%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SWV372+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n032.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 17:51:09 EDT 2022

% Result   : Theorem 12.29s 3.48s
% Output   : Proof 16.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SWV372+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.11  % Command  : ePrincess-casc -timeout=%d %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Tue Jun 14 15:01:43 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 0.16/0.50          ____       _                          
% 0.16/0.50    ___  / __ \_____(_)___  ________  __________
% 0.16/0.50   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.16/0.50  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.16/0.50  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.16/0.50  
% 0.16/0.50  A Theorem Prover for First-Order Logic
% 0.16/0.50  (ePrincess v.1.0)
% 0.16/0.50  
% 0.16/0.50  (c) Philipp Rümmer, 2009-2015
% 0.16/0.50  (c) Peter Backeman, 2014-2015
% 0.16/0.50  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.16/0.50  Free software under GNU Lesser General Public License (LGPL).
% 0.16/0.50  Bug reports to peter@backeman.se
% 0.16/0.50  
% 0.16/0.50  For more information, visit http://user.uu.se/~petba168/breu/
% 0.16/0.50  
% 0.16/0.50  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.16/0.55  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.76/0.90  Prover 0: Preprocessing ...
% 3.44/1.33  Prover 0: Warning: ignoring some quantifiers
% 3.44/1.37  Prover 0: Constructing countermodel ...
% 12.29/3.48  Prover 0: proved (2926ms)
% 12.29/3.48  
% 12.29/3.48  No countermodel exists, formula is valid
% 12.29/3.48  % SZS status Theorem for theBenchmark
% 12.29/3.48  
% 12.29/3.48  Generating proof ... Warning: ignoring some quantifiers
% 15.38/4.16  found it (size 134)
% 15.38/4.16  
% 15.38/4.16  % SZS output start Proof for theBenchmark
% 15.38/4.16  Assumed formulas after preprocessing and simplification: 
% 15.38/4.16  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] : (i(v3) = v5 & findmin_cpq_res(v3) = v6 & triple(v0, v1, v2) = v3 & findmin_cpq_eff(v3) = v4 & phi(v4) &  ~ isnonempty_slb(create_slb) &  ~ contains_pq(v5, v6) &  ~ isnonempty_pq(create_pq) &  ! [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) |  ~ check_cpq(v14) |  ~ strictly_less_than(v10, v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] :  ! [v14] : ( ~ (triple(v7, v13, v9) = v14) |  ~ (pair(v10, v11) = v12) |  ~ (insert_slb(v8, v12) = v13) |  ~ less_than(v11, v10) |  ? [v15] : (triple(v7, v8, v9) = v15 & ( ~ check_cpq(v15) | check_cpq(v14)) & ( ~ check_cpq(v14) | check_cpq(v15)))) &  ! [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] : (i(v16) = v17 & i(v14) = v15 & triple(v7, v8, v9) = v16 & insert_pq(v17, v10) = v15)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v11 = v10 |  ~ (pair(v8, v10) = v12) |  ~ (insert_slb(v7, v12) = v13) |  ~ pair_in_list(v13, v9, v11) | pair_in_list(v7, v9, v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v9 = v8 |  ~ (lookup_slb(v12, v9) = v13) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) |  ~ contains_slb(v7, v9) | lookup_slb(v7, v9) = v13) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v9 = v8 |  ~ (remove_slb(v12, v9) = v13) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) |  ~ contains_slb(v7, v9) |  ? [v14] : (remove_slb(v7, v9) = v14 & insert_slb(v14, v11) = v13)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v9 = v8 |  ~ (remove_slb(v7, v9) = v12) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v12, v11) = v13) |  ~ contains_slb(v7, v9) |  ? [v14] : (remove_slb(v14, v9) = v13 & insert_slb(v7, v11) = v14)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : (v9 = v8 |  ~ (pair(v8, v10) = v12) |  ~ (insert_slb(v7, v12) = v13) |  ~ pair_in_list(v13, v9, v11) | pair_in_list(v7, v9, v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (remove_pqp(v7, v10) = v11) |  ~ (triple(v11, v12, v9) = v13) |  ~ (remove_slb(v8, v10) = v12) |  ~ contains_slb(v8, v10) |  ? [v14] :  ? [v15] :  ? [v16] : (triple(v7, v8, v9) = v15 & remove_cpq(v15, v10) = v16 & lookup_slb(v8, v10) = v14 & (v16 = v13 |  ~ less_than(v14, v10)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (update_slb(v12, v9) = v13) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) |  ~ strictly_less_than(v10, v9) |  ? [v14] :  ? [v15] : (update_slb(v7, v9) = v14 & pair(v8, v9) = v15 & insert_slb(v14, v15) = v13)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (update_slb(v12, v9) = v13) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) |  ~ less_than(v9, v10) |  ? [v14] : (update_slb(v7, v9) = v14 & insert_slb(v14, v11) = v13)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (update_slb(v7, v9) = v12) |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v12, v11) = v13) |  ~ less_than(v9, v10) |  ? [v14] : (update_slb(v14, v9) = v13 & insert_slb(v7, v11) = v14)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] :  ! [v13] : ( ~ (pair(v8, v10) = v12) |  ~ (insert_slb(v7, v12) = v13) |  ~ pair_in_list(v7, v9, v11) | pair_in_list(v13, v9, v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v9 |  ~ (lookup_slb(v11, v8) = v12) |  ~ (pair(v8, v9) = v10) |  ~ (insert_slb(v7, v10) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v12 = v7 |  ~ (remove_slb(v11, v8) = v12) |  ~ (pair(v8, v9) = v10) |  ~ (insert_slb(v7, v10) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v9 = v8 |  ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) |  ~ contains_slb(v12, v9) | contains_slb(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : (v8 = create_slb |  ~ (findmin_pqp_res(v7) = v10) |  ~ (triple(v7, v11, v9) = v12) |  ~ (update_slb(v8, v10) = v11) |  ~ contains_slb(v8, v10) |  ? [v13] :  ? [v14] :  ? [v15] : (triple(v7, v8, v9) = v14 & findmin_cpq_eff(v14) = v15 & lookup_slb(v8, v10) = v13 & (v15 = v12 |  ~ less_than(v13, v10)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (triple(v7, v8, v9) = v11) |  ~ (remove_cpq(v11, v10) = v12) |  ~ contains_slb(v8, v10) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (remove_pqp(v7, v10) = v14 & triple(v14, v15, v9) = v16 & lookup_slb(v8, v10) = v13 & remove_slb(v8, v10) = v15 & (v16 = v12 |  ~ less_than(v13, v10)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (triple(v7, v8, v9) = v11) |  ~ (remove_cpq(v11, v10) = v12) |  ~ contains_slb(v8, v10) |  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] : (remove_pqp(v7, v10) = v14 & triple(v14, v15, bad) = v16 & lookup_slb(v8, v10) = v13 & remove_slb(v8, v10) = v15 & (v16 = v12 |  ~ strictly_less_than(v10, v13)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] :  ! [v12] : ( ~ (triple(v7, v8, v9) = v11) |  ~ (remove_cpq(v11, v10) = v12) | triple(v7, v8, bad) = v12 | contains_slb(v8, v10)) &  ! [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] : ( ~ (pair(v8, v10) = v11) |  ~ (insert_slb(v7, v11) = v12) |  ~ contains_slb(v7, v9) | contains_slb(v12, v9)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 |  ~ (remove_pq(v10, v9) = v11) |  ~ (insert_pq(v7, v8) = v10) |  ~ contains_pq(v7, v9) |  ? [v12] : (remove_pq(v7, v9) = v12 & insert_pq(v12, v8) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : (v9 = v8 |  ~ (remove_pq(v7, v9) = v10) |  ~ (insert_pq(v10, v8) = v11) |  ~ contains_pq(v7, v9) |  ? [v12] : (remove_pq(v12, v9) = v11 & insert_pq(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] : ( ~ (triple(v7, v8, v9) = v11) |  ~ contains_cpq(v11, v10) | contains_slb(v8, v10)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (triple(v7, v8, v9) = v11) |  ~ contains_cpq(v11, v10) |  ? [v12] : (i(v11) = v12 & contains_pq(v12, v10))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (triple(v7, v8, v9) = v11) |  ~ contains_slb(v8, v10) | contains_cpq(v11, v10)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (pair(v8, v9) = v10) |  ~ (insert_slb(v7, v10) = v11) | pair_in_list(v11, v8, v9)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (pair(v8, v9) = v10) |  ~ (insert_slb(v7, v10) = v11) | contains_slb(v11, v8)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (pair(v8, v9) = v10) |  ~ (insert_slb(v7, v10) = v11) | isnonempty_slb(v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (insert_pq(v10, v9) = v11) |  ~ (insert_pq(v7, v8) = v10) |  ? [v12] : (insert_pq(v12, v8) = v11 & insert_pq(v7, v9) = v12)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (insert_pq(v10, v8) = v11) |  ~ (insert_pq(v7, v9) = v10) |  ? [v12] : (insert_pq(v12, v9) = v11 & insert_pq(v7, v8) = v12)) &  ? [v7] :  ! [v8] :  ! [v9] :  ! [v10] :  ! [v11] : ( ~ (triple(v8, v9, v10) = v11) | contains_cpq(v11, v7) |  ? [v12] : (i(v11) = v12 &  ~ contains_pq(v12, v7))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v10 = v7 |  ~ (remove_pq(v9, v8) = v10) |  ~ (insert_pq(v7, v8) = v9)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v9 = v8 |  ~ (insert_pq(v7, v8) = v10) |  ~ contains_pq(v10, v9) | contains_pq(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v9 = bad |  ~ (triple(v7, v8, v9) = v10) | ok(v10)) &  ! [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 |  ~ (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 |  ~ (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 |  ~ (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 |  ~ (removemin_pq_res(v10, v9) = v8) |  ~ (removemin_pq_res(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (removemin_pq_eff(v10, v9) = v8) |  ~ (removemin_pq_eff(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (findmin_pq_res(v10, v9) = v8) |  ~ (findmin_pq_res(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (findmin_pq_eff(v10, v9) = v8) |  ~ (findmin_pq_eff(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (remove_pq(v10, v9) = v8) |  ~ (remove_pq(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = v7 |  ~ (insert_pq(v10, v9) = v8) |  ~ (insert_pq(v10, v9) = v7)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = create_slb |  ~ (triple(v7, v8, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (findmin_pqp_res(v7) = v11 & triple(v7, v14, v9) = v15 & findmin_cpq_eff(v10) = v13 & update_slb(v8, v11) = v14 & lookup_slb(v8, v11) = v12 & (v15 = v13 |  ~ contains_slb(v8, v11) |  ~ less_than(v12, v11)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = create_slb |  ~ (triple(v7, v8, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] : (findmin_pqp_res(v7) = v11 & triple(v7, v14, bad) = v15 & findmin_cpq_eff(v10) = v13 & update_slb(v8, v11) = v14 & lookup_slb(v8, v11) = v12 & (v15 = v13 |  ~ contains_slb(v8, v11) |  ~ strictly_less_than(v11, v12)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = create_slb |  ~ (triple(v7, v8, v9) = v10) |  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] : (findmin_pqp_res(v7) = v11 & triple(v7, v13, bad) = v14 & findmin_cpq_eff(v10) = v12 & update_slb(v8, v11) = v13 & (v14 = v12 | contains_slb(v8, v11)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : (v8 = create_slb |  ~ (triple(v7, v8, v9) = v10) |  ? [v11] : (findmin_cpq_res(v10) = v11 & findmin_pqp_res(v7) = v11)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (findmin_cpq_res(v7) = v9) |  ~ (findmin_cpq_eff(v7) = v8) |  ~ (remove_cpq(v8, v9) = v10) | removemin_cpq_eff(v7) = v10) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (triple(v7, v8, v9) = v10) |  ~ phi(v10) | ok(v10)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (triple(v7, v8, v9) = v10) |  ? [v11] :  ? [v12] : (findmin_cpq_res(v10) = v11 & findmin_cpq_eff(v10) = v12 & ( ~ ok(v12) | contains_cpq(v10, v11)))) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (remove_cpq(v8, v9) = v10) |  ~ succ_cpq(v7, v8) | succ_cpq(v7, v10)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (insert_cpq(v8, v9) = v10) |  ~ succ_cpq(v7, v8) | succ_cpq(v7, v10)) &  ! [v7] :  ! [v8] :  ! [v9] :  ! [v10] : ( ~ (insert_pq(v7, v8) = v10) |  ~ contains_pq(v7, v9) | contains_pq(v10, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : (v9 = v8 |  ~ (removemin_pq_res(v7, v8) = v9) |  ~ issmallestelement_pq(v7, v8) |  ~ contains_pq(v7, v8)) &  ! [v7] :  ! [v8] :  ! [v9] : (v9 = v8 |  ~ (findmin_pq_res(v7, v8) = v9) |  ~ issmallestelement_pq(v7, v8) |  ~ contains_pq(v7, v8)) &  ! [v7] :  ! [v8] :  ! [v9] : (v9 = v7 |  ~ (findmin_pq_eff(v7, v8) = v9) |  ~ issmallestelement_pq(v7, v8) |  ~ contains_pq(v7, v8)) &  ! [v7] :  ! [v8] :  ! [v9] : (v8 = v7 |  ~ (i(v9) = v8) |  ~ (i(v9) = v7)) &  ! [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 |  ~ (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] : ( ~ (i(v7) = v9) |  ~ pi_remove(v7, v8) | pi_sharp_remove(v9, v8)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (i(v7) = v9) |  ~ pi_sharp_remove(v9, v8) | pi_remove(v7, v8)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (i(v7) = v8) |  ~ pi_sharp_find_min(v8, v9) | pi_removemin(v7)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (i(v7) = v8) |  ~ pi_sharp_find_min(v8, v9) | pi_find_min(v7)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (triple(v7, v8, bad) = v9) |  ~ ok(v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (triple(v7, create_slb, v8) = v9) | i(v9) = create_pq) &  ! [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)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (triple(v7, create_slb, v8) = v9) |  ? [v10] : (triple(v7, create_slb, bad) = v10 & findmin_cpq_eff(v9) = v10)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (removemin_cpq_eff(v8) = v9) |  ~ succ_cpq(v7, v8) | succ_cpq(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (findmin_cpq_eff(v8) = v9) |  ~ succ_cpq(v7, v8) | succ_cpq(v7, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (removemin_pq_eff(v7, v8) = v9) |  ~ issmallestelement_pq(v7, v8) |  ~ contains_pq(v7, v8) | remove_pq(v7, v8) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (remove_pq(v7, v8) = v9) |  ~ issmallestelement_pq(v7, v8) |  ~ contains_pq(v7, v8) | removemin_pq_eff(v7, v8) = v9) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (insert_pq(v7, v8) = v9) | contains_pq(v9, v8)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ (insert_pq(v7, v8) = v9) | isnonempty_pq(v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ issmallestelement_pq(v7, v8) |  ~ contains_pq(v7, v9) | less_than(v8, v9)) &  ! [v7] :  ! [v8] :  ! [v9] : ( ~ less_than(v8, v9) |  ~ less_than(v7, v8) | less_than(v7, v9)) &  ! [v7] :  ! [v8] : (v8 = create_slb |  ~ (update_slb(create_slb, v7) = v8)) &  ! [v7] :  ! [v8] : ( ~ (i(v7) = v8) |  ~ pi_removemin(v7) |  ? [v9] : pi_sharp_find_min(v8, v9)) &  ! [v7] :  ! [v8] : ( ~ (i(v7) = v8) |  ~ pi_find_min(v7) |  ? [v9] : pi_sharp_find_min(v8, v9)) &  ! [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] : ( ~ (removemin_cpq_eff(v7) = v8) |  ? [v9] :  ? [v10] : (findmin_cpq_res(v7) = v10 & findmin_cpq_eff(v7) = v9 & remove_cpq(v9, v10) = v8)) &  ! [v7] :  ! [v8] : ( ~ pi_sharp_removemin(v7, v8) | issmallestelement_pq(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ pi_sharp_removemin(v7, v8) | contains_pq(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ pi_sharp_find_min(v7, v8) | issmallestelement_pq(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ pi_sharp_find_min(v7, v8) | contains_pq(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ pi_sharp_remove(v7, v8) | contains_pq(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ ok(v8) |  ~ check_cpq(v8) |  ~ succ_cpq(v7, v8) | phi(v7)) &  ! [v7] :  ! [v8] :  ~ pair_in_list(create_slb, v7, v8) &  ! [v7] :  ! [v8] : ( ~ issmallestelement_pq(v7, v8) |  ~ contains_pq(v7, v8) | pi_sharp_removemin(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ issmallestelement_pq(v7, v8) |  ~ contains_pq(v7, v8) | pi_sharp_find_min(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ contains_pq(v7, v8) | pi_sharp_remove(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ strictly_less_than(v7, v8) |  ~ less_than(v8, v7)) &  ! [v7] :  ! [v8] : ( ~ strictly_less_than(v7, v8) | less_than(v7, v8)) &  ! [v7] :  ! [v8] : ( ~ less_than(v7, v8) | strictly_less_than(v7, v8) | less_than(v8, v7)) &  ! [v7] : ( ~ phi(v7) |  ? [v8] : (ok(v8) & check_cpq(v8) & succ_cpq(v7, v8))) &  ! [v7] :  ~ contains_slb(create_slb, v7) &  ! [v7] :  ~ contains_pq(create_pq, v7) &  ? [v7] :  ? [v8] : (issmallestelement_pq(v7, v8) |  ? [v9] : (contains_pq(v7, v9) &  ~ less_than(v8, v9))) &  ? [v7] :  ? [v8] : (less_than(v8, v7) | less_than(v7, v8)) &  ? [v7] : succ_cpq(v7, v7) &  ? [v7] : less_than(v7, v7) &  ? [v7] : less_than(bottom, v7))
% 15.68/4.24  | 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:
% 15.68/4.24  | (1) i(all_0_3_3) = all_0_1_1 & findmin_cpq_res(all_0_3_3) = all_0_0_0 & triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3 & findmin_cpq_eff(all_0_3_3) = all_0_2_2 & phi(all_0_2_2) &  ~ isnonempty_slb(create_slb) &  ~ contains_pq(all_0_1_1, all_0_0_0) &  ~ isnonempty_pq(create_pq) &  ! [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) |  ~ check_cpq(v7) |  ~ strictly_less_than(v3, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (triple(v0, v6, v2) = v7) |  ~ (pair(v3, v4) = v5) |  ~ (insert_slb(v1, v5) = v6) |  ~ less_than(v4, v3) |  ? [v8] : (triple(v0, v1, v2) = v8 & ( ~ check_cpq(v8) | check_cpq(v7)) & ( ~ check_cpq(v7) | check_cpq(v8)))) &  ! [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] : (i(v9) = v10 & i(v7) = v8 & triple(v0, v1, v2) = v9 & insert_pq(v10, v3) = v8)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) |  ~ pair_in_list(v6, v2, v4) | pair_in_list(v0, v2, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (lookup_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ contains_slb(v0, v2) | lookup_slb(v0, v2) = v6) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (remove_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ contains_slb(v0, v2) |  ? [v7] : (remove_slb(v0, v2) = v7 & insert_slb(v7, v4) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (remove_slb(v0, v2) = v5) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v5, v4) = v6) |  ~ contains_slb(v0, v2) |  ? [v7] : (remove_slb(v7, v2) = v6 & insert_slb(v0, v4) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) |  ~ pair_in_list(v6, v2, v4) | pair_in_list(v0, v2, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (remove_pqp(v0, v3) = v4) |  ~ (triple(v4, v5, v2) = v6) |  ~ (remove_slb(v1, v3) = v5) |  ~ contains_slb(v1, v3) |  ? [v7] :  ? [v8] :  ? [v9] : (triple(v0, v1, v2) = v8 & remove_cpq(v8, v3) = v9 & lookup_slb(v1, v3) = v7 & (v9 = v6 |  ~ less_than(v7, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ strictly_less_than(v3, v2) |  ? [v7] :  ? [v8] : (update_slb(v0, v2) = v7 & pair(v1, v2) = v8 & insert_slb(v7, v8) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ less_than(v2, v3) |  ? [v7] : (update_slb(v0, v2) = v7 & insert_slb(v7, v4) = v6)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v0, v2) = v5) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v5, v4) = v6) |  ~ less_than(v2, v3) |  ? [v7] : (update_slb(v7, v2) = v6 & insert_slb(v0, v4) = v7)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) |  ~ pair_in_list(v0, v2, v4) | pair_in_list(v6, v2, v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v2 |  ~ (lookup_slb(v4, v1) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v0 |  ~ (remove_slb(v4, v1) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v2 = v1 |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ contains_slb(v5, v2) | contains_slb(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = create_slb |  ~ (findmin_pqp_res(v0) = v3) |  ~ (triple(v0, v4, v2) = v5) |  ~ (update_slb(v1, v3) = v4) |  ~ contains_slb(v1, v3) |  ? [v6] :  ? [v7] :  ? [v8] : (triple(v0, v1, v2) = v7 & findmin_cpq_eff(v7) = v8 & lookup_slb(v1, v3) = v6 & (v8 = v5 |  ~ less_than(v6, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ~ contains_slb(v1, v3) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (remove_pqp(v0, v3) = v7 & triple(v7, v8, v2) = v9 & lookup_slb(v1, v3) = v6 & remove_slb(v1, v3) = v8 & (v9 = v5 |  ~ less_than(v6, v3)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ~ contains_slb(v1, v3) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (remove_pqp(v0, v3) = v7 & triple(v7, v8, bad) = v9 & lookup_slb(v1, v3) = v6 & remove_slb(v1, v3) = v8 & (v9 = v5 |  ~ strictly_less_than(v3, v6)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) | triple(v0, v1, bad) = v5 | contains_slb(v1, v3)) &  ! [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] : ( ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ contains_slb(v0, v2) | contains_slb(v5, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (remove_pq(v3, v2) = v4) |  ~ (insert_pq(v0, v1) = v3) |  ~ contains_pq(v0, v2) |  ? [v5] : (remove_pq(v0, v2) = v5 & insert_pq(v5, v1) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (remove_pq(v0, v2) = v3) |  ~ (insert_pq(v3, v1) = v4) |  ~ contains_pq(v0, v2) |  ? [v5] : (remove_pq(v5, v2) = v4 & insert_pq(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] : ( ~ (triple(v0, v1, v2) = v4) |  ~ contains_cpq(v4, v3) | contains_slb(v1, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (triple(v0, v1, v2) = v4) |  ~ contains_cpq(v4, v3) |  ? [v5] : (i(v4) = v5 & contains_pq(v5, v3))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (triple(v0, v1, v2) = v4) |  ~ contains_slb(v1, v3) | contains_cpq(v4, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | pair_in_list(v4, v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | contains_slb(v4, v1)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | isnonempty_slb(v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (insert_pq(v3, v2) = v4) |  ~ (insert_pq(v0, v1) = v3) |  ? [v5] : (insert_pq(v5, v1) = v4 & insert_pq(v0, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (insert_pq(v3, v1) = v4) |  ~ (insert_pq(v0, v2) = v3) |  ? [v5] : (insert_pq(v5, v2) = v4 & insert_pq(v0, v1) = v5)) &  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (triple(v1, v2, v3) = v4) | contains_cpq(v4, v0) |  ? [v5] : (i(v4) = v5 &  ~ contains_pq(v5, v0))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (remove_pq(v2, v1) = v3) |  ~ (insert_pq(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (insert_pq(v0, v1) = v3) |  ~ contains_pq(v3, v2) | contains_pq(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = bad |  ~ (triple(v0, v1, v2) = v3) | ok(v3)) &  ! [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 |  ~ (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 |  ~ (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 |  ~ (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 |  ~ (removemin_pq_res(v3, v2) = v1) |  ~ (removemin_pq_res(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (removemin_pq_eff(v3, v2) = v1) |  ~ (removemin_pq_eff(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (findmin_pq_res(v3, v2) = v1) |  ~ (findmin_pq_res(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (findmin_pq_eff(v3, v2) = v1) |  ~ (findmin_pq_eff(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_pq(v3, v2) = v1) |  ~ (remove_pq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_pq(v3, v2) = v1) |  ~ (insert_pq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (findmin_pqp_res(v0) = v4 & triple(v0, v7, v2) = v8 & findmin_cpq_eff(v3) = v6 & update_slb(v1, v4) = v7 & lookup_slb(v1, v4) = v5 & (v8 = v6 |  ~ contains_slb(v1, v4) |  ~ less_than(v5, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (findmin_pqp_res(v0) = v4 & triple(v0, v7, bad) = v8 & findmin_cpq_eff(v3) = v6 & update_slb(v1, v4) = v7 & lookup_slb(v1, v4) = v5 & (v8 = v6 |  ~ contains_slb(v1, v4) |  ~ strictly_less_than(v4, v5)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (findmin_pqp_res(v0) = v4 & triple(v0, v6, bad) = v7 & findmin_cpq_eff(v3) = v5 & update_slb(v1, v4) = v6 & (v7 = v5 | contains_slb(v1, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ? [v4] : (findmin_cpq_res(v3) = v4 & findmin_pqp_res(v0) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (findmin_cpq_res(v0) = v2) |  ~ (findmin_cpq_eff(v0) = v1) |  ~ (remove_cpq(v1, v2) = v3) | removemin_cpq_eff(v0) = v3) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (triple(v0, v1, v2) = v3) |  ~ phi(v3) | ok(v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (findmin_cpq_res(v3) = v4 & findmin_cpq_eff(v3) = v5 & ( ~ ok(v5) | contains_cpq(v3, v4)))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (remove_cpq(v1, v2) = v3) |  ~ succ_cpq(v0, v1) | succ_cpq(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (insert_cpq(v1, v2) = v3) |  ~ succ_cpq(v0, v1) | succ_cpq(v0, v3)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (insert_pq(v0, v1) = v3) |  ~ contains_pq(v0, v2) | contains_pq(v3, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (removemin_pq_res(v0, v1) = v2) |  ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (findmin_pq_res(v0, v1) = v2) |  ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (findmin_pq_eff(v0, v1) = v2) |  ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (i(v2) = v1) |  ~ (i(v2) = v0)) &  ! [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 |  ~ (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] : ( ~ (i(v0) = v2) |  ~ pi_remove(v0, v1) | pi_sharp_remove(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (i(v0) = v2) |  ~ pi_sharp_remove(v2, v1) | pi_remove(v0, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (i(v0) = v1) |  ~ pi_sharp_find_min(v1, v2) | pi_removemin(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (i(v0) = v1) |  ~ pi_sharp_find_min(v1, v2) | pi_find_min(v0)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, v1, bad) = v2) |  ~ ok(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | i(v2) = create_pq) &  ! [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)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) |  ? [v3] : (triple(v0, create_slb, bad) = v3 & findmin_cpq_eff(v2) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (removemin_cpq_eff(v1) = v2) |  ~ succ_cpq(v0, v1) | succ_cpq(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (findmin_cpq_eff(v1) = v2) |  ~ succ_cpq(v0, v1) | succ_cpq(v0, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (removemin_pq_eff(v0, v1) = v2) |  ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1) | remove_pq(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (remove_pq(v0, v1) = v2) |  ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1) | removemin_pq_eff(v0, v1) = v2) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (insert_pq(v0, v1) = v2) | contains_pq(v2, v1)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (insert_pq(v0, v1) = v2) | isnonempty_pq(v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v2) | less_than(v1, v2)) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ less_than(v1, v2) |  ~ less_than(v0, v1) | less_than(v0, v2)) &  ! [v0] :  ! [v1] : (v1 = create_slb |  ~ (update_slb(create_slb, v0) = v1)) &  ! [v0] :  ! [v1] : ( ~ (i(v0) = v1) |  ~ pi_removemin(v0) |  ? [v2] : pi_sharp_find_min(v1, v2)) &  ! [v0] :  ! [v1] : ( ~ (i(v0) = v1) |  ~ pi_find_min(v0) |  ? [v2] : pi_sharp_find_min(v1, v2)) &  ! [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] : ( ~ (removemin_cpq_eff(v0) = v1) |  ? [v2] :  ? [v3] : (findmin_cpq_res(v0) = v3 & findmin_cpq_eff(v0) = v2 & remove_cpq(v2, v3) = v1)) &  ! [v0] :  ! [v1] : ( ~ pi_sharp_removemin(v0, v1) | issmallestelement_pq(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ pi_sharp_removemin(v0, v1) | contains_pq(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ pi_sharp_find_min(v0, v1) | issmallestelement_pq(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ pi_sharp_find_min(v0, v1) | contains_pq(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ pi_sharp_remove(v0, v1) | contains_pq(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ ok(v1) |  ~ check_cpq(v1) |  ~ succ_cpq(v0, v1) | phi(v0)) &  ! [v0] :  ! [v1] :  ~ pair_in_list(create_slb, v0, v1) &  ! [v0] :  ! [v1] : ( ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1) | pi_sharp_removemin(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1) | pi_sharp_find_min(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ contains_pq(v0, v1) | pi_sharp_remove(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ strictly_less_than(v0, v1) |  ~ less_than(v1, v0)) &  ! [v0] :  ! [v1] : ( ~ strictly_less_than(v0, v1) | less_than(v0, v1)) &  ! [v0] :  ! [v1] : ( ~ less_than(v0, v1) | strictly_less_than(v0, v1) | less_than(v1, v0)) &  ! [v0] : ( ~ phi(v0) |  ? [v1] : (ok(v1) & check_cpq(v1) & succ_cpq(v0, v1))) &  ! [v0] :  ~ contains_slb(create_slb, v0) &  ! [v0] :  ~ contains_pq(create_pq, v0) &  ? [v0] :  ? [v1] : (issmallestelement_pq(v0, v1) |  ? [v2] : (contains_pq(v0, v2) &  ~ less_than(v1, v2))) &  ? [v0] :  ? [v1] : (less_than(v1, v0) | less_than(v0, v1)) &  ? [v0] : succ_cpq(v0, v0) &  ? [v0] : less_than(v0, v0) &  ? [v0] : less_than(bottom, v0)
% 15.68/4.27  |
% 15.68/4.27  | Applying alpha-rule on (1) yields:
% 15.68/4.27  | (2)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (remove_pqp(v0, v3) = v4) |  ~ (triple(v4, v5, v2) = v6) |  ~ (remove_slb(v1, v3) = v5) |  ~ contains_slb(v1, v3) |  ? [v7] :  ? [v8] :  ? [v9] : (triple(v0, v1, v2) = v8 & remove_cpq(v8, v3) = v9 & lookup_slb(v1, v3) = v7 & (v9 = v6 |  ~ less_than(v7, v3))))
% 15.68/4.27  | (3)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (triple(v0, v1, v2) = v4) |  ~ contains_slb(v1, v3) | contains_cpq(v4, v3))
% 15.68/4.27  | (4)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (triple(v0, v1, v2) = v4) |  ~ contains_cpq(v4, v3) | contains_slb(v1, v3))
% 15.68/4.27  | (5)  ! [v0] :  ! [v1] : ( ~ pi_sharp_removemin(v0, v1) | contains_pq(v0, v1))
% 15.68/4.27  | (6)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | i(v2) = create_pq)
% 15.68/4.27  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ~ contains_slb(v1, v3) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (remove_pqp(v0, v3) = v7 & triple(v7, v8, bad) = v9 & lookup_slb(v1, v3) = v6 & remove_slb(v1, v3) = v8 & (v9 = v5 |  ~ strictly_less_than(v3, v6))))
% 15.68/4.27  | (8)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (remove_slb(v0, v2) = v5) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v5, v4) = v6) |  ~ contains_slb(v0, v2) |  ? [v7] : (remove_slb(v7, v2) = v6 & insert_slb(v0, v4) = v7))
% 15.68/4.27  | (9)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (lookup_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ contains_slb(v0, v2) | lookup_slb(v0, v2) = v6)
% 15.68/4.27  | (10)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ less_than(v2, v3) |  ? [v7] : (update_slb(v0, v2) = v7 & insert_slb(v7, v4) = v6))
% 15.68/4.27  | (11)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (findmin_cpq_res(v0) = v2) |  ~ (findmin_cpq_eff(v0) = v1) |  ~ (remove_cpq(v1, v2) = v3) | removemin_cpq_eff(v0) = v3)
% 15.68/4.27  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ~ contains_slb(v1, v3) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] : (remove_pqp(v0, v3) = v7 & triple(v7, v8, v2) = v9 & lookup_slb(v1, v3) = v6 & remove_slb(v1, v3) = v8 & (v9 = v5 |  ~ less_than(v6, v3))))
% 15.68/4.27  | (13)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | isnonempty_slb(v4))
% 15.68/4.27  | (14)  ! [v0] :  ! [v1] : ( ~ less_than(v0, v1) | strictly_less_than(v0, v1) | less_than(v1, v0))
% 15.68/4.27  | (15)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_pqp(v3, v2) = v1) |  ~ (insert_pqp(v3, v2) = v0))
% 15.68/4.27  | (16)  ! [v0] :  ! [v1] : (v1 = create_slb |  ~ (update_slb(create_slb, v0) = v1))
% 15.68/4.27  | (17)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) |  ~ pair_in_list(v6, v2, v4) | pair_in_list(v0, v2, v4))
% 15.68/4.27  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_slb(v3, v2) = v1) |  ~ (remove_slb(v3, v2) = v0))
% 15.68/4.27  | (19)  ? [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (triple(v1, v2, v3) = v4) | contains_cpq(v4, v0) |  ? [v5] : (i(v4) = v5 &  ~ contains_pq(v5, v0)))
% 15.68/4.27  | (20)  ! [v0] :  ~ contains_pq(create_pq, v0)
% 15.68/4.27  | (21)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) |  ? [v3] : (triple(v0, create_slb, bad) = v3 & findmin_cpq_eff(v2) = v3))
% 15.68/4.27  | (22)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_cpq_eff(v2) = v1) |  ~ (findmin_cpq_eff(v2) = v0))
% 15.68/4.28  | (23)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (i(v2) = v1) |  ~ (i(v2) = v0))
% 15.68/4.28  | (24)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | findmin_cpq_res(v2) = bottom)
% 15.68/4.28  | (25)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (triple(v0, v6, v2) = v7) |  ~ (pair(v3, v4) = v5) |  ~ (insert_slb(v1, v5) = v6) |  ~ check_cpq(v7) |  ~ strictly_less_than(v3, v4))
% 15.68/4.28  | (26)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (insert_pq(v3, v2) = v4) |  ~ (insert_pq(v0, v1) = v3) |  ? [v5] : (insert_pq(v5, v1) = v4 & insert_pq(v0, v2) = v5))
% 15.68/4.28  | (27)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | check_cpq(v2))
% 15.68/4.28  | (28)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (i(v0) = v1) |  ~ pi_sharp_find_min(v1, v2) | pi_find_min(v0))
% 15.68/4.28  | (29)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_pqp(v3, v2) = v1) |  ~ (remove_pqp(v3, v2) = v0))
% 15.68/4.28  | (30)  ? [v0] : less_than(bottom, v0)
% 15.68/4.28  | (31)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (removemin_pq_res(v0, v1) = v2) |  ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1))
% 15.68/4.28  | (32)  ~ isnonempty_slb(create_slb)
% 15.68/4.28  | (33)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (remove_pq(v0, v1) = v2) |  ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1) | removemin_pq_eff(v0, v1) = v2)
% 15.68/4.28  | (34)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_slb(v3, v2) = v1) |  ~ (insert_slb(v3, v2) = v0))
% 15.68/4.28  | (35)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v2) | less_than(v1, v2))
% 15.68/4.28  | (36)  ! [v0] :  ! [v1] : ( ~ (removemin_cpq_eff(v0) = v1) |  ? [v2] :  ? [v3] : (findmin_cpq_res(v0) = v3 & findmin_cpq_eff(v0) = v2 & remove_cpq(v2, v3) = v1))
% 15.68/4.28  | (37)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v1 = create_slb |  ~ (findmin_pqp_res(v0) = v3) |  ~ (triple(v0, v4, v2) = v5) |  ~ (update_slb(v1, v3) = v4) |  ~ contains_slb(v1, v3) |  ? [v6] :  ? [v7] :  ? [v8] : (triple(v0, v1, v2) = v7 & findmin_cpq_eff(v7) = v8 & lookup_slb(v1, v3) = v6 & (v8 = v5 |  ~ less_than(v6, v3))))
% 15.68/4.28  | (38) triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3
% 16.17/4.28  | (39)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (remove_pq(v2, v1) = v3) |  ~ (insert_pq(v0, v1) = v2))
% 16.17/4.28  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (insert_cpq(v1, v2) = v3) |  ~ succ_cpq(v0, v1) | succ_cpq(v0, v3))
% 16.17/4.28  | (41)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (findmin_pqp_res(v0) = v4 & triple(v0, v7, v2) = v8 & findmin_cpq_eff(v3) = v6 & update_slb(v1, v4) = v7 & lookup_slb(v1, v4) = v5 & (v8 = v6 |  ~ contains_slb(v1, v4) |  ~ less_than(v5, v4))))
% 16.17/4.28  | (42)  ? [v0] : succ_cpq(v0, v0)
% 16.17/4.28  | (43)  ! [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))
% 16.17/4.28  | (44)  ! [v0] :  ! [v1] : ( ~ strictly_less_than(v0, v1) | less_than(v0, v1))
% 16.17/4.28  | (45)  ? [v0] : less_than(v0, v0)
% 16.17/4.28  | (46)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (triple(v0, v1, v2) = v4) |  ~ contains_cpq(v4, v3) |  ? [v5] : (i(v4) = v5 & contains_pq(v5, v3)))
% 16.17/4.28  | (47)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pair(v3, v2) = v1) |  ~ (pair(v3, v2) = v0))
% 16.17/4.28  | (48)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] : (findmin_cpq_res(v3) = v4 & findmin_cpq_eff(v3) = v5 & ( ~ ok(v5) | contains_cpq(v3, v4))))
% 16.17/4.29  | (49)  ! [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))
% 16.17/4.29  | (50)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ? [v4] : (findmin_cpq_res(v3) = v4 & findmin_pqp_res(v0) = v4))
% 16.17/4.29  | (51)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v2 |  ~ (lookup_slb(v4, v1) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4))
% 16.17/4.29  | (52)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_cpq(v3, v2) = v1) |  ~ (insert_cpq(v3, v2) = v0))
% 16.17/4.29  | (53)  ~ contains_pq(all_0_1_1, all_0_0_0)
% 16.17/4.29  | (54)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_pq(v3, v2) = v1) |  ~ (insert_pq(v3, v2) = v0))
% 16.17/4.29  | (55)  ! [v0] :  ! [v1] : ( ~ (i(v0) = v1) |  ~ pi_find_min(v0) |  ? [v2] : pi_sharp_find_min(v1, v2))
% 16.17/4.29  | (56)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ less_than(v1, v2) |  ~ less_than(v0, v1) | less_than(v0, v2))
% 16.17/4.29  | (57) i(all_0_3_3) = all_0_1_1
% 16.17/4.29  | (58)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (i(v0) = v2) |  ~ pi_sharp_remove(v2, v1) | pi_remove(v0, v1))
% 16.17/4.29  | (59)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (i(v0) = v2) |  ~ pi_remove(v0, v1) | pi_sharp_remove(v2, v1))
% 16.17/4.29  | (60) phi(all_0_2_2)
% 16.17/4.29  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = bad |  ~ (triple(v0, v1, v2) = v3) | ok(v3))
% 16.17/4.29  | (62)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] : (findmin_pqp_res(v0) = v4 & triple(v0, v7, bad) = v8 & findmin_cpq_eff(v3) = v6 & update_slb(v1, v4) = v7 & lookup_slb(v1, v4) = v5 & (v8 = v6 |  ~ contains_slb(v1, v4) |  ~ strictly_less_than(v4, v5))))
% 16.17/4.29  | (63)  ? [v0] :  ? [v1] : (issmallestelement_pq(v0, v1) |  ? [v2] : (contains_pq(v0, v2) &  ~ less_than(v1, v2)))
% 16.17/4.29  | (64)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (findmin_pq_res(v0, v1) = v2) |  ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1))
% 16.17/4.29  | (65)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_cpq(v3, v2) = v1) |  ~ (remove_cpq(v3, v2) = v0))
% 16.17/4.29  | (66)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (findmin_pq_eff(v0, v1) = v2) |  ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1))
% 16.17/4.29  | (67)  ! [v0] : ( ~ phi(v0) |  ? [v1] : (ok(v1) & check_cpq(v1) & succ_cpq(v0, v1)))
% 16.17/4.29  | (68)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_pqp_res(v2) = v1) |  ~ (findmin_pqp_res(v2) = v0))
% 16.17/4.29  | (69)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (removemin_pq_eff(v3, v2) = v1) |  ~ (removemin_pq_eff(v3, v2) = v0))
% 16.17/4.29  | (70)  ! [v0] :  ! [v1] : ( ~ pi_sharp_find_min(v0, v1) | contains_pq(v0, v1))
% 16.17/4.29  | (71)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (removemin_pq_eff(v0, v1) = v2) |  ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1) | remove_pq(v0, v1) = v2)
% 16.17/4.29  | (72)  ! [v0] :  ! [v1] : ( ~ (findmin_cpq_res(v0) = v1) | removemin_cpq_res(v0) = v1)
% 16.17/4.29  | (73)  ! [v0] :  ! [v1] : ( ~ (removemin_cpq_res(v0) = v1) | findmin_cpq_res(v0) = v1)
% 16.17/4.29  | (74)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) | triple(v0, v1, bad) = v5 | contains_slb(v1, v3))
% 16.17/4.29  | (75)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v2 = v1 |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ contains_slb(v5, v2) | contains_slb(v0, v2))
% 16.17/4.29  | (76)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (remove_pq(v3, v2) = v4) |  ~ (insert_pq(v0, v1) = v3) |  ~ contains_pq(v0, v2) |  ? [v5] : (remove_pq(v0, v2) = v5 & insert_pq(v5, v1) = v4))
% 16.17/4.29  | (77)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (insert_pq(v0, v1) = v3) |  ~ contains_pq(v3, v2) | contains_pq(v0, v2))
% 16.17/4.29  | (78)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (triple(v4, v3, v2) = v1) |  ~ (triple(v4, v3, v2) = v0))
% 16.17/4.30  | (79)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (findmin_pq_eff(v3, v2) = v1) |  ~ (findmin_pq_eff(v3, v2) = v0))
% 16.17/4.30  | (80)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (findmin_pq_res(v3, v2) = v1) |  ~ (findmin_pq_res(v3, v2) = v0))
% 16.17/4.30  | (81)  ! [v0] :  ! [v1] : ( ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1) | pi_sharp_find_min(v0, v1))
% 16.17/4.30  | (82)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (removemin_cpq_res(v2) = v1) |  ~ (removemin_cpq_res(v2) = v0))
% 16.17/4.30  | (83)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (insert_pq(v0, v1) = v2) | isnonempty_pq(v2))
% 16.17/4.30  | (84)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v4 = v3 |  ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) |  ~ pair_in_list(v6, v2, v4) | pair_in_list(v0, v2, v4))
% 16.17/4.30  | (85)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (findmin_cpq_eff(v1) = v2) |  ~ succ_cpq(v0, v1) | succ_cpq(v0, v2))
% 16.17/4.30  | (86)  ! [v0] :  ! [v1] : ( ~ strictly_less_than(v0, v1) |  ~ less_than(v1, v0))
% 16.17/4.30  | (87)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ contains_slb(v0, v2) | contains_slb(v5, v2))
% 16.17/4.30  | (88)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (insert_pq(v3, v1) = v4) |  ~ (insert_pq(v0, v2) = v3) |  ? [v5] : (insert_pq(v5, v2) = v4 & insert_pq(v0, v1) = v5))
% 16.17/4.30  | (89)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_cpq_res(v2) = v1) |  ~ (findmin_cpq_res(v2) = v0))
% 16.17/4.30  | (90) findmin_cpq_res(all_0_3_3) = all_0_0_0
% 16.17/4.30  | (91)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v0 |  ~ (remove_slb(v4, v1) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4))
% 16.17/4.30  | (92)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ strictly_less_than(v3, v2) |  ? [v7] :  ? [v8] : (update_slb(v0, v2) = v7 & pair(v1, v2) = v8 & insert_slb(v7, v8) = v6))
% 16.17/4.30  | (93)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (pair(v1, v3) = v5) |  ~ (insert_slb(v0, v5) = v6) |  ~ pair_in_list(v0, v2, v4) | pair_in_list(v6, v2, v4))
% 16.17/4.30  | (94)  ! [v0] :  ! [v1] : ( ~ ok(v1) |  ~ check_cpq(v1) |  ~ succ_cpq(v0, v1) | phi(v0))
% 16.17/4.30  | (95)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (lookup_slb(v3, v2) = v1) |  ~ (lookup_slb(v3, v2) = v0))
% 16.17/4.30  | (96)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | pair_in_list(v4, v1, v2))
% 16.25/4.30  | (97)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (remove_cpq(v1, v2) = v3) |  ~ succ_cpq(v0, v1) | succ_cpq(v0, v3))
% 16.25/4.30  | (98)  ! [v0] :  ! [v1] : ( ~ issmallestelement_pq(v0, v1) |  ~ contains_pq(v0, v1) | pi_sharp_removemin(v0, v1))
% 16.25/4.30  | (99)  ! [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] : (i(v9) = v10 & i(v7) = v8 & triple(v0, v1, v2) = v9 & insert_pq(v10, v3) = v8))
% 16.25/4.30  | (100)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (insert_pq(v0, v1) = v3) |  ~ contains_pq(v0, v2) | contains_pq(v3, v2))
% 16.25/4.30  | (101)  ! [v0] :  ! [v1] : ( ~ contains_pq(v0, v1) | pi_sharp_remove(v0, v1))
% 16.25/4.30  | (102)  ! [v0] :  ! [v1] : ( ~ pi_sharp_remove(v0, v1) | contains_pq(v0, v1))
% 16.25/4.30  | (103)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_pq(v3, v2) = v1) |  ~ (remove_pq(v3, v2) = v0))
% 16.25/4.30  | (104)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | contains_slb(v4, v1))
% 16.25/4.30  | (105)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (insert_pq(v0, v1) = v2) | contains_pq(v2, v1))
% 16.25/4.30  | (106)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, v1, bad) = v2) |  ~ ok(v2))
% 16.25/4.30  | (107)  ! [v0] :  ! [v1] : ( ~ (i(v0) = v1) |  ~ pi_removemin(v0) |  ? [v2] : pi_sharp_find_min(v1, v2))
% 16.25/4.30  | (108)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (triple(v0, v1, v2) = v3) |  ~ phi(v3) | ok(v3))
% 16.25/4.30  | (109)  ! [v0] :  ! [v1] : ( ~ pi_sharp_find_min(v0, v1) | issmallestelement_pq(v0, v1))
% 16.25/4.30  | (110)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (remove_pq(v0, v2) = v3) |  ~ (insert_pq(v3, v1) = v4) |  ~ contains_pq(v0, v2) |  ? [v5] : (remove_pq(v5, v2) = v4 & insert_pq(v0, v1) = v5))
% 16.25/4.30  | (111)  ! [v0] :  ! [v1] :  ~ pair_in_list(create_slb, v0, v1)
% 16.25/4.30  | (112)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (i(v0) = v1) |  ~ pi_sharp_find_min(v1, v2) | pi_removemin(v0))
% 16.25/4.31  | (113)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (remove_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ~ contains_slb(v0, v2) |  ? [v7] : (remove_slb(v0, v2) = v7 & insert_slb(v7, v4) = v6))
% 16.25/4.31  | (114)  ~ isnonempty_pq(create_pq)
% 16.25/4.31  | (115)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v0, v2) = v5) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v5, v4) = v6) |  ~ less_than(v2, v3) |  ? [v7] : (update_slb(v7, v2) = v6 & insert_slb(v0, v4) = v7))
% 16.25/4.31  | (116)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (removemin_pq_res(v3, v2) = v1) |  ~ (removemin_pq_res(v3, v2) = v0))
% 16.25/4.31  | (117)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (removemin_cpq_eff(v1) = v2) |  ~ succ_cpq(v0, v1) | succ_cpq(v0, v2))
% 16.25/4.31  | (118)  ? [v0] :  ? [v1] : (less_than(v1, v0) | less_than(v0, v1))
% 16.25/4.31  | (119)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (triple(v0, v6, v2) = v7) |  ~ (pair(v3, v4) = v5) |  ~ (insert_slb(v1, v5) = v6) |  ~ less_than(v4, v3) |  ? [v8] : (triple(v0, v1, v2) = v8 & ( ~ check_cpq(v8) | check_cpq(v7)) & ( ~ check_cpq(v7) | check_cpq(v8))))
% 16.25/4.31  | (120)  ! [v0] :  ~ contains_slb(create_slb, v0)
% 16.25/4.31  | (121)  ! [v0] :  ! [v1] : ( ~ pi_sharp_removemin(v0, v1) | issmallestelement_pq(v0, v1))
% 16.25/4.31  | (122)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (update_slb(v3, v2) = v1) |  ~ (update_slb(v3, v2) = v0))
% 16.25/4.31  | (123)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] : (findmin_pqp_res(v0) = v4 & triple(v0, v6, bad) = v7 & findmin_cpq_eff(v3) = v5 & update_slb(v1, v4) = v6 & (v7 = v5 | contains_slb(v1, v4))))
% 16.25/4.31  | (124) findmin_cpq_eff(all_0_3_3) = all_0_2_2
% 16.25/4.31  | (125)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (removemin_cpq_eff(v2) = v1) |  ~ (removemin_cpq_eff(v2) = v0))
% 16.25/4.31  |
% 16.25/4.31  | Instantiating (19) with all_11_0_14 yields:
% 16.25/4.31  | (126)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (triple(v0, v1, v2) = v3) | contains_cpq(v3, all_11_0_14) |  ? [v4] : (i(v3) = v4 &  ~ contains_pq(v4, all_11_0_14)))
% 16.25/4.31  |
% 16.25/4.31  | Instantiating formula (41) with all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, yields:
% 16.25/4.31  | (127) all_0_5_5 = create_slb |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (findmin_pqp_res(all_0_6_6) = v0 & triple(all_0_6_6, v3, all_0_4_4) = v4 & findmin_cpq_eff(all_0_3_3) = v2 & update_slb(all_0_5_5, v0) = v3 & lookup_slb(all_0_5_5, v0) = v1 & (v4 = v2 |  ~ contains_slb(all_0_5_5, v0) |  ~ less_than(v1, v0)))
% 16.25/4.31  |
% 16.25/4.31  | Instantiating formula (62) with all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, yields:
% 16.25/4.31  | (128) all_0_5_5 = create_slb |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (findmin_pqp_res(all_0_6_6) = v0 & triple(all_0_6_6, v3, bad) = v4 & findmin_cpq_eff(all_0_3_3) = v2 & update_slb(all_0_5_5, v0) = v3 & lookup_slb(all_0_5_5, v0) = v1 & (v4 = v2 |  ~ contains_slb(all_0_5_5, v0) |  ~ strictly_less_than(v0, v1)))
% 16.25/4.31  |
% 16.25/4.31  | Instantiating formula (123) with all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, yields:
% 16.25/4.31  | (129) all_0_5_5 = create_slb |  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (findmin_pqp_res(all_0_6_6) = v0 & triple(all_0_6_6, v2, bad) = v3 & findmin_cpq_eff(all_0_3_3) = v1 & update_slb(all_0_5_5, v0) = v2 & (v3 = v1 | contains_slb(all_0_5_5, v0)))
% 16.25/4.31  |
% 16.25/4.31  | Instantiating formula (50) with all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, yields:
% 16.25/4.31  | (130) all_0_5_5 = create_slb |  ? [v0] : (findmin_cpq_res(all_0_3_3) = v0 & findmin_pqp_res(all_0_6_6) = v0)
% 16.25/4.31  |
% 16.25/4.31  | Instantiating formula (126) with all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, yields:
% 16.25/4.31  | (131) contains_cpq(all_0_3_3, all_11_0_14) |  ? [v0] : (i(all_0_3_3) = v0 &  ~ contains_pq(v0, all_11_0_14))
% 16.25/4.31  |
% 16.25/4.31  | Instantiating formula (48) with all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, yields:
% 16.25/4.31  | (132)  ? [v0] :  ? [v1] : (findmin_cpq_res(all_0_3_3) = v0 & findmin_cpq_eff(all_0_3_3) = v1 & ( ~ ok(v1) | contains_cpq(all_0_3_3, v0)))
% 16.25/4.31  |
% 16.25/4.31  | Instantiating (132) with all_21_0_16, all_21_1_17 yields:
% 16.25/4.31  | (133) findmin_cpq_res(all_0_3_3) = all_21_1_17 & findmin_cpq_eff(all_0_3_3) = all_21_0_16 & ( ~ ok(all_21_0_16) | contains_cpq(all_0_3_3, all_21_1_17))
% 16.25/4.31  |
% 16.25/4.31  | Applying alpha-rule on (133) yields:
% 16.25/4.31  | (134) findmin_cpq_res(all_0_3_3) = all_21_1_17
% 16.25/4.31  | (135) findmin_cpq_eff(all_0_3_3) = all_21_0_16
% 16.25/4.31  | (136)  ~ ok(all_21_0_16) | contains_cpq(all_0_3_3, all_21_1_17)
% 16.25/4.31  |
% 16.25/4.31  | Instantiating formula (89) with all_0_3_3, all_21_1_17, all_0_0_0 and discharging atoms findmin_cpq_res(all_0_3_3) = all_21_1_17, findmin_cpq_res(all_0_3_3) = all_0_0_0, yields:
% 16.25/4.31  | (137) all_21_1_17 = all_0_0_0
% 16.25/4.31  |
% 16.25/4.31  | Instantiating formula (22) with all_0_3_3, all_21_0_16, all_0_2_2 and discharging atoms findmin_cpq_eff(all_0_3_3) = all_21_0_16, findmin_cpq_eff(all_0_3_3) = all_0_2_2, yields:
% 16.25/4.31  | (138) all_21_0_16 = all_0_2_2
% 16.25/4.31  |
% 16.25/4.31  | From (137) and (134) follows:
% 16.25/4.32  | (90) findmin_cpq_res(all_0_3_3) = all_0_0_0
% 16.25/4.32  |
% 16.25/4.32  | From (138) and (135) follows:
% 16.25/4.32  | (124) findmin_cpq_eff(all_0_3_3) = all_0_2_2
% 16.25/4.32  |
% 16.25/4.32  +-Applying beta-rule and splitting (130), into two cases.
% 16.25/4.32  |-Branch one:
% 16.25/4.32  | (141) all_0_5_5 = create_slb
% 16.25/4.32  |
% 16.25/4.32  	| From (141) and (38) follows:
% 16.25/4.32  	| (142) triple(all_0_6_6, create_slb, all_0_4_4) = all_0_3_3
% 16.25/4.32  	|
% 16.25/4.32  	| Instantiating formula (21) with all_0_3_3, all_0_4_4, all_0_6_6 and discharging atoms triple(all_0_6_6, create_slb, all_0_4_4) = all_0_3_3, yields:
% 16.25/4.32  	| (143)  ? [v0] : (triple(all_0_6_6, create_slb, bad) = v0 & findmin_cpq_eff(all_0_3_3) = v0)
% 16.25/4.32  	|
% 16.25/4.32  	| Instantiating formula (48) with all_0_3_3, all_0_4_4, create_slb, all_0_6_6 and discharging atoms triple(all_0_6_6, create_slb, all_0_4_4) = all_0_3_3, yields:
% 16.25/4.32  	| (132)  ? [v0] :  ? [v1] : (findmin_cpq_res(all_0_3_3) = v0 & findmin_cpq_eff(all_0_3_3) = v1 & ( ~ ok(v1) | contains_cpq(all_0_3_3, v0)))
% 16.25/4.32  	|
% 16.25/4.32  	| Instantiating (132) with all_61_0_18, all_61_1_19 yields:
% 16.25/4.32  	| (145) findmin_cpq_res(all_0_3_3) = all_61_1_19 & findmin_cpq_eff(all_0_3_3) = all_61_0_18 & ( ~ ok(all_61_0_18) | contains_cpq(all_0_3_3, all_61_1_19))
% 16.25/4.32  	|
% 16.25/4.32  	| Applying alpha-rule on (145) yields:
% 16.25/4.32  	| (146) findmin_cpq_res(all_0_3_3) = all_61_1_19
% 16.25/4.32  	| (147) findmin_cpq_eff(all_0_3_3) = all_61_0_18
% 16.25/4.32  	| (148)  ~ ok(all_61_0_18) | contains_cpq(all_0_3_3, all_61_1_19)
% 16.25/4.32  	|
% 16.25/4.32  	| Instantiating (143) with all_63_0_20 yields:
% 16.25/4.32  	| (149) triple(all_0_6_6, create_slb, bad) = all_63_0_20 & findmin_cpq_eff(all_0_3_3) = all_63_0_20
% 16.25/4.32  	|
% 16.25/4.32  	| Applying alpha-rule on (149) yields:
% 16.25/4.32  	| (150) triple(all_0_6_6, create_slb, bad) = all_63_0_20
% 16.25/4.32  	| (151) findmin_cpq_eff(all_0_3_3) = all_63_0_20
% 16.25/4.32  	|
% 16.25/4.32  	| Instantiating formula (22) with all_0_3_3, all_63_0_20, all_0_2_2 and discharging atoms findmin_cpq_eff(all_0_3_3) = all_63_0_20, findmin_cpq_eff(all_0_3_3) = all_0_2_2, yields:
% 16.25/4.32  	| (152) all_63_0_20 = all_0_2_2
% 16.25/4.32  	|
% 16.25/4.32  	| Instantiating formula (22) with all_0_3_3, all_61_0_18, all_63_0_20 and discharging atoms findmin_cpq_eff(all_0_3_3) = all_63_0_20, findmin_cpq_eff(all_0_3_3) = all_61_0_18, yields:
% 16.25/4.32  	| (153) all_63_0_20 = all_61_0_18
% 16.25/4.32  	|
% 16.25/4.32  	| Combining equations (152,153) yields a new equation:
% 16.25/4.32  	| (154) all_61_0_18 = all_0_2_2
% 16.25/4.32  	|
% 16.25/4.32  	| Combining equations (154,153) yields a new equation:
% 16.25/4.32  	| (152) all_63_0_20 = all_0_2_2
% 16.25/4.32  	|
% 16.25/4.32  	| From (152) and (150) follows:
% 16.25/4.32  	| (156) triple(all_0_6_6, create_slb, bad) = all_0_2_2
% 16.25/4.32  	|
% 16.25/4.32  	| Instantiating formula (108) with all_0_2_2, bad, create_slb, all_0_6_6 and discharging atoms triple(all_0_6_6, create_slb, bad) = all_0_2_2, phi(all_0_2_2), yields:
% 16.25/4.32  	| (157) ok(all_0_2_2)
% 16.25/4.32  	|
% 16.25/4.32  	+-Applying beta-rule and splitting (136), into two cases.
% 16.25/4.32  	|-Branch one:
% 16.25/4.32  	| (158)  ~ ok(all_21_0_16)
% 16.25/4.32  	|
% 16.25/4.32  		| From (138) and (158) follows:
% 16.25/4.32  		| (159)  ~ ok(all_0_2_2)
% 16.25/4.32  		|
% 16.25/4.32  		| Using (157) and (159) yields:
% 16.25/4.32  		| (160) $false
% 16.25/4.32  		|
% 16.25/4.32  		|-The branch is then unsatisfiable
% 16.25/4.32  	|-Branch two:
% 16.25/4.32  	| (161) ok(all_21_0_16)
% 16.25/4.32  	| (162) contains_cpq(all_0_3_3, all_21_1_17)
% 16.25/4.32  	|
% 16.25/4.32  		| From (138) and (161) follows:
% 16.25/4.32  		| (157) ok(all_0_2_2)
% 16.25/4.32  		|
% 16.25/4.32  		| Instantiating formula (106) with all_0_2_2, create_slb, all_0_6_6 and discharging atoms triple(all_0_6_6, create_slb, bad) = all_0_2_2, ok(all_0_2_2), yields:
% 16.25/4.32  		| (160) $false
% 16.25/4.32  		|
% 16.25/4.32  		|-The branch is then unsatisfiable
% 16.25/4.32  |-Branch two:
% 16.25/4.32  | (165)  ~ (all_0_5_5 = create_slb)
% 16.25/4.32  | (166)  ? [v0] : (findmin_cpq_res(all_0_3_3) = v0 & findmin_pqp_res(all_0_6_6) = v0)
% 16.25/4.32  |
% 16.25/4.32  	| Instantiating (166) with all_55_0_24 yields:
% 16.25/4.32  	| (167) findmin_cpq_res(all_0_3_3) = all_55_0_24 & findmin_pqp_res(all_0_6_6) = all_55_0_24
% 16.25/4.32  	|
% 16.25/4.32  	| Applying alpha-rule on (167) yields:
% 16.25/4.32  	| (168) findmin_cpq_res(all_0_3_3) = all_55_0_24
% 16.25/4.32  	| (169) findmin_pqp_res(all_0_6_6) = all_55_0_24
% 16.25/4.32  	|
% 16.25/4.32  	+-Applying beta-rule and splitting (129), into two cases.
% 16.25/4.32  	|-Branch one:
% 16.25/4.32  	| (141) all_0_5_5 = create_slb
% 16.25/4.32  	|
% 16.25/4.32  		| Equations (141) can reduce 165 to:
% 16.25/4.32  		| (171) $false
% 16.25/4.32  		|
% 16.25/4.32  		|-The branch is then unsatisfiable
% 16.25/4.32  	|-Branch two:
% 16.25/4.32  	| (165)  ~ (all_0_5_5 = create_slb)
% 16.25/4.32  	| (173)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (findmin_pqp_res(all_0_6_6) = v0 & triple(all_0_6_6, v2, bad) = v3 & findmin_cpq_eff(all_0_3_3) = v1 & update_slb(all_0_5_5, v0) = v2 & (v3 = v1 | contains_slb(all_0_5_5, v0)))
% 16.25/4.32  	|
% 16.25/4.32  		| Instantiating (173) with all_61_0_25, all_61_1_26, all_61_2_27, all_61_3_28 yields:
% 16.25/4.32  		| (174) findmin_pqp_res(all_0_6_6) = all_61_3_28 & triple(all_0_6_6, all_61_1_26, bad) = all_61_0_25 & findmin_cpq_eff(all_0_3_3) = all_61_2_27 & update_slb(all_0_5_5, all_61_3_28) = all_61_1_26 & (all_61_0_25 = all_61_2_27 | contains_slb(all_0_5_5, all_61_3_28))
% 16.25/4.32  		|
% 16.25/4.32  		| Applying alpha-rule on (174) yields:
% 16.25/4.32  		| (175) findmin_cpq_eff(all_0_3_3) = all_61_2_27
% 16.25/4.32  		| (176) all_61_0_25 = all_61_2_27 | contains_slb(all_0_5_5, all_61_3_28)
% 16.25/4.32  		| (177) triple(all_0_6_6, all_61_1_26, bad) = all_61_0_25
% 16.25/4.32  		| (178) update_slb(all_0_5_5, all_61_3_28) = all_61_1_26
% 16.25/4.32  		| (179) findmin_pqp_res(all_0_6_6) = all_61_3_28
% 16.25/4.32  		|
% 16.25/4.32  		+-Applying beta-rule and splitting (127), into two cases.
% 16.25/4.32  		|-Branch one:
% 16.25/4.32  		| (141) all_0_5_5 = create_slb
% 16.25/4.32  		|
% 16.25/4.32  			| Equations (141) can reduce 165 to:
% 16.25/4.32  			| (171) $false
% 16.25/4.32  			|
% 16.25/4.32  			|-The branch is then unsatisfiable
% 16.25/4.32  		|-Branch two:
% 16.25/4.32  		| (165)  ~ (all_0_5_5 = create_slb)
% 16.25/4.32  		| (183)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (findmin_pqp_res(all_0_6_6) = v0 & triple(all_0_6_6, v3, all_0_4_4) = v4 & findmin_cpq_eff(all_0_3_3) = v2 & update_slb(all_0_5_5, v0) = v3 & lookup_slb(all_0_5_5, v0) = v1 & (v4 = v2 |  ~ contains_slb(all_0_5_5, v0) |  ~ less_than(v1, v0)))
% 16.25/4.32  		|
% 16.25/4.33  			| Instantiating (183) with all_66_0_29, all_66_1_30, all_66_2_31, all_66_3_32, all_66_4_33 yields:
% 16.25/4.33  			| (184) findmin_pqp_res(all_0_6_6) = all_66_4_33 & triple(all_0_6_6, all_66_1_30, all_0_4_4) = all_66_0_29 & findmin_cpq_eff(all_0_3_3) = all_66_2_31 & update_slb(all_0_5_5, all_66_4_33) = all_66_1_30 & lookup_slb(all_0_5_5, all_66_4_33) = all_66_3_32 & (all_66_0_29 = all_66_2_31 |  ~ contains_slb(all_0_5_5, all_66_4_33) |  ~ less_than(all_66_3_32, all_66_4_33))
% 16.25/4.33  			|
% 16.25/4.33  			| Applying alpha-rule on (184) yields:
% 16.25/4.33  			| (185) update_slb(all_0_5_5, all_66_4_33) = all_66_1_30
% 16.25/4.33  			| (186) triple(all_0_6_6, all_66_1_30, all_0_4_4) = all_66_0_29
% 16.25/4.33  			| (187) findmin_cpq_eff(all_0_3_3) = all_66_2_31
% 16.25/4.33  			| (188) lookup_slb(all_0_5_5, all_66_4_33) = all_66_3_32
% 16.25/4.33  			| (189) findmin_pqp_res(all_0_6_6) = all_66_4_33
% 16.25/4.33  			| (190) all_66_0_29 = all_66_2_31 |  ~ contains_slb(all_0_5_5, all_66_4_33) |  ~ less_than(all_66_3_32, all_66_4_33)
% 16.25/4.33  			|
% 16.25/4.33  			+-Applying beta-rule and splitting (128), into two cases.
% 16.25/4.33  			|-Branch one:
% 16.25/4.33  			| (141) all_0_5_5 = create_slb
% 16.25/4.33  			|
% 16.25/4.33  				| Equations (141) can reduce 165 to:
% 16.25/4.33  				| (171) $false
% 16.25/4.33  				|
% 16.25/4.33  				|-The branch is then unsatisfiable
% 16.25/4.33  			|-Branch two:
% 16.25/4.33  			| (165)  ~ (all_0_5_5 = create_slb)
% 16.25/4.33  			| (194)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] : (findmin_pqp_res(all_0_6_6) = v0 & triple(all_0_6_6, v3, bad) = v4 & findmin_cpq_eff(all_0_3_3) = v2 & update_slb(all_0_5_5, v0) = v3 & lookup_slb(all_0_5_5, v0) = v1 & (v4 = v2 |  ~ contains_slb(all_0_5_5, v0) |  ~ strictly_less_than(v0, v1)))
% 16.25/4.33  			|
% 16.25/4.33  				| Instantiating (194) with all_71_0_34, all_71_1_35, all_71_2_36, all_71_3_37, all_71_4_38 yields:
% 16.25/4.33  				| (195) findmin_pqp_res(all_0_6_6) = all_71_4_38 & triple(all_0_6_6, all_71_1_35, bad) = all_71_0_34 & findmin_cpq_eff(all_0_3_3) = all_71_2_36 & update_slb(all_0_5_5, all_71_4_38) = all_71_1_35 & lookup_slb(all_0_5_5, all_71_4_38) = all_71_3_37 & (all_71_0_34 = all_71_2_36 |  ~ contains_slb(all_0_5_5, all_71_4_38) |  ~ strictly_less_than(all_71_4_38, all_71_3_37))
% 16.25/4.33  				|
% 16.25/4.33  				| Applying alpha-rule on (195) yields:
% 16.25/4.33  				| (196) findmin_pqp_res(all_0_6_6) = all_71_4_38
% 16.25/4.33  				| (197) triple(all_0_6_6, all_71_1_35, bad) = all_71_0_34
% 16.25/4.33  				| (198) lookup_slb(all_0_5_5, all_71_4_38) = all_71_3_37
% 16.25/4.33  				| (199) update_slb(all_0_5_5, all_71_4_38) = all_71_1_35
% 16.25/4.33  				| (200) all_71_0_34 = all_71_2_36 |  ~ contains_slb(all_0_5_5, all_71_4_38) |  ~ strictly_less_than(all_71_4_38, all_71_3_37)
% 16.25/4.33  				| (201) findmin_cpq_eff(all_0_3_3) = all_71_2_36
% 16.25/4.33  				|
% 16.25/4.33  				| Instantiating formula (89) with all_0_3_3, all_55_0_24, all_0_0_0 and discharging atoms findmin_cpq_res(all_0_3_3) = all_55_0_24, findmin_cpq_res(all_0_3_3) = all_0_0_0, yields:
% 16.25/4.33  				| (202) all_55_0_24 = all_0_0_0
% 16.25/4.33  				|
% 16.25/4.33  				| Instantiating formula (68) with all_0_6_6, all_66_4_33, all_71_4_38 and discharging atoms findmin_pqp_res(all_0_6_6) = all_71_4_38, findmin_pqp_res(all_0_6_6) = all_66_4_33, yields:
% 16.25/4.33  				| (203) all_71_4_38 = all_66_4_33
% 16.25/4.33  				|
% 16.25/4.33  				| Instantiating formula (68) with all_0_6_6, all_61_3_28, all_71_4_38 and discharging atoms findmin_pqp_res(all_0_6_6) = all_71_4_38, findmin_pqp_res(all_0_6_6) = all_61_3_28, yields:
% 16.25/4.33  				| (204) all_71_4_38 = all_61_3_28
% 16.25/4.33  				|
% 16.25/4.33  				| Instantiating formula (68) with all_0_6_6, all_55_0_24, all_71_4_38 and discharging atoms findmin_pqp_res(all_0_6_6) = all_71_4_38, findmin_pqp_res(all_0_6_6) = all_55_0_24, yields:
% 16.25/4.33  				| (205) all_71_4_38 = all_55_0_24
% 16.25/4.33  				|
% 16.25/4.33  				| Instantiating formula (22) with all_0_3_3, all_71_2_36, all_0_2_2 and discharging atoms findmin_cpq_eff(all_0_3_3) = all_71_2_36, findmin_cpq_eff(all_0_3_3) = all_0_2_2, yields:
% 16.25/4.33  				| (206) all_71_2_36 = all_0_2_2
% 16.25/4.33  				|
% 16.25/4.33  				| Instantiating formula (22) with all_0_3_3, all_66_2_31, all_71_2_36 and discharging atoms findmin_cpq_eff(all_0_3_3) = all_71_2_36, findmin_cpq_eff(all_0_3_3) = all_66_2_31, yields:
% 16.25/4.33  				| (207) all_71_2_36 = all_66_2_31
% 16.25/4.33  				|
% 16.25/4.33  				| Instantiating formula (22) with all_0_3_3, all_61_2_27, all_66_2_31 and discharging atoms findmin_cpq_eff(all_0_3_3) = all_66_2_31, findmin_cpq_eff(all_0_3_3) = all_61_2_27, yields:
% 16.25/4.33  				| (208) all_66_2_31 = all_61_2_27
% 16.25/4.33  				|
% 16.25/4.33  				| Combining equations (207,206) yields a new equation:
% 16.25/4.33  				| (209) all_66_2_31 = all_0_2_2
% 16.25/4.33  				|
% 16.25/4.33  				| Simplifying 209 yields:
% 16.25/4.33  				| (210) all_66_2_31 = all_0_2_2
% 16.25/4.33  				|
% 16.25/4.33  				| Combining equations (204,203) yields a new equation:
% 16.25/4.33  				| (211) all_66_4_33 = all_61_3_28
% 16.25/4.33  				|
% 16.25/4.33  				| Combining equations (205,203) yields a new equation:
% 16.25/4.33  				| (212) all_66_4_33 = all_55_0_24
% 16.25/4.33  				|
% 16.25/4.33  				| Combining equations (210,208) yields a new equation:
% 16.25/4.33  				| (213) all_61_2_27 = all_0_2_2
% 16.25/4.33  				|
% 16.25/4.33  				| Combining equations (211,212) yields a new equation:
% 16.25/4.33  				| (214) all_61_3_28 = all_55_0_24
% 16.25/4.33  				|
% 16.25/4.33  				| Simplifying 214 yields:
% 16.25/4.33  				| (215) all_61_3_28 = all_55_0_24
% 16.25/4.33  				|
% 16.25/4.33  				| Combining equations (202,215) yields a new equation:
% 16.25/4.33  				| (216) all_61_3_28 = all_0_0_0
% 16.25/4.33  				|
% 16.25/4.33  				| Combining equations (202,212) yields a new equation:
% 16.25/4.33  				| (217) all_66_4_33 = all_0_0_0
% 16.25/4.33  				|
% 16.25/4.33  				| Combining equations (217,203) yields a new equation:
% 16.25/4.33  				| (218) all_71_4_38 = all_0_0_0
% 16.25/4.33  				|
% 16.25/4.33  				| From (218) and (199) follows:
% 16.25/4.33  				| (219) update_slb(all_0_5_5, all_0_0_0) = all_71_1_35
% 16.25/4.33  				|
% 16.25/4.33  				| From (216) and (178) follows:
% 16.25/4.33  				| (220) update_slb(all_0_5_5, all_0_0_0) = all_61_1_26
% 16.25/4.33  				|
% 16.25/4.33  				| Instantiating formula (122) with all_0_5_5, all_0_0_0, all_61_1_26, all_71_1_35 and discharging atoms update_slb(all_0_5_5, all_0_0_0) = all_71_1_35, update_slb(all_0_5_5, all_0_0_0) = all_61_1_26, yields:
% 16.25/4.33  				| (221) all_71_1_35 = all_61_1_26
% 16.25/4.33  				|
% 16.25/4.33  				| From (221) and (197) follows:
% 16.25/4.33  				| (222) triple(all_0_6_6, all_61_1_26, bad) = all_71_0_34
% 16.25/4.33  				|
% 16.25/4.33  				| Instantiating formula (78) with all_0_6_6, all_61_1_26, bad, all_71_0_34, all_61_0_25 and discharging atoms triple(all_0_6_6, all_61_1_26, bad) = all_71_0_34, triple(all_0_6_6, all_61_1_26, bad) = all_61_0_25, yields:
% 16.25/4.33  				| (223) all_71_0_34 = all_61_0_25
% 16.25/4.33  				|
% 16.25/4.33  				| From (223) and (222) follows:
% 16.25/4.33  				| (177) triple(all_0_6_6, all_61_1_26, bad) = all_61_0_25
% 16.25/4.33  				|
% 16.25/4.33  				+-Applying beta-rule and splitting (131), into two cases.
% 16.25/4.33  				|-Branch one:
% 16.25/4.33  				| (225) contains_cpq(all_0_3_3, all_11_0_14)
% 16.25/4.33  				|
% 16.25/4.33  					| Instantiating formula (46) with all_0_3_3, all_11_0_14, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, contains_cpq(all_0_3_3, all_11_0_14), yields:
% 16.25/4.33  					| (226)  ? [v0] : (i(all_0_3_3) = v0 & contains_pq(v0, all_11_0_14))
% 16.25/4.33  					|
% 16.25/4.33  					| Instantiating (226) with all_113_0_43 yields:
% 16.25/4.33  					| (227) i(all_0_3_3) = all_113_0_43 & contains_pq(all_113_0_43, all_11_0_14)
% 16.25/4.33  					|
% 16.25/4.33  					| Applying alpha-rule on (227) yields:
% 16.25/4.33  					| (228) i(all_0_3_3) = all_113_0_43
% 16.25/4.33  					| (229) contains_pq(all_113_0_43, all_11_0_14)
% 16.25/4.33  					|
% 16.40/4.33  					| Instantiating formula (23) with all_0_3_3, all_113_0_43, all_0_1_1 and discharging atoms i(all_0_3_3) = all_113_0_43, i(all_0_3_3) = all_0_1_1, yields:
% 16.40/4.33  					| (230) all_113_0_43 = all_0_1_1
% 16.40/4.33  					|
% 16.40/4.33  					| From (230) and (228) follows:
% 16.40/4.33  					| (57) i(all_0_3_3) = all_0_1_1
% 16.40/4.33  					|
% 16.40/4.33  					+-Applying beta-rule and splitting (136), into two cases.
% 16.40/4.33  					|-Branch one:
% 16.40/4.33  					| (158)  ~ ok(all_21_0_16)
% 16.40/4.33  					|
% 16.40/4.33  						| From (138) and (158) follows:
% 16.40/4.33  						| (159)  ~ ok(all_0_2_2)
% 16.40/4.33  						|
% 16.40/4.33  						+-Applying beta-rule and splitting (176), into two cases.
% 16.40/4.33  						|-Branch one:
% 16.40/4.33  						| (234) contains_slb(all_0_5_5, all_61_3_28)
% 16.40/4.33  						|
% 16.40/4.33  							| From (216) and (234) follows:
% 16.40/4.33  							| (235) contains_slb(all_0_5_5, all_0_0_0)
% 16.40/4.33  							|
% 16.40/4.33  							| Instantiating formula (3) with all_0_3_3, all_0_0_0, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, contains_slb(all_0_5_5, all_0_0_0), yields:
% 16.40/4.33  							| (236) contains_cpq(all_0_3_3, all_0_0_0)
% 16.40/4.33  							|
% 16.40/4.33  							| Instantiating formula (46) with all_0_3_3, all_0_0_0, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, contains_cpq(all_0_3_3, all_0_0_0), yields:
% 16.40/4.33  							| (237)  ? [v0] : (i(all_0_3_3) = v0 & contains_pq(v0, all_0_0_0))
% 16.40/4.33  							|
% 16.40/4.33  							| Instantiating (237) with all_178_0_47 yields:
% 16.40/4.33  							| (238) i(all_0_3_3) = all_178_0_47 & contains_pq(all_178_0_47, all_0_0_0)
% 16.40/4.34  							|
% 16.40/4.34  							| Applying alpha-rule on (238) yields:
% 16.40/4.34  							| (239) i(all_0_3_3) = all_178_0_47
% 16.40/4.34  							| (240) contains_pq(all_178_0_47, all_0_0_0)
% 16.40/4.34  							|
% 16.40/4.34  							| Instantiating formula (23) with all_0_3_3, all_178_0_47, all_0_1_1 and discharging atoms i(all_0_3_3) = all_178_0_47, i(all_0_3_3) = all_0_1_1, yields:
% 16.40/4.34  							| (241) all_178_0_47 = all_0_1_1
% 16.40/4.34  							|
% 16.40/4.34  							| From (241) and (240) follows:
% 16.40/4.34  							| (242) contains_pq(all_0_1_1, all_0_0_0)
% 16.40/4.34  							|
% 16.40/4.34  							| Using (242) and (53) yields:
% 16.40/4.34  							| (160) $false
% 16.40/4.34  							|
% 16.40/4.34  							|-The branch is then unsatisfiable
% 16.40/4.34  						|-Branch two:
% 16.40/4.34  						| (244)  ~ contains_slb(all_0_5_5, all_61_3_28)
% 16.40/4.34  						| (245) all_61_0_25 = all_61_2_27
% 16.40/4.34  						|
% 16.40/4.34  							| Combining equations (213,245) yields a new equation:
% 16.40/4.34  							| (246) all_61_0_25 = all_0_2_2
% 16.40/4.34  							|
% 16.40/4.34  							| From (246) and (177) follows:
% 16.40/4.34  							| (247) triple(all_0_6_6, all_61_1_26, bad) = all_0_2_2
% 16.40/4.34  							|
% 16.40/4.34  							| Instantiating formula (108) with all_0_2_2, bad, all_61_1_26, all_0_6_6 and discharging atoms triple(all_0_6_6, all_61_1_26, bad) = all_0_2_2, phi(all_0_2_2),  ~ ok(all_0_2_2), yields:
% 16.40/4.34  							| (160) $false
% 16.40/4.34  							|
% 16.40/4.34  							|-The branch is then unsatisfiable
% 16.40/4.34  					|-Branch two:
% 16.40/4.34  					| (161) ok(all_21_0_16)
% 16.40/4.34  					| (162) contains_cpq(all_0_3_3, all_21_1_17)
% 16.40/4.34  					|
% 16.40/4.34  						| From (137) and (162) follows:
% 16.40/4.34  						| (236) contains_cpq(all_0_3_3, all_0_0_0)
% 16.40/4.34  						|
% 16.40/4.34  						| Instantiating formula (46) with all_0_3_3, all_0_0_0, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, contains_cpq(all_0_3_3, all_0_0_0), yields:
% 16.40/4.34  						| (237)  ? [v0] : (i(all_0_3_3) = v0 & contains_pq(v0, all_0_0_0))
% 16.40/4.34  						|
% 16.40/4.34  						| Instantiating (237) with all_143_0_61 yields:
% 16.40/4.34  						| (253) i(all_0_3_3) = all_143_0_61 & contains_pq(all_143_0_61, all_0_0_0)
% 16.40/4.34  						|
% 16.40/4.34  						| Applying alpha-rule on (253) yields:
% 16.40/4.34  						| (254) i(all_0_3_3) = all_143_0_61
% 16.40/4.34  						| (255) contains_pq(all_143_0_61, all_0_0_0)
% 16.40/4.34  						|
% 16.40/4.34  						| Instantiating formula (23) with all_0_3_3, all_143_0_61, all_0_1_1 and discharging atoms i(all_0_3_3) = all_143_0_61, i(all_0_3_3) = all_0_1_1, yields:
% 16.40/4.34  						| (256) all_143_0_61 = all_0_1_1
% 16.40/4.34  						|
% 16.40/4.34  						| From (256) and (255) follows:
% 16.40/4.34  						| (242) contains_pq(all_0_1_1, all_0_0_0)
% 16.40/4.34  						|
% 16.40/4.34  						| Using (242) and (53) yields:
% 16.40/4.34  						| (160) $false
% 16.40/4.34  						|
% 16.40/4.34  						|-The branch is then unsatisfiable
% 16.40/4.34  				|-Branch two:
% 16.40/4.34  				| (259)  ~ contains_cpq(all_0_3_3, all_11_0_14)
% 16.40/4.34  				| (260)  ? [v0] : (i(all_0_3_3) = v0 &  ~ contains_pq(v0, all_11_0_14))
% 16.40/4.34  				|
% 16.40/4.34  					| Instantiating (260) with all_107_0_62 yields:
% 16.40/4.34  					| (261) i(all_0_3_3) = all_107_0_62 &  ~ contains_pq(all_107_0_62, all_11_0_14)
% 16.40/4.34  					|
% 16.40/4.34  					| Applying alpha-rule on (261) yields:
% 16.40/4.34  					| (262) i(all_0_3_3) = all_107_0_62
% 16.40/4.34  					| (263)  ~ contains_pq(all_107_0_62, all_11_0_14)
% 16.40/4.34  					|
% 16.40/4.34  					| Instantiating formula (23) with all_0_3_3, all_107_0_62, all_0_1_1 and discharging atoms i(all_0_3_3) = all_107_0_62, i(all_0_3_3) = all_0_1_1, yields:
% 16.40/4.34  					| (264) all_107_0_62 = all_0_1_1
% 16.40/4.34  					|
% 16.40/4.34  					| From (264) and (262) follows:
% 16.40/4.34  					| (57) i(all_0_3_3) = all_0_1_1
% 16.40/4.34  					|
% 16.40/4.34  					+-Applying beta-rule and splitting (136), into two cases.
% 16.40/4.34  					|-Branch one:
% 16.40/4.34  					| (158)  ~ ok(all_21_0_16)
% 16.40/4.34  					|
% 16.40/4.34  						| From (138) and (158) follows:
% 16.40/4.34  						| (159)  ~ ok(all_0_2_2)
% 16.40/4.34  						|
% 16.40/4.34  						+-Applying beta-rule and splitting (176), into two cases.
% 16.40/4.34  						|-Branch one:
% 16.40/4.34  						| (234) contains_slb(all_0_5_5, all_61_3_28)
% 16.40/4.34  						|
% 16.40/4.34  							| From (216) and (234) follows:
% 16.40/4.34  							| (235) contains_slb(all_0_5_5, all_0_0_0)
% 16.40/4.34  							|
% 16.40/4.34  							| Instantiating formula (3) with all_0_3_3, all_0_0_0, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, contains_slb(all_0_5_5, all_0_0_0), yields:
% 16.40/4.34  							| (236) contains_cpq(all_0_3_3, all_0_0_0)
% 16.40/4.34  							|
% 16.40/4.34  							| Instantiating formula (46) with all_0_3_3, all_0_0_0, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, contains_cpq(all_0_3_3, all_0_0_0), yields:
% 16.40/4.34  							| (237)  ? [v0] : (i(all_0_3_3) = v0 & contains_pq(v0, all_0_0_0))
% 16.40/4.34  							|
% 16.40/4.34  							| Instantiating (237) with all_162_0_66 yields:
% 16.40/4.34  							| (272) i(all_0_3_3) = all_162_0_66 & contains_pq(all_162_0_66, all_0_0_0)
% 16.40/4.34  							|
% 16.40/4.34  							| Applying alpha-rule on (272) yields:
% 16.40/4.34  							| (273) i(all_0_3_3) = all_162_0_66
% 16.40/4.34  							| (274) contains_pq(all_162_0_66, all_0_0_0)
% 16.40/4.34  							|
% 16.40/4.34  							| Instantiating formula (23) with all_0_3_3, all_162_0_66, all_0_1_1 and discharging atoms i(all_0_3_3) = all_162_0_66, i(all_0_3_3) = all_0_1_1, yields:
% 16.40/4.34  							| (275) all_162_0_66 = all_0_1_1
% 16.40/4.34  							|
% 16.40/4.34  							| From (275) and (274) follows:
% 16.40/4.34  							| (242) contains_pq(all_0_1_1, all_0_0_0)
% 16.40/4.34  							|
% 16.40/4.34  							| Using (242) and (53) yields:
% 16.40/4.34  							| (160) $false
% 16.40/4.34  							|
% 16.40/4.34  							|-The branch is then unsatisfiable
% 16.40/4.34  						|-Branch two:
% 16.40/4.34  						| (244)  ~ contains_slb(all_0_5_5, all_61_3_28)
% 16.40/4.34  						| (245) all_61_0_25 = all_61_2_27
% 16.40/4.34  						|
% 16.40/4.34  							| Combining equations (213,245) yields a new equation:
% 16.40/4.34  							| (246) all_61_0_25 = all_0_2_2
% 16.40/4.34  							|
% 16.40/4.34  							| From (246) and (177) follows:
% 16.40/4.34  							| (247) triple(all_0_6_6, all_61_1_26, bad) = all_0_2_2
% 16.40/4.34  							|
% 16.40/4.34  							| Instantiating formula (108) with all_0_2_2, bad, all_61_1_26, all_0_6_6 and discharging atoms triple(all_0_6_6, all_61_1_26, bad) = all_0_2_2, phi(all_0_2_2),  ~ ok(all_0_2_2), yields:
% 16.40/4.34  							| (160) $false
% 16.40/4.34  							|
% 16.40/4.34  							|-The branch is then unsatisfiable
% 16.40/4.34  					|-Branch two:
% 16.40/4.34  					| (161) ok(all_21_0_16)
% 16.40/4.34  					| (162) contains_cpq(all_0_3_3, all_21_1_17)
% 16.40/4.34  					|
% 16.40/4.34  						| From (137) and (162) follows:
% 16.40/4.34  						| (236) contains_cpq(all_0_3_3, all_0_0_0)
% 16.40/4.34  						|
% 16.40/4.34  						| Instantiating formula (46) with all_0_3_3, all_0_0_0, all_0_4_4, all_0_5_5, all_0_6_6 and discharging atoms triple(all_0_6_6, all_0_5_5, all_0_4_4) = all_0_3_3, contains_cpq(all_0_3_3, all_0_0_0), yields:
% 16.40/4.34  						| (237)  ? [v0] : (i(all_0_3_3) = v0 & contains_pq(v0, all_0_0_0))
% 16.40/4.34  						|
% 16.40/4.34  						| Instantiating (237) with all_132_0_80 yields:
% 16.40/4.34  						| (287) i(all_0_3_3) = all_132_0_80 & contains_pq(all_132_0_80, all_0_0_0)
% 16.40/4.34  						|
% 16.40/4.34  						| Applying alpha-rule on (287) yields:
% 16.40/4.34  						| (288) i(all_0_3_3) = all_132_0_80
% 16.40/4.34  						| (289) contains_pq(all_132_0_80, all_0_0_0)
% 16.40/4.34  						|
% 16.40/4.34  						| Instantiating formula (23) with all_0_3_3, all_132_0_80, all_0_1_1 and discharging atoms i(all_0_3_3) = all_132_0_80, i(all_0_3_3) = all_0_1_1, yields:
% 16.40/4.34  						| (290) all_132_0_80 = all_0_1_1
% 16.40/4.34  						|
% 16.40/4.34  						| From (290) and (289) follows:
% 16.40/4.34  						| (242) contains_pq(all_0_1_1, all_0_0_0)
% 16.40/4.34  						|
% 16.40/4.34  						| Using (242) and (53) yields:
% 16.40/4.34  						| (160) $false
% 16.40/4.34  						|
% 16.40/4.34  						|-The branch is then unsatisfiable
% 16.40/4.34  % SZS output end Proof for theBenchmark
% 16.40/4.34  
% 16.40/4.34  3830ms
%------------------------------------------------------------------------------