TSTP Solution File: SWW095+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWW095+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 : 600s
% DateTime : Thu Jul 21 00:03:22 EDT 2022
% Result : Theorem 7.93s 2.42s
% Output : Proof 14.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWW095+1 : TPTP v8.1.0. Released v5.2.0.
% 0.08/0.14 % Command : ePrincess-casc -timeout=%d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 5 10:08:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.60 ____ _
% 0.21/0.60 ___ / __ \_____(_)___ ________ __________
% 0.21/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.21/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.21/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.21/0.60
% 0.21/0.60 A Theorem Prover for First-Order Logic
% 0.21/0.61 (ePrincess v.1.0)
% 0.21/0.61
% 0.21/0.61 (c) Philipp Rümmer, 2009-2015
% 0.21/0.61 (c) Peter Backeman, 2014-2015
% 0.21/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.21/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.21/0.61 Bug reports to peter@backeman.se
% 0.21/0.61
% 0.21/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.21/0.61
% 0.21/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.66/1.18 Prover 0: Preprocessing ...
% 5.23/1.80 Prover 0: Constructing countermodel ...
% 7.93/2.42 Prover 0: proved (1762ms)
% 7.93/2.42
% 7.93/2.42 No countermodel exists, formula is valid
% 7.93/2.42 % SZS status Theorem for theBenchmark
% 7.93/2.42
% 7.93/2.42 Generating proof ... found it (size 141)
% 13.06/3.66
% 13.06/3.66 % SZS output start Proof for theBenchmark
% 13.06/3.66 Assumed formulas after preprocessing and simplification:
% 13.06/3.67 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ( ~ (v2 = null) & ~ (null = prev_2) & ~ (null = nn) & node_next(null) = null & node_next(prev_2) = nn & node_next(nn) = v1 & node_key(nn) = v0 & node_value(null) = null & array(null) & sortedList(null) & object_alloc(sortedList_first) & object_alloc(null) & object_alloc(prev_2) & object_alloc(tmp_6_2) & object_alloc(nn) & node(sortedList_first) & node(null) & node(prev_2) & node(tmp_6_2) & node(nn) & v__1(sortedList_first, prev_2, prev_2) & v__1(sortedList_first, nn, nn) & v__1(nn, nn, nn) & object(v2) & object(sortedList_first) & object(null) & object(prev_2) & object(tmp_6_2) & object(nn) & lteq(v0, v0) & integer(v0) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = null | ~ (node_next(v15) = v16) | ~ (array_arrayState(v15, v17) = v18) | ~ object(v15) | ~ integer(v17) | object_alloc(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v18 = null | ~ (array_arrayState(v15, v17) = v18) | ~ (node_value(v15) = v16) | ~ object(v15) | ~ integer(v17) | object_alloc(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = v15 | ~ (array_arrayState(v18, v17) = v16) | ~ (array_arrayState(v18, v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = null | v15 = null | ~ (node_next(v15) = v17) | ~ (node_key(v16) = v18) | ~ v__1(v17, v16, v16) | ~ v__1(sortedList_first, v15, v15) | ~ object(v17) | ~ object(v16) | ~ object(v15) | ? [v19] : (node_key(v15) = v19 & ( ~ (v19 = v18) | ~ integer(v18)) & ( ~ integer(v19) | ~ integer(v18) | lteq(v19, v18)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : (v16 = null | v15 = null | ~ (node_key(v16) = v18) | ~ (node_key(v15) = v17) | ~ v__1(sortedList_first, v15, v15) | ~ object(v16) | ~ object(v15) | ~ integer(v18) | ~ integer(v17) | lteq(v17, v18) | ? [v19] : (node_next(v15) = v19 & ( ~ v__1(v19, v16, v16) | ~ object(v19)))) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (node_next(v15) = v16) | ~ (array_arrayState(v17, v18) = v15) | ~ object(v17) | ~ object(v15) | ~ integer(v18) | object_alloc(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ (array_arrayState(v17, v18) = v15) | ~ (node_value(v15) = v16) | ~ object(v17) | ~ object(v15) | ~ integer(v18) | object_alloc(v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ v__1(v17, v15, v18) | ~ v__1(v16, v17, v18) | ~ object(v18) | ~ object(v17) | ~ object(v16) | ~ object(v15) | v__1(v16, v17, v15)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ v__1(v17, v15, v18) | ~ v__1(v16, v17, v18) | ~ object(v18) | ~ object(v17) | ~ object(v16) | ~ object(v15) | v__1(v16, v15, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ v__1(v16, v17, v18) | ~ v__1(v16, v15, v17) | ~ object(v18) | ~ object(v17) | ~ object(v16) | ~ object(v15) | v__1(v16, v15, v18)) & ! [v15] : ! [v16] : ! [v17] : ! [v18] : ( ~ v__1(v16, v17, v18) | ~ v__1(v16, v15, v17) | ~ object(v18) | ~ object(v17) | ~ object(v16) | ~ object(v15) | v__1(v15, v17, v18)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (node_next(v17) = v16) | ~ (node_next(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (node_next(v15) = v17) | ~ v__1(v15, v16, v16) | ~ object(v17) | ~ object(v16) | ~ object(v15) | v__1(v15, v17, v16)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (node_key(v17) = v16) | ~ (node_key(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = v15 | ~ (node_value(v17) = v16) | ~ (node_value(v17) = v15)) & ! [v15] : ! [v16] : ! [v17] : (v16 = null | v15 = null | ~ (node_key(v16) = v17) | ~ (node_key(v15) = v17) | ~ v__1(sortedList_first, v15, v15) | ~ object(v16) | ~ object(v15) | ~ integer(v17) | ? [v18] : (node_next(v15) = v18 & ( ~ v__1(v18, v16, v16) | ~ object(v18)))) & ! [v15] : ! [v16] : ! [v17] : ( ~ (node_next(v17) = v15) | ~ (node_next(v15) = v16) | ~ object(v17) | ~ object(v15) | object_alloc(v15)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (node_next(v17) = v15) | ~ (node_value(v15) = v16) | ~ object(v17) | ~ object(v15) | object_alloc(v15)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (node_next(v15) = v16) | ~ (node_value(v17) = v15) | ~ object(v17) | ~ object(v15) | object_alloc(v15)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (array_arrayState(v15, v16) = v17) | object(v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ (node_value(v17) = v15) | ~ (node_value(v15) = v16) | ~ object(v17) | ~ object(v15) | object_alloc(v15)) & ! [v15] : ! [v16] : ! [v17] : ( ~ v__1(v16, v17, v17) | ~ v__1(v15, v16, v16) | ~ object(v17) | ~ object(v16) | ~ object(v15) | v__1(v15, v17, v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ v__1(v15, v17, v17) | ~ v__1(v15, v16, v16) | ~ object(v17) | ~ object(v16) | ~ object(v15) | v__1(v15, v17, v16) | v__1(v15, v16, v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ v__1(v15, v16, v17) | ~ object(v17) | ~ object(v16) | ~ object(v15) | v__1(v16, v17, v17)) & ! [v15] : ! [v16] : ! [v17] : ( ~ v__1(v15, v16, v17) | ~ object(v17) | ~ object(v16) | ~ object(v15) | v__1(v15, v16, v16)) & ! [v15] : ! [v16] : ! [v17] : ( ~ lteq(v16, v17) | ~ lteq(v15, v16) | ~ integer(v17) | ~ integer(v16) | ~ integer(v15) | lteq(v15, v17)) & ! [v15] : ! [v16] : (v16 = v15 | ~ (node_next(v15) = v15) | ~ v__1(v15, v16, v16) | ~ object(v16) | ~ object(v15)) & ! [v15] : ! [v16] : (v16 = v15 | ~ v__1(v15, v16, v15) | ~ object(v16) | ~ object(v15)) & ! [v15] : ! [v16] : (v16 = v15 | ~ lteq(v16, v15) | ~ lteq(v15, v16) | ~ integer(v16) | ~ integer(v15)) & ! [v15] : ! [v16] : (v16 = null | v15 = null | ~ (node_next(v15) = v16) | ~ object(v16) | ~ object(v15) | v__1(sortedList_first, v16, v16)) & ! [v15] : ! [v16] : (v16 = null | ~ (node_next(v15) = v16) | ~ object(v15) | object_alloc(v15)) & ! [v15] : ! [v16] : (v16 = null | ~ (node_value(v15) = v16) | ~ object(v15) | object_alloc(v15)) & ! [v15] : ! [v16] : ( ~ (node_next(v15) = v16) | ~ node(v15) | ~ object(v16) | ~ object(v15) | node(v16)) & ! [v15] : ! [v16] : ( ~ (node_next(v15) = v16) | ~ object(v16) | ~ object(v15) | v__1(v15, v16, v16)) & ! [v15] : ! [v16] : ( ~ (node_next(v15) = v16) | ~ object(v15) | node_value(v15) = null | object_alloc(v15)) & ! [v15] : ! [v16] : ( ~ (node_next(v15) = v16) | object(v16)) & ! [v15] : ! [v16] : ( ~ (node_key(v15) = v16) | integer(v16)) & ! [v15] : ! [v16] : ( ~ (node_value(v15) = v16) | ~ object(v15) | node_next(v15) = null | object_alloc(v15)) & ! [v15] : ! [v16] : ( ~ (node_value(v15) = v16) | object(v16)) & ! [v15] : ! [v16] : ( ~ integer(v16) | ~ integer(v15) | lteq(v16, v15) | lteq(v15, v16)) & ! [v15] : (v15 = null | ~ array(v15) | ~ sortedList(v15) | ~ object(v15)) & ! [v15] : (v15 = null | ~ array(v15) | ~ node(v15) | ~ object(v15)) & ! [v15] : (v15 = null | ~ sortedList(v15) | ~ node(v15) | ~ object(v15)) & ! [v15] : ( ~ object(v15) | v__1(v15, v15, v15)) & ! [v15] : ( ~ integer(v15) | lteq(v15, v15)) & (v2 = nn | ~ v__1(sortedList_first, v2, v2)) & (sortedList_first = null | ! [v15] : ( ~ (node_next(v15) = sortedList_first) | ~ object(v15))) & (( ~ (v2 = prev_2) & ((v14 = v1 & v__1(v1, v2, v2) & object(v1) & ((v13 = v1 & v12 = v1 & ~ v__1(v1, nn, nn)) | (v12 = v1 & v__1(v1, v2, nn)))) | (v12 = v1 & ~ (v2 = nn) & v__1(v1, v2, nn) & object(v1) & (v__1(null, v2, nn) | (v__1(null, v2, v2) & ~ v__1(null, nn, nn))) & ((v14 = v1 & v13 = v1 & v__1(v1, nn, nn) & ~ v__1(v1, v2, v2)) | (v13 = v1 & v__1(v1, nn, v2)))) | ( ~ (v2 = nn) & v__1(null, v2, v2) & ( ~ v__1(null, nn, nn) | v__1(null, v2, nn)) & ((v13 = v1 & v12 = v1 & v__1(v1, nn, nn) & object(v1) & ~ v__1(v1, v2, v2)) | (v12 = v1 & v__1(v1, nn, v2) & object(v1))))) & ((v5 = v1 & v__1(v1, v2, prev_2) & object(v1) & ((v4 = v1 & v3 = v1 & v__1(v1, prev_2, prev_2) & ~ v__1(v1, nn, nn)) | (v3 = v1 & v__1(v1, prev_2, nn)))) | (v3 = v1 & ~ (prev_2 = nn) & v__1(v1, v2, nn) & object(v1) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((v5 = v1 & v4 = v1 & v__1(v1, nn, nn) & ~ v__1(v1, prev_2, prev_2)) | (v4 = v1 & v__1(v1, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, v2, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((v4 = v1 & v3 = v1 & v__1(v1, nn, nn) & object(v1) & ~ v__1(v1, prev_2, prev_2)) | (v3 = v1 & v__1(v1, nn, prev_2) & object(v1)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (v4 = v1 & object(v1) & ~ v__1(v1, nn, prev_2) & ((v3 = v1 & v__1(v1, prev_2, prev_2)) | (v3 = v1 & ~ v__1(v1, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (v6 = v1 & object(v1) & ~ v__1(v1, nn, prev_2) & ((v5 = v1 & v__1(v1, prev_2, prev_2)) | (v5 = v1 & ~ v__1(v1, nn, nn)))) | (v5 = v1 & object(v1) & ~ v__1(v1, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((v11 = v1 & v__1(v1, v2, v2) & object(v1) & ((v10 = v1 & v9 = v1 & ~ v__1(v1, nn, nn)) | (v9 = v1 & v__1(v1, v2, nn)))) | (v9 = v1 & ~ (v2 = nn) & v__1(v1, v2, nn) & object(v1) & (v__1(null, v2, nn) | (v__1(null, v2, v2) & ~ v__1(null, nn, nn))) & ((v11 = v1 & v10 = v1 & v__1(v1, nn, nn) & ~ v__1(v1, v2, v2)) | (v10 = v1 & v__1(v1, nn, v2)))) | ( ~ (v2 = nn) & v__1(null, v2, v2) & ( ~ v__1(null, nn, nn) | v__1(null, v2, nn)) & ((v10 = v1 & v9 = v1 & v__1(v1, nn, nn) & object(v1) & ~ v__1(v1, v2, v2)) | (v9 = v1 & v__1(v1, nn, v2) & object(v1))))) & ((v8 = v1 & object(v1) & ~ v__1(v1, prev_2, nn) & ((v7 = v1 & v__1(v1, nn, nn)) | (v7 = v1 & ~ v__1(v1, prev_2, prev_2)))) | (v7 = v1 & object(v1) & ~ v__1(v1, prev_2, prev_2))))) & (( ~ (v2 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, v2, v2) | v__1(sortedList_first, nn, v2)) & (v__1(null, v2, nn) | (v__1(null, v2, v2) & ~ v__1(null, nn, nn)))) | ( ~ (v2 = nn) & v__1(null, prev_2, v2) & ( ~ v__1(sortedList_first, v2, v2) | v__1(sortedList_first, nn, v2)) & (v__1(null, v2, nn) | (v__1(null, v2, v2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, v2, nn) & v__1(sortedList_first, prev_2, v2)) | ((v2 = nn | ~ v__1(sortedList_first, v2, nn) | (v__1(sortedList_first, v2, v2) & ~ v__1(sortedList_first, nn, v2)) | ( ~ v__1(null, v2, nn) & ( ~ v__1(null, v2, v2) | v__1(null, nn, nn)))) & (v2 = nn | ~ v__1(null, v2, v2) | (v__1(sortedList_first, v2, v2) & ~ v__1(sortedList_first, nn, v2)) | (v__1(null, nn, nn) & ~ v__1(null, v2, nn))) & ( ~ v__1(sortedList_first, v2, v2) | ~ v__1(sortedList_first, v2, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn))))))) | ( ~ (v2 = prev_2) & ((v5 = v1 & v__1(v1, v2, prev_2) & object(v1) & ((v4 = v1 & v3 = v1 & v__1(v1, prev_2, prev_2) & ~ v__1(v1, nn, nn)) | (v3 = v1 & v__1(v1, prev_2, nn)))) | (v3 = v1 & ~ (prev_2 = nn) & v__1(v1, v2, nn) & object(v1) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((v5 = v1 & v4 = v1 & v__1(v1, nn, nn) & ~ v__1(v1, prev_2, prev_2)) | (v4 = v1 & v__1(v1, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, v2, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((v4 = v1 & v3 = v1 & v__1(v1, nn, nn) & object(v1) & ~ v__1(v1, prev_2, prev_2)) | (v3 = v1 & v__1(v1, nn, prev_2) & object(v1)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (v4 = v1 & object(v1) & ~ v__1(v1, nn, prev_2) & ((v3 = v1 & v__1(v1, prev_2, prev_2)) | (v3 = v1 & ~ v__1(v1, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (v6 = v1 & object(v1) & ~ v__1(v1, nn, prev_2) & ((v5 = v1 & v__1(v1, prev_2, prev_2)) | (v5 = v1 & ~ v__1(v1, nn, nn)))) | (v5 = v1 & object(v1) & ~ v__1(v1, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((v11 = v1 & v__1(v1, v2, v2) & object(v1) & ((v10 = v1 & v9 = v1 & ~ v__1(v1, nn, nn)) | (v9 = v1 & v__1(v1, v2, nn)))) | (v9 = v1 & ~ (v2 = nn) & v__1(v1, v2, nn) & object(v1) & (v__1(null, v2, nn) | (v__1(null, v2, v2) & ~ v__1(null, nn, nn))) & ((v11 = v1 & v10 = v1 & v__1(v1, nn, nn) & ~ v__1(v1, v2, v2)) | (v10 = v1 & v__1(v1, nn, v2)))) | ( ~ (v2 = nn) & v__1(null, v2, v2) & ( ~ v__1(null, nn, nn) | v__1(null, v2, nn)) & ((v10 = v1 & v9 = v1 & v__1(v1, nn, nn) & object(v1) & ~ v__1(v1, v2, v2)) | (v9 = v1 & v__1(v1, nn, v2) & object(v1))))) & ((v8 = v1 & object(v1) & ~ v__1(v1, prev_2, nn) & ((v7 = v1 & v__1(v1, nn, nn)) | (v7 = v1 & ~ v__1(v1, prev_2, prev_2)))) | (v7 = v1 & object(v1) & ~ v__1(v1, prev_2, prev_2))))) & (( ~ (v2 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, v2, v2) | v__1(sortedList_first, nn, v2)) & (v__1(null, v2, nn) | (v__1(null, v2, v2) & ~ v__1(null, nn, nn)))) | ( ~ (v2 = nn) & v__1(null, prev_2, v2) & ( ~ v__1(sortedList_first, v2, v2) | v__1(sortedList_first, nn, v2)) & (v__1(null, v2, nn) | (v__1(null, v2, v2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, v2, nn) & v__1(sortedList_first, prev_2, v2)) | ((v2 = nn | ~ v__1(sortedList_first, v2, nn) | (v__1(sortedList_first, v2, v2) & ~ v__1(sortedList_first, nn, v2)) | ( ~ v__1(null, v2, nn) & ( ~ v__1(null, v2, v2) | v__1(null, nn, nn)))) & (v2 = nn | ~ v__1(null, v2, v2) | (v__1(sortedList_first, v2, v2) & ~ v__1(sortedList_first, nn, v2)) | (v__1(null, nn, nn) & ~ v__1(null, v2, nn))) & ( ~ v__1(sortedList_first, v2, v2) | ~ v__1(sortedList_first, v2, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)))))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, v2, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, v2, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, v2, prev_2) & v__1(sortedList_first, prev_2, nn)))) | ((( ~ (v2 = nn) & v__1(sortedList_first, v2, nn) & ( ~ v__1(sortedList_first, v2, v2) | v__1(sortedList_first, nn, v2)) & (v__1(null, v2, nn) | (v__1(null, v2, v2) & ~ v__1(null, nn, nn)))) | ( ~ (v2 = nn) & v__1(null, v2, v2) & ( ~ v__1(sortedList_first, v2, v2) | v__1(sortedList_first, nn, v2)) & ( ~ v__1(null, nn, nn) | v__1(null, v2, nn))) | (v__1(sortedList_first, v2, v2) & v__1(sortedList_first, v2, nn))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, v2, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, v2, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, v2, prev_2) & v__1(sortedList_first, prev_2, nn)) | ( ~ v__1(sortedList_first, prev_2, nn) & (prev_2 = nn | ~ v__1(sortedList_first, nn, prev_2) | ~ v__1(null, prev_2, prev_2) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (( ~ (v2 = nn) & v__1(sortedList_first, v2, nn) & ( ~ v__1(sortedList_first, v2, v2) | v__1(sortedList_first, nn, v2)) & (v__1(null, v2, nn) | (v__1(null, v2, v2) & ~ v__1(null, nn, nn)))) | ( ~ (v2 = nn) & v__1(null, v2, v2) & ( ~ v__1(sortedList_first, v2, v2) | v__1(sortedList_first, nn, v2)) & ( ~ v__1(null, nn, nn) | v__1(null, v2, nn))) | (v__1(sortedList_first, v2, v2) & v__1(sortedList_first, v2, nn))))))))
% 13.67/3.73 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14 yields:
% 13.67/3.73 | (1) ~ (all_0_12_12 = null) & ~ (null = prev_2) & ~ (null = nn) & node_next(null) = null & node_next(prev_2) = nn & node_next(nn) = all_0_13_13 & node_key(nn) = all_0_14_14 & node_value(null) = null & array(null) & sortedList(null) & object_alloc(sortedList_first) & object_alloc(null) & object_alloc(prev_2) & object_alloc(tmp_6_2) & object_alloc(nn) & node(sortedList_first) & node(null) & node(prev_2) & node(tmp_6_2) & node(nn) & v__1(sortedList_first, prev_2, prev_2) & v__1(sortedList_first, nn, nn) & v__1(nn, nn, nn) & object(all_0_12_12) & object(sortedList_first) & object(null) & object(prev_2) & object(tmp_6_2) & object(nn) & lteq(all_0_14_14, all_0_14_14) & integer(all_0_14_14) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = null | ~ (node_next(v0) = v1) | ~ (array_arrayState(v0, v2) = v3) | ~ object(v0) | ~ integer(v2) | object_alloc(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = null | ~ (array_arrayState(v0, v2) = v3) | ~ (node_value(v0) = v1) | ~ object(v0) | ~ integer(v2) | object_alloc(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (array_arrayState(v3, v2) = v1) | ~ (array_arrayState(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = null | v0 = null | ~ (node_next(v0) = v2) | ~ (node_key(v1) = v3) | ~ v__1(v2, v1, v1) | ~ v__1(sortedList_first, v0, v0) | ~ object(v2) | ~ object(v1) | ~ object(v0) | ? [v4] : (node_key(v0) = v4 & ( ~ (v4 = v3) | ~ integer(v3)) & ( ~ integer(v4) | ~ integer(v3) | lteq(v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = null | v0 = null | ~ (node_key(v1) = v3) | ~ (node_key(v0) = v2) | ~ v__1(sortedList_first, v0, v0) | ~ object(v1) | ~ object(v0) | ~ integer(v3) | ~ integer(v2) | lteq(v2, v3) | ? [v4] : (node_next(v0) = v4 & ( ~ v__1(v4, v1, v1) | ~ object(v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (node_next(v0) = v1) | ~ (array_arrayState(v2, v3) = v0) | ~ object(v2) | ~ object(v0) | ~ integer(v3) | object_alloc(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (array_arrayState(v2, v3) = v0) | ~ (node_value(v0) = v1) | ~ object(v2) | ~ object(v0) | ~ integer(v3) | object_alloc(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ v__1(v2, v0, v3) | ~ v__1(v1, v2, v3) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v1, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ v__1(v2, v0, v3) | ~ v__1(v1, v2, v3) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v1, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ v__1(v1, v2, v3) | ~ v__1(v1, v0, v2) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v1, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ v__1(v1, v2, v3) | ~ v__1(v1, v0, v2) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v0, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (node_next(v2) = v1) | ~ (node_next(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (node_next(v0) = v2) | ~ v__1(v0, v1, v1) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v0, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (node_key(v2) = v1) | ~ (node_key(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (node_value(v2) = v1) | ~ (node_value(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = null | v0 = null | ~ (node_key(v1) = v2) | ~ (node_key(v0) = v2) | ~ v__1(sortedList_first, v0, v0) | ~ object(v1) | ~ object(v0) | ~ integer(v2) | ? [v3] : (node_next(v0) = v3 & ( ~ v__1(v3, v1, v1) | ~ object(v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (node_next(v2) = v0) | ~ (node_next(v0) = v1) | ~ object(v2) | ~ object(v0) | object_alloc(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (node_next(v2) = v0) | ~ (node_value(v0) = v1) | ~ object(v2) | ~ object(v0) | object_alloc(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (node_next(v0) = v1) | ~ (node_value(v2) = v0) | ~ object(v2) | ~ object(v0) | object_alloc(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (array_arrayState(v0, v1) = v2) | object(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (node_value(v2) = v0) | ~ (node_value(v0) = v1) | ~ object(v2) | ~ object(v0) | object_alloc(v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v__1(v1, v2, v2) | ~ v__1(v0, v1, v1) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v0, v2, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v__1(v0, v2, v2) | ~ v__1(v0, v1, v1) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v0, v2, v1) | v__1(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v__1(v0, v1, v2) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v1, v2, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ v__1(v0, v1, v2) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v0, v1, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ lteq(v1, v2) | ~ lteq(v0, v1) | ~ integer(v2) | ~ integer(v1) | ~ integer(v0) | lteq(v0, v2)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (node_next(v0) = v0) | ~ v__1(v0, v1, v1) | ~ object(v1) | ~ object(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ v__1(v0, v1, v0) | ~ object(v1) | ~ object(v0)) & ! [v0] : ! [v1] : (v1 = v0 | ~ lteq(v1, v0) | ~ lteq(v0, v1) | ~ integer(v1) | ~ integer(v0)) & ! [v0] : ! [v1] : (v1 = null | v0 = null | ~ (node_next(v0) = v1) | ~ object(v1) | ~ object(v0) | v__1(sortedList_first, v1, v1)) & ! [v0] : ! [v1] : (v1 = null | ~ (node_next(v0) = v1) | ~ object(v0) | object_alloc(v0)) & ! [v0] : ! [v1] : (v1 = null | ~ (node_value(v0) = v1) | ~ object(v0) | object_alloc(v0)) & ! [v0] : ! [v1] : ( ~ (node_next(v0) = v1) | ~ node(v0) | ~ object(v1) | ~ object(v0) | node(v1)) & ! [v0] : ! [v1] : ( ~ (node_next(v0) = v1) | ~ object(v1) | ~ object(v0) | v__1(v0, v1, v1)) & ! [v0] : ! [v1] : ( ~ (node_next(v0) = v1) | ~ object(v0) | node_value(v0) = null | object_alloc(v0)) & ! [v0] : ! [v1] : ( ~ (node_next(v0) = v1) | object(v1)) & ! [v0] : ! [v1] : ( ~ (node_key(v0) = v1) | integer(v1)) & ! [v0] : ! [v1] : ( ~ (node_value(v0) = v1) | ~ object(v0) | node_next(v0) = null | object_alloc(v0)) & ! [v0] : ! [v1] : ( ~ (node_value(v0) = v1) | object(v1)) & ! [v0] : ! [v1] : ( ~ integer(v1) | ~ integer(v0) | lteq(v1, v0) | lteq(v0, v1)) & ! [v0] : (v0 = null | ~ array(v0) | ~ sortedList(v0) | ~ object(v0)) & ! [v0] : (v0 = null | ~ array(v0) | ~ node(v0) | ~ object(v0)) & ! [v0] : (v0 = null | ~ sortedList(v0) | ~ node(v0) | ~ object(v0)) & ! [v0] : ( ~ object(v0) | v__1(v0, v0, v0)) & ! [v0] : ( ~ integer(v0) | lteq(v0, v0)) & (all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, all_0_12_12)) & (sortedList_first = null | ! [v0] : ( ~ (node_next(v0) = sortedList_first) | ~ object(v0))) & (( ~ (all_0_12_12 = prev_2) & ((all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn))))))) | ( ~ (all_0_12_12 = prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)))))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)))) | ((( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)) | ( ~ v__1(sortedList_first, prev_2, nn) & (prev_2 = nn | ~ v__1(sortedList_first, nn, prev_2) | ~ v__1(null, prev_2, prev_2) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn)))))))
% 13.67/3.75 |
% 13.67/3.75 | Applying alpha-rule on (1) yields:
% 13.67/3.75 | (2) v__1(sortedList_first, nn, nn)
% 13.67/3.75 | (3) v__1(nn, nn, nn)
% 13.67/3.75 | (4) ! [v0] : (v0 = null | ~ array(v0) | ~ node(v0) | ~ object(v0))
% 13.67/3.75 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ v__1(v1, v2, v3) | ~ v__1(v1, v0, v2) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v1, v0, v3))
% 13.67/3.75 | (6) ! [v0] : ! [v1] : ( ~ (node_next(v0) = v1) | ~ object(v0) | node_value(v0) = null | object_alloc(v0))
% 13.67/3.75 | (7) node(nn)
% 13.67/3.75 | (8) ! [v0] : ! [v1] : (v1 = v0 | ~ v__1(v0, v1, v0) | ~ object(v1) | ~ object(v0))
% 13.67/3.75 | (9) ! [v0] : ! [v1] : ! [v2] : ( ~ (node_value(v2) = v0) | ~ (node_value(v0) = v1) | ~ object(v2) | ~ object(v0) | object_alloc(v0))
% 13.67/3.75 | (10) node(null)
% 13.67/3.75 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (array_arrayState(v2, v3) = v0) | ~ (node_value(v0) = v1) | ~ object(v2) | ~ object(v0) | ~ integer(v3) | object_alloc(v0))
% 13.67/3.75 | (12) ! [v0] : (v0 = null | ~ sortedList(v0) | ~ node(v0) | ~ object(v0))
% 13.67/3.75 | (13) object_alloc(tmp_6_2)
% 13.67/3.75 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = null | v0 = null | ~ (node_key(v1) = v2) | ~ (node_key(v0) = v2) | ~ v__1(sortedList_first, v0, v0) | ~ object(v1) | ~ object(v0) | ~ integer(v2) | ? [v3] : (node_next(v0) = v3 & ( ~ v__1(v3, v1, v1) | ~ object(v3))))
% 13.67/3.75 | (15) all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, all_0_12_12)
% 13.67/3.75 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (array_arrayState(v3, v2) = v1) | ~ (array_arrayState(v3, v2) = v0))
% 13.67/3.75 | (17) ! [v0] : ( ~ object(v0) | v__1(v0, v0, v0))
% 13.67/3.75 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ v__1(v1, v2, v3) | ~ v__1(v1, v0, v2) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v0, v2, v3))
% 13.67/3.76 | (19) ! [v0] : ( ~ integer(v0) | lteq(v0, v0))
% 13.67/3.76 | (20) ! [v0] : ! [v1] : ( ~ (node_next(v0) = v1) | object(v1))
% 13.67/3.76 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (node_next(v0) = v2) | ~ v__1(v0, v1, v1) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v0, v2, v1))
% 13.67/3.76 | (22) object_alloc(prev_2)
% 13.67/3.76 | (23) ~ (all_0_12_12 = null)
% 13.67/3.76 | (24) node(sortedList_first)
% 13.67/3.76 | (25) ! [v0] : ! [v1] : (v1 = null | ~ (node_next(v0) = v1) | ~ object(v0) | object_alloc(v0))
% 13.67/3.76 | (26) node(prev_2)
% 13.67/3.76 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ v__1(v0, v1, v2) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v1, v2, v2))
% 13.67/3.76 | (28) ! [v0] : ! [v1] : (v1 = null | v0 = null | ~ (node_next(v0) = v1) | ~ object(v1) | ~ object(v0) | v__1(sortedList_first, v1, v1))
% 13.67/3.76 | (29) ~ (null = prev_2)
% 13.67/3.76 | (30) ! [v0] : ! [v1] : ( ~ (node_next(v0) = v1) | ~ node(v0) | ~ object(v1) | ~ object(v0) | node(v1))
% 13.67/3.76 | (31) node_value(null) = null
% 13.67/3.76 | (32) ! [v0] : ! [v1] : ( ~ (node_value(v0) = v1) | ~ object(v0) | node_next(v0) = null | object_alloc(v0))
% 13.67/3.76 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ v__1(v0, v2, v2) | ~ v__1(v0, v1, v1) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v0, v2, v1) | v__1(v0, v1, v2))
% 13.67/3.76 | (34) node_key(nn) = all_0_14_14
% 13.67/3.76 | (35) object_alloc(null)
% 13.67/3.76 | (36) ! [v0] : ! [v1] : ( ~ (node_key(v0) = v1) | integer(v1))
% 13.67/3.76 | (37) node_next(nn) = all_0_13_13
% 13.67/3.76 | (38) object(sortedList_first)
% 13.67/3.76 | (39) object(nn)
% 13.67/3.76 | (40) ~ (null = nn)
% 13.67/3.76 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ lteq(v1, v2) | ~ lteq(v0, v1) | ~ integer(v2) | ~ integer(v1) | ~ integer(v0) | lteq(v0, v2))
% 13.67/3.76 | (42) ! [v0] : ! [v1] : ! [v2] : ( ~ (node_next(v2) = v0) | ~ (node_value(v0) = v1) | ~ object(v2) | ~ object(v0) | object_alloc(v0))
% 13.67/3.76 | (43) object(null)
% 13.67/3.76 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = null | v0 = null | ~ (node_key(v1) = v3) | ~ (node_key(v0) = v2) | ~ v__1(sortedList_first, v0, v0) | ~ object(v1) | ~ object(v0) | ~ integer(v3) | ~ integer(v2) | lteq(v2, v3) | ? [v4] : (node_next(v0) = v4 & ( ~ v__1(v4, v1, v1) | ~ object(v4))))
% 13.67/3.76 | (45) object(tmp_6_2)
% 13.67/3.76 | (46) object(all_0_12_12)
% 13.67/3.76 | (47) ! [v0] : ! [v1] : (v1 = null | ~ (node_value(v0) = v1) | ~ object(v0) | object_alloc(v0))
% 13.67/3.76 | (48) ! [v0] : ! [v1] : ( ~ (node_next(v0) = v1) | ~ object(v1) | ~ object(v0) | v__1(v0, v1, v1))
% 13.67/3.76 | (49) node_next(null) = null
% 13.67/3.76 | (50) ! [v0] : (v0 = null | ~ array(v0) | ~ sortedList(v0) | ~ object(v0))
% 13.67/3.76 | (51) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ v__1(v2, v0, v3) | ~ v__1(v1, v2, v3) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v1, v2, v0))
% 13.67/3.76 | (52) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (node_next(v2) = v1) | ~ (node_next(v2) = v0))
% 13.67/3.76 | (53) ! [v0] : ! [v1] : (v1 = v0 | ~ (node_next(v0) = v0) | ~ v__1(v0, v1, v1) | ~ object(v1) | ~ object(v0))
% 13.67/3.76 | (54) ! [v0] : ! [v1] : ! [v2] : ( ~ v__1(v0, v1, v2) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v0, v1, v1))
% 13.67/3.76 | (55) sortedList_first = null | ! [v0] : ( ~ (node_next(v0) = sortedList_first) | ~ object(v0))
% 13.67/3.76 | (56) v__1(sortedList_first, prev_2, prev_2)
% 13.67/3.76 | (57) array(null)
% 13.67/3.76 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (node_key(v2) = v1) | ~ (node_key(v2) = v0))
% 13.67/3.76 | (59) integer(all_0_14_14)
% 13.67/3.76 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = null | ~ (array_arrayState(v0, v2) = v3) | ~ (node_value(v0) = v1) | ~ object(v0) | ~ integer(v2) | object_alloc(v0))
% 13.67/3.76 | (61) ! [v0] : ! [v1] : (v1 = v0 | ~ lteq(v1, v0) | ~ lteq(v0, v1) | ~ integer(v1) | ~ integer(v0))
% 13.67/3.76 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ v__1(v2, v0, v3) | ~ v__1(v1, v2, v3) | ~ object(v3) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v1, v0, v3))
% 13.67/3.76 | (63) ( ~ (all_0_12_12 = prev_2) & ((all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn))))))) | ( ~ (all_0_12_12 = prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)))))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)))) | ((( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)) | ( ~ v__1(sortedList_first, prev_2, nn) & (prev_2 = nn | ~ v__1(sortedList_first, nn, prev_2) | ~ v__1(null, prev_2, prev_2) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn))))))
% 13.67/3.77 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = null | v0 = null | ~ (node_next(v0) = v2) | ~ (node_key(v1) = v3) | ~ v__1(v2, v1, v1) | ~ v__1(sortedList_first, v0, v0) | ~ object(v2) | ~ object(v1) | ~ object(v0) | ? [v4] : (node_key(v0) = v4 & ( ~ (v4 = v3) | ~ integer(v3)) & ( ~ integer(v4) | ~ integer(v3) | lteq(v4, v3))))
% 13.67/3.77 | (65) ! [v0] : ! [v1] : ! [v2] : ( ~ (node_next(v2) = v0) | ~ (node_next(v0) = v1) | ~ object(v2) | ~ object(v0) | object_alloc(v0))
% 13.67/3.77 | (66) ! [v0] : ! [v1] : ( ~ integer(v1) | ~ integer(v0) | lteq(v1, v0) | lteq(v0, v1))
% 13.67/3.77 | (67) sortedList(null)
% 13.67/3.77 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (node_next(v0) = v1) | ~ (array_arrayState(v2, v3) = v0) | ~ object(v2) | ~ object(v0) | ~ integer(v3) | object_alloc(v0))
% 13.67/3.77 | (69) ! [v0] : ! [v1] : ! [v2] : ( ~ (node_next(v0) = v1) | ~ (node_value(v2) = v0) | ~ object(v2) | ~ object(v0) | object_alloc(v0))
% 13.67/3.77 | (70) lteq(all_0_14_14, all_0_14_14)
% 13.67/3.77 | (71) node(tmp_6_2)
% 13.67/3.77 | (72) object_alloc(nn)
% 13.67/3.77 | (73) ! [v0] : ! [v1] : ( ~ (node_value(v0) = v1) | object(v1))
% 13.67/3.77 | (74) object_alloc(sortedList_first)
% 13.67/3.77 | (75) node_next(prev_2) = nn
% 13.67/3.77 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = null | ~ (node_next(v0) = v1) | ~ (array_arrayState(v0, v2) = v3) | ~ object(v0) | ~ integer(v2) | object_alloc(v0))
% 13.67/3.77 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (node_value(v2) = v1) | ~ (node_value(v2) = v0))
% 13.67/3.77 | (78) ! [v0] : ! [v1] : ! [v2] : ( ~ v__1(v1, v2, v2) | ~ v__1(v0, v1, v1) | ~ object(v2) | ~ object(v1) | ~ object(v0) | v__1(v0, v2, v2))
% 13.67/3.77 | (79) object(prev_2)
% 13.67/3.77 | (80) ! [v0] : ! [v1] : ! [v2] : ( ~ (array_arrayState(v0, v1) = v2) | object(v2))
% 13.67/3.77 |
% 13.67/3.77 | Instantiating formula (20) with all_0_13_13, nn and discharging atoms node_next(nn) = all_0_13_13, yields:
% 13.67/3.78 | (81) object(all_0_13_13)
% 13.67/3.78 |
% 13.67/3.78 | Instantiating formula (64) with all_0_14_14, nn, nn, prev_2 and discharging atoms node_next(prev_2) = nn, node_key(nn) = all_0_14_14, v__1(sortedList_first, prev_2, prev_2), v__1(nn, nn, nn), object(prev_2), object(nn), yields:
% 13.67/3.78 | (82) null = prev_2 | null = nn | ? [v0] : (node_key(prev_2) = v0 & ( ~ (v0 = all_0_14_14) | ~ integer(all_0_14_14)) & ( ~ integer(v0) | ~ integer(all_0_14_14) | lteq(v0, all_0_14_14)))
% 13.67/3.78 |
% 13.67/3.78 | Instantiating formula (33) with prev_2, nn, sortedList_first and discharging atoms v__1(sortedList_first, prev_2, prev_2), v__1(sortedList_first, nn, nn), object(sortedList_first), object(prev_2), object(nn), yields:
% 13.67/3.78 | (83) v__1(sortedList_first, prev_2, nn) | v__1(sortedList_first, nn, prev_2)
% 13.67/3.78 |
% 13.67/3.78 | Instantiating formula (14) with all_0_14_14, nn, nn and discharging atoms node_key(nn) = all_0_14_14, v__1(sortedList_first, nn, nn), object(nn), integer(all_0_14_14), yields:
% 13.67/3.78 | (84) null = nn | ? [v0] : (node_next(nn) = v0 & ( ~ v__1(v0, nn, nn) | ~ object(v0)))
% 13.67/3.78 |
% 13.67/3.78 +-Applying beta-rule and splitting (84), into two cases.
% 13.67/3.78 |-Branch one:
% 13.67/3.78 | (85) null = nn
% 13.67/3.78 |
% 13.67/3.78 | Equations (85) can reduce 40 to:
% 13.67/3.78 | (86) $false
% 13.67/3.78 |
% 13.67/3.78 |-The branch is then unsatisfiable
% 13.67/3.78 |-Branch two:
% 13.67/3.78 | (40) ~ (null = nn)
% 13.67/3.78 | (88) ? [v0] : (node_next(nn) = v0 & ( ~ v__1(v0, nn, nn) | ~ object(v0)))
% 13.67/3.78 |
% 13.67/3.78 | Instantiating (88) with all_13_0_15 yields:
% 13.67/3.78 | (89) node_next(nn) = all_13_0_15 & ( ~ v__1(all_13_0_15, nn, nn) | ~ object(all_13_0_15))
% 13.67/3.78 |
% 13.67/3.78 | Applying alpha-rule on (89) yields:
% 13.67/3.78 | (90) node_next(nn) = all_13_0_15
% 13.67/3.78 | (91) ~ v__1(all_13_0_15, nn, nn) | ~ object(all_13_0_15)
% 13.67/3.78 |
% 13.67/3.78 +-Applying beta-rule and splitting (82), into two cases.
% 13.67/3.78 |-Branch one:
% 13.67/3.78 | (85) null = nn
% 13.67/3.78 |
% 13.67/3.78 | Equations (85) can reduce 40 to:
% 13.67/3.78 | (86) $false
% 13.67/3.78 |
% 13.67/3.78 |-The branch is then unsatisfiable
% 13.67/3.78 |-Branch two:
% 13.67/3.78 | (40) ~ (null = nn)
% 13.67/3.78 | (95) null = prev_2 | ? [v0] : (node_key(prev_2) = v0 & ( ~ (v0 = all_0_14_14) | ~ integer(all_0_14_14)) & ( ~ integer(v0) | ~ integer(all_0_14_14) | lteq(v0, all_0_14_14)))
% 13.67/3.78 |
% 13.67/3.78 +-Applying beta-rule and splitting (95), into two cases.
% 13.67/3.78 |-Branch one:
% 13.67/3.78 | (96) null = prev_2
% 13.67/3.78 |
% 13.67/3.78 | Equations (96) can reduce 29 to:
% 13.67/3.78 | (86) $false
% 13.67/3.78 |
% 13.67/3.78 |-The branch is then unsatisfiable
% 13.67/3.78 |-Branch two:
% 13.67/3.78 | (29) ~ (null = prev_2)
% 13.67/3.78 | (99) ? [v0] : (node_key(prev_2) = v0 & ( ~ (v0 = all_0_14_14) | ~ integer(all_0_14_14)) & ( ~ integer(v0) | ~ integer(all_0_14_14) | lteq(v0, all_0_14_14)))
% 13.67/3.78 |
% 13.67/3.78 | Instantiating (99) with all_23_0_16 yields:
% 13.67/3.78 | (100) node_key(prev_2) = all_23_0_16 & ( ~ (all_23_0_16 = all_0_14_14) | ~ integer(all_0_14_14)) & ( ~ integer(all_23_0_16) | ~ integer(all_0_14_14) | lteq(all_23_0_16, all_0_14_14))
% 13.67/3.78 |
% 13.67/3.78 | Applying alpha-rule on (100) yields:
% 13.67/3.78 | (101) node_key(prev_2) = all_23_0_16
% 13.67/3.78 | (102) ~ (all_23_0_16 = all_0_14_14) | ~ integer(all_0_14_14)
% 13.67/3.78 | (103) ~ integer(all_23_0_16) | ~ integer(all_0_14_14) | lteq(all_23_0_16, all_0_14_14)
% 13.67/3.78 |
% 13.67/3.78 | Instantiating formula (52) with nn, all_13_0_15, all_0_13_13 and discharging atoms node_next(nn) = all_13_0_15, node_next(nn) = all_0_13_13, yields:
% 13.67/3.78 | (104) all_13_0_15 = all_0_13_13
% 13.67/3.78 |
% 13.67/3.78 | From (104) and (90) follows:
% 13.67/3.78 | (37) node_next(nn) = all_0_13_13
% 13.67/3.78 |
% 13.67/3.78 +-Applying beta-rule and splitting (91), into two cases.
% 13.67/3.78 |-Branch one:
% 13.67/3.78 | (106) ~ v__1(all_13_0_15, nn, nn)
% 13.67/3.78 |
% 13.67/3.78 | From (104) and (106) follows:
% 13.67/3.78 | (107) ~ v__1(all_0_13_13, nn, nn)
% 13.67/3.78 |
% 13.67/3.78 | Instantiating formula (36) with all_23_0_16, prev_2 and discharging atoms node_key(prev_2) = all_23_0_16, yields:
% 13.67/3.78 | (108) integer(all_23_0_16)
% 13.67/3.78 |
% 13.67/3.78 | Instantiating formula (48) with all_0_13_13, nn and discharging atoms node_next(nn) = all_0_13_13, object(all_0_13_13), object(nn), yields:
% 13.67/3.78 | (109) v__1(nn, all_0_13_13, all_0_13_13)
% 13.67/3.78 |
% 13.67/3.78 +-Applying beta-rule and splitting (103), into two cases.
% 13.67/3.78 |-Branch one:
% 13.67/3.78 | (110) ~ integer(all_23_0_16)
% 13.67/3.78 |
% 13.67/3.78 | Using (108) and (110) yields:
% 13.67/3.78 | (111) $false
% 13.67/3.78 |
% 13.67/3.78 |-The branch is then unsatisfiable
% 13.67/3.78 |-Branch two:
% 13.67/3.78 | (108) integer(all_23_0_16)
% 13.67/3.78 | (113) ~ integer(all_0_14_14) | lteq(all_23_0_16, all_0_14_14)
% 13.67/3.78 |
% 13.67/3.78 | Instantiating formula (78) with all_0_13_13, nn, sortedList_first and discharging atoms v__1(sortedList_first, nn, nn), v__1(nn, all_0_13_13, all_0_13_13), object(all_0_13_13), object(sortedList_first), object(nn), yields:
% 13.67/3.78 | (114) v__1(sortedList_first, all_0_13_13, all_0_13_13)
% 13.67/3.78 |
% 13.67/3.78 | Instantiating formula (14) with all_23_0_16, prev_2, prev_2 and discharging atoms node_key(prev_2) = all_23_0_16, v__1(sortedList_first, prev_2, prev_2), object(prev_2), integer(all_23_0_16), yields:
% 13.67/3.78 | (115) null = prev_2 | ? [v0] : (node_next(prev_2) = v0 & ( ~ v__1(v0, prev_2, prev_2) | ~ object(v0)))
% 13.67/3.78 |
% 13.67/3.78 +-Applying beta-rule and splitting (115), into two cases.
% 13.67/3.78 |-Branch one:
% 13.67/3.78 | (96) null = prev_2
% 13.67/3.78 |
% 13.67/3.78 | Equations (96) can reduce 29 to:
% 13.67/3.78 | (86) $false
% 13.67/3.78 |
% 13.67/3.78 |-The branch is then unsatisfiable
% 13.67/3.78 |-Branch two:
% 13.67/3.78 | (29) ~ (null = prev_2)
% 13.67/3.78 | (119) ? [v0] : (node_next(prev_2) = v0 & ( ~ v__1(v0, prev_2, prev_2) | ~ object(v0)))
% 13.67/3.78 |
% 13.67/3.78 | Instantiating (119) with all_61_0_17 yields:
% 13.67/3.78 | (120) node_next(prev_2) = all_61_0_17 & ( ~ v__1(all_61_0_17, prev_2, prev_2) | ~ object(all_61_0_17))
% 13.67/3.78 |
% 13.67/3.78 | Applying alpha-rule on (120) yields:
% 13.67/3.78 | (121) node_next(prev_2) = all_61_0_17
% 13.67/3.78 | (122) ~ v__1(all_61_0_17, prev_2, prev_2) | ~ object(all_61_0_17)
% 13.67/3.78 |
% 13.67/3.78 | Instantiating formula (52) with prev_2, all_61_0_17, nn and discharging atoms node_next(prev_2) = all_61_0_17, node_next(prev_2) = nn, yields:
% 13.67/3.78 | (123) all_61_0_17 = nn
% 13.67/3.78 |
% 13.67/3.78 +-Applying beta-rule and splitting (122), into two cases.
% 13.67/3.78 |-Branch one:
% 13.67/3.78 | (124) ~ v__1(all_61_0_17, prev_2, prev_2)
% 13.67/3.78 |
% 13.67/3.78 | From (123) and (124) follows:
% 13.67/3.78 | (125) ~ v__1(nn, prev_2, prev_2)
% 13.67/3.78 |
% 13.67/3.78 +-Applying beta-rule and splitting (15), into two cases.
% 13.67/3.78 |-Branch one:
% 13.67/3.78 | (126) ~ v__1(sortedList_first, all_0_12_12, all_0_12_12)
% 13.67/3.78 |
% 13.67/3.78 +-Applying beta-rule and splitting (63), into two cases.
% 13.67/3.78 |-Branch one:
% 13.67/3.78 | (127) ( ~ (all_0_12_12 = prev_2) & ((all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn))))))) | ( ~ (all_0_12_12 = prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)))))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn))))
% 13.67/3.79 |
% 13.67/3.79 +-Applying beta-rule and splitting (127), into two cases.
% 13.67/3.79 |-Branch one:
% 13.67/3.79 | (128) ~ (all_0_12_12 = prev_2) & ((all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn))))))
% 13.67/3.80 |
% 13.67/3.80 | Applying alpha-rule on (128) yields:
% 13.67/3.80 | (129) ~ (all_0_12_12 = prev_2)
% 13.67/3.80 | (130) (all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))
% 13.67/3.80 | (131) (all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))
% 13.67/3.80 | (132) ( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)))))
% 13.67/3.80 |
% 13.67/3.80 +-Applying beta-rule and splitting (130), into two cases.
% 13.67/3.80 |-Branch one:
% 13.67/3.80 | (133) (all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12))))
% 13.67/3.80 |
% 13.67/3.80 +-Applying beta-rule and splitting (133), into two cases.
% 13.67/3.80 |-Branch one:
% 13.67/3.80 | (134) all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))
% 13.67/3.80 |
% 13.67/3.80 | Applying alpha-rule on (134) yields:
% 13.67/3.80 | (135) all_0_0_0 = all_0_13_13
% 13.67/3.80 | (136) v__1(all_0_13_13, all_0_12_12, all_0_12_12)
% 13.67/3.80 | (81) object(all_0_13_13)
% 13.67/3.80 | (138) (all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn))
% 13.67/3.80 |
% 13.67/3.80 | Instantiating formula (78) with all_0_12_12, all_0_13_13, sortedList_first and discharging atoms v__1(all_0_13_13, all_0_12_12, all_0_12_12), v__1(sortedList_first, all_0_13_13, all_0_13_13), object(all_0_12_12), object(all_0_13_13), object(sortedList_first), ~ v__1(sortedList_first, all_0_12_12, all_0_12_12), yields:
% 13.67/3.80 | (111) $false
% 13.67/3.80 |
% 13.67/3.80 |-The branch is then unsatisfiable
% 13.67/3.80 |-Branch two:
% 13.67/3.80 | (140) all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))
% 13.67/3.80 |
% 13.67/3.80 | Applying alpha-rule on (140) yields:
% 13.67/3.80 | (141) ~ (all_0_12_12 = nn)
% 13.67/3.80 | (142) (all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12))
% 13.67/3.80 | (81) object(all_0_13_13)
% 13.67/3.80 | (144) v__1(all_0_13_13, all_0_12_12, nn)
% 13.67/3.80 | (145) all_0_2_2 = all_0_13_13
% 13.67/3.80 | (146) v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))
% 13.67/3.80 |
% 13.67/3.80 +-Applying beta-rule and splitting (142), into two cases.
% 13.67/3.80 |-Branch one:
% 13.67/3.80 | (147) all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)
% 13.67/3.80 |
% 13.67/3.80 | Applying alpha-rule on (147) yields:
% 13.67/3.80 | (135) all_0_0_0 = all_0_13_13
% 13.67/3.80 | (149) all_0_1_1 = all_0_13_13
% 13.67/3.80 | (150) v__1(all_0_13_13, nn, nn)
% 13.67/3.80 | (151) ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)
% 13.67/3.80 |
% 13.67/3.80 | Using (150) and (107) yields:
% 13.67/3.80 | (111) $false
% 13.67/3.80 |
% 13.67/3.80 |-The branch is then unsatisfiable
% 13.67/3.80 |-Branch two:
% 13.67/3.80 | (153) all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)
% 13.67/3.80 |
% 13.67/3.80 | Applying alpha-rule on (153) yields:
% 13.67/3.80 | (149) all_0_1_1 = all_0_13_13
% 13.67/3.80 | (155) v__1(all_0_13_13, nn, all_0_12_12)
% 13.67/3.80 |
% 13.67/3.80 | Instantiating formula (54) with all_0_12_12, nn, all_0_13_13 and discharging atoms v__1(all_0_13_13, nn, all_0_12_12), object(all_0_12_12), object(all_0_13_13), object(nn), ~ v__1(all_0_13_13, nn, nn), yields:
% 13.67/3.80 | (111) $false
% 13.67/3.80 |
% 13.67/3.80 |-The branch is then unsatisfiable
% 13.67/3.80 |-Branch two:
% 13.67/3.80 | (157) ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13)))
% 13.67/3.80 |
% 13.67/3.80 | Applying alpha-rule on (157) yields:
% 13.67/3.80 | (141) ~ (all_0_12_12 = nn)
% 13.67/3.80 | (159) v__1(null, all_0_12_12, all_0_12_12)
% 13.67/3.80 | (160) ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)
% 13.67/3.80 | (161) (all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))
% 13.67/3.80 |
% 13.67/3.80 | Instantiating formula (53) with all_0_12_12, null and discharging atoms node_next(null) = null, v__1(null, all_0_12_12, all_0_12_12), object(all_0_12_12), object(null), yields:
% 13.67/3.80 | (162) all_0_12_12 = null
% 13.67/3.80 |
% 13.67/3.80 | Equations (162) can reduce 23 to:
% 13.67/3.80 | (86) $false
% 13.67/3.80 |
% 13.67/3.80 |-The branch is then unsatisfiable
% 13.67/3.80 |-Branch two:
% 13.67/3.80 | (164) ~ (all_0_12_12 = prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)))))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)))
% 14.08/3.81 |
% 14.08/3.81 | Applying alpha-rule on (164) yields:
% 14.08/3.81 | (129) ~ (all_0_12_12 = prev_2)
% 14.08/3.81 | (131) (all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))
% 14.08/3.81 | (132) ( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)))))
% 14.08/3.81 | (168) ( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn))
% 14.08/3.81 |
% 14.08/3.81 +-Applying beta-rule and splitting (168), into two cases.
% 14.08/3.81 |-Branch one:
% 14.08/3.81 | (169) ( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))))
% 14.08/3.81 |
% 14.08/3.81 +-Applying beta-rule and splitting (169), into two cases.
% 14.08/3.81 |-Branch one:
% 14.08/3.81 | (170) ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))
% 14.08/3.81 |
% 14.08/3.81 | Applying alpha-rule on (170) yields:
% 14.08/3.81 | (171) ~ (prev_2 = nn)
% 14.08/3.81 | (172) v__1(sortedList_first, all_0_12_12, nn)
% 14.08/3.81 | (173) v__1(sortedList_first, nn, prev_2)
% 14.08/3.81 | (174) v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))
% 14.08/3.81 |
% 14.08/3.81 | Instantiating formula (27) with prev_2, nn, sortedList_first and discharging atoms v__1(sortedList_first, nn, prev_2), object(sortedList_first), object(prev_2), object(nn), ~ v__1(nn, prev_2, prev_2), yields:
% 14.08/3.81 | (111) $false
% 14.08/3.81 |
% 14.08/3.81 |-The branch is then unsatisfiable
% 14.08/3.81 |-Branch two:
% 14.08/3.81 | (176) ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))
% 14.08/3.81 |
% 14.08/3.81 | Applying alpha-rule on (176) yields:
% 14.08/3.81 | (171) ~ (prev_2 = nn)
% 14.08/3.81 | (173) v__1(sortedList_first, nn, prev_2)
% 14.08/3.81 | (179) v__1(null, all_0_12_12, prev_2)
% 14.08/3.81 | (174) v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))
% 14.08/3.81 |
% 14.08/3.81 | Instantiating formula (27) with prev_2, nn, sortedList_first and discharging atoms v__1(sortedList_first, nn, prev_2), object(sortedList_first), object(prev_2), object(nn), ~ v__1(nn, prev_2, prev_2), yields:
% 14.08/3.81 | (111) $false
% 14.08/3.81 |
% 14.08/3.81 |-The branch is then unsatisfiable
% 14.08/3.81 |-Branch two:
% 14.08/3.81 | (182) v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)
% 14.08/3.81 |
% 14.08/3.81 | Applying alpha-rule on (182) yields:
% 14.08/3.81 | (183) v__1(sortedList_first, all_0_12_12, prev_2)
% 14.08/3.81 | (184) v__1(sortedList_first, prev_2, nn)
% 14.08/3.81 |
% 14.08/3.81 | Instantiating formula (54) with prev_2, all_0_12_12, sortedList_first and discharging atoms v__1(sortedList_first, all_0_12_12, prev_2), object(all_0_12_12), object(sortedList_first), object(prev_2), ~ v__1(sortedList_first, all_0_12_12, all_0_12_12), yields:
% 14.08/3.81 | (111) $false
% 14.08/3.81 |
% 14.08/3.81 |-The branch is then unsatisfiable
% 14.08/3.81 |-Branch two:
% 14.08/3.81 | (186) (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)) | ( ~ v__1(sortedList_first, prev_2, nn) & (prev_2 = nn | ~ v__1(sortedList_first, nn, prev_2) | ~ v__1(null, prev_2, prev_2) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn)))))
% 14.08/3.81 |
% 14.08/3.81 | Applying alpha-rule on (186) yields:
% 14.08/3.81 | (187) ( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn))
% 14.08/3.81 | (188) ( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)) | ( ~ v__1(sortedList_first, prev_2, nn) & (prev_2 = nn | ~ v__1(sortedList_first, nn, prev_2) | ~ v__1(null, prev_2, prev_2) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn))))
% 14.08/3.81 |
% 14.08/3.81 +-Applying beta-rule and splitting (187), into two cases.
% 14.08/3.81 |-Branch one:
% 14.08/3.81 | (189) ( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)))
% 14.08/3.82 |
% 14.08/3.82 +-Applying beta-rule and splitting (189), into two cases.
% 14.08/3.82 |-Branch one:
% 14.08/3.82 | (190) ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))
% 14.08/3.82 |
% 14.08/3.82 | Applying alpha-rule on (190) yields:
% 14.08/3.82 | (141) ~ (all_0_12_12 = nn)
% 14.08/3.82 | (172) v__1(sortedList_first, all_0_12_12, nn)
% 14.08/3.82 | (193) ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)
% 14.08/3.82 | (146) v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))
% 14.08/3.82 |
% 14.08/3.82 | Instantiating formula (54) with nn, all_0_12_12, sortedList_first and discharging atoms v__1(sortedList_first, all_0_12_12, nn), object(all_0_12_12), object(sortedList_first), object(nn), ~ v__1(sortedList_first, all_0_12_12, all_0_12_12), yields:
% 14.08/3.82 | (111) $false
% 14.08/3.82 |
% 14.08/3.82 |-The branch is then unsatisfiable
% 14.08/3.82 |-Branch two:
% 14.08/3.82 | (196) ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))
% 14.08/3.82 |
% 14.08/3.82 | Applying alpha-rule on (196) yields:
% 14.08/3.82 | (141) ~ (all_0_12_12 = nn)
% 14.08/3.82 | (159) v__1(null, all_0_12_12, all_0_12_12)
% 14.08/3.82 | (193) ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)
% 14.08/3.82 | (160) ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)
% 14.08/3.82 |
% 14.08/3.82 | Instantiating formula (53) with all_0_12_12, null and discharging atoms node_next(null) = null, v__1(null, all_0_12_12, all_0_12_12), object(all_0_12_12), object(null), yields:
% 14.08/3.82 | (162) all_0_12_12 = null
% 14.08/3.82 |
% 14.08/3.82 | Equations (162) can reduce 23 to:
% 14.08/3.82 | (86) $false
% 14.08/3.82 |
% 14.08/3.82 |-The branch is then unsatisfiable
% 14.08/3.82 |-Branch two:
% 14.08/3.82 | (203) v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn)
% 14.08/3.82 |
% 14.08/3.82 | Applying alpha-rule on (203) yields:
% 14.08/3.82 | (204) v__1(sortedList_first, all_0_12_12, all_0_12_12)
% 14.08/3.82 | (172) v__1(sortedList_first, all_0_12_12, nn)
% 14.08/3.82 |
% 14.08/3.82 | Using (204) and (126) yields:
% 14.08/3.82 | (111) $false
% 14.08/3.82 |
% 14.08/3.82 |-The branch is then unsatisfiable
% 14.08/3.82 |-Branch two:
% 14.08/3.82 | (204) v__1(sortedList_first, all_0_12_12, all_0_12_12)
% 14.08/3.82 | (208) all_0_12_12 = nn
% 14.08/3.82 |
% 14.08/3.82 | From (208) and (46) follows:
% 14.08/3.82 | (39) object(nn)
% 14.08/3.82 |
% 14.08/3.82 +-Applying beta-rule and splitting (83), into two cases.
% 14.08/3.82 |-Branch one:
% 14.08/3.82 | (184) v__1(sortedList_first, prev_2, nn)
% 14.08/3.82 |
% 14.08/3.82 +-Applying beta-rule and splitting (63), into two cases.
% 14.08/3.82 |-Branch one:
% 14.08/3.82 | (127) ( ~ (all_0_12_12 = prev_2) & ((all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn))))))) | ( ~ (all_0_12_12 = prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)))))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn))))
% 14.08/3.82 |
% 14.08/3.82 +-Applying beta-rule and splitting (127), into two cases.
% 14.08/3.82 |-Branch one:
% 14.08/3.82 | (128) ~ (all_0_12_12 = prev_2) & ((all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn))))))
% 14.08/3.83 |
% 14.08/3.83 | Applying alpha-rule on (128) yields:
% 14.08/3.83 | (129) ~ (all_0_12_12 = prev_2)
% 14.08/3.83 | (130) (all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))
% 14.08/3.83 | (131) (all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))
% 14.08/3.83 | (132) ( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)))))
% 14.08/3.83 |
% 14.08/3.83 +-Applying beta-rule and splitting (130), into two cases.
% 14.08/3.83 |-Branch one:
% 14.08/3.83 | (133) (all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12))))
% 14.08/3.83 |
% 14.08/3.83 +-Applying beta-rule and splitting (133), into two cases.
% 14.08/3.83 |-Branch one:
% 14.08/3.83 | (134) all_0_0_0 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))
% 14.08/3.83 |
% 14.08/3.83 | Applying alpha-rule on (134) yields:
% 14.08/3.83 | (135) all_0_0_0 = all_0_13_13
% 14.08/3.83 | (136) v__1(all_0_13_13, all_0_12_12, all_0_12_12)
% 14.08/3.83 | (81) object(all_0_13_13)
% 14.08/3.83 | (138) (all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn))
% 14.08/3.83 |
% 14.08/3.83 | From (208)(208) and (136) follows:
% 14.08/3.83 | (150) v__1(all_0_13_13, nn, nn)
% 14.08/3.83 |
% 14.08/3.83 | Using (150) and (107) yields:
% 14.08/3.83 | (111) $false
% 14.08/3.83 |
% 14.08/3.83 |-The branch is then unsatisfiable
% 14.08/3.83 |-Branch two:
% 14.08/3.83 | (140) all_0_2_2 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))
% 14.08/3.83 |
% 14.08/3.83 | Applying alpha-rule on (140) yields:
% 14.08/3.83 | (141) ~ (all_0_12_12 = nn)
% 14.08/3.83 | (142) (all_0_0_0 = all_0_13_13 & all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_1_1 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12))
% 14.08/3.83 | (81) object(all_0_13_13)
% 14.08/3.83 | (144) v__1(all_0_13_13, all_0_12_12, nn)
% 14.08/3.83 | (145) all_0_2_2 = all_0_13_13
% 14.08/3.83 | (146) v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))
% 14.08/3.83 |
% 14.08/3.83 | Equations (208) can reduce 141 to:
% 14.08/3.83 | (86) $false
% 14.08/3.83 |
% 14.08/3.83 |-The branch is then unsatisfiable
% 14.08/3.83 |-Branch two:
% 14.08/3.83 | (157) ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13)))
% 14.08/3.83 |
% 14.08/3.83 | Applying alpha-rule on (157) yields:
% 14.08/3.83 | (141) ~ (all_0_12_12 = nn)
% 14.08/3.83 | (159) v__1(null, all_0_12_12, all_0_12_12)
% 14.08/3.83 | (160) ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)
% 14.08/3.83 | (161) (all_0_1_1 = all_0_13_13 & all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_2_2 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))
% 14.08/3.83 |
% 14.08/3.83 | Equations (208) can reduce 141 to:
% 14.08/3.83 | (86) $false
% 14.08/3.83 |
% 14.08/3.83 |-The branch is then unsatisfiable
% 14.08/3.83 |-Branch two:
% 14.08/3.83 | (164) ~ (all_0_12_12 = prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)))))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)))
% 14.08/3.84 |
% 14.08/3.84 | Applying alpha-rule on (164) yields:
% 14.08/3.84 | (129) ~ (all_0_12_12 = prev_2)
% 14.08/3.84 | (131) (all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, prev_2) & object(all_0_13_13) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2) & ~ v__1(all_0_13_13, nn, nn)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, nn)))) | (all_0_11_11 = all_0_13_13 & ~ (prev_2 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_9_9 = all_0_13_13 & all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_10_10 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2)))) | ( ~ (prev_2 = nn) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))) & ((all_0_10_10 = all_0_13_13 & all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, nn, prev_2) & object(all_0_13_13)))) | ((prev_2 = nn | ~ v__1(null, prev_2, prev_2) | (all_0_10_10 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_11_11 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_11_11 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (prev_2 = nn | (all_0_8_8 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, nn, prev_2) & ((all_0_9_9 = all_0_13_13 & v__1(all_0_13_13, prev_2, prev_2)) | (all_0_9_9 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)))) | (all_0_9_9 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn)) | ( ~ v__1(null, prev_2, nn) & ( ~ v__1(null, prev_2, prev_2) | v__1(null, nn, nn)))) & ((all_0_3_3 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, all_0_12_12) & object(all_0_13_13) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & ~ v__1(all_0_13_13, nn, nn)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, all_0_12_12, nn)))) | (all_0_5_5 = all_0_13_13 & ~ (all_0_12_12 = nn) & v__1(all_0_13_13, all_0_12_12, nn) & object(all_0_13_13) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn))) & ((all_0_3_3 = all_0_13_13 & all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_4_4 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn)) & ((all_0_4_4 = all_0_13_13 & all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, nn) & object(all_0_13_13) & ~ v__1(all_0_13_13, all_0_12_12, all_0_12_12)) | (all_0_5_5 = all_0_13_13 & v__1(all_0_13_13, nn, all_0_12_12) & object(all_0_13_13))))) & ((all_0_6_6 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, nn) & ((all_0_7_7 = all_0_13_13 & v__1(all_0_13_13, nn, nn)) | (all_0_7_7 = all_0_13_13 & ~ v__1(all_0_13_13, prev_2, prev_2)))) | (all_0_7_7 = all_0_13_13 & object(all_0_13_13) & ~ v__1(all_0_13_13, prev_2, prev_2))))
% 14.08/3.84 | (132) ( ~ (all_0_12_12 = nn) & v__1(sortedList_first, prev_2, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, prev_2, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, prev_2, all_0_12_12)) | ((all_0_12_12 = nn | ~ v__1(sortedList_first, all_0_12_12, nn) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | ( ~ v__1(null, all_0_12_12, nn) & ( ~ v__1(null, all_0_12_12, all_0_12_12) | v__1(null, nn, nn)))) & (all_0_12_12 = nn | ~ v__1(null, all_0_12_12, all_0_12_12) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & ~ v__1(sortedList_first, nn, all_0_12_12)) | (v__1(null, nn, nn) & ~ v__1(null, all_0_12_12, nn))) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | ~ v__1(sortedList_first, all_0_12_12, nn)) & (v__1(sortedList_first, prev_2, nn) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, prev_2, prev_2) & ( ~ v__1(null, nn, nn) | v__1(null, prev_2, nn)))))
% 14.08/3.84 | (168) ( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn))
% 14.08/3.84 |
% 14.08/3.84 +-Applying beta-rule and splitting (168), into two cases.
% 14.08/3.84 |-Branch one:
% 14.08/3.84 | (169) ( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))))
% 14.08/3.84 |
% 14.08/3.84 +-Applying beta-rule and splitting (169), into two cases.
% 14.08/3.84 |-Branch one:
% 14.08/3.84 | (170) ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))
% 14.08/3.84 |
% 14.08/3.84 | Applying alpha-rule on (170) yields:
% 14.08/3.84 | (171) ~ (prev_2 = nn)
% 14.08/3.84 | (172) v__1(sortedList_first, all_0_12_12, nn)
% 14.08/3.84 | (173) v__1(sortedList_first, nn, prev_2)
% 14.08/3.84 | (174) v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))
% 14.08/3.84 |
% 14.08/3.84 | Instantiating formula (27) with prev_2, nn, sortedList_first and discharging atoms v__1(sortedList_first, nn, prev_2), object(sortedList_first), object(prev_2), object(nn), ~ v__1(nn, prev_2, prev_2), yields:
% 14.08/3.84 | (111) $false
% 14.08/3.84 |
% 14.08/3.84 |-The branch is then unsatisfiable
% 14.08/3.84 |-Branch two:
% 14.08/3.84 | (176) ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))
% 14.08/3.84 |
% 14.08/3.84 | Applying alpha-rule on (176) yields:
% 14.08/3.84 | (171) ~ (prev_2 = nn)
% 14.08/3.84 | (173) v__1(sortedList_first, nn, prev_2)
% 14.08/3.84 | (179) v__1(null, all_0_12_12, prev_2)
% 14.08/3.84 | (174) v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))
% 14.08/3.84 |
% 14.08/3.84 | From (208) and (179) follows:
% 14.08/3.84 | (256) v__1(null, nn, prev_2)
% 14.08/3.84 |
% 14.08/3.84 | Instantiating formula (27) with prev_2, nn, null and discharging atoms v__1(null, nn, prev_2), object(null), object(prev_2), object(nn), ~ v__1(nn, prev_2, prev_2), yields:
% 14.08/3.84 | (111) $false
% 14.08/3.84 |
% 14.08/3.84 |-The branch is then unsatisfiable
% 14.08/3.84 |-Branch two:
% 14.08/3.84 | (182) v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)
% 14.08/3.84 |
% 14.08/3.84 | Applying alpha-rule on (182) yields:
% 14.08/3.84 | (183) v__1(sortedList_first, all_0_12_12, prev_2)
% 14.08/3.84 | (184) v__1(sortedList_first, prev_2, nn)
% 14.08/3.84 |
% 14.08/3.84 | From (208) and (183) follows:
% 14.08/3.84 | (173) v__1(sortedList_first, nn, prev_2)
% 14.08/3.84 |
% 14.08/3.84 | Instantiating formula (27) with prev_2, nn, sortedList_first and discharging atoms v__1(sortedList_first, nn, prev_2), object(sortedList_first), object(prev_2), object(nn), ~ v__1(nn, prev_2, prev_2), yields:
% 14.08/3.84 | (111) $false
% 14.08/3.84 |
% 14.08/3.84 |-The branch is then unsatisfiable
% 14.08/3.84 |-Branch two:
% 14.08/3.84 | (186) (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn))) & (( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)) | ( ~ v__1(sortedList_first, prev_2, nn) & (prev_2 = nn | ~ v__1(sortedList_first, nn, prev_2) | ~ v__1(null, prev_2, prev_2) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn)))))
% 14.08/3.84 |
% 14.08/3.84 | Applying alpha-rule on (186) yields:
% 14.08/3.84 | (187) ( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn))
% 14.08/3.84 | (188) ( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)) | ( ~ v__1(sortedList_first, prev_2, nn) & (prev_2 = nn | ~ v__1(sortedList_first, nn, prev_2) | ~ v__1(null, prev_2, prev_2) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn))))
% 14.08/3.84 |
% 14.08/3.84 +-Applying beta-rule and splitting (188), into two cases.
% 14.08/3.84 |-Branch one:
% 14.08/3.84 | (168) ( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | (v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn))
% 14.08/3.84 |
% 14.08/3.84 +-Applying beta-rule and splitting (168), into two cases.
% 14.08/3.84 |-Branch one:
% 14.08/3.84 | (169) ( ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))) | ( ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))))
% 14.08/3.85 |
% 14.08/3.85 +-Applying beta-rule and splitting (169), into two cases.
% 14.08/3.85 |-Branch one:
% 14.08/3.85 | (170) ~ (prev_2 = nn) & v__1(sortedList_first, all_0_12_12, nn) & v__1(sortedList_first, nn, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))
% 14.08/3.85 |
% 14.08/3.85 | Applying alpha-rule on (170) yields:
% 14.08/3.85 | (171) ~ (prev_2 = nn)
% 14.08/3.85 | (172) v__1(sortedList_first, all_0_12_12, nn)
% 14.08/3.85 | (173) v__1(sortedList_first, nn, prev_2)
% 14.08/3.85 | (174) v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))
% 14.08/3.85 |
% 14.08/3.85 | Instantiating formula (27) with prev_2, nn, sortedList_first and discharging atoms v__1(sortedList_first, nn, prev_2), object(sortedList_first), object(prev_2), object(nn), ~ v__1(nn, prev_2, prev_2), yields:
% 14.08/3.85 | (111) $false
% 14.08/3.85 |
% 14.08/3.85 |-The branch is then unsatisfiable
% 14.08/3.85 |-Branch two:
% 14.08/3.85 | (176) ~ (prev_2 = nn) & v__1(sortedList_first, nn, prev_2) & v__1(null, all_0_12_12, prev_2) & (v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn)))
% 14.08/3.85 |
% 14.08/3.85 | Applying alpha-rule on (176) yields:
% 14.08/3.85 | (171) ~ (prev_2 = nn)
% 14.08/3.85 | (173) v__1(sortedList_first, nn, prev_2)
% 14.08/3.85 | (179) v__1(null, all_0_12_12, prev_2)
% 14.08/3.85 | (174) v__1(null, prev_2, nn) | (v__1(null, prev_2, prev_2) & ~ v__1(null, nn, nn))
% 14.08/3.85 |
% 14.08/3.85 | From (208) and (179) follows:
% 14.08/3.85 | (256) v__1(null, nn, prev_2)
% 14.08/3.85 |
% 14.08/3.85 | Instantiating formula (27) with prev_2, nn, null and discharging atoms v__1(null, nn, prev_2), object(null), object(prev_2), object(nn), ~ v__1(nn, prev_2, prev_2), yields:
% 14.08/3.85 | (111) $false
% 14.08/3.85 |
% 14.08/3.85 |-The branch is then unsatisfiable
% 14.08/3.85 |-Branch two:
% 14.08/3.85 | (182) v__1(sortedList_first, all_0_12_12, prev_2) & v__1(sortedList_first, prev_2, nn)
% 14.08/3.85 |
% 14.08/3.85 | Applying alpha-rule on (182) yields:
% 14.08/3.85 | (183) v__1(sortedList_first, all_0_12_12, prev_2)
% 14.08/3.85 | (184) v__1(sortedList_first, prev_2, nn)
% 14.08/3.85 |
% 14.08/3.85 | From (208) and (183) follows:
% 14.08/3.85 | (173) v__1(sortedList_first, nn, prev_2)
% 14.08/3.85 |
% 14.08/3.85 | Instantiating formula (27) with prev_2, nn, sortedList_first and discharging atoms v__1(sortedList_first, nn, prev_2), object(sortedList_first), object(prev_2), object(nn), ~ v__1(nn, prev_2, prev_2), yields:
% 14.08/3.85 | (111) $false
% 14.08/3.85 |
% 14.08/3.85 |-The branch is then unsatisfiable
% 14.08/3.85 |-Branch two:
% 14.08/3.85 | (286) ~ v__1(sortedList_first, prev_2, nn) & (prev_2 = nn | ~ v__1(sortedList_first, nn, prev_2) | ~ v__1(null, prev_2, prev_2) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))) & (( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn)))
% 14.08/3.85 |
% 14.08/3.85 | Applying alpha-rule on (286) yields:
% 14.08/3.85 | (287) ~ v__1(sortedList_first, prev_2, nn)
% 14.08/3.85 | (288) prev_2 = nn | ~ v__1(sortedList_first, nn, prev_2) | ~ v__1(null, prev_2, prev_2) | (v__1(null, nn, nn) & ~ v__1(null, prev_2, nn))
% 14.08/3.85 | (187) ( ~ (all_0_12_12 = nn) & v__1(sortedList_first, all_0_12_12, nn) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & (v__1(null, all_0_12_12, nn) | (v__1(null, all_0_12_12, all_0_12_12) & ~ v__1(null, nn, nn)))) | ( ~ (all_0_12_12 = nn) & v__1(null, all_0_12_12, all_0_12_12) & ( ~ v__1(sortedList_first, all_0_12_12, all_0_12_12) | v__1(sortedList_first, nn, all_0_12_12)) & ( ~ v__1(null, nn, nn) | v__1(null, all_0_12_12, nn))) | (v__1(sortedList_first, all_0_12_12, all_0_12_12) & v__1(sortedList_first, all_0_12_12, nn))
% 14.08/3.85 |
% 14.08/3.85 | Using (184) and (287) yields:
% 14.08/3.85 | (111) $false
% 14.08/3.85 |
% 14.08/3.85 |-The branch is then unsatisfiable
% 14.08/3.85 |-Branch two:
% 14.08/3.85 | (287) ~ v__1(sortedList_first, prev_2, nn)
% 14.08/3.85 | (173) v__1(sortedList_first, nn, prev_2)
% 14.08/3.85 |
% 14.08/3.85 | Instantiating formula (27) with prev_2, nn, sortedList_first and discharging atoms v__1(sortedList_first, nn, prev_2), object(sortedList_first), object(prev_2), object(nn), ~ v__1(nn, prev_2, prev_2), yields:
% 14.08/3.85 | (111) $false
% 14.08/3.85 |
% 14.08/3.85 |-The branch is then unsatisfiable
% 14.08/3.85 |-Branch two:
% 14.08/3.85 | (294) v__1(all_61_0_17, prev_2, prev_2)
% 14.08/3.85 | (295) ~ object(all_61_0_17)
% 14.08/3.85 |
% 14.08/3.85 | From (123) and (295) follows:
% 14.08/3.85 | (296) ~ object(nn)
% 14.08/3.85 |
% 14.08/3.85 | Using (39) and (296) yields:
% 14.08/3.85 | (111) $false
% 14.08/3.85 |
% 14.08/3.85 |-The branch is then unsatisfiable
% 14.08/3.85 |-Branch two:
% 14.08/3.85 | (298) v__1(all_13_0_15, nn, nn)
% 14.08/3.85 | (299) ~ object(all_13_0_15)
% 14.08/3.85 |
% 14.08/3.85 | From (104) and (299) follows:
% 14.08/3.85 | (300) ~ object(all_0_13_13)
% 14.08/3.85 |
% 14.08/3.85 | Using (81) and (300) yields:
% 14.08/3.85 | (111) $false
% 14.08/3.85 |
% 14.08/3.85 |-The branch is then unsatisfiable
% 14.08/3.85 % SZS output end Proof for theBenchmark
% 14.08/3.85
% 14.08/3.85 3233ms
%------------------------------------------------------------------------------