%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SWV398+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n027.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 17:51:15 EDT 2022

% Result   : Theorem 10.49s 3.07s
% Output   : Proof 14.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV398+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 17:20:49 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.56/0.60          ____       _                          
% 0.56/0.60    ___  / __ \_____(_)___  ________  __________
% 0.56/0.60   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.60  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.56/0.60  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.56/0.60  
% 0.56/0.60  A Theorem Prover for First-Order Logic
% 0.62/0.60  (ePrincess v.1.0)
% 0.62/0.60  
% 0.62/0.60  (c) Philipp Rümmer, 2009-2015
% 0.62/0.60  (c) Peter Backeman, 2014-2015
% 0.62/0.60  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.62/0.60  Free software under GNU Lesser General Public License (LGPL).
% 0.62/0.60  Bug reports to peter@backeman.se
% 0.62/0.60  
% 0.62/0.60  For more information, visit http://user.uu.se/~petba168/breu/
% 0.62/0.60  
% 0.62/0.60  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.72/0.65  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.00/1.01  Prover 0: Preprocessing ...
% 3.07/1.37  Prover 0: Warning: ignoring some quantifiers
% 3.46/1.40  Prover 0: Constructing countermodel ...
% 6.09/2.01  Prover 0: gave up
% 6.09/2.01  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 6.17/2.06  Prover 1: Preprocessing ...
% 6.66/2.18  Prover 1: Constructing countermodel ...
% 7.97/2.43  Prover 1: gave up
% 7.97/2.43  Prover 2: Options:  +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 7.97/2.46  Prover 2: Preprocessing ...
% 8.44/2.58  Prover 2: Warning: ignoring some quantifiers
% 8.44/2.59  Prover 2: Constructing countermodel ...
% 10.49/3.07  Prover 2: proved (646ms)
% 10.49/3.07  
% 10.49/3.07  No countermodel exists, formula is valid
% 10.49/3.07  % SZS status Theorem for theBenchmark
% 10.49/3.07  
% 10.49/3.07  Generating proof ... Warning: ignoring some quantifiers
% 13.14/3.71  found it (size 240)
% 13.14/3.71  
% 13.14/3.71  % SZS output start Proof for theBenchmark
% 13.14/3.71  Assumed formulas after preprocessing and simplification: 
% 13.14/3.71  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : ( ~ (v5 = 0) &  ~ (v0 = 0) & triple(v1, v2, v3) = v4 & check_cpq(v6) = 0 & check_cpq(v4) = v5 & findmin_cpq_eff(v4) = v6 & isnonempty_slb(create_slb) = v0 &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : (v14 = 0 |  ~ (pair_in_list(v13, v9, v11) = v14) |  ~ (pair(v8, v10) = v12) |  ~ (insert_slb(v7, v12) = v13) |  ? [v15] : ( ~ (v15 = 0) & pair_in_list(v7, v9, v11) = v15)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (insert_pqp(v7, v10) = v11) |  ~ (triple(v11, v13, v9) = v14) |  ~ (pair(v10, bottom) = v12) |  ~ (insert_slb(v8, v12) = v13) |  ? [v15] : (triple(v7, v8, v9) = v15 & insert_cpq(v15, v10) = v14)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (triple(v7, v13, v9) = v14) |  ~ (pair(v10, v11) = v12) |  ~ (insert_slb(v8, v12) = v13) |  ? [v15] :  ? [v16] :  ? [v17] : (( ~ (v15 = 0) & less_than(v11, v10) = v15) | (((v17 = 0 & triple(v7, v8, v9) = v16 & check_cpq(v16) = 0) | ( ~ (v15 = 0) & check_cpq(v14) = v15)) & ((v15 = 0 & check_cpq(v14) = 0) | ( ~ (v17 = 0) & triple(v7, v8, v9) = v16 & check_cpq(v16) = v17))))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (triple(v7, v13, v9) = v14) |  ~ (pair(v10, v11) = v12) |  ~ (insert_slb(v8, v12) = v13) |  ? [v15] : (( ~ (v15 = 0) & check_cpq(v14) = v15) | ( ~ (v15 = 0) & strictly_less_than(v10, v11) = v15))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (triple(v7, v8, v9) = v10) |  ~ (less_than(v12, v11) = v13) |  ? [v14] : (( ~ (v14 = 0) & check_cpq(v10) = v14) | ( ~ (v14 = 0) & pair_in_list(v8, v11, v12) = v14))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v13 = 0 |  ~ (contains_slb(v12, v9) = v13) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) |  ? [v14] : ( ~ (v14 = 0) & contains_slb(v7, v9) = v14)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (pair_in_list(v13, v9, v11) = 0) |  ~ (pair(v8, v10) = v12) |  ~ (insert_slb(v7, v12) = v13) | pair_in_list(v7, v9, v11) = 0) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v9 = v8 |  ~ (lookup_slb(v12, v9) = v13) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) |  ? [v14] : ((v14 = v13 & lookup_slb(v7, v9) = v13) | ( ~ (v14 = 0) & contains_slb(v7, v9) = v14))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v9 = v8 |  ~ (remove_slb(v12, v9) = v13) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) |  ? [v14] :  ? [v15] : ((v15 = v13 & remove_slb(v7, v9) = v14 & insert_slb(v14, v11) = v13) | ( ~ (v14 = 0) & contains_slb(v7, v9) = v14))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v9 = v8 |  ~ (remove_slb(v7, v9) = v12) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v12, v11) = v13) |  ? [v14] :  ? [v15] : ((v15 = v13 & remove_slb(v14, v9) = v13 & insert_slb(v7, v11) = v14) | ( ~ (v14 = 0) & contains_slb(v7, v9) = v14))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v9 = v8 |  ~ (pair_in_list(v13, v9, v11) = 0) |  ~ (pair(v8, v10) = v12) |  ~ (insert_slb(v7, v12) = v13) | pair_in_list(v7, v9, v11) = 0) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (remove_pqp(v7, v10) = v11) |  ~ (triple(v11, v12, v9) = v13) |  ~ (remove_slb(v8, v10) = v12) |  ? [v14] :  ? [v15] : ((v15 = v13 & triple(v7, v8, v9) = v14 & remove_cpq(v14, v10) = v13) | ( ~ (v15 = 0) & lookup_slb(v8, v10) = v14 & less_than(v14, v10) = v15) | ( ~ (v14 = 0) & contains_slb(v8, v10) = v14))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (update_slb(v12, v9) = v13) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) |  ? [v14] :  ? [v15] :  ? [v16] : ((v16 = v13 & update_slb(v7, v9) = v14 & pair(v8, v9) = v15 & insert_slb(v14, v15) = v13) | ( ~ (v14 = 0) & strictly_less_than(v10, v9) = v14))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (update_slb(v12, v9) = v13) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) |  ? [v14] :  ? [v15] : ((v15 = v13 & update_slb(v7, v9) = v14 & insert_slb(v14, v11) = v13) | ( ~ (v14 = 0) & less_than(v9, v10) = v14))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (update_slb(v7, v9) = v12) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v12, v11) = v13) |  ? [v14] :  ? [v15] : ((v15 = v13 & update_slb(v14, v9) = v13 & insert_slb(v7, v11) = v14) | ( ~ (v14 = 0) & less_than(v9, v10) = v14))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (contains_cpq(v11, v10) = v12) |  ~ (triple(v7, v8, v9) = v11) |  ? [v13] : ( ~ (v13 = 0) & contains_slb(v8, v10) = v13)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (pair_in_list(v11, v8, v9) = v12) |  ~ (pair(v8, v9) = v10) |  ~ (insert_slb(v7, v10) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = 0 |  ~ (contains_slb(v11, v8) = v12) |  ~ (pair(v8, v9) = v10) |  ~ (insert_slb(v7, v10) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v9 = v8 |  ~ (contains_slb(v12, v9) = 0) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) | contains_slb(v7, v9) = 0) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v8 = create_slb |  ~ (findmin_pqp_res(v7) = v10) |  ~ (triple(v7, v11, v9) = v12) |  ~ (update_slb(v8, v10) = v11) |  ? [v13] :  ? [v14] : ((v14 = v12 & triple(v7, v8, v9) = v13 & findmin_cpq_eff(v13) = v12) | ( ~ (v14 = 0) & lookup_slb(v8, v10) = v13 & less_than(v13, v10) = v14) | ( ~ (v13 = 0) & contains_slb(v8, v10) = v13))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (triple(v7, v8, v9) = v11) |  ~ (remove_cpq(v11, v10) = v12) |  ? [v13] :  ? [v14] :  ? [v15] : ((v15 = v12 & remove_pqp(v7, v10) = v13 & triple(v13, v14, v9) = v12 & remove_slb(v8, v10) = v14) | ( ~ (v14 = 0) & lookup_slb(v8, v10) = v13 & less_than(v13, v10) = v14) | ( ~ (v13 = 0) & contains_slb(v8, v10) = v13))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (triple(v7, v8, v9) = v11) |  ~ (remove_cpq(v11, v10) = v12) |  ? [v13] :  ? [v14] :  ? [v15] : ((v15 = v12 & remove_pqp(v7, v10) = v13 & triple(v13, v14, bad) = v12 & remove_slb(v8, v10) = v14) | ( ~ (v14 = 0) & lookup_slb(v8, v10) = v13 & strictly_less_than(v10, v13) = v14) | ( ~ (v13 = 0) & contains_slb(v8, v10) = v13))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (triple(v7, v8, v9) = v11) |  ~ (remove_cpq(v11, v10) = v12) |  ? [v13] : ((v13 = v12 & triple(v7, v8, bad) = v12) | (v13 = 0 & contains_slb(v8, v10) = 0))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (triple(v7, v8, v9) = v11) |  ~ (insert_cpq(v11, v10) = v12) |  ? [v13] :  ? [v14] :  ? [v15] : (insert_pqp(v7, v10) = v13 & triple(v13, v15, v9) = v12 & pair(v10, bottom) = v14 & insert_slb(v8, v14) = v15)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (triple(v7, v8, v9) = v10) |  ~ (pair_in_list(v8, v11, v12) = 0) |  ? [v13] : ((v13 = 0 & less_than(v12, v11) = 0) | ( ~ (v13 = 0) & check_cpq(v10) = v13))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (remove_cpq(v8, v9) = v10) |  ~ (succ_cpq(v7, v10) = v11) |  ? [v12] : ( ~ (v12 = 0) & succ_cpq(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v11 = 0 |  ~ (insert_cpq(v8, v9) = v10) |  ~ (succ_cpq(v7, v10) = v11) |  ? [v12] : ( ~ (v12 = 0) & succ_cpq(v7, v8) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v8 = v7 |  ~ (triple(v11, v10, v9) = v8) |  ~ (triple(v11, v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v8 = v7 |  ~ (pair_in_list(v11, v10, v9) = v8) |  ~ (pair_in_list(v11, v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v8 = create_slb |  ~ (findmin_cpq_res(v10) = v11) |  ~ (triple(v7, v8, v9) = v10) | findmin_pqp_res(v7) = v11) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v8 = create_slb |  ~ (triple(v7, v8, v9) = v10) |  ~ (findmin_cpq_eff(v10) = v11) |  ? [v12] :  ? [v13] :  ? [v14] : (findmin_pqp_res(v7) = v12 & ((v14 = v11 & triple(v7, v13, v9) = v11 & update_slb(v8, v12) = v13) | ( ~ (v14 = 0) & lookup_slb(v8, v12) = v13 & less_than(v13, v12) = v14) | ( ~ (v13 = 0) & contains_slb(v8, v12) = v13)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v8 = create_slb |  ~ (triple(v7, v8, v9) = v10) |  ~ (findmin_cpq_eff(v10) = v11) |  ? [v12] :  ? [v13] :  ? [v14] : (findmin_pqp_res(v7) = v12 & ((v14 = v11 & triple(v7, v13, bad) = v11 & update_slb(v8, v12) = v13) | (v13 = 0 & contains_slb(v8, v12) = 0)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v8 = create_slb |  ~ (triple(v7, v8, v9) = v10) |  ~ (findmin_cpq_eff(v10) = v11) |  ? [v12] :  ? [v13] :  ? [v14] : (findmin_pqp_res(v7) = v12 & ((v14 = v11 & triple(v7, v13, bad) = v11 & update_slb(v8, v12) = v13) | ( ~ (v14 = 0) & lookup_slb(v8, v12) = v13 & strictly_less_than(v12, v13) = v14) | ( ~ (v13 = 0) & contains_slb(v8, v12) = v13)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (contains_cpq(v11, v10) = 0) |  ~ (triple(v7, v8, v9) = v11) | contains_slb(v8, v10) = 0) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (update_slb(v7, v8) = v9) |  ~ (pair_in_list(v7, v10, v11) = 0) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : ((v15 = 0 & v14 = 0 & pair_in_list(v9, v12, v13) = 0 & strictly_less_than(v12, v13) = 0) | ( ~ (v12 = 0) & strictly_less_than(v10, v11) = v12))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (update_slb(v7, v8) = v9) |  ~ (strictly_less_than(v10, v11) = 0) |  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : ((v15 = 0 & v14 = 0 & pair_in_list(v9, v12, v13) = 0 & strictly_less_than(v12, v13) = 0) | ( ~ (v12 = 0) & pair_in_list(v7, v10, v11) = v12))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (pair(v8, v9) = v10) |  ~ (insert_slb(v7, v10) = v11) | lookup_slb(v11, v8) = v9) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (pair(v8, v9) = v10) |  ~ (insert_slb(v7, v10) = v11) | remove_slb(v11, v8) = v7) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (pair(v8, v9) = v10) |  ~ (insert_slb(v7, v10) = v11) | isnonempty_slb(v11) = 0) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = 0 |  ~ (removemin_cpq_eff(v8) = v9) |  ~ (succ_cpq(v7, v9) = v10) |  ? [v11] : ( ~ (v11 = 0) & succ_cpq(v7, v8) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = 0 |  ~ (findmin_cpq_eff(v8) = v9) |  ~ (succ_cpq(v7, v9) = v10) |  ? [v11] : ( ~ (v11 = 0) & succ_cpq(v7, v8) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = 0 |  ~ (less_than(v8, v9) = 0) |  ~ (less_than(v7, v9) = v10) |  ? [v11] : ( ~ (v11 = 0) & less_than(v7, v8) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = 0 |  ~ (less_than(v7, v9) = v10) |  ~ (less_than(v7, v8) = 0) |  ? [v11] : ( ~ (v11 = 0) & less_than(v8, v9) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v9 = bad |  ~ (triple(v7, v8, v9) = v10) | ok(v10) = 0) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (remove_pqp(v10, v9) = v8) |  ~ (remove_pqp(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (insert_pqp(v10, v9) = v8) |  ~ (insert_pqp(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (contains_cpq(v10, v9) = v8) |  ~ (contains_cpq(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (remove_cpq(v10, v9) = v8) |  ~ (remove_cpq(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (insert_cpq(v10, v9) = v8) |  ~ (insert_cpq(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (succ_cpq(v10, v9) = v8) |  ~ (succ_cpq(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (update_slb(v10, v9) = v8) |  ~ (update_slb(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (lookup_slb(v10, v9) = v8) |  ~ (lookup_slb(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (remove_slb(v10, v9) = v8) |  ~ (remove_slb(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (contains_slb(v10, v9) = v8) |  ~ (contains_slb(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (pair(v10, v9) = v8) |  ~ (pair(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (insert_slb(v10, v9) = v8) |  ~ (insert_slb(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (strictly_less_than(v10, v9) = v8) |  ~ (strictly_less_than(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (less_than(v10, v9) = v8) |  ~ (less_than(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (triple(v7, v8, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : ((v13 = 0 &  ~ (v14 = 0) & pair_in_list(v8, v11, v12) = 0 & less_than(v12, v11) = v14) | (v11 = 0 & check_cpq(v10) = 0))) &  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (strictly_less_than(v7, v8) = v9) |  ? [v10] : ((v10 = 0 & less_than(v8, v7) = 0) | ( ~ (v10 = 0) & less_than(v7, v8) = v10))) &  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (less_than(v8, v7) = v9) | less_than(v7, v8) = 0) &  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (less_than(v8, v7) = v9) |  ? [v10] : ((v10 = 0 & strictly_less_than(v7, v8) = 0) | ( ~ (v10 = 0) & less_than(v7, v8) = v10))) &  ! [v7] :  ! [v8] :  ! [v9] : (v9 = 0 |  ~ (less_than(v7, v8) = v9) | less_than(v8, v7) = 0) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (removemin_cpq_res(v9) = v8) |  ~ (removemin_cpq_res(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (findmin_cpq_res(v9) = v8) |  ~ (findmin_cpq_res(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (findmin_pqp_res(v9) = v8) |  ~ (findmin_pqp_res(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (ok(v9) = v8) |  ~ (ok(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (check_cpq(v9) = v8) |  ~ (check_cpq(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (removemin_cpq_eff(v9) = v8) |  ~ (removemin_cpq_eff(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (findmin_cpq_eff(v9) = v8) |  ~ (findmin_cpq_eff(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (isnonempty_slb(v9) = v8) |  ~ (isnonempty_slb(v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (triple(v7, v8, bad) = v9) |  ? [v10] : ( ~ (v10 = 0) & ok(v9) = v10)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (triple(v7, create_slb, v8) = v9) | findmin_cpq_res(v9) = bottom) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (triple(v7, create_slb, v8) = v9) | check_cpq(v9) = 0) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (triple(v7, create_slb, v8) = v9) |  ? [v10] : (triple(v7, create_slb, bad) = v10 & findmin_cpq_eff(v9) = v10)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (less_than(v8, v9) = 0) |  ~ (less_than(v7, v8) = 0) | less_than(v7, v9) = 0) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (less_than(v8, v7) = v9) |  ? [v10] : ((v10 = 0 &  ~ (v9 = 0) & less_than(v7, v8) = 0) | ( ~ (v10 = 0) & strictly_less_than(v7, v8) = v10))) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (less_than(v7, v8) = v9) |  ? [v10] : ((v9 = 0 &  ~ (v10 = 0) & less_than(v8, v7) = v10) | ( ~ (v10 = 0) & strictly_less_than(v7, v8) = v10))) &  ! [v7] :  ! [v8] : (v8 = create_slb |  ~ (update_slb(create_slb, v7) = v8)) &  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (succ_cpq(v7, v7) = v8)) &  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (less_than(v7, v7) = v8)) &  ! [v7] :  ! [v8] : (v8 = 0 |  ~ (less_than(bottom, v7) = v8)) &  ! [v7] :  ! [v8] : ( ~ (removemin_cpq_res(v7) = v8) | findmin_cpq_res(v7) = v8) &  ! [v7] :  ! [v8] : ( ~ (findmin_cpq_res(v7) = v8) | removemin_cpq_res(v7) = v8) &  ! [v7] :  ! [v8] : ( ~ (findmin_cpq_res(v7) = v8) |  ? [v9] :  ? [v10] : (removemin_cpq_eff(v7) = v9 & findmin_cpq_eff(v7) = v10 & remove_cpq(v10, v8) = v9)) &  ! [v7] :  ! [v8] : ( ~ (removemin_cpq_eff(v7) = v8) |  ? [v9] :  ? [v10] : (findmin_cpq_res(v7) = v10 & findmin_cpq_eff(v7) = v9 & remove_cpq(v9, v10) = v8)) &  ! [v7] :  ! [v8] : ( ~ (findmin_cpq_eff(v7) = v8) |  ? [v9] :  ? [v10] : (findmin_cpq_res(v7) = v10 & removemin_cpq_eff(v7) = v9 & remove_cpq(v8, v10) = v9)) &  ! [v7] :  ! [v8] : ( ~ (succ_cpq(v7, v8) = 0) |  ? [v9] : (removemin_cpq_eff(v8) = v9 & succ_cpq(v7, v9) = 0)) &  ! [v7] :  ! [v8] : ( ~ (succ_cpq(v7, v8) = 0) |  ? [v9] : (findmin_cpq_eff(v8) = v9 & succ_cpq(v7, v9) = 0)) &  ! [v7] :  ! [v8] :  ~ (pair_in_list(create_slb, v7, v8) = 0) &  ! [v7] :  ! [v8] : ( ~ (strictly_less_than(v7, v8) = 0) |  ? [v9] : ( ~ (v9 = 0) & less_than(v8, v7) = v9 & less_than(v7, v8) = 0)) &  ! [v7] :  ! [v8] : ( ~ (less_than(v7, v8) = 0) |  ? [v9] : ((v9 = 0 & strictly_less_than(v7, v8) = 0) | (v9 = 0 & less_than(v8, v7) = 0))) &  ! [v7] :  ~ (contains_slb(create_slb, v7) = 0) &  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : triple(v9, v8, v7) = v10 &  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : pair_in_list(v9, v8, v7) = v10 &  ? [v7] :  ? [v8] :  ? [v9] : remove_pqp(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : insert_pqp(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : contains_cpq(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : remove_cpq(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : insert_cpq(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : succ_cpq(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : update_slb(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : lookup_slb(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : remove_slb(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : contains_slb(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : pair(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : insert_slb(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : strictly_less_than(v8, v7) = v9 &  ? [v7] :  ? [v8] :  ? [v9] : less_than(v8, v7) = v9 &  ? [v7] :  ? [v8] : removemin_cpq_res(v7) = v8 &  ? [v7] :  ? [v8] : findmin_cpq_res(v7) = v8 &  ? [v7] :  ? [v8] : findmin_pqp_res(v7) = v8 &  ? [v7] :  ? [v8] : ok(v7) = v8 &  ? [v7] :  ? [v8] : check_cpq(v7) = v8 &  ? [v7] :  ? [v8] : removemin_cpq_eff(v7) = v8 &  ? [v7] :  ? [v8] : findmin_cpq_eff(v7) = v8 &  ? [v7] :  ? [v8] : isnonempty_slb(v7) = v8)
% 13.66/3.77  | 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 yields:
% 13.66/3.77  | (1)  ~ (all_0_1_1 = 0) &  ~ (all_0_6_6 = 0) & triple(all_0_5_5, all_0_4_4, all_0_3_3) = all_0_2_2 & check_cpq(all_0_0_0) = 0 & check_cpq(all_0_2_2) = all_0_1_1 & findmin_cpq_eff(all_0_2_2) = all_0_0_0 & isnonempty_slb(create_slb) = all_0_6_6 &  ! [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] : ( ~ (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] : ( ~ (update_slb(v0, v1) = v2) |  ~ (pair_in_list(v0, v3, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 & v7 = 0 & pair_in_list(v2, v5, v6) = 0 & strictly_less_than(v5, v6) = 0) | ( ~ (v5 = 0) & strictly_less_than(v3, v4) = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (update_slb(v0, v1) = v2) |  ~ (strictly_less_than(v3, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 & v7 = 0 & pair_in_list(v2, v5, v6) = 0 & strictly_less_than(v5, v6) = 0) | ( ~ (v5 = 0) & pair_in_list(v0, v3, v4) = v5))) &  ! [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
% 13.66/3.80  |
% 13.66/3.80  | Applying alpha-rule on (1) yields:
% 13.66/3.80  | (2)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (findmin_cpq_eff(v1) = v2) |  ~ (succ_cpq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & succ_cpq(v0, v1) = v4))
% 13.66/3.80  | (3)  ! [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)))
% 13.66/3.80  | (4)  ! [v0] :  ! [v1] : ( ~ (findmin_cpq_eff(v0) = v1) |  ? [v2] :  ? [v3] : (findmin_cpq_res(v0) = v3 & removemin_cpq_eff(v0) = v2 & remove_cpq(v1, v3) = v2))
% 13.66/3.80  | (5)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_cpq(v3, v2) = v1) |  ~ (remove_cpq(v3, v2) = v0))
% 13.66/3.80  | (6)  ! [v0] :  ! [v1] : ( ~ (findmin_cpq_res(v0) = v1) |  ? [v2] :  ? [v3] : (removemin_cpq_eff(v0) = v2 & findmin_cpq_eff(v0) = v3 & remove_cpq(v3, v1) = v2))
% 13.66/3.80  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_pqp(v3, v2) = v1) |  ~ (remove_pqp(v3, v2) = v0))
% 13.66/3.80  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | lookup_slb(v4, v1) = v2)
% 13.66/3.80  | (9)  ! [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)
% 13.66/3.80  | (10)  ! [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)))
% 13.66/3.80  | (11)  ! [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))
% 13.66/3.80  | (12)  ? [v0] :  ? [v1] :  ? [v2] : insert_slb(v1, v0) = v2
% 13.66/3.80  | (13)  ! [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)))
% 13.66/3.80  | (14)  ? [v0] :  ? [v1] : ok(v0) = v1
% 13.66/3.80  | (15)  ! [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)))
% 13.66/3.80  | (16)  ! [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)))
% 13.66/3.80  | (17)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_cpq_res(v2) = v1) |  ~ (findmin_cpq_res(v2) = v0))
% 13.66/3.80  | (18)  ? [v0] :  ? [v1] : check_cpq(v0) = v1
% 13.66/3.81  | (19)  ! [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))))
% 13.66/3.81  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (update_slb(v3, v2) = v1) |  ~ (update_slb(v3, v2) = v0))
% 13.66/3.81  | (21)  ! [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)))
% 13.66/3.81  | (22)  ! [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)))))
% 13.66/3.81  | (23)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (contains_slb(v4, v1) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4))
% 13.66/3.81  | (24)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_cpq(v3, v2) = v1) |  ~ (insert_cpq(v3, v2) = v0))
% 13.66/3.81  | (25)  ! [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)
% 13.66/3.81  | (26)  ! [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))
% 13.66/3.81  | (27)  ! [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)))
% 13.66/3.81  | (28)  ? [v0] :  ? [v1] :  ? [v2] : lookup_slb(v1, v0) = v2
% 13.66/3.81  | (29)  ? [v0] :  ? [v1] :  ? [v2] : insert_cpq(v1, v0) = v2
% 13.66/3.81  | (30)  ? [v0] :  ? [v1] :  ? [v2] : remove_cpq(v1, v0) = v2
% 13.66/3.81  | (31)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (less_than(v0, v2) = v3) |  ~ (less_than(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & less_than(v1, v2) = v4))
% 13.66/3.81  | (32) check_cpq(all_0_0_0) = 0
% 13.66/3.81  | (33)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (contains_cpq(v4, v3) = 0) |  ~ (triple(v0, v1, v2) = v4) | contains_slb(v1, v3) = 0)
% 13.66/3.81  | (34)  ? [v0] :  ? [v1] :  ? [v2] : remove_pqp(v1, v0) = v2
% 13.66/3.81  | (35)  ! [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)))
% 13.66/3.81  | (36)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) |  ? [v3] : (triple(v0, create_slb, bad) = v3 & findmin_cpq_eff(v2) = v3))
% 13.66/3.81  | (37)  ! [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)))
% 13.66/3.81  | (38)  ! [v0] :  ! [v1] : (v1 = create_slb |  ~ (update_slb(create_slb, v0) = v1))
% 13.66/3.81  | (39)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (removemin_cpq_res(v2) = v1) |  ~ (removemin_cpq_res(v2) = v0))
% 13.66/3.81  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (triple(v4, v3, v2) = v1) |  ~ (triple(v4, v3, v2) = v0))
% 13.66/3.81  | (41)  ? [v0] :  ? [v1] :  ? [v2] : update_slb(v1, v0) = v2
% 13.66/3.81  | (42)  ? [v0] :  ? [v1] :  ? [v2] : remove_slb(v1, v0) = v2
% 13.66/3.81  | (43)  ! [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)))
% 13.66/3.81  | (44)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (update_slb(v0, v1) = v2) |  ~ (pair_in_list(v0, v3, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 & v7 = 0 & pair_in_list(v2, v5, v6) = 0 & strictly_less_than(v5, v6) = 0) | ( ~ (v5 = 0) & strictly_less_than(v3, v4) = v5)))
% 13.66/3.81  | (45)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = bad |  ~ (triple(v0, v1, v2) = v3) | ok(v3) = 0)
% 13.66/3.81  | (46)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (succ_cpq(v0, v0) = v1))
% 13.66/3.81  | (47)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (contains_cpq(v3, v2) = v1) |  ~ (contains_cpq(v3, v2) = v0))
% 13.66/3.81  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pair(v3, v2) = v1) |  ~ (pair(v3, v2) = v0))
% 13.66/3.81  | (49)  ~ (all_0_1_1 = 0)
% 13.66/3.81  | (50)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less_than(v0, v1) = v2) | less_than(v1, v0) = 0)
% 13.66/3.81  | (51)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less_than(v1, v0) = v2) | less_than(v0, v1) = 0)
% 13.66/3.81  | (52)  ! [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)))
% 13.66/3.81  | (53)  ? [v0] :  ? [v1] :  ? [v2] : contains_slb(v1, v0) = v2
% 13.66/3.81  | (54)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | remove_slb(v4, v1) = v0)
% 13.66/3.81  | (55)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : triple(v2, v1, v0) = v3
% 13.66/3.81  | (56)  ? [v0] :  ? [v1] : findmin_cpq_res(v0) = v1
% 14.17/3.81  | (57)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (strictly_less_than(v3, v2) = v1) |  ~ (strictly_less_than(v3, v2) = v0))
% 14.17/3.81  | (58)  ? [v0] :  ? [v1] : findmin_cpq_eff(v0) = v1
% 14.17/3.81  | (59)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (less_than(v0, v0) = v1))
% 14.17/3.81  | (60)  ? [v0] :  ? [v1] :  ? [v2] : less_than(v1, v0) = v2
% 14.17/3.82  | (61)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (isnonempty_slb(v2) = v1) |  ~ (isnonempty_slb(v2) = v0))
% 14.17/3.82  | (62)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | isnonempty_slb(v4) = 0)
% 14.17/3.82  | (63) triple(all_0_5_5, all_0_4_4, all_0_3_3) = all_0_2_2
% 14.17/3.82  | (64)  ? [v0] :  ? [v1] : isnonempty_slb(v0) = v1
% 14.17/3.82  | (65)  ? [v0] :  ? [v1] : removemin_cpq_eff(v0) = v1
% 14.17/3.82  | (66)  ! [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)
% 14.17/3.82  | (67)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (less_than(v1, v2) = 0) |  ~ (less_than(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & less_than(v0, v1) = v4))
% 14.17/3.82  | (68)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (less_than(v1, v2) = 0) |  ~ (less_than(v0, v1) = 0) | less_than(v0, v2) = 0)
% 14.17/3.82  | (69)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (removemin_cpq_eff(v2) = v1) |  ~ (removemin_cpq_eff(v2) = v0))
% 14.17/3.82  | (70)  ? [v0] :  ? [v1] :  ? [v2] : succ_cpq(v1, v0) = v2
% 14.17/3.82  | (71)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : pair_in_list(v2, v1, v0) = v3
% 14.17/3.82  | (72)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_slb(v3, v2) = v1) |  ~ (remove_slb(v3, v2) = v0))
% 14.17/3.82  | (73)  ! [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))))
% 14.17/3.82  | (74)  ? [v0] :  ? [v1] :  ? [v2] : strictly_less_than(v1, v0) = v2
% 14.17/3.82  | (75)  ~ (all_0_6_6 = 0)
% 14.17/3.82  | (76)  ! [v0] :  ! [v1] : ( ~ (succ_cpq(v0, v1) = 0) |  ? [v2] : (findmin_cpq_eff(v1) = v2 & succ_cpq(v0, v2) = 0))
% 14.17/3.82  | (77)  ! [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))
% 14.17/3.82  | (78)  ! [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)))
% 14.17/3.82  | (79)  ! [v0] :  ~ (contains_slb(create_slb, v0) = 0)
% 14.17/3.82  | (80)  ! [v0] :  ! [v1] :  ~ (pair_in_list(create_slb, v0, v1) = 0)
% 14.17/3.82  | (81)  ! [v0] :  ! [v1] : ( ~ (findmin_cpq_res(v0) = v1) | removemin_cpq_res(v0) = v1)
% 14.17/3.82  | (82)  ! [v0] :  ! [v1] : ( ~ (removemin_cpq_res(v0) = v1) | findmin_cpq_res(v0) = v1)
% 14.17/3.82  | (83)  ! [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))
% 14.17/3.82  | (84)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (less_than(bottom, v0) = v1))
% 14.17/3.82  | (85)  ? [v0] :  ? [v1] :  ? [v2] : contains_cpq(v1, v0) = v2
% 14.17/3.82  | (86)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_cpq_eff(v2) = v1) |  ~ (findmin_cpq_eff(v2) = v0))
% 14.17/3.82  | (87)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | check_cpq(v2) = 0)
% 14.17/3.82  | (88)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_pqp(v3, v2) = v1) |  ~ (insert_pqp(v3, v2) = v0))
% 14.17/3.82  | (89)  ? [v0] :  ? [v1] : removemin_cpq_res(v0) = v1
% 14.17/3.82  | (90) check_cpq(all_0_2_2) = all_0_1_1
% 14.17/3.82  | (91)  ? [v0] :  ? [v1] :  ? [v2] : pair(v1, v0) = v2
% 14.17/3.82  | (92)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (ok(v2) = v1) |  ~ (ok(v2) = v0))
% 14.17/3.82  | (93)  ! [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))
% 14.17/3.82  | (94)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (less_than(v3, v2) = v1) |  ~ (less_than(v3, v2) = v0))
% 14.17/3.82  | (95)  ! [v0] :  ! [v1] : ( ~ (strictly_less_than(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & less_than(v1, v0) = v2 & less_than(v0, v1) = 0))
% 14.17/3.82  | (96)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (contains_slb(v3, v2) = v1) |  ~ (contains_slb(v3, v2) = v0))
% 14.17/3.82  | (97)  ! [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))
% 14.17/3.82  | (98)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | findmin_cpq_res(v2) = bottom)
% 14.17/3.82  | (99)  ! [v0] :  ! [v1] : ( ~ (succ_cpq(v0, v1) = 0) |  ? [v2] : (removemin_cpq_eff(v1) = v2 & succ_cpq(v0, v2) = 0))
% 14.17/3.82  | (100)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (succ_cpq(v3, v2) = v1) |  ~ (succ_cpq(v3, v2) = v0))
% 14.17/3.82  | (101)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (pair_in_list(v4, v3, v2) = v1) |  ~ (pair_in_list(v4, v3, v2) = v0))
% 14.17/3.82  | (102)  ? [v0] :  ? [v1] :  ? [v2] : insert_pqp(v1, v0) = v2
% 14.17/3.82  | (103)  ! [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))
% 14.17/3.82  | (104)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = create_slb |  ~ (findmin_cpq_res(v3) = v4) |  ~ (triple(v0, v1, v2) = v3) | findmin_pqp_res(v0) = v4)
% 14.17/3.82  | (105)  ! [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)))
% 14.17/3.82  | (106)  ! [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)))
% 14.17/3.82  | (107)  ! [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)))
% 14.17/3.82  | (108) isnonempty_slb(create_slb) = all_0_6_6
% 14.17/3.82  | (109)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (removemin_cpq_eff(v1) = v2) |  ~ (succ_cpq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & succ_cpq(v0, v1) = v4))
% 14.17/3.83  | (110)  ! [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)))
% 14.17/3.83  | (111)  ! [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)))
% 14.17/3.83  | (112)  ? [v0] :  ? [v1] : findmin_pqp_res(v0) = v1
% 14.17/3.83  | (113)  ! [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)))
% 14.17/3.83  | (114)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_pqp_res(v2) = v1) |  ~ (findmin_pqp_res(v2) = v0))
% 14.17/3.83  | (115)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (lookup_slb(v3, v2) = v1) |  ~ (lookup_slb(v3, v2) = v0))
% 14.17/3.83  | (116)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, v1, bad) = v2) |  ? [v3] : ( ~ (v3 = 0) & ok(v2) = v3))
% 14.17/3.83  | (117)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (check_cpq(v2) = v1) |  ~ (check_cpq(v2) = v0))
% 14.17/3.83  | (118)  ! [v0] :  ! [v1] : ( ~ (removemin_cpq_eff(v0) = v1) |  ? [v2] :  ? [v3] : (findmin_cpq_res(v0) = v3 & findmin_cpq_eff(v0) = v2 & remove_cpq(v2, v3) = v1))
% 14.17/3.83  | (119)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_slb(v3, v2) = v1) |  ~ (insert_slb(v3, v2) = v0))
% 14.17/3.83  | (120)  ! [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)))
% 14.17/3.83  | (121)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (update_slb(v0, v1) = v2) |  ~ (strictly_less_than(v3, v4) = 0) |  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : ((v8 = 0 & v7 = 0 & pair_in_list(v2, v5, v6) = 0 & strictly_less_than(v5, v6) = 0) | ( ~ (v5 = 0) & pair_in_list(v0, v3, v4) = v5)))
% 14.17/3.83  | (122)  ! [v0] :  ! [v1] : ( ~ (less_than(v0, v1) = 0) |  ? [v2] : ((v2 = 0 & strictly_less_than(v0, v1) = 0) | (v2 = 0 & less_than(v1, v0) = 0)))
% 14.17/3.83  | (123)  ! [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))))
% 14.17/3.83  | (124) findmin_cpq_eff(all_0_2_2) = all_0_0_0
% 14.17/3.83  | (125)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (pair_in_list(v4, v1, v2) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4))
% 14.17/3.83  |
% 14.17/3.83  | Instantiating formula (37) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms triple(all_0_5_5, all_0_4_4, all_0_3_3) = all_0_2_2, yields:
% 14.17/3.83  | (126)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v2 = 0 &  ~ (v3 = 0) & pair_in_list(all_0_4_4, v0, v1) = 0 & less_than(v1, v0) = v3) | (v0 = 0 & check_cpq(all_0_2_2) = 0))
% 14.17/3.83  |
% 14.17/3.83  | Instantiating formula (123) with all_0_0_0, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms triple(all_0_5_5, all_0_4_4, all_0_3_3) = all_0_2_2, findmin_cpq_eff(all_0_2_2) = all_0_0_0, yields:
% 14.17/3.83  | (127) all_0_4_4 = create_slb |  ? [v0] :  ? [v1] :  ? [v2] : (findmin_pqp_res(all_0_5_5) = v0 & ((v2 = all_0_0_0 & triple(all_0_5_5, v1, all_0_3_3) = all_0_0_0 & update_slb(all_0_4_4, v0) = v1) | ( ~ (v2 = 0) & lookup_slb(all_0_4_4, v0) = v1 & less_than(v1, v0) = v2) | ( ~ (v1 = 0) & contains_slb(all_0_4_4, v0) = v1)))
% 14.17/3.83  |
% 14.17/3.83  | Instantiating formula (19) with all_0_0_0, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms triple(all_0_5_5, all_0_4_4, all_0_3_3) = all_0_2_2, findmin_cpq_eff(all_0_2_2) = all_0_0_0, yields:
% 14.17/3.83  | (128) all_0_4_4 = create_slb |  ? [v0] :  ? [v1] :  ? [v2] : (findmin_pqp_res(all_0_5_5) = v0 & ((v2 = all_0_0_0 & triple(all_0_5_5, v1, bad) = all_0_0_0 & update_slb(all_0_4_4, v0) = v1) | (v1 = 0 & contains_slb(all_0_4_4, v0) = 0)))
% 14.17/3.83  |
% 14.17/3.83  | Instantiating formula (73) with all_0_0_0, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms triple(all_0_5_5, all_0_4_4, all_0_3_3) = all_0_2_2, findmin_cpq_eff(all_0_2_2) = all_0_0_0, yields:
% 14.17/3.83  | (129) all_0_4_4 = create_slb |  ? [v0] :  ? [v1] :  ? [v2] : (findmin_pqp_res(all_0_5_5) = v0 & ((v2 = all_0_0_0 & triple(all_0_5_5, v1, bad) = all_0_0_0 & update_slb(all_0_4_4, v0) = v1) | ( ~ (v2 = 0) & lookup_slb(all_0_4_4, v0) = v1 & strictly_less_than(v0, v1) = v2) | ( ~ (v1 = 0) & contains_slb(all_0_4_4, v0) = v1)))
% 14.17/3.83  |
% 14.17/3.83  | Instantiating formula (4) with all_0_0_0, all_0_2_2 and discharging atoms findmin_cpq_eff(all_0_2_2) = all_0_0_0, yields:
% 14.17/3.83  | (130)  ? [v0] :  ? [v1] : (findmin_cpq_res(all_0_2_2) = v1 & removemin_cpq_eff(all_0_2_2) = v0 & remove_cpq(all_0_0_0, v1) = v0)
% 14.17/3.83  |
% 14.17/3.83  | Instantiating (130) with all_56_0_73, all_56_1_74 yields:
% 14.17/3.83  | (131) findmin_cpq_res(all_0_2_2) = all_56_0_73 & removemin_cpq_eff(all_0_2_2) = all_56_1_74 & remove_cpq(all_0_0_0, all_56_0_73) = all_56_1_74
% 14.17/3.83  |
% 14.17/3.83  | Applying alpha-rule on (131) yields:
% 14.17/3.83  | (132) findmin_cpq_res(all_0_2_2) = all_56_0_73
% 14.17/3.83  | (133) removemin_cpq_eff(all_0_2_2) = all_56_1_74
% 14.17/3.83  | (134) remove_cpq(all_0_0_0, all_56_0_73) = all_56_1_74
% 14.17/3.83  |
% 14.17/3.83  | Instantiating (126) with all_58_0_75, all_58_1_76, all_58_2_77, all_58_3_78 yields:
% 14.17/3.83  | (135) (all_58_1_76 = 0 &  ~ (all_58_0_75 = 0) & pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = 0 & less_than(all_58_2_77, all_58_3_78) = all_58_0_75) | (all_58_3_78 = 0 & check_cpq(all_0_2_2) = 0)
% 14.17/3.83  |
% 14.17/3.83  +-Applying beta-rule and splitting (135), into two cases.
% 14.17/3.83  |-Branch one:
% 14.17/3.83  | (136) all_58_1_76 = 0 &  ~ (all_58_0_75 = 0) & pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = 0 & less_than(all_58_2_77, all_58_3_78) = all_58_0_75
% 14.17/3.83  |
% 14.17/3.83  	| Applying alpha-rule on (136) yields:
% 14.17/3.83  	| (137) all_58_1_76 = 0
% 14.17/3.83  	| (138)  ~ (all_58_0_75 = 0)
% 14.17/3.83  	| (139) pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = 0
% 14.17/3.83  	| (140) less_than(all_58_2_77, all_58_3_78) = all_58_0_75
% 14.17/3.83  	|
% 14.17/3.83  	| Instantiating formula (104) with all_56_0_73, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms findmin_cpq_res(all_0_2_2) = all_56_0_73, triple(all_0_5_5, all_0_4_4, all_0_3_3) = all_0_2_2, yields:
% 14.17/3.83  	| (141) all_0_4_4 = create_slb | findmin_pqp_res(all_0_5_5) = all_56_0_73
% 14.17/3.83  	|
% 14.17/3.83  	| Instantiating formula (51) with all_58_0_75, all_58_2_77, all_58_3_78 and discharging atoms less_than(all_58_2_77, all_58_3_78) = all_58_0_75, yields:
% 14.17/3.83  	| (142) all_58_0_75 = 0 | less_than(all_58_3_78, all_58_2_77) = 0
% 14.17/3.83  	|
% 14.17/3.83  	| Instantiating formula (113) with all_58_0_75, all_58_2_77, all_58_3_78 and discharging atoms less_than(all_58_2_77, all_58_3_78) = all_58_0_75, yields:
% 14.17/3.83  	| (143) all_58_0_75 = 0 |  ? [v0] : ((v0 = 0 & strictly_less_than(all_58_3_78, all_58_2_77) = 0) | ( ~ (v0 = 0) & less_than(all_58_3_78, all_58_2_77) = v0))
% 14.17/3.83  	|
% 14.17/3.83  	+-Applying beta-rule and splitting (142), into two cases.
% 14.17/3.83  	|-Branch one:
% 14.17/3.83  	| (144) less_than(all_58_3_78, all_58_2_77) = 0
% 14.17/3.83  	|
% 14.17/3.83  		+-Applying beta-rule and splitting (143), into two cases.
% 14.17/3.83  		|-Branch one:
% 14.17/3.83  		| (145) all_58_0_75 = 0
% 14.17/3.83  		|
% 14.17/3.83  			| Equations (145) can reduce 138 to:
% 14.17/3.83  			| (146) $false
% 14.17/3.83  			|
% 14.17/3.83  			|-The branch is then unsatisfiable
% 14.17/3.83  		|-Branch two:
% 14.17/3.83  		| (138)  ~ (all_58_0_75 = 0)
% 14.17/3.83  		| (148)  ? [v0] : ((v0 = 0 & strictly_less_than(all_58_3_78, all_58_2_77) = 0) | ( ~ (v0 = 0) & less_than(all_58_3_78, all_58_2_77) = v0))
% 14.17/3.83  		|
% 14.17/3.83  			| Instantiating (148) with all_83_0_81 yields:
% 14.17/3.83  			| (149) (all_83_0_81 = 0 & strictly_less_than(all_58_3_78, all_58_2_77) = 0) | ( ~ (all_83_0_81 = 0) & less_than(all_58_3_78, all_58_2_77) = all_83_0_81)
% 14.17/3.83  			|
% 14.17/3.83  			+-Applying beta-rule and splitting (149), into two cases.
% 14.17/3.83  			|-Branch one:
% 14.17/3.83  			| (150) all_83_0_81 = 0 & strictly_less_than(all_58_3_78, all_58_2_77) = 0
% 14.17/3.83  			|
% 14.17/3.83  				| Applying alpha-rule on (150) yields:
% 14.17/3.83  				| (151) all_83_0_81 = 0
% 14.17/3.83  				| (152) strictly_less_than(all_58_3_78, all_58_2_77) = 0
% 14.17/3.84  				|
% 14.17/3.84  				+-Applying beta-rule and splitting (128), into two cases.
% 14.17/3.84  				|-Branch one:
% 14.17/3.84  				| (153) all_0_4_4 = create_slb
% 14.17/3.84  				|
% 14.17/3.84  					| From (153) and (139) follows:
% 14.17/3.84  					| (154) pair_in_list(create_slb, all_58_3_78, all_58_2_77) = 0
% 14.17/3.84  					|
% 14.17/3.84  					| Instantiating formula (80) with all_58_2_77, all_58_3_78 and discharging atoms pair_in_list(create_slb, all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.84  					| (155) $false
% 14.17/3.84  					|
% 14.17/3.84  					|-The branch is then unsatisfiable
% 14.17/3.84  				|-Branch two:
% 14.17/3.84  				| (156)  ~ (all_0_4_4 = create_slb)
% 14.17/3.84  				| (157)  ? [v0] :  ? [v1] :  ? [v2] : (findmin_pqp_res(all_0_5_5) = v0 & ((v2 = all_0_0_0 & triple(all_0_5_5, v1, bad) = all_0_0_0 & update_slb(all_0_4_4, v0) = v1) | (v1 = 0 & contains_slb(all_0_4_4, v0) = 0)))
% 14.17/3.84  				|
% 14.17/3.84  					| Instantiating (157) with all_99_0_83, all_99_1_84, all_99_2_85 yields:
% 14.17/3.84  					| (158) findmin_pqp_res(all_0_5_5) = all_99_2_85 & ((all_99_0_83 = all_0_0_0 & triple(all_0_5_5, all_99_1_84, bad) = all_0_0_0 & update_slb(all_0_4_4, all_99_2_85) = all_99_1_84) | (all_99_1_84 = 0 & contains_slb(all_0_4_4, all_99_2_85) = 0))
% 14.17/3.84  					|
% 14.17/3.84  					| Applying alpha-rule on (158) yields:
% 14.17/3.84  					| (159) findmin_pqp_res(all_0_5_5) = all_99_2_85
% 14.17/3.84  					| (160) (all_99_0_83 = all_0_0_0 & triple(all_0_5_5, all_99_1_84, bad) = all_0_0_0 & update_slb(all_0_4_4, all_99_2_85) = all_99_1_84) | (all_99_1_84 = 0 & contains_slb(all_0_4_4, all_99_2_85) = 0)
% 14.17/3.84  					|
% 14.17/3.84  					+-Applying beta-rule and splitting (141), into two cases.
% 14.17/3.84  					|-Branch one:
% 14.17/3.84  					| (161) findmin_pqp_res(all_0_5_5) = all_56_0_73
% 14.17/3.84  					|
% 14.17/3.84  						+-Applying beta-rule and splitting (129), into two cases.
% 14.17/3.84  						|-Branch one:
% 14.17/3.84  						| (153) all_0_4_4 = create_slb
% 14.17/3.84  						|
% 14.17/3.84  							| Equations (153) can reduce 156 to:
% 14.17/3.84  							| (146) $false
% 14.17/3.84  							|
% 14.17/3.84  							|-The branch is then unsatisfiable
% 14.17/3.84  						|-Branch two:
% 14.17/3.84  						| (156)  ~ (all_0_4_4 = create_slb)
% 14.17/3.84  						| (165)  ? [v0] :  ? [v1] :  ? [v2] : (findmin_pqp_res(all_0_5_5) = v0 & ((v2 = all_0_0_0 & triple(all_0_5_5, v1, bad) = all_0_0_0 & update_slb(all_0_4_4, v0) = v1) | ( ~ (v2 = 0) & lookup_slb(all_0_4_4, v0) = v1 & strictly_less_than(v0, v1) = v2) | ( ~ (v1 = 0) & contains_slb(all_0_4_4, v0) = v1)))
% 14.17/3.84  						|
% 14.17/3.84  							| Instantiating (165) with all_108_0_86, all_108_1_87, all_108_2_88 yields:
% 14.17/3.84  							| (166) findmin_pqp_res(all_0_5_5) = all_108_2_88 & ((all_108_0_86 = all_0_0_0 & triple(all_0_5_5, all_108_1_87, bad) = all_0_0_0 & update_slb(all_0_4_4, all_108_2_88) = all_108_1_87) | ( ~ (all_108_0_86 = 0) & lookup_slb(all_0_4_4, all_108_2_88) = all_108_1_87 & strictly_less_than(all_108_2_88, all_108_1_87) = all_108_0_86) | ( ~ (all_108_1_87 = 0) & contains_slb(all_0_4_4, all_108_2_88) = all_108_1_87))
% 14.17/3.84  							|
% 14.17/3.84  							| Applying alpha-rule on (166) yields:
% 14.17/3.84  							| (167) findmin_pqp_res(all_0_5_5) = all_108_2_88
% 14.17/3.84  							| (168) (all_108_0_86 = all_0_0_0 & triple(all_0_5_5, all_108_1_87, bad) = all_0_0_0 & update_slb(all_0_4_4, all_108_2_88) = all_108_1_87) | ( ~ (all_108_0_86 = 0) & lookup_slb(all_0_4_4, all_108_2_88) = all_108_1_87 & strictly_less_than(all_108_2_88, all_108_1_87) = all_108_0_86) | ( ~ (all_108_1_87 = 0) & contains_slb(all_0_4_4, all_108_2_88) = all_108_1_87)
% 14.17/3.84  							|
% 14.17/3.84  							+-Applying beta-rule and splitting (127), into two cases.
% 14.17/3.84  							|-Branch one:
% 14.17/3.84  							| (153) all_0_4_4 = create_slb
% 14.17/3.84  							|
% 14.17/3.84  								| Equations (153) can reduce 156 to:
% 14.17/3.84  								| (146) $false
% 14.17/3.84  								|
% 14.17/3.84  								|-The branch is then unsatisfiable
% 14.17/3.84  							|-Branch two:
% 14.17/3.84  							| (156)  ~ (all_0_4_4 = create_slb)
% 14.17/3.84  							| (172)  ? [v0] :  ? [v1] :  ? [v2] : (findmin_pqp_res(all_0_5_5) = v0 & ((v2 = all_0_0_0 & triple(all_0_5_5, v1, all_0_3_3) = all_0_0_0 & update_slb(all_0_4_4, v0) = v1) | ( ~ (v2 = 0) & lookup_slb(all_0_4_4, v0) = v1 & less_than(v1, v0) = v2) | ( ~ (v1 = 0) & contains_slb(all_0_4_4, v0) = v1)))
% 14.17/3.84  							|
% 14.17/3.84  								| Instantiating (172) with all_113_0_89, all_113_1_90, all_113_2_91 yields:
% 14.17/3.84  								| (173) findmin_pqp_res(all_0_5_5) = all_113_2_91 & ((all_113_0_89 = all_0_0_0 & triple(all_0_5_5, all_113_1_90, all_0_3_3) = all_0_0_0 & update_slb(all_0_4_4, all_113_2_91) = all_113_1_90) | ( ~ (all_113_0_89 = 0) & lookup_slb(all_0_4_4, all_113_2_91) = all_113_1_90 & less_than(all_113_1_90, all_113_2_91) = all_113_0_89) | ( ~ (all_113_1_90 = 0) & contains_slb(all_0_4_4, all_113_2_91) = all_113_1_90))
% 14.17/3.84  								|
% 14.17/3.84  								| Applying alpha-rule on (173) yields:
% 14.17/3.84  								| (174) findmin_pqp_res(all_0_5_5) = all_113_2_91
% 14.17/3.84  								| (175) (all_113_0_89 = all_0_0_0 & triple(all_0_5_5, all_113_1_90, all_0_3_3) = all_0_0_0 & update_slb(all_0_4_4, all_113_2_91) = all_113_1_90) | ( ~ (all_113_0_89 = 0) & lookup_slb(all_0_4_4, all_113_2_91) = all_113_1_90 & less_than(all_113_1_90, all_113_2_91) = all_113_0_89) | ( ~ (all_113_1_90 = 0) & contains_slb(all_0_4_4, all_113_2_91) = all_113_1_90)
% 14.17/3.84  								|
% 14.17/3.84  								| Instantiating formula (114) with all_0_5_5, all_108_2_88, all_113_2_91 and discharging atoms findmin_pqp_res(all_0_5_5) = all_113_2_91, findmin_pqp_res(all_0_5_5) = all_108_2_88, yields:
% 14.17/3.84  								| (176) all_113_2_91 = all_108_2_88
% 14.17/3.84  								|
% 14.17/3.84  								| Instantiating formula (114) with all_0_5_5, all_99_2_85, all_108_2_88 and discharging atoms findmin_pqp_res(all_0_5_5) = all_108_2_88, findmin_pqp_res(all_0_5_5) = all_99_2_85, yields:
% 14.17/3.84  								| (177) all_108_2_88 = all_99_2_85
% 14.17/3.84  								|
% 14.17/3.84  								| Instantiating formula (114) with all_0_5_5, all_56_0_73, all_113_2_91 and discharging atoms findmin_pqp_res(all_0_5_5) = all_113_2_91, findmin_pqp_res(all_0_5_5) = all_56_0_73, yields:
% 14.17/3.84  								| (178) all_113_2_91 = all_56_0_73
% 14.17/3.84  								|
% 14.17/3.84  								| Combining equations (176,178) yields a new equation:
% 14.17/3.84  								| (179) all_108_2_88 = all_56_0_73
% 14.17/3.84  								|
% 14.17/3.84  								| Simplifying 179 yields:
% 14.17/3.84  								| (180) all_108_2_88 = all_56_0_73
% 14.17/3.84  								|
% 14.17/3.84  								| Combining equations (180,177) yields a new equation:
% 14.17/3.84  								| (181) all_99_2_85 = all_56_0_73
% 14.17/3.84  								|
% 14.17/3.84  								| Combining equations (181,177) yields a new equation:
% 14.17/3.84  								| (180) all_108_2_88 = all_56_0_73
% 14.17/3.84  								|
% 14.17/3.84  								+-Applying beta-rule and splitting (160), into two cases.
% 14.17/3.84  								|-Branch one:
% 14.17/3.84  								| (183) all_99_0_83 = all_0_0_0 & triple(all_0_5_5, all_99_1_84, bad) = all_0_0_0 & update_slb(all_0_4_4, all_99_2_85) = all_99_1_84
% 14.17/3.84  								|
% 14.17/3.84  									| Applying alpha-rule on (183) yields:
% 14.17/3.84  									| (184) all_99_0_83 = all_0_0_0
% 14.17/3.84  									| (185) triple(all_0_5_5, all_99_1_84, bad) = all_0_0_0
% 14.17/3.84  									| (186) update_slb(all_0_4_4, all_99_2_85) = all_99_1_84
% 14.17/3.84  									|
% 14.17/3.84  									| From (181) and (186) follows:
% 14.17/3.84  									| (187) update_slb(all_0_4_4, all_56_0_73) = all_99_1_84
% 14.17/3.84  									|
% 14.17/3.84  									| Instantiating formula (44) with all_58_2_77, all_58_3_78, all_99_1_84, all_56_0_73, all_0_4_4 and discharging atoms update_slb(all_0_4_4, all_56_0_73) = all_99_1_84, pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.84  									| (188)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & v2 = 0 & pair_in_list(all_99_1_84, v0, v1) = 0 & strictly_less_than(v0, v1) = 0) | ( ~ (v0 = 0) & strictly_less_than(all_58_3_78, all_58_2_77) = v0))
% 14.17/3.84  									|
% 14.17/3.84  									| Instantiating formula (121) with all_58_2_77, all_58_3_78, all_99_1_84, all_56_0_73, all_0_4_4 and discharging atoms update_slb(all_0_4_4, all_56_0_73) = all_99_1_84, strictly_less_than(all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.84  									| (189)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & v2 = 0 & pair_in_list(all_99_1_84, v0, v1) = 0 & strictly_less_than(v0, v1) = 0) | ( ~ (v0 = 0) & pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = v0))
% 14.17/3.84  									|
% 14.17/3.84  									| Instantiating (189) with all_143_0_93, all_143_1_94, all_143_2_95, all_143_3_96 yields:
% 14.17/3.84  									| (190) (all_143_0_93 = 0 & all_143_1_94 = 0 & pair_in_list(all_99_1_84, all_143_3_96, all_143_2_95) = 0 & strictly_less_than(all_143_3_96, all_143_2_95) = 0) | ( ~ (all_143_3_96 = 0) & pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_143_3_96)
% 14.17/3.84  									|
% 14.17/3.84  									| Instantiating (188) with all_147_0_104, all_147_1_105, all_147_2_106, all_147_3_107 yields:
% 14.17/3.84  									| (191) (all_147_0_104 = 0 & all_147_1_105 = 0 & pair_in_list(all_99_1_84, all_147_3_107, all_147_2_106) = 0 & strictly_less_than(all_147_3_107, all_147_2_106) = 0) | ( ~ (all_147_3_107 = 0) & strictly_less_than(all_58_3_78, all_58_2_77) = all_147_3_107)
% 14.17/3.84  									|
% 14.17/3.84  									+-Applying beta-rule and splitting (191), into two cases.
% 14.17/3.84  									|-Branch one:
% 14.17/3.84  									| (192) all_147_0_104 = 0 & all_147_1_105 = 0 & pair_in_list(all_99_1_84, all_147_3_107, all_147_2_106) = 0 & strictly_less_than(all_147_3_107, all_147_2_106) = 0
% 14.17/3.84  									|
% 14.17/3.84  										| Applying alpha-rule on (192) yields:
% 14.17/3.84  										| (193) all_147_0_104 = 0
% 14.17/3.84  										| (194) all_147_1_105 = 0
% 14.17/3.84  										| (195) pair_in_list(all_99_1_84, all_147_3_107, all_147_2_106) = 0
% 14.17/3.84  										| (196) strictly_less_than(all_147_3_107, all_147_2_106) = 0
% 14.17/3.84  										|
% 14.17/3.84  										+-Applying beta-rule and splitting (190), into two cases.
% 14.17/3.84  										|-Branch one:
% 14.17/3.84  										| (197) all_143_0_93 = 0 & all_143_1_94 = 0 & pair_in_list(all_99_1_84, all_143_3_96, all_143_2_95) = 0 & strictly_less_than(all_143_3_96, all_143_2_95) = 0
% 14.17/3.84  										|
% 14.17/3.84  											| Applying alpha-rule on (197) yields:
% 14.17/3.84  											| (198) all_143_0_93 = 0
% 14.17/3.84  											| (199) all_143_1_94 = 0
% 14.17/3.84  											| (200) pair_in_list(all_99_1_84, all_143_3_96, all_143_2_95) = 0
% 14.17/3.84  											| (201) strictly_less_than(all_143_3_96, all_143_2_95) = 0
% 14.17/3.84  											|
% 14.17/3.84  											| Instantiating formula (52) with all_147_2_106, all_147_3_107, all_0_0_0, bad, all_99_1_84, all_0_5_5 and discharging atoms triple(all_0_5_5, all_99_1_84, bad) = all_0_0_0, pair_in_list(all_99_1_84, all_147_3_107, all_147_2_106) = 0, yields:
% 14.17/3.84  											| (202)  ? [v0] : ((v0 = 0 & less_than(all_147_2_106, all_147_3_107) = 0) | ( ~ (v0 = 0) & check_cpq(all_0_0_0) = v0))
% 14.17/3.84  											|
% 14.17/3.84  											| Instantiating formula (52) with all_143_2_95, all_143_3_96, all_0_0_0, bad, all_99_1_84, all_0_5_5 and discharging atoms triple(all_0_5_5, all_99_1_84, bad) = all_0_0_0, pair_in_list(all_99_1_84, all_143_3_96, all_143_2_95) = 0, yields:
% 14.17/3.84  											| (203)  ? [v0] : ((v0 = 0 & less_than(all_143_2_95, all_143_3_96) = 0) | ( ~ (v0 = 0) & check_cpq(all_0_0_0) = v0))
% 14.17/3.84  											|
% 14.17/3.84  											| Instantiating formula (95) with all_147_2_106, all_147_3_107 and discharging atoms strictly_less_than(all_147_3_107, all_147_2_106) = 0, yields:
% 14.17/3.85  											| (204)  ? [v0] : ( ~ (v0 = 0) & less_than(all_147_2_106, all_147_3_107) = v0 & less_than(all_147_3_107, all_147_2_106) = 0)
% 14.17/3.85  											|
% 14.17/3.85  											| Instantiating formula (95) with all_143_2_95, all_143_3_96 and discharging atoms strictly_less_than(all_143_3_96, all_143_2_95) = 0, yields:
% 14.17/3.85  											| (205)  ? [v0] : ( ~ (v0 = 0) & less_than(all_143_2_95, all_143_3_96) = v0 & less_than(all_143_3_96, all_143_2_95) = 0)
% 14.17/3.85  											|
% 14.17/3.85  											| Instantiating (205) with all_176_0_118 yields:
% 14.17/3.85  											| (206)  ~ (all_176_0_118 = 0) & less_than(all_143_2_95, all_143_3_96) = all_176_0_118 & less_than(all_143_3_96, all_143_2_95) = 0
% 14.17/3.85  											|
% 14.17/3.85  											| Applying alpha-rule on (206) yields:
% 14.17/3.85  											| (207)  ~ (all_176_0_118 = 0)
% 14.17/3.85  											| (208) less_than(all_143_2_95, all_143_3_96) = all_176_0_118
% 14.17/3.85  											| (209) less_than(all_143_3_96, all_143_2_95) = 0
% 14.17/3.85  											|
% 14.17/3.85  											| Instantiating (204) with all_178_0_119 yields:
% 14.17/3.85  											| (210)  ~ (all_178_0_119 = 0) & less_than(all_147_2_106, all_147_3_107) = all_178_0_119 & less_than(all_147_3_107, all_147_2_106) = 0
% 14.17/3.85  											|
% 14.17/3.85  											| Applying alpha-rule on (210) yields:
% 14.17/3.85  											| (211)  ~ (all_178_0_119 = 0)
% 14.17/3.85  											| (212) less_than(all_147_2_106, all_147_3_107) = all_178_0_119
% 14.17/3.85  											| (213) less_than(all_147_3_107, all_147_2_106) = 0
% 14.17/3.85  											|
% 14.17/3.85  											| Instantiating (203) with all_180_0_120 yields:
% 14.17/3.85  											| (214) (all_180_0_120 = 0 & less_than(all_143_2_95, all_143_3_96) = 0) | ( ~ (all_180_0_120 = 0) & check_cpq(all_0_0_0) = all_180_0_120)
% 14.17/3.85  											|
% 14.17/3.85  											| Instantiating (202) with all_181_0_121 yields:
% 14.17/3.85  											| (215) (all_181_0_121 = 0 & less_than(all_147_2_106, all_147_3_107) = 0) | ( ~ (all_181_0_121 = 0) & check_cpq(all_0_0_0) = all_181_0_121)
% 14.17/3.85  											|
% 14.17/3.85  											+-Applying beta-rule and splitting (214), into two cases.
% 14.17/3.85  											|-Branch one:
% 14.17/3.85  											| (216) all_180_0_120 = 0 & less_than(all_143_2_95, all_143_3_96) = 0
% 14.17/3.85  											|
% 14.17/3.85  												| Applying alpha-rule on (216) yields:
% 14.17/3.85  												| (217) all_180_0_120 = 0
% 14.17/3.85  												| (218) less_than(all_143_2_95, all_143_3_96) = 0
% 14.17/3.85  												|
% 14.17/3.85  												| Instantiating formula (94) with all_143_2_95, all_143_3_96, 0, all_176_0_118 and discharging atoms less_than(all_143_2_95, all_143_3_96) = all_176_0_118, less_than(all_143_2_95, all_143_3_96) = 0, yields:
% 14.17/3.85  												| (219) all_176_0_118 = 0
% 14.17/3.85  												|
% 14.17/3.85  												| Equations (219) can reduce 207 to:
% 14.17/3.85  												| (146) $false
% 14.17/3.85  												|
% 14.17/3.85  												|-The branch is then unsatisfiable
% 14.17/3.85  											|-Branch two:
% 14.17/3.85  											| (221)  ~ (all_180_0_120 = 0) & check_cpq(all_0_0_0) = all_180_0_120
% 14.17/3.85  											|
% 14.17/3.85  												| Applying alpha-rule on (221) yields:
% 14.17/3.85  												| (222)  ~ (all_180_0_120 = 0)
% 14.17/3.85  												| (223) check_cpq(all_0_0_0) = all_180_0_120
% 14.17/3.85  												|
% 14.17/3.85  												+-Applying beta-rule and splitting (215), into two cases.
% 14.17/3.85  												|-Branch one:
% 14.17/3.85  												| (224) all_181_0_121 = 0 & less_than(all_147_2_106, all_147_3_107) = 0
% 14.17/3.85  												|
% 14.17/3.85  													| Applying alpha-rule on (224) yields:
% 14.17/3.85  													| (225) all_181_0_121 = 0
% 14.17/3.85  													| (226) less_than(all_147_2_106, all_147_3_107) = 0
% 14.17/3.85  													|
% 14.17/3.85  													| Instantiating formula (94) with all_147_2_106, all_147_3_107, 0, all_178_0_119 and discharging atoms less_than(all_147_2_106, all_147_3_107) = all_178_0_119, less_than(all_147_2_106, all_147_3_107) = 0, yields:
% 14.17/3.85  													| (227) all_178_0_119 = 0
% 14.17/3.85  													|
% 14.17/3.85  													| Equations (227) can reduce 211 to:
% 14.17/3.85  													| (146) $false
% 14.17/3.85  													|
% 14.17/3.85  													|-The branch is then unsatisfiable
% 14.17/3.85  												|-Branch two:
% 14.17/3.85  												| (229)  ~ (all_181_0_121 = 0) & check_cpq(all_0_0_0) = all_181_0_121
% 14.17/3.85  												|
% 14.17/3.85  													| Applying alpha-rule on (229) yields:
% 14.17/3.85  													| (230)  ~ (all_181_0_121 = 0)
% 14.17/3.85  													| (231) check_cpq(all_0_0_0) = all_181_0_121
% 14.17/3.85  													|
% 14.17/3.85  													| Instantiating formula (117) with all_0_0_0, all_181_0_121, 0 and discharging atoms check_cpq(all_0_0_0) = all_181_0_121, check_cpq(all_0_0_0) = 0, yields:
% 14.17/3.85  													| (225) all_181_0_121 = 0
% 14.17/3.85  													|
% 14.17/3.85  													| Instantiating formula (117) with all_0_0_0, all_180_0_120, all_181_0_121 and discharging atoms check_cpq(all_0_0_0) = all_181_0_121, check_cpq(all_0_0_0) = all_180_0_120, yields:
% 14.17/3.85  													| (233) all_181_0_121 = all_180_0_120
% 14.17/3.85  													|
% 14.17/3.85  													| Combining equations (225,233) yields a new equation:
% 14.17/3.85  													| (217) all_180_0_120 = 0
% 14.17/3.85  													|
% 14.17/3.85  													| Equations (217) can reduce 222 to:
% 14.17/3.85  													| (146) $false
% 14.17/3.85  													|
% 14.17/3.85  													|-The branch is then unsatisfiable
% 14.17/3.85  										|-Branch two:
% 14.17/3.85  										| (236)  ~ (all_143_3_96 = 0) & pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_143_3_96
% 14.17/3.85  										|
% 14.17/3.85  											| Applying alpha-rule on (236) yields:
% 14.17/3.85  											| (237)  ~ (all_143_3_96 = 0)
% 14.17/3.85  											| (238) pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_143_3_96
% 14.17/3.85  											|
% 14.17/3.85  											| Instantiating formula (101) with all_0_4_4, all_58_3_78, all_58_2_77, all_143_3_96, 0 and discharging atoms pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_143_3_96, pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.85  											| (239) all_143_3_96 = 0
% 14.17/3.85  											|
% 14.17/3.85  											| Equations (239) can reduce 237 to:
% 14.17/3.85  											| (146) $false
% 14.17/3.85  											|
% 14.17/3.85  											|-The branch is then unsatisfiable
% 14.17/3.85  									|-Branch two:
% 14.17/3.85  									| (241)  ~ (all_147_3_107 = 0) & strictly_less_than(all_58_3_78, all_58_2_77) = all_147_3_107
% 14.17/3.85  									|
% 14.17/3.85  										| Applying alpha-rule on (241) yields:
% 14.17/3.85  										| (242)  ~ (all_147_3_107 = 0)
% 14.17/3.85  										| (243) strictly_less_than(all_58_3_78, all_58_2_77) = all_147_3_107
% 14.17/3.85  										|
% 14.17/3.85  										| Instantiating formula (57) with all_58_3_78, all_58_2_77, all_147_3_107, 0 and discharging atoms strictly_less_than(all_58_3_78, all_58_2_77) = all_147_3_107, strictly_less_than(all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.85  										| (244) all_147_3_107 = 0
% 14.17/3.85  										|
% 14.17/3.85  										| Equations (244) can reduce 242 to:
% 14.17/3.85  										| (146) $false
% 14.17/3.85  										|
% 14.17/3.85  										|-The branch is then unsatisfiable
% 14.17/3.85  								|-Branch two:
% 14.17/3.85  								| (246) all_99_1_84 = 0 & contains_slb(all_0_4_4, all_99_2_85) = 0
% 14.17/3.85  								|
% 14.17/3.85  									| Applying alpha-rule on (246) yields:
% 14.17/3.85  									| (247) all_99_1_84 = 0
% 14.17/3.85  									| (248) contains_slb(all_0_4_4, all_99_2_85) = 0
% 14.17/3.85  									|
% 14.17/3.85  									| From (181) and (248) follows:
% 14.17/3.85  									| (249) contains_slb(all_0_4_4, all_56_0_73) = 0
% 14.17/3.85  									|
% 14.17/3.85  									+-Applying beta-rule and splitting (168), into two cases.
% 14.17/3.85  									|-Branch one:
% 14.17/3.85  									| (250) (all_108_0_86 = all_0_0_0 & triple(all_0_5_5, all_108_1_87, bad) = all_0_0_0 & update_slb(all_0_4_4, all_108_2_88) = all_108_1_87) | ( ~ (all_108_0_86 = 0) & lookup_slb(all_0_4_4, all_108_2_88) = all_108_1_87 & strictly_less_than(all_108_2_88, all_108_1_87) = all_108_0_86)
% 14.17/3.85  									|
% 14.17/3.85  										+-Applying beta-rule and splitting (250), into two cases.
% 14.17/3.85  										|-Branch one:
% 14.17/3.85  										| (251) all_108_0_86 = all_0_0_0 & triple(all_0_5_5, all_108_1_87, bad) = all_0_0_0 & update_slb(all_0_4_4, all_108_2_88) = all_108_1_87
% 14.17/3.85  										|
% 14.17/3.85  											| Applying alpha-rule on (251) yields:
% 14.17/3.85  											| (252) all_108_0_86 = all_0_0_0
% 14.17/3.85  											| (253) triple(all_0_5_5, all_108_1_87, bad) = all_0_0_0
% 14.17/3.85  											| (254) update_slb(all_0_4_4, all_108_2_88) = all_108_1_87
% 14.17/3.85  											|
% 14.17/3.85  											| From (180) and (254) follows:
% 14.17/3.85  											| (255) update_slb(all_0_4_4, all_56_0_73) = all_108_1_87
% 14.17/3.85  											|
% 14.17/3.85  											| Instantiating formula (44) with all_58_2_77, all_58_3_78, all_108_1_87, all_56_0_73, all_0_4_4 and discharging atoms update_slb(all_0_4_4, all_56_0_73) = all_108_1_87, pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.85  											| (256)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & v2 = 0 & pair_in_list(all_108_1_87, v0, v1) = 0 & strictly_less_than(v0, v1) = 0) | ( ~ (v0 = 0) & strictly_less_than(all_58_3_78, all_58_2_77) = v0))
% 14.17/3.85  											|
% 14.17/3.85  											| Instantiating formula (121) with all_58_2_77, all_58_3_78, all_108_1_87, all_56_0_73, all_0_4_4 and discharging atoms update_slb(all_0_4_4, all_56_0_73) = all_108_1_87, strictly_less_than(all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.85  											| (257)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & v2 = 0 & pair_in_list(all_108_1_87, v0, v1) = 0 & strictly_less_than(v0, v1) = 0) | ( ~ (v0 = 0) & pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = v0))
% 14.17/3.85  											|
% 14.17/3.85  											| Instantiating (257) with all_150_0_136, all_150_1_137, all_150_2_138, all_150_3_139 yields:
% 14.17/3.85  											| (258) (all_150_0_136 = 0 & all_150_1_137 = 0 & pair_in_list(all_108_1_87, all_150_3_139, all_150_2_138) = 0 & strictly_less_than(all_150_3_139, all_150_2_138) = 0) | ( ~ (all_150_3_139 = 0) & pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_150_3_139)
% 14.17/3.85  											|
% 14.17/3.85  											| Instantiating (256) with all_156_0_149, all_156_1_150, all_156_2_151, all_156_3_152 yields:
% 14.17/3.85  											| (259) (all_156_0_149 = 0 & all_156_1_150 = 0 & pair_in_list(all_108_1_87, all_156_3_152, all_156_2_151) = 0 & strictly_less_than(all_156_3_152, all_156_2_151) = 0) | ( ~ (all_156_3_152 = 0) & strictly_less_than(all_58_3_78, all_58_2_77) = all_156_3_152)
% 14.17/3.85  											|
% 14.17/3.85  											+-Applying beta-rule and splitting (259), into two cases.
% 14.17/3.85  											|-Branch one:
% 14.17/3.85  											| (260) all_156_0_149 = 0 & all_156_1_150 = 0 & pair_in_list(all_108_1_87, all_156_3_152, all_156_2_151) = 0 & strictly_less_than(all_156_3_152, all_156_2_151) = 0
% 14.17/3.85  											|
% 14.17/3.85  												| Applying alpha-rule on (260) yields:
% 14.17/3.85  												| (261) all_156_0_149 = 0
% 14.17/3.85  												| (262) all_156_1_150 = 0
% 14.17/3.85  												| (263) pair_in_list(all_108_1_87, all_156_3_152, all_156_2_151) = 0
% 14.17/3.85  												| (264) strictly_less_than(all_156_3_152, all_156_2_151) = 0
% 14.17/3.85  												|
% 14.17/3.85  												+-Applying beta-rule and splitting (258), into two cases.
% 14.17/3.85  												|-Branch one:
% 14.17/3.85  												| (265) all_150_0_136 = 0 & all_150_1_137 = 0 & pair_in_list(all_108_1_87, all_150_3_139, all_150_2_138) = 0 & strictly_less_than(all_150_3_139, all_150_2_138) = 0
% 14.17/3.85  												|
% 14.17/3.85  													| Applying alpha-rule on (265) yields:
% 14.17/3.85  													| (266) all_150_0_136 = 0
% 14.17/3.85  													| (267) all_150_1_137 = 0
% 14.17/3.85  													| (268) pair_in_list(all_108_1_87, all_150_3_139, all_150_2_138) = 0
% 14.17/3.85  													| (269) strictly_less_than(all_150_3_139, all_150_2_138) = 0
% 14.17/3.85  													|
% 14.17/3.85  													| Instantiating formula (52) with all_156_2_151, all_156_3_152, all_0_0_0, bad, all_108_1_87, all_0_5_5 and discharging atoms triple(all_0_5_5, all_108_1_87, bad) = all_0_0_0, pair_in_list(all_108_1_87, all_156_3_152, all_156_2_151) = 0, yields:
% 14.17/3.85  													| (270)  ? [v0] : ((v0 = 0 & less_than(all_156_2_151, all_156_3_152) = 0) | ( ~ (v0 = 0) & check_cpq(all_0_0_0) = v0))
% 14.17/3.85  													|
% 14.17/3.85  													| Instantiating formula (52) with all_150_2_138, all_150_3_139, all_0_0_0, bad, all_108_1_87, all_0_5_5 and discharging atoms triple(all_0_5_5, all_108_1_87, bad) = all_0_0_0, pair_in_list(all_108_1_87, all_150_3_139, all_150_2_138) = 0, yields:
% 14.17/3.85  													| (271)  ? [v0] : ((v0 = 0 & less_than(all_150_2_138, all_150_3_139) = 0) | ( ~ (v0 = 0) & check_cpq(all_0_0_0) = v0))
% 14.17/3.85  													|
% 14.17/3.86  													| Instantiating formula (95) with all_156_2_151, all_156_3_152 and discharging atoms strictly_less_than(all_156_3_152, all_156_2_151) = 0, yields:
% 14.17/3.86  													| (272)  ? [v0] : ( ~ (v0 = 0) & less_than(all_156_2_151, all_156_3_152) = v0 & less_than(all_156_3_152, all_156_2_151) = 0)
% 14.17/3.86  													|
% 14.17/3.86  													| Instantiating formula (95) with all_150_2_138, all_150_3_139 and discharging atoms strictly_less_than(all_150_3_139, all_150_2_138) = 0, yields:
% 14.17/3.86  													| (273)  ? [v0] : ( ~ (v0 = 0) & less_than(all_150_2_138, all_150_3_139) = v0 & less_than(all_150_3_139, all_150_2_138) = 0)
% 14.17/3.86  													|
% 14.17/3.86  													| Instantiating (273) with all_183_0_159 yields:
% 14.17/3.86  													| (274)  ~ (all_183_0_159 = 0) & less_than(all_150_2_138, all_150_3_139) = all_183_0_159 & less_than(all_150_3_139, all_150_2_138) = 0
% 14.17/3.86  													|
% 14.17/3.86  													| Applying alpha-rule on (274) yields:
% 14.17/3.86  													| (275)  ~ (all_183_0_159 = 0)
% 14.17/3.86  													| (276) less_than(all_150_2_138, all_150_3_139) = all_183_0_159
% 14.17/3.86  													| (277) less_than(all_150_3_139, all_150_2_138) = 0
% 14.17/3.86  													|
% 14.17/3.86  													| Instantiating (272) with all_185_0_160 yields:
% 14.17/3.86  													| (278)  ~ (all_185_0_160 = 0) & less_than(all_156_2_151, all_156_3_152) = all_185_0_160 & less_than(all_156_3_152, all_156_2_151) = 0
% 14.17/3.86  													|
% 14.17/3.86  													| Applying alpha-rule on (278) yields:
% 14.17/3.86  													| (279)  ~ (all_185_0_160 = 0)
% 14.17/3.86  													| (280) less_than(all_156_2_151, all_156_3_152) = all_185_0_160
% 14.17/3.86  													| (281) less_than(all_156_3_152, all_156_2_151) = 0
% 14.17/3.86  													|
% 14.17/3.86  													| Instantiating (271) with all_187_0_161 yields:
% 14.17/3.86  													| (282) (all_187_0_161 = 0 & less_than(all_150_2_138, all_150_3_139) = 0) | ( ~ (all_187_0_161 = 0) & check_cpq(all_0_0_0) = all_187_0_161)
% 14.17/3.86  													|
% 14.17/3.86  													| Instantiating (270) with all_188_0_162 yields:
% 14.17/3.86  													| (283) (all_188_0_162 = 0 & less_than(all_156_2_151, all_156_3_152) = 0) | ( ~ (all_188_0_162 = 0) & check_cpq(all_0_0_0) = all_188_0_162)
% 14.17/3.86  													|
% 14.17/3.86  													+-Applying beta-rule and splitting (282), into two cases.
% 14.17/3.86  													|-Branch one:
% 14.17/3.86  													| (284) all_187_0_161 = 0 & less_than(all_150_2_138, all_150_3_139) = 0
% 14.17/3.86  													|
% 14.17/3.86  														| Applying alpha-rule on (284) yields:
% 14.17/3.86  														| (285) all_187_0_161 = 0
% 14.17/3.86  														| (286) less_than(all_150_2_138, all_150_3_139) = 0
% 14.17/3.86  														|
% 14.17/3.86  														| Instantiating formula (94) with all_150_2_138, all_150_3_139, 0, all_183_0_159 and discharging atoms less_than(all_150_2_138, all_150_3_139) = all_183_0_159, less_than(all_150_2_138, all_150_3_139) = 0, yields:
% 14.17/3.86  														| (287) all_183_0_159 = 0
% 14.17/3.86  														|
% 14.17/3.86  														| Equations (287) can reduce 275 to:
% 14.17/3.86  														| (146) $false
% 14.17/3.86  														|
% 14.17/3.86  														|-The branch is then unsatisfiable
% 14.17/3.86  													|-Branch two:
% 14.17/3.86  													| (289)  ~ (all_187_0_161 = 0) & check_cpq(all_0_0_0) = all_187_0_161
% 14.17/3.86  													|
% 14.17/3.86  														| Applying alpha-rule on (289) yields:
% 14.17/3.86  														| (290)  ~ (all_187_0_161 = 0)
% 14.17/3.86  														| (291) check_cpq(all_0_0_0) = all_187_0_161
% 14.17/3.86  														|
% 14.17/3.86  														+-Applying beta-rule and splitting (283), into two cases.
% 14.17/3.86  														|-Branch one:
% 14.17/3.86  														| (292) all_188_0_162 = 0 & less_than(all_156_2_151, all_156_3_152) = 0
% 14.17/3.86  														|
% 14.17/3.86  															| Applying alpha-rule on (292) yields:
% 14.17/3.86  															| (293) all_188_0_162 = 0
% 14.17/3.86  															| (294) less_than(all_156_2_151, all_156_3_152) = 0
% 14.17/3.86  															|
% 14.17/3.86  															| Instantiating formula (94) with all_156_2_151, all_156_3_152, 0, all_185_0_160 and discharging atoms less_than(all_156_2_151, all_156_3_152) = all_185_0_160, less_than(all_156_2_151, all_156_3_152) = 0, yields:
% 14.17/3.86  															| (295) all_185_0_160 = 0
% 14.17/3.86  															|
% 14.17/3.86  															| Equations (295) can reduce 279 to:
% 14.17/3.86  															| (146) $false
% 14.17/3.86  															|
% 14.17/3.86  															|-The branch is then unsatisfiable
% 14.17/3.86  														|-Branch two:
% 14.17/3.86  														| (297)  ~ (all_188_0_162 = 0) & check_cpq(all_0_0_0) = all_188_0_162
% 14.17/3.86  														|
% 14.17/3.86  															| Applying alpha-rule on (297) yields:
% 14.17/3.86  															| (298)  ~ (all_188_0_162 = 0)
% 14.17/3.86  															| (299) check_cpq(all_0_0_0) = all_188_0_162
% 14.17/3.86  															|
% 14.17/3.86  															| Instantiating formula (117) with all_0_0_0, all_188_0_162, 0 and discharging atoms check_cpq(all_0_0_0) = all_188_0_162, check_cpq(all_0_0_0) = 0, yields:
% 14.17/3.86  															| (293) all_188_0_162 = 0
% 14.17/3.86  															|
% 14.17/3.86  															| Instantiating formula (117) with all_0_0_0, all_187_0_161, all_188_0_162 and discharging atoms check_cpq(all_0_0_0) = all_188_0_162, check_cpq(all_0_0_0) = all_187_0_161, yields:
% 14.17/3.86  															| (301) all_188_0_162 = all_187_0_161
% 14.17/3.86  															|
% 14.17/3.86  															| Combining equations (293,301) yields a new equation:
% 14.17/3.86  															| (285) all_187_0_161 = 0
% 14.17/3.86  															|
% 14.17/3.86  															| Equations (285) can reduce 290 to:
% 14.17/3.86  															| (146) $false
% 14.17/3.86  															|
% 14.17/3.86  															|-The branch is then unsatisfiable
% 14.17/3.86  												|-Branch two:
% 14.17/3.86  												| (304)  ~ (all_150_3_139 = 0) & pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_150_3_139
% 14.17/3.86  												|
% 14.17/3.86  													| Applying alpha-rule on (304) yields:
% 14.17/3.86  													| (305)  ~ (all_150_3_139 = 0)
% 14.17/3.86  													| (306) pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_150_3_139
% 14.17/3.86  													|
% 14.17/3.86  													| Instantiating formula (101) with all_0_4_4, all_58_3_78, all_58_2_77, all_150_3_139, 0 and discharging atoms pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_150_3_139, pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.86  													| (307) all_150_3_139 = 0
% 14.17/3.86  													|
% 14.17/3.86  													| Equations (307) can reduce 305 to:
% 14.17/3.86  													| (146) $false
% 14.17/3.86  													|
% 14.17/3.86  													|-The branch is then unsatisfiable
% 14.17/3.86  											|-Branch two:
% 14.17/3.86  											| (309)  ~ (all_156_3_152 = 0) & strictly_less_than(all_58_3_78, all_58_2_77) = all_156_3_152
% 14.17/3.86  											|
% 14.17/3.86  												| Applying alpha-rule on (309) yields:
% 14.17/3.86  												| (310)  ~ (all_156_3_152 = 0)
% 14.17/3.86  												| (311) strictly_less_than(all_58_3_78, all_58_2_77) = all_156_3_152
% 14.17/3.86  												|
% 14.17/3.86  												| Instantiating formula (57) with all_58_3_78, all_58_2_77, all_156_3_152, 0 and discharging atoms strictly_less_than(all_58_3_78, all_58_2_77) = all_156_3_152, strictly_less_than(all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.86  												| (312) all_156_3_152 = 0
% 14.17/3.86  												|
% 14.17/3.86  												| Equations (312) can reduce 310 to:
% 14.17/3.86  												| (146) $false
% 14.17/3.86  												|
% 14.17/3.86  												|-The branch is then unsatisfiable
% 14.17/3.86  										|-Branch two:
% 14.17/3.86  										| (314)  ~ (all_108_0_86 = 0) & lookup_slb(all_0_4_4, all_108_2_88) = all_108_1_87 & strictly_less_than(all_108_2_88, all_108_1_87) = all_108_0_86
% 14.17/3.86  										|
% 14.17/3.86  											| Applying alpha-rule on (314) yields:
% 14.17/3.86  											| (315)  ~ (all_108_0_86 = 0)
% 14.17/3.86  											| (316) lookup_slb(all_0_4_4, all_108_2_88) = all_108_1_87
% 14.17/3.86  											| (317) strictly_less_than(all_108_2_88, all_108_1_87) = all_108_0_86
% 14.17/3.86  											|
% 14.17/3.86  											| From (180) and (316) follows:
% 14.17/3.86  											| (318) lookup_slb(all_0_4_4, all_56_0_73) = all_108_1_87
% 14.17/3.86  											|
% 14.17/3.86  											| From (180) and (317) follows:
% 14.17/3.86  											| (319) strictly_less_than(all_56_0_73, all_108_1_87) = all_108_0_86
% 14.17/3.86  											|
% 14.17/3.86  											| Instantiating formula (107) with all_108_0_86, all_108_1_87, all_56_0_73 and discharging atoms strictly_less_than(all_56_0_73, all_108_1_87) = all_108_0_86, yields:
% 14.17/3.86  											| (320) all_108_0_86 = 0 |  ? [v0] : ((v0 = 0 & less_than(all_108_1_87, all_56_0_73) = 0) | ( ~ (v0 = 0) & less_than(all_56_0_73, all_108_1_87) = v0))
% 14.17/3.86  											|
% 14.17/3.86  											+-Applying beta-rule and splitting (175), into two cases.
% 14.17/3.86  											|-Branch one:
% 14.17/3.86  											| (321) (all_113_0_89 = all_0_0_0 & triple(all_0_5_5, all_113_1_90, all_0_3_3) = all_0_0_0 & update_slb(all_0_4_4, all_113_2_91) = all_113_1_90) | ( ~ (all_113_0_89 = 0) & lookup_slb(all_0_4_4, all_113_2_91) = all_113_1_90 & less_than(all_113_1_90, all_113_2_91) = all_113_0_89)
% 14.17/3.86  											|
% 14.17/3.86  												+-Applying beta-rule and splitting (321), into two cases.
% 14.17/3.86  												|-Branch one:
% 14.17/3.86  												| (322) all_113_0_89 = all_0_0_0 & triple(all_0_5_5, all_113_1_90, all_0_3_3) = all_0_0_0 & update_slb(all_0_4_4, all_113_2_91) = all_113_1_90
% 14.17/3.86  												|
% 14.17/3.86  													| Applying alpha-rule on (322) yields:
% 14.17/3.86  													| (323) all_113_0_89 = all_0_0_0
% 14.17/3.86  													| (324) triple(all_0_5_5, all_113_1_90, all_0_3_3) = all_0_0_0
% 14.17/3.86  													| (325) update_slb(all_0_4_4, all_113_2_91) = all_113_1_90
% 14.17/3.86  													|
% 14.17/3.86  													| From (178) and (325) follows:
% 14.17/3.86  													| (326) update_slb(all_0_4_4, all_56_0_73) = all_113_1_90
% 14.17/3.86  													|
% 14.17/3.86  													| Instantiating formula (44) with all_58_2_77, all_58_3_78, all_113_1_90, all_56_0_73, all_0_4_4 and discharging atoms update_slb(all_0_4_4, all_56_0_73) = all_113_1_90, pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.86  													| (327)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & v2 = 0 & pair_in_list(all_113_1_90, v0, v1) = 0 & strictly_less_than(v0, v1) = 0) | ( ~ (v0 = 0) & strictly_less_than(all_58_3_78, all_58_2_77) = v0))
% 14.17/3.86  													|
% 14.17/3.86  													| Instantiating formula (121) with all_58_2_77, all_58_3_78, all_113_1_90, all_56_0_73, all_0_4_4 and discharging atoms update_slb(all_0_4_4, all_56_0_73) = all_113_1_90, strictly_less_than(all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.86  													| (328)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : ((v3 = 0 & v2 = 0 & pair_in_list(all_113_1_90, v0, v1) = 0 & strictly_less_than(v0, v1) = 0) | ( ~ (v0 = 0) & pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = v0))
% 14.17/3.86  													|
% 14.17/3.86  													| Instantiating (328) with all_162_0_178, all_162_1_179, all_162_2_180, all_162_3_181 yields:
% 14.17/3.86  													| (329) (all_162_0_178 = 0 & all_162_1_179 = 0 & pair_in_list(all_113_1_90, all_162_3_181, all_162_2_180) = 0 & strictly_less_than(all_162_3_181, all_162_2_180) = 0) | ( ~ (all_162_3_181 = 0) & pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_162_3_181)
% 14.17/3.86  													|
% 14.17/3.86  													| Instantiating (327) with all_167_0_193, all_167_1_194, all_167_2_195, all_167_3_196 yields:
% 14.17/3.86  													| (330) (all_167_0_193 = 0 & all_167_1_194 = 0 & pair_in_list(all_113_1_90, all_167_3_196, all_167_2_195) = 0 & strictly_less_than(all_167_3_196, all_167_2_195) = 0) | ( ~ (all_167_3_196 = 0) & strictly_less_than(all_58_3_78, all_58_2_77) = all_167_3_196)
% 14.17/3.86  													|
% 14.17/3.86  													+-Applying beta-rule and splitting (329), into two cases.
% 14.17/3.86  													|-Branch one:
% 14.17/3.86  													| (331) all_162_0_178 = 0 & all_162_1_179 = 0 & pair_in_list(all_113_1_90, all_162_3_181, all_162_2_180) = 0 & strictly_less_than(all_162_3_181, all_162_2_180) = 0
% 14.17/3.86  													|
% 14.17/3.86  														| Applying alpha-rule on (331) yields:
% 14.17/3.86  														| (332) all_162_0_178 = 0
% 14.17/3.86  														| (333) all_162_1_179 = 0
% 14.17/3.86  														| (334) pair_in_list(all_113_1_90, all_162_3_181, all_162_2_180) = 0
% 14.17/3.86  														| (335) strictly_less_than(all_162_3_181, all_162_2_180) = 0
% 14.17/3.86  														|
% 14.17/3.86  														+-Applying beta-rule and splitting (330), into two cases.
% 14.17/3.86  														|-Branch one:
% 14.17/3.86  														| (336) all_167_0_193 = 0 & all_167_1_194 = 0 & pair_in_list(all_113_1_90, all_167_3_196, all_167_2_195) = 0 & strictly_less_than(all_167_3_196, all_167_2_195) = 0
% 14.17/3.86  														|
% 14.17/3.86  															| Applying alpha-rule on (336) yields:
% 14.17/3.86  															| (337) all_167_0_193 = 0
% 14.17/3.86  															| (338) all_167_1_194 = 0
% 14.17/3.86  															| (339) pair_in_list(all_113_1_90, all_167_3_196, all_167_2_195) = 0
% 14.17/3.86  															| (340) strictly_less_than(all_167_3_196, all_167_2_195) = 0
% 14.17/3.86  															|
% 14.17/3.87  															| Instantiating formula (52) with all_167_2_195, all_167_3_196, all_0_0_0, all_0_3_3, all_113_1_90, all_0_5_5 and discharging atoms triple(all_0_5_5, all_113_1_90, all_0_3_3) = all_0_0_0, pair_in_list(all_113_1_90, all_167_3_196, all_167_2_195) = 0, yields:
% 14.17/3.87  															| (341)  ? [v0] : ((v0 = 0 & less_than(all_167_2_195, all_167_3_196) = 0) | ( ~ (v0 = 0) & check_cpq(all_0_0_0) = v0))
% 14.17/3.87  															|
% 14.17/3.87  															| Instantiating formula (52) with all_162_2_180, all_162_3_181, all_0_0_0, all_0_3_3, all_113_1_90, all_0_5_5 and discharging atoms triple(all_0_5_5, all_113_1_90, all_0_3_3) = all_0_0_0, pair_in_list(all_113_1_90, all_162_3_181, all_162_2_180) = 0, yields:
% 14.17/3.87  															| (342)  ? [v0] : ((v0 = 0 & less_than(all_162_2_180, all_162_3_181) = 0) | ( ~ (v0 = 0) & check_cpq(all_0_0_0) = v0))
% 14.17/3.87  															|
% 14.17/3.87  															| Instantiating formula (95) with all_167_2_195, all_167_3_196 and discharging atoms strictly_less_than(all_167_3_196, all_167_2_195) = 0, yields:
% 14.17/3.87  															| (343)  ? [v0] : ( ~ (v0 = 0) & less_than(all_167_2_195, all_167_3_196) = v0 & less_than(all_167_3_196, all_167_2_195) = 0)
% 14.17/3.87  															|
% 14.17/3.87  															| Instantiating formula (95) with all_162_2_180, all_162_3_181 and discharging atoms strictly_less_than(all_162_3_181, all_162_2_180) = 0, yields:
% 14.17/3.87  															| (344)  ? [v0] : ( ~ (v0 = 0) & less_than(all_162_2_180, all_162_3_181) = v0 & less_than(all_162_3_181, all_162_2_180) = 0)
% 14.17/3.87  															|
% 14.17/3.87  															| Instantiating (344) with all_195_0_200 yields:
% 14.17/3.87  															| (345)  ~ (all_195_0_200 = 0) & less_than(all_162_2_180, all_162_3_181) = all_195_0_200 & less_than(all_162_3_181, all_162_2_180) = 0
% 14.17/3.87  															|
% 14.17/3.87  															| Applying alpha-rule on (345) yields:
% 14.17/3.87  															| (346)  ~ (all_195_0_200 = 0)
% 14.17/3.87  															| (347) less_than(all_162_2_180, all_162_3_181) = all_195_0_200
% 14.17/3.87  															| (348) less_than(all_162_3_181, all_162_2_180) = 0
% 14.17/3.87  															|
% 14.17/3.87  															| Instantiating (343) with all_197_0_201 yields:
% 14.17/3.87  															| (349)  ~ (all_197_0_201 = 0) & less_than(all_167_2_195, all_167_3_196) = all_197_0_201 & less_than(all_167_3_196, all_167_2_195) = 0
% 14.17/3.87  															|
% 14.17/3.87  															| Applying alpha-rule on (349) yields:
% 14.17/3.87  															| (350)  ~ (all_197_0_201 = 0)
% 14.17/3.87  															| (351) less_than(all_167_2_195, all_167_3_196) = all_197_0_201
% 14.17/3.87  															| (352) less_than(all_167_3_196, all_167_2_195) = 0
% 14.17/3.87  															|
% 14.17/3.87  															| Instantiating (342) with all_199_0_202 yields:
% 14.17/3.87  															| (353) (all_199_0_202 = 0 & less_than(all_162_2_180, all_162_3_181) = 0) | ( ~ (all_199_0_202 = 0) & check_cpq(all_0_0_0) = all_199_0_202)
% 14.17/3.87  															|
% 14.17/3.87  															| Instantiating (341) with all_200_0_203 yields:
% 14.17/3.87  															| (354) (all_200_0_203 = 0 & less_than(all_167_2_195, all_167_3_196) = 0) | ( ~ (all_200_0_203 = 0) & check_cpq(all_0_0_0) = all_200_0_203)
% 14.17/3.87  															|
% 14.17/3.87  															+-Applying beta-rule and splitting (353), into two cases.
% 14.17/3.87  															|-Branch one:
% 14.17/3.87  															| (355) all_199_0_202 = 0 & less_than(all_162_2_180, all_162_3_181) = 0
% 14.17/3.87  															|
% 14.17/3.87  																| Applying alpha-rule on (355) yields:
% 14.17/3.87  																| (356) all_199_0_202 = 0
% 14.17/3.87  																| (357) less_than(all_162_2_180, all_162_3_181) = 0
% 14.17/3.87  																|
% 14.17/3.87  																| Instantiating formula (94) with all_162_2_180, all_162_3_181, 0, all_195_0_200 and discharging atoms less_than(all_162_2_180, all_162_3_181) = all_195_0_200, less_than(all_162_2_180, all_162_3_181) = 0, yields:
% 14.17/3.87  																| (358) all_195_0_200 = 0
% 14.17/3.87  																|
% 14.17/3.87  																| Equations (358) can reduce 346 to:
% 14.17/3.87  																| (146) $false
% 14.17/3.87  																|
% 14.17/3.87  																|-The branch is then unsatisfiable
% 14.17/3.87  															|-Branch two:
% 14.17/3.87  															| (360)  ~ (all_199_0_202 = 0) & check_cpq(all_0_0_0) = all_199_0_202
% 14.17/3.87  															|
% 14.17/3.87  																| Applying alpha-rule on (360) yields:
% 14.17/3.87  																| (361)  ~ (all_199_0_202 = 0)
% 14.17/3.87  																| (362) check_cpq(all_0_0_0) = all_199_0_202
% 14.17/3.87  																|
% 14.17/3.87  																+-Applying beta-rule and splitting (354), into two cases.
% 14.17/3.87  																|-Branch one:
% 14.17/3.87  																| (363) all_200_0_203 = 0 & less_than(all_167_2_195, all_167_3_196) = 0
% 14.17/3.87  																|
% 14.17/3.87  																	| Applying alpha-rule on (363) yields:
% 14.17/3.87  																	| (364) all_200_0_203 = 0
% 14.17/3.87  																	| (365) less_than(all_167_2_195, all_167_3_196) = 0
% 14.17/3.87  																	|
% 14.17/3.87  																	| Instantiating formula (94) with all_167_2_195, all_167_3_196, 0, all_197_0_201 and discharging atoms less_than(all_167_2_195, all_167_3_196) = all_197_0_201, less_than(all_167_2_195, all_167_3_196) = 0, yields:
% 14.17/3.87  																	| (366) all_197_0_201 = 0
% 14.17/3.87  																	|
% 14.17/3.87  																	| Equations (366) can reduce 350 to:
% 14.17/3.87  																	| (146) $false
% 14.17/3.87  																	|
% 14.17/3.87  																	|-The branch is then unsatisfiable
% 14.17/3.87  																|-Branch two:
% 14.17/3.87  																| (368)  ~ (all_200_0_203 = 0) & check_cpq(all_0_0_0) = all_200_0_203
% 14.17/3.87  																|
% 14.17/3.87  																	| Applying alpha-rule on (368) yields:
% 14.17/3.87  																	| (369)  ~ (all_200_0_203 = 0)
% 14.17/3.87  																	| (370) check_cpq(all_0_0_0) = all_200_0_203
% 14.17/3.87  																	|
% 14.17/3.87  																	| Instantiating formula (117) with all_0_0_0, all_200_0_203, 0 and discharging atoms check_cpq(all_0_0_0) = all_200_0_203, check_cpq(all_0_0_0) = 0, yields:
% 14.17/3.87  																	| (364) all_200_0_203 = 0
% 14.17/3.87  																	|
% 14.17/3.87  																	| Instantiating formula (117) with all_0_0_0, all_199_0_202, all_200_0_203 and discharging atoms check_cpq(all_0_0_0) = all_200_0_203, check_cpq(all_0_0_0) = all_199_0_202, yields:
% 14.17/3.87  																	| (372) all_200_0_203 = all_199_0_202
% 14.17/3.87  																	|
% 14.17/3.87  																	| Combining equations (364,372) yields a new equation:
% 14.17/3.87  																	| (356) all_199_0_202 = 0
% 14.17/3.87  																	|
% 14.17/3.87  																	| Equations (356) can reduce 361 to:
% 14.17/3.87  																	| (146) $false
% 14.17/3.87  																	|
% 14.17/3.87  																	|-The branch is then unsatisfiable
% 14.17/3.87  														|-Branch two:
% 14.17/3.87  														| (375)  ~ (all_167_3_196 = 0) & strictly_less_than(all_58_3_78, all_58_2_77) = all_167_3_196
% 14.17/3.87  														|
% 14.17/3.87  															| Applying alpha-rule on (375) yields:
% 14.17/3.87  															| (376)  ~ (all_167_3_196 = 0)
% 14.17/3.87  															| (377) strictly_less_than(all_58_3_78, all_58_2_77) = all_167_3_196
% 14.17/3.87  															|
% 14.17/3.87  															| Instantiating formula (57) with all_58_3_78, all_58_2_77, all_167_3_196, 0 and discharging atoms strictly_less_than(all_58_3_78, all_58_2_77) = all_167_3_196, strictly_less_than(all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.87  															| (378) all_167_3_196 = 0
% 14.17/3.87  															|
% 14.17/3.87  															| Equations (378) can reduce 376 to:
% 14.17/3.87  															| (146) $false
% 14.17/3.87  															|
% 14.17/3.87  															|-The branch is then unsatisfiable
% 14.17/3.87  													|-Branch two:
% 14.17/3.87  													| (380)  ~ (all_162_3_181 = 0) & pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_162_3_181
% 14.17/3.87  													|
% 14.17/3.87  														| Applying alpha-rule on (380) yields:
% 14.17/3.87  														| (381)  ~ (all_162_3_181 = 0)
% 14.17/3.87  														| (382) pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_162_3_181
% 14.17/3.87  														|
% 14.17/3.87  														| Instantiating formula (101) with all_0_4_4, all_58_3_78, all_58_2_77, all_162_3_181, 0 and discharging atoms pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = all_162_3_181, pair_in_list(all_0_4_4, all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.87  														| (383) all_162_3_181 = 0
% 14.17/3.87  														|
% 14.17/3.87  														| Equations (383) can reduce 381 to:
% 14.17/3.87  														| (146) $false
% 14.17/3.87  														|
% 14.17/3.87  														|-The branch is then unsatisfiable
% 14.17/3.87  												|-Branch two:
% 14.17/3.87  												| (385)  ~ (all_113_0_89 = 0) & lookup_slb(all_0_4_4, all_113_2_91) = all_113_1_90 & less_than(all_113_1_90, all_113_2_91) = all_113_0_89
% 14.17/3.87  												|
% 14.17/3.87  													| Applying alpha-rule on (385) yields:
% 14.17/3.87  													| (386)  ~ (all_113_0_89 = 0)
% 14.17/3.87  													| (387) lookup_slb(all_0_4_4, all_113_2_91) = all_113_1_90
% 14.17/3.87  													| (388) less_than(all_113_1_90, all_113_2_91) = all_113_0_89
% 14.17/3.87  													|
% 14.17/3.87  													| From (178) and (387) follows:
% 14.17/3.87  													| (389) lookup_slb(all_0_4_4, all_56_0_73) = all_113_1_90
% 14.17/3.87  													|
% 14.17/3.87  													| From (178) and (388) follows:
% 14.17/3.87  													| (390) less_than(all_113_1_90, all_56_0_73) = all_113_0_89
% 14.17/3.87  													|
% 14.17/3.87  													+-Applying beta-rule and splitting (320), into two cases.
% 14.17/3.87  													|-Branch one:
% 14.17/3.87  													| (391) all_108_0_86 = 0
% 14.17/3.87  													|
% 14.17/3.87  														| Equations (391) can reduce 315 to:
% 14.17/3.87  														| (146) $false
% 14.17/3.87  														|
% 14.17/3.87  														|-The branch is then unsatisfiable
% 14.17/3.87  													|-Branch two:
% 14.17/3.87  													| (315)  ~ (all_108_0_86 = 0)
% 14.17/3.87  													| (394)  ? [v0] : ((v0 = 0 & less_than(all_108_1_87, all_56_0_73) = 0) | ( ~ (v0 = 0) & less_than(all_56_0_73, all_108_1_87) = v0))
% 14.17/3.87  													|
% 14.17/3.87  														| Instantiating (394) with all_156_0_218 yields:
% 14.17/3.87  														| (395) (all_156_0_218 = 0 & less_than(all_108_1_87, all_56_0_73) = 0) | ( ~ (all_156_0_218 = 0) & less_than(all_56_0_73, all_108_1_87) = all_156_0_218)
% 14.17/3.87  														|
% 14.17/3.87  														| Instantiating formula (115) with all_0_4_4, all_56_0_73, all_113_1_90, all_108_1_87 and discharging atoms lookup_slb(all_0_4_4, all_56_0_73) = all_113_1_90, lookup_slb(all_0_4_4, all_56_0_73) = all_108_1_87, yields:
% 14.17/3.87  														| (396) all_113_1_90 = all_108_1_87
% 14.17/3.87  														|
% 14.17/3.87  														| From (396) and (390) follows:
% 14.17/3.87  														| (397) less_than(all_108_1_87, all_56_0_73) = all_113_0_89
% 14.17/3.87  														|
% 14.17/3.87  														+-Applying beta-rule and splitting (395), into two cases.
% 14.17/3.87  														|-Branch one:
% 14.17/3.87  														| (398) all_156_0_218 = 0 & less_than(all_108_1_87, all_56_0_73) = 0
% 14.17/3.87  														|
% 14.17/3.87  															| Applying alpha-rule on (398) yields:
% 14.17/3.87  															| (399) all_156_0_218 = 0
% 14.17/3.87  															| (400) less_than(all_108_1_87, all_56_0_73) = 0
% 14.17/3.87  															|
% 14.17/3.87  															| Instantiating formula (94) with all_108_1_87, all_56_0_73, 0, all_113_0_89 and discharging atoms less_than(all_108_1_87, all_56_0_73) = all_113_0_89, less_than(all_108_1_87, all_56_0_73) = 0, yields:
% 14.17/3.87  															| (401) all_113_0_89 = 0
% 14.17/3.87  															|
% 14.17/3.87  															| Equations (401) can reduce 386 to:
% 14.17/3.87  															| (146) $false
% 14.17/3.87  															|
% 14.17/3.87  															|-The branch is then unsatisfiable
% 14.17/3.87  														|-Branch two:
% 14.17/3.87  														| (403)  ~ (all_156_0_218 = 0) & less_than(all_56_0_73, all_108_1_87) = all_156_0_218
% 14.17/3.87  														|
% 14.17/3.87  															| Applying alpha-rule on (403) yields:
% 14.17/3.87  															| (404)  ~ (all_156_0_218 = 0)
% 14.17/3.87  															| (405) less_than(all_56_0_73, all_108_1_87) = all_156_0_218
% 14.17/3.87  															|
% 14.17/3.87  															| Instantiating formula (16) with all_113_0_89, all_108_1_87, all_56_0_73, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5 and discharging atoms triple(all_0_5_5, all_0_4_4, all_0_3_3) = all_0_2_2, less_than(all_108_1_87, all_56_0_73) = all_113_0_89, yields:
% 14.17/3.88  															| (406) all_113_0_89 = 0 |  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0) | ( ~ (v0 = 0) & pair_in_list(all_0_4_4, all_56_0_73, all_108_1_87) = v0))
% 14.17/3.88  															|
% 14.17/3.88  															| Instantiating formula (51) with all_156_0_218, all_56_0_73, all_108_1_87 and discharging atoms less_than(all_56_0_73, all_108_1_87) = all_156_0_218, yields:
% 14.17/3.88  															| (407) all_156_0_218 = 0 | less_than(all_108_1_87, all_56_0_73) = 0
% 14.17/3.88  															|
% 14.17/3.88  															+-Applying beta-rule and splitting (407), into two cases.
% 14.17/3.88  															|-Branch one:
% 14.17/3.88  															| (400) less_than(all_108_1_87, all_56_0_73) = 0
% 14.17/3.88  															|
% 14.17/3.88  																+-Applying beta-rule and splitting (406), into two cases.
% 14.17/3.88  																|-Branch one:
% 14.17/3.88  																| (401) all_113_0_89 = 0
% 14.17/3.88  																|
% 14.17/3.88  																	| Equations (401) can reduce 386 to:
% 14.17/3.88  																	| (146) $false
% 14.17/3.88  																	|
% 14.17/3.88  																	|-The branch is then unsatisfiable
% 14.17/3.88  																|-Branch two:
% 14.17/3.88  																| (386)  ~ (all_113_0_89 = 0)
% 14.17/3.88  																| (412)  ? [v0] : (( ~ (v0 = 0) & check_cpq(all_0_2_2) = v0) | ( ~ (v0 = 0) & pair_in_list(all_0_4_4, all_56_0_73, all_108_1_87) = v0))
% 14.17/3.88  																|
% 14.17/3.88  																	| Instantiating formula (94) with all_108_1_87, all_56_0_73, 0, all_113_0_89 and discharging atoms less_than(all_108_1_87, all_56_0_73) = all_113_0_89, less_than(all_108_1_87, all_56_0_73) = 0, yields:
% 14.17/3.88  																	| (401) all_113_0_89 = 0
% 14.17/3.88  																	|
% 14.17/3.88  																	| Equations (401) can reduce 386 to:
% 14.17/3.88  																	| (146) $false
% 14.17/3.88  																	|
% 14.17/3.88  																	|-The branch is then unsatisfiable
% 14.17/3.88  															|-Branch two:
% 14.17/3.88  															| (415)  ~ (less_than(all_108_1_87, all_56_0_73) = 0)
% 14.17/3.88  															| (399) all_156_0_218 = 0
% 14.17/3.88  															|
% 14.17/3.88  																| Equations (399) can reduce 404 to:
% 14.17/3.88  																| (146) $false
% 14.17/3.88  																|
% 14.17/3.88  																|-The branch is then unsatisfiable
% 14.17/3.88  											|-Branch two:
% 14.17/3.88  											| (418)  ~ (all_113_1_90 = 0) & contains_slb(all_0_4_4, all_113_2_91) = all_113_1_90
% 14.17/3.88  											|
% 14.17/3.88  												| Applying alpha-rule on (418) yields:
% 14.17/3.88  												| (419)  ~ (all_113_1_90 = 0)
% 14.17/3.88  												| (420) contains_slb(all_0_4_4, all_113_2_91) = all_113_1_90
% 14.17/3.88  												|
% 14.17/3.88  												| From (178) and (420) follows:
% 14.17/3.88  												| (421) contains_slb(all_0_4_4, all_56_0_73) = all_113_1_90
% 14.17/3.88  												|
% 14.17/3.88  												| Instantiating formula (96) with all_0_4_4, all_56_0_73, all_113_1_90, 0 and discharging atoms contains_slb(all_0_4_4, all_56_0_73) = all_113_1_90, contains_slb(all_0_4_4, all_56_0_73) = 0, yields:
% 14.17/3.88  												| (422) all_113_1_90 = 0
% 14.17/3.88  												|
% 14.17/3.88  												| Equations (422) can reduce 419 to:
% 14.17/3.88  												| (146) $false
% 14.17/3.88  												|
% 14.17/3.88  												|-The branch is then unsatisfiable
% 14.17/3.88  									|-Branch two:
% 14.17/3.88  									| (424)  ~ (all_108_1_87 = 0) & contains_slb(all_0_4_4, all_108_2_88) = all_108_1_87
% 14.17/3.88  									|
% 14.17/3.88  										| Applying alpha-rule on (424) yields:
% 14.17/3.88  										| (425)  ~ (all_108_1_87 = 0)
% 14.17/3.88  										| (426) contains_slb(all_0_4_4, all_108_2_88) = all_108_1_87
% 14.17/3.88  										|
% 14.17/3.88  										| From (180) and (426) follows:
% 14.17/3.88  										| (427) contains_slb(all_0_4_4, all_56_0_73) = all_108_1_87
% 14.17/3.88  										|
% 14.17/3.88  										| Instantiating formula (96) with all_0_4_4, all_56_0_73, all_108_1_87, 0 and discharging atoms contains_slb(all_0_4_4, all_56_0_73) = all_108_1_87, contains_slb(all_0_4_4, all_56_0_73) = 0, yields:
% 14.17/3.88  										| (428) all_108_1_87 = 0
% 14.17/3.88  										|
% 14.17/3.88  										| Equations (428) can reduce 425 to:
% 14.17/3.88  										| (146) $false
% 14.17/3.88  										|
% 14.17/3.88  										|-The branch is then unsatisfiable
% 14.17/3.88  					|-Branch two:
% 14.17/3.88  					| (430)  ~ (findmin_pqp_res(all_0_5_5) = all_56_0_73)
% 14.17/3.88  					| (153) all_0_4_4 = create_slb
% 14.17/3.88  					|
% 14.17/3.88  						| Equations (153) can reduce 156 to:
% 14.17/3.88  						| (146) $false
% 14.17/3.88  						|
% 14.17/3.88  						|-The branch is then unsatisfiable
% 14.17/3.88  			|-Branch two:
% 14.17/3.88  			| (433)  ~ (all_83_0_81 = 0) & less_than(all_58_3_78, all_58_2_77) = all_83_0_81
% 14.17/3.88  			|
% 14.17/3.88  				| Applying alpha-rule on (433) yields:
% 14.17/3.88  				| (434)  ~ (all_83_0_81 = 0)
% 14.17/3.88  				| (435) less_than(all_58_3_78, all_58_2_77) = all_83_0_81
% 14.17/3.88  				|
% 14.17/3.88  				| Instantiating formula (94) with all_58_3_78, all_58_2_77, 0, all_83_0_81 and discharging atoms less_than(all_58_3_78, all_58_2_77) = all_83_0_81, less_than(all_58_3_78, all_58_2_77) = 0, yields:
% 14.17/3.88  				| (151) all_83_0_81 = 0
% 14.17/3.88  				|
% 14.17/3.88  				| Equations (151) can reduce 434 to:
% 14.17/3.88  				| (146) $false
% 14.17/3.88  				|
% 14.17/3.88  				|-The branch is then unsatisfiable
% 14.17/3.88  	|-Branch two:
% 14.17/3.88  	| (438)  ~ (less_than(all_58_3_78, all_58_2_77) = 0)
% 14.17/3.88  	| (145) all_58_0_75 = 0
% 14.17/3.88  	|
% 14.17/3.88  		| Equations (145) can reduce 138 to:
% 14.17/3.88  		| (146) $false
% 14.17/3.88  		|
% 14.17/3.88  		|-The branch is then unsatisfiable
% 14.17/3.88  |-Branch two:
% 14.17/3.88  | (441) all_58_3_78 = 0 & check_cpq(all_0_2_2) = 0
% 14.17/3.88  |
% 14.17/3.88  	| Applying alpha-rule on (441) yields:
% 14.17/3.88  	| (442) all_58_3_78 = 0
% 14.17/3.88  	| (443) check_cpq(all_0_2_2) = 0
% 14.17/3.88  	|
% 14.17/3.88  	| Instantiating formula (117) with all_0_2_2, 0, all_0_1_1 and discharging atoms check_cpq(all_0_2_2) = all_0_1_1, check_cpq(all_0_2_2) = 0, yields:
% 14.17/3.88  	| (444) all_0_1_1 = 0
% 14.17/3.88  	|
% 14.17/3.88  	| Equations (444) can reduce 49 to:
% 14.17/3.88  	| (146) $false
% 14.17/3.88  	|
% 14.17/3.88  	|-The branch is then unsatisfiable
% 14.17/3.88  % SZS output end Proof for theBenchmark
% 14.17/3.88  
% 14.17/3.88  3274ms
%------------------------------------------------------------------------------