%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SWV394+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n003.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 : Wed Jul 20 17:51:14 EDT 2022

% Result   : Theorem 10.35s 2.96s
% Output   : Proof 13.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV394+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 15 10:58:56 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.50/0.60          ____       _                          
% 0.50/0.60    ___  / __ \_____(_)___  ________  __________
% 0.50/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.50/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.50/0.60  
% 0.50/0.60  A Theorem Prover for First-Order Logic
% 0.50/0.60  (ePrincess v.1.0)
% 0.50/0.60  
% 0.50/0.60  (c) Philipp Rümmer, 2009-2015
% 0.50/0.60  (c) Peter Backeman, 2014-2015
% 0.50/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.60  Bug reports to peter@backeman.se
% 0.50/0.60  
% 0.50/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.60  
% 0.50/0.60  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.91/1.00  Prover 0: Preprocessing ...
% 3.31/1.35  Prover 0: Warning: ignoring some quantifiers
% 3.44/1.38  Prover 0: Constructing countermodel ...
% 6.72/2.13  Prover 0: gave up
% 6.72/2.13  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 6.91/2.18  Prover 1: Preprocessing ...
% 7.55/2.30  Prover 1: Constructing countermodel ...
% 9.08/2.68  Prover 1: gave up
% 9.08/2.68  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 9.37/2.72  Prover 2: Preprocessing ...
% 9.57/2.83  Prover 2: Warning: ignoring some quantifiers
% 9.57/2.83  Prover 2: Constructing countermodel ...
% 10.35/2.96  Prover 2: proved (271ms)
% 10.35/2.96  
% 10.35/2.96  No countermodel exists, formula is valid
% 10.35/2.96  % SZS status Theorem for theBenchmark
% 10.35/2.96  
% 10.35/2.96  Generating proof ... Warning: ignoring some quantifiers
% 12.97/3.53  found it (size 185)
% 12.97/3.53  
% 12.97/3.53  % SZS output start Proof for theBenchmark
% 12.97/3.53  Assumed formulas after preprocessing and simplification: 
% 12.97/3.53  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ( ~ (v8 = 0) &  ~ (v0 = 0) & ok(v6) = 0 & triple(v1, v2, v3) = v5 & check_cpq(v6) = 0 & remove_cpq(v5, v4) = v6 & pair_in_list(v2, v4, v7) = 0 & isnonempty_slb(create_slb) = v0 & less_than(v7, v4) = v8 &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (ok(v15) = 0) |  ~ (triple(v9, v10, v11) = v14) |  ~ (remove_cpq(v14, v12) = v15) |  ~ (remove_slb(v10, v12) = v16) |  ~ (pair_in_list(v16, v12, v13) = v17) |  ? [v18] : (( ~ (v18 = 0) & pair_in_list(v10, v12, v13) = v18) | ( ~ (v18 = 0) & strictly_less_than(v12, v13) = v18))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (pair_in_list(v15, v11, v13) = v16) |  ~ (pair(v10, v12) = v14) |  ~ (insert_slb(v9, v14) = v15) |  ? [v17] : ( ~ (v17 = 0) & pair_in_list(v9, v11, v13) = v17)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (insert_pqp(v9, v12) = v13) |  ~ (triple(v13, v15, v11) = v16) |  ~ (pair(v12, bottom) = v14) |  ~ (insert_slb(v10, v14) = v15) |  ? [v17] : (triple(v9, v10, v11) = v17 & insert_cpq(v17, v12) = v16)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (triple(v9, v15, v11) = v16) |  ~ (pair(v12, v13) = v14) |  ~ (insert_slb(v10, v14) = v15) |  ? [v17] :  ? [v18] :  ? [v19] : (( ~ (v17 = 0) & less_than(v13, v12) = v17) | (((v19 = 0 & triple(v9, v10, v11) = v18 & check_cpq(v18) = 0) | ( ~ (v17 = 0) & check_cpq(v16) = v17)) & ((v17 = 0 & check_cpq(v16) = 0) | ( ~ (v19 = 0) & triple(v9, v10, v11) = v18 & check_cpq(v18) = v19))))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (triple(v9, v15, v11) = v16) |  ~ (pair(v12, v13) = v14) |  ~ (insert_slb(v10, v14) = v15) |  ? [v17] : (( ~ (v17 = 0) & check_cpq(v16) = v17) | ( ~ (v17 = 0) & strictly_less_than(v12, v13) = v17))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (triple(v9, v10, v11) = v12) |  ~ (less_than(v14, v13) = v15) |  ? [v16] : (( ~ (v16 = 0) & check_cpq(v12) = v16) | ( ~ (v16 = 0) & pair_in_list(v10, v13, v14) = v16))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (contains_slb(v14, v11) = v15) |  ~ (pair(v10, v12) = v13) |  ~ (insert_slb(v9, v13) = v14) |  ? [v16] : ( ~ (v16 = 0) & contains_slb(v9, v11) = v16)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v13 = v12 |  ~ (pair_in_list(v15, v11, v13) = 0) |  ~ (pair(v10, v12) = v14) |  ~ (insert_slb(v9, v14) = v15) | pair_in_list(v9, v11, v13) = 0) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v11 = v10 |  ~ (lookup_slb(v14, v11) = v15) |  ~ (pair(v10, v12) = v13) |  ~ (insert_slb(v9, v13) = v14) |  ? [v16] : ((v16 = v15 & lookup_slb(v9, v11) = v15) | ( ~ (v16 = 0) & contains_slb(v9, v11) = v16))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v11 = v10 |  ~ (remove_slb(v14, v11) = v15) |  ~ (pair(v10, v12) = v13) |  ~ (insert_slb(v9, v13) = v14) |  ? [v16] :  ? [v17] : ((v17 = v15 & remove_slb(v9, v11) = v16 & insert_slb(v16, v13) = v15) | ( ~ (v16 = 0) & contains_slb(v9, v11) = v16))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v11 = v10 |  ~ (remove_slb(v9, v11) = v14) |  ~ (pair(v10, v12) = v13) |  ~ (insert_slb(v14, v13) = v15) |  ? [v16] :  ? [v17] : ((v17 = v15 & remove_slb(v16, v11) = v15 & insert_slb(v9, v13) = v16) | ( ~ (v16 = 0) & contains_slb(v9, v11) = v16))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : (v11 = v10 |  ~ (pair_in_list(v15, v11, v13) = 0) |  ~ (pair(v10, v12) = v14) |  ~ (insert_slb(v9, v14) = v15) | pair_in_list(v9, v11, v13) = 0) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (remove_pqp(v9, v12) = v13) |  ~ (triple(v13, v14, v11) = v15) |  ~ (remove_slb(v10, v12) = v14) |  ? [v16] :  ? [v17] : ((v17 = v15 & triple(v9, v10, v11) = v16 & remove_cpq(v16, v12) = v15) | ( ~ (v17 = 0) & lookup_slb(v10, v12) = v16 & less_than(v16, v12) = v17) | ( ~ (v16 = 0) & contains_slb(v10, v12) = v16))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ok(v15) = 0) |  ~ (triple(v9, v10, v11) = v14) |  ~ (remove_cpq(v14, v12) = v15) |  ~ (pair_in_list(v10, v12, v13) = 0) |  ? [v16] :  ? [v17] : ((v17 = 0 & remove_slb(v10, v12) = v16 & pair_in_list(v16, v12, v13) = 0) | ( ~ (v16 = 0) & strictly_less_than(v12, v13) = v16))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (ok(v15) = 0) |  ~ (triple(v9, v10, v11) = v14) |  ~ (remove_cpq(v14, v12) = v15) |  ~ (strictly_less_than(v12, v13) = 0) |  ? [v16] :  ? [v17] : ((v17 = 0 & remove_slb(v10, v12) = v16 & pair_in_list(v16, v12, v13) = 0) | ( ~ (v16 = 0) & pair_in_list(v10, v12, v13) = v16))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (update_slb(v14, v11) = v15) |  ~ (pair(v10, v12) = v13) |  ~ (insert_slb(v9, v13) = v14) |  ? [v16] :  ? [v17] :  ? [v18] : ((v18 = v15 & update_slb(v9, v11) = v16 & pair(v10, v11) = v17 & insert_slb(v16, v17) = v15) | ( ~ (v16 = 0) & strictly_less_than(v12, v11) = v16))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (update_slb(v14, v11) = v15) |  ~ (pair(v10, v12) = v13) |  ~ (insert_slb(v9, v13) = v14) |  ? [v16] :  ? [v17] : ((v17 = v15 & update_slb(v9, v11) = v16 & insert_slb(v16, v13) = v15) | ( ~ (v16 = 0) & less_than(v11, v12) = v16))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] :  ! [v15] : ( ~ (update_slb(v9, v11) = v14) |  ~ (pair(v10, v12) = v13) |  ~ (insert_slb(v14, v13) = v15) |  ? [v16] :  ? [v17] : ((v17 = v15 & update_slb(v16, v11) = v15 & insert_slb(v9, v13) = v16) | ( ~ (v16 = 0) & less_than(v11, v12) = v16))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = 0 |  ~ (contains_cpq(v13, v12) = v14) |  ~ (triple(v9, v10, v11) = v13) |  ? [v15] : ( ~ (v15 = 0) & contains_slb(v10, v12) = v15)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = 0 |  ~ (pair_in_list(v13, v10, v11) = v14) |  ~ (pair(v10, v11) = v12) |  ~ (insert_slb(v9, v12) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = 0 |  ~ (contains_slb(v13, v10) = v14) |  ~ (pair(v10, v11) = v12) |  ~ (insert_slb(v9, v12) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v11 = v10 |  ~ (contains_slb(v14, v11) = 0) |  ~ (pair(v10, v12) = v13) |  ~ (insert_slb(v9, v13) = v14) | contains_slb(v9, v11) = 0) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v10 = create_slb |  ~ (findmin_pqp_res(v9) = v12) |  ~ (triple(v9, v13, v11) = v14) |  ~ (update_slb(v10, v12) = v13) |  ? [v15] :  ? [v16] : ((v16 = v14 & triple(v9, v10, v11) = v15 & findmin_cpq_eff(v15) = v14) | ( ~ (v16 = 0) & lookup_slb(v10, v12) = v15 & less_than(v15, v12) = v16) | ( ~ (v15 = 0) & contains_slb(v10, v12) = v15))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (triple(v9, v10, v11) = v13) |  ~ (remove_cpq(v13, v12) = v14) |  ? [v15] :  ? [v16] :  ? [v17] : ((v17 = v14 & remove_pqp(v9, v12) = v15 & triple(v15, v16, v11) = v14 & remove_slb(v10, v12) = v16) | ( ~ (v16 = 0) & lookup_slb(v10, v12) = v15 & less_than(v15, v12) = v16) | ( ~ (v15 = 0) & contains_slb(v10, v12) = v15))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (triple(v9, v10, v11) = v13) |  ~ (remove_cpq(v13, v12) = v14) |  ? [v15] :  ? [v16] :  ? [v17] : ((v17 = v14 & remove_pqp(v9, v12) = v15 & triple(v15, v16, bad) = v14 & remove_slb(v10, v12) = v16) | ( ~ (v16 = 0) & lookup_slb(v10, v12) = v15 & strictly_less_than(v12, v15) = v16) | ( ~ (v15 = 0) & contains_slb(v10, v12) = v15))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (triple(v9, v10, v11) = v13) |  ~ (remove_cpq(v13, v12) = v14) |  ? [v15] : ((v15 = v14 & triple(v9, v10, bad) = v14) | (v15 = 0 & contains_slb(v10, v12) = 0))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (triple(v9, v10, v11) = v13) |  ~ (insert_cpq(v13, v12) = v14) |  ? [v15] :  ? [v16] :  ? [v17] : (insert_pqp(v9, v12) = v15 & triple(v15, v17, v11) = v14 & pair(v12, bottom) = v16 & insert_slb(v10, v16) = v17)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (triple(v9, v10, v11) = v12) |  ~ (pair_in_list(v10, v13, v14) = 0) |  ? [v15] : ((v15 = 0 & less_than(v14, v13) = 0) | ( ~ (v15 = 0) & check_cpq(v12) = v15))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (remove_cpq(v10, v11) = v12) |  ~ (succ_cpq(v9, v12) = v13) |  ? [v14] : ( ~ (v14 = 0) & succ_cpq(v9, v10) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (insert_cpq(v10, v11) = v12) |  ~ (succ_cpq(v9, v12) = v13) |  ? [v14] : ( ~ (v14 = 0) & succ_cpq(v9, v10) = v14)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v10 = v9 |  ~ (triple(v13, v12, v11) = v10) |  ~ (triple(v13, v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v10 = v9 |  ~ (pair_in_list(v13, v12, v11) = v10) |  ~ (pair_in_list(v13, v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v10 = create_slb |  ~ (findmin_cpq_res(v12) = v13) |  ~ (triple(v9, v10, v11) = v12) | findmin_pqp_res(v9) = v13) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v10 = create_slb |  ~ (triple(v9, v10, v11) = v12) |  ~ (findmin_cpq_eff(v12) = v13) |  ? [v14] :  ? [v15] :  ? [v16] : (findmin_pqp_res(v9) = v14 & ((v16 = v13 & triple(v9, v15, v11) = v13 & update_slb(v10, v14) = v15) | ( ~ (v16 = 0) & lookup_slb(v10, v14) = v15 & less_than(v15, v14) = v16) | ( ~ (v15 = 0) & contains_slb(v10, v14) = v15)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v10 = create_slb |  ~ (triple(v9, v10, v11) = v12) |  ~ (findmin_cpq_eff(v12) = v13) |  ? [v14] :  ? [v15] :  ? [v16] : (findmin_pqp_res(v9) = v14 & ((v16 = v13 & triple(v9, v15, bad) = v13 & update_slb(v10, v14) = v15) | (v15 = 0 & contains_slb(v10, v14) = 0)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v10 = create_slb |  ~ (triple(v9, v10, v11) = v12) |  ~ (findmin_cpq_eff(v12) = v13) |  ? [v14] :  ? [v15] :  ? [v16] : (findmin_pqp_res(v9) = v14 & ((v16 = v13 & triple(v9, v15, bad) = v13 & update_slb(v10, v14) = v15) | ( ~ (v16 = 0) & lookup_slb(v10, v14) = v15 & strictly_less_than(v14, v15) = v16) | ( ~ (v15 = 0) & contains_slb(v10, v14) = v15)))) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (contains_cpq(v13, v12) = 0) |  ~ (triple(v9, v10, v11) = v13) | contains_slb(v10, v12) = 0) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (pair(v10, v11) = v12) |  ~ (insert_slb(v9, v12) = v13) | lookup_slb(v13, v10) = v11) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (pair(v10, v11) = v12) |  ~ (insert_slb(v9, v12) = v13) | remove_slb(v13, v10) = v9) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (pair(v10, v11) = v12) |  ~ (insert_slb(v9, v12) = v13) | isnonempty_slb(v13) = 0) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (removemin_cpq_eff(v10) = v11) |  ~ (succ_cpq(v9, v11) = v12) |  ? [v13] : ( ~ (v13 = 0) & succ_cpq(v9, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (findmin_cpq_eff(v10) = v11) |  ~ (succ_cpq(v9, v11) = v12) |  ? [v13] : ( ~ (v13 = 0) & succ_cpq(v9, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (less_than(v10, v11) = 0) |  ~ (less_than(v9, v11) = v12) |  ? [v13] : ( ~ (v13 = 0) & less_than(v9, v10) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (less_than(v9, v11) = v12) |  ~ (less_than(v9, v10) = 0) |  ? [v13] : ( ~ (v13 = 0) & less_than(v10, v11) = v13)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v11 = bad |  ~ (triple(v9, v10, v11) = v12) | ok(v12) = 0) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (remove_pqp(v12, v11) = v10) |  ~ (remove_pqp(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (insert_pqp(v12, v11) = v10) |  ~ (insert_pqp(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (contains_cpq(v12, v11) = v10) |  ~ (contains_cpq(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (remove_cpq(v12, v11) = v10) |  ~ (remove_cpq(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (insert_cpq(v12, v11) = v10) |  ~ (insert_cpq(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (succ_cpq(v12, v11) = v10) |  ~ (succ_cpq(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (update_slb(v12, v11) = v10) |  ~ (update_slb(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (lookup_slb(v12, v11) = v10) |  ~ (lookup_slb(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (remove_slb(v12, v11) = v10) |  ~ (remove_slb(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (contains_slb(v12, v11) = v10) |  ~ (contains_slb(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (pair(v12, v11) = v10) |  ~ (pair(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (insert_slb(v12, v11) = v10) |  ~ (insert_slb(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (strictly_less_than(v12, v11) = v10) |  ~ (strictly_less_than(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v10 = v9 |  ~ (less_than(v12, v11) = v10) |  ~ (less_than(v12, v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (triple(v9, v10, v11) = v12) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : ((v15 = 0 &  ~ (v16 = 0) & pair_in_list(v10, v13, v14) = 0 & less_than(v14, v13) = v16) | (v13 = 0 & check_cpq(v12) = 0))) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (strictly_less_than(v9, v10) = v11) |  ? [v12] : ((v12 = 0 & less_than(v10, v9) = 0) | ( ~ (v12 = 0) & less_than(v9, v10) = v12))) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (less_than(v10, v9) = v11) | less_than(v9, v10) = 0) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (less_than(v10, v9) = v11) |  ? [v12] : ((v12 = 0 & strictly_less_than(v9, v10) = 0) | ( ~ (v12 = 0) & less_than(v9, v10) = v12))) &  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (less_than(v9, v10) = v11) | less_than(v10, v9) = 0) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (removemin_cpq_res(v11) = v10) |  ~ (removemin_cpq_res(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (findmin_cpq_res(v11) = v10) |  ~ (findmin_cpq_res(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (findmin_pqp_res(v11) = v10) |  ~ (findmin_pqp_res(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (ok(v11) = v10) |  ~ (ok(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (check_cpq(v11) = v10) |  ~ (check_cpq(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (removemin_cpq_eff(v11) = v10) |  ~ (removemin_cpq_eff(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (findmin_cpq_eff(v11) = v10) |  ~ (findmin_cpq_eff(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : (v10 = v9 |  ~ (isnonempty_slb(v11) = v10) |  ~ (isnonempty_slb(v11) = v9)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (triple(v9, v10, bad) = v11) |  ? [v12] : ( ~ (v12 = 0) & ok(v11) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (triple(v9, create_slb, v10) = v11) | findmin_cpq_res(v11) = bottom) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (triple(v9, create_slb, v10) = v11) | check_cpq(v11) = 0) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (triple(v9, create_slb, v10) = v11) |  ? [v12] : (triple(v9, create_slb, bad) = v12 & findmin_cpq_eff(v11) = v12)) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (less_than(v10, v11) = 0) |  ~ (less_than(v9, v10) = 0) | less_than(v9, v11) = 0) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (less_than(v10, v9) = v11) |  ? [v12] : ((v12 = 0 &  ~ (v11 = 0) & less_than(v9, v10) = 0) | ( ~ (v12 = 0) & strictly_less_than(v9, v10) = v12))) &  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (less_than(v9, v10) = v11) |  ? [v12] : ((v11 = 0 &  ~ (v12 = 0) & less_than(v10, v9) = v12) | ( ~ (v12 = 0) & strictly_less_than(v9, v10) = v12))) &  ! [v9] :  ! [v10] : (v10 = create_slb |  ~ (update_slb(create_slb, v9) = v10)) &  ! [v9] :  ! [v10] : (v10 = 0 |  ~ (succ_cpq(v9, v9) = v10)) &  ! [v9] :  ! [v10] : (v10 = 0 |  ~ (less_than(v9, v9) = v10)) &  ! [v9] :  ! [v10] : (v10 = 0 |  ~ (less_than(bottom, v9) = v10)) &  ! [v9] :  ! [v10] : ( ~ (removemin_cpq_res(v9) = v10) | findmin_cpq_res(v9) = v10) &  ! [v9] :  ! [v10] : ( ~ (findmin_cpq_res(v9) = v10) | removemin_cpq_res(v9) = v10) &  ! [v9] :  ! [v10] : ( ~ (findmin_cpq_res(v9) = v10) |  ? [v11] :  ? [v12] : (removemin_cpq_eff(v9) = v11 & findmin_cpq_eff(v9) = v12 & remove_cpq(v12, v10) = v11)) &  ! [v9] :  ! [v10] : ( ~ (removemin_cpq_eff(v9) = v10) |  ? [v11] :  ? [v12] : (findmin_cpq_res(v9) = v12 & findmin_cpq_eff(v9) = v11 & remove_cpq(v11, v12) = v10)) &  ! [v9] :  ! [v10] : ( ~ (findmin_cpq_eff(v9) = v10) |  ? [v11] :  ? [v12] : (findmin_cpq_res(v9) = v12 & removemin_cpq_eff(v9) = v11 & remove_cpq(v10, v12) = v11)) &  ! [v9] :  ! [v10] : ( ~ (succ_cpq(v9, v10) = 0) |  ? [v11] : (removemin_cpq_eff(v10) = v11 & succ_cpq(v9, v11) = 0)) &  ! [v9] :  ! [v10] : ( ~ (succ_cpq(v9, v10) = 0) |  ? [v11] : (findmin_cpq_eff(v10) = v11 & succ_cpq(v9, v11) = 0)) &  ! [v9] :  ! [v10] :  ~ (pair_in_list(create_slb, v9, v10) = 0) &  ! [v9] :  ! [v10] : ( ~ (strictly_less_than(v9, v10) = 0) |  ? [v11] : ( ~ (v11 = 0) & less_than(v10, v9) = v11 & less_than(v9, v10) = 0)) &  ! [v9] :  ! [v10] : ( ~ (less_than(v9, v10) = 0) |  ? [v11] : ((v11 = 0 & strictly_less_than(v9, v10) = 0) | (v11 = 0 & less_than(v10, v9) = 0))) &  ! [v9] :  ~ (contains_slb(create_slb, v9) = 0) &  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : triple(v11, v10, v9) = v12 &  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] : pair_in_list(v11, v10, v9) = v12 &  ? [v9] :  ? [v10] :  ? [v11] : remove_pqp(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : insert_pqp(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : contains_cpq(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : remove_cpq(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : insert_cpq(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : succ_cpq(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : update_slb(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : lookup_slb(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : remove_slb(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : contains_slb(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : pair(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : insert_slb(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : strictly_less_than(v10, v9) = v11 &  ? [v9] :  ? [v10] :  ? [v11] : less_than(v10, v9) = v11 &  ? [v9] :  ? [v10] : removemin_cpq_res(v9) = v10 &  ? [v9] :  ? [v10] : findmin_cpq_res(v9) = v10 &  ? [v9] :  ? [v10] : findmin_pqp_res(v9) = v10 &  ? [v9] :  ? [v10] : ok(v9) = v10 &  ? [v9] :  ? [v10] : check_cpq(v9) = v10 &  ? [v9] :  ? [v10] : removemin_cpq_eff(v9) = v10 &  ? [v9] :  ? [v10] : findmin_cpq_eff(v9) = v10 &  ? [v9] :  ? [v10] : isnonempty_slb(v9) = v10)
% 13.06/3.60  | 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 yields:
% 13.06/3.60  | (1)  ~ (all_0_0_0 = 0) &  ~ (all_0_8_8 = 0) & ok(all_0_2_2) = 0 & triple(all_0_7_7, all_0_6_6, all_0_5_5) = all_0_3_3 & check_cpq(all_0_2_2) = 0 & remove_cpq(all_0_3_3, all_0_4_4) = all_0_2_2 & pair_in_list(all_0_6_6, all_0_4_4, all_0_1_1) = 0 & isnonempty_slb(create_slb) = all_0_8_8 & less_than(all_0_1_1, all_0_4_4) = all_0_0_0 &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (ok(v6) = 0) |  ~ (triple(v0, v1, v2) = v5) |  ~ (remove_cpq(v5, v3) = v6) |  ~ (remove_slb(v1, v3) = v7) |  ~ (pair_in_list(v7, v3, v4) = v8) |  ? [v9] : (( ~ (v9 = 0) & pair_in_list(v1, v3, v4) = v9) | ( ~ (v9 = 0) & strictly_less_than(v3, v4) = v9))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = 0 |  ~ (pair_in_list(v6, v2, v4) = v7) |  ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) |  ? [v8] : ( ~ (v8 = 0) & pair_in_list(v0, v2, v4) = v8)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (insert_pqp(v0, v3) = v4) |  ~ (triple(v4, v6, v2) = v7) |  ~ (pair(v3, bottom) = v5) |  ~ (insert_slb(v1, v5) = v6) |  ? [v8] : (triple(v0, v1, v2) = v8 & insert_cpq(v8, v3) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (triple(v0, v6, v2) = v7) |  ~ (pair(v3, v4) = v5) |  ~ (insert_slb(v1, v5) = v6) |  ? [v8] :  ? [v9] :  ? [v10] : (( ~ (v8 = 0) & less_than(v4, v3) = v8) | (((v10 = 0 & triple(v0, v1, v2) = v9 & check_cpq(v9) = 0) | ( ~ (v8 = 0) & check_cpq(v7) = v8)) & ((v8 = 0 & check_cpq(v7) = 0) | ( ~ (v10 = 0) & triple(v0, v1, v2) = v9 & check_cpq(v9) = v10))))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (triple(v0, v6, v2) = v7) |  ~ (pair(v3, v4) = v5) |  ~ (insert_slb(v1, v5) = v6) |  ? [v8] : (( ~ (v8 = 0) & check_cpq(v7) = v8) | ( ~ (v8 = 0) & strictly_less_than(v3, v4) = v8))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (triple(v0, v1, v2) = v3) |  ~ (less_than(v5, v4) = v6) |  ? [v7] : (( ~ (v7 = 0) & check_cpq(v3) = v7) | ( ~ (v7 = 0) & pair_in_list(v1, v4, v5) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (contains_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] : ( ~ (v7 = 0) & contains_slb(v0, v2) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (pair_in_list(v6, v2, v4) = 0) |  ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) | pair_in_list(v0, v2, v4) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (lookup_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] : ((v7 = v6 & lookup_slb(v0, v2) = v6) | ( ~ (v7 = 0) & contains_slb(v0, v2) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (remove_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] :  ? [v8] : ((v8 = v6 & remove_slb(v0, v2) = v7 & insert_slb(v7, v4) = v6) | ( ~ (v7 = 0) & contains_slb(v0, v2) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (remove_slb(v0, v2) = v5) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v5, v4) = v6) |  ? [v7] :  ? [v8] : ((v8 = v6 & remove_slb(v7, v2) = v6 & insert_slb(v0, v4) = v7) | ( ~ (v7 = 0) & contains_slb(v0, v2) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (pair_in_list(v6, v2, v4) = 0) |  ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) | pair_in_list(v0, v2, v4) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (remove_pqp(v0, v3) = v4) |  ~ (triple(v4, v5, v2) = v6) |  ~ (remove_slb(v1, v3) = v5) |  ? [v7] :  ? [v8] : ((v8 = v6 & triple(v0, v1, v2) = v7 & remove_cpq(v7, v3) = v6) | ( ~ (v8 = 0) & lookup_slb(v1, v3) = v7 & less_than(v7, v3) = v8) | ( ~ (v7 = 0) & contains_slb(v1, v3) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ok(v6) = 0) |  ~ (triple(v0, v1, v2) = v5) |  ~ (remove_cpq(v5, v3) = v6) |  ~ (pair_in_list(v1, v3, v4) = 0) |  ? [v7] :  ? [v8] : ((v8 = 0 & remove_slb(v1, v3) = v7 & pair_in_list(v7, v3, v4) = 0) | ( ~ (v7 = 0) & strictly_less_than(v3, v4) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ok(v6) = 0) |  ~ (triple(v0, v1, v2) = v5) |  ~ (remove_cpq(v5, v3) = v6) |  ~ (strictly_less_than(v3, v4) = 0) |  ? [v7] :  ? [v8] : ((v8 = 0 & remove_slb(v1, v3) = v7 & pair_in_list(v7, v3, v4) = 0) | ( ~ (v7 = 0) & pair_in_list(v1, v3, v4) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] :  ? [v8] :  ? [v9] : ((v9 = v6 & update_slb(v0, v2) = v7 & pair(v1, v2) = v8 & insert_slb(v7, v8) = v6) | ( ~ (v7 = 0) & strictly_less_than(v3, v2) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] :  ? [v8] : ((v8 = v6 & update_slb(v0, v2) = v7 & insert_slb(v7, v4) = v6) | ( ~ (v7 = 0) & less_than(v2, v3) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v0, v2) = v5) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v5, v4) = v6) |  ? [v7] :  ? [v8] : ((v8 = v6 & update_slb(v7, v2) = v6 & insert_slb(v0, v4) = v7) | ( ~ (v7 = 0) & less_than(v2, v3) = v7))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (contains_cpq(v4, v3) = v5) |  ~ (triple(v0, v1, v2) = v4) |  ? [v6] : ( ~ (v6 = 0) & contains_slb(v1, v3) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (pair_in_list(v4, v1, v2) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (contains_slb(v4, v1) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v2 = v1 |  ~ (contains_slb(v5, v2) = 0) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) | contains_slb(v0, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = create_slb |  ~ (findmin_pqp_res(v0) = v3) |  ~ (triple(v0, v4, v2) = v5) |  ~ (update_slb(v1, v3) = v4) |  ? [v6] :  ? [v7] : ((v7 = v5 & triple(v0, v1, v2) = v6 & findmin_cpq_eff(v6) = v5) | ( ~ (v7 = 0) & lookup_slb(v1, v3) = v6 & less_than(v6, v3) = v7) | ( ~ (v6 = 0) & contains_slb(v1, v3) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v5 & remove_pqp(v0, v3) = v6 & triple(v6, v7, v2) = v5 & remove_slb(v1, v3) = v7) | ( ~ (v7 = 0) & lookup_slb(v1, v3) = v6 & less_than(v6, v3) = v7) | ( ~ (v6 = 0) & contains_slb(v1, v3) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v5 & remove_pqp(v0, v3) = v6 & triple(v6, v7, bad) = v5 & remove_slb(v1, v3) = v7) | ( ~ (v7 = 0) & lookup_slb(v1, v3) = v6 & strictly_less_than(v3, v6) = v7) | ( ~ (v6 = 0) & contains_slb(v1, v3) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ? [v6] : ((v6 = v5 & triple(v0, v1, bad) = v5) | (v6 = 0 & contains_slb(v1, v3) = 0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (insert_cpq(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : (insert_pqp(v0, v3) = v6 & triple(v6, v8, v2) = v5 & pair(v3, bottom) = v7 & insert_slb(v1, v7) = v8)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v3) |  ~ (pair_in_list(v1, v4, v5) = 0) |  ? [v6] : ((v6 = 0 & less_than(v5, v4) = 0) | ( ~ (v6 = 0) & check_cpq(v3) = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (remove_cpq(v1, v2) = v3) |  ~ (succ_cpq(v0, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & succ_cpq(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (insert_cpq(v1, v2) = v3) |  ~ (succ_cpq(v0, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & succ_cpq(v0, v1) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (triple(v4, v3, v2) = v1) |  ~ (triple(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (pair_in_list(v4, v3, v2) = v1) |  ~ (pair_in_list(v4, v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = create_slb |  ~ (findmin_cpq_res(v3) = v4) |  ~ (triple(v0, v1, v2) = v3) | findmin_pqp_res(v0) = v4) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ~ (findmin_cpq_eff(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : (findmin_pqp_res(v0) = v5 & ((v7 = v4 & triple(v0, v6, v2) = v4 & update_slb(v1, v5) = v6) | ( ~ (v7 = 0) & lookup_slb(v1, v5) = v6 & less_than(v6, v5) = v7) | ( ~ (v6 = 0) & contains_slb(v1, v5) = v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ~ (findmin_cpq_eff(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : (findmin_pqp_res(v0) = v5 & ((v7 = v4 & triple(v0, v6, bad) = v4 & update_slb(v1, v5) = v6) | (v6 = 0 & contains_slb(v1, v5) = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ~ (findmin_cpq_eff(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : (findmin_pqp_res(v0) = v5 & ((v7 = v4 & triple(v0, v6, bad) = v4 & update_slb(v1, v5) = v6) | ( ~ (v7 = 0) & lookup_slb(v1, v5) = v6 & strictly_less_than(v5, v6) = v7) | ( ~ (v6 = 0) & contains_slb(v1, v5) = v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (contains_cpq(v4, v3) = 0) |  ~ (triple(v0, v1, v2) = v4) | contains_slb(v1, v3) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | lookup_slb(v4, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | remove_slb(v4, v1) = v0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | isnonempty_slb(v4) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (removemin_cpq_eff(v1) = v2) |  ~ (succ_cpq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & succ_cpq(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (findmin_cpq_eff(v1) = v2) |  ~ (succ_cpq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & succ_cpq(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (less_than(v1, v2) = 0) |  ~ (less_than(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & less_than(v0, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (less_than(v0, v2) = v3) |  ~ (less_than(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & less_than(v1, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = bad |  ~ (triple(v0, v1, v2) = v3) | ok(v3) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_pqp(v3, v2) = v1) |  ~ (remove_pqp(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_pqp(v3, v2) = v1) |  ~ (insert_pqp(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (contains_cpq(v3, v2) = v1) |  ~ (contains_cpq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_cpq(v3, v2) = v1) |  ~ (remove_cpq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_cpq(v3, v2) = v1) |  ~ (insert_cpq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (succ_cpq(v3, v2) = v1) |  ~ (succ_cpq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (update_slb(v3, v2) = v1) |  ~ (update_slb(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (lookup_slb(v3, v2) = v1) |  ~ (lookup_slb(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_slb(v3, v2) = v1) |  ~ (remove_slb(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (contains_slb(v3, v2) = v1) |  ~ (contains_slb(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pair(v3, v2) = v1) |  ~ (pair(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_slb(v3, v2) = v1) |  ~ (insert_slb(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (strictly_less_than(v3, v2) = v1) |  ~ (strictly_less_than(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (less_than(v3, v2) = v1) |  ~ (less_than(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v6 = 0 &  ~ (v7 = 0) & pair_in_list(v1, v4, v5) = 0 & less_than(v5, v4) = v7) | (v4 = 0 & check_cpq(v3) = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (strictly_less_than(v0, v1) = v2) |  ? [v3] : ((v3 = 0 & less_than(v1, v0) = 0) | ( ~ (v3 = 0) & less_than(v0, v1) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less_than(v1, v0) = v2) | less_than(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less_than(v1, v0) = v2) |  ? [v3] : ((v3 = 0 & strictly_less_than(v0, v1) = 0) | ( ~ (v3 = 0) & less_than(v0, v1) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less_than(v0, v1) = v2) | less_than(v1, v0) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (removemin_cpq_res(v2) = v1) |  ~ (removemin_cpq_res(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_cpq_res(v2) = v1) |  ~ (findmin_cpq_res(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_pqp_res(v2) = v1) |  ~ (findmin_pqp_res(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (ok(v2) = v1) |  ~ (ok(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (check_cpq(v2) = v1) |  ~ (check_cpq(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (removemin_cpq_eff(v2) = v1) |  ~ (removemin_cpq_eff(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_cpq_eff(v2) = v1) |  ~ (findmin_cpq_eff(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (isnonempty_slb(v2) = v1) |  ~ (isnonempty_slb(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, v1, bad) = v2) |  ? [v3] : ( ~ (v3 = 0) & ok(v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | findmin_cpq_res(v2) = bottom) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | check_cpq(v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) |  ? [v3] : (triple(v0, create_slb, bad) = v3 & findmin_cpq_eff(v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (less_than(v1, v2) = 0) |  ~ (less_than(v0, v1) = 0) | less_than(v0, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (less_than(v1, v0) = v2) |  ? [v3] : ((v3 = 0 &  ~ (v2 = 0) & less_than(v0, v1) = 0) | ( ~ (v3 = 0) & strictly_less_than(v0, v1) = v3))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (less_than(v0, v1) = v2) |  ? [v3] : ((v2 = 0 &  ~ (v3 = 0) & less_than(v1, v0) = v3) | ( ~ (v3 = 0) & strictly_less_than(v0, v1) = v3))) &  ! [v0] :  ! [v1] : (v1 = create_slb |  ~ (update_slb(create_slb, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (succ_cpq(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (less_than(v0, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (less_than(bottom, v0) = v1)) &  ! [v0] :  ! [v1] : ( ~ (removemin_cpq_res(v0) = v1) | findmin_cpq_res(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (findmin_cpq_res(v0) = v1) | removemin_cpq_res(v0) = v1) &  ! [v0] :  ! [v1] : ( ~ (findmin_cpq_res(v0) = v1) |  ? [v2] :  ? [v3] : (removemin_cpq_eff(v0) = v2 & findmin_cpq_eff(v0) = v3 & remove_cpq(v3, v1) = v2)) &  ! [v0] :  ! [v1] : ( ~ (removemin_cpq_eff(v0) = v1) |  ? [v2] :  ? [v3] : (findmin_cpq_res(v0) = v3 & findmin_cpq_eff(v0) = v2 & remove_cpq(v2, v3) = v1)) &  ! [v0] :  ! [v1] : ( ~ (findmin_cpq_eff(v0) = v1) |  ? [v2] :  ? [v3] : (findmin_cpq_res(v0) = v3 & removemin_cpq_eff(v0) = v2 & remove_cpq(v1, v3) = v2)) &  ! [v0] :  ! [v1] : ( ~ (succ_cpq(v0, v1) = 0) |  ? [v2] : (removemin_cpq_eff(v1) = v2 & succ_cpq(v0, v2) = 0)) &  ! [v0] :  ! [v1] : ( ~ (succ_cpq(v0, v1) = 0) |  ? [v2] : (findmin_cpq_eff(v1) = v2 & succ_cpq(v0, v2) = 0)) &  ! [v0] :  ! [v1] :  ~ (pair_in_list(create_slb, v0, v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (strictly_less_than(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & less_than(v1, v0) = v2 & less_than(v0, v1) = 0)) &  ! [v0] :  ! [v1] : ( ~ (less_than(v0, v1) = 0) |  ? [v2] : ((v2 = 0 & strictly_less_than(v0, v1) = 0) | (v2 = 0 & less_than(v1, v0) = 0))) &  ! [v0] :  ~ (contains_slb(create_slb, v0) = 0) &  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : triple(v2, v1, v0) = v3 &  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : pair_in_list(v2, v1, v0) = v3 &  ? [v0] :  ? [v1] :  ? [v2] : remove_pqp(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : insert_pqp(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : contains_cpq(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : remove_cpq(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : insert_cpq(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : succ_cpq(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : update_slb(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : lookup_slb(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : remove_slb(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : contains_slb(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : pair(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : insert_slb(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : strictly_less_than(v1, v0) = v2 &  ? [v0] :  ? [v1] :  ? [v2] : less_than(v1, v0) = v2 &  ? [v0] :  ? [v1] : removemin_cpq_res(v0) = v1 &  ? [v0] :  ? [v1] : findmin_cpq_res(v0) = v1 &  ? [v0] :  ? [v1] : findmin_pqp_res(v0) = v1 &  ? [v0] :  ? [v1] : ok(v0) = v1 &  ? [v0] :  ? [v1] : check_cpq(v0) = v1 &  ? [v0] :  ? [v1] : removemin_cpq_eff(v0) = v1 &  ? [v0] :  ? [v1] : findmin_cpq_eff(v0) = v1 &  ? [v0] :  ? [v1] : isnonempty_slb(v0) = v1
% 13.06/3.62  |
% 13.06/3.62  | Applying alpha-rule on (1) yields:
% 13.06/3.62  | (2)  ! [v0] :  ! [v1] : ( ~ (succ_cpq(v0, v1) = 0) |  ? [v2] : (findmin_cpq_eff(v1) = v2 & succ_cpq(v0, v2) = 0))
% 13.06/3.62  | (3)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (check_cpq(v2) = v1) |  ~ (check_cpq(v2) = v0))
% 13.44/3.62  | (4)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : triple(v2, v1, v0) = v3
% 13.44/3.62  | (5)  ? [v0] :  ? [v1] :  ? [v2] : update_slb(v1, v0) = v2
% 13.44/3.62  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v5 & remove_pqp(v0, v3) = v6 & triple(v6, v7, v2) = v5 & remove_slb(v1, v3) = v7) | ( ~ (v7 = 0) & lookup_slb(v1, v3) = v6 & less_than(v6, v3) = v7) | ( ~ (v6 = 0) & contains_slb(v1, v3) = v6)))
% 13.44/3.62  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : ((v6 = 0 &  ~ (v7 = 0) & pair_in_list(v1, v4, v5) = 0 & less_than(v5, v4) = v7) | (v4 = 0 & check_cpq(v3) = 0)))
% 13.44/3.62  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (strictly_less_than(v3, v2) = v1) |  ~ (strictly_less_than(v3, v2) = v0))
% 13.44/3.62  | (9)  ! [v0] :  ! [v1] :  ~ (pair_in_list(create_slb, v0, v1) = 0)
% 13.44/3.62  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_cpq(v3, v2) = v1) |  ~ (insert_cpq(v3, v2) = v0))
% 13.44/3.62  | (11)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (strictly_less_than(v0, v1) = v2) |  ? [v3] : ((v3 = 0 & less_than(v1, v0) = 0) | ( ~ (v3 = 0) & less_than(v0, v1) = v3)))
% 13.44/3.62  | (12)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (less_than(v1, v0) = v2) |  ? [v3] : ((v3 = 0 &  ~ (v2 = 0) & less_than(v0, v1) = 0) | ( ~ (v3 = 0) & strictly_less_than(v0, v1) = v3)))
% 13.44/3.62  | (13)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (contains_slb(v4, v1) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4))
% 13.44/3.62  | (14)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | findmin_cpq_res(v2) = bottom)
% 13.44/3.62  | (15)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = create_slb |  ~ (findmin_cpq_res(v3) = v4) |  ~ (triple(v0, v1, v2) = v3) | findmin_pqp_res(v0) = v4)
% 13.44/3.62  | (16)  ~ (all_0_8_8 = 0)
% 13.44/3.62  | (17)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (less_than(v1, v2) = 0) |  ~ (less_than(v0, v1) = 0) | less_than(v0, v2) = 0)
% 13.44/3.62  | (18)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) |  ? [v3] : (triple(v0, create_slb, bad) = v3 & findmin_cpq_eff(v2) = v3))
% 13.44/3.62  | (19)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (remove_slb(v0, v2) = v5) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v5, v4) = v6) |  ? [v7] :  ? [v8] : ((v8 = v6 & remove_slb(v7, v2) = v6 & insert_slb(v0, v4) = v7) | ( ~ (v7 = 0) & contains_slb(v0, v2) = v7)))
% 13.44/3.62  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v0, v2) = v5) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v5, v4) = v6) |  ? [v7] :  ? [v8] : ((v8 = v6 & update_slb(v7, v2) = v6 & insert_slb(v0, v4) = v7) | ( ~ (v7 = 0) & less_than(v2, v3) = v7)))
% 13.44/3.62  | (21)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] :  ? [v8] :  ? [v9] : ((v9 = v6 & update_slb(v0, v2) = v7 & pair(v1, v2) = v8 & insert_slb(v7, v8) = v6) | ( ~ (v7 = 0) & strictly_less_than(v3, v2) = v7)))
% 13.44/3.62  | (22)  ? [v0] :  ? [v1] : findmin_pqp_res(v0) = v1
% 13.44/3.62  | (23)  ? [v0] :  ? [v1] :  ? [v2] : strictly_less_than(v1, v0) = v2
% 13.44/3.62  | (24)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (less_than(v0, v0) = v1))
% 13.44/3.62  | (25)  ! [v0] :  ! [v1] : ( ~ (strictly_less_than(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & less_than(v1, v0) = v2 & less_than(v0, v1) = 0))
% 13.44/3.62  | (26)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_pqp(v3, v2) = v1) |  ~ (remove_pqp(v3, v2) = v0))
% 13.44/3.62  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ~ (findmin_cpq_eff(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : (findmin_pqp_res(v0) = v5 & ((v7 = v4 & triple(v0, v6, bad) = v4 & update_slb(v1, v5) = v6) | (v6 = 0 & contains_slb(v1, v5) = 0))))
% 13.44/3.62  | (28)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_pqp_res(v2) = v1) |  ~ (findmin_pqp_res(v2) = v0))
% 13.44/3.62  | (29)  ! [v0] :  ! [v1] : ( ~ (removemin_cpq_eff(v0) = v1) |  ? [v2] :  ? [v3] : (findmin_cpq_res(v0) = v3 & findmin_cpq_eff(v0) = v2 & remove_cpq(v2, v3) = v1))
% 13.44/3.62  | (30)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ~ (findmin_cpq_eff(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : (findmin_pqp_res(v0) = v5 & ((v7 = v4 & triple(v0, v6, bad) = v4 & update_slb(v1, v5) = v6) | ( ~ (v7 = 0) & lookup_slb(v1, v5) = v6 & strictly_less_than(v5, v6) = v7) | ( ~ (v6 = 0) & contains_slb(v1, v5) = v6))))
% 13.44/3.63  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (insert_cpq(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : (insert_pqp(v0, v3) = v6 & triple(v6, v8, v2) = v5 & pair(v3, bottom) = v7 & insert_slb(v1, v7) = v8))
% 13.44/3.63  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : (v7 = 0 |  ~ (pair_in_list(v6, v2, v4) = v7) |  ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) |  ? [v8] : ( ~ (v8 = 0) & pair_in_list(v0, v2, v4) = v8))
% 13.44/3.63  | (33)  ? [v0] :  ? [v1] :  ? [v2] : remove_cpq(v1, v0) = v2
% 13.44/3.63  | (34)  ? [v0] :  ? [v1] : findmin_cpq_eff(v0) = v1
% 13.44/3.63  | (35)  ~ (all_0_0_0 = 0)
% 13.44/3.63  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_slb(v3, v2) = v1) |  ~ (insert_slb(v3, v2) = v0))
% 13.44/3.63  | (37)  ? [v0] :  ? [v1] :  ? [v2] : insert_pqp(v1, v0) = v2
% 13.44/3.63  | (38)  ! [v0] :  ! [v1] : ( ~ (findmin_cpq_eff(v0) = v1) |  ? [v2] :  ? [v3] : (findmin_cpq_res(v0) = v3 & removemin_cpq_eff(v0) = v2 & remove_cpq(v1, v3) = v2))
% 13.44/3.63  | (39)  ! [v0] :  ! [v1] : ( ~ (less_than(v0, v1) = 0) |  ? [v2] : ((v2 = 0 & strictly_less_than(v0, v1) = 0) | (v2 = 0 & less_than(v1, v0) = 0)))
% 13.44/3.63  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (update_slb(v3, v2) = v1) |  ~ (update_slb(v3, v2) = v0))
% 13.44/3.63  | (41)  ? [v0] :  ? [v1] : removemin_cpq_eff(v0) = v1
% 13.44/3.63  | (42)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (remove_cpq(v1, v2) = v3) |  ~ (succ_cpq(v0, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & succ_cpq(v0, v1) = v5))
% 13.44/3.63  | (43)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (contains_cpq(v4, v3) = 0) |  ~ (triple(v0, v1, v2) = v4) | contains_slb(v1, v3) = 0)
% 13.44/3.63  | (44) ok(all_0_2_2) = 0
% 13.44/3.63  | (45)  ? [v0] :  ? [v1] :  ? [v2] : less_than(v1, v0) = v2
% 13.44/3.63  | (46)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (less_than(v3, v2) = v1) |  ~ (less_than(v3, v2) = v0))
% 13.44/3.63  | (47)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, v1, bad) = v2) |  ? [v3] : ( ~ (v3 = 0) & ok(v2) = v3))
% 13.44/3.63  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v3) |  ~ (pair_in_list(v1, v4, v5) = 0) |  ? [v6] : ((v6 = 0 & less_than(v5, v4) = 0) | ( ~ (v6 = 0) & check_cpq(v3) = v6)))
% 13.44/3.63  | (49)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (succ_cpq(v0, v0) = v1))
% 13.44/3.63  | (50)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (pair_in_list(v6, v2, v4) = 0) |  ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) | pair_in_list(v0, v2, v4) = 0)
% 13.44/3.63  | (51)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = bad |  ~ (triple(v0, v1, v2) = v3) | ok(v3) = 0)
% 13.44/3.63  | (52)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (contains_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] : ( ~ (v7 = 0) & contains_slb(v0, v2) = v7))
% 13.44/3.63  | (53)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (findmin_cpq_eff(v1) = v2) |  ~ (succ_cpq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & succ_cpq(v0, v1) = v4))
% 13.44/3.63  | (54)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_cpq(v3, v2) = v1) |  ~ (remove_cpq(v3, v2) = v0))
% 13.44/3.63  | (55) less_than(all_0_1_1, all_0_4_4) = all_0_0_0
% 13.44/3.63  | (56)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (pair_in_list(v6, v2, v4) = 0) |  ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) | pair_in_list(v0, v2, v4) = 0)
% 13.44/3.63  | (57)  ? [v0] :  ? [v1] :  ? [v2] : remove_pqp(v1, v0) = v2
% 13.44/3.63  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = v5 & remove_pqp(v0, v3) = v6 & triple(v6, v7, bad) = v5 & remove_slb(v1, v3) = v7) | ( ~ (v7 = 0) & lookup_slb(v1, v3) = v6 & strictly_less_than(v3, v6) = v7) | ( ~ (v6 = 0) & contains_slb(v1, v3) = v6)))
% 13.44/3.63  | (59)  ? [v0] :  ? [v1] : isnonempty_slb(v0) = v1
% 13.44/3.63  | (60)  ? [v0] :  ? [v1] : removemin_cpq_res(v0) = v1
% 13.44/3.63  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_pqp(v3, v2) = v1) |  ~ (insert_pqp(v3, v2) = v0))
% 13.44/3.63  | (62)  ? [v0] :  ? [v1] :  ? [v2] : pair(v1, v0) = v2
% 13.44/3.63  | (63)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (isnonempty_slb(v2) = v1) |  ~ (isnonempty_slb(v2) = v0))
% 13.44/3.63  | (64)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (insert_pqp(v0, v3) = v4) |  ~ (triple(v4, v6, v2) = v7) |  ~ (pair(v3, bottom) = v5) |  ~ (insert_slb(v1, v5) = v6) |  ? [v8] : (triple(v0, v1, v2) = v8 & insert_cpq(v8, v3) = v7))
% 13.44/3.63  | (65)  ? [v0] :  ? [v1] :  ? [v2] : insert_slb(v1, v0) = v2
% 13.44/3.63  | (66)  ! [v0] :  ! [v1] : (v1 = create_slb |  ~ (update_slb(create_slb, v0) = v1))
% 13.44/3.63  | (67)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | remove_slb(v4, v1) = v0)
% 13.44/3.63  | (68)  ? [v0] :  ? [v1] :  ? [v2] : insert_cpq(v1, v0) = v2
% 13.44/3.63  | (69)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (triple(v0, v6, v2) = v7) |  ~ (pair(v3, v4) = v5) |  ~ (insert_slb(v1, v5) = v6) |  ? [v8] :  ? [v9] :  ? [v10] : (( ~ (v8 = 0) & less_than(v4, v3) = v8) | (((v10 = 0 & triple(v0, v1, v2) = v9 & check_cpq(v9) = 0) | ( ~ (v8 = 0) & check_cpq(v7) = v8)) & ((v8 = 0 & check_cpq(v7) = 0) | ( ~ (v10 = 0) & triple(v0, v1, v2) = v9 & check_cpq(v9) = v10)))))
% 13.44/3.63  | (70)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (contains_slb(v3, v2) = v1) |  ~ (contains_slb(v3, v2) = v0))
% 13.44/3.63  | (71)  ? [v0] :  ? [v1] : findmin_cpq_res(v0) = v1
% 13.44/3.63  | (72)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_cpq_res(v2) = v1) |  ~ (findmin_cpq_res(v2) = v0))
% 13.44/3.63  | (73)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (lookup_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] : ((v7 = v6 & lookup_slb(v0, v2) = v6) | ( ~ (v7 = 0) & contains_slb(v0, v2) = v7)))
% 13.44/3.63  | (74)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (remove_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] :  ? [v8] : ((v8 = v6 & remove_slb(v0, v2) = v7 & insert_slb(v7, v4) = v6) | ( ~ (v7 = 0) & contains_slb(v0, v2) = v7)))
% 13.44/3.63  | (75)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (insert_cpq(v1, v2) = v3) |  ~ (succ_cpq(v0, v3) = v4) |  ? [v5] : ( ~ (v5 = 0) & succ_cpq(v0, v1) = v5))
% 13.44/3.63  | (76) isnonempty_slb(create_slb) = all_0_8_8
% 13.44/3.63  | (77) triple(all_0_7_7, all_0_6_6, all_0_5_5) = all_0_3_3
% 13.44/3.63  | (78) pair_in_list(all_0_6_6, all_0_4_4, all_0_1_1) = 0
% 13.44/3.63  | (79)  ? [v0] :  ? [v1] : check_cpq(v0) = v1
% 13.44/3.63  | (80)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (less_than(v0, v2) = v3) |  ~ (less_than(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & less_than(v1, v2) = v4))
% 13.44/3.63  | (81)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v6 = 0 |  ~ (triple(v0, v1, v2) = v3) |  ~ (less_than(v5, v4) = v6) |  ? [v7] : (( ~ (v7 = 0) & check_cpq(v3) = v7) | ( ~ (v7 = 0) & pair_in_list(v1, v4, v5) = v7)))
% 13.44/3.63  | (82)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_slb(v3, v2) = v1) |  ~ (remove_slb(v3, v2) = v0))
% 13.44/3.63  | (83)  ? [v0] :  ? [v1] :  ? [v2] : succ_cpq(v1, v0) = v2
% 13.44/3.63  | (84)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (less_than(v1, v2) = 0) |  ~ (less_than(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & less_than(v0, v1) = v4))
% 13.44/3.63  | (85) remove_cpq(all_0_3_3, all_0_4_4) = all_0_2_2
% 13.44/3.63  | (86)  ? [v0] :  ? [v1] :  ? [v2] : contains_cpq(v1, v0) = v2
% 13.44/3.63  | (87)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (less_than(v0, v1) = v2) |  ? [v3] : ((v2 = 0 &  ~ (v3 = 0) & less_than(v1, v0) = v3) | ( ~ (v3 = 0) & strictly_less_than(v0, v1) = v3)))
% 13.44/3.63  | (88)  ? [v0] :  ? [v1] :  ? [v2] : remove_slb(v1, v0) = v2
% 13.44/3.63  | (89)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (pair_in_list(v4, v3, v2) = v1) |  ~ (pair_in_list(v4, v3, v2) = v0))
% 13.44/3.63  | (90)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pair(v3, v2) = v1) |  ~ (pair(v3, v2) = v0))
% 13.44/3.63  | (91)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (contains_cpq(v3, v2) = v1) |  ~ (contains_cpq(v3, v2) = v0))
% 13.44/3.63  | (92) check_cpq(all_0_2_2) = 0
% 13.44/3.63  | (93)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less_than(v0, v1) = v2) | less_than(v1, v0) = 0)
% 13.44/3.63  | (94)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less_than(v1, v0) = v2) | less_than(v0, v1) = 0)
% 13.44/3.63  | (95)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | check_cpq(v2) = 0)
% 13.44/3.63  | (96)  ! [v0] :  ! [v1] : ( ~ (findmin_cpq_res(v0) = v1) |  ? [v2] :  ? [v3] : (removemin_cpq_eff(v0) = v2 & findmin_cpq_eff(v0) = v3 & remove_cpq(v3, v1) = v2))
% 13.44/3.63  | (97)  ? [v0] :  ? [v1] :  ? [v2] : contains_slb(v1, v0) = v2
% 13.44/3.64  | (98)  ! [v0] :  ~ (contains_slb(create_slb, v0) = 0)
% 13.44/3.64  | (99)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (ok(v2) = v1) |  ~ (ok(v2) = v0))
% 13.44/3.64  | (100)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (removemin_cpq_eff(v2) = v1) |  ~ (removemin_cpq_eff(v2) = v0))
% 13.44/3.64  | (101)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (lookup_slb(v3, v2) = v1) |  ~ (lookup_slb(v3, v2) = v0))
% 13.44/3.64  | (102)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (ok(v6) = 0) |  ~ (triple(v0, v1, v2) = v5) |  ~ (remove_cpq(v5, v3) = v6) |  ~ (remove_slb(v1, v3) = v7) |  ~ (pair_in_list(v7, v3, v4) = v8) |  ? [v9] : (( ~ (v9 = 0) & pair_in_list(v1, v3, v4) = v9) | ( ~ (v9 = 0) & strictly_less_than(v3, v4) = v9)))
% 13.44/3.64  | (103)  ? [v0] :  ? [v1] : ok(v0) = v1
% 13.44/3.64  | (104)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ok(v6) = 0) |  ~ (triple(v0, v1, v2) = v5) |  ~ (remove_cpq(v5, v3) = v6) |  ~ (pair_in_list(v1, v3, v4) = 0) |  ? [v7] :  ? [v8] : ((v8 = 0 & remove_slb(v1, v3) = v7 & pair_in_list(v7, v3, v4) = 0) | ( ~ (v7 = 0) & strictly_less_than(v3, v4) = v7)))
% 13.44/3.64  | (105)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v2 = v1 |  ~ (contains_slb(v5, v2) = 0) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) | contains_slb(v0, v2) = 0)
% 13.44/3.64  | (106)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (removemin_cpq_eff(v1) = v2) |  ~ (succ_cpq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & succ_cpq(v0, v1) = v4))
% 13.44/3.64  | (107)  ? [v0] :  ? [v1] :  ? [v2] : lookup_slb(v1, v0) = v2
% 13.44/3.64  | (108)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (triple(v0, v6, v2) = v7) |  ~ (pair(v3, v4) = v5) |  ~ (insert_slb(v1, v5) = v6) |  ? [v8] : (( ~ (v8 = 0) & check_cpq(v7) = v8) | ( ~ (v8 = 0) & strictly_less_than(v3, v4) = v8)))
% 13.44/3.64  | (109)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = create_slb |  ~ (findmin_pqp_res(v0) = v3) |  ~ (triple(v0, v4, v2) = v5) |  ~ (update_slb(v1, v3) = v4) |  ? [v6] :  ? [v7] : ((v7 = v5 & triple(v0, v1, v2) = v6 & findmin_cpq_eff(v6) = v5) | ( ~ (v7 = 0) & lookup_slb(v1, v3) = v6 & less_than(v6, v3) = v7) | ( ~ (v6 = 0) & contains_slb(v1, v3) = v6)))
% 13.44/3.64  | (110)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less_than(v1, v0) = v2) |  ? [v3] : ((v3 = 0 & strictly_less_than(v0, v1) = 0) | ( ~ (v3 = 0) & less_than(v0, v1) = v3)))
% 13.44/3.64  | (111)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (ok(v6) = 0) |  ~ (triple(v0, v1, v2) = v5) |  ~ (remove_cpq(v5, v3) = v6) |  ~ (strictly_less_than(v3, v4) = 0) |  ? [v7] :  ? [v8] : ((v8 = 0 & remove_slb(v1, v3) = v7 & pair_in_list(v7, v3, v4) = 0) | ( ~ (v7 = 0) & pair_in_list(v1, v3, v4) = v7)))
% 13.44/3.64  | (112)  ! [v0] :  ! [v1] : ( ~ (findmin_cpq_res(v0) = v1) | removemin_cpq_res(v0) = v1)
% 13.44/3.64  | (113)  ! [v0] :  ! [v1] : ( ~ (removemin_cpq_res(v0) = v1) | findmin_cpq_res(v0) = v1)
% 13.44/3.64  | (114)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (pair_in_list(v4, v1, v2) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4))
% 13.44/3.64  | (115)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (triple(v4, v3, v2) = v1) |  ~ (triple(v4, v3, v2) = v0))
% 13.44/3.64  | (116)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (removemin_cpq_res(v2) = v1) |  ~ (removemin_cpq_res(v2) = v0))
% 13.44/3.64  | (117)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : pair_in_list(v2, v1, v0) = v3
% 13.44/3.64  | (118)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (contains_cpq(v4, v3) = v5) |  ~ (triple(v0, v1, v2) = v4) |  ? [v6] : ( ~ (v6 = 0) & contains_slb(v1, v3) = v6))
% 13.44/3.64  | (119)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] :  ? [v8] : ((v8 = v6 & update_slb(v0, v2) = v7 & insert_slb(v7, v4) = v6) | ( ~ (v7 = 0) & less_than(v2, v3) = v7)))
% 13.44/3.64  | (120)  ! [v0] :  ! [v1] : ( ~ (succ_cpq(v0, v1) = 0) |  ? [v2] : (removemin_cpq_eff(v1) = v2 & succ_cpq(v0, v2) = 0))
% 13.44/3.64  | (121)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | isnonempty_slb(v4) = 0)
% 13.44/3.64  | (122)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ? [v6] : ((v6 = v5 & triple(v0, v1, bad) = v5) | (v6 = 0 & contains_slb(v1, v3) = 0)))
% 13.44/3.64  | (123)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | lookup_slb(v4, v1) = v2)
% 13.44/3.64  | (124)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_cpq_eff(v2) = v1) |  ~ (findmin_cpq_eff(v2) = v0))
% 13.44/3.64  | (125)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (remove_pqp(v0, v3) = v4) |  ~ (triple(v4, v5, v2) = v6) |  ~ (remove_slb(v1, v3) = v5) |  ? [v7] :  ? [v8] : ((v8 = v6 & triple(v0, v1, v2) = v7 & remove_cpq(v7, v3) = v6) | ( ~ (v8 = 0) & lookup_slb(v1, v3) = v7 & less_than(v7, v3) = v8) | ( ~ (v7 = 0) & contains_slb(v1, v3) = v7)))
% 13.44/3.64  | (126)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (less_than(bottom, v0) = v1))
% 13.44/3.64  | (127)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ~ (findmin_cpq_eff(v3) = v4) |  ? [v5] :  ? [v6] :  ? [v7] : (findmin_pqp_res(v0) = v5 & ((v7 = v4 & triple(v0, v6, v2) = v4 & update_slb(v1, v5) = v6) | ( ~ (v7 = 0) & lookup_slb(v1, v5) = v6 & less_than(v6, v5) = v7) | ( ~ (v6 = 0) & contains_slb(v1, v5) = v6))))
% 13.44/3.64  | (128)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (succ_cpq(v3, v2) = v1) |  ~ (succ_cpq(v3, v2) = v0))
% 13.44/3.64  |
% 13.44/3.64  | Instantiating formula (7) with all_0_3_3, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms triple(all_0_7_7, all_0_6_6, all_0_5_5) = all_0_3_3, yields:
% 13.44/3.64  | (129)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v2 = 0 &  ~ (v3 = 0) & pair_in_list(all_0_6_6, v0, v1) = 0 & less_than(v1, v0) = v3) | (v0 = 0 & check_cpq(all_0_3_3) = 0))
% 13.44/3.64  |
% 13.44/3.64  | Instantiating formula (6) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms triple(all_0_7_7, all_0_6_6, all_0_5_5) = all_0_3_3, remove_cpq(all_0_3_3, all_0_4_4) = all_0_2_2, yields:
% 13.44/3.64  | (130)  ? [v0] :  ? [v1] :  ? [v2] : ((v2 = all_0_2_2 & remove_pqp(all_0_7_7, all_0_4_4) = v0 & triple(v0, v1, all_0_5_5) = all_0_2_2 & remove_slb(all_0_6_6, all_0_4_4) = v1) | ( ~ (v1 = 0) & lookup_slb(all_0_6_6, all_0_4_4) = v0 & less_than(v0, all_0_4_4) = v1) | ( ~ (v0 = 0) & contains_slb(all_0_6_6, all_0_4_4) = v0))
% 13.44/3.64  |
% 13.44/3.64  | Instantiating formula (58) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms triple(all_0_7_7, all_0_6_6, all_0_5_5) = all_0_3_3, remove_cpq(all_0_3_3, all_0_4_4) = all_0_2_2, yields:
% 13.44/3.64  | (131)  ? [v0] :  ? [v1] :  ? [v2] : ((v2 = all_0_2_2 & remove_pqp(all_0_7_7, all_0_4_4) = v0 & triple(v0, v1, bad) = all_0_2_2 & remove_slb(all_0_6_6, all_0_4_4) = v1) | ( ~ (v1 = 0) & lookup_slb(all_0_6_6, all_0_4_4) = v0 & strictly_less_than(all_0_4_4, v0) = v1) | ( ~ (v0 = 0) & contains_slb(all_0_6_6, all_0_4_4) = v0))
% 13.44/3.64  |
% 13.44/3.64  | Instantiating formula (122) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms triple(all_0_7_7, all_0_6_6, all_0_5_5) = all_0_3_3, remove_cpq(all_0_3_3, all_0_4_4) = all_0_2_2, yields:
% 13.44/3.64  | (132)  ? [v0] : ((v0 = all_0_2_2 & triple(all_0_7_7, all_0_6_6, bad) = all_0_2_2) | (v0 = 0 & contains_slb(all_0_6_6, all_0_4_4) = 0))
% 13.44/3.64  |
% 13.44/3.64  | Instantiating formula (104) with all_0_2_2, all_0_3_3, all_0_1_1, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms ok(all_0_2_2) = 0, triple(all_0_7_7, all_0_6_6, all_0_5_5) = all_0_3_3, remove_cpq(all_0_3_3, all_0_4_4) = all_0_2_2, pair_in_list(all_0_6_6, all_0_4_4, all_0_1_1) = 0, yields:
% 13.44/3.64  | (133)  ? [v0] :  ? [v1] : ((v1 = 0 & remove_slb(all_0_6_6, all_0_4_4) = v0 & pair_in_list(v0, all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & strictly_less_than(all_0_4_4, all_0_1_1) = v0))
% 13.44/3.64  |
% 13.44/3.64  | Instantiating formula (48) with all_0_1_1, all_0_4_4, all_0_3_3, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms triple(all_0_7_7, all_0_6_6, all_0_5_5) = all_0_3_3, pair_in_list(all_0_6_6, all_0_4_4, all_0_1_1) = 0, yields:
% 13.44/3.64  | (134)  ? [v0] : ((v0 = 0 & less_than(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & check_cpq(all_0_3_3) = v0))
% 13.44/3.64  |
% 13.44/3.64  | Instantiating formula (81) with all_0_0_0, all_0_1_1, all_0_4_4, all_0_3_3, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms triple(all_0_7_7, all_0_6_6, all_0_5_5) = all_0_3_3, less_than(all_0_1_1, all_0_4_4) = all_0_0_0, yields:
% 13.44/3.64  | (135) all_0_0_0 = 0 |  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_3_3) = v0) | ( ~ (v0 = 0) & pair_in_list(all_0_6_6, all_0_4_4, all_0_1_1) = v0))
% 13.44/3.64  |
% 13.44/3.64  | Instantiating formula (94) with all_0_0_0, all_0_1_1, all_0_4_4 and discharging atoms less_than(all_0_1_1, all_0_4_4) = all_0_0_0, yields:
% 13.44/3.64  | (136) all_0_0_0 = 0 | less_than(all_0_4_4, all_0_1_1) = 0
% 13.44/3.64  |
% 13.44/3.64  | Instantiating formula (110) with all_0_0_0, all_0_1_1, all_0_4_4 and discharging atoms less_than(all_0_1_1, all_0_4_4) = all_0_0_0, yields:
% 13.44/3.64  | (137) all_0_0_0 = 0 |  ? [v0] : ((v0 = 0 & strictly_less_than(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & less_than(all_0_4_4, all_0_1_1) = v0))
% 13.44/3.64  |
% 13.44/3.64  | Instantiating formula (12) with all_0_0_0, all_0_1_1, all_0_4_4 and discharging atoms less_than(all_0_1_1, all_0_4_4) = all_0_0_0, yields:
% 13.44/3.64  | (138)  ? [v0] : ((v0 = 0 &  ~ (all_0_0_0 = 0) & less_than(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & strictly_less_than(all_0_4_4, all_0_1_1) = v0))
% 13.44/3.64  |
% 13.44/3.64  | Instantiating (138) with all_57_0_76 yields:
% 13.44/3.64  | (139) (all_57_0_76 = 0 &  ~ (all_0_0_0 = 0) & less_than(all_0_4_4, all_0_1_1) = 0) | ( ~ (all_57_0_76 = 0) & strictly_less_than(all_0_4_4, all_0_1_1) = all_57_0_76)
% 13.44/3.64  |
% 13.44/3.64  | Instantiating (134) with all_58_0_77 yields:
% 13.44/3.64  | (140) (all_58_0_77 = 0 & less_than(all_0_1_1, all_0_4_4) = 0) | ( ~ (all_58_0_77 = 0) & check_cpq(all_0_3_3) = all_58_0_77)
% 13.44/3.64  |
% 13.44/3.64  | Instantiating (131) with all_59_0_78, all_59_1_79, all_59_2_80 yields:
% 13.44/3.64  | (141) (all_59_0_78 = all_0_2_2 & remove_pqp(all_0_7_7, all_0_4_4) = all_59_2_80 & triple(all_59_2_80, all_59_1_79, bad) = all_0_2_2 & remove_slb(all_0_6_6, all_0_4_4) = all_59_1_79) | ( ~ (all_59_1_79 = 0) & lookup_slb(all_0_6_6, all_0_4_4) = all_59_2_80 & strictly_less_than(all_0_4_4, all_59_2_80) = all_59_1_79) | ( ~ (all_59_2_80 = 0) & contains_slb(all_0_6_6, all_0_4_4) = all_59_2_80)
% 13.44/3.65  |
% 13.44/3.65  | Instantiating (129) with all_60_0_81, all_60_1_82, all_60_2_83, all_60_3_84 yields:
% 13.44/3.65  | (142) (all_60_1_82 = 0 &  ~ (all_60_0_81 = 0) & pair_in_list(all_0_6_6, all_60_3_84, all_60_2_83) = 0 & less_than(all_60_2_83, all_60_3_84) = all_60_0_81) | (all_60_3_84 = 0 & check_cpq(all_0_3_3) = 0)
% 13.44/3.65  |
% 13.44/3.65  | Instantiating (130) with all_61_0_85, all_61_1_86, all_61_2_87 yields:
% 13.44/3.65  | (143) (all_61_0_85 = all_0_2_2 & remove_pqp(all_0_7_7, all_0_4_4) = all_61_2_87 & triple(all_61_2_87, all_61_1_86, all_0_5_5) = all_0_2_2 & remove_slb(all_0_6_6, all_0_4_4) = all_61_1_86) | ( ~ (all_61_1_86 = 0) & lookup_slb(all_0_6_6, all_0_4_4) = all_61_2_87 & less_than(all_61_2_87, all_0_4_4) = all_61_1_86) | ( ~ (all_61_2_87 = 0) & contains_slb(all_0_6_6, all_0_4_4) = all_61_2_87)
% 13.44/3.65  |
% 13.44/3.65  | Instantiating (133) with all_62_0_88, all_62_1_89 yields:
% 13.44/3.65  | (144) (all_62_0_88 = 0 & remove_slb(all_0_6_6, all_0_4_4) = all_62_1_89 & pair_in_list(all_62_1_89, all_0_4_4, all_0_1_1) = 0) | ( ~ (all_62_1_89 = 0) & strictly_less_than(all_0_4_4, all_0_1_1) = all_62_1_89)
% 13.44/3.65  |
% 13.44/3.65  | Instantiating (132) with all_63_0_90 yields:
% 13.44/3.65  | (145) (all_63_0_90 = all_0_2_2 & triple(all_0_7_7, all_0_6_6, bad) = all_0_2_2) | (all_63_0_90 = 0 & contains_slb(all_0_6_6, all_0_4_4) = 0)
% 13.44/3.65  |
% 13.44/3.65  +-Applying beta-rule and splitting (136), into two cases.
% 13.44/3.65  |-Branch one:
% 13.44/3.65  | (146) less_than(all_0_4_4, all_0_1_1) = 0
% 13.44/3.65  |
% 13.44/3.65  	+-Applying beta-rule and splitting (137), into two cases.
% 13.44/3.65  	|-Branch one:
% 13.44/3.65  	| (147) all_0_0_0 = 0
% 13.44/3.65  	|
% 13.44/3.65  		| Equations (147) can reduce 35 to:
% 13.44/3.65  		| (148) $false
% 13.44/3.65  		|
% 13.44/3.65  		|-The branch is then unsatisfiable
% 13.44/3.65  	|-Branch two:
% 13.44/3.65  	| (35)  ~ (all_0_0_0 = 0)
% 13.44/3.65  	| (150)  ? [v0] : ((v0 = 0 & strictly_less_than(all_0_4_4, all_0_1_1) = 0) | ( ~ (v0 = 0) & less_than(all_0_4_4, all_0_1_1) = v0))
% 13.44/3.65  	|
% 13.44/3.65  		| Instantiating (150) with all_70_0_91 yields:
% 13.44/3.65  		| (151) (all_70_0_91 = 0 & strictly_less_than(all_0_4_4, all_0_1_1) = 0) | ( ~ (all_70_0_91 = 0) & less_than(all_0_4_4, all_0_1_1) = all_70_0_91)
% 13.44/3.65  		|
% 13.44/3.65  		+-Applying beta-rule and splitting (151), into two cases.
% 13.44/3.65  		|-Branch one:
% 13.44/3.65  		| (152) all_70_0_91 = 0 & strictly_less_than(all_0_4_4, all_0_1_1) = 0
% 13.44/3.65  		|
% 13.44/3.65  			| Applying alpha-rule on (152) yields:
% 13.44/3.65  			| (153) all_70_0_91 = 0
% 13.44/3.65  			| (154) strictly_less_than(all_0_4_4, all_0_1_1) = 0
% 13.44/3.65  			|
% 13.44/3.65  			+-Applying beta-rule and splitting (144), into two cases.
% 13.44/3.65  			|-Branch one:
% 13.44/3.65  			| (155) all_62_0_88 = 0 & remove_slb(all_0_6_6, all_0_4_4) = all_62_1_89 & pair_in_list(all_62_1_89, all_0_4_4, all_0_1_1) = 0
% 13.44/3.65  			|
% 13.44/3.65  				| Applying alpha-rule on (155) yields:
% 13.44/3.65  				| (156) all_62_0_88 = 0
% 13.44/3.65  				| (157) remove_slb(all_0_6_6, all_0_4_4) = all_62_1_89
% 13.44/3.65  				| (158) pair_in_list(all_62_1_89, all_0_4_4, all_0_1_1) = 0
% 13.44/3.65  				|
% 13.44/3.65  				+-Applying beta-rule and splitting (139), into two cases.
% 13.44/3.65  				|-Branch one:
% 13.44/3.65  				| (159) all_57_0_76 = 0 &  ~ (all_0_0_0 = 0) & less_than(all_0_4_4, all_0_1_1) = 0
% 13.44/3.65  				|
% 13.44/3.65  					| Applying alpha-rule on (159) yields:
% 13.44/3.65  					| (160) all_57_0_76 = 0
% 13.44/3.65  					| (35)  ~ (all_0_0_0 = 0)
% 13.44/3.65  					| (146) less_than(all_0_4_4, all_0_1_1) = 0
% 13.44/3.65  					|
% 13.44/3.65  					+-Applying beta-rule and splitting (140), into two cases.
% 13.44/3.65  					|-Branch one:
% 13.44/3.65  					| (163) all_58_0_77 = 0 & less_than(all_0_1_1, all_0_4_4) = 0
% 13.44/3.65  					|
% 13.44/3.65  						| Applying alpha-rule on (163) yields:
% 13.44/3.65  						| (164) all_58_0_77 = 0
% 13.44/3.65  						| (165) less_than(all_0_1_1, all_0_4_4) = 0
% 13.44/3.65  						|
% 13.44/3.65  						+-Applying beta-rule and splitting (135), into two cases.
% 13.44/3.65  						|-Branch one:
% 13.44/3.65  						| (147) all_0_0_0 = 0
% 13.44/3.65  						|
% 13.44/3.65  							| Equations (147) can reduce 35 to:
% 13.44/3.65  							| (148) $false
% 13.44/3.65  							|
% 13.44/3.65  							|-The branch is then unsatisfiable
% 13.44/3.65  						|-Branch two:
% 13.44/3.65  						| (35)  ~ (all_0_0_0 = 0)
% 13.44/3.65  						| (169)  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_3_3) = v0) | ( ~ (v0 = 0) & pair_in_list(all_0_6_6, all_0_4_4, all_0_1_1) = v0))
% 13.44/3.65  						|
% 13.44/3.65  							| Instantiating formula (46) with all_0_1_1, all_0_4_4, 0, all_0_0_0 and discharging atoms less_than(all_0_1_1, all_0_4_4) = all_0_0_0, less_than(all_0_1_1, all_0_4_4) = 0, yields:
% 13.44/3.65  							| (147) all_0_0_0 = 0
% 13.44/3.65  							|
% 13.44/3.65  							| Equations (147) can reduce 35 to:
% 13.44/3.65  							| (148) $false
% 13.44/3.65  							|
% 13.44/3.65  							|-The branch is then unsatisfiable
% 13.44/3.65  					|-Branch two:
% 13.44/3.65  					| (172)  ~ (all_58_0_77 = 0) & check_cpq(all_0_3_3) = all_58_0_77
% 13.44/3.65  					|
% 13.44/3.65  						| Applying alpha-rule on (172) yields:
% 13.44/3.65  						| (173)  ~ (all_58_0_77 = 0)
% 13.44/3.65  						| (174) check_cpq(all_0_3_3) = all_58_0_77
% 13.44/3.65  						|
% 13.44/3.65  						+-Applying beta-rule and splitting (142), into two cases.
% 13.44/3.65  						|-Branch one:
% 13.44/3.65  						| (175) all_60_1_82 = 0 &  ~ (all_60_0_81 = 0) & pair_in_list(all_0_6_6, all_60_3_84, all_60_2_83) = 0 & less_than(all_60_2_83, all_60_3_84) = all_60_0_81
% 13.44/3.65  						|
% 13.44/3.65  							| Applying alpha-rule on (175) yields:
% 13.44/3.65  							| (176) all_60_1_82 = 0
% 13.44/3.65  							| (177)  ~ (all_60_0_81 = 0)
% 13.44/3.65  							| (178) pair_in_list(all_0_6_6, all_60_3_84, all_60_2_83) = 0
% 13.44/3.65  							| (179) less_than(all_60_2_83, all_60_3_84) = all_60_0_81
% 13.44/3.65  							|
% 13.44/3.65  							| Instantiating formula (94) with all_60_0_81, all_60_2_83, all_60_3_84 and discharging atoms less_than(all_60_2_83, all_60_3_84) = all_60_0_81, yields:
% 13.44/3.65  							| (180) all_60_0_81 = 0 | less_than(all_60_3_84, all_60_2_83) = 0
% 13.44/3.65  							|
% 13.44/3.65  							| Instantiating formula (110) with all_60_0_81, all_60_2_83, all_60_3_84 and discharging atoms less_than(all_60_2_83, all_60_3_84) = all_60_0_81, yields:
% 13.44/3.65  							| (181) all_60_0_81 = 0 |  ? [v0] : ((v0 = 0 & strictly_less_than(all_60_3_84, all_60_2_83) = 0) | ( ~ (v0 = 0) & less_than(all_60_3_84, all_60_2_83) = v0))
% 13.44/3.65  							|
% 13.44/3.65  							| Instantiating formula (12) with all_60_0_81, all_60_2_83, all_60_3_84 and discharging atoms less_than(all_60_2_83, all_60_3_84) = all_60_0_81, yields:
% 13.44/3.65  							| (182)  ? [v0] : ((v0 = 0 &  ~ (all_60_0_81 = 0) & less_than(all_60_3_84, all_60_2_83) = 0) | ( ~ (v0 = 0) & strictly_less_than(all_60_3_84, all_60_2_83) = v0))
% 13.44/3.65  							|
% 13.44/3.65  							| Instantiating (182) with all_101_0_94 yields:
% 13.44/3.65  							| (183) (all_101_0_94 = 0 &  ~ (all_60_0_81 = 0) & less_than(all_60_3_84, all_60_2_83) = 0) | ( ~ (all_101_0_94 = 0) & strictly_less_than(all_60_3_84, all_60_2_83) = all_101_0_94)
% 13.44/3.65  							|
% 13.44/3.65  							+-Applying beta-rule and splitting (180), into two cases.
% 13.44/3.65  							|-Branch one:
% 13.44/3.65  							| (184) less_than(all_60_3_84, all_60_2_83) = 0
% 13.44/3.65  							|
% 13.44/3.65  								+-Applying beta-rule and splitting (181), into two cases.
% 13.44/3.65  								|-Branch one:
% 13.44/3.65  								| (185) all_60_0_81 = 0
% 13.44/3.65  								|
% 13.44/3.65  									| Equations (185) can reduce 177 to:
% 13.44/3.65  									| (148) $false
% 13.44/3.65  									|
% 13.44/3.65  									|-The branch is then unsatisfiable
% 13.44/3.65  								|-Branch two:
% 13.44/3.65  								| (177)  ~ (all_60_0_81 = 0)
% 13.44/3.65  								| (188)  ? [v0] : ((v0 = 0 & strictly_less_than(all_60_3_84, all_60_2_83) = 0) | ( ~ (v0 = 0) & less_than(all_60_3_84, all_60_2_83) = v0))
% 13.44/3.65  								|
% 13.44/3.65  									| Instantiating (188) with all_116_0_95 yields:
% 13.44/3.65  									| (189) (all_116_0_95 = 0 & strictly_less_than(all_60_3_84, all_60_2_83) = 0) | ( ~ (all_116_0_95 = 0) & less_than(all_60_3_84, all_60_2_83) = all_116_0_95)
% 13.44/3.65  									|
% 13.44/3.65  									+-Applying beta-rule and splitting (189), into two cases.
% 13.44/3.65  									|-Branch one:
% 13.44/3.65  									| (190) all_116_0_95 = 0 & strictly_less_than(all_60_3_84, all_60_2_83) = 0
% 13.44/3.65  									|
% 13.44/3.65  										| Applying alpha-rule on (190) yields:
% 13.44/3.65  										| (191) all_116_0_95 = 0
% 13.44/3.65  										| (192) strictly_less_than(all_60_3_84, all_60_2_83) = 0
% 13.44/3.65  										|
% 13.44/3.65  										+-Applying beta-rule and splitting (183), into two cases.
% 13.44/3.65  										|-Branch one:
% 13.44/3.65  										| (193) all_101_0_94 = 0 &  ~ (all_60_0_81 = 0) & less_than(all_60_3_84, all_60_2_83) = 0
% 13.44/3.65  										|
% 13.44/3.65  											| Applying alpha-rule on (193) yields:
% 13.44/3.65  											| (194) all_101_0_94 = 0
% 13.44/3.65  											| (177)  ~ (all_60_0_81 = 0)
% 13.44/3.65  											| (184) less_than(all_60_3_84, all_60_2_83) = 0
% 13.44/3.65  											|
% 13.44/3.65  											+-Applying beta-rule and splitting (145), into two cases.
% 13.44/3.65  											|-Branch one:
% 13.44/3.65  											| (197) all_63_0_90 = all_0_2_2 & triple(all_0_7_7, all_0_6_6, bad) = all_0_2_2
% 13.44/3.65  											|
% 13.44/3.65  												| Applying alpha-rule on (197) yields:
% 13.44/3.65  												| (198) all_63_0_90 = all_0_2_2
% 13.44/3.65  												| (199) triple(all_0_7_7, all_0_6_6, bad) = all_0_2_2
% 13.44/3.65  												|
% 13.44/3.65  												| Instantiating formula (81) with all_0_0_0, all_0_1_1, all_0_4_4, all_0_2_2, bad, all_0_6_6, all_0_7_7 and discharging atoms triple(all_0_7_7, all_0_6_6, bad) = all_0_2_2, less_than(all_0_1_1, all_0_4_4) = all_0_0_0, yields:
% 13.44/3.65  												| (200) all_0_0_0 = 0 |  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0) | ( ~ (v0 = 0) & pair_in_list(all_0_6_6, all_0_4_4, all_0_1_1) = v0))
% 13.44/3.65  												|
% 13.44/3.65  												| Instantiating formula (48) with all_60_2_83, all_60_3_84, all_0_2_2, bad, all_0_6_6, all_0_7_7 and discharging atoms triple(all_0_7_7, all_0_6_6, bad) = all_0_2_2, pair_in_list(all_0_6_6, all_60_3_84, all_60_2_83) = 0, yields:
% 13.44/3.65  												| (201)  ? [v0] : ((v0 = 0 & less_than(all_60_2_83, all_60_3_84) = 0) | ( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0))
% 13.44/3.65  												|
% 13.44/3.65  												| Instantiating formula (48) with all_0_1_1, all_0_4_4, all_0_2_2, bad, all_0_6_6, all_0_7_7 and discharging atoms triple(all_0_7_7, all_0_6_6, bad) = all_0_2_2, pair_in_list(all_0_6_6, all_0_4_4, all_0_1_1) = 0, yields:
% 13.44/3.65  												| (202)  ? [v0] : ((v0 = 0 & less_than(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0))
% 13.44/3.65  												|
% 13.44/3.65  												| Instantiating (202) with all_147_0_102 yields:
% 13.44/3.65  												| (203) (all_147_0_102 = 0 & less_than(all_0_1_1, all_0_4_4) = 0) | ( ~ (all_147_0_102 = 0) & check_cpq(all_0_2_2) = all_147_0_102)
% 13.44/3.65  												|
% 13.44/3.65  												| Instantiating (201) with all_148_0_103 yields:
% 13.44/3.65  												| (204) (all_148_0_103 = 0 & less_than(all_60_2_83, all_60_3_84) = 0) | ( ~ (all_148_0_103 = 0) & check_cpq(all_0_2_2) = all_148_0_103)
% 13.44/3.65  												|
% 13.44/3.65  												+-Applying beta-rule and splitting (200), into two cases.
% 13.44/3.65  												|-Branch one:
% 13.44/3.65  												| (147) all_0_0_0 = 0
% 13.44/3.65  												|
% 13.44/3.65  													| Equations (147) can reduce 35 to:
% 13.44/3.65  													| (148) $false
% 13.44/3.65  													|
% 13.44/3.65  													|-The branch is then unsatisfiable
% 13.44/3.65  												|-Branch two:
% 13.44/3.65  												| (35)  ~ (all_0_0_0 = 0)
% 13.44/3.65  												| (208)  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0) | ( ~ (v0 = 0) & pair_in_list(all_0_6_6, all_0_4_4, all_0_1_1) = v0))
% 13.44/3.65  												|
% 13.44/3.65  													+-Applying beta-rule and splitting (204), into two cases.
% 13.44/3.65  													|-Branch one:
% 13.44/3.65  													| (209) all_148_0_103 = 0 & less_than(all_60_2_83, all_60_3_84) = 0
% 13.44/3.65  													|
% 13.44/3.65  														| Applying alpha-rule on (209) yields:
% 13.44/3.65  														| (210) all_148_0_103 = 0
% 13.44/3.65  														| (211) less_than(all_60_2_83, all_60_3_84) = 0
% 13.44/3.65  														|
% 13.44/3.65  														| Instantiating formula (46) with all_60_2_83, all_60_3_84, 0, all_60_0_81 and discharging atoms less_than(all_60_2_83, all_60_3_84) = all_60_0_81, less_than(all_60_2_83, all_60_3_84) = 0, yields:
% 13.44/3.65  														| (185) all_60_0_81 = 0
% 13.44/3.65  														|
% 13.44/3.65  														| Equations (185) can reduce 177 to:
% 13.44/3.65  														| (148) $false
% 13.44/3.65  														|
% 13.44/3.65  														|-The branch is then unsatisfiable
% 13.44/3.65  													|-Branch two:
% 13.44/3.65  													| (214)  ~ (all_148_0_103 = 0) & check_cpq(all_0_2_2) = all_148_0_103
% 13.44/3.65  													|
% 13.44/3.65  														| Applying alpha-rule on (214) yields:
% 13.44/3.65  														| (215)  ~ (all_148_0_103 = 0)
% 13.44/3.65  														| (216) check_cpq(all_0_2_2) = all_148_0_103
% 13.44/3.65  														|
% 13.44/3.65  														+-Applying beta-rule and splitting (203), into two cases.
% 13.44/3.65  														|-Branch one:
% 13.44/3.65  														| (217) all_147_0_102 = 0 & less_than(all_0_1_1, all_0_4_4) = 0
% 13.44/3.65  														|
% 13.44/3.65  															| Applying alpha-rule on (217) yields:
% 13.44/3.65  															| (218) all_147_0_102 = 0
% 13.44/3.65  															| (165) less_than(all_0_1_1, all_0_4_4) = 0
% 13.44/3.65  															|
% 13.44/3.66  															| Instantiating formula (46) with all_0_1_1, all_0_4_4, 0, all_0_0_0 and discharging atoms less_than(all_0_1_1, all_0_4_4) = all_0_0_0, less_than(all_0_1_1, all_0_4_4) = 0, yields:
% 13.44/3.66  															| (147) all_0_0_0 = 0
% 13.44/3.66  															|
% 13.44/3.66  															| Equations (147) can reduce 35 to:
% 13.44/3.66  															| (148) $false
% 13.44/3.66  															|
% 13.44/3.66  															|-The branch is then unsatisfiable
% 13.44/3.66  														|-Branch two:
% 13.44/3.66  														| (222)  ~ (all_147_0_102 = 0) & check_cpq(all_0_2_2) = all_147_0_102
% 13.44/3.66  														|
% 13.44/3.66  															| Applying alpha-rule on (222) yields:
% 13.44/3.66  															| (223)  ~ (all_147_0_102 = 0)
% 13.44/3.66  															| (224) check_cpq(all_0_2_2) = all_147_0_102
% 13.44/3.66  															|
% 13.44/3.66  															| Instantiating formula (3) with all_0_2_2, all_148_0_103, 0 and discharging atoms check_cpq(all_0_2_2) = all_148_0_103, check_cpq(all_0_2_2) = 0, yields:
% 13.44/3.66  															| (210) all_148_0_103 = 0
% 13.44/3.66  															|
% 13.44/3.66  															| Instantiating formula (3) with all_0_2_2, all_147_0_102, all_148_0_103 and discharging atoms check_cpq(all_0_2_2) = all_148_0_103, check_cpq(all_0_2_2) = all_147_0_102, yields:
% 13.44/3.66  															| (226) all_148_0_103 = all_147_0_102
% 13.44/3.66  															|
% 13.44/3.66  															| Combining equations (226,210) yields a new equation:
% 13.44/3.66  															| (227) all_147_0_102 = 0
% 13.44/3.66  															|
% 13.44/3.66  															| Simplifying 227 yields:
% 13.44/3.66  															| (218) all_147_0_102 = 0
% 13.44/3.66  															|
% 13.44/3.66  															| Equations (218) can reduce 223 to:
% 13.44/3.66  															| (148) $false
% 13.44/3.66  															|
% 13.44/3.66  															|-The branch is then unsatisfiable
% 13.44/3.66  											|-Branch two:
% 13.44/3.66  											| (230) all_63_0_90 = 0 & contains_slb(all_0_6_6, all_0_4_4) = 0
% 13.44/3.66  											|
% 13.44/3.66  												| Applying alpha-rule on (230) yields:
% 13.44/3.66  												| (231) all_63_0_90 = 0
% 13.44/3.66  												| (232) contains_slb(all_0_6_6, all_0_4_4) = 0
% 13.44/3.66  												|
% 13.44/3.66  												+-Applying beta-rule and splitting (141), into two cases.
% 13.44/3.66  												|-Branch one:
% 13.44/3.66  												| (233) (all_59_0_78 = all_0_2_2 & remove_pqp(all_0_7_7, all_0_4_4) = all_59_2_80 & triple(all_59_2_80, all_59_1_79, bad) = all_0_2_2 & remove_slb(all_0_6_6, all_0_4_4) = all_59_1_79) | ( ~ (all_59_1_79 = 0) & lookup_slb(all_0_6_6, all_0_4_4) = all_59_2_80 & strictly_less_than(all_0_4_4, all_59_2_80) = all_59_1_79)
% 13.44/3.66  												|
% 13.44/3.66  													+-Applying beta-rule and splitting (233), into two cases.
% 13.44/3.66  													|-Branch one:
% 13.44/3.66  													| (234) all_59_0_78 = all_0_2_2 & remove_pqp(all_0_7_7, all_0_4_4) = all_59_2_80 & triple(all_59_2_80, all_59_1_79, bad) = all_0_2_2 & remove_slb(all_0_6_6, all_0_4_4) = all_59_1_79
% 13.44/3.66  													|
% 13.44/3.66  														| Applying alpha-rule on (234) yields:
% 13.44/3.66  														| (235) all_59_0_78 = all_0_2_2
% 13.44/3.66  														| (236) remove_pqp(all_0_7_7, all_0_4_4) = all_59_2_80
% 13.44/3.66  														| (237) triple(all_59_2_80, all_59_1_79, bad) = all_0_2_2
% 13.44/3.66  														| (238) remove_slb(all_0_6_6, all_0_4_4) = all_59_1_79
% 13.44/3.66  														|
% 13.44/3.66  														| Instantiating formula (82) with all_0_6_6, all_0_4_4, all_59_1_79, all_62_1_89 and discharging atoms remove_slb(all_0_6_6, all_0_4_4) = all_62_1_89, remove_slb(all_0_6_6, all_0_4_4) = all_59_1_79, yields:
% 13.44/3.66  														| (239) all_62_1_89 = all_59_1_79
% 13.44/3.66  														|
% 13.44/3.66  														| From (239) and (158) follows:
% 13.44/3.66  														| (240) pair_in_list(all_59_1_79, all_0_4_4, all_0_1_1) = 0
% 13.44/3.66  														|
% 13.44/3.66  														| Instantiating formula (81) with all_0_0_0, all_0_1_1, all_0_4_4, all_0_2_2, bad, all_59_1_79, all_59_2_80 and discharging atoms triple(all_59_2_80, all_59_1_79, bad) = all_0_2_2, less_than(all_0_1_1, all_0_4_4) = all_0_0_0, yields:
% 13.44/3.66  														| (241) all_0_0_0 = 0 |  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0) | ( ~ (v0 = 0) & pair_in_list(all_59_1_79, all_0_4_4, all_0_1_1) = v0))
% 13.44/3.66  														|
% 13.44/3.66  														| Instantiating formula (48) with all_0_1_1, all_0_4_4, all_0_2_2, bad, all_59_1_79, all_59_2_80 and discharging atoms triple(all_59_2_80, all_59_1_79, bad) = all_0_2_2, pair_in_list(all_59_1_79, all_0_4_4, all_0_1_1) = 0, yields:
% 13.44/3.66  														| (202)  ? [v0] : ((v0 = 0 & less_than(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0))
% 13.44/3.66  														|
% 13.44/3.66  														| Instantiating (202) with all_157_0_107 yields:
% 13.44/3.66  														| (243) (all_157_0_107 = 0 & less_than(all_0_1_1, all_0_4_4) = 0) | ( ~ (all_157_0_107 = 0) & check_cpq(all_0_2_2) = all_157_0_107)
% 13.44/3.66  														|
% 13.44/3.66  														+-Applying beta-rule and splitting (243), into two cases.
% 13.44/3.66  														|-Branch one:
% 13.44/3.66  														| (244) all_157_0_107 = 0 & less_than(all_0_1_1, all_0_4_4) = 0
% 13.44/3.66  														|
% 13.44/3.66  															| Applying alpha-rule on (244) yields:
% 13.44/3.66  															| (245) all_157_0_107 = 0
% 13.44/3.66  															| (165) less_than(all_0_1_1, all_0_4_4) = 0
% 13.44/3.66  															|
% 13.44/3.66  															+-Applying beta-rule and splitting (241), into two cases.
% 13.44/3.66  															|-Branch one:
% 13.44/3.66  															| (147) all_0_0_0 = 0
% 13.44/3.66  															|
% 13.44/3.66  																| Equations (147) can reduce 35 to:
% 13.44/3.66  																| (148) $false
% 13.44/3.66  																|
% 13.44/3.66  																|-The branch is then unsatisfiable
% 13.44/3.66  															|-Branch two:
% 13.44/3.66  															| (35)  ~ (all_0_0_0 = 0)
% 13.44/3.66  															| (250)  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0) | ( ~ (v0 = 0) & pair_in_list(all_59_1_79, all_0_4_4, all_0_1_1) = v0))
% 13.44/3.66  															|
% 13.44/3.66  																| Instantiating formula (46) with all_0_1_1, all_0_4_4, 0, all_0_0_0 and discharging atoms less_than(all_0_1_1, all_0_4_4) = all_0_0_0, less_than(all_0_1_1, all_0_4_4) = 0, yields:
% 13.44/3.66  																| (147) all_0_0_0 = 0
% 13.44/3.66  																|
% 13.44/3.66  																| Equations (147) can reduce 35 to:
% 13.44/3.66  																| (148) $false
% 13.44/3.66  																|
% 13.44/3.66  																|-The branch is then unsatisfiable
% 13.44/3.66  														|-Branch two:
% 13.44/3.66  														| (253)  ~ (all_157_0_107 = 0) & check_cpq(all_0_2_2) = all_157_0_107
% 13.44/3.66  														|
% 13.44/3.66  															| Applying alpha-rule on (253) yields:
% 13.44/3.66  															| (254)  ~ (all_157_0_107 = 0)
% 13.44/3.66  															| (255) check_cpq(all_0_2_2) = all_157_0_107
% 13.44/3.66  															|
% 13.44/3.66  															| Instantiating formula (3) with all_0_2_2, all_157_0_107, 0 and discharging atoms check_cpq(all_0_2_2) = all_157_0_107, check_cpq(all_0_2_2) = 0, yields:
% 13.44/3.66  															| (245) all_157_0_107 = 0
% 13.44/3.66  															|
% 13.44/3.66  															| Equations (245) can reduce 254 to:
% 13.44/3.66  															| (148) $false
% 13.44/3.66  															|
% 13.44/3.66  															|-The branch is then unsatisfiable
% 13.44/3.66  													|-Branch two:
% 13.44/3.66  													| (258)  ~ (all_59_1_79 = 0) & lookup_slb(all_0_6_6, all_0_4_4) = all_59_2_80 & strictly_less_than(all_0_4_4, all_59_2_80) = all_59_1_79
% 13.44/3.66  													|
% 13.44/3.66  														| Applying alpha-rule on (258) yields:
% 13.44/3.66  														| (259)  ~ (all_59_1_79 = 0)
% 13.44/3.66  														| (260) lookup_slb(all_0_6_6, all_0_4_4) = all_59_2_80
% 13.44/3.66  														| (261) strictly_less_than(all_0_4_4, all_59_2_80) = all_59_1_79
% 13.44/3.66  														|
% 13.44/3.66  														| Instantiating formula (11) with all_59_1_79, all_59_2_80, all_0_4_4 and discharging atoms strictly_less_than(all_0_4_4, all_59_2_80) = all_59_1_79, yields:
% 13.44/3.66  														| (262) all_59_1_79 = 0 |  ? [v0] : ((v0 = 0 & less_than(all_59_2_80, all_0_4_4) = 0) | ( ~ (v0 = 0) & less_than(all_0_4_4, all_59_2_80) = v0))
% 13.44/3.66  														|
% 13.44/3.66  														+-Applying beta-rule and splitting (143), into two cases.
% 13.44/3.66  														|-Branch one:
% 13.44/3.66  														| (263) (all_61_0_85 = all_0_2_2 & remove_pqp(all_0_7_7, all_0_4_4) = all_61_2_87 & triple(all_61_2_87, all_61_1_86, all_0_5_5) = all_0_2_2 & remove_slb(all_0_6_6, all_0_4_4) = all_61_1_86) | ( ~ (all_61_1_86 = 0) & lookup_slb(all_0_6_6, all_0_4_4) = all_61_2_87 & less_than(all_61_2_87, all_0_4_4) = all_61_1_86)
% 13.44/3.66  														|
% 13.44/3.66  															+-Applying beta-rule and splitting (263), into two cases.
% 13.44/3.66  															|-Branch one:
% 13.44/3.66  															| (264) all_61_0_85 = all_0_2_2 & remove_pqp(all_0_7_7, all_0_4_4) = all_61_2_87 & triple(all_61_2_87, all_61_1_86, all_0_5_5) = all_0_2_2 & remove_slb(all_0_6_6, all_0_4_4) = all_61_1_86
% 13.44/3.66  															|
% 13.44/3.66  																| Applying alpha-rule on (264) yields:
% 13.44/3.66  																| (265) all_61_0_85 = all_0_2_2
% 13.44/3.66  																| (266) remove_pqp(all_0_7_7, all_0_4_4) = all_61_2_87
% 13.44/3.66  																| (267) triple(all_61_2_87, all_61_1_86, all_0_5_5) = all_0_2_2
% 13.44/3.66  																| (268) remove_slb(all_0_6_6, all_0_4_4) = all_61_1_86
% 13.44/3.66  																|
% 13.44/3.66  																| Instantiating formula (82) with all_0_6_6, all_0_4_4, all_61_1_86, all_62_1_89 and discharging atoms remove_slb(all_0_6_6, all_0_4_4) = all_62_1_89, remove_slb(all_0_6_6, all_0_4_4) = all_61_1_86, yields:
% 13.44/3.66  																| (269) all_62_1_89 = all_61_1_86
% 13.44/3.66  																|
% 13.44/3.66  																| From (269) and (158) follows:
% 13.44/3.66  																| (270) pair_in_list(all_61_1_86, all_0_4_4, all_0_1_1) = 0
% 13.44/3.66  																|
% 13.44/3.66  																| Instantiating formula (81) with all_0_0_0, all_0_1_1, all_0_4_4, all_0_2_2, all_0_5_5, all_61_1_86, all_61_2_87 and discharging atoms triple(all_61_2_87, all_61_1_86, all_0_5_5) = all_0_2_2, less_than(all_0_1_1, all_0_4_4) = all_0_0_0, yields:
% 13.44/3.66  																| (271) all_0_0_0 = 0 |  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0) | ( ~ (v0 = 0) & pair_in_list(all_61_1_86, all_0_4_4, all_0_1_1) = v0))
% 13.44/3.66  																|
% 13.44/3.66  																| Instantiating formula (48) with all_0_1_1, all_0_4_4, all_0_2_2, all_0_5_5, all_61_1_86, all_61_2_87 and discharging atoms triple(all_61_2_87, all_61_1_86, all_0_5_5) = all_0_2_2, pair_in_list(all_61_1_86, all_0_4_4, all_0_1_1) = 0, yields:
% 13.44/3.66  																| (202)  ? [v0] : ((v0 = 0 & less_than(all_0_1_1, all_0_4_4) = 0) | ( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0))
% 13.44/3.66  																|
% 13.44/3.66  																| Instantiating (202) with all_169_0_119 yields:
% 13.44/3.66  																| (273) (all_169_0_119 = 0 & less_than(all_0_1_1, all_0_4_4) = 0) | ( ~ (all_169_0_119 = 0) & check_cpq(all_0_2_2) = all_169_0_119)
% 13.44/3.66  																|
% 13.44/3.66  																+-Applying beta-rule and splitting (273), into two cases.
% 13.44/3.66  																|-Branch one:
% 13.44/3.66  																| (274) all_169_0_119 = 0 & less_than(all_0_1_1, all_0_4_4) = 0
% 13.44/3.66  																|
% 13.44/3.66  																	| Applying alpha-rule on (274) yields:
% 13.44/3.66  																	| (275) all_169_0_119 = 0
% 13.44/3.66  																	| (165) less_than(all_0_1_1, all_0_4_4) = 0
% 13.44/3.66  																	|
% 13.44/3.66  																	+-Applying beta-rule and splitting (271), into two cases.
% 13.44/3.66  																	|-Branch one:
% 13.44/3.66  																	| (147) all_0_0_0 = 0
% 13.44/3.66  																	|
% 13.44/3.66  																		| Equations (147) can reduce 35 to:
% 13.44/3.66  																		| (148) $false
% 13.44/3.66  																		|
% 13.44/3.66  																		|-The branch is then unsatisfiable
% 13.44/3.66  																	|-Branch two:
% 13.44/3.66  																	| (35)  ~ (all_0_0_0 = 0)
% 13.44/3.66  																	| (280)  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0) | ( ~ (v0 = 0) & pair_in_list(all_61_1_86, all_0_4_4, all_0_1_1) = v0))
% 13.44/3.66  																	|
% 13.44/3.66  																		| Instantiating formula (46) with all_0_1_1, all_0_4_4, 0, all_0_0_0 and discharging atoms less_than(all_0_1_1, all_0_4_4) = all_0_0_0, less_than(all_0_1_1, all_0_4_4) = 0, yields:
% 13.44/3.66  																		| (147) all_0_0_0 = 0
% 13.44/3.66  																		|
% 13.44/3.66  																		| Equations (147) can reduce 35 to:
% 13.44/3.66  																		| (148) $false
% 13.44/3.66  																		|
% 13.44/3.66  																		|-The branch is then unsatisfiable
% 13.44/3.66  																|-Branch two:
% 13.44/3.66  																| (283)  ~ (all_169_0_119 = 0) & check_cpq(all_0_2_2) = all_169_0_119
% 13.44/3.66  																|
% 13.44/3.66  																	| Applying alpha-rule on (283) yields:
% 13.44/3.66  																	| (284)  ~ (all_169_0_119 = 0)
% 13.44/3.66  																	| (285) check_cpq(all_0_2_2) = all_169_0_119
% 13.44/3.66  																	|
% 13.44/3.66  																	| Instantiating formula (3) with all_0_2_2, all_169_0_119, 0 and discharging atoms check_cpq(all_0_2_2) = all_169_0_119, check_cpq(all_0_2_2) = 0, yields:
% 13.44/3.66  																	| (275) all_169_0_119 = 0
% 13.44/3.66  																	|
% 13.44/3.66  																	| Equations (275) can reduce 284 to:
% 13.44/3.66  																	| (148) $false
% 13.44/3.66  																	|
% 13.44/3.66  																	|-The branch is then unsatisfiable
% 13.44/3.66  															|-Branch two:
% 13.44/3.66  															| (288)  ~ (all_61_1_86 = 0) & lookup_slb(all_0_6_6, all_0_4_4) = all_61_2_87 & less_than(all_61_2_87, all_0_4_4) = all_61_1_86
% 13.44/3.66  															|
% 13.44/3.66  																| Applying alpha-rule on (288) yields:
% 13.44/3.66  																| (289)  ~ (all_61_1_86 = 0)
% 13.44/3.66  																| (290) lookup_slb(all_0_6_6, all_0_4_4) = all_61_2_87
% 13.44/3.66  																| (291) less_than(all_61_2_87, all_0_4_4) = all_61_1_86
% 13.44/3.66  																|
% 13.44/3.66  																+-Applying beta-rule and splitting (262), into two cases.
% 13.44/3.66  																|-Branch one:
% 13.44/3.66  																| (292) all_59_1_79 = 0
% 13.44/3.66  																|
% 13.44/3.66  																	| Equations (292) can reduce 259 to:
% 13.44/3.66  																	| (148) $false
% 13.44/3.66  																	|
% 13.44/3.66  																	|-The branch is then unsatisfiable
% 13.44/3.66  																|-Branch two:
% 13.44/3.66  																| (259)  ~ (all_59_1_79 = 0)
% 13.44/3.67  																| (295)  ? [v0] : ((v0 = 0 & less_than(all_59_2_80, all_0_4_4) = 0) | ( ~ (v0 = 0) & less_than(all_0_4_4, all_59_2_80) = v0))
% 13.44/3.67  																|
% 13.44/3.67  																	| Instantiating (295) with all_159_0_129 yields:
% 13.44/3.67  																	| (296) (all_159_0_129 = 0 & less_than(all_59_2_80, all_0_4_4) = 0) | ( ~ (all_159_0_129 = 0) & less_than(all_0_4_4, all_59_2_80) = all_159_0_129)
% 13.44/3.67  																	|
% 13.44/3.67  																	| Instantiating formula (101) with all_0_6_6, all_0_4_4, all_61_2_87, all_59_2_80 and discharging atoms lookup_slb(all_0_6_6, all_0_4_4) = all_61_2_87, lookup_slb(all_0_6_6, all_0_4_4) = all_59_2_80, yields:
% 13.44/3.67  																	| (297) all_61_2_87 = all_59_2_80
% 13.44/3.67  																	|
% 13.44/3.67  																	| From (297) and (291) follows:
% 13.44/3.67  																	| (298) less_than(all_59_2_80, all_0_4_4) = all_61_1_86
% 13.44/3.67  																	|
% 13.44/3.67  																	+-Applying beta-rule and splitting (296), into two cases.
% 13.44/3.67  																	|-Branch one:
% 13.44/3.67  																	| (299) all_159_0_129 = 0 & less_than(all_59_2_80, all_0_4_4) = 0
% 13.44/3.67  																	|
% 13.44/3.67  																		| Applying alpha-rule on (299) yields:
% 13.44/3.67  																		| (300) all_159_0_129 = 0
% 13.44/3.67  																		| (301) less_than(all_59_2_80, all_0_4_4) = 0
% 13.44/3.67  																		|
% 13.44/3.67  																		| Instantiating formula (46) with all_59_2_80, all_0_4_4, 0, all_61_1_86 and discharging atoms less_than(all_59_2_80, all_0_4_4) = all_61_1_86, less_than(all_59_2_80, all_0_4_4) = 0, yields:
% 13.44/3.67  																		| (302) all_61_1_86 = 0
% 13.44/3.67  																		|
% 13.44/3.67  																		| Equations (302) can reduce 289 to:
% 13.44/3.67  																		| (148) $false
% 13.44/3.67  																		|
% 13.44/3.67  																		|-The branch is then unsatisfiable
% 13.44/3.67  																	|-Branch two:
% 13.44/3.67  																	| (304)  ~ (all_159_0_129 = 0) & less_than(all_0_4_4, all_59_2_80) = all_159_0_129
% 13.44/3.67  																	|
% 13.44/3.67  																		| Applying alpha-rule on (304) yields:
% 13.44/3.67  																		| (305)  ~ (all_159_0_129 = 0)
% 13.44/3.67  																		| (306) less_than(all_0_4_4, all_59_2_80) = all_159_0_129
% 13.44/3.67  																		|
% 13.44/3.67  																		| Instantiating formula (81) with all_61_1_86, all_59_2_80, all_0_4_4, all_0_3_3, all_0_5_5, all_0_6_6, all_0_7_7 and discharging atoms triple(all_0_7_7, all_0_6_6, all_0_5_5) = all_0_3_3, less_than(all_59_2_80, all_0_4_4) = all_61_1_86, yields:
% 13.44/3.67  																		| (307) all_61_1_86 = 0 |  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_3_3) = v0) | ( ~ (v0 = 0) & pair_in_list(all_0_6_6, all_0_4_4, all_59_2_80) = v0))
% 13.44/3.67  																		|
% 13.44/3.67  																		| Instantiating formula (94) with all_159_0_129, all_0_4_4, all_59_2_80 and discharging atoms less_than(all_0_4_4, all_59_2_80) = all_159_0_129, yields:
% 13.44/3.67  																		| (308) all_159_0_129 = 0 | less_than(all_59_2_80, all_0_4_4) = 0
% 13.44/3.67  																		|
% 13.44/3.67  																		+-Applying beta-rule and splitting (308), into two cases.
% 13.44/3.67  																		|-Branch one:
% 13.44/3.67  																		| (301) less_than(all_59_2_80, all_0_4_4) = 0
% 13.44/3.67  																		|
% 13.44/3.67  																			+-Applying beta-rule and splitting (307), into two cases.
% 13.44/3.67  																			|-Branch one:
% 13.44/3.67  																			| (302) all_61_1_86 = 0
% 13.44/3.67  																			|
% 13.44/3.67  																				| Equations (302) can reduce 289 to:
% 13.44/3.67  																				| (148) $false
% 13.44/3.67  																				|
% 13.44/3.67  																				|-The branch is then unsatisfiable
% 13.44/3.67  																			|-Branch two:
% 13.44/3.67  																			| (289)  ~ (all_61_1_86 = 0)
% 13.44/3.67  																			| (313)  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_3_3) = v0) | ( ~ (v0 = 0) & pair_in_list(all_0_6_6, all_0_4_4, all_59_2_80) = v0))
% 13.44/3.67  																			|
% 13.44/3.67  																				| Instantiating formula (46) with all_59_2_80, all_0_4_4, 0, all_61_1_86 and discharging atoms less_than(all_59_2_80, all_0_4_4) = all_61_1_86, less_than(all_59_2_80, all_0_4_4) = 0, yields:
% 13.44/3.67  																				| (302) all_61_1_86 = 0
% 13.44/3.67  																				|
% 13.44/3.67  																				| Equations (302) can reduce 289 to:
% 13.44/3.67  																				| (148) $false
% 13.44/3.67  																				|
% 13.44/3.67  																				|-The branch is then unsatisfiable
% 13.44/3.67  																		|-Branch two:
% 13.44/3.67  																		| (316)  ~ (less_than(all_59_2_80, all_0_4_4) = 0)
% 13.44/3.67  																		| (300) all_159_0_129 = 0
% 13.44/3.67  																		|
% 13.44/3.67  																			| Equations (300) can reduce 305 to:
% 13.44/3.67  																			| (148) $false
% 13.44/3.67  																			|
% 13.44/3.67  																			|-The branch is then unsatisfiable
% 13.44/3.67  														|-Branch two:
% 13.44/3.67  														| (319)  ~ (all_61_2_87 = 0) & contains_slb(all_0_6_6, all_0_4_4) = all_61_2_87
% 13.44/3.67  														|
% 13.44/3.67  															| Applying alpha-rule on (319) yields:
% 13.44/3.67  															| (320)  ~ (all_61_2_87 = 0)
% 13.44/3.67  															| (321) contains_slb(all_0_6_6, all_0_4_4) = all_61_2_87
% 13.44/3.67  															|
% 13.44/3.67  															| Instantiating formula (70) with all_0_6_6, all_0_4_4, all_61_2_87, 0 and discharging atoms contains_slb(all_0_6_6, all_0_4_4) = all_61_2_87, contains_slb(all_0_6_6, all_0_4_4) = 0, yields:
% 13.44/3.67  															| (322) all_61_2_87 = 0
% 13.44/3.67  															|
% 13.44/3.67  															| Equations (322) can reduce 320 to:
% 13.44/3.67  															| (148) $false
% 13.44/3.67  															|
% 13.44/3.67  															|-The branch is then unsatisfiable
% 13.44/3.67  												|-Branch two:
% 13.44/3.67  												| (324)  ~ (all_59_2_80 = 0) & contains_slb(all_0_6_6, all_0_4_4) = all_59_2_80
% 13.44/3.67  												|
% 13.44/3.67  													| Applying alpha-rule on (324) yields:
% 13.44/3.67  													| (325)  ~ (all_59_2_80 = 0)
% 13.44/3.67  													| (326) contains_slb(all_0_6_6, all_0_4_4) = all_59_2_80
% 13.44/3.67  													|
% 13.44/3.67  													| Instantiating formula (70) with all_0_6_6, all_0_4_4, all_59_2_80, 0 and discharging atoms contains_slb(all_0_6_6, all_0_4_4) = all_59_2_80, contains_slb(all_0_6_6, all_0_4_4) = 0, yields:
% 13.44/3.67  													| (327) all_59_2_80 = 0
% 13.44/3.67  													|
% 13.44/3.67  													| Equations (327) can reduce 325 to:
% 13.44/3.67  													| (148) $false
% 13.44/3.67  													|
% 13.44/3.67  													|-The branch is then unsatisfiable
% 13.44/3.67  										|-Branch two:
% 13.44/3.67  										| (329)  ~ (all_101_0_94 = 0) & strictly_less_than(all_60_3_84, all_60_2_83) = all_101_0_94
% 13.44/3.67  										|
% 13.44/3.67  											| Applying alpha-rule on (329) yields:
% 13.44/3.67  											| (330)  ~ (all_101_0_94 = 0)
% 13.44/3.67  											| (331) strictly_less_than(all_60_3_84, all_60_2_83) = all_101_0_94
% 13.44/3.67  											|
% 13.44/3.67  											| Instantiating formula (8) with all_60_3_84, all_60_2_83, 0, all_101_0_94 and discharging atoms strictly_less_than(all_60_3_84, all_60_2_83) = all_101_0_94, strictly_less_than(all_60_3_84, all_60_2_83) = 0, yields:
% 13.44/3.67  											| (194) all_101_0_94 = 0
% 13.44/3.67  											|
% 13.44/3.67  											| Equations (194) can reduce 330 to:
% 13.44/3.67  											| (148) $false
% 13.44/3.67  											|
% 13.44/3.67  											|-The branch is then unsatisfiable
% 13.44/3.67  									|-Branch two:
% 13.44/3.67  									| (334)  ~ (all_116_0_95 = 0) & less_than(all_60_3_84, all_60_2_83) = all_116_0_95
% 13.44/3.67  									|
% 13.44/3.67  										| Applying alpha-rule on (334) yields:
% 13.44/3.67  										| (335)  ~ (all_116_0_95 = 0)
% 13.44/3.67  										| (336) less_than(all_60_3_84, all_60_2_83) = all_116_0_95
% 13.44/3.67  										|
% 13.44/3.67  										| Instantiating formula (46) with all_60_3_84, all_60_2_83, 0, all_116_0_95 and discharging atoms less_than(all_60_3_84, all_60_2_83) = all_116_0_95, less_than(all_60_3_84, all_60_2_83) = 0, yields:
% 13.44/3.67  										| (191) all_116_0_95 = 0
% 13.44/3.67  										|
% 13.44/3.67  										| Equations (191) can reduce 335 to:
% 13.44/3.67  										| (148) $false
% 13.44/3.67  										|
% 13.44/3.67  										|-The branch is then unsatisfiable
% 13.44/3.67  							|-Branch two:
% 13.44/3.67  							| (339)  ~ (less_than(all_60_3_84, all_60_2_83) = 0)
% 13.44/3.67  							| (185) all_60_0_81 = 0
% 13.44/3.67  							|
% 13.44/3.67  								| Equations (185) can reduce 177 to:
% 13.44/3.67  								| (148) $false
% 13.44/3.67  								|
% 13.44/3.67  								|-The branch is then unsatisfiable
% 13.44/3.67  						|-Branch two:
% 13.44/3.67  						| (342) all_60_3_84 = 0 & check_cpq(all_0_3_3) = 0
% 13.44/3.67  						|
% 13.44/3.67  							| Applying alpha-rule on (342) yields:
% 13.44/3.67  							| (343) all_60_3_84 = 0
% 13.44/3.67  							| (344) check_cpq(all_0_3_3) = 0
% 13.44/3.67  							|
% 13.44/3.67  							| Instantiating formula (3) with all_0_3_3, 0, all_58_0_77 and discharging atoms check_cpq(all_0_3_3) = all_58_0_77, check_cpq(all_0_3_3) = 0, yields:
% 13.44/3.67  							| (164) all_58_0_77 = 0
% 13.44/3.67  							|
% 13.44/3.67  							| Equations (164) can reduce 173 to:
% 13.44/3.67  							| (148) $false
% 13.44/3.67  							|
% 13.44/3.67  							|-The branch is then unsatisfiable
% 13.44/3.67  				|-Branch two:
% 13.44/3.67  				| (347)  ~ (all_57_0_76 = 0) & strictly_less_than(all_0_4_4, all_0_1_1) = all_57_0_76
% 13.44/3.67  				|
% 13.44/3.67  					| Applying alpha-rule on (347) yields:
% 13.44/3.67  					| (348)  ~ (all_57_0_76 = 0)
% 13.44/3.67  					| (349) strictly_less_than(all_0_4_4, all_0_1_1) = all_57_0_76
% 13.44/3.67  					|
% 13.44/3.67  					| Instantiating formula (8) with all_0_4_4, all_0_1_1, 0, all_57_0_76 and discharging atoms strictly_less_than(all_0_4_4, all_0_1_1) = all_57_0_76, strictly_less_than(all_0_4_4, all_0_1_1) = 0, yields:
% 13.44/3.67  					| (160) all_57_0_76 = 0
% 13.44/3.67  					|
% 13.44/3.67  					| Equations (160) can reduce 348 to:
% 13.44/3.67  					| (148) $false
% 13.44/3.67  					|
% 13.44/3.67  					|-The branch is then unsatisfiable
% 13.44/3.67  			|-Branch two:
% 13.44/3.67  			| (352)  ~ (all_62_1_89 = 0) & strictly_less_than(all_0_4_4, all_0_1_1) = all_62_1_89
% 13.44/3.67  			|
% 13.44/3.67  				| Applying alpha-rule on (352) yields:
% 13.44/3.67  				| (353)  ~ (all_62_1_89 = 0)
% 13.44/3.67  				| (354) strictly_less_than(all_0_4_4, all_0_1_1) = all_62_1_89
% 13.70/3.67  				|
% 13.70/3.67  				| Instantiating formula (8) with all_0_4_4, all_0_1_1, 0, all_62_1_89 and discharging atoms strictly_less_than(all_0_4_4, all_0_1_1) = all_62_1_89, strictly_less_than(all_0_4_4, all_0_1_1) = 0, yields:
% 13.70/3.67  				| (355) all_62_1_89 = 0
% 13.70/3.67  				|
% 13.70/3.67  				| Equations (355) can reduce 353 to:
% 13.70/3.67  				| (148) $false
% 13.70/3.67  				|
% 13.70/3.67  				|-The branch is then unsatisfiable
% 13.70/3.67  		|-Branch two:
% 13.70/3.67  		| (357)  ~ (all_70_0_91 = 0) & less_than(all_0_4_4, all_0_1_1) = all_70_0_91
% 13.70/3.67  		|
% 13.70/3.67  			| Applying alpha-rule on (357) yields:
% 13.70/3.67  			| (358)  ~ (all_70_0_91 = 0)
% 13.70/3.67  			| (359) less_than(all_0_4_4, all_0_1_1) = all_70_0_91
% 13.70/3.67  			|
% 13.70/3.67  			| Instantiating formula (46) with all_0_4_4, all_0_1_1, 0, all_70_0_91 and discharging atoms less_than(all_0_4_4, all_0_1_1) = all_70_0_91, less_than(all_0_4_4, all_0_1_1) = 0, yields:
% 13.70/3.67  			| (153) all_70_0_91 = 0
% 13.70/3.67  			|
% 13.70/3.67  			| Equations (153) can reduce 358 to:
% 13.70/3.67  			| (148) $false
% 13.70/3.67  			|
% 13.70/3.67  			|-The branch is then unsatisfiable
% 13.70/3.67  |-Branch two:
% 13.70/3.67  | (362)  ~ (less_than(all_0_4_4, all_0_1_1) = 0)
% 13.70/3.67  | (147) all_0_0_0 = 0
% 13.70/3.67  |
% 13.70/3.67  	| Equations (147) can reduce 35 to:
% 13.70/3.67  	| (148) $false
% 13.70/3.67  	|
% 13.70/3.67  	|-The branch is then unsatisfiable
% 13.70/3.67  % SZS output end Proof for theBenchmark
% 13.70/3.67  
% 13.70/3.67  3065ms
%------------------------------------------------------------------------------