v__1(sortedList_first, nn,
% 49.20/7.32 | prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, prev_2, prev_2)))) |
% 49.20/7.32 | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.20/7.32 | v__1(sortedList_first, nn, nn) |
% 49.20/7.32 | v__1(sortedList_first, prev_2, nn)))))) & (( ~ (prev_2
% 49.20/7.32 | = nn) & v__1(sortedList_first, v1, nn) &
% 49.20/7.32 | (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.32 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, prev_2, prev_2))) & (v__1(null,
% 49.20/7.32 | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.32 | v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.20/7.32 | v1, prev_2) & (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.32 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, prev_2, prev_2))) & (v__1(null,
% 49.20/7.32 | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.32 | v__1(null, nn, nn)))) | (v__1(sortedList_first, v1,
% 49.20/7.32 | prev_2) & (v__1(sortedList_first, prev_2, nn) |
% 49.20/7.32 | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.20/7.32 | v__1(sortedList_first, nn, nn)))))) | ((( ~ (v1 = nn) &
% 49.20/7.32 | v__1(sortedList_first, v1, nn) & (v__1(sortedList_first, nn,
% 49.20/7.32 | v1) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, v1, v1))) & (v__1(null, v1, nn) |
% 49.20/7.32 | (v__1(null, v1, v1) & ~ v__1(null, nn, nn)))) | ( ~ (v1 =
% 49.20/7.32 | nn) & v__1(null, v1, v1) & ( ~ v__1(null, nn, nn) |
% 49.20/7.32 | v__1(null, v1, nn)) & (v__1(sortedList_first, nn, v1) |
% 49.20/7.32 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, v1, v1)))) |
% 49.20/7.32 | (v__1(sortedList_first, v1, v1) & ( ~ v__1(sortedList_first,
% 49.20/7.32 | nn, nn) | v__1(sortedList_first, v1, nn)))) & (( ~
% 49.20/7.32 | (prev_2 = nn) & v__1(sortedList_first, v1, nn) &
% 49.20/7.32 | (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.32 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, prev_2, prev_2))) & (v__1(null,
% 49.20/7.32 | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.32 | v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.20/7.32 | v1, prev_2) & (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.32 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, prev_2, prev_2))) & (v__1(null,
% 49.20/7.32 | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.32 | v__1(null, nn, nn)))) | (v__1(sortedList_first, v1,
% 49.20/7.32 | prev_2) & (v__1(sortedList_first, prev_2, nn) |
% 49.20/7.32 | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.20/7.32 | v__1(sortedList_first, nn, nn)))) | ((prev_2 = nn | ~
% 49.20/7.32 | v__1(sortedList_first, prev_2, nn) | ( ~
% 49.20/7.32 | v__1(sortedList_first, nn, prev_2) & ( ~
% 49.20/7.32 | v__1(sortedList_first, nn, nn) |
% 49.20/7.32 | v__1(sortedList_first, prev_2, prev_2))) | ( ~
% 49.20/7.32 | v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2)
% 49.20/7.32 | | v__1(null, nn, nn)))) & (prev_2 = nn | ~ v__1(null,
% 49.20/7.32 | prev_2, prev_2) | (v__1(null, nn, nn) & ~ v__1(null,
% 49.20/7.32 | prev_2, nn)) | ( ~ v__1(sortedList_first, nn, prev_2)
% 49.20/7.32 | & ( ~ v__1(sortedList_first, nn, nn) |
% 49.20/7.32 | v__1(sortedList_first, prev_2, prev_2)))) & ( ~
% 49.20/7.32 | v__1(sortedList_first, prev_2, prev_2) |
% 49.20/7.32 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, prev_2, nn))) & (( ~ (v1 = nn) &
% 49.20/7.32 | v__1(sortedList_first, v1, nn) & (v__1(sortedList_first,
% 49.20/7.32 | nn, v1) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, v1, v1))) & (v__1(null, v1,
% 49.20/7.32 | nn) | (v__1(null, v1, v1) & ~ v__1(null, nn, nn))))
% 49.20/7.32 | | ( ~ (v1 = nn) & v__1(null, v1, v1) & ( ~ v__1(null, nn,
% 49.20/7.32 | nn) | v__1(null, v1, nn)) & (v__1(sortedList_first,
% 49.20/7.32 | nn, v1) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.32 | v__1(sortedList_first, v1, v1)))) |
% 49.20/7.32 | (v__1(sortedList_first, v1, v1) & ( ~
% 49.20/7.32 | v__1(sortedList_first, nn, nn) |
% 49.20/7.32 | v__1(sortedList_first, v1, nn)))))))))
% 49.20/7.32 |
% 49.20/7.32 | ALPHA: (function-axioms) implies:
% 49.20/7.32 | (23) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (node_next(v2)
% 49.20/7.32 | = v1) | ~ (node_next(v2) = v0))
% 49.20/7.32 |
% 49.20/7.32 | DELTA: instantiating (14) with fresh symbol all_30_0 gives:
% 49.20/7.32 | (24) null = prev_2 | (all_30_0 = nn & node_next(prev_2) = nn)
% 49.20/7.32 |
% 49.20/7.32 | DELTA: instantiating (11) with fresh symbol all_31_0 gives:
% 49.20/7.32 | (25) node_key(nn) = all_31_0 & $i(all_31_0) & lteq(all_31_0, all_31_0) &
% 49.20/7.32 | integer(all_31_0)
% 49.20/7.32 |
% 49.20/7.32 | ALPHA: (25) implies:
% 49.20/7.32 | (26) integer(all_31_0)
% 49.20/7.32 | (27) $i(all_31_0)
% 49.20/7.32 | (28) node_key(nn) = all_31_0
% 49.20/7.32 |
% 49.20/7.32 | DELTA: instantiating (22) with fresh symbols all_33_0, all_33_1, all_33_2,
% 49.20/7.32 | all_33_3, all_33_4, all_33_5, all_33_6, all_33_7, all_33_8, all_33_9,
% 49.20/7.32 | all_33_10, all_33_11, all_33_12, all_33_13 gives:
% 49.20/7.33 | (29) ~ (all_33_12 = null) & node_next(nn) = all_33_13 & $i(all_33_0) &
% 49.20/7.33 | $i(all_33_1) & $i(all_33_2) & $i(all_33_3) & $i(all_33_4) &
% 49.20/7.33 | $i(all_33_5) & $i(all_33_6) & $i(all_33_7) & $i(all_33_8) &
% 49.20/7.33 | $i(all_33_9) & $i(all_33_10) & $i(all_33_11) & $i(all_33_12) &
% 49.20/7.33 | $i(all_33_13) & object(all_33_12) & (all_33_12 = nn | ~
% 49.20/7.33 | v__1(sortedList_first, all_33_12, all_33_12)) & (( ~ (all_33_12 =
% 49.20/7.33 | prev_2) & ((all_33_0 = all_33_13 & v__1(all_33_13, all_33_12,
% 49.20/7.33 | all_33_12) & object(all_33_13) & ((all_33_1 = all_33_13 &
% 49.20/7.33 | all_33_2 = all_33_13 & ~ v__1(all_33_13, nn, nn)) |
% 49.20/7.33 | (all_33_2 = all_33_13 & v__1(all_33_13, all_33_12, nn)))) |
% 49.20/7.33 | (all_33_2 = all_33_13 & ~ (all_33_12 = nn) & v__1(all_33_13,
% 49.20/7.33 | all_33_12, nn) & object(all_33_13) & (v__1(null, all_33_12,
% 49.20/7.33 | nn) | (v__1(null, all_33_12, all_33_12) & ~ v__1(null,
% 49.20/7.33 | nn, nn))) & ((all_33_0 = all_33_13 & all_33_1 =
% 49.20/7.33 | all_33_13 & v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.20/7.33 | all_33_12, all_33_12)) | (all_33_1 = all_33_13 &
% 49.20/7.33 | v__1(all_33_13, nn, all_33_12)))) | ( ~ (all_33_12 = nn) &
% 49.20/7.33 | v__1(null, all_33_12, all_33_12) & ( ~ v__1(null, nn, nn) |
% 49.20/7.33 | v__1(null, all_33_12, nn)) & ((all_33_1 = all_33_13 &
% 49.20/7.33 | all_33_2 = all_33_13 & v__1(all_33_13, nn, nn) &
% 49.20/7.33 | object(all_33_13) & ~ v__1(all_33_13, all_33_12,
% 49.20/7.33 | all_33_12)) | (all_33_2 = all_33_13 & v__1(all_33_13,
% 49.20/7.33 | nn, all_33_12) & object(all_33_13))))) & ((all_33_9 =
% 49.20/7.33 | all_33_13 & v__1(all_33_13, all_33_12, prev_2) &
% 49.20/7.33 | object(all_33_13) & ((all_33_10 = all_33_13 & all_33_11 =
% 49.20/7.33 | all_33_13 & v__1(all_33_13, prev_2, prev_2) & ~
% 49.20/7.33 | v__1(all_33_13, nn, nn)) | (all_33_11 = all_33_13 &
% 49.20/7.33 | v__1(all_33_13, prev_2, nn)))) | (all_33_11 = all_33_13 &
% 49.20/7.33 | ~ (prev_2 = nn) & v__1(all_33_13, all_33_12, nn) &
% 49.20/7.33 | object(all_33_13) & (v__1(null, prev_2, nn) | (v__1(null,
% 49.20/7.33 | prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_33_9 =
% 49.20/7.33 | all_33_13 & all_33_10 = all_33_13 & v__1(all_33_13, nn,
% 49.20/7.33 | nn) & ~ v__1(all_33_13, prev_2, prev_2)) | (all_33_10 =
% 49.20/7.33 | all_33_13 & v__1(all_33_13, nn, prev_2)))) | ( ~ (prev_2 =
% 49.20/7.33 | nn) & v__1(null, all_33_12, prev_2) & (v__1(null, prev_2,
% 49.20/7.33 | nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn,
% 49.20/7.33 | nn))) & ((all_33_10 = all_33_13 & all_33_11 = all_33_13
% 49.20/7.33 | & v__1(all_33_13, nn, nn) & object(all_33_13) & ~
% 49.20/7.33 | v__1(all_33_13, prev_2, prev_2)) | (all_33_11 = all_33_13
% 49.20/7.33 | & v__1(all_33_13, nn, prev_2) & object(all_33_13)))) |
% 49.20/7.33 | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_33_10 =
% 49.20/7.33 | all_33_13 & object(all_33_13) & ~ v__1(all_33_13, nn,
% 49.20/7.33 | prev_2) & ((all_33_11 = all_33_13 & v__1(all_33_13,
% 49.20/7.33 | prev_2, prev_2)) | (all_33_11 = all_33_13 & ~
% 49.20/7.33 | v__1(all_33_13, nn, nn)))) | (v__1(null, nn, nn) & ~
% 49.20/7.33 | v__1(null, prev_2, nn))) & (prev_2 = nn | (all_33_8 =
% 49.20/7.33 | all_33_13 & object(all_33_13) & ~ v__1(all_33_13, nn,
% 49.20/7.33 | prev_2) & ((all_33_9 = all_33_13 & v__1(all_33_13,
% 49.20/7.33 | prev_2, prev_2)) | (all_33_9 = all_33_13 & ~
% 49.20/7.33 | v__1(all_33_13, nn, nn)))) | (all_33_9 = all_33_13 &
% 49.20/7.33 | object(all_33_13) & ~ v__1(all_33_13, prev_2, nn)) | ( ~
% 49.20/7.33 | v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) |
% 49.20/7.33 | v__1(null, nn, nn)))) & ((all_33_3 = all_33_13 &
% 49.20/7.33 | v__1(all_33_13, all_33_12, all_33_12) & object(all_33_13)
% 49.20/7.33 | & ((all_33_4 = all_33_13 & all_33_5 = all_33_13 & ~
% 49.20/7.33 | v__1(all_33_13, nn, nn)) | (all_33_5 = all_33_13 &
% 49.20/7.33 | v__1(all_33_13, all_33_12, nn)))) | (all_33_5 =
% 49.20/7.33 | all_33_13 & ~ (all_33_12 = nn) & v__1(all_33_13,
% 49.20/7.33 | all_33_12, nn) & object(all_33_13) & (v__1(null,
% 49.20/7.33 | all_33_12, nn) | (v__1(null, all_33_12, all_33_12) &
% 49.20/7.33 | ~ v__1(null, nn, nn))) & ((all_33_3 = all_33_13 &
% 49.20/7.33 | all_33_4 = all_33_13 & v__1(all_33_13, nn, nn) & ~
% 49.20/7.33 | v__1(all_33_13, all_33_12, all_33_12)) | (all_33_4 =
% 49.20/7.33 | all_33_13 & v__1(all_33_13, nn, all_33_12)))) | ( ~
% 49.20/7.33 | (all_33_12 = nn) & v__1(null, all_33_12, all_33_12) & ( ~
% 49.20/7.33 | v__1(null, nn, nn) | v__1(null, all_33_12, nn)) &
% 49.20/7.33 | ((all_33_4 = all_33_13 & all_33_5 = all_33_13 &
% 49.20/7.33 | v__1(all_33_13, nn, nn) & object(all_33_13) & ~
% 49.20/7.33 | v__1(all_33_13, all_33_12, all_33_12)) | (all_33_5 =
% 49.20/7.33 | all_33_13 & v__1(all_33_13, nn, all_33_12) &
% 49.20/7.33 | object(all_33_13))))) & ((all_33_6 = all_33_13 &
% 49.20/7.33 | object(all_33_13) & ~ v__1(all_33_13, prev_2, nn) &
% 49.20/7.33 | ((all_33_7 = all_33_13 & v__1(all_33_13, nn, nn)) |
% 49.20/7.33 | (all_33_7 = all_33_13 & ~ v__1(all_33_13, prev_2,
% 49.20/7.33 | prev_2)))) | (all_33_7 = all_33_13 &
% 49.20/7.33 | object(all_33_13) & ~ v__1(all_33_13, prev_2, prev_2)))))
% 49.20/7.33 | & (( ~ (all_33_12 = nn) & v__1(sortedList_first, prev_2, nn) &
% 49.20/7.33 | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.33 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.33 | all_33_12, all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.20/7.33 | (v__1(null, all_33_12, all_33_12) & ~ v__1(null, nn, nn))))
% 49.20/7.33 | | ( ~ (all_33_12 = nn) & v__1(null, prev_2, all_33_12) &
% 49.20/7.33 | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.33 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.33 | all_33_12, all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.20/7.33 | (v__1(null, all_33_12, all_33_12) & ~ v__1(null, nn, nn))))
% 49.20/7.33 | | (v__1(sortedList_first, prev_2, all_33_12) &
% 49.20/7.33 | (v__1(sortedList_first, all_33_12, nn) |
% 49.20/7.33 | (v__1(sortedList_first, all_33_12, all_33_12) & ~
% 49.20/7.33 | v__1(sortedList_first, nn, nn)))) | ((all_33_12 = nn | ~
% 49.20/7.33 | v__1(sortedList_first, all_33_12, nn) | ( ~
% 49.20/7.33 | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.20/7.33 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.33 | all_33_12, all_33_12))) | ( ~ v__1(null, all_33_12,
% 49.20/7.33 | nn) & ( ~ v__1(null, all_33_12, all_33_12) | v__1(null,
% 49.20/7.33 | nn, nn)))) & (all_33_12 = nn | ~ v__1(null,
% 49.20/7.33 | all_33_12, all_33_12) | (v__1(null, nn, nn) & ~
% 49.20/7.33 | v__1(null, all_33_12, nn)) | ( ~ v__1(sortedList_first,
% 49.20/7.33 | nn, all_33_12) & ( ~ v__1(sortedList_first, nn, nn) |
% 49.20/7.33 | v__1(sortedList_first, all_33_12, all_33_12)))) & ( ~
% 49.20/7.33 | v__1(sortedList_first, all_33_12, all_33_12) |
% 49.20/7.33 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.33 | all_33_12, nn))) & (( ~ (prev_2 = nn) &
% 49.20/7.33 | v__1(sortedList_first, prev_2, nn) &
% 49.20/7.33 | (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.33 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.33 | v__1(sortedList_first, prev_2, prev_2))) & (v__1(null,
% 49.20/7.33 | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.33 | v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.20/7.33 | prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null,
% 49.20/7.33 | prev_2, nn)) & (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.33 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.33 | v__1(sortedList_first, prev_2, prev_2)))) |
% 49.20/7.33 | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.20/7.33 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.33 | prev_2, nn))))))) | ( ~ (all_33_12 = prev_2) &
% 49.20/7.33 | ((all_33_9 = all_33_13 & v__1(all_33_13, all_33_12, prev_2) &
% 49.20/7.33 | object(all_33_13) & ((all_33_10 = all_33_13 & all_33_11 =
% 49.20/7.33 | all_33_13 & v__1(all_33_13, prev_2, prev_2) & ~
% 49.20/7.33 | v__1(all_33_13, nn, nn)) | (all_33_11 = all_33_13 &
% 49.20/7.33 | v__1(all_33_13, prev_2, nn)))) | (all_33_11 = all_33_13 &
% 49.20/7.33 | ~ (prev_2 = nn) & v__1(all_33_13, all_33_12, nn) &
% 49.20/7.33 | object(all_33_13) & (v__1(null, prev_2, nn) | (v__1(null,
% 49.20/7.33 | prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_33_9 =
% 49.20/7.33 | all_33_13 & all_33_10 = all_33_13 & v__1(all_33_13, nn,
% 49.20/7.33 | nn) & ~ v__1(all_33_13, prev_2, prev_2)) | (all_33_10 =
% 49.20/7.33 | all_33_13 & v__1(all_33_13, nn, prev_2)))) | ( ~ (prev_2 =
% 49.20/7.33 | nn) & v__1(null, all_33_12, prev_2) & (v__1(null, prev_2,
% 49.20/7.33 | nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn,
% 49.20/7.33 | nn))) & ((all_33_10 = all_33_13 & all_33_11 = all_33_13
% 49.20/7.33 | & v__1(all_33_13, nn, nn) & object(all_33_13) & ~
% 49.20/7.33 | v__1(all_33_13, prev_2, prev_2)) | (all_33_11 = all_33_13
% 49.20/7.33 | & v__1(all_33_13, nn, prev_2) & object(all_33_13)))) |
% 49.20/7.33 | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_33_10 =
% 49.20/7.33 | all_33_13 & object(all_33_13) & ~ v__1(all_33_13, nn,
% 49.20/7.33 | prev_2) & ((all_33_11 = all_33_13 & v__1(all_33_13,
% 49.20/7.33 | prev_2, prev_2)) | (all_33_11 = all_33_13 & ~
% 49.20/7.33 | v__1(all_33_13, nn, nn)))) | (v__1(null, nn, nn) & ~
% 49.20/7.33 | v__1(null, prev_2, nn))) & (prev_2 = nn | (all_33_8 =
% 49.20/7.33 | all_33_13 & object(all_33_13) & ~ v__1(all_33_13, nn,
% 49.20/7.33 | prev_2) & ((all_33_9 = all_33_13 & v__1(all_33_13,
% 49.20/7.33 | prev_2, prev_2)) | (all_33_9 = all_33_13 & ~
% 49.20/7.33 | v__1(all_33_13, nn, nn)))) | (all_33_9 = all_33_13 &
% 49.20/7.33 | object(all_33_13) & ~ v__1(all_33_13, prev_2, nn)) | ( ~
% 49.20/7.33 | v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) |
% 49.20/7.33 | v__1(null, nn, nn)))) & ((all_33_3 = all_33_13 &
% 49.20/7.33 | v__1(all_33_13, all_33_12, all_33_12) & object(all_33_13)
% 49.20/7.33 | & ((all_33_4 = all_33_13 & all_33_5 = all_33_13 & ~
% 49.20/7.33 | v__1(all_33_13, nn, nn)) | (all_33_5 = all_33_13 &
% 49.20/7.33 | v__1(all_33_13, all_33_12, nn)))) | (all_33_5 =
% 49.20/7.33 | all_33_13 & ~ (all_33_12 = nn) & v__1(all_33_13,
% 49.20/7.34 | all_33_12, nn) & object(all_33_13) & (v__1(null,
% 49.20/7.34 | all_33_12, nn) | (v__1(null, all_33_12, all_33_12) &
% 49.20/7.34 | ~ v__1(null, nn, nn))) & ((all_33_3 = all_33_13 &
% 49.20/7.34 | all_33_4 = all_33_13 & v__1(all_33_13, nn, nn) & ~
% 49.20/7.34 | v__1(all_33_13, all_33_12, all_33_12)) | (all_33_4 =
% 49.20/7.34 | all_33_13 & v__1(all_33_13, nn, all_33_12)))) | ( ~
% 49.20/7.34 | (all_33_12 = nn) & v__1(null, all_33_12, all_33_12) & ( ~
% 49.20/7.34 | v__1(null, nn, nn) | v__1(null, all_33_12, nn)) &
% 49.20/7.34 | ((all_33_4 = all_33_13 & all_33_5 = all_33_13 &
% 49.20/7.34 | v__1(all_33_13, nn, nn) & object(all_33_13) & ~
% 49.20/7.34 | v__1(all_33_13, all_33_12, all_33_12)) | (all_33_5 =
% 49.20/7.34 | all_33_13 & v__1(all_33_13, nn, all_33_12) &
% 49.20/7.34 | object(all_33_13))))) & ((all_33_6 = all_33_13 &
% 49.20/7.34 | object(all_33_13) & ~ v__1(all_33_13, prev_2, nn) &
% 49.20/7.34 | ((all_33_7 = all_33_13 & v__1(all_33_13, nn, nn)) |
% 49.20/7.34 | (all_33_7 = all_33_13 & ~ v__1(all_33_13, prev_2,
% 49.20/7.34 | prev_2)))) | (all_33_7 = all_33_13 &
% 49.20/7.34 | object(all_33_13) & ~ v__1(all_33_13, prev_2, prev_2)))))
% 49.20/7.34 | & (( ~ (all_33_12 = nn) & v__1(sortedList_first, prev_2, nn) &
% 49.20/7.34 | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.34 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.34 | all_33_12, all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.20/7.34 | (v__1(null, all_33_12, all_33_12) & ~ v__1(null, nn, nn))))
% 49.20/7.34 | | ( ~ (all_33_12 = nn) & v__1(null, prev_2, all_33_12) &
% 49.20/7.34 | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.34 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.34 | all_33_12, all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.20/7.34 | (v__1(null, all_33_12, all_33_12) & ~ v__1(null, nn, nn))))
% 49.20/7.34 | | (v__1(sortedList_first, prev_2, all_33_12) &
% 49.20/7.34 | (v__1(sortedList_first, all_33_12, nn) |
% 49.20/7.34 | (v__1(sortedList_first, all_33_12, all_33_12) & ~
% 49.20/7.34 | v__1(sortedList_first, nn, nn)))) | ((all_33_12 = nn | ~
% 49.20/7.34 | v__1(sortedList_first, all_33_12, nn) | ( ~
% 49.20/7.34 | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.20/7.34 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.34 | all_33_12, all_33_12))) | ( ~ v__1(null, all_33_12,
% 49.20/7.34 | nn) & ( ~ v__1(null, all_33_12, all_33_12) | v__1(null,
% 49.20/7.34 | nn, nn)))) & (all_33_12 = nn | ~ v__1(null,
% 49.20/7.34 | all_33_12, all_33_12) | (v__1(null, nn, nn) & ~
% 49.20/7.34 | v__1(null, all_33_12, nn)) | ( ~ v__1(sortedList_first,
% 49.20/7.34 | nn, all_33_12) & ( ~ v__1(sortedList_first, nn, nn) |
% 49.20/7.34 | v__1(sortedList_first, all_33_12, all_33_12)))) & ( ~
% 49.20/7.34 | v__1(sortedList_first, all_33_12, all_33_12) |
% 49.20/7.34 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.34 | all_33_12, nn))) & (( ~ (prev_2 = nn) &
% 49.20/7.34 | v__1(sortedList_first, prev_2, nn) &
% 49.20/7.34 | (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.34 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.34 | v__1(sortedList_first, prev_2, prev_2))) & (v__1(null,
% 49.20/7.34 | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.34 | v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.20/7.34 | prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null,
% 49.20/7.34 | prev_2, nn)) & (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.34 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.34 | v__1(sortedList_first, prev_2, prev_2)))) |
% 49.20/7.34 | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.20/7.34 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.34 | prev_2, nn)))))) & (( ~ (prev_2 = nn) &
% 49.20/7.34 | v__1(sortedList_first, all_33_12, nn) &
% 49.20/7.34 | (v__1(sortedList_first, nn, prev_2) | (v__1(sortedList_first,
% 49.20/7.34 | nn, nn) & ~ v__1(sortedList_first, prev_2, prev_2))) &
% 49.20/7.34 | (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.34 | v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.20/7.34 | all_33_12, prev_2) & (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.34 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.34 | prev_2, prev_2))) & (v__1(null, prev_2, nn) |
% 49.20/7.34 | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) |
% 49.20/7.34 | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.20/7.34 | (v__1(sortedList_first, prev_2, nn) | (v__1(sortedList_first,
% 49.20/7.34 | prev_2, prev_2) & ~ v__1(sortedList_first, nn, nn))))))
% 49.20/7.34 | | ((( ~ (all_33_12 = nn) & v__1(sortedList_first, all_33_12, nn) &
% 49.20/7.34 | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.34 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.34 | all_33_12, all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.20/7.34 | (v__1(null, all_33_12, all_33_12) & ~ v__1(null, nn, nn))))
% 49.20/7.34 | | ( ~ (all_33_12 = nn) & v__1(null, all_33_12, all_33_12) & ( ~
% 49.20/7.34 | v__1(null, nn, nn) | v__1(null, all_33_12, nn)) &
% 49.20/7.34 | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.34 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.34 | all_33_12, all_33_12)))) | (v__1(sortedList_first,
% 49.20/7.34 | all_33_12, all_33_12) & ( ~ v__1(sortedList_first, nn, nn) |
% 49.20/7.34 | v__1(sortedList_first, all_33_12, nn)))) & (( ~ (prev_2 =
% 49.20/7.34 | nn) & v__1(sortedList_first, all_33_12, nn) &
% 49.20/7.34 | (v__1(sortedList_first, nn, prev_2) | (v__1(sortedList_first,
% 49.20/7.34 | nn, nn) & ~ v__1(sortedList_first, prev_2, prev_2))) &
% 49.20/7.34 | (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.34 | v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.20/7.34 | all_33_12, prev_2) & (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.34 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.34 | prev_2, prev_2))) & (v__1(null, prev_2, nn) |
% 49.20/7.34 | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) |
% 49.20/7.34 | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.20/7.34 | (v__1(sortedList_first, prev_2, nn) | (v__1(sortedList_first,
% 49.20/7.34 | prev_2, prev_2) & ~ v__1(sortedList_first, nn, nn)))) |
% 49.20/7.34 | ((prev_2 = nn | ~ v__1(sortedList_first, prev_2, nn) | ( ~
% 49.20/7.34 | v__1(sortedList_first, nn, prev_2) & ( ~
% 49.20/7.34 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.34 | prev_2, prev_2))) | ( ~ v__1(null, prev_2, nn) & ( ~
% 49.20/7.34 | v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) &
% 49.20/7.34 | (prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (v__1(null, nn,
% 49.20/7.34 | nn) & ~ v__1(null, prev_2, nn)) | ( ~
% 49.20/7.34 | v__1(sortedList_first, nn, prev_2) & ( ~
% 49.20/7.34 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.34 | prev_2, prev_2)))) & ( ~ v__1(sortedList_first,
% 49.20/7.34 | prev_2, prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.34 | v__1(sortedList_first, prev_2, nn))) & (( ~ (all_33_12 =
% 49.20/7.34 | nn) & v__1(sortedList_first, all_33_12, nn) &
% 49.20/7.34 | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.34 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.34 | v__1(sortedList_first, all_33_12, all_33_12))) &
% 49.20/7.34 | (v__1(null, all_33_12, nn) | (v__1(null, all_33_12,
% 49.20/7.34 | all_33_12) & ~ v__1(null, nn, nn)))) | ( ~
% 49.20/7.34 | (all_33_12 = nn) & v__1(null, all_33_12, all_33_12) & ( ~
% 49.20/7.34 | v__1(null, nn, nn) | v__1(null, all_33_12, nn)) &
% 49.20/7.34 | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.34 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.34 | v__1(sortedList_first, all_33_12, all_33_12)))) |
% 49.20/7.34 | (v__1(sortedList_first, all_33_12, all_33_12) & ( ~
% 49.20/7.34 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.34 | all_33_12, nn))))))))
% 49.20/7.34 |
% 49.20/7.34 | ALPHA: (29) implies:
% 49.20/7.34 | (30) ~ (all_33_12 = null)
% 49.20/7.34 | (31) object(all_33_12)
% 49.20/7.34 | (32) $i(all_33_12)
% 49.20/7.34 | (33) $i(all_33_1)
% 49.20/7.34 | (34) $i(all_33_0)
% 49.20/7.34 | (35) node_next(nn) = all_33_13
% 49.20/7.35 | (36) ( ~ (all_33_12 = prev_2) & ((all_33_0 = all_33_13 & v__1(all_33_13,
% 49.20/7.35 | all_33_12, all_33_12) & object(all_33_13) & ((all_33_1 =
% 49.20/7.35 | all_33_13 & all_33_2 = all_33_13 & ~ v__1(all_33_13, nn,
% 49.20/7.35 | nn)) | (all_33_2 = all_33_13 & v__1(all_33_13, all_33_12,
% 49.20/7.35 | nn)))) | (all_33_2 = all_33_13 & ~ (all_33_12 = nn) &
% 49.20/7.35 | v__1(all_33_13, all_33_12, nn) & object(all_33_13) & (v__1(null,
% 49.20/7.35 | all_33_12, nn) | (v__1(null, all_33_12, all_33_12) & ~
% 49.20/7.35 | v__1(null, nn, nn))) & ((all_33_0 = all_33_13 & all_33_1 =
% 49.20/7.35 | all_33_13 & v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.20/7.35 | all_33_12, all_33_12)) | (all_33_1 = all_33_13 &
% 49.20/7.35 | v__1(all_33_13, nn, all_33_12)))) | ( ~ (all_33_12 = nn) &
% 49.20/7.35 | v__1(null, all_33_12, all_33_12) & ( ~ v__1(null, nn, nn) |
% 49.20/7.35 | v__1(null, all_33_12, nn)) & ((all_33_1 = all_33_13 & all_33_2
% 49.20/7.35 | = all_33_13 & v__1(all_33_13, nn, nn) & object(all_33_13) &
% 49.20/7.35 | ~ v__1(all_33_13, all_33_12, all_33_12)) | (all_33_2 =
% 49.20/7.35 | all_33_13 & v__1(all_33_13, nn, all_33_12) &
% 49.20/7.35 | object(all_33_13))))) & ((all_33_9 = all_33_13 &
% 49.20/7.35 | v__1(all_33_13, all_33_12, prev_2) & object(all_33_13) &
% 49.20/7.35 | ((all_33_10 = all_33_13 & all_33_11 = all_33_13 &
% 49.20/7.35 | v__1(all_33_13, prev_2, prev_2) & ~ v__1(all_33_13, nn,
% 49.20/7.35 | nn)) | (all_33_11 = all_33_13 & v__1(all_33_13, prev_2,
% 49.20/7.35 | nn)))) | (all_33_11 = all_33_13 & ~ (prev_2 = nn) &
% 49.20/7.35 | v__1(all_33_13, all_33_12, nn) & object(all_33_13) & (v__1(null,
% 49.20/7.35 | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null,
% 49.20/7.35 | nn, nn))) & ((all_33_9 = all_33_13 & all_33_10 = all_33_13
% 49.20/7.35 | & v__1(all_33_13, nn, nn) & ~ v__1(all_33_13, prev_2,
% 49.20/7.35 | prev_2)) | (all_33_10 = all_33_13 & v__1(all_33_13, nn,
% 49.20/7.35 | prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_33_12,
% 49.20/7.35 | prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.20/7.35 | prev_2) & ~ v__1(null, nn, nn))) & ((all_33_10 =
% 49.20/7.35 | all_33_13 & all_33_11 = all_33_13 & v__1(all_33_13, nn, nn)
% 49.20/7.35 | & object(all_33_13) & ~ v__1(all_33_13, prev_2, prev_2)) |
% 49.20/7.35 | (all_33_11 = all_33_13 & v__1(all_33_13, nn, prev_2) &
% 49.20/7.35 | object(all_33_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2,
% 49.20/7.35 | prev_2) | (all_33_10 = all_33_13 & object(all_33_13) & ~
% 49.20/7.35 | v__1(all_33_13, nn, prev_2) & ((all_33_11 = all_33_13 &
% 49.20/7.35 | v__1(all_33_13, prev_2, prev_2)) | (all_33_11 =
% 49.20/7.35 | all_33_13 & ~ v__1(all_33_13, nn, nn)))) | (v__1(null,
% 49.20/7.35 | nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn |
% 49.20/7.35 | (all_33_8 = all_33_13 & object(all_33_13) & ~ v__1(all_33_13,
% 49.20/7.35 | nn, prev_2) & ((all_33_9 = all_33_13 & v__1(all_33_13,
% 49.20/7.35 | prev_2, prev_2)) | (all_33_9 = all_33_13 & ~
% 49.20/7.35 | v__1(all_33_13, nn, nn)))) | (all_33_9 = all_33_13 &
% 49.20/7.35 | object(all_33_13) & ~ v__1(all_33_13, prev_2, nn)) | ( ~
% 49.20/7.35 | v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) |
% 49.20/7.35 | v__1(null, nn, nn)))) & ((all_33_3 = all_33_13 &
% 49.20/7.35 | v__1(all_33_13, all_33_12, all_33_12) & object(all_33_13) &
% 49.20/7.35 | ((all_33_4 = all_33_13 & all_33_5 = all_33_13 & ~
% 49.20/7.35 | v__1(all_33_13, nn, nn)) | (all_33_5 = all_33_13 &
% 49.20/7.35 | v__1(all_33_13, all_33_12, nn)))) | (all_33_5 =
% 49.20/7.35 | all_33_13 & ~ (all_33_12 = nn) & v__1(all_33_13, all_33_12,
% 49.20/7.35 | nn) & object(all_33_13) & (v__1(null, all_33_12, nn) |
% 49.20/7.35 | (v__1(null, all_33_12, all_33_12) & ~ v__1(null, nn,
% 49.20/7.35 | nn))) & ((all_33_3 = all_33_13 & all_33_4 = all_33_13
% 49.20/7.35 | & v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.20/7.35 | all_33_12, all_33_12)) | (all_33_4 = all_33_13 &
% 49.20/7.35 | v__1(all_33_13, nn, all_33_12)))) | ( ~ (all_33_12 = nn)
% 49.20/7.35 | & v__1(null, all_33_12, all_33_12) & ( ~ v__1(null, nn, nn)
% 49.20/7.35 | | v__1(null, all_33_12, nn)) & ((all_33_4 = all_33_13 &
% 49.20/7.35 | all_33_5 = all_33_13 & v__1(all_33_13, nn, nn) &
% 49.20/7.35 | object(all_33_13) & ~ v__1(all_33_13, all_33_12,
% 49.20/7.35 | all_33_12)) | (all_33_5 = all_33_13 & v__1(all_33_13,
% 49.20/7.35 | nn, all_33_12) & object(all_33_13))))) & ((all_33_6 =
% 49.20/7.35 | all_33_13 & object(all_33_13) & ~ v__1(all_33_13, prev_2,
% 49.20/7.35 | nn) & ((all_33_7 = all_33_13 & v__1(all_33_13, nn, nn)) |
% 49.20/7.35 | (all_33_7 = all_33_13 & ~ v__1(all_33_13, prev_2,
% 49.20/7.35 | prev_2)))) | (all_33_7 = all_33_13 & object(all_33_13)
% 49.20/7.35 | & ~ v__1(all_33_13, prev_2, prev_2))))) & (( ~ (all_33_12 =
% 49.20/7.35 | nn) & v__1(sortedList_first, prev_2, nn) &
% 49.20/7.35 | (v__1(sortedList_first, nn, all_33_12) | (v__1(sortedList_first,
% 49.20/7.35 | nn, nn) & ~ v__1(sortedList_first, all_33_12,
% 49.20/7.35 | all_33_12))) & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.20/7.35 | all_33_12, all_33_12) & ~ v__1(null, nn, nn)))) | ( ~
% 49.20/7.35 | (all_33_12 = nn) & v__1(null, prev_2, all_33_12) &
% 49.20/7.35 | (v__1(sortedList_first, nn, all_33_12) | (v__1(sortedList_first,
% 49.20/7.35 | nn, nn) & ~ v__1(sortedList_first, all_33_12,
% 49.20/7.35 | all_33_12))) & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.20/7.35 | all_33_12, all_33_12) & ~ v__1(null, nn, nn)))) |
% 49.20/7.35 | (v__1(sortedList_first, prev_2, all_33_12) &
% 49.20/7.35 | (v__1(sortedList_first, all_33_12, nn) | (v__1(sortedList_first,
% 49.20/7.35 | all_33_12, all_33_12) & ~ v__1(sortedList_first, nn,
% 49.20/7.35 | nn)))) | ((all_33_12 = nn | ~ v__1(sortedList_first,
% 49.20/7.35 | all_33_12, nn) | ( ~ v__1(sortedList_first, nn, all_33_12) &
% 49.20/7.35 | ( ~ v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.35 | all_33_12, all_33_12))) | ( ~ v__1(null, all_33_12, nn)
% 49.20/7.35 | & ( ~ v__1(null, all_33_12, all_33_12) | v__1(null, nn,
% 49.20/7.35 | nn)))) & (all_33_12 = nn | ~ v__1(null, all_33_12,
% 49.20/7.35 | all_33_12) | (v__1(null, nn, nn) & ~ v__1(null, all_33_12,
% 49.20/7.35 | nn)) | ( ~ v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.20/7.35 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.35 | all_33_12, all_33_12)))) & ( ~ v__1(sortedList_first,
% 49.20/7.35 | all_33_12, all_33_12) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.35 | v__1(sortedList_first, all_33_12, nn))) & (( ~ (prev_2 = nn)
% 49.20/7.35 | & v__1(sortedList_first, prev_2, nn) &
% 49.20/7.35 | (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.35 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.35 | v__1(sortedList_first, prev_2, prev_2))) & (v__1(null,
% 49.20/7.35 | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.35 | v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.20/7.35 | prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null,
% 49.20/7.35 | prev_2, nn)) & (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.35 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.35 | v__1(sortedList_first, prev_2, prev_2)))) |
% 49.20/7.35 | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.20/7.35 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.35 | prev_2, nn))))))) | ( ~ (all_33_12 = prev_2) &
% 49.20/7.35 | ((all_33_9 = all_33_13 & v__1(all_33_13, all_33_12, prev_2) &
% 49.20/7.35 | object(all_33_13) & ((all_33_10 = all_33_13 & all_33_11 =
% 49.20/7.35 | all_33_13 & v__1(all_33_13, prev_2, prev_2) & ~
% 49.20/7.35 | v__1(all_33_13, nn, nn)) | (all_33_11 = all_33_13 &
% 49.20/7.35 | v__1(all_33_13, prev_2, nn)))) | (all_33_11 = all_33_13 & ~
% 49.20/7.35 | (prev_2 = nn) & v__1(all_33_13, all_33_12, nn) &
% 49.20/7.35 | object(all_33_13) & (v__1(null, prev_2, nn) | (v__1(null,
% 49.20/7.35 | prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_33_9 =
% 49.20/7.35 | all_33_13 & all_33_10 = all_33_13 & v__1(all_33_13, nn, nn)
% 49.20/7.35 | & ~ v__1(all_33_13, prev_2, prev_2)) | (all_33_10 =
% 49.20/7.35 | all_33_13 & v__1(all_33_13, nn, prev_2)))) | ( ~ (prev_2 =
% 49.20/7.35 | nn) & v__1(null, all_33_12, prev_2) & (v__1(null, prev_2, nn)
% 49.20/7.35 | | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) &
% 49.20/7.35 | ((all_33_10 = all_33_13 & all_33_11 = all_33_13 &
% 49.20/7.35 | v__1(all_33_13, nn, nn) & object(all_33_13) & ~
% 49.20/7.35 | v__1(all_33_13, prev_2, prev_2)) | (all_33_11 = all_33_13 &
% 49.20/7.35 | v__1(all_33_13, nn, prev_2) & object(all_33_13)))) |
% 49.20/7.35 | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_33_10 =
% 49.20/7.35 | all_33_13 & object(all_33_13) & ~ v__1(all_33_13, nn,
% 49.20/7.35 | prev_2) & ((all_33_11 = all_33_13 & v__1(all_33_13,
% 49.20/7.35 | prev_2, prev_2)) | (all_33_11 = all_33_13 & ~
% 49.20/7.35 | v__1(all_33_13, nn, nn)))) | (v__1(null, nn, nn) & ~
% 49.20/7.35 | v__1(null, prev_2, nn))) & (prev_2 = nn | (all_33_8 =
% 49.20/7.35 | all_33_13 & object(all_33_13) & ~ v__1(all_33_13, nn,
% 49.20/7.35 | prev_2) & ((all_33_9 = all_33_13 & v__1(all_33_13, prev_2,
% 49.20/7.35 | prev_2)) | (all_33_9 = all_33_13 & ~ v__1(all_33_13,
% 49.20/7.35 | nn, nn)))) | (all_33_9 = all_33_13 & object(all_33_13)
% 49.20/7.35 | & ~ v__1(all_33_13, prev_2, nn)) | ( ~ v__1(null, prev_2,
% 49.20/7.35 | nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn,
% 49.20/7.35 | nn)))) & ((all_33_3 = all_33_13 & v__1(all_33_13,
% 49.20/7.35 | all_33_12, all_33_12) & object(all_33_13) & ((all_33_4 =
% 49.20/7.35 | all_33_13 & all_33_5 = all_33_13 & ~ v__1(all_33_13,
% 49.20/7.35 | nn, nn)) | (all_33_5 = all_33_13 & v__1(all_33_13,
% 49.20/7.35 | all_33_12, nn)))) | (all_33_5 = all_33_13 & ~
% 49.20/7.35 | (all_33_12 = nn) & v__1(all_33_13, all_33_12, nn) &
% 49.20/7.35 | object(all_33_13) & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.20/7.35 | all_33_12, all_33_12) & ~ v__1(null, nn, nn))) &
% 49.20/7.35 | ((all_33_3 = all_33_13 & all_33_4 = all_33_13 &
% 49.20/7.35 | v__1(all_33_13, nn, nn) & ~ v__1(all_33_13, all_33_12,
% 49.20/7.35 | all_33_12)) | (all_33_4 = all_33_13 & v__1(all_33_13,
% 49.20/7.35 | nn, all_33_12)))) | ( ~ (all_33_12 = nn) & v__1(null,
% 49.20/7.35 | all_33_12, all_33_12) & ( ~ v__1(null, nn, nn) |
% 49.20/7.35 | v__1(null, all_33_12, nn)) & ((all_33_4 = all_33_13 &
% 49.20/7.35 | all_33_5 = all_33_13 & v__1(all_33_13, nn, nn) &
% 49.20/7.35 | object(all_33_13) & ~ v__1(all_33_13, all_33_12,
% 49.20/7.35 | all_33_12)) | (all_33_5 = all_33_13 & v__1(all_33_13,
% 49.20/7.35 | nn, all_33_12) & object(all_33_13))))) & ((all_33_6 =
% 49.20/7.35 | all_33_13 & object(all_33_13) & ~ v__1(all_33_13, prev_2,
% 49.20/7.35 | nn) & ((all_33_7 = all_33_13 & v__1(all_33_13, nn, nn)) |
% 49.20/7.35 | (all_33_7 = all_33_13 & ~ v__1(all_33_13, prev_2,
% 49.20/7.35 | prev_2)))) | (all_33_7 = all_33_13 & object(all_33_13)
% 49.20/7.35 | & ~ v__1(all_33_13, prev_2, prev_2))))) & (( ~ (all_33_12 =
% 49.20/7.35 | nn) & v__1(sortedList_first, prev_2, nn) &
% 49.20/7.35 | (v__1(sortedList_first, nn, all_33_12) | (v__1(sortedList_first,
% 49.20/7.35 | nn, nn) & ~ v__1(sortedList_first, all_33_12,
% 49.20/7.35 | all_33_12))) & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.20/7.35 | all_33_12, all_33_12) & ~ v__1(null, nn, nn)))) | ( ~
% 49.20/7.35 | (all_33_12 = nn) & v__1(null, prev_2, all_33_12) &
% 49.20/7.35 | (v__1(sortedList_first, nn, all_33_12) | (v__1(sortedList_first,
% 49.20/7.35 | nn, nn) & ~ v__1(sortedList_first, all_33_12,
% 49.20/7.35 | all_33_12))) & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.20/7.35 | all_33_12, all_33_12) & ~ v__1(null, nn, nn)))) |
% 49.20/7.35 | (v__1(sortedList_first, prev_2, all_33_12) &
% 49.20/7.35 | (v__1(sortedList_first, all_33_12, nn) | (v__1(sortedList_first,
% 49.20/7.35 | all_33_12, all_33_12) & ~ v__1(sortedList_first, nn,
% 49.20/7.35 | nn)))) | ((all_33_12 = nn | ~ v__1(sortedList_first,
% 49.20/7.35 | all_33_12, nn) | ( ~ v__1(sortedList_first, nn, all_33_12) &
% 49.20/7.35 | ( ~ v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.35 | all_33_12, all_33_12))) | ( ~ v__1(null, all_33_12, nn)
% 49.20/7.35 | & ( ~ v__1(null, all_33_12, all_33_12) | v__1(null, nn,
% 49.20/7.35 | nn)))) & (all_33_12 = nn | ~ v__1(null, all_33_12,
% 49.20/7.35 | all_33_12) | (v__1(null, nn, nn) & ~ v__1(null, all_33_12,
% 49.20/7.35 | nn)) | ( ~ v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.20/7.35 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.35 | all_33_12, all_33_12)))) & ( ~ v__1(sortedList_first,
% 49.20/7.35 | all_33_12, all_33_12) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.35 | v__1(sortedList_first, all_33_12, nn))) & (( ~ (prev_2 = nn)
% 49.20/7.35 | & v__1(sortedList_first, prev_2, nn) &
% 49.20/7.35 | (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.35 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.35 | v__1(sortedList_first, prev_2, prev_2))) & (v__1(null,
% 49.20/7.35 | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.35 | v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.20/7.35 | prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null,
% 49.20/7.35 | prev_2, nn)) & (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.35 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.35 | v__1(sortedList_first, prev_2, prev_2)))) |
% 49.20/7.35 | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.20/7.35 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.35 | prev_2, nn)))))) & (( ~ (prev_2 = nn) &
% 49.20/7.35 | v__1(sortedList_first, all_33_12, nn) & (v__1(sortedList_first,
% 49.20/7.35 | nn, prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.35 | v__1(sortedList_first, prev_2, prev_2))) & (v__1(null,
% 49.20/7.35 | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null,
% 49.20/7.35 | nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null, all_33_12,
% 49.20/7.35 | prev_2) & (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.35 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.35 | prev_2, prev_2))) & (v__1(null, prev_2, nn) | (v__1(null,
% 49.20/7.35 | prev_2, prev_2) & ~ v__1(null, nn, nn)))) |
% 49.20/7.35 | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.20/7.35 | (v__1(sortedList_first, prev_2, nn) | (v__1(sortedList_first,
% 49.20/7.35 | prev_2, prev_2) & ~ v__1(sortedList_first, nn, nn)))))) |
% 49.20/7.35 | ((( ~ (all_33_12 = nn) & v__1(sortedList_first, all_33_12, nn) &
% 49.20/7.35 | (v__1(sortedList_first, nn, all_33_12) | (v__1(sortedList_first,
% 49.20/7.35 | nn, nn) & ~ v__1(sortedList_first, all_33_12,
% 49.20/7.35 | all_33_12))) & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.20/7.35 | all_33_12, all_33_12) & ~ v__1(null, nn, nn)))) | ( ~
% 49.20/7.35 | (all_33_12 = nn) & v__1(null, all_33_12, all_33_12) & ( ~
% 49.20/7.35 | v__1(null, nn, nn) | v__1(null, all_33_12, nn)) &
% 49.20/7.35 | (v__1(sortedList_first, nn, all_33_12) | (v__1(sortedList_first,
% 49.20/7.35 | nn, nn) & ~ v__1(sortedList_first, all_33_12,
% 49.20/7.35 | all_33_12)))) | (v__1(sortedList_first, all_33_12,
% 49.20/7.35 | all_33_12) & ( ~ v__1(sortedList_first, nn, nn) |
% 49.20/7.35 | v__1(sortedList_first, all_33_12, nn)))) & (( ~ (prev_2 = nn)
% 49.20/7.35 | & v__1(sortedList_first, all_33_12, nn) &
% 49.20/7.35 | (v__1(sortedList_first, nn, prev_2) | (v__1(sortedList_first,
% 49.20/7.35 | nn, nn) & ~ v__1(sortedList_first, prev_2, prev_2))) &
% 49.20/7.35 | (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.35 | v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.20/7.35 | all_33_12, prev_2) & (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.35 | (v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first,
% 49.20/7.35 | prev_2, prev_2))) & (v__1(null, prev_2, nn) | (v__1(null,
% 49.20/7.35 | prev_2, prev_2) & ~ v__1(null, nn, nn)))) |
% 49.20/7.35 | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.20/7.35 | (v__1(sortedList_first, prev_2, nn) | (v__1(sortedList_first,
% 49.20/7.35 | prev_2, prev_2) & ~ v__1(sortedList_first, nn, nn)))) |
% 49.20/7.35 | ((prev_2 = nn | ~ v__1(sortedList_first, prev_2, nn) | ( ~
% 49.20/7.35 | v__1(sortedList_first, nn, prev_2) & ( ~
% 49.20/7.35 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.35 | prev_2, prev_2))) | ( ~ v__1(null, prev_2, nn) & ( ~
% 49.20/7.35 | v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) &
% 49.20/7.35 | (prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (v__1(null, nn,
% 49.20/7.35 | nn) & ~ v__1(null, prev_2, nn)) | ( ~
% 49.20/7.35 | v__1(sortedList_first, nn, prev_2) & ( ~
% 49.20/7.35 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.35 | prev_2, prev_2)))) & ( ~ v__1(sortedList_first, prev_2,
% 49.20/7.35 | prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.35 | v__1(sortedList_first, prev_2, nn))) & (( ~ (all_33_12 = nn)
% 49.20/7.35 | & v__1(sortedList_first, all_33_12, nn) &
% 49.20/7.35 | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.35 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.35 | v__1(sortedList_first, all_33_12, all_33_12))) &
% 49.20/7.35 | (v__1(null, all_33_12, nn) | (v__1(null, all_33_12,
% 49.20/7.35 | all_33_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_33_12
% 49.20/7.35 | = nn) & v__1(null, all_33_12, all_33_12) & ( ~ v__1(null,
% 49.20/7.35 | nn, nn) | v__1(null, all_33_12, nn)) &
% 49.20/7.35 | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.35 | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.35 | v__1(sortedList_first, all_33_12, all_33_12)))) |
% 49.20/7.35 | (v__1(sortedList_first, all_33_12, all_33_12) & ( ~
% 49.20/7.35 | v__1(sortedList_first, nn, nn) | v__1(sortedList_first,
% 49.20/7.35 | all_33_12, nn)))))))
% 49.20/7.35 | (37) all_33_12 = nn | ~ v__1(sortedList_first, all_33_12, all_33_12)
% 49.20/7.35 |
% 49.20/7.35 | BETA: splitting (12) gives:
% 49.20/7.35 |
% 49.20/7.35 | Case 1:
% 49.20/7.35 | |
% 49.20/7.35 | | (38) v__1(sortedList_first, prev_2, prev_2)
% 49.20/7.35 | |
% 49.20/7.35 | | BETA: splitting (13) gives:
% 49.20/7.35 | |
% 49.20/7.35 | | Case 1:
% 49.20/7.35 | | |
% 49.20/7.35 | | | (39) v__1(sortedList_first, nn, nn)
% 49.20/7.35 | | |
% 49.20/7.35 | | | BETA: splitting (24) gives:
% 49.20/7.35 | | |
% 49.20/7.35 | | | Case 1:
% 49.20/7.35 | | | |
% 49.20/7.35 | | | | (40) null = prev_2
% 49.20/7.35 | | | |
% 49.20/7.35 | | | | REDUCE: (10), (40) imply:
% 49.20/7.35 | | | | (41) $false
% 49.20/7.35 | | | |
% 49.20/7.35 | | | | CLOSE: (41) is inconsistent.
% 49.20/7.35 | | | |
% 49.20/7.35 | | | Case 2:
% 49.20/7.35 | | | |
% 49.20/7.35 | | | | (42) all_30_0 = nn & node_next(prev_2) = nn
% 49.20/7.35 | | | |
% 49.20/7.35 | | | | ALPHA: (42) implies:
% 49.20/7.35 | | | | (43) node_next(prev_2) = nn
% 49.20/7.35 | | | |
% 49.20/7.35 | | | | GROUND_INST: instantiating (hyp_tptp_5) with sortedList_first, nn,
% 49.20/7.35 | | | | prev_2, simplifying with (1), (2), (4), (18), (19), (21),
% 49.20/7.35 | | | | (38), (39) gives:
% 49.20/7.35 | | | | (44) v__1(sortedList_first, prev_2, nn) | v__1(sortedList_first, nn,
% 49.20/7.35 | | | | prev_2)
% 49.20/7.35 | | | |
% 49.20/7.35 | | | | GROUND_INST: instantiating (15) with nn, nn, all_31_0, simplifying with
% 49.20/7.35 | | | | (1), (18), (26), (27), (28), (39) gives:
% 49.20/7.35 | | | | (45) null = nn | ? [v0: $i] : (node_next(nn) = v0 & $i(v0) & ( ~
% 49.20/7.35 | | | | v__1(v0, nn, nn) | ~ object(v0)))
% 49.20/7.35 | | | |
% 49.20/7.35 | | | | GROUND_INST: instantiating (sort_info_node_next) with nn, all_33_13,
% 49.20/7.35 | | | | simplifying with (18), (35) gives:
% 49.20/7.35 | | | | (46) object(all_33_13)
% 49.20/7.35 | | | |
% 49.20/7.35 | | | | GROUND_INST: instantiating (hyp_tptp_10) with prev_2, nn, simplifying
% 49.20/7.35 | | | | with (1), (2), (18), (19), (43) gives:
% 49.20/7.35 | | | | (47) v__1(prev_2, nn, nn)
% 49.20/7.35 | | | |
% 49.20/7.35 | | | | BETA: splitting (45) gives:
% 49.20/7.35 | | | |
% 49.20/7.35 | | | | Case 1:
% 49.20/7.35 | | | | |
% 49.20/7.35 | | | | | (48) null = nn
% 49.20/7.35 | | | | |
% 49.20/7.35 | | | | | REDUCE: (16), (48) imply:
% 49.20/7.35 | | | | | (49) $false
% 49.20/7.35 | | | | |
% 49.20/7.35 | | | | | CLOSE: (49) is inconsistent.
% 49.20/7.35 | | | | |
% 49.20/7.35 | | | | Case 2:
% 49.20/7.35 | | | | |
% 49.20/7.35 | | | | | (50) ? [v0: $i] : (node_next(nn) = v0 & $i(v0) & ( ~ v__1(v0, nn,
% 49.20/7.35 | | | | | nn) | ~ object(v0)))
% 49.20/7.35 | | | | |
% 49.20/7.35 | | | | | DELTA: instantiating (50) with fresh symbol all_77_0 gives:
% 49.20/7.35 | | | | | (51) node_next(nn) = all_77_0 & $i(all_77_0) & ( ~ v__1(all_77_0,
% 49.20/7.35 | | | | | nn, nn) | ~ object(all_77_0))
% 49.20/7.35 | | | | |
% 49.20/7.35 | | | | | ALPHA: (51) implies:
% 49.20/7.35 | | | | | (52) $i(all_77_0)
% 49.20/7.35 | | | | | (53) node_next(nn) = all_77_0
% 49.20/7.35 | | | | | (54) ~ v__1(all_77_0, nn, nn) | ~ object(all_77_0)
% 49.20/7.35 | | | | |
% 49.20/7.35 | | | | | GROUND_INST: instantiating (23) with all_33_13, all_77_0, nn,
% 49.20/7.35 | | | | | simplifying with (35), (53) gives:
% 49.20/7.36 | | | | | (55) all_77_0 = all_33_13
% 49.20/7.36 | | | | |
% 49.20/7.36 | | | | | REDUCE: (52), (55) imply:
% 49.20/7.36 | | | | | (56) $i(all_33_13)
% 49.20/7.36 | | | | |
% 49.20/7.36 | | | | | BETA: splitting (54) gives:
% 49.20/7.36 | | | | |
% 49.20/7.36 | | | | | Case 1:
% 49.20/7.36 | | | | | |
% 49.20/7.36 | | | | | | (57) ~ v__1(all_77_0, nn, nn)
% 49.20/7.36 | | | | | |
% 49.20/7.36 | | | | | | REDUCE: (55), (57) imply:
% 49.20/7.36 | | | | | | (58) ~ v__1(all_33_13, nn, nn)
% 49.20/7.36 | | | | | |
% 49.20/7.36 | | | | | | GROUND_INST: instantiating (hyp_tptp_10) with nn, all_33_13,
% 49.20/7.36 | | | | | | simplifying with (1), (18), (35), (46), (56) gives:
% 49.20/7.36 | | | | | | (59) v__1(nn, all_33_13, all_33_13)
% 49.20/7.36 | | | | | |
% 49.20/7.36 | | | | | | GROUND_INST: instantiating (hyp_tptp_2) with sortedList_first, nn,
% 49.20/7.36 | | | | | | all_33_13, simplifying with (1), (4), (18), (21), (39),
% 49.20/7.36 | | | | | | (46), (56), (59) gives:
% 49.20/7.36 | | | | | | (60) v__1(sortedList_first, all_33_13, all_33_13)
% 49.20/7.36 | | | | | |
% 49.20/7.36 | | | | | | GROUND_INST: instantiating (hyp_tptp_2) with prev_2, nn, all_33_13,
% 49.20/7.36 | | | | | | simplifying with (1), (2), (18), (19), (46), (47),
% 49.20/7.36 | | | | | | (56), (59) gives:
% 49.20/7.36 | | | | | | (61) v__1(prev_2, all_33_13, all_33_13)
% 49.20/7.36 | | | | | |
% 49.20/7.36 | | | | | | GROUND_INST: instantiating (hyp_tptp_5) with prev_2, nn, all_33_13,
% 49.20/7.36 | | | | | | simplifying with (1), (2), (18), (19), (46), (47),
% 49.20/7.36 | | | | | | (56), (61) gives:
% 49.20/7.36 | | | | | | (62) v__1(prev_2, all_33_13, nn) | v__1(prev_2, nn, all_33_13)
% 49.20/7.36 | | | | | |
% 49.20/7.36 | | | | | | GROUND_INST: instantiating (hyp_tptp_5) with sortedList_first,
% 49.20/7.36 | | | | | | prev_2, all_33_13, simplifying with (2), (4), (19),
% 49.20/7.36 | | | | | | (21), (38), (46), (56), (60) gives:
% 49.20/7.36 | | | | | | (63) v__1(sortedList_first, all_33_13, prev_2) |
% 49.20/7.36 | | | | | | v__1(sortedList_first, prev_2, all_33_13)
% 49.20/7.36 | | | | | |
% 49.20/7.36 | | | | | | BETA: splitting (37) gives:
% 49.20/7.36 | | | | | |
% 49.20/7.36 | | | | | | Case 1:
% 49.20/7.36 | | | | | | |
% 49.20/7.36 | | | | | | | (64) ~ v__1(sortedList_first, all_33_12, all_33_12)
% 49.20/7.36 | | | | | | |
% 49.20/7.36 | | | | | | | BETA: splitting (36) gives:
% 49.20/7.36 | | | | | | |
% 49.20/7.36 | | | | | | | Case 1:
% 49.20/7.36 | | | | | | | |
% 49.20/7.36 | | | | | | | | (65) ~ (all_33_12 = prev_2) & ((all_33_0 = all_33_13 &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12) &
% 49.20/7.36 | | | | | | | | object(all_33_13) & ((all_33_1 = all_33_13 &
% 49.20/7.36 | | | | | | | | all_33_2 = all_33_13 & ~ v__1(all_33_13, nn,
% 49.20/7.36 | | | | | | | | nn)) | (all_33_2 = all_33_13 & v__1(all_33_13,
% 49.20/7.36 | | | | | | | | all_33_12, nn)))) | (all_33_2 = all_33_13 & ~
% 49.20/7.36 | | | | | | | | (all_33_12 = nn) & v__1(all_33_13, all_33_12, nn) &
% 49.20/7.36 | | | | | | | | object(all_33_13) & (v__1(null, all_33_12, nn) |
% 49.20/7.36 | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~ v__1(null,
% 49.20/7.36 | | | | | | | | nn, nn))) & ((all_33_0 = all_33_13 & all_33_1
% 49.20/7.36 | | | | | | | | = all_33_13 & v__1(all_33_13, nn, nn) & ~
% 49.20/7.36 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12)) |
% 49.20/7.36 | | | | | | | | (all_33_1 = all_33_13 & v__1(all_33_13, nn,
% 49.20/7.36 | | | | | | | | all_33_12)))) | ( ~ (all_33_12 = nn) &
% 49.20/7.36 | | | | | | | | v__1(null, all_33_12, all_33_12) & ( ~ v__1(null,
% 49.20/7.36 | | | | | | | | nn, nn) | v__1(null, all_33_12, nn)) &
% 49.20/7.36 | | | | | | | | ((all_33_1 = all_33_13 & all_33_2 = all_33_13 &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, nn, nn) & object(all_33_13) & ~
% 49.20/7.36 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12)) |
% 49.20/7.36 | | | | | | | | (all_33_2 = all_33_13 & v__1(all_33_13, nn,
% 49.20/7.36 | | | | | | | | all_33_12) & object(all_33_13))))) &
% 49.20/7.36 | | | | | | | | ((all_33_9 = all_33_13 & v__1(all_33_13, all_33_12,
% 49.20/7.36 | | | | | | | | prev_2) & object(all_33_13) & ((all_33_10 =
% 49.20/7.36 | | | | | | | | all_33_13 & all_33_11 = all_33_13 &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, prev_2, prev_2) & ~
% 49.20/7.36 | | | | | | | | v__1(all_33_13, nn, nn)) | (all_33_11 =
% 49.20/7.36 | | | | | | | | all_33_13 & v__1(all_33_13, prev_2, nn)))) |
% 49.20/7.36 | | | | | | | | (all_33_11 = all_33_13 & ~ (prev_2 = nn) &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, all_33_12, nn) & object(all_33_13) &
% 49.20/7.36 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.20/7.36 | | | | | | | | prev_2) & ~ v__1(null, nn, nn))) & ((all_33_9
% 49.20/7.36 | | | | | | | | = all_33_13 & all_33_10 = all_33_13 &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.20/7.36 | | | | | | | | prev_2, prev_2)) | (all_33_10 = all_33_13 &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, nn, prev_2)))) | ( ~ (prev_2 =
% 49.20/7.36 | | | | | | | | nn) & v__1(null, all_33_12, prev_2) & (v__1(null,
% 49.20/7.36 | | | | | | | | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.20/7.36 | | | | | | | | v__1(null, nn, nn))) & ((all_33_10 = all_33_13 &
% 49.20/7.36 | | | | | | | | all_33_11 = all_33_13 & v__1(all_33_13, nn, nn)
% 49.20/7.36 | | | | | | | | & object(all_33_13) & ~ v__1(all_33_13, prev_2,
% 49.20/7.36 | | | | | | | | prev_2)) | (all_33_11 = all_33_13 &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, nn, prev_2) &
% 49.20/7.36 | | | | | | | | object(all_33_13)))) | ((prev_2 = nn | ~
% 49.20/7.36 | | | | | | | | v__1(null, prev_2, prev_2) | (all_33_10 =
% 49.20/7.36 | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.20/7.36 | | | | | | | | v__1(all_33_13, nn, prev_2) & ((all_33_11 =
% 49.20/7.36 | | | | | | | | all_33_13 & v__1(all_33_13, prev_2, prev_2))
% 49.20/7.36 | | | | | | | | | (all_33_11 = all_33_13 & ~ v__1(all_33_13,
% 49.20/7.36 | | | | | | | | nn, nn)))) | (v__1(null, nn, nn) & ~
% 49.20/7.36 | | | | | | | | v__1(null, prev_2, nn))) & (prev_2 = nn |
% 49.20/7.36 | | | | | | | | (all_33_8 = all_33_13 & object(all_33_13) & ~
% 49.20/7.36 | | | | | | | | v__1(all_33_13, nn, prev_2) & ((all_33_9 =
% 49.20/7.36 | | | | | | | | all_33_13 & v__1(all_33_13, prev_2, prev_2))
% 49.20/7.36 | | | | | | | | | (all_33_9 = all_33_13 & ~ v__1(all_33_13,
% 49.20/7.36 | | | | | | | | nn, nn)))) | (all_33_9 = all_33_13 &
% 49.20/7.36 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13, prev_2,
% 49.20/7.36 | | | | | | | | nn)) | ( ~ v__1(null, prev_2, nn) & ( ~
% 49.20/7.36 | | | | | | | | v__1(null, prev_2, prev_2) | v__1(null, nn,
% 49.20/7.36 | | | | | | | | nn)))) & ((all_33_3 = all_33_13 &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12) &
% 49.20/7.36 | | | | | | | | object(all_33_13) & ((all_33_4 = all_33_13 &
% 49.20/7.36 | | | | | | | | all_33_5 = all_33_13 & ~ v__1(all_33_13,
% 49.20/7.36 | | | | | | | | nn, nn)) | (all_33_5 = all_33_13 &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, all_33_12, nn)))) |
% 49.20/7.36 | | | | | | | | (all_33_5 = all_33_13 & ~ (all_33_12 = nn) &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, all_33_12, nn) &
% 49.20/7.36 | | | | | | | | object(all_33_13) & (v__1(null, all_33_12, nn) |
% 49.20/7.36 | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.20/7.36 | | | | | | | | v__1(null, nn, nn))) & ((all_33_3 =
% 49.20/7.36 | | | | | | | | all_33_13 & all_33_4 = all_33_13 &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.20/7.36 | | | | | | | | all_33_12, all_33_12)) | (all_33_4 =
% 49.20/7.36 | | | | | | | | all_33_13 & v__1(all_33_13, nn,
% 49.20/7.36 | | | | | | | | all_33_12)))) | ( ~ (all_33_12 = nn) &
% 49.20/7.36 | | | | | | | | v__1(null, all_33_12, all_33_12) & ( ~
% 49.20/7.36 | | | | | | | | v__1(null, nn, nn) | v__1(null, all_33_12,
% 49.20/7.36 | | | | | | | | nn)) & ((all_33_4 = all_33_13 & all_33_5 =
% 49.20/7.36 | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn) &
% 49.20/7.36 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13,
% 49.20/7.36 | | | | | | | | all_33_12, all_33_12)) | (all_33_5 =
% 49.20/7.36 | | | | | | | | all_33_13 & v__1(all_33_13, nn, all_33_12) &
% 49.20/7.36 | | | | | | | | object(all_33_13))))) & ((all_33_6 =
% 49.20/7.36 | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.20/7.36 | | | | | | | | v__1(all_33_13, prev_2, nn) & ((all_33_7 =
% 49.20/7.36 | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn)) |
% 49.20/7.36 | | | | | | | | (all_33_7 = all_33_13 & ~ v__1(all_33_13,
% 49.20/7.36 | | | | | | | | prev_2, prev_2)))) | (all_33_7 = all_33_13
% 49.20/7.36 | | | | | | | | & object(all_33_13) & ~ v__1(all_33_13, prev_2,
% 49.20/7.36 | | | | | | | | prev_2))))) & (( ~ (all_33_12 = nn) &
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, prev_2, nn) &
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, all_33_12, all_33_12))) &
% 49.20/7.36 | | | | | | | | (v__1(null, all_33_12, nn) | (v__1(null, all_33_12,
% 49.20/7.36 | | | | | | | | all_33_12) & ~ v__1(null, nn, nn)))) | ( ~
% 49.20/7.36 | | | | | | | | (all_33_12 = nn) & v__1(null, prev_2, all_33_12) &
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, all_33_12, all_33_12))) &
% 49.20/7.36 | | | | | | | | (v__1(null, all_33_12, nn) | (v__1(null, all_33_12,
% 49.20/7.36 | | | | | | | | all_33_12) & ~ v__1(null, nn, nn)))) |
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, prev_2, all_33_12) &
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, all_33_12, nn) |
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12) & ~
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, nn, nn)))) | ((all_33_12
% 49.20/7.36 | | | | | | | | = nn | ~ v__1(sortedList_first, all_33_12, nn) |
% 49.20/7.36 | | | | | | | | ( ~ v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, all_33_12, all_33_12)))
% 49.20/7.36 | | | | | | | | | ( ~ v__1(null, all_33_12, nn) & ( ~ v__1(null,
% 49.20/7.36 | | | | | | | | all_33_12, all_33_12) | v__1(null, nn,
% 49.20/7.36 | | | | | | | | nn)))) & (all_33_12 = nn | ~ v__1(null,
% 49.20/7.36 | | | | | | | | all_33_12, all_33_12) | (v__1(null, nn, nn) & ~
% 49.20/7.36 | | | | | | | | v__1(null, all_33_12, nn)) | ( ~
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.20/7.36 | | | | | | | | all_33_12)))) & ( ~ v__1(sortedList_first,
% 49.20/7.36 | | | | | | | | all_33_12, all_33_12) | (v__1(sortedList_first,
% 49.20/7.36 | | | | | | | | nn, nn) & ~ v__1(sortedList_first, all_33_12,
% 49.20/7.36 | | | | | | | | nn))) & (( ~ (prev_2 = nn) &
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, prev_2, nn) &
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.20/7.36 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.20/7.36 | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.20/7.36 | | | | | | | | (prev_2 = nn) & v__1(null, prev_2, prev_2) & ( ~
% 49.20/7.36 | | | | | | | | v__1(null, nn, nn) | v__1(null, prev_2, nn)) &
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, prev_2, prev_2)))) |
% 49.20/7.36 | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.20/7.36 | | | | | | | | v__1(sortedList_first, prev_2, nn))))))
% 49.20/7.36 | | | | | | | |
% 49.20/7.36 | | | | | | | | ALPHA: (65) implies:
% 49.20/7.36 | | | | | | | | (66) (all_33_0 = all_33_13 & v__1(all_33_13, all_33_12,
% 49.20/7.36 | | | | | | | | all_33_12) & object(all_33_13) & ((all_33_1 =
% 49.20/7.36 | | | | | | | | all_33_13 & all_33_2 = all_33_13 & ~
% 49.20/7.36 | | | | | | | | v__1(all_33_13, nn, nn)) | (all_33_2 = all_33_13 &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, all_33_12, nn)))) | (all_33_2 =
% 49.20/7.36 | | | | | | | | all_33_13 & ~ (all_33_12 = nn) & v__1(all_33_13,
% 49.20/7.36 | | | | | | | | all_33_12, nn) & object(all_33_13) & (v__1(null,
% 49.20/7.36 | | | | | | | | all_33_12, nn) | (v__1(null, all_33_12, all_33_12)
% 49.20/7.36 | | | | | | | | & ~ v__1(null, nn, nn))) & ((all_33_0 = all_33_13
% 49.20/7.36 | | | | | | | | & all_33_1 = all_33_13 & v__1(all_33_13, nn, nn) &
% 49.20/7.36 | | | | | | | | ~ v__1(all_33_13, all_33_12, all_33_12)) |
% 49.20/7.36 | | | | | | | | (all_33_1 = all_33_13 & v__1(all_33_13, nn,
% 49.20/7.36 | | | | | | | | all_33_12)))) | ( ~ (all_33_12 = nn) &
% 49.20/7.36 | | | | | | | | v__1(null, all_33_12, all_33_12) & ( ~ v__1(null, nn,
% 49.20/7.36 | | | | | | | | nn) | v__1(null, all_33_12, nn)) & ((all_33_1 =
% 49.20/7.36 | | | | | | | | all_33_13 & all_33_2 = all_33_13 & v__1(all_33_13,
% 49.20/7.36 | | | | | | | | nn, nn) & object(all_33_13) & ~ v__1(all_33_13,
% 49.20/7.36 | | | | | | | | all_33_12, all_33_12)) | (all_33_2 = all_33_13 &
% 49.20/7.36 | | | | | | | | v__1(all_33_13, nn, all_33_12) &
% 49.20/7.36 | | | | | | | | object(all_33_13))))
% 49.20/7.36 | | | | | | | |
% 49.20/7.36 | | | | | | | | BETA: splitting (66) gives:
% 49.20/7.36 | | | | | | | |
% 49.20/7.36 | | | | | | | | Case 1:
% 49.20/7.36 | | | | | | | | |
% 49.20/7.36 | | | | | | | | | (67) all_33_0 = all_33_13 & v__1(all_33_13, all_33_12,
% 49.20/7.36 | | | | | | | | | all_33_12) & object(all_33_13) & ((all_33_1 =
% 49.20/7.36 | | | | | | | | | all_33_13 & all_33_2 = all_33_13 & ~
% 49.20/7.36 | | | | | | | | | v__1(all_33_13, nn, nn)) | (all_33_2 = all_33_13 &
% 49.20/7.36 | | | | | | | | | v__1(all_33_13, all_33_12, nn)))
% 49.20/7.36 | | | | | | | | |
% 49.20/7.36 | | | | | | | | | ALPHA: (67) implies:
% 49.20/7.36 | | | | | | | | | (68) all_33_0 = all_33_13
% 49.20/7.36 | | | | | | | | | (69) v__1(all_33_13, all_33_12, all_33_12)
% 49.20/7.36 | | | | | | | | |
% 49.20/7.36 | | | | | | | | | GROUND_INST: instantiating (hyp_tptp_2) with sortedList_first,
% 49.20/7.36 | | | | | | | | | all_33_13, all_33_12, simplifying with (4), (21),
% 49.20/7.36 | | | | | | | | | (31), (32), (46), (56), (60), (64), (69) gives:
% 49.20/7.36 | | | | | | | | | (70) $false
% 49.20/7.36 | | | | | | | | |
% 49.20/7.36 | | | | | | | | | CLOSE: (70) is inconsistent.
% 49.20/7.36 | | | | | | | | |
% 49.20/7.36 | | | | | | | | Case 2:
% 49.20/7.36 | | | | | | | | |
% 49.20/7.37 | | | | | | | | | (71) (all_33_2 = all_33_13 & ~ (all_33_12 = nn) &
% 49.20/7.37 | | | | | | | | | v__1(all_33_13, all_33_12, nn) & object(all_33_13) &
% 49.20/7.37 | | | | | | | | | (v__1(null, all_33_12, nn) | (v__1(null, all_33_12,
% 49.20/7.37 | | | | | | | | | all_33_12) & ~ v__1(null, nn, nn))) &
% 49.20/7.37 | | | | | | | | | ((all_33_0 = all_33_13 & all_33_1 = all_33_13 &
% 49.20/7.37 | | | | | | | | | v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.20/7.37 | | | | | | | | | all_33_12, all_33_12)) | (all_33_1 = all_33_13
% 49.20/7.37 | | | | | | | | | & v__1(all_33_13, nn, all_33_12)))) | ( ~
% 49.20/7.37 | | | | | | | | | (all_33_12 = nn) & v__1(null, all_33_12, all_33_12)
% 49.20/7.37 | | | | | | | | | & ( ~ v__1(null, nn, nn) | v__1(null, all_33_12,
% 49.20/7.37 | | | | | | | | | nn)) & ((all_33_1 = all_33_13 & all_33_2 =
% 49.20/7.37 | | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn) &
% 49.20/7.37 | | | | | | | | | object(all_33_13) & ~ v__1(all_33_13,
% 49.20/7.37 | | | | | | | | | all_33_12, all_33_12)) | (all_33_2 = all_33_13
% 49.20/7.37 | | | | | | | | | & v__1(all_33_13, nn, all_33_12) &
% 49.20/7.37 | | | | | | | | | object(all_33_13))))
% 49.20/7.37 | | | | | | | | |
% 49.20/7.37 | | | | | | | | | BETA: splitting (71) gives:
% 49.20/7.37 | | | | | | | | |
% 49.20/7.37 | | | | | | | | | Case 1:
% 49.20/7.37 | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | (72) all_33_2 = all_33_13 & ~ (all_33_12 = nn) &
% 49.20/7.37 | | | | | | | | | | v__1(all_33_13, all_33_12, nn) & object(all_33_13) &
% 49.20/7.37 | | | | | | | | | | (v__1(null, all_33_12, nn) | (v__1(null, all_33_12,
% 49.20/7.37 | | | | | | | | | | all_33_12) & ~ v__1(null, nn, nn))) &
% 49.20/7.37 | | | | | | | | | | ((all_33_0 = all_33_13 & all_33_1 = all_33_13 &
% 49.20/7.37 | | | | | | | | | | v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.20/7.37 | | | | | | | | | | all_33_12, all_33_12)) | (all_33_1 = all_33_13
% 49.20/7.37 | | | | | | | | | | & v__1(all_33_13, nn, all_33_12)))
% 49.20/7.37 | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | ALPHA: (72) implies:
% 49.20/7.37 | | | | | | | | | | (73) v__1(all_33_13, all_33_12, nn)
% 49.20/7.37 | | | | | | | | | | (74) (all_33_0 = all_33_13 & all_33_1 = all_33_13 &
% 49.20/7.37 | | | | | | | | | | v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.20/7.37 | | | | | | | | | | all_33_12, all_33_12)) | (all_33_1 = all_33_13 &
% 49.20/7.37 | | | | | | | | | | v__1(all_33_13, nn, all_33_12))
% 49.20/7.37 | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | BETA: splitting (74) gives:
% 49.20/7.37 | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | Case 1:
% 49.20/7.37 | | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | | (75) all_33_0 = all_33_13 & all_33_1 = all_33_13 &
% 49.20/7.37 | | | | | | | | | | | v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.20/7.37 | | | | | | | | | | | all_33_12, all_33_12)
% 49.20/7.37 | | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | | ALPHA: (75) implies:
% 49.20/7.37 | | | | | | | | | | | (76) v__1(all_33_13, nn, nn)
% 49.20/7.37 | | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | | PRED_UNIFY: (58), (76) imply:
% 49.20/7.37 | | | | | | | | | | | (77) $false
% 49.20/7.37 | | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | | CLOSE: (77) is inconsistent.
% 49.20/7.37 | | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | Case 2:
% 49.20/7.37 | | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | | (78) all_33_1 = all_33_13 & v__1(all_33_13, nn,
% 49.20/7.37 | | | | | | | | | | | all_33_12)
% 49.20/7.37 | | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | | ALPHA: (78) implies:
% 49.20/7.37 | | | | | | | | | | | (79) all_33_1 = all_33_13
% 49.20/7.37 | | | | | | | | | | |
% 49.20/7.37 | | | | | | | | | | | GROUND_INST: instantiating (8) with all_33_13, all_33_12, nn,
% 49.20/7.37 | | | | | | | | | | | simplifying with (1), (18), (31), (32), (46),
% 49.20/7.37 | | | | | | | | | | | (56), (73) gives:
% 49.58/7.37 | | | | | | | | | | | (80) v__1(all_33_13, all_33_12, all_33_12)
% 49.58/7.37 | | | | | | | | | | |
% 49.58/7.37 | | | | | | | | | | | GROUND_INST: instantiating (hyp_tptp_2) with sortedList_first,
% 49.58/7.37 | | | | | | | | | | | all_33_13, all_33_12, simplifying with (4), (21),
% 49.58/7.37 | | | | | | | | | | | (31), (32), (46), (56), (60), (64), (80) gives:
% 49.58/7.37 | | | | | | | | | | | (81) $false
% 49.58/7.37 | | | | | | | | | | |
% 49.58/7.37 | | | | | | | | | | | CLOSE: (81) is inconsistent.
% 49.58/7.37 | | | | | | | | | | |
% 49.58/7.37 | | | | | | | | | | End of split
% 49.58/7.37 | | | | | | | | | |
% 49.58/7.37 | | | | | | | | | Case 2:
% 49.58/7.37 | | | | | | | | | |
% 49.58/7.37 | | | | | | | | | | (82) ~ (all_33_12 = nn) & v__1(null, all_33_12,
% 49.58/7.37 | | | | | | | | | | all_33_12) & ( ~ v__1(null, nn, nn) | v__1(null,
% 49.58/7.37 | | | | | | | | | | all_33_12, nn)) & ((all_33_1 = all_33_13 &
% 49.58/7.37 | | | | | | | | | | all_33_2 = all_33_13 & v__1(all_33_13, nn, nn) &
% 49.58/7.37 | | | | | | | | | | object(all_33_13) & ~ v__1(all_33_13,
% 49.58/7.37 | | | | | | | | | | all_33_12, all_33_12)) | (all_33_2 = all_33_13
% 49.58/7.37 | | | | | | | | | | & v__1(all_33_13, nn, all_33_12) &
% 49.58/7.37 | | | | | | | | | | object(all_33_13)))
% 49.58/7.37 | | | | | | | | | |
% 49.58/7.37 | | | | | | | | | | ALPHA: (82) implies:
% 49.58/7.37 | | | | | | | | | | (83) v__1(null, all_33_12, all_33_12)
% 49.58/7.37 | | | | | | | | | |
% 49.58/7.37 | | | | | | | | | | GROUND_INST: instantiating (hyp_tptp_9) with null, all_33_12,
% 49.58/7.37 | | | | | | | | | | simplifying with (3), (17), (20), (31), (32), (83)
% 49.58/7.37 | | | | | | | | | | gives:
% 49.58/7.37 | | | | | | | | | | (84) all_33_12 = null
% 49.58/7.37 | | | | | | | | | |
% 49.58/7.37 | | | | | | | | | | REDUCE: (30), (84) imply:
% 49.58/7.37 | | | | | | | | | | (85) $false
% 49.58/7.37 | | | | | | | | | |
% 49.58/7.37 | | | | | | | | | | CLOSE: (85) is inconsistent.
% 49.58/7.37 | | | | | | | | | |
% 49.58/7.37 | | | | | | | | | End of split
% 49.58/7.37 | | | | | | | | |
% 49.58/7.37 | | | | | | | | End of split
% 49.58/7.37 | | | | | | | |
% 49.58/7.37 | | | | | | | Case 2:
% 49.58/7.37 | | | | | | | |
% 49.58/7.37 | | | | | | | | (86) ( ~ (all_33_12 = prev_2) & ((all_33_9 = all_33_13 &
% 49.58/7.37 | | | | | | | | v__1(all_33_13, all_33_12, prev_2) &
% 49.58/7.37 | | | | | | | | object(all_33_13) & ((all_33_10 = all_33_13 &
% 49.58/7.37 | | | | | | | | all_33_11 = all_33_13 & v__1(all_33_13,
% 49.58/7.37 | | | | | | | | prev_2, prev_2) & ~ v__1(all_33_13, nn,
% 49.58/7.37 | | | | | | | | nn)) | (all_33_11 = all_33_13 &
% 49.58/7.37 | | | | | | | | v__1(all_33_13, prev_2, nn)))) | (all_33_11 =
% 49.58/7.37 | | | | | | | | all_33_13 & ~ (prev_2 = nn) & v__1(all_33_13,
% 49.58/7.37 | | | | | | | | all_33_12, nn) & object(all_33_13) & (v__1(null,
% 49.58/7.37 | | | | | | | | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.58/7.37 | | | | | | | | v__1(null, nn, nn))) & ((all_33_9 = all_33_13
% 49.58/7.37 | | | | | | | | & all_33_10 = all_33_13 & v__1(all_33_13, nn,
% 49.58/7.37 | | | | | | | | nn) & ~ v__1(all_33_13, prev_2, prev_2)) |
% 49.58/7.37 | | | | | | | | (all_33_10 = all_33_13 & v__1(all_33_13, nn,
% 49.58/7.37 | | | | | | | | prev_2)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.58/7.37 | | | | | | | | all_33_12, prev_2) & (v__1(null, prev_2, nn) |
% 49.58/7.37 | | | | | | | | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn,
% 49.58/7.37 | | | | | | | | nn))) & ((all_33_10 = all_33_13 & all_33_11
% 49.58/7.37 | | | | | | | | = all_33_13 & v__1(all_33_13, nn, nn) &
% 49.58/7.37 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13, prev_2,
% 49.58/7.37 | | | | | | | | prev_2)) | (all_33_11 = all_33_13 &
% 49.58/7.37 | | | | | | | | v__1(all_33_13, nn, prev_2) &
% 49.58/7.37 | | | | | | | | object(all_33_13)))) | ((prev_2 = nn | ~
% 49.58/7.37 | | | | | | | | v__1(null, prev_2, prev_2) | (all_33_10 =
% 49.58/7.37 | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.58/7.37 | | | | | | | | v__1(all_33_13, nn, prev_2) & ((all_33_11 =
% 49.58/7.37 | | | | | | | | all_33_13 & v__1(all_33_13, prev_2,
% 49.58/7.37 | | | | | | | | prev_2)) | (all_33_11 = all_33_13 & ~
% 49.58/7.37 | | | | | | | | v__1(all_33_13, nn, nn)))) | (v__1(null,
% 49.58/7.37 | | | | | | | | nn, nn) & ~ v__1(null, prev_2, nn))) &
% 49.58/7.37 | | | | | | | | (prev_2 = nn | (all_33_8 = all_33_13 &
% 49.58/7.37 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13, nn,
% 49.58/7.37 | | | | | | | | prev_2) & ((all_33_9 = all_33_13 &
% 49.58/7.37 | | | | | | | | v__1(all_33_13, prev_2, prev_2)) |
% 49.58/7.37 | | | | | | | | (all_33_9 = all_33_13 & ~ v__1(all_33_13,
% 49.58/7.37 | | | | | | | | nn, nn)))) | (all_33_9 = all_33_13 &
% 49.58/7.37 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13, prev_2,
% 49.58/7.37 | | | | | | | | nn)) | ( ~ v__1(null, prev_2, nn) & ( ~
% 49.58/7.37 | | | | | | | | v__1(null, prev_2, prev_2) | v__1(null, nn,
% 49.58/7.37 | | | | | | | | nn)))) & ((all_33_3 = all_33_13 &
% 49.58/7.37 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12) &
% 49.58/7.37 | | | | | | | | object(all_33_13) & ((all_33_4 = all_33_13 &
% 49.58/7.37 | | | | | | | | all_33_5 = all_33_13 & ~ v__1(all_33_13,
% 49.58/7.37 | | | | | | | | nn, nn)) | (all_33_5 = all_33_13 &
% 49.58/7.37 | | | | | | | | v__1(all_33_13, all_33_12, nn)))) |
% 49.58/7.37 | | | | | | | | (all_33_5 = all_33_13 & ~ (all_33_12 = nn) &
% 49.58/7.37 | | | | | | | | v__1(all_33_13, all_33_12, nn) &
% 49.58/7.37 | | | | | | | | object(all_33_13) & (v__1(null, all_33_12, nn)
% 49.58/7.37 | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.58/7.37 | | | | | | | | v__1(null, nn, nn))) & ((all_33_3 =
% 49.58/7.37 | | | | | | | | all_33_13 & all_33_4 = all_33_13 &
% 49.58/7.37 | | | | | | | | v__1(all_33_13, nn, nn) & ~
% 49.58/7.37 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12)) |
% 49.58/7.37 | | | | | | | | (all_33_4 = all_33_13 & v__1(all_33_13, nn,
% 49.58/7.37 | | | | | | | | all_33_12)))) | ( ~ (all_33_12 = nn) &
% 49.58/7.37 | | | | | | | | v__1(null, all_33_12, all_33_12) & ( ~
% 49.58/7.37 | | | | | | | | v__1(null, nn, nn) | v__1(null, all_33_12,
% 49.58/7.37 | | | | | | | | nn)) & ((all_33_4 = all_33_13 & all_33_5 =
% 49.58/7.37 | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn) &
% 49.58/7.37 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13,
% 49.58/7.37 | | | | | | | | all_33_12, all_33_12)) | (all_33_5 =
% 49.58/7.37 | | | | | | | | all_33_13 & v__1(all_33_13, nn, all_33_12)
% 49.58/7.37 | | | | | | | | & object(all_33_13))))) & ((all_33_6 =
% 49.58/7.37 | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.58/7.37 | | | | | | | | v__1(all_33_13, prev_2, nn) & ((all_33_7 =
% 49.58/7.37 | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn)) |
% 49.58/7.37 | | | | | | | | (all_33_7 = all_33_13 & ~ v__1(all_33_13,
% 49.58/7.37 | | | | | | | | prev_2, prev_2)))) | (all_33_7 =
% 49.58/7.37 | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.58/7.37 | | | | | | | | v__1(all_33_13, prev_2, prev_2))))) & (( ~
% 49.58/7.37 | | | | | | | | (all_33_12 = nn) & v__1(sortedList_first, prev_2,
% 49.58/7.37 | | | | | | | | nn) & (v__1(sortedList_first, nn, all_33_12) |
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, all_33_12, all_33_12)))
% 49.58/7.37 | | | | | | | | & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.58/7.37 | | | | | | | | all_33_12, all_33_12) & ~ v__1(null, nn,
% 49.58/7.37 | | | | | | | | nn)))) | ( ~ (all_33_12 = nn) & v__1(null,
% 49.58/7.37 | | | | | | | | prev_2, all_33_12) & (v__1(sortedList_first, nn,
% 49.58/7.37 | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn) &
% 49.58/7.37 | | | | | | | | ~ v__1(sortedList_first, all_33_12,
% 49.58/7.37 | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.58/7.37 | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.58/7.37 | | | | | | | | v__1(null, nn, nn)))) |
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, prev_2, all_33_12) &
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, all_33_12, nn) |
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12) &
% 49.58/7.37 | | | | | | | | ~ v__1(sortedList_first, nn, nn)))) |
% 49.58/7.37 | | | | | | | | ((all_33_12 = nn | ~ v__1(sortedList_first,
% 49.58/7.37 | | | | | | | | all_33_12, nn) | ( ~ v__1(sortedList_first,
% 49.58/7.37 | | | | | | | | nn, all_33_12) & ( ~ v__1(sortedList_first,
% 49.58/7.37 | | | | | | | | nn, nn) | v__1(sortedList_first,
% 49.58/7.37 | | | | | | | | all_33_12, all_33_12))) | ( ~ v__1(null,
% 49.58/7.37 | | | | | | | | all_33_12, nn) & ( ~ v__1(null, all_33_12,
% 49.58/7.37 | | | | | | | | all_33_12) | v__1(null, nn, nn)))) &
% 49.58/7.37 | | | | | | | | (all_33_12 = nn | ~ v__1(null, all_33_12,
% 49.58/7.37 | | | | | | | | all_33_12) | (v__1(null, nn, nn) & ~
% 49.58/7.37 | | | | | | | | v__1(null, all_33_12, nn)) | ( ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.58/7.37 | | | | | | | | all_33_12)))) & ( ~ v__1(sortedList_first,
% 49.58/7.37 | | | | | | | | all_33_12, all_33_12) |
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, all_33_12, nn))) & (( ~
% 49.58/7.37 | | | | | | | | (prev_2 = nn) & v__1(sortedList_first, prev_2,
% 49.58/7.37 | | | | | | | | nn) & (v__1(sortedList_first, nn, prev_2) |
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.37 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.37 | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.58/7.37 | | | | | | | | (prev_2 = nn) & v__1(null, prev_2, prev_2) & (
% 49.58/7.37 | | | | | | | | ~ v__1(null, nn, nn) | v__1(null, prev_2,
% 49.58/7.37 | | | | | | | | nn)) & (v__1(sortedList_first, nn, prev_2)
% 49.58/7.37 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))))
% 49.58/7.37 | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, prev_2, nn)))))) & ((
% 49.58/7.37 | | | | | | | | ~ (prev_2 = nn) & v__1(sortedList_first,
% 49.58/7.37 | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.58/7.37 | | | | | | | | prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.37 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.37 | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.58/7.37 | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.37 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.37 | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, nn, nn)))))) | ((( ~
% 49.58/7.37 | | | | | | | | (all_33_12 = nn) & v__1(sortedList_first,
% 49.58/7.37 | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.58/7.37 | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn) &
% 49.58/7.37 | | | | | | | | ~ v__1(sortedList_first, all_33_12,
% 49.58/7.37 | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.58/7.37 | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.58/7.37 | | | | | | | | v__1(null, nn, nn)))) | ( ~ (all_33_12 = nn) &
% 49.58/7.37 | | | | | | | | v__1(null, all_33_12, all_33_12) & ( ~ v__1(null,
% 49.58/7.37 | | | | | | | | nn, nn) | v__1(null, all_33_12, nn)) &
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.58/7.37 | | | | | | | | all_33_12)))) | (v__1(sortedList_first,
% 49.58/7.37 | | | | | | | | all_33_12, all_33_12) & ( ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, all_33_12, nn)))) & (( ~
% 49.58/7.37 | | | | | | | | (prev_2 = nn) & v__1(sortedList_first, all_33_12,
% 49.58/7.37 | | | | | | | | nn) & (v__1(sortedList_first, nn, prev_2) |
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.37 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.37 | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.58/7.37 | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.58/7.37 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.37 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.37 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.37 | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.58/7.38 | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.58/7.38 | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.58/7.38 | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.58/7.38 | | | | | | | | v__1(sortedList_first, nn, nn)))) | ((prev_2 =
% 49.58/7.38 | | | | | | | | nn | ~ v__1(sortedList_first, prev_2, nn) | ( ~
% 49.58/7.38 | | | | | | | | v__1(sortedList_first, nn, prev_2) & ( ~
% 49.58/7.38 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.58/7.38 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) | (
% 49.58/7.38 | | | | | | | | ~ v__1(null, prev_2, nn) & ( ~ v__1(null,
% 49.58/7.38 | | | | | | | | prev_2, prev_2) | v__1(null, nn, nn)))) &
% 49.58/7.38 | | | | | | | | (prev_2 = nn | ~ v__1(null, prev_2, prev_2) |
% 49.58/7.38 | | | | | | | | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))
% 49.58/7.38 | | | | | | | | | ( ~ v__1(sortedList_first, nn, prev_2) & ( ~
% 49.58/7.38 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.58/7.38 | | | | | | | | v__1(sortedList_first, prev_2, prev_2)))) &
% 49.58/7.38 | | | | | | | | ( ~ v__1(sortedList_first, prev_2, prev_2) |
% 49.58/7.38 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | v__1(sortedList_first, prev_2, nn))) & (( ~
% 49.58/7.38 | | | | | | | | (all_33_12 = nn) & v__1(sortedList_first,
% 49.58/7.38 | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.58/7.38 | | | | | | | | all_33_12) | (v__1(sortedList_first, nn,
% 49.58/7.38 | | | | | | | | nn) & ~ v__1(sortedList_first,
% 49.58/7.38 | | | | | | | | all_33_12, all_33_12))) & (v__1(null,
% 49.58/7.38 | | | | | | | | all_33_12, nn) | (v__1(null, all_33_12,
% 49.58/7.38 | | | | | | | | all_33_12) & ~ v__1(null, nn, nn)))) |
% 49.58/7.38 | | | | | | | | ( ~ (all_33_12 = nn) & v__1(null, all_33_12,
% 49.58/7.38 | | | | | | | | all_33_12) & ( ~ v__1(null, nn, nn) |
% 49.58/7.38 | | | | | | | | v__1(null, all_33_12, nn)) &
% 49.58/7.38 | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.58/7.38 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.58/7.38 | | | | | | | | all_33_12)))) | (v__1(sortedList_first,
% 49.58/7.38 | | | | | | | | all_33_12, all_33_12) & ( ~
% 49.58/7.38 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.58/7.38 | | | | | | | | v__1(sortedList_first, all_33_12, nn)))))))
% 49.58/7.38 | | | | | | | |
% 49.58/7.38 | | | | | | | | BETA: splitting (86) gives:
% 49.58/7.38 | | | | | | | |
% 49.58/7.38 | | | | | | | | Case 1:
% 49.58/7.38 | | | | | | | | |
% 49.58/7.38 | | | | | | | | | (87) ~ (all_33_12 = prev_2) & ((all_33_9 = all_33_13 &
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, all_33_12, prev_2) &
% 49.58/7.38 | | | | | | | | | object(all_33_13) & ((all_33_10 = all_33_13 &
% 49.58/7.38 | | | | | | | | | all_33_11 = all_33_13 & v__1(all_33_13,
% 49.58/7.38 | | | | | | | | | prev_2, prev_2) & ~ v__1(all_33_13, nn,
% 49.58/7.38 | | | | | | | | | nn)) | (all_33_11 = all_33_13 &
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, prev_2, nn)))) | (all_33_11 =
% 49.58/7.38 | | | | | | | | | all_33_13 & ~ (prev_2 = nn) & v__1(all_33_13,
% 49.58/7.38 | | | | | | | | | all_33_12, nn) & object(all_33_13) & (v__1(null,
% 49.58/7.38 | | | | | | | | | prev_2, nn) | (v__1(null, prev_2, prev_2) & ~
% 49.58/7.38 | | | | | | | | | v__1(null, nn, nn))) & ((all_33_9 = all_33_13
% 49.58/7.38 | | | | | | | | | & all_33_10 = all_33_13 & v__1(all_33_13, nn,
% 49.58/7.38 | | | | | | | | | nn) & ~ v__1(all_33_13, prev_2, prev_2)) |
% 49.58/7.38 | | | | | | | | | (all_33_10 = all_33_13 & v__1(all_33_13, nn,
% 49.58/7.38 | | | | | | | | | prev_2)))) | ( ~ (prev_2 = nn) & v__1(null,
% 49.58/7.38 | | | | | | | | | all_33_12, prev_2) & (v__1(null, prev_2, nn) |
% 49.58/7.38 | | | | | | | | | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn,
% 49.58/7.38 | | | | | | | | | nn))) & ((all_33_10 = all_33_13 & all_33_11
% 49.58/7.38 | | | | | | | | | = all_33_13 & v__1(all_33_13, nn, nn) &
% 49.58/7.38 | | | | | | | | | object(all_33_13) & ~ v__1(all_33_13, prev_2,
% 49.58/7.38 | | | | | | | | | prev_2)) | (all_33_11 = all_33_13 &
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, nn, prev_2) &
% 49.58/7.38 | | | | | | | | | object(all_33_13)))) | ((prev_2 = nn | ~
% 49.58/7.38 | | | | | | | | | v__1(null, prev_2, prev_2) | (all_33_10 =
% 49.58/7.38 | | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, nn, prev_2) & ((all_33_11 =
% 49.58/7.38 | | | | | | | | | all_33_13 & v__1(all_33_13, prev_2,
% 49.58/7.38 | | | | | | | | | prev_2)) | (all_33_11 = all_33_13 & ~
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, nn, nn)))) | (v__1(null,
% 49.58/7.38 | | | | | | | | | nn, nn) & ~ v__1(null, prev_2, nn))) &
% 49.58/7.38 | | | | | | | | | (prev_2 = nn | (all_33_8 = all_33_13 &
% 49.58/7.38 | | | | | | | | | object(all_33_13) & ~ v__1(all_33_13, nn,
% 49.58/7.38 | | | | | | | | | prev_2) & ((all_33_9 = all_33_13 &
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, prev_2, prev_2)) |
% 49.58/7.38 | | | | | | | | | (all_33_9 = all_33_13 & ~ v__1(all_33_13,
% 49.58/7.38 | | | | | | | | | nn, nn)))) | (all_33_9 = all_33_13 &
% 49.58/7.38 | | | | | | | | | object(all_33_13) & ~ v__1(all_33_13, prev_2,
% 49.58/7.38 | | | | | | | | | nn)) | ( ~ v__1(null, prev_2, nn) & ( ~
% 49.58/7.38 | | | | | | | | | v__1(null, prev_2, prev_2) | v__1(null, nn,
% 49.58/7.38 | | | | | | | | | nn)))) & ((all_33_3 = all_33_13 &
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, all_33_12, all_33_12) &
% 49.58/7.38 | | | | | | | | | object(all_33_13) & ((all_33_4 = all_33_13 &
% 49.58/7.38 | | | | | | | | | all_33_5 = all_33_13 & ~ v__1(all_33_13,
% 49.58/7.38 | | | | | | | | | nn, nn)) | (all_33_5 = all_33_13 &
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, all_33_12, nn)))) |
% 49.58/7.38 | | | | | | | | | (all_33_5 = all_33_13 & ~ (all_33_12 = nn) &
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, all_33_12, nn) &
% 49.58/7.38 | | | | | | | | | object(all_33_13) & (v__1(null, all_33_12, nn)
% 49.58/7.38 | | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.58/7.38 | | | | | | | | | v__1(null, nn, nn))) & ((all_33_3 =
% 49.58/7.38 | | | | | | | | | all_33_13 & all_33_4 = all_33_13 &
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, all_33_12, all_33_12)) |
% 49.58/7.38 | | | | | | | | | (all_33_4 = all_33_13 & v__1(all_33_13, nn,
% 49.58/7.38 | | | | | | | | | all_33_12)))) | ( ~ (all_33_12 = nn) &
% 49.58/7.38 | | | | | | | | | v__1(null, all_33_12, all_33_12) & ( ~
% 49.58/7.38 | | | | | | | | | v__1(null, nn, nn) | v__1(null, all_33_12,
% 49.58/7.38 | | | | | | | | | nn)) & ((all_33_4 = all_33_13 & all_33_5 =
% 49.58/7.38 | | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn) &
% 49.58/7.38 | | | | | | | | | object(all_33_13) & ~ v__1(all_33_13,
% 49.58/7.38 | | | | | | | | | all_33_12, all_33_12)) | (all_33_5 =
% 49.58/7.38 | | | | | | | | | all_33_13 & v__1(all_33_13, nn, all_33_12)
% 49.58/7.38 | | | | | | | | | & object(all_33_13))))) & ((all_33_6 =
% 49.58/7.38 | | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, prev_2, nn) & ((all_33_7 =
% 49.58/7.38 | | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn)) |
% 49.58/7.38 | | | | | | | | | (all_33_7 = all_33_13 & ~ v__1(all_33_13,
% 49.58/7.38 | | | | | | | | | prev_2, prev_2)))) | (all_33_7 =
% 49.58/7.38 | | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.58/7.38 | | | | | | | | | v__1(all_33_13, prev_2, prev_2))))) & (( ~
% 49.58/7.38 | | | | | | | | | (all_33_12 = nn) & v__1(sortedList_first, prev_2,
% 49.58/7.38 | | | | | | | | | nn) & (v__1(sortedList_first, nn, all_33_12) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, all_33_12, all_33_12)))
% 49.58/7.38 | | | | | | | | | & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.58/7.38 | | | | | | | | | all_33_12, all_33_12) & ~ v__1(null, nn,
% 49.58/7.38 | | | | | | | | | nn)))) | ( ~ (all_33_12 = nn) & v__1(null,
% 49.58/7.38 | | | | | | | | | prev_2, all_33_12) & (v__1(sortedList_first, nn,
% 49.58/7.38 | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn) &
% 49.58/7.38 | | | | | | | | | ~ v__1(sortedList_first, all_33_12,
% 49.58/7.38 | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.58/7.38 | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.58/7.38 | | | | | | | | | v__1(null, nn, nn)))) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, prev_2, all_33_12) &
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, all_33_12, nn) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12) &
% 49.58/7.38 | | | | | | | | | ~ v__1(sortedList_first, nn, nn)))) |
% 49.58/7.38 | | | | | | | | | ((all_33_12 = nn | ~ v__1(sortedList_first,
% 49.58/7.38 | | | | | | | | | all_33_12, nn) | ( ~ v__1(sortedList_first,
% 49.58/7.38 | | | | | | | | | nn, all_33_12) & ( ~ v__1(sortedList_first,
% 49.58/7.38 | | | | | | | | | nn, nn) | v__1(sortedList_first,
% 49.58/7.38 | | | | | | | | | all_33_12, all_33_12))) | ( ~ v__1(null,
% 49.58/7.38 | | | | | | | | | all_33_12, nn) & ( ~ v__1(null, all_33_12,
% 49.58/7.38 | | | | | | | | | all_33_12) | v__1(null, nn, nn)))) &
% 49.58/7.38 | | | | | | | | | (all_33_12 = nn | ~ v__1(null, all_33_12,
% 49.58/7.38 | | | | | | | | | all_33_12) | (v__1(null, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | v__1(null, all_33_12, nn)) | ( ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.58/7.38 | | | | | | | | | all_33_12)))) & ( ~ v__1(sortedList_first,
% 49.58/7.38 | | | | | | | | | all_33_12, all_33_12) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, all_33_12, nn))) & (( ~
% 49.58/7.38 | | | | | | | | | (prev_2 = nn) & v__1(sortedList_first, prev_2,
% 49.58/7.38 | | | | | | | | | nn) & (v__1(sortedList_first, nn, prev_2) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.38 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.38 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.58/7.38 | | | | | | | | | (prev_2 = nn) & v__1(null, prev_2, prev_2) & (
% 49.58/7.38 | | | | | | | | | ~ v__1(null, nn, nn) | v__1(null, prev_2,
% 49.58/7.38 | | | | | | | | | nn)) & (v__1(sortedList_first, nn, prev_2)
% 49.58/7.38 | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))))
% 49.58/7.38 | | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, prev_2, nn)))))) & ((
% 49.58/7.38 | | | | | | | | | ~ (prev_2 = nn) & v__1(sortedList_first,
% 49.58/7.38 | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.58/7.38 | | | | | | | | | prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.38 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.38 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.58/7.38 | | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.38 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.38 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, nn, nn)))))
% 49.58/7.38 | | | | | | | | |
% 49.58/7.38 | | | | | | | | | ALPHA: (87) implies:
% 49.58/7.38 | | | | | | | | | (88) ( ~ (prev_2 = nn) & v__1(sortedList_first, all_33_12,
% 49.58/7.38 | | | | | | | | | nn) & (v__1(sortedList_first, nn, prev_2) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.38 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.38 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.58/7.38 | | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.38 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.38 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.58/7.38 | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.58/7.38 | | | | | | | | | v__1(sortedList_first, nn, nn))))
% 49.58/7.38 | | | | | | | | |
% 49.58/7.38 | | | | | | | | | BETA: splitting (44) gives:
% 49.58/7.38 | | | | | | | | |
% 49.58/7.38 | | | | | | | | | Case 1:
% 49.58/7.38 | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | (89) v__1(sortedList_first, prev_2, nn)
% 49.58/7.38 | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | BETA: splitting (88) gives:
% 49.58/7.38 | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | Case 1:
% 49.58/7.38 | | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | | (90) ~ (prev_2 = nn) & v__1(sortedList_first,
% 49.58/7.38 | | | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.58/7.38 | | | | | | | | | | | prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.38 | | | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.38 | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))
% 49.58/7.38 | | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | | ALPHA: (90) implies:
% 49.58/7.38 | | | | | | | | | | | (91) v__1(sortedList_first, all_33_12, nn)
% 49.58/7.38 | | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | | GROUND_INST: instantiating (8) with sortedList_first,
% 49.58/7.38 | | | | | | | | | | | all_33_12, nn, simplifying with (1), (4), (18),
% 49.58/7.38 | | | | | | | | | | | (21), (31), (32), (64), (91) gives:
% 49.58/7.38 | | | | | | | | | | | (92) $false
% 49.58/7.38 | | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | | CLOSE: (92) is inconsistent.
% 49.58/7.38 | | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | Case 2:
% 49.58/7.38 | | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | | (93) ( ~ (prev_2 = nn) & v__1(null, all_33_12, prev_2)
% 49.58/7.38 | | | | | | | | | | | & (v__1(sortedList_first, nn, prev_2) |
% 49.58/7.38 | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.38 | | | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.38 | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.58/7.38 | | | | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.58/7.38 | | | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.58/7.38 | | | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.58/7.38 | | | | | | | | | | | v__1(sortedList_first, nn, nn))))
% 49.58/7.38 | | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | | BETA: splitting (93) gives:
% 49.58/7.38 | | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | | Case 1:
% 49.58/7.38 | | | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | | | (94) ~ (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.58/7.38 | | | | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.58/7.38 | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.58/7.38 | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.58/7.38 | | | | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.58/7.38 | | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))
% 49.58/7.38 | | | | | | | | | | | |
% 49.58/7.38 | | | | | | | | | | | | ALPHA: (94) implies:
% 49.58/7.38 | | | | | | | | | | | | (95) ~ (prev_2 = nn)
% 49.65/7.38 | | | | | | | | | | | | (96) v__1(sortedList_first, nn, prev_2) |
% 49.65/7.38 | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.38 | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))
% 49.65/7.38 | | | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (6), (18), (19), (21), (38), (89),
% 49.65/7.38 | | | | | | | | | | | | (95), (96), (hyp_tptp_8) are inconsistent by
% 49.65/7.38 | | | | | | | | | | | | sub-proof #3.
% 49.65/7.38 | | | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | | | Case 2:
% 49.65/7.38 | | | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | | | | (97) v__1(sortedList_first, all_33_12, prev_2) &
% 49.65/7.38 | | | | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.65/7.38 | | | | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.65/7.38 | | | | | | | | | | | | v__1(sortedList_first, nn, nn)))
% 49.65/7.38 | | | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | | | | ALPHA: (97) implies:
% 49.65/7.38 | | | | | | | | | | | | (98) v__1(sortedList_first, all_33_12, prev_2)
% 49.65/7.38 | | | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | | | | GROUND_INST: instantiating (7) with all_33_12,
% 49.65/7.38 | | | | | | | | | | | | sortedList_first, prev_2, nn, simplifying with
% 49.65/7.38 | | | | | | | | | | | | (1), (2), (4), (18), (19), (21), (31), (32), (89),
% 49.65/7.38 | | | | | | | | | | | | (98) gives:
% 49.65/7.38 | | | | | | | | | | | | (99) v__1(sortedList_first, all_33_12, nn)
% 49.65/7.38 | | | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | | | | GROUND_INST: instantiating (8) with sortedList_first,
% 49.65/7.38 | | | | | | | | | | | | all_33_12, nn, simplifying with (1), (4), (18),
% 49.65/7.38 | | | | | | | | | | | | (21), (31), (32), (64), (99) gives:
% 49.65/7.38 | | | | | | | | | | | | (100) $false
% 49.65/7.38 | | | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | | | | CLOSE: (100) is inconsistent.
% 49.65/7.38 | | | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | | | End of split
% 49.65/7.38 | | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | | End of split
% 49.65/7.38 | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | Case 2:
% 49.65/7.38 | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | | (101) ~ v__1(sortedList_first, prev_2, nn)
% 49.65/7.38 | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (9), (18), (19), (21), (46),
% 49.65/7.38 | | | | | | | | | | (47), (56), (58), (62), (63), (101), (hyp_tptp_2)
% 49.65/7.38 | | | | | | | | | | are inconsistent by sub-proof #2.
% 49.65/7.38 | | | | | | | | | |
% 49.65/7.38 | | | | | | | | | End of split
% 49.65/7.38 | | | | | | | | |
% 49.65/7.38 | | | | | | | | Case 2:
% 49.65/7.38 | | | | | | | | |
% 49.65/7.39 | | | | | | | | | (102) (( ~ (all_33_12 = nn) & v__1(sortedList_first,
% 49.65/7.39 | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.65/7.39 | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn)
% 49.65/7.39 | | | | | | | | | & ~ v__1(sortedList_first, all_33_12,
% 49.65/7.39 | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.65/7.39 | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.65/7.39 | | | | | | | | | v__1(null, nn, nn)))) | ( ~ (all_33_12 = nn)
% 49.65/7.39 | | | | | | | | | & v__1(null, all_33_12, all_33_12) & ( ~
% 49.65/7.39 | | | | | | | | | v__1(null, nn, nn) | v__1(null, all_33_12, nn))
% 49.65/7.39 | | | | | | | | | & (v__1(sortedList_first, nn, all_33_12) |
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.39 | | | | | | | | | all_33_12)))) | (v__1(sortedList_first,
% 49.65/7.39 | | | | | | | | | all_33_12, all_33_12) & ( ~
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, all_33_12, nn)))) & (( ~
% 49.65/7.39 | | | | | | | | | (prev_2 = nn) & v__1(sortedList_first, all_33_12,
% 49.65/7.39 | | | | | | | | | nn) & (v__1(sortedList_first, nn, prev_2) |
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.65/7.39 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.39 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.65/7.39 | | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.65/7.39 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.39 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, nn, nn)))) | ((prev_2
% 49.65/7.39 | | | | | | | | | = nn | ~ v__1(sortedList_first, prev_2, nn) |
% 49.65/7.39 | | | | | | | | | ( ~ v__1(sortedList_first, nn, prev_2) & ( ~
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) |
% 49.65/7.39 | | | | | | | | | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null,
% 49.65/7.39 | | | | | | | | | prev_2, prev_2) | v__1(null, nn, nn)))) &
% 49.65/7.39 | | | | | | | | | (prev_2 = nn | ~ v__1(null, prev_2, prev_2) |
% 49.65/7.39 | | | | | | | | | (v__1(null, nn, nn) & ~ v__1(null, prev_2,
% 49.65/7.39 | | | | | | | | | nn)) | ( ~ v__1(sortedList_first, nn,
% 49.65/7.39 | | | | | | | | | prev_2) & ( ~ v__1(sortedList_first, nn,
% 49.65/7.39 | | | | | | | | | nn) | v__1(sortedList_first, prev_2,
% 49.65/7.39 | | | | | | | | | prev_2)))) & ( ~ v__1(sortedList_first,
% 49.65/7.39 | | | | | | | | | prev_2, prev_2) | (v__1(sortedList_first, nn,
% 49.65/7.39 | | | | | | | | | nn) & ~ v__1(sortedList_first, prev_2,
% 49.65/7.39 | | | | | | | | | nn))) & (( ~ (all_33_12 = nn) &
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, all_33_12, nn) &
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.39 | | | | | | | | | all_33_12))) & (v__1(null, all_33_12,
% 49.65/7.39 | | | | | | | | | nn) | (v__1(null, all_33_12, all_33_12) &
% 49.65/7.39 | | | | | | | | | ~ v__1(null, nn, nn)))) | ( ~ (all_33_12
% 49.65/7.39 | | | | | | | | | = nn) & v__1(null, all_33_12, all_33_12) &
% 49.65/7.39 | | | | | | | | | ( ~ v__1(null, nn, nn) | v__1(null,
% 49.65/7.39 | | | | | | | | | all_33_12, nn)) & (v__1(sortedList_first,
% 49.65/7.39 | | | | | | | | | nn, all_33_12) | (v__1(sortedList_first,
% 49.65/7.39 | | | | | | | | | nn, nn) & ~ v__1(sortedList_first,
% 49.65/7.39 | | | | | | | | | all_33_12, all_33_12)))) |
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12) &
% 49.65/7.39 | | | | | | | | | ( ~ v__1(sortedList_first, nn, nn) |
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, all_33_12, nn))))))
% 49.65/7.39 | | | | | | | | |
% 49.65/7.39 | | | | | | | | | ALPHA: (102) implies:
% 49.65/7.39 | | | | | | | | | (103) ( ~ (all_33_12 = nn) & v__1(sortedList_first,
% 49.65/7.39 | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.65/7.39 | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn) &
% 49.65/7.39 | | | | | | | | | ~ v__1(sortedList_first, all_33_12,
% 49.65/7.39 | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.65/7.39 | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~ v__1(null,
% 49.65/7.39 | | | | | | | | | nn, nn)))) | ( ~ (all_33_12 = nn) &
% 49.65/7.39 | | | | | | | | | v__1(null, all_33_12, all_33_12) & ( ~ v__1(null,
% 49.65/7.39 | | | | | | | | | nn, nn) | v__1(null, all_33_12, nn)) &
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.65/7.39 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, all_33_12, all_33_12))))
% 49.65/7.39 | | | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12) & ( ~
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.39 | | | | | | | | | v__1(sortedList_first, all_33_12, nn)))
% 49.65/7.39 | | | | | | | | |
% 49.65/7.39 | | | | | | | | | BETA: splitting (103) gives:
% 49.65/7.39 | | | | | | | | |
% 49.65/7.39 | | | | | | | | | Case 1:
% 49.65/7.39 | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | (104) ~ (all_33_12 = nn) & v__1(sortedList_first,
% 49.65/7.39 | | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.65/7.39 | | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn) &
% 49.65/7.39 | | | | | | | | | | ~ v__1(sortedList_first, all_33_12,
% 49.65/7.39 | | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.65/7.39 | | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~ v__1(null,
% 49.65/7.39 | | | | | | | | | | nn, nn)))
% 49.65/7.39 | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | ALPHA: (104) implies:
% 49.65/7.39 | | | | | | | | | | (105) v__1(sortedList_first, all_33_12, nn)
% 49.65/7.39 | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | GROUND_INST: instantiating (8) with sortedList_first,
% 49.65/7.39 | | | | | | | | | | all_33_12, nn, simplifying with (1), (4), (18),
% 49.65/7.39 | | | | | | | | | | (21), (31), (32), (64), (105) gives:
% 49.65/7.39 | | | | | | | | | | (106) $false
% 49.65/7.39 | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | CLOSE: (106) is inconsistent.
% 49.65/7.39 | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | Case 2:
% 49.65/7.39 | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | (107) ( ~ (all_33_12 = nn) & v__1(null, all_33_12,
% 49.65/7.39 | | | | | | | | | | all_33_12) & ( ~ v__1(null, nn, nn) |
% 49.65/7.39 | | | | | | | | | | v__1(null, all_33_12, nn)) &
% 49.65/7.39 | | | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.65/7.39 | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.39 | | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.39 | | | | | | | | | | all_33_12)))) | (v__1(sortedList_first,
% 49.65/7.39 | | | | | | | | | | all_33_12, all_33_12) & ( ~
% 49.65/7.39 | | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.39 | | | | | | | | | | v__1(sortedList_first, all_33_12, nn)))
% 49.65/7.39 | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | BETA: splitting (107) gives:
% 49.65/7.39 | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | Case 1:
% 49.65/7.39 | | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | | (108) ~ (all_33_12 = nn) & v__1(null, all_33_12,
% 49.65/7.39 | | | | | | | | | | | all_33_12) & ( ~ v__1(null, nn, nn) | v__1(null,
% 49.65/7.39 | | | | | | | | | | | all_33_12, nn)) & (v__1(sortedList_first, nn,
% 49.65/7.39 | | | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn) &
% 49.65/7.39 | | | | | | | | | | | ~ v__1(sortedList_first, all_33_12,
% 49.65/7.39 | | | | | | | | | | | all_33_12)))
% 49.65/7.39 | | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | | ALPHA: (108) implies:
% 49.65/7.39 | | | | | | | | | | | (109) v__1(null, all_33_12, all_33_12)
% 49.65/7.39 | | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | | GROUND_INST: instantiating (hyp_tptp_9) with null, all_33_12,
% 49.65/7.39 | | | | | | | | | | | simplifying with (3), (17), (20), (31), (32),
% 49.65/7.39 | | | | | | | | | | | (109) gives:
% 49.65/7.39 | | | | | | | | | | | (110) all_33_12 = null
% 49.65/7.39 | | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | | REDUCE: (30), (110) imply:
% 49.65/7.39 | | | | | | | | | | | (111) $false
% 49.65/7.39 | | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | | CLOSE: (111) is inconsistent.
% 49.65/7.39 | | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | Case 2:
% 49.65/7.39 | | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | | (112) v__1(sortedList_first, all_33_12, all_33_12) & ( ~
% 49.65/7.39 | | | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.39 | | | | | | | | | | | v__1(sortedList_first, all_33_12, nn))
% 49.65/7.39 | | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | | ALPHA: (112) implies:
% 49.65/7.39 | | | | | | | | | | | (113) v__1(sortedList_first, all_33_12, all_33_12)
% 49.65/7.39 | | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | | PRED_UNIFY: (64), (113) imply:
% 49.65/7.39 | | | | | | | | | | | (114) $false
% 49.65/7.39 | | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | | CLOSE: (114) is inconsistent.
% 49.65/7.39 | | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | | End of split
% 49.65/7.39 | | | | | | | | | |
% 49.65/7.39 | | | | | | | | | End of split
% 49.65/7.39 | | | | | | | | |
% 49.65/7.39 | | | | | | | | End of split
% 49.65/7.39 | | | | | | | |
% 49.65/7.39 | | | | | | | End of split
% 49.65/7.39 | | | | | | |
% 49.65/7.39 | | | | | | Case 2:
% 49.65/7.39 | | | | | | |
% 49.65/7.39 | | | | | | | (115) all_33_12 = nn
% 49.65/7.39 | | | | | | | (116) v__1(sortedList_first, all_33_12, all_33_12)
% 49.65/7.39 | | | | | | |
% 49.65/7.39 | | | | | | | REDUCE: (30), (115) imply:
% 49.65/7.39 | | | | | | | (117) ~ (null = nn)
% 49.65/7.39 | | | | | | |
% 49.65/7.39 | | | | | | | BETA: splitting (36) gives:
% 49.65/7.39 | | | | | | |
% 49.65/7.39 | | | | | | | Case 1:
% 49.65/7.39 | | | | | | | |
% 49.65/7.39 | | | | | | | | (118) ~ (all_33_12 = prev_2) & ((all_33_0 = all_33_13 &
% 49.65/7.39 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12) &
% 49.65/7.39 | | | | | | | | object(all_33_13) & ((all_33_1 = all_33_13 &
% 49.65/7.39 | | | | | | | | all_33_2 = all_33_13 & ~ v__1(all_33_13, nn,
% 49.65/7.39 | | | | | | | | nn)) | (all_33_2 = all_33_13 &
% 49.65/7.39 | | | | | | | | v__1(all_33_13, all_33_12, nn)))) | (all_33_2 =
% 49.65/7.39 | | | | | | | | all_33_13 & ~ (all_33_12 = nn) & v__1(all_33_13,
% 49.65/7.39 | | | | | | | | all_33_12, nn) & object(all_33_13) & (v__1(null,
% 49.65/7.39 | | | | | | | | all_33_12, nn) | (v__1(null, all_33_12,
% 49.65/7.39 | | | | | | | | all_33_12) & ~ v__1(null, nn, nn))) &
% 49.65/7.39 | | | | | | | | ((all_33_0 = all_33_13 & all_33_1 = all_33_13 &
% 49.65/7.39 | | | | | | | | v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.65/7.39 | | | | | | | | all_33_12, all_33_12)) | (all_33_1 =
% 49.65/7.39 | | | | | | | | all_33_13 & v__1(all_33_13, nn, all_33_12)))) |
% 49.65/7.39 | | | | | | | | ( ~ (all_33_12 = nn) & v__1(null, all_33_12,
% 49.65/7.39 | | | | | | | | all_33_12) & ( ~ v__1(null, nn, nn) | v__1(null,
% 49.65/7.39 | | | | | | | | all_33_12, nn)) & ((all_33_1 = all_33_13 &
% 49.65/7.39 | | | | | | | | all_33_2 = all_33_13 & v__1(all_33_13, nn, nn)
% 49.65/7.39 | | | | | | | | & object(all_33_13) & ~ v__1(all_33_13,
% 49.65/7.39 | | | | | | | | all_33_12, all_33_12)) | (all_33_2 =
% 49.65/7.39 | | | | | | | | all_33_13 & v__1(all_33_13, nn, all_33_12) &
% 49.65/7.39 | | | | | | | | object(all_33_13))))) & ((all_33_9 = all_33_13
% 49.65/7.39 | | | | | | | | & v__1(all_33_13, all_33_12, prev_2) &
% 49.65/7.39 | | | | | | | | object(all_33_13) & ((all_33_10 = all_33_13 &
% 49.65/7.39 | | | | | | | | all_33_11 = all_33_13 & v__1(all_33_13, prev_2,
% 49.65/7.39 | | | | | | | | prev_2) & ~ v__1(all_33_13, nn, nn)) |
% 49.65/7.39 | | | | | | | | (all_33_11 = all_33_13 & v__1(all_33_13, prev_2,
% 49.65/7.39 | | | | | | | | nn)))) | (all_33_11 = all_33_13 & ~ (prev_2
% 49.65/7.39 | | | | | | | | = nn) & v__1(all_33_13, all_33_12, nn) &
% 49.65/7.39 | | | | | | | | object(all_33_13) & (v__1(null, prev_2, nn) |
% 49.65/7.39 | | | | | | | | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn,
% 49.65/7.39 | | | | | | | | nn))) & ((all_33_9 = all_33_13 & all_33_10 =
% 49.65/7.39 | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn) & ~
% 49.65/7.39 | | | | | | | | v__1(all_33_13, prev_2, prev_2)) | (all_33_10 =
% 49.65/7.39 | | | | | | | | all_33_13 & v__1(all_33_13, nn, prev_2)))) | (
% 49.65/7.39 | | | | | | | | ~ (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.65/7.39 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.39 | | | | | | | | prev_2) & ~ v__1(null, nn, nn))) &
% 49.65/7.39 | | | | | | | | ((all_33_10 = all_33_13 & all_33_11 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, nn, nn) & object(all_33_13) &
% 49.65/7.40 | | | | | | | | ~ v__1(all_33_13, prev_2, prev_2)) | (all_33_11
% 49.65/7.40 | | | | | | | | = all_33_13 & v__1(all_33_13, nn, prev_2) &
% 49.65/7.40 | | | | | | | | object(all_33_13)))) | ((prev_2 = nn | ~
% 49.65/7.40 | | | | | | | | v__1(null, prev_2, prev_2) | (all_33_10 =
% 49.65/7.40 | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.65/7.40 | | | | | | | | v__1(all_33_13, nn, prev_2) & ((all_33_11 =
% 49.65/7.40 | | | | | | | | all_33_13 & v__1(all_33_13, prev_2,
% 49.65/7.40 | | | | | | | | prev_2)) | (all_33_11 = all_33_13 & ~
% 49.65/7.40 | | | | | | | | v__1(all_33_13, nn, nn)))) | (v__1(null,
% 49.65/7.40 | | | | | | | | nn, nn) & ~ v__1(null, prev_2, nn))) &
% 49.65/7.40 | | | | | | | | (prev_2 = nn | (all_33_8 = all_33_13 &
% 49.65/7.40 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13, nn,
% 49.65/7.40 | | | | | | | | prev_2) & ((all_33_9 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, prev_2, prev_2)) |
% 49.65/7.40 | | | | | | | | (all_33_9 = all_33_13 & ~ v__1(all_33_13,
% 49.65/7.40 | | | | | | | | nn, nn)))) | (all_33_9 = all_33_13 &
% 49.65/7.40 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13, prev_2,
% 49.65/7.40 | | | | | | | | nn)) | ( ~ v__1(null, prev_2, nn) & ( ~
% 49.65/7.40 | | | | | | | | v__1(null, prev_2, prev_2) | v__1(null, nn,
% 49.65/7.40 | | | | | | | | nn)))) & ((all_33_3 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12) &
% 49.65/7.40 | | | | | | | | object(all_33_13) & ((all_33_4 = all_33_13 &
% 49.65/7.40 | | | | | | | | all_33_5 = all_33_13 & ~ v__1(all_33_13,
% 49.65/7.40 | | | | | | | | nn, nn)) | (all_33_5 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, all_33_12, nn)))) |
% 49.65/7.40 | | | | | | | | (all_33_5 = all_33_13 & ~ (all_33_12 = nn) &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, all_33_12, nn) &
% 49.65/7.40 | | | | | | | | object(all_33_13) & (v__1(null, all_33_12, nn)
% 49.65/7.40 | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.65/7.40 | | | | | | | | v__1(null, nn, nn))) & ((all_33_3 =
% 49.65/7.40 | | | | | | | | all_33_13 & all_33_4 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, nn, nn) & ~
% 49.65/7.40 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12)) |
% 49.65/7.40 | | | | | | | | (all_33_4 = all_33_13 & v__1(all_33_13, nn,
% 49.65/7.40 | | | | | | | | all_33_12)))) | ( ~ (all_33_12 = nn) &
% 49.65/7.40 | | | | | | | | v__1(null, all_33_12, all_33_12) & ( ~
% 49.65/7.40 | | | | | | | | v__1(null, nn, nn) | v__1(null, all_33_12,
% 49.65/7.40 | | | | | | | | nn)) & ((all_33_4 = all_33_13 & all_33_5 =
% 49.65/7.40 | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn) &
% 49.65/7.40 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13,
% 49.65/7.40 | | | | | | | | all_33_12, all_33_12)) | (all_33_5 =
% 49.65/7.40 | | | | | | | | all_33_13 & v__1(all_33_13, nn, all_33_12)
% 49.65/7.40 | | | | | | | | & object(all_33_13))))) & ((all_33_6 =
% 49.65/7.40 | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.65/7.40 | | | | | | | | v__1(all_33_13, prev_2, nn) & ((all_33_7 =
% 49.65/7.40 | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn)) |
% 49.65/7.40 | | | | | | | | (all_33_7 = all_33_13 & ~ v__1(all_33_13,
% 49.65/7.40 | | | | | | | | prev_2, prev_2)))) | (all_33_7 =
% 49.65/7.40 | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.65/7.40 | | | | | | | | v__1(all_33_13, prev_2, prev_2))))) & (( ~
% 49.65/7.40 | | | | | | | | (all_33_12 = nn) & v__1(sortedList_first, prev_2,
% 49.65/7.40 | | | | | | | | nn) & (v__1(sortedList_first, nn, all_33_12) |
% 49.65/7.40 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, all_33_12, all_33_12)))
% 49.65/7.40 | | | | | | | | & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.65/7.40 | | | | | | | | all_33_12, all_33_12) & ~ v__1(null, nn,
% 49.65/7.40 | | | | | | | | nn)))) | ( ~ (all_33_12 = nn) & v__1(null,
% 49.65/7.40 | | | | | | | | prev_2, all_33_12) & (v__1(sortedList_first, nn,
% 49.65/7.40 | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn) &
% 49.65/7.40 | | | | | | | | ~ v__1(sortedList_first, all_33_12,
% 49.65/7.40 | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.65/7.40 | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~ v__1(null,
% 49.65/7.40 | | | | | | | | nn, nn)))) | (v__1(sortedList_first, prev_2,
% 49.65/7.40 | | | | | | | | all_33_12) & (v__1(sortedList_first, all_33_12,
% 49.65/7.40 | | | | | | | | nn) | (v__1(sortedList_first, all_33_12,
% 49.65/7.40 | | | | | | | | all_33_12) & ~ v__1(sortedList_first, nn,
% 49.65/7.40 | | | | | | | | nn)))) | ((all_33_12 = nn | ~
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, all_33_12, nn) | ( ~
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.40 | | | | | | | | all_33_12))) | ( ~ v__1(null, all_33_12,
% 49.65/7.40 | | | | | | | | nn) & ( ~ v__1(null, all_33_12, all_33_12) |
% 49.65/7.40 | | | | | | | | v__1(null, nn, nn)))) & (all_33_12 = nn | ~
% 49.65/7.40 | | | | | | | | v__1(null, all_33_12, all_33_12) | (v__1(null,
% 49.65/7.40 | | | | | | | | nn, nn) & ~ v__1(null, all_33_12, nn)) | ( ~
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.40 | | | | | | | | all_33_12)))) & ( ~ v__1(sortedList_first,
% 49.65/7.40 | | | | | | | | all_33_12, all_33_12) | (v__1(sortedList_first,
% 49.65/7.40 | | | | | | | | nn, nn) & ~ v__1(sortedList_first,
% 49.65/7.40 | | | | | | | | all_33_12, nn))) & (( ~ (prev_2 = nn) &
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, prev_2, nn) &
% 49.65/7.40 | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.65/7.40 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.65/7.40 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.40 | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.65/7.40 | | | | | | | | (prev_2 = nn) & v__1(null, prev_2, prev_2) & (
% 49.65/7.40 | | | | | | | | ~ v__1(null, nn, nn) | v__1(null, prev_2,
% 49.65/7.40 | | | | | | | | nn)) & (v__1(sortedList_first, nn, prev_2)
% 49.65/7.40 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, prev_2, prev_2)))) |
% 49.65/7.40 | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.40 | | | | | | | | v__1(sortedList_first, prev_2, nn))))))
% 49.65/7.40 | | | | | | | |
% 49.65/7.40 | | | | | | | | ALPHA: (118) implies:
% 49.65/7.40 | | | | | | | | (119) (all_33_0 = all_33_13 & v__1(all_33_13, all_33_12,
% 49.65/7.40 | | | | | | | | all_33_12) & object(all_33_13) & ((all_33_1 =
% 49.65/7.40 | | | | | | | | all_33_13 & all_33_2 = all_33_13 & ~
% 49.65/7.40 | | | | | | | | v__1(all_33_13, nn, nn)) | (all_33_2 = all_33_13
% 49.65/7.40 | | | | | | | | & v__1(all_33_13, all_33_12, nn)))) | (all_33_2 =
% 49.65/7.40 | | | | | | | | all_33_13 & ~ (all_33_12 = nn) & v__1(all_33_13,
% 49.65/7.40 | | | | | | | | all_33_12, nn) & object(all_33_13) & (v__1(null,
% 49.65/7.40 | | | | | | | | all_33_12, nn) | (v__1(null, all_33_12,
% 49.65/7.40 | | | | | | | | all_33_12) & ~ v__1(null, nn, nn))) &
% 49.65/7.40 | | | | | | | | ((all_33_0 = all_33_13 & all_33_1 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.65/7.40 | | | | | | | | all_33_12, all_33_12)) | (all_33_1 = all_33_13
% 49.65/7.40 | | | | | | | | & v__1(all_33_13, nn, all_33_12)))) | ( ~
% 49.65/7.40 | | | | | | | | (all_33_12 = nn) & v__1(null, all_33_12, all_33_12) &
% 49.65/7.40 | | | | | | | | ( ~ v__1(null, nn, nn) | v__1(null, all_33_12, nn)) &
% 49.65/7.40 | | | | | | | | ((all_33_1 = all_33_13 & all_33_2 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, nn, nn) & object(all_33_13) & ~
% 49.65/7.40 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12)) |
% 49.65/7.40 | | | | | | | | (all_33_2 = all_33_13 & v__1(all_33_13, nn,
% 49.65/7.40 | | | | | | | | all_33_12) & object(all_33_13))))
% 49.65/7.40 | | | | | | | |
% 49.65/7.40 | | | | | | | | BETA: splitting (119) gives:
% 49.65/7.40 | | | | | | | |
% 49.65/7.40 | | | | | | | | Case 1:
% 49.65/7.40 | | | | | | | | |
% 49.65/7.40 | | | | | | | | | (120) all_33_0 = all_33_13 & v__1(all_33_13, all_33_12,
% 49.65/7.40 | | | | | | | | | all_33_12) & object(all_33_13) & ((all_33_1 =
% 49.65/7.40 | | | | | | | | | all_33_13 & all_33_2 = all_33_13 & ~
% 49.65/7.40 | | | | | | | | | v__1(all_33_13, nn, nn)) | (all_33_2 = all_33_13
% 49.65/7.40 | | | | | | | | | & v__1(all_33_13, all_33_12, nn)))
% 49.65/7.40 | | | | | | | | |
% 49.65/7.40 | | | | | | | | | ALPHA: (120) implies:
% 49.65/7.40 | | | | | | | | | (121) v__1(all_33_13, all_33_12, all_33_12)
% 49.65/7.40 | | | | | | | | |
% 49.65/7.40 | | | | | | | | | REDUCE: (115), (121) imply:
% 49.65/7.40 | | | | | | | | | (122) v__1(all_33_13, nn, nn)
% 49.65/7.40 | | | | | | | | |
% 49.65/7.40 | | | | | | | | | PRED_UNIFY: (58), (122) imply:
% 49.65/7.40 | | | | | | | | | (123) $false
% 49.65/7.40 | | | | | | | | |
% 49.65/7.40 | | | | | | | | | CLOSE: (123) is inconsistent.
% 49.65/7.40 | | | | | | | | |
% 49.65/7.40 | | | | | | | | Case 2:
% 49.65/7.40 | | | | | | | | |
% 49.65/7.40 | | | | | | | | | (124) (all_33_2 = all_33_13 & ~ (all_33_12 = nn) &
% 49.65/7.40 | | | | | | | | | v__1(all_33_13, all_33_12, nn) & object(all_33_13)
% 49.65/7.40 | | | | | | | | | & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.65/7.40 | | | | | | | | | all_33_12, all_33_12) & ~ v__1(null, nn,
% 49.65/7.40 | | | | | | | | | nn))) & ((all_33_0 = all_33_13 & all_33_1 =
% 49.65/7.40 | | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn) & ~
% 49.65/7.40 | | | | | | | | | v__1(all_33_13, all_33_12, all_33_12)) |
% 49.65/7.40 | | | | | | | | | (all_33_1 = all_33_13 & v__1(all_33_13, nn,
% 49.65/7.40 | | | | | | | | | all_33_12)))) | ( ~ (all_33_12 = nn) &
% 49.65/7.40 | | | | | | | | | v__1(null, all_33_12, all_33_12) & ( ~ v__1(null,
% 49.65/7.40 | | | | | | | | | nn, nn) | v__1(null, all_33_12, nn)) &
% 49.65/7.40 | | | | | | | | | ((all_33_1 = all_33_13 & all_33_2 = all_33_13 &
% 49.65/7.40 | | | | | | | | | v__1(all_33_13, nn, nn) & object(all_33_13) &
% 49.65/7.40 | | | | | | | | | ~ v__1(all_33_13, all_33_12, all_33_12)) |
% 49.65/7.40 | | | | | | | | | (all_33_2 = all_33_13 & v__1(all_33_13, nn,
% 49.65/7.40 | | | | | | | | | all_33_12) & object(all_33_13))))
% 49.65/7.40 | | | | | | | | |
% 49.65/7.40 | | | | | | | | | BETA: splitting (124) gives:
% 49.65/7.40 | | | | | | | | |
% 49.65/7.40 | | | | | | | | | Case 1:
% 49.65/7.40 | | | | | | | | | |
% 49.65/7.40 | | | | | | | | | | (125) all_33_2 = all_33_13 & ~ (all_33_12 = nn) &
% 49.65/7.40 | | | | | | | | | | v__1(all_33_13, all_33_12, nn) & object(all_33_13)
% 49.65/7.40 | | | | | | | | | | & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.65/7.40 | | | | | | | | | | all_33_12, all_33_12) & ~ v__1(null, nn,
% 49.65/7.40 | | | | | | | | | | nn))) & ((all_33_0 = all_33_13 & all_33_1 =
% 49.65/7.40 | | | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn) & ~
% 49.65/7.40 | | | | | | | | | | v__1(all_33_13, all_33_12, all_33_12)) |
% 49.65/7.40 | | | | | | | | | | (all_33_1 = all_33_13 & v__1(all_33_13, nn,
% 49.65/7.40 | | | | | | | | | | all_33_12)))
% 49.65/7.40 | | | | | | | | | |
% 49.65/7.40 | | | | | | | | | | ALPHA: (125) implies:
% 49.65/7.40 | | | | | | | | | | (126) ~ (all_33_12 = nn)
% 49.65/7.40 | | | | | | | | | |
% 49.65/7.40 | | | | | | | | | | REDUCE: (115), (126) imply:
% 49.65/7.40 | | | | | | | | | | (127) $false
% 49.65/7.40 | | | | | | | | | |
% 49.65/7.40 | | | | | | | | | | CLOSE: (127) is inconsistent.
% 49.65/7.40 | | | | | | | | | |
% 49.65/7.40 | | | | | | | | | Case 2:
% 49.65/7.40 | | | | | | | | | |
% 49.65/7.40 | | | | | | | | | | (128) ~ (all_33_12 = nn) & v__1(null, all_33_12,
% 49.65/7.40 | | | | | | | | | | all_33_12) & ( ~ v__1(null, nn, nn) | v__1(null,
% 49.65/7.40 | | | | | | | | | | all_33_12, nn)) & ((all_33_1 = all_33_13 &
% 49.65/7.40 | | | | | | | | | | all_33_2 = all_33_13 & v__1(all_33_13, nn, nn)
% 49.65/7.40 | | | | | | | | | | & object(all_33_13) & ~ v__1(all_33_13,
% 49.65/7.40 | | | | | | | | | | all_33_12, all_33_12)) | (all_33_2 =
% 49.65/7.40 | | | | | | | | | | all_33_13 & v__1(all_33_13, nn, all_33_12) &
% 49.65/7.40 | | | | | | | | | | object(all_33_13)))
% 49.65/7.40 | | | | | | | | | |
% 49.65/7.40 | | | | | | | | | | ALPHA: (128) implies:
% 49.65/7.40 | | | | | | | | | | (129) ~ (all_33_12 = nn)
% 49.65/7.40 | | | | | | | | | |
% 49.65/7.40 | | | | | | | | | | REDUCE: (115), (129) imply:
% 49.65/7.40 | | | | | | | | | | (130) $false
% 49.65/7.40 | | | | | | | | | |
% 49.65/7.40 | | | | | | | | | | CLOSE: (130) is inconsistent.
% 49.65/7.40 | | | | | | | | | |
% 49.65/7.40 | | | | | | | | | End of split
% 49.65/7.40 | | | | | | | | |
% 49.65/7.40 | | | | | | | | End of split
% 49.65/7.40 | | | | | | | |
% 49.65/7.40 | | | | | | | Case 2:
% 49.65/7.40 | | | | | | | |
% 49.65/7.40 | | | | | | | | (131) ( ~ (all_33_12 = prev_2) & ((all_33_9 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, all_33_12, prev_2) &
% 49.65/7.40 | | | | | | | | object(all_33_13) & ((all_33_10 = all_33_13 &
% 49.65/7.40 | | | | | | | | all_33_11 = all_33_13 & v__1(all_33_13,
% 49.65/7.40 | | | | | | | | prev_2, prev_2) & ~ v__1(all_33_13, nn,
% 49.65/7.40 | | | | | | | | nn)) | (all_33_11 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, prev_2, nn)))) | (all_33_11 =
% 49.65/7.40 | | | | | | | | all_33_13 & ~ (prev_2 = nn) & v__1(all_33_13,
% 49.65/7.40 | | | | | | | | all_33_12, nn) & object(all_33_13) &
% 49.65/7.40 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.40 | | | | | | | | prev_2) & ~ v__1(null, nn, nn))) &
% 49.65/7.40 | | | | | | | | ((all_33_9 = all_33_13 & all_33_10 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.65/7.40 | | | | | | | | prev_2, prev_2)) | (all_33_10 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, nn, prev_2)))) | ( ~ (prev_2
% 49.65/7.40 | | | | | | | | = nn) & v__1(null, all_33_12, prev_2) &
% 49.65/7.40 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.40 | | | | | | | | prev_2) & ~ v__1(null, nn, nn))) &
% 49.65/7.40 | | | | | | | | ((all_33_10 = all_33_13 & all_33_11 = all_33_13 &
% 49.65/7.40 | | | | | | | | v__1(all_33_13, nn, nn) & object(all_33_13) &
% 49.65/7.40 | | | | | | | | ~ v__1(all_33_13, prev_2, prev_2)) |
% 49.65/7.40 | | | | | | | | (all_33_11 = all_33_13 & v__1(all_33_13, nn,
% 49.65/7.40 | | | | | | | | prev_2) & object(all_33_13)))) | ((prev_2 =
% 49.65/7.40 | | | | | | | | nn | ~ v__1(null, prev_2, prev_2) | (all_33_10
% 49.65/7.40 | | | | | | | | = all_33_13 & object(all_33_13) & ~
% 49.65/7.40 | | | | | | | | v__1(all_33_13, nn, prev_2) & ((all_33_11 =
% 49.65/7.41 | | | | | | | | all_33_13 & v__1(all_33_13, prev_2,
% 49.65/7.41 | | | | | | | | prev_2)) | (all_33_11 = all_33_13 & ~
% 49.65/7.41 | | | | | | | | v__1(all_33_13, nn, nn)))) | (v__1(null,
% 49.65/7.41 | | | | | | | | nn, nn) & ~ v__1(null, prev_2, nn))) &
% 49.65/7.41 | | | | | | | | (prev_2 = nn | (all_33_8 = all_33_13 &
% 49.65/7.41 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13, nn,
% 49.65/7.41 | | | | | | | | prev_2) & ((all_33_9 = all_33_13 &
% 49.65/7.41 | | | | | | | | v__1(all_33_13, prev_2, prev_2)) |
% 49.65/7.41 | | | | | | | | (all_33_9 = all_33_13 & ~ v__1(all_33_13,
% 49.65/7.41 | | | | | | | | nn, nn)))) | (all_33_9 = all_33_13 &
% 49.65/7.41 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13,
% 49.65/7.41 | | | | | | | | prev_2, nn)) | ( ~ v__1(null, prev_2, nn) &
% 49.65/7.41 | | | | | | | | ( ~ v__1(null, prev_2, prev_2) | v__1(null,
% 49.65/7.41 | | | | | | | | nn, nn)))) & ((all_33_3 = all_33_13 &
% 49.65/7.41 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12) &
% 49.65/7.41 | | | | | | | | object(all_33_13) & ((all_33_4 = all_33_13 &
% 49.65/7.41 | | | | | | | | all_33_5 = all_33_13 & ~ v__1(all_33_13,
% 49.65/7.41 | | | | | | | | nn, nn)) | (all_33_5 = all_33_13 &
% 49.65/7.41 | | | | | | | | v__1(all_33_13, all_33_12, nn)))) |
% 49.65/7.41 | | | | | | | | (all_33_5 = all_33_13 & ~ (all_33_12 = nn) &
% 49.65/7.41 | | | | | | | | v__1(all_33_13, all_33_12, nn) &
% 49.65/7.41 | | | | | | | | object(all_33_13) & (v__1(null, all_33_12,
% 49.65/7.41 | | | | | | | | nn) | (v__1(null, all_33_12, all_33_12) &
% 49.65/7.41 | | | | | | | | ~ v__1(null, nn, nn))) & ((all_33_3 =
% 49.65/7.41 | | | | | | | | all_33_13 & all_33_4 = all_33_13 &
% 49.65/7.41 | | | | | | | | v__1(all_33_13, nn, nn) & ~
% 49.65/7.41 | | | | | | | | v__1(all_33_13, all_33_12, all_33_12)) |
% 49.65/7.41 | | | | | | | | (all_33_4 = all_33_13 & v__1(all_33_13, nn,
% 49.65/7.41 | | | | | | | | all_33_12)))) | ( ~ (all_33_12 = nn) &
% 49.65/7.41 | | | | | | | | v__1(null, all_33_12, all_33_12) & ( ~
% 49.65/7.41 | | | | | | | | v__1(null, nn, nn) | v__1(null, all_33_12,
% 49.65/7.41 | | | | | | | | nn)) & ((all_33_4 = all_33_13 & all_33_5
% 49.65/7.41 | | | | | | | | = all_33_13 & v__1(all_33_13, nn, nn) &
% 49.65/7.41 | | | | | | | | object(all_33_13) & ~ v__1(all_33_13,
% 49.65/7.41 | | | | | | | | all_33_12, all_33_12)) | (all_33_5 =
% 49.65/7.41 | | | | | | | | all_33_13 & v__1(all_33_13, nn,
% 49.65/7.41 | | | | | | | | all_33_12) & object(all_33_13))))) &
% 49.65/7.41 | | | | | | | | ((all_33_6 = all_33_13 & object(all_33_13) & ~
% 49.65/7.41 | | | | | | | | v__1(all_33_13, prev_2, nn) & ((all_33_7 =
% 49.65/7.41 | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn)) |
% 49.65/7.41 | | | | | | | | (all_33_7 = all_33_13 & ~ v__1(all_33_13,
% 49.65/7.41 | | | | | | | | prev_2, prev_2)))) | (all_33_7 =
% 49.65/7.41 | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.65/7.41 | | | | | | | | v__1(all_33_13, prev_2, prev_2))))) & (( ~
% 49.65/7.41 | | | | | | | | (all_33_12 = nn) & v__1(sortedList_first, prev_2,
% 49.65/7.41 | | | | | | | | nn) & (v__1(sortedList_first, nn, all_33_12) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.41 | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.65/7.41 | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.65/7.41 | | | | | | | | v__1(null, nn, nn)))) | ( ~ (all_33_12 = nn)
% 49.65/7.41 | | | | | | | | & v__1(null, prev_2, all_33_12) &
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.41 | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.65/7.41 | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.65/7.41 | | | | | | | | v__1(null, nn, nn)))) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, prev_2, all_33_12) &
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, all_33_12, nn) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12) &
% 49.65/7.41 | | | | | | | | ~ v__1(sortedList_first, nn, nn)))) |
% 49.65/7.41 | | | | | | | | ((all_33_12 = nn | ~ v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | all_33_12, nn) | ( ~ v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | nn, all_33_12) & ( ~ v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | nn, nn) | v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | all_33_12, all_33_12))) | ( ~ v__1(null,
% 49.65/7.41 | | | | | | | | all_33_12, nn) & ( ~ v__1(null, all_33_12,
% 49.65/7.41 | | | | | | | | all_33_12) | v__1(null, nn, nn)))) &
% 49.65/7.41 | | | | | | | | (all_33_12 = nn | ~ v__1(null, all_33_12,
% 49.65/7.41 | | | | | | | | all_33_12) | (v__1(null, nn, nn) & ~
% 49.65/7.41 | | | | | | | | v__1(null, all_33_12, nn)) | ( ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.41 | | | | | | | | all_33_12)))) & ( ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, all_33_12, all_33_12) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, all_33_12, nn))) & ((
% 49.65/7.41 | | | | | | | | ~ (prev_2 = nn) & v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | prev_2, nn) & (v__1(sortedList_first, nn,
% 49.65/7.41 | | | | | | | | prev_2) | (v__1(sortedList_first, nn, nn)
% 49.65/7.41 | | | | | | | | & ~ v__1(sortedList_first, prev_2,
% 49.65/7.41 | | | | | | | | prev_2))) & (v__1(null, prev_2, nn) |
% 49.65/7.41 | | | | | | | | (v__1(null, prev_2, prev_2) & ~ v__1(null,
% 49.65/7.41 | | | | | | | | nn, nn)))) | ( ~ (prev_2 = nn) &
% 49.65/7.41 | | | | | | | | v__1(null, prev_2, prev_2) & ( ~ v__1(null,
% 49.65/7.41 | | | | | | | | nn, nn) | v__1(null, prev_2, nn)) &
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))))
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, prev_2, nn)))))) &
% 49.65/7.41 | | | | | | | | (( ~ (prev_2 = nn) & v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.65/7.41 | | | | | | | | prev_2) | (v__1(sortedList_first, nn, nn) &
% 49.65/7.41 | | | | | | | | ~ v__1(sortedList_first, prev_2, prev_2))) &
% 49.65/7.41 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.41 | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.65/7.41 | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.65/7.41 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.41 | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, nn, nn)))))) | ((( ~
% 49.65/7.41 | | | | | | | | (all_33_12 = nn) & v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.65/7.41 | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn)
% 49.65/7.41 | | | | | | | | & ~ v__1(sortedList_first, all_33_12,
% 49.65/7.41 | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.65/7.41 | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.65/7.41 | | | | | | | | v__1(null, nn, nn)))) | ( ~ (all_33_12 = nn)
% 49.65/7.41 | | | | | | | | & v__1(null, all_33_12, all_33_12) & ( ~
% 49.65/7.41 | | | | | | | | v__1(null, nn, nn) | v__1(null, all_33_12, nn))
% 49.65/7.41 | | | | | | | | & (v__1(sortedList_first, nn, all_33_12) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.41 | | | | | | | | all_33_12)))) | (v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | all_33_12, all_33_12) & ( ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, all_33_12, nn)))) & (( ~
% 49.65/7.41 | | | | | | | | (prev_2 = nn) & v__1(sortedList_first, all_33_12,
% 49.65/7.41 | | | | | | | | nn) & (v__1(sortedList_first, nn, prev_2) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.65/7.41 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.41 | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.65/7.41 | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.65/7.41 | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.41 | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, nn, nn)))) | ((prev_2
% 49.65/7.41 | | | | | | | | = nn | ~ v__1(sortedList_first, prev_2, nn) |
% 49.65/7.41 | | | | | | | | ( ~ v__1(sortedList_first, nn, prev_2) & ( ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) |
% 49.65/7.41 | | | | | | | | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null,
% 49.65/7.41 | | | | | | | | prev_2, prev_2) | v__1(null, nn, nn)))) &
% 49.65/7.41 | | | | | | | | (prev_2 = nn | ~ v__1(null, prev_2, prev_2) |
% 49.65/7.41 | | | | | | | | (v__1(null, nn, nn) & ~ v__1(null, prev_2,
% 49.65/7.41 | | | | | | | | nn)) | ( ~ v__1(sortedList_first, nn,
% 49.65/7.41 | | | | | | | | prev_2) & ( ~ v__1(sortedList_first, nn,
% 49.65/7.41 | | | | | | | | nn) | v__1(sortedList_first, prev_2,
% 49.65/7.41 | | | | | | | | prev_2)))) & ( ~ v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | prev_2, prev_2) | (v__1(sortedList_first, nn,
% 49.65/7.41 | | | | | | | | nn) & ~ v__1(sortedList_first, prev_2,
% 49.65/7.41 | | | | | | | | nn))) & (( ~ (all_33_12 = nn) &
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, all_33_12, nn) &
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.41 | | | | | | | | all_33_12))) & (v__1(null, all_33_12,
% 49.65/7.41 | | | | | | | | nn) | (v__1(null, all_33_12, all_33_12) &
% 49.65/7.41 | | | | | | | | ~ v__1(null, nn, nn)))) | ( ~ (all_33_12
% 49.65/7.41 | | | | | | | | = nn) & v__1(null, all_33_12, all_33_12) &
% 49.65/7.41 | | | | | | | | ( ~ v__1(null, nn, nn) | v__1(null,
% 49.65/7.41 | | | | | | | | all_33_12, nn)) & (v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | nn, all_33_12) | (v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | nn, nn) & ~ v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | all_33_12, all_33_12)))) |
% 49.65/7.41 | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12) &
% 49.65/7.41 | | | | | | | | ( ~ v__1(sortedList_first, nn, nn) |
% 49.65/7.41 | | | | | | | | v__1(sortedList_first, all_33_12, nn)))))))
% 49.65/7.41 | | | | | | | |
% 49.65/7.41 | | | | | | | | BETA: splitting (131) gives:
% 49.65/7.41 | | | | | | | |
% 49.65/7.41 | | | | | | | | Case 1:
% 49.65/7.41 | | | | | | | | |
% 49.65/7.41 | | | | | | | | | (132) ~ (all_33_12 = prev_2) & ((all_33_9 = all_33_13 &
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, all_33_12, prev_2) &
% 49.65/7.41 | | | | | | | | | object(all_33_13) & ((all_33_10 = all_33_13 &
% 49.65/7.41 | | | | | | | | | all_33_11 = all_33_13 & v__1(all_33_13,
% 49.65/7.41 | | | | | | | | | prev_2, prev_2) & ~ v__1(all_33_13, nn,
% 49.65/7.41 | | | | | | | | | nn)) | (all_33_11 = all_33_13 &
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, prev_2, nn)))) | (all_33_11 =
% 49.65/7.41 | | | | | | | | | all_33_13 & ~ (prev_2 = nn) & v__1(all_33_13,
% 49.65/7.41 | | | | | | | | | all_33_12, nn) & object(all_33_13) &
% 49.65/7.41 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.41 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn))) &
% 49.65/7.41 | | | | | | | | | ((all_33_9 = all_33_13 & all_33_10 = all_33_13 &
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, nn, nn) & ~ v__1(all_33_13,
% 49.65/7.41 | | | | | | | | | prev_2, prev_2)) | (all_33_10 = all_33_13 &
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, nn, prev_2)))) | ( ~ (prev_2
% 49.65/7.41 | | | | | | | | | = nn) & v__1(null, all_33_12, prev_2) &
% 49.65/7.41 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.41 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn))) &
% 49.65/7.41 | | | | | | | | | ((all_33_10 = all_33_13 & all_33_11 = all_33_13 &
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, nn, nn) & object(all_33_13) &
% 49.65/7.41 | | | | | | | | | ~ v__1(all_33_13, prev_2, prev_2)) |
% 49.65/7.41 | | | | | | | | | (all_33_11 = all_33_13 & v__1(all_33_13, nn,
% 49.65/7.41 | | | | | | | | | prev_2) & object(all_33_13)))) | ((prev_2 =
% 49.65/7.41 | | | | | | | | | nn | ~ v__1(null, prev_2, prev_2) | (all_33_10
% 49.65/7.41 | | | | | | | | | = all_33_13 & object(all_33_13) & ~
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, nn, prev_2) & ((all_33_11 =
% 49.65/7.41 | | | | | | | | | all_33_13 & v__1(all_33_13, prev_2,
% 49.65/7.41 | | | | | | | | | prev_2)) | (all_33_11 = all_33_13 & ~
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, nn, nn)))) | (v__1(null,
% 49.65/7.41 | | | | | | | | | nn, nn) & ~ v__1(null, prev_2, nn))) &
% 49.65/7.41 | | | | | | | | | (prev_2 = nn | (all_33_8 = all_33_13 &
% 49.65/7.41 | | | | | | | | | object(all_33_13) & ~ v__1(all_33_13, nn,
% 49.65/7.41 | | | | | | | | | prev_2) & ((all_33_9 = all_33_13 &
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, prev_2, prev_2)) |
% 49.65/7.41 | | | | | | | | | (all_33_9 = all_33_13 & ~ v__1(all_33_13,
% 49.65/7.41 | | | | | | | | | nn, nn)))) | (all_33_9 = all_33_13 &
% 49.65/7.41 | | | | | | | | | object(all_33_13) & ~ v__1(all_33_13,
% 49.65/7.41 | | | | | | | | | prev_2, nn)) | ( ~ v__1(null, prev_2, nn) &
% 49.65/7.41 | | | | | | | | | ( ~ v__1(null, prev_2, prev_2) | v__1(null,
% 49.65/7.41 | | | | | | | | | nn, nn)))) & ((all_33_3 = all_33_13 &
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, all_33_12, all_33_12) &
% 49.65/7.41 | | | | | | | | | object(all_33_13) & ((all_33_4 = all_33_13 &
% 49.65/7.41 | | | | | | | | | all_33_5 = all_33_13 & ~ v__1(all_33_13,
% 49.65/7.41 | | | | | | | | | nn, nn)) | (all_33_5 = all_33_13 &
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, all_33_12, nn)))) |
% 49.65/7.41 | | | | | | | | | (all_33_5 = all_33_13 & ~ (all_33_12 = nn) &
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, all_33_12, nn) &
% 49.65/7.41 | | | | | | | | | object(all_33_13) & (v__1(null, all_33_12,
% 49.65/7.41 | | | | | | | | | nn) | (v__1(null, all_33_12, all_33_12) &
% 49.65/7.41 | | | | | | | | | ~ v__1(null, nn, nn))) & ((all_33_3 =
% 49.65/7.41 | | | | | | | | | all_33_13 & all_33_4 = all_33_13 &
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, nn, nn) & ~
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, all_33_12, all_33_12)) |
% 49.65/7.41 | | | | | | | | | (all_33_4 = all_33_13 & v__1(all_33_13, nn,
% 49.65/7.41 | | | | | | | | | all_33_12)))) | ( ~ (all_33_12 = nn) &
% 49.65/7.41 | | | | | | | | | v__1(null, all_33_12, all_33_12) & ( ~
% 49.65/7.41 | | | | | | | | | v__1(null, nn, nn) | v__1(null, all_33_12,
% 49.65/7.41 | | | | | | | | | nn)) & ((all_33_4 = all_33_13 & all_33_5
% 49.65/7.41 | | | | | | | | | = all_33_13 & v__1(all_33_13, nn, nn) &
% 49.65/7.41 | | | | | | | | | object(all_33_13) & ~ v__1(all_33_13,
% 49.65/7.41 | | | | | | | | | all_33_12, all_33_12)) | (all_33_5 =
% 49.65/7.41 | | | | | | | | | all_33_13 & v__1(all_33_13, nn,
% 49.65/7.41 | | | | | | | | | all_33_12) & object(all_33_13))))) &
% 49.65/7.41 | | | | | | | | | ((all_33_6 = all_33_13 & object(all_33_13) & ~
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, prev_2, nn) & ((all_33_7 =
% 49.65/7.41 | | | | | | | | | all_33_13 & v__1(all_33_13, nn, nn)) |
% 49.65/7.41 | | | | | | | | | (all_33_7 = all_33_13 & ~ v__1(all_33_13,
% 49.65/7.41 | | | | | | | | | prev_2, prev_2)))) | (all_33_7 =
% 49.65/7.41 | | | | | | | | | all_33_13 & object(all_33_13) & ~
% 49.65/7.41 | | | | | | | | | v__1(all_33_13, prev_2, prev_2))))) & (( ~
% 49.65/7.41 | | | | | | | | | (all_33_12 = nn) & v__1(sortedList_first, prev_2,
% 49.65/7.41 | | | | | | | | | nn) & (v__1(sortedList_first, nn, all_33_12) |
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.41 | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.65/7.41 | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.65/7.41 | | | | | | | | | v__1(null, nn, nn)))) | ( ~ (all_33_12 = nn)
% 49.65/7.41 | | | | | | | | | & v__1(null, prev_2, all_33_12) &
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.41 | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.65/7.41 | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.65/7.41 | | | | | | | | | v__1(null, nn, nn)))) |
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, prev_2, all_33_12) &
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, all_33_12, nn) |
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12) &
% 49.65/7.41 | | | | | | | | | ~ v__1(sortedList_first, nn, nn)))) |
% 49.65/7.41 | | | | | | | | | ((all_33_12 = nn | ~ v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | | all_33_12, nn) | ( ~ v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | | nn, all_33_12) & ( ~ v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | | nn, nn) | v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | | all_33_12, all_33_12))) | ( ~ v__1(null,
% 49.65/7.41 | | | | | | | | | all_33_12, nn) & ( ~ v__1(null, all_33_12,
% 49.65/7.41 | | | | | | | | | all_33_12) | v__1(null, nn, nn)))) &
% 49.65/7.41 | | | | | | | | | (all_33_12 = nn | ~ v__1(null, all_33_12,
% 49.65/7.41 | | | | | | | | | all_33_12) | (v__1(null, nn, nn) & ~
% 49.65/7.41 | | | | | | | | | v__1(null, all_33_12, nn)) | ( ~
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.65/7.41 | | | | | | | | | all_33_12)))) & ( ~
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, all_33_12, all_33_12) |
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, all_33_12, nn))) & ((
% 49.65/7.41 | | | | | | | | | ~ (prev_2 = nn) & v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | | prev_2, nn) & (v__1(sortedList_first, nn,
% 49.65/7.41 | | | | | | | | | prev_2) | (v__1(sortedList_first, nn, nn)
% 49.65/7.41 | | | | | | | | | & ~ v__1(sortedList_first, prev_2,
% 49.65/7.41 | | | | | | | | | prev_2))) & (v__1(null, prev_2, nn) |
% 49.65/7.41 | | | | | | | | | (v__1(null, prev_2, prev_2) & ~ v__1(null,
% 49.65/7.41 | | | | | | | | | nn, nn)))) | ( ~ (prev_2 = nn) &
% 49.65/7.41 | | | | | | | | | v__1(null, prev_2, prev_2) & ( ~ v__1(null,
% 49.65/7.41 | | | | | | | | | nn, nn) | v__1(null, prev_2, nn)) &
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))))
% 49.65/7.41 | | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, prev_2, nn)))))) &
% 49.65/7.41 | | | | | | | | | (( ~ (prev_2 = nn) & v__1(sortedList_first,
% 49.65/7.41 | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.65/7.41 | | | | | | | | | prev_2) | (v__1(sortedList_first, nn, nn) &
% 49.65/7.41 | | | | | | | | | ~ v__1(sortedList_first, prev_2, prev_2))) &
% 49.65/7.41 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.41 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.65/7.41 | | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.65/7.41 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.65/7.41 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.65/7.41 | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.65/7.41 | | | | | | | | | v__1(sortedList_first, nn, nn)))))
% 49.65/7.41 | | | | | | | | |
% 49.65/7.41 | | | | | | | | | ALPHA: (132) implies:
% 49.65/7.41 | | | | | | | | | (133) ~ (all_33_12 = prev_2)
% 49.79/7.41 | | | | | | | | | (134) ( ~ (prev_2 = nn) & v__1(sortedList_first, all_33_12,
% 49.79/7.41 | | | | | | | | | nn) & (v__1(sortedList_first, nn, prev_2) |
% 49.79/7.41 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.79/7.41 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.79/7.41 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.79/7.41 | | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.79/7.41 | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.79/7.41 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.79/7.41 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.79/7.41 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.79/7.41 | | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.79/7.41 | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.79/7.41 | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, nn, nn))))
% 49.79/7.41 | | | | | | | | | (135) ( ~ (all_33_12 = nn) & v__1(sortedList_first, prev_2,
% 49.79/7.41 | | | | | | | | | nn) & (v__1(sortedList_first, nn, all_33_12) |
% 49.79/7.41 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, all_33_12, all_33_12)))
% 49.79/7.41 | | | | | | | | | & (v__1(null, all_33_12, nn) | (v__1(null,
% 49.79/7.41 | | | | | | | | | all_33_12, all_33_12) & ~ v__1(null, nn,
% 49.79/7.41 | | | | | | | | | nn)))) | ( ~ (all_33_12 = nn) & v__1(null,
% 49.79/7.41 | | | | | | | | | prev_2, all_33_12) & (v__1(sortedList_first, nn,
% 49.79/7.41 | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn) &
% 49.79/7.41 | | | | | | | | | ~ v__1(sortedList_first, all_33_12,
% 49.79/7.41 | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.79/7.41 | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~ v__1(null,
% 49.79/7.41 | | | | | | | | | nn, nn)))) | (v__1(sortedList_first, prev_2,
% 49.79/7.41 | | | | | | | | | all_33_12) & (v__1(sortedList_first, all_33_12,
% 49.79/7.41 | | | | | | | | | nn) | (v__1(sortedList_first, all_33_12,
% 49.79/7.41 | | | | | | | | | all_33_12) & ~ v__1(sortedList_first, nn,
% 49.79/7.41 | | | | | | | | | nn)))) | ((all_33_12 = nn | ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, all_33_12, nn) | ( ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.79/7.41 | | | | | | | | | all_33_12))) | ( ~ v__1(null, all_33_12,
% 49.79/7.41 | | | | | | | | | nn) & ( ~ v__1(null, all_33_12, all_33_12) |
% 49.79/7.41 | | | | | | | | | v__1(null, nn, nn)))) & (all_33_12 = nn | ~
% 49.79/7.41 | | | | | | | | | v__1(null, all_33_12, all_33_12) | (v__1(null,
% 49.79/7.41 | | | | | | | | | nn, nn) & ~ v__1(null, all_33_12, nn)) | ( ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.79/7.41 | | | | | | | | | all_33_12)))) & ( ~ v__1(sortedList_first,
% 49.79/7.41 | | | | | | | | | all_33_12, all_33_12) | (v__1(sortedList_first,
% 49.79/7.41 | | | | | | | | | nn, nn) & ~ v__1(sortedList_first,
% 49.79/7.41 | | | | | | | | | all_33_12, nn))) & (( ~ (prev_2 = nn) &
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, prev_2, nn) &
% 49.79/7.41 | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.79/7.41 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.79/7.41 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.79/7.41 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.79/7.41 | | | | | | | | | (prev_2 = nn) & v__1(null, prev_2, prev_2) & (
% 49.79/7.41 | | | | | | | | | ~ v__1(null, nn, nn) | v__1(null, prev_2,
% 49.79/7.41 | | | | | | | | | nn)) & (v__1(sortedList_first, nn, prev_2)
% 49.79/7.41 | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2)))) |
% 49.79/7.41 | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.79/7.41 | | | | | | | | | v__1(sortedList_first, prev_2, nn)))))
% 49.79/7.41 | | | | | | | | |
% 49.79/7.41 | | | | | | | | | REDUCE: (115), (133) imply:
% 49.79/7.41 | | | | | | | | | (136) ~ (prev_2 = nn)
% 49.79/7.41 | | | | | | | | |
% 49.79/7.41 | | | | | | | | | SIMP: (136) implies:
% 49.79/7.41 | | | | | | | | | (137) ~ (prev_2 = nn)
% 49.79/7.41 | | | | | | | | |
% 49.79/7.41 | | | | | | | | | BETA: splitting (135) gives:
% 49.79/7.41 | | | | | | | | |
% 49.79/7.41 | | | | | | | | | Case 1:
% 49.79/7.41 | | | | | | | | | |
% 49.79/7.41 | | | | | | | | | | (138) ( ~ (all_33_12 = nn) & v__1(sortedList_first,
% 49.79/7.41 | | | | | | | | | | prev_2, nn) & (v__1(sortedList_first, nn,
% 49.79/7.41 | | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn)
% 49.79/7.41 | | | | | | | | | | & ~ v__1(sortedList_first, all_33_12,
% 49.79/7.41 | | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.79/7.41 | | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.79/7.41 | | | | | | | | | | v__1(null, nn, nn)))) | ( ~ (all_33_12 = nn)
% 49.79/7.41 | | | | | | | | | | & v__1(null, prev_2, all_33_12) &
% 49.79/7.41 | | | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.79/7.41 | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.41 | | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.79/7.41 | | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.79/7.41 | | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.79/7.41 | | | | | | | | | | v__1(null, nn, nn))))
% 49.79/7.41 | | | | | | | | | |
% 49.79/7.41 | | | | | | | | | | BETA: splitting (138) gives:
% 49.79/7.41 | | | | | | | | | |
% 49.79/7.41 | | | | | | | | | | Case 1:
% 49.79/7.41 | | | | | | | | | | |
% 49.79/7.41 | | | | | | | | | | | (139) ~ (all_33_12 = nn) & v__1(sortedList_first,
% 49.79/7.41 | | | | | | | | | | | prev_2, nn) & (v__1(sortedList_first, nn,
% 49.79/7.41 | | | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn) &
% 49.79/7.41 | | | | | | | | | | | ~ v__1(sortedList_first, all_33_12,
% 49.79/7.41 | | | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.79/7.41 | | | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.79/7.41 | | | | | | | | | | | v__1(null, nn, nn)))
% 49.79/7.41 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | ALPHA: (139) implies:
% 49.79/7.42 | | | | | | | | | | | (140) ~ (all_33_12 = nn)
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | REDUCE: (115), (140) imply:
% 49.79/7.42 | | | | | | | | | | | (141) $false
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | CLOSE: (141) is inconsistent.
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | Case 2:
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | (142) ~ (all_33_12 = nn) & v__1(null, prev_2,
% 49.79/7.42 | | | | | | | | | | | all_33_12) & (v__1(sortedList_first, nn,
% 49.79/7.42 | | | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn) &
% 49.79/7.42 | | | | | | | | | | | ~ v__1(sortedList_first, all_33_12,
% 49.79/7.42 | | | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.79/7.42 | | | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.79/7.42 | | | | | | | | | | | v__1(null, nn, nn)))
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | ALPHA: (142) implies:
% 49.79/7.42 | | | | | | | | | | | (143) ~ (all_33_12 = nn)
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | REDUCE: (115), (143) imply:
% 49.79/7.42 | | | | | | | | | | | (144) $false
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | CLOSE: (144) is inconsistent.
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | End of split
% 49.79/7.42 | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | Case 2:
% 49.79/7.42 | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | (145) (v__1(sortedList_first, prev_2, all_33_12) &
% 49.79/7.42 | | | | | | | | | | (v__1(sortedList_first, all_33_12, nn) |
% 49.79/7.42 | | | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12) &
% 49.79/7.42 | | | | | | | | | | ~ v__1(sortedList_first, nn, nn)))) |
% 49.79/7.42 | | | | | | | | | | ((all_33_12 = nn | ~ v__1(sortedList_first,
% 49.79/7.42 | | | | | | | | | | all_33_12, nn) | ( ~ v__1(sortedList_first,
% 49.79/7.42 | | | | | | | | | | nn, all_33_12) & ( ~ v__1(sortedList_first,
% 49.79/7.42 | | | | | | | | | | nn, nn) | v__1(sortedList_first,
% 49.79/7.42 | | | | | | | | | | all_33_12, all_33_12))) | ( ~ v__1(null,
% 49.79/7.42 | | | | | | | | | | all_33_12, nn) & ( ~ v__1(null, all_33_12,
% 49.79/7.42 | | | | | | | | | | all_33_12) | v__1(null, nn, nn)))) &
% 49.79/7.42 | | | | | | | | | | (all_33_12 = nn | ~ v__1(null, all_33_12,
% 49.79/7.42 | | | | | | | | | | all_33_12) | (v__1(null, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | v__1(null, all_33_12, nn)) | ( ~
% 49.79/7.42 | | | | | | | | | | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.79/7.42 | | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.79/7.42 | | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.79/7.42 | | | | | | | | | | all_33_12)))) & ( ~
% 49.79/7.42 | | | | | | | | | | v__1(sortedList_first, all_33_12, all_33_12) |
% 49.79/7.42 | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | v__1(sortedList_first, all_33_12, nn))) & ((
% 49.79/7.42 | | | | | | | | | | ~ (prev_2 = nn) & v__1(sortedList_first,
% 49.79/7.42 | | | | | | | | | | prev_2, nn) & (v__1(sortedList_first, nn,
% 49.79/7.42 | | | | | | | | | | prev_2) | (v__1(sortedList_first, nn, nn)
% 49.79/7.42 | | | | | | | | | | & ~ v__1(sortedList_first, prev_2,
% 49.79/7.42 | | | | | | | | | | prev_2))) & (v__1(null, prev_2, nn) |
% 49.79/7.42 | | | | | | | | | | (v__1(null, prev_2, prev_2) & ~ v__1(null,
% 49.79/7.42 | | | | | | | | | | nn, nn)))) | ( ~ (prev_2 = nn) &
% 49.79/7.42 | | | | | | | | | | v__1(null, prev_2, prev_2) & ( ~ v__1(null,
% 49.79/7.42 | | | | | | | | | | nn, nn) | v__1(null, prev_2, nn)) &
% 49.79/7.42 | | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.79/7.42 | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))))
% 49.79/7.42 | | | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.79/7.42 | | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.79/7.42 | | | | | | | | | | v__1(sortedList_first, prev_2, nn)))))
% 49.79/7.42 | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | BETA: splitting (145) gives:
% 49.79/7.42 | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | Case 1:
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | (146) v__1(sortedList_first, prev_2, all_33_12) &
% 49.79/7.42 | | | | | | | | | | | (v__1(sortedList_first, all_33_12, nn) |
% 49.79/7.42 | | | | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12) &
% 49.79/7.42 | | | | | | | | | | | ~ v__1(sortedList_first, nn, nn)))
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | ALPHA: (146) implies:
% 49.79/7.42 | | | | | | | | | | | (147) v__1(sortedList_first, prev_2, all_33_12)
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | REDUCE: (115), (147) imply:
% 49.79/7.42 | | | | | | | | | | | (148) v__1(sortedList_first, prev_2, nn)
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | BETA: splitting (134) gives:
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | Case 1:
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | (149) ~ (prev_2 = nn) & v__1(sortedList_first,
% 49.79/7.42 | | | | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.79/7.42 | | | | | | | | | | | | prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.79/7.42 | | | | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.79/7.42 | | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | ALPHA: (149) implies:
% 49.79/7.42 | | | | | | | | | | | | (150) v__1(sortedList_first, nn, prev_2) |
% 49.79/7.42 | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (6), (18), (19), (21), (38), (137),
% 49.79/7.42 | | | | | | | | | | | | (148), (150), (hyp_tptp_8) are inconsistent by
% 49.79/7.42 | | | | | | | | | | | | sub-proof #3.
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | Case 2:
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | (151) ( ~ (prev_2 = nn) & v__1(null, all_33_12, prev_2)
% 49.79/7.42 | | | | | | | | | | | | & (v__1(sortedList_first, nn, prev_2) |
% 49.79/7.42 | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.79/7.42 | | | | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.79/7.42 | | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.79/7.42 | | | | | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.79/7.42 | | | | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.79/7.42 | | | | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.79/7.42 | | | | | | | | | | | | v__1(sortedList_first, nn, nn))))
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | BETA: splitting (151) gives:
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | Case 1:
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | (152) ~ (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.79/7.42 | | | | | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.79/7.42 | | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.79/7.42 | | | | | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.79/7.42 | | | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | ALPHA: (152) implies:
% 49.79/7.42 | | | | | | | | | | | | | (153) v__1(null, all_33_12, prev_2)
% 49.79/7.42 | | | | | | | | | | | | | (154) v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.79/7.42 | | | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn))
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | REDUCE: (115), (153) imply:
% 49.79/7.42 | | | | | | | | | | | | | (155) v__1(null, nn, prev_2)
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | GROUND_INST: instantiating (8) with null, nn, prev_2,
% 49.79/7.42 | | | | | | | | | | | | | simplifying with (1), (2), (3), (18), (19), (20),
% 49.79/7.42 | | | | | | | | | | | | | (155) gives:
% 49.79/7.42 | | | | | | | | | | | | | (156) v__1(null, nn, nn)
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | BETA: splitting (154) gives:
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | Case 1:
% 49.79/7.42 | | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | | (157) v__1(null, prev_2, nn)
% 49.79/7.42 | | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | | GROUND_INST: instantiating (8) with null, prev_2, nn,
% 49.79/7.42 | | | | | | | | | | | | | | simplifying with (1), (2), (3), (18), (19), (20),
% 49.79/7.42 | | | | | | | | | | | | | | (157) gives:
% 49.79/7.42 | | | | | | | | | | | | | | (158) v__1(null, prev_2, prev_2)
% 49.79/7.42 | | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (16), (17), (18), (19), (20),
% 49.79/7.42 | | | | | | | | | | | | | | (156), (158), (hyp_tptp_9) are inconsistent by
% 49.79/7.42 | | | | | | | | | | | | | | sub-proof #1.
% 49.79/7.42 | | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | Case 2:
% 49.79/7.42 | | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | | (159) v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)
% 49.79/7.42 | | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | | ALPHA: (159) implies:
% 49.79/7.42 | | | | | | | | | | | | | | (160) v__1(null, prev_2, prev_2)
% 49.79/7.42 | | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (3), (16), (17), (18), (19), (20),
% 49.79/7.42 | | | | | | | | | | | | | | (156), (160), (hyp_tptp_9) are inconsistent by
% 49.79/7.42 | | | | | | | | | | | | | | sub-proof #1.
% 49.79/7.42 | | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | End of split
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | Case 2:
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | (161) v__1(sortedList_first, all_33_12, prev_2) &
% 49.79/7.42 | | | | | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.79/7.42 | | | | | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.79/7.42 | | | | | | | | | | | | | v__1(sortedList_first, nn, nn)))
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | ALPHA: (161) implies:
% 49.79/7.42 | | | | | | | | | | | | | (162) v__1(sortedList_first, all_33_12, prev_2)
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | REDUCE: (115), (162) imply:
% 49.79/7.42 | | | | | | | | | | | | | (163) v__1(sortedList_first, nn, prev_2)
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | GROUND_INST: instantiating (6) with prev_2, sortedList_first,
% 49.79/7.42 | | | | | | | | | | | | | nn, prev_2, simplifying with (1), (2), (4), (18),
% 49.79/7.42 | | | | | | | | | | | | | (19), (21), (148), (163) gives:
% 49.79/7.42 | | | | | | | | | | | | | (164) v__1(prev_2, nn, prev_2)
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | GROUND_INST: instantiating (hyp_tptp_8) with prev_2, nn,
% 49.79/7.42 | | | | | | | | | | | | | simplifying with (1), (2), (18), (19), (164)
% 49.79/7.42 | | | | | | | | | | | | | gives:
% 49.79/7.42 | | | | | | | | | | | | | (165) prev_2 = nn
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | REDUCE: (137), (165) imply:
% 49.79/7.42 | | | | | | | | | | | | | (166) $false
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | | CLOSE: (166) is inconsistent.
% 49.79/7.42 | | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | End of split
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | End of split
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | Case 2:
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | (167) (all_33_12 = nn | ~ v__1(sortedList_first,
% 49.79/7.42 | | | | | | | | | | | all_33_12, nn) | ( ~ v__1(sortedList_first,
% 49.79/7.42 | | | | | | | | | | | nn, all_33_12) & ( ~ v__1(sortedList_first,
% 49.79/7.42 | | | | | | | | | | | nn, nn) | v__1(sortedList_first,
% 49.79/7.42 | | | | | | | | | | | all_33_12, all_33_12))) | ( ~ v__1(null,
% 49.79/7.42 | | | | | | | | | | | all_33_12, nn) & ( ~ v__1(null, all_33_12,
% 49.79/7.42 | | | | | | | | | | | all_33_12) | v__1(null, nn, nn)))) &
% 49.79/7.42 | | | | | | | | | | | (all_33_12 = nn | ~ v__1(null, all_33_12,
% 49.79/7.42 | | | | | | | | | | | all_33_12) | (v__1(null, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | | v__1(null, all_33_12, nn)) | ( ~
% 49.79/7.42 | | | | | | | | | | | v__1(sortedList_first, nn, all_33_12) & ( ~
% 49.79/7.42 | | | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.79/7.42 | | | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.79/7.42 | | | | | | | | | | | all_33_12)))) & ( ~ v__1(sortedList_first,
% 49.79/7.42 | | | | | | | | | | | all_33_12, all_33_12) |
% 49.79/7.42 | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | | v__1(sortedList_first, all_33_12, nn))) & (( ~
% 49.79/7.42 | | | | | | | | | | | (prev_2 = nn) & v__1(sortedList_first, prev_2,
% 49.79/7.42 | | | | | | | | | | | nn) & (v__1(sortedList_first, nn, prev_2) |
% 49.79/7.42 | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.79/7.42 | | | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.79/7.42 | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.79/7.42 | | | | | | | | | | | (prev_2 = nn) & v__1(null, prev_2, prev_2) & (
% 49.79/7.42 | | | | | | | | | | | ~ v__1(null, nn, nn) | v__1(null, prev_2,
% 49.79/7.42 | | | | | | | | | | | nn)) & (v__1(sortedList_first, nn, prev_2)
% 49.79/7.42 | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))))
% 49.79/7.42 | | | | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ( ~
% 49.79/7.42 | | | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.79/7.42 | | | | | | | | | | | v__1(sortedList_first, prev_2, nn))))
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | ALPHA: (167) implies:
% 49.79/7.42 | | | | | | | | | | | (168) ~ v__1(sortedList_first, all_33_12, all_33_12) |
% 49.79/7.42 | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | | v__1(sortedList_first, all_33_12, nn))
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | BETA: splitting (168) gives:
% 49.79/7.42 | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | Case 1:
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | (169) ~ v__1(sortedList_first, all_33_12, all_33_12)
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | REDUCE: (115), (169) imply:
% 49.79/7.42 | | | | | | | | | | | | (170) ~ v__1(sortedList_first, nn, nn)
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | PRED_UNIFY: (39), (170) imply:
% 49.79/7.42 | | | | | | | | | | | | (171) $false
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | CLOSE: (171) is inconsistent.
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | Case 2:
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | (172) v__1(sortedList_first, nn, nn) & ~
% 49.79/7.42 | | | | | | | | | | | | v__1(sortedList_first, all_33_12, nn)
% 49.79/7.42 | | | | | | | | | | | |
% 49.79/7.42 | | | | | | | | | | | | ALPHA: (172) implies:
% 49.79/7.42 | | | | | | | | | | | | (173) ~ v__1(sortedList_first, all_33_12, nn)
% 49.79/7.42 | | | | | | | | | | | |
% 49.84/7.42 | | | | | | | | | | | | REDUCE: (115), (173) imply:
% 49.84/7.42 | | | | | | | | | | | | (174) ~ v__1(sortedList_first, nn, nn)
% 49.84/7.42 | | | | | | | | | | | |
% 49.84/7.42 | | | | | | | | | | | | PRED_UNIFY: (39), (174) imply:
% 49.84/7.42 | | | | | | | | | | | | (175) $false
% 49.84/7.42 | | | | | | | | | | | |
% 49.84/7.42 | | | | | | | | | | | | CLOSE: (175) is inconsistent.
% 49.84/7.42 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | End of split
% 49.84/7.43 | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | End of split
% 49.84/7.43 | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | End of split
% 49.84/7.43 | | | | | | | | |
% 49.84/7.43 | | | | | | | | Case 2:
% 49.84/7.43 | | | | | | | | |
% 49.84/7.43 | | | | | | | | | (176) (( ~ (all_33_12 = nn) & v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.84/7.43 | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn, nn)
% 49.84/7.43 | | | | | | | | | & ~ v__1(sortedList_first, all_33_12,
% 49.84/7.43 | | | | | | | | | all_33_12))) & (v__1(null, all_33_12, nn) |
% 49.84/7.43 | | | | | | | | | (v__1(null, all_33_12, all_33_12) & ~
% 49.84/7.43 | | | | | | | | | v__1(null, nn, nn)))) | ( ~ (all_33_12 = nn)
% 49.84/7.43 | | | | | | | | | & v__1(null, all_33_12, all_33_12) & ( ~
% 49.84/7.43 | | | | | | | | | v__1(null, nn, nn) | v__1(null, all_33_12, nn))
% 49.84/7.43 | | | | | | | | | & (v__1(sortedList_first, nn, all_33_12) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.84/7.43 | | | | | | | | | all_33_12)))) | (v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | all_33_12, all_33_12) & ( ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, all_33_12, nn)))) & (( ~
% 49.84/7.43 | | | | | | | | | (prev_2 = nn) & v__1(sortedList_first, all_33_12,
% 49.84/7.43 | | | | | | | | | nn) & (v__1(sortedList_first, nn, prev_2) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.84/7.43 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.84/7.43 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.84/7.43 | | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.84/7.43 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.84/7.43 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, nn, nn)))) | ((prev_2
% 49.84/7.43 | | | | | | | | | = nn | ~ v__1(sortedList_first, prev_2, nn) |
% 49.84/7.43 | | | | | | | | | ( ~ v__1(sortedList_first, nn, prev_2) & ( ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) |
% 49.84/7.43 | | | | | | | | | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null,
% 49.84/7.43 | | | | | | | | | prev_2, prev_2) | v__1(null, nn, nn)))) &
% 49.84/7.43 | | | | | | | | | (prev_2 = nn | ~ v__1(null, prev_2, prev_2) |
% 49.84/7.43 | | | | | | | | | (v__1(null, nn, nn) & ~ v__1(null, prev_2,
% 49.84/7.43 | | | | | | | | | nn)) | ( ~ v__1(sortedList_first, nn,
% 49.84/7.43 | | | | | | | | | prev_2) & ( ~ v__1(sortedList_first, nn,
% 49.84/7.43 | | | | | | | | | nn) | v__1(sortedList_first, prev_2,
% 49.84/7.43 | | | | | | | | | prev_2)))) & ( ~ v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | prev_2, prev_2) | (v__1(sortedList_first, nn,
% 49.84/7.43 | | | | | | | | | nn) & ~ v__1(sortedList_first, prev_2,
% 49.84/7.43 | | | | | | | | | nn))) & (( ~ (all_33_12 = nn) &
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, all_33_12, nn) &
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.84/7.43 | | | | | | | | | all_33_12))) & (v__1(null, all_33_12,
% 49.84/7.43 | | | | | | | | | nn) | (v__1(null, all_33_12, all_33_12) &
% 49.84/7.43 | | | | | | | | | ~ v__1(null, nn, nn)))) | ( ~ (all_33_12
% 49.84/7.43 | | | | | | | | | = nn) & v__1(null, all_33_12, all_33_12) &
% 49.84/7.43 | | | | | | | | | ( ~ v__1(null, nn, nn) | v__1(null,
% 49.84/7.43 | | | | | | | | | all_33_12, nn)) & (v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | nn, all_33_12) | (v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | nn, nn) & ~ v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | all_33_12, all_33_12)))) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12) &
% 49.84/7.43 | | | | | | | | | ( ~ v__1(sortedList_first, nn, nn) |
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, all_33_12, nn))))))
% 49.84/7.43 | | | | | | | | |
% 49.84/7.43 | | | | | | | | | ALPHA: (176) implies:
% 49.84/7.43 | | | | | | | | | (177) ( ~ (prev_2 = nn) & v__1(sortedList_first, all_33_12,
% 49.84/7.43 | | | | | | | | | nn) & (v__1(sortedList_first, nn, prev_2) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.84/7.43 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.84/7.43 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.84/7.43 | | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.84/7.43 | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.84/7.43 | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, all_33_12, prev_2) &
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, nn, nn)))) | ((prev_2 =
% 49.84/7.43 | | | | | | | | | nn | ~ v__1(sortedList_first, prev_2, nn) | ( ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, nn, prev_2) & ( ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) | (
% 49.84/7.43 | | | | | | | | | ~ v__1(null, prev_2, nn) & ( ~ v__1(null,
% 49.84/7.43 | | | | | | | | | prev_2, prev_2) | v__1(null, nn, nn)))) &
% 49.84/7.43 | | | | | | | | | (prev_2 = nn | ~ v__1(null, prev_2, prev_2) |
% 49.84/7.43 | | | | | | | | | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))
% 49.84/7.43 | | | | | | | | | | ( ~ v__1(sortedList_first, nn, prev_2) & ( ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, prev_2, prev_2)))) & (
% 49.84/7.43 | | | | | | | | | ~ v__1(sortedList_first, prev_2, prev_2) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, prev_2, nn))) & (( ~
% 49.84/7.43 | | | | | | | | | (all_33_12 = nn) & v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.84/7.43 | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn,
% 49.84/7.43 | | | | | | | | | nn) & ~ v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | all_33_12, all_33_12))) & (v__1(null,
% 49.84/7.43 | | | | | | | | | all_33_12, nn) | (v__1(null, all_33_12,
% 49.84/7.43 | | | | | | | | | all_33_12) & ~ v__1(null, nn, nn)))) | (
% 49.84/7.43 | | | | | | | | | ~ (all_33_12 = nn) & v__1(null, all_33_12,
% 49.84/7.43 | | | | | | | | | all_33_12) & ( ~ v__1(null, nn, nn) |
% 49.84/7.43 | | | | | | | | | v__1(null, all_33_12, nn)) &
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.84/7.43 | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.84/7.43 | | | | | | | | | all_33_12)))) | (v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | all_33_12, all_33_12) & ( ~
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.84/7.43 | | | | | | | | | v__1(sortedList_first, all_33_12, nn)))))
% 49.84/7.43 | | | | | | | | |
% 49.84/7.43 | | | | | | | | | BETA: splitting (44) gives:
% 49.84/7.43 | | | | | | | | |
% 49.84/7.43 | | | | | | | | | Case 1:
% 49.84/7.43 | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | (178) v__1(sortedList_first, prev_2, nn)
% 49.84/7.43 | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | BETA: splitting (177) gives:
% 49.84/7.43 | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | Case 1:
% 49.84/7.43 | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | (179) ( ~ (prev_2 = nn) & v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.84/7.43 | | | | | | | | | | | prev_2) | (v__1(sortedList_first, nn, nn) &
% 49.84/7.43 | | | | | | | | | | | ~ v__1(sortedList_first, prev_2, prev_2))) &
% 49.84/7.43 | | | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.84/7.43 | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))) | ( ~
% 49.84/7.43 | | | | | | | | | | | (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.84/7.43 | | | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.84/7.43 | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.84/7.43 | | | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.84/7.43 | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn))))
% 49.84/7.43 | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | BETA: splitting (179) gives:
% 49.84/7.43 | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | Case 1:
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | (180) ~ (prev_2 = nn) & v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.84/7.43 | | | | | | | | | | | | prev_2) | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.84/7.43 | | | | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.84/7.43 | | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | ALPHA: (180) implies:
% 49.84/7.43 | | | | | | | | | | | | (181) ~ (prev_2 = nn)
% 49.84/7.43 | | | | | | | | | | | | (182) v__1(sortedList_first, nn, prev_2) |
% 49.84/7.43 | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (6), (18), (19), (21), (38), (178),
% 49.84/7.43 | | | | | | | | | | | | (181), (182), (hyp_tptp_8) are inconsistent by
% 49.84/7.43 | | | | | | | | | | | | sub-proof #3.
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | Case 2:
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | (183) ~ (prev_2 = nn) & v__1(null, all_33_12, prev_2) &
% 49.84/7.43 | | | | | | | | | | | | (v__1(sortedList_first, nn, prev_2) |
% 49.84/7.43 | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) &
% 49.84/7.43 | | | | | | | | | | | | (v__1(null, prev_2, nn) | (v__1(null, prev_2,
% 49.84/7.43 | | | | | | | | | | | | prev_2) & ~ v__1(null, nn, nn)))
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | ALPHA: (183) implies:
% 49.84/7.43 | | | | | | | | | | | | (184) ~ (prev_2 = nn)
% 49.84/7.43 | | | | | | | | | | | | (185) v__1(sortedList_first, nn, prev_2) |
% 49.84/7.43 | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | REF_CLOSE: (1), (2), (4), (6), (18), (19), (21), (38), (178),
% 49.84/7.43 | | | | | | | | | | | | (184), (185), (hyp_tptp_8) are inconsistent by
% 49.84/7.43 | | | | | | | | | | | | sub-proof #3.
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | End of split
% 49.84/7.43 | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | Case 2:
% 49.84/7.43 | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | (186) (v__1(sortedList_first, all_33_12, prev_2) &
% 49.84/7.43 | | | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.84/7.43 | | | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.84/7.43 | | | | | | | | | | | v__1(sortedList_first, nn, nn)))) | ((prev_2
% 49.84/7.43 | | | | | | | | | | | = nn | ~ v__1(sortedList_first, prev_2, nn) |
% 49.84/7.43 | | | | | | | | | | | ( ~ v__1(sortedList_first, nn, prev_2) & ( ~
% 49.84/7.43 | | | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.84/7.43 | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) |
% 49.84/7.43 | | | | | | | | | | | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null,
% 49.84/7.43 | | | | | | | | | | | prev_2, prev_2) | v__1(null, nn, nn))))
% 49.84/7.43 | | | | | | | | | | | & (prev_2 = nn | ~ v__1(null, prev_2, prev_2) |
% 49.84/7.43 | | | | | | | | | | | (v__1(null, nn, nn) & ~ v__1(null, prev_2,
% 49.84/7.43 | | | | | | | | | | | nn)) | ( ~ v__1(sortedList_first, nn,
% 49.84/7.43 | | | | | | | | | | | prev_2) & ( ~ v__1(sortedList_first, nn,
% 49.84/7.43 | | | | | | | | | | | nn) | v__1(sortedList_first, prev_2,
% 49.84/7.43 | | | | | | | | | | | prev_2)))) & ( ~ v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | | | prev_2, prev_2) | (v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | | | nn, nn) & ~ v__1(sortedList_first,
% 49.84/7.43 | | | | | | | | | | | prev_2, nn))) & (( ~ (all_33_12 = nn) &
% 49.84/7.43 | | | | | | | | | | | v__1(sortedList_first, all_33_12, nn) &
% 49.84/7.43 | | | | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.84/7.43 | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.84/7.43 | | | | | | | | | | | all_33_12))) & (v__1(null, all_33_12,
% 49.84/7.43 | | | | | | | | | | | nn) | (v__1(null, all_33_12, all_33_12)
% 49.84/7.43 | | | | | | | | | | | & ~ v__1(null, nn, nn)))) | ( ~
% 49.84/7.43 | | | | | | | | | | | (all_33_12 = nn) & v__1(null, all_33_12,
% 49.84/7.43 | | | | | | | | | | | all_33_12) & ( ~ v__1(null, nn, nn) |
% 49.84/7.43 | | | | | | | | | | | v__1(null, all_33_12, nn)) &
% 49.84/7.43 | | | | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.84/7.43 | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.43 | | | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.84/7.43 | | | | | | | | | | | all_33_12)))) |
% 49.84/7.43 | | | | | | | | | | | (v__1(sortedList_first, all_33_12, all_33_12)
% 49.84/7.43 | | | | | | | | | | | & ( ~ v__1(sortedList_first, nn, nn) |
% 49.84/7.43 | | | | | | | | | | | v__1(sortedList_first, all_33_12, nn)))))
% 49.84/7.43 | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | BETA: splitting (186) gives:
% 49.84/7.43 | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | Case 1:
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | (187) v__1(sortedList_first, all_33_12, prev_2) &
% 49.84/7.43 | | | | | | | | | | | | (v__1(sortedList_first, prev_2, nn) |
% 49.84/7.43 | | | | | | | | | | | | (v__1(sortedList_first, prev_2, prev_2) & ~
% 49.84/7.43 | | | | | | | | | | | | v__1(sortedList_first, nn, nn)))
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | ALPHA: (187) implies:
% 49.84/7.43 | | | | | | | | | | | | (188) v__1(sortedList_first, all_33_12, prev_2)
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | REDUCE: (115), (188) imply:
% 49.84/7.43 | | | | | | | | | | | | (189) v__1(sortedList_first, nn, prev_2)
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | GROUND_INST: instantiating (6) with prev_2, sortedList_first,
% 49.84/7.43 | | | | | | | | | | | | nn, prev_2, simplifying with (1), (2), (4), (18),
% 49.84/7.43 | | | | | | | | | | | | (19), (21), (178), (189) gives:
% 49.84/7.43 | | | | | | | | | | | | (190) v__1(prev_2, nn, prev_2)
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | GROUND_INST: instantiating (hyp_tptp_8) with prev_2, nn,
% 49.84/7.43 | | | | | | | | | | | | simplifying with (1), (2), (18), (19), (190)
% 49.84/7.43 | | | | | | | | | | | | gives:
% 49.84/7.43 | | | | | | | | | | | | (191) prev_2 = nn
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | REDUCE: (43), (191) imply:
% 49.84/7.43 | | | | | | | | | | | | (192) node_next(nn) = nn
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | GROUND_INST: instantiating (23) with all_33_13, nn, nn,
% 49.84/7.43 | | | | | | | | | | | | simplifying with (35), (192) gives:
% 49.84/7.43 | | | | | | | | | | | | (193) all_33_13 = nn
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | REDUCE: (59), (193) imply:
% 49.84/7.43 | | | | | | | | | | | | (194) v__1(nn, nn, nn)
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | REDUCE: (58), (193) imply:
% 49.84/7.43 | | | | | | | | | | | | (195) ~ v__1(nn, nn, nn)
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | PRED_UNIFY: (194), (195) imply:
% 49.84/7.43 | | | | | | | | | | | | (196) $false
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | | CLOSE: (196) is inconsistent.
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.43 | | | | | | | | | | | Case 2:
% 49.84/7.43 | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | (197) (prev_2 = nn | ~ v__1(sortedList_first, prev_2,
% 49.84/7.44 | | | | | | | | | | | | nn) | ( ~ v__1(sortedList_first, nn, prev_2) &
% 49.84/7.44 | | | | | | | | | | | | ( ~ v__1(sortedList_first, nn, nn) |
% 49.84/7.44 | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2))) | (
% 49.84/7.44 | | | | | | | | | | | | ~ v__1(null, prev_2, nn) & ( ~ v__1(null,
% 49.84/7.44 | | | | | | | | | | | | prev_2, prev_2) | v__1(null, nn, nn)))) &
% 49.84/7.44 | | | | | | | | | | | | (prev_2 = nn | ~ v__1(null, prev_2, prev_2) |
% 49.84/7.44 | | | | | | | | | | | | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))
% 49.84/7.44 | | | | | | | | | | | | | ( ~ v__1(sortedList_first, nn, prev_2) & ( ~
% 49.84/7.44 | | | | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.84/7.44 | | | | | | | | | | | | v__1(sortedList_first, prev_2, prev_2)))) &
% 49.84/7.44 | | | | | | | | | | | | ( ~ v__1(sortedList_first, prev_2, prev_2) |
% 49.84/7.44 | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.44 | | | | | | | | | | | | v__1(sortedList_first, prev_2, nn))) & (( ~
% 49.84/7.44 | | | | | | | | | | | | (all_33_12 = nn) & v__1(sortedList_first,
% 49.84/7.44 | | | | | | | | | | | | all_33_12, nn) & (v__1(sortedList_first, nn,
% 49.84/7.44 | | | | | | | | | | | | all_33_12) | (v__1(sortedList_first, nn,
% 49.84/7.44 | | | | | | | | | | | | nn) & ~ v__1(sortedList_first,
% 49.84/7.44 | | | | | | | | | | | | all_33_12, all_33_12))) & (v__1(null,
% 49.84/7.44 | | | | | | | | | | | | all_33_12, nn) | (v__1(null, all_33_12,
% 49.84/7.44 | | | | | | | | | | | | all_33_12) & ~ v__1(null, nn, nn)))) |
% 49.84/7.44 | | | | | | | | | | | | ( ~ (all_33_12 = nn) & v__1(null, all_33_12,
% 49.84/7.44 | | | | | | | | | | | | all_33_12) & ( ~ v__1(null, nn, nn) |
% 49.84/7.44 | | | | | | | | | | | | v__1(null, all_33_12, nn)) &
% 49.84/7.44 | | | | | | | | | | | | (v__1(sortedList_first, nn, all_33_12) |
% 49.84/7.44 | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.44 | | | | | | | | | | | | v__1(sortedList_first, all_33_12,
% 49.84/7.44 | | | | | | | | | | | | all_33_12)))) | (v__1(sortedList_first,
% 49.84/7.44 | | | | | | | | | | | | all_33_12, all_33_12) & ( ~
% 49.84/7.44 | | | | | | | | | | | | v__1(sortedList_first, nn, nn) |
% 49.84/7.44 | | | | | | | | | | | | v__1(sortedList_first, all_33_12, nn))))
% 49.84/7.44 | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | ALPHA: (197) implies:
% 49.84/7.44 | | | | | | | | | | | | (198) ~ v__1(sortedList_first, prev_2, prev_2) |
% 49.84/7.44 | | | | | | | | | | | | (v__1(sortedList_first, nn, nn) & ~
% 49.84/7.44 | | | | | | | | | | | | v__1(sortedList_first, prev_2, nn))
% 49.84/7.44 | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | BETA: splitting (198) gives:
% 49.84/7.44 | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | Case 1:
% 49.84/7.44 | | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | | (199) ~ v__1(sortedList_first, prev_2, prev_2)
% 49.84/7.44 | | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | | PRED_UNIFY: (38), (199) imply:
% 49.84/7.44 | | | | | | | | | | | | | (200) $false
% 49.84/7.44 | | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | | CLOSE: (200) is inconsistent.
% 49.84/7.44 | | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | Case 2:
% 49.84/7.44 | | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | | (201) v__1(sortedList_first, nn, nn) & ~
% 49.84/7.44 | | | | | | | | | | | | | v__1(sortedList_first, prev_2, nn)
% 49.84/7.44 | | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | | ALPHA: (201) implies:
% 49.84/7.44 | | | | | | | | | | | | | (202) ~ v__1(sortedList_first, prev_2, nn)
% 49.84/7.44 | | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | | PRED_UNIFY: (178), (202) imply:
% 49.84/7.44 | | | | | | | | | | | | | (203) $false
% 49.84/7.44 | | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | | CLOSE: (203) is inconsistent.
% 49.84/7.44 | | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | | End of split
% 49.84/7.44 | | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | | End of split
% 49.84/7.44 | | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | End of split
% 49.84/7.44 | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | Case 2:
% 49.84/7.44 | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | (204) ~ v__1(sortedList_first, prev_2, nn)
% 49.84/7.44 | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | | REF_CLOSE: (1), (2), (4), (5), (9), (18), (19), (21), (46),
% 49.84/7.44 | | | | | | | | | | (47), (56), (58), (62), (63), (204), (hyp_tptp_2)
% 49.84/7.44 | | | | | | | | | | are inconsistent by sub-proof #2.
% 49.84/7.44 | | | | | | | | | |
% 49.84/7.44 | | | | | | | | | End of split
% 49.84/7.44 | | | | | | | | |
% 49.84/7.44 | | | | | | | | End of split
% 49.84/7.44 | | | | | | | |
% 49.84/7.44 | | | | | | | End of split
% 49.84/7.44 | | | | | | |
% 49.84/7.44 | | | | | | End of split
% 49.84/7.44 | | | | | |
% 49.84/7.44 | | | | | Case 2:
% 49.84/7.44 | | | | | |
% 49.84/7.44 | | | | | | (205) ~ object(all_77_0)
% 49.84/7.44 | | | | | |
% 49.84/7.44 | | | | | | REDUCE: (55), (205) imply:
% 49.84/7.44 | | | | | | (206) ~ object(all_33_13)
% 49.84/7.44 | | | | | |
% 49.84/7.44 | | | | | | PRED_UNIFY: (46), (206) imply:
% 49.84/7.44 | | | | | | (207) $false
% 49.84/7.44 | | | | | |
% 49.84/7.44 | | | | | | CLOSE: (207) is inconsistent.
% 49.84/7.44 | | | | | |
% 49.84/7.44 | | | | | End of split
% 49.84/7.44 | | | | |
% 49.84/7.44 | | | | End of split
% 49.84/7.44 | | | |
% 49.84/7.44 | | | End of split
% 49.84/7.44 | | |
% 49.84/7.44 | | Case 2:
% 49.84/7.44 | | |
% 49.84/7.44 | | | (208) null = nn
% 49.84/7.44 | | |
% 49.84/7.44 | | | REDUCE: (16), (208) imply:
% 49.84/7.44 | | | (209) $false
% 49.84/7.44 | | |
% 49.84/7.44 | | | CLOSE: (209) is inconsistent.
% 49.84/7.44 | | |
% 49.84/7.44 | | End of split
% 49.84/7.44 | |
% 49.84/7.44 | Case 2:
% 49.84/7.44 | |
% 49.84/7.44 | | (210) null = prev_2
% 49.84/7.44 | |
% 49.84/7.44 | | REDUCE: (10), (210) imply:
% 49.84/7.44 | | (211) $false
% 49.84/7.44 | |
% 49.84/7.44 | | CLOSE: (211) is inconsistent.
% 49.84/7.44 | |
% 49.84/7.44 | End of split
% 49.84/7.44 |
% 49.84/7.44 End of proof
% 49.84/7.44
% 49.84/7.44 Sub-proof #1 shows that the following formulas are inconsistent:
% 49.84/7.44 ----------------------------------------------------------------
% 49.84/7.44 (1) object(prev_2)
% 49.84/7.44 (2) object(nn)
% 49.84/7.44 (3) node_next(null) = null
% 49.84/7.44 (4) v__1(null, prev_2, prev_2)
% 49.84/7.44 (5) $i(nn)
% 49.84/7.44 (6) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (node_next(v0) = v0) | ~
% 49.84/7.44 $i(v1) | ~ $i(v0) | ~ v__1(v0, v1, v1) | ~ object(v1) | ~
% 49.84/7.44 object(v0))
% 49.84/7.44 (7) v__1(null, nn, nn)
% 49.84/7.44 (8) ~ (null = nn)
% 49.84/7.44 (9) object(null)
% 49.84/7.44 (10) $i(null)
% 49.84/7.44 (11) $i(prev_2)
% 49.84/7.44
% 49.84/7.44 Begin of proof
% 49.84/7.44 |
% 49.84/7.44 | GROUND_INST: instantiating (6) with null, nn, simplifying with (2), (3), (5),
% 49.84/7.44 | (7), (9), (10) gives:
% 49.84/7.44 | (12) null = nn
% 49.84/7.44 |
% 49.84/7.44 | GROUND_INST: instantiating (6) with null, prev_2, simplifying with (1), (3),
% 49.84/7.44 | (4), (9), (10), (11) gives:
% 49.84/7.44 | (13) null = prev_2
% 49.84/7.44 |
% 49.84/7.44 | COMBINE_EQS: (12), (13) imply:
% 49.84/7.44 | (14) prev_2 = nn
% 49.84/7.44 |
% 49.84/7.44 | REDUCE: (8), (12) imply:
% 49.84/7.44 | (15) $false
% 49.84/7.44 |
% 49.84/7.44 | CLOSE: (15) is inconsistent.
% 49.84/7.44 |
% 49.84/7.44 End of proof
% 49.84/7.44
% 49.84/7.44 Sub-proof #2 shows that the following formulas are inconsistent:
% 49.84/7.44 ----------------------------------------------------------------
% 49.84/7.44 (1) ~ v__1(sortedList_first, prev_2, nn)
% 49.84/7.44 (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 49.84/7.44 $i(v0) | ~ v__1(v0, v1, v2) | ~ object(v2) | ~ object(v1) | ~
% 49.84/7.44 object(v0) | v__1(v1, v2, v2))
% 49.84/7.44 (3) object(all_33_13)
% 49.84/7.44 (4) object(sortedList_first)
% 49.84/7.44 (5) v__1(prev_2, nn, nn)
% 49.84/7.44 (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 49.84/7.44 $i(v0) | ~ v__1(v1, v2, v2) | ~ v__1(v0, v1, v1) | ~ object(v2) | ~
% 49.84/7.44 object(v1) | ~ object(v0) | v__1(v0, v2, v2))
% 49.84/7.44 (7) object(prev_2)
% 49.84/7.44 (8) v__1(sortedList_first, all_33_13, prev_2) | v__1(sortedList_first,
% 49.84/7.44 prev_2, all_33_13)
% 49.84/7.44 (9) v__1(prev_2, all_33_13, nn) | v__1(prev_2, nn, all_33_13)
% 49.84/7.44 (10) object(nn)
% 49.84/7.44 (11) $i(nn)
% 49.84/7.44 (12) ~ v__1(all_33_13, nn, nn)
% 49.84/7.44 (13) $i(sortedList_first)
% 49.84/7.44 (14) $i(all_33_13)
% 49.84/7.44 (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~
% 49.84/7.44 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ v__1(v2, v0, v3) | ~ v__1(v1, v2,
% 49.84/7.44 v3) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0)
% 49.84/7.44 | v__1(v1, v2, v0))
% 49.84/7.44 (16) $i(prev_2)
% 49.84/7.44
% 49.84/7.44 Begin of proof
% 49.84/7.44 |
% 49.84/7.44 | BETA: splitting (9) gives:
% 49.84/7.44 |
% 49.84/7.44 | Case 1:
% 49.84/7.44 | |
% 49.84/7.44 | | (17) v__1(prev_2, all_33_13, nn)
% 49.84/7.44 | |
% 49.84/7.44 | | GROUND_INST: instantiating (2) with prev_2, all_33_13, nn, simplifying with
% 49.84/7.44 | | (3), (7), (10), (11), (12), (14), (16), (17) gives:
% 49.84/7.44 | | (18) $false
% 49.84/7.44 | |
% 49.84/7.44 | | CLOSE: (18) is inconsistent.
% 49.84/7.44 | |
% 49.84/7.44 | Case 2:
% 49.84/7.44 | |
% 49.84/7.44 | | (19) v__1(prev_2, nn, all_33_13)
% 49.84/7.44 | |
% 49.84/7.44 | | BETA: splitting (8) gives:
% 49.84/7.44 | |
% 49.84/7.44 | | Case 1:
% 49.84/7.44 | | |
% 49.84/7.44 | | | (20) v__1(sortedList_first, all_33_13, prev_2)
% 49.84/7.44 | | |
% 49.84/7.44 | | | GROUND_INST: instantiating (2) with sortedList_first, all_33_13, prev_2,
% 49.84/7.44 | | | simplifying with (3), (4), (7), (13), (14), (16), (20) gives:
% 49.84/7.44 | | | (21) v__1(all_33_13, prev_2, prev_2)
% 49.84/7.44 | | |
% 49.84/7.44 | | | GROUND_INST: instantiating (6) with all_33_13, prev_2, nn, simplifying
% 49.84/7.44 | | | with (3), (5), (7), (10), (11), (12), (14), (16), (21) gives:
% 49.84/7.44 | | | (22) $false
% 49.84/7.44 | | |
% 49.84/7.44 | | | CLOSE: (22) is inconsistent.
% 49.84/7.44 | | |
% 49.84/7.44 | | Case 2:
% 49.84/7.44 | | |
% 49.84/7.44 | | | (23) v__1(sortedList_first, prev_2, all_33_13)
% 49.84/7.44 | | |
% 49.84/7.44 | | | GROUND_INST: instantiating (15) with nn, sortedList_first, prev_2,
% 49.84/7.44 | | | all_33_13, simplifying with (1), (3), (4), (7), (10), (11),
% 49.84/7.44 | | | (13), (14), (16), (19), (23) gives:
% 49.84/7.44 | | | (24) $false
% 49.84/7.44 | | |
% 49.84/7.44 | | | CLOSE: (24) is inconsistent.
% 49.84/7.44 | | |
% 49.84/7.44 | | End of split
% 49.84/7.44 | |
% 49.84/7.44 | End of split
% 49.84/7.44 |
% 49.84/7.44 End of proof
% 49.84/7.44
% 49.84/7.44 Sub-proof #3 shows that the following formulas are inconsistent:
% 49.84/7.44 ----------------------------------------------------------------
% 49.84/7.44 (1) object(sortedList_first)
% 49.84/7.44 (2) ~ (prev_2 = nn)
% 49.84/7.44 (3) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ $i(v1) | ~ $i(v0) | ~
% 49.84/7.44 v__1(v0, v1, v0) | ~ object(v1) | ~ object(v0))
% 49.84/7.44 (4) object(prev_2)
% 49.84/7.44 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~
% 49.84/7.44 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ v__1(v1, v2, v3) | ~ v__1(v1, v0,
% 49.84/7.44 v2) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) |
% 49.84/7.44 v__1(v0, v2, v3))
% 49.84/7.44 (6) object(nn)
% 49.84/7.44 (7) v__1(sortedList_first, prev_2, prev_2)
% 49.84/7.44 (8) v__1(sortedList_first, prev_2, nn)
% 49.84/7.44 (9) $i(nn)
% 49.84/7.44 (10) $i(sortedList_first)
% 49.84/7.44 (11) v__1(sortedList_first, nn, prev_2) | (v__1(sortedList_first, nn, nn) &
% 49.84/7.44 ~ v__1(sortedList_first, prev_2, prev_2))
% 49.84/7.44 (12) $i(prev_2)
% 49.84/7.44
% 49.84/7.44 Begin of proof
% 49.84/7.44 |
% 49.84/7.45 | BETA: splitting (11) gives:
% 49.84/7.45 |
% 49.84/7.45 | Case 1:
% 49.84/7.45 | |
% 49.84/7.45 | | (13) v__1(sortedList_first, nn, prev_2)
% 49.84/7.45 | |
% 49.84/7.45 | | GROUND_INST: instantiating (5) with prev_2, sortedList_first, nn, prev_2,
% 49.84/7.45 | | simplifying with (1), (4), (6), (8), (9), (10), (12), (13)
% 49.84/7.45 | | gives:
% 49.84/7.45 | | (14) v__1(prev_2, nn, prev_2)
% 49.84/7.45 | |
% 49.84/7.45 | | GROUND_INST: instantiating (3) with prev_2, nn, simplifying with (4), (6),
% 49.84/7.45 | | (9), (12), (14) gives:
% 49.84/7.45 | | (15) prev_2 = nn
% 49.84/7.45 | |
% 49.84/7.45 | | REDUCE: (2), (15) imply:
% 49.84/7.45 | | (16) $false
% 49.84/7.45 | |
% 49.84/7.45 | | CLOSE: (16) is inconsistent.
% 49.84/7.45 | |
% 49.84/7.45 | Case 2:
% 49.84/7.45 | |
% 49.84/7.45 | | (17) v__1(sortedList_first, nn, nn) & ~ v__1(sortedList_first, prev_2,
% 49.84/7.45 | | prev_2)
% 49.84/7.45 | |
% 49.84/7.45 | | ALPHA: (17) implies:
% 49.84/7.45 | | (18) ~ v__1(sortedList_first, prev_2, prev_2)
% 49.84/7.45 | |
% 49.84/7.45 | | PRED_UNIFY: (7), (18) imply:
% 49.84/7.45 | | (19) $false
% 49.84/7.45 | |
% 49.84/7.45 | | CLOSE: (19) is inconsistent.
% 49.84/7.45 | |
% 49.84/7.45 | End of split
% 49.84/7.45 |
% 49.84/7.45 End of proof
% 49.84/7.45 % SZS output end Proof for theBenchmark
% 49.84/7.45
% 49.84/7.45 6799ms
%------------------------------------------------------------------------------