%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SWV370+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n018.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 17:51:08 EDT 2022

% Result   : Theorem 22.69s 6.42s
% Output   : Proof 42.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV370+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n018.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 00:54:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.58          ____       _                          
% 0.19/0.58    ___  / __ \_____(_)___  ________  __________
% 0.19/0.58   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.19/0.58  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.19/0.58  
% 0.19/0.58  A Theorem Prover for First-Order Logic
% 0.19/0.59  (ePrincess v.1.0)
% 0.19/0.59  
% 0.19/0.59  (c) Philipp Rümmer, 2009-2015
% 0.19/0.59  (c) Peter Backeman, 2014-2015
% 0.19/0.59  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.59  Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.59  Bug reports to peter@backeman.se
% 0.19/0.59  
% 0.19/0.59  For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.59  
% 0.19/0.59  Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.75/0.64  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.81/1.00  Prover 0: Preprocessing ...
% 3.45/1.41  Prover 0: Warning: ignoring some quantifiers
% 3.45/1.44  Prover 0: Constructing countermodel ...
% 20.34/5.93  Prover 1: Options:  +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 20.76/6.02  Prover 1: Preprocessing ...
% 21.41/6.21  Prover 1: Constructing countermodel ...
% 22.69/6.41  Prover 1: proved (487ms)
% 22.69/6.42  Prover 0: stopped
% 22.69/6.42  
% 22.69/6.42  No countermodel exists, formula is valid
% 22.69/6.42  % SZS status Theorem for theBenchmark
% 22.69/6.42  
% 22.69/6.42  Generating proof ... found it (size 83)
% 41.85/12.56  
% 41.85/12.56  % SZS output start Proof for theBenchmark
% 41.85/12.56  Assumed formulas after preprocessing and simplification: 
% 41.85/12.57  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] : ( ~ (v1 = 0) &  ~ (v0 = 0) & i(v10) = v12 & contains_cpq(v10, v7) = v11 & triple(v3, v9, v4) = v10 & pair(v5, v6) = v8 & insert_slb(v2, v8) = v9 & isnonempty_slb(create_slb) = v1 & contains_pq(v12, v7) = v13 & isnonempty_pq(create_pq) = v0 &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : (v21 = 0 |  ~ (pair_in_list(v20, v16, v18) = v21) |  ~ (pair(v15, v17) = v19) |  ~ (insert_slb(v14, v19) = v20) |  ? [v22] : ( ~ (v22 = 0) & pair_in_list(v14, v16, v18) = v22)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (insert_pqp(v14, v17) = v18) |  ~ (triple(v18, v20, v16) = v21) |  ~ (pair(v17, bottom) = v19) |  ~ (insert_slb(v15, v19) = v20) |  ? [v22] : (triple(v14, v15, v16) = v22 & insert_cpq(v22, v17) = v21)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (triple(v14, v20, v16) = v21) |  ~ (pair(v17, v18) = v19) |  ~ (insert_slb(v15, v19) = v20) |  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (triple(v14, v15, v16) = v24 & check_cpq(v24) = v25 & check_cpq(v21) = v23 & less_than(v18, v17) = v22 & ( ~ (v22 = 0) | (( ~ (v25 = 0) | v23 = 0) & ( ~ (v23 = 0) | v25 = 0))))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (triple(v14, v20, v16) = v21) |  ~ (pair(v17, v18) = v19) |  ~ (insert_slb(v15, v19) = v20) |  ? [v22] :  ? [v23] :  ? [v24] : (i(v23) = v24 & i(v21) = v22 & triple(v14, v15, v16) = v23 & insert_pq(v24, v17) = v22)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] :  ! [v21] : ( ~ (triple(v14, v20, v16) = v21) |  ~ (pair(v17, v18) = v19) |  ~ (insert_slb(v15, v19) = v20) |  ? [v22] :  ? [v23] : (check_cpq(v21) = v23 & strictly_less_than(v17, v18) = v22 & ( ~ (v23 = 0) |  ~ (v22 = 0)))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : (v20 = 0 |  ~ (contains_slb(v19, v16) = v20) |  ~ (pair(v15, v17) = v18) |  ~ (insert_slb(v14, v18) = v19) |  ? [v21] : ( ~ (v21 = 0) & contains_slb(v14, v16) = v21)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : (v18 = v17 |  ~ (pair_in_list(v20, v16, v18) = 0) |  ~ (pair(v15, v17) = v19) |  ~ (insert_slb(v14, v19) = v20) | pair_in_list(v14, v16, v18) = 0) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : (v16 = v15 |  ~ (lookup_slb(v19, v16) = v20) |  ~ (pair(v15, v17) = v18) |  ~ (insert_slb(v14, v18) = v19) |  ? [v21] :  ? [v22] : (lookup_slb(v14, v16) = v22 & contains_slb(v14, v16) = v21 & ( ~ (v21 = 0) | v22 = v20))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : (v16 = v15 |  ~ (remove_slb(v19, v16) = v20) |  ~ (pair(v15, v17) = v18) |  ~ (insert_slb(v14, v18) = v19) |  ? [v21] :  ? [v22] :  ? [v23] : (remove_slb(v14, v16) = v22 & contains_slb(v14, v16) = v21 & insert_slb(v22, v18) = v23 & ( ~ (v21 = 0) | v23 = v20))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : (v16 = v15 |  ~ (pair_in_list(v20, v16, v18) = 0) |  ~ (pair(v15, v17) = v19) |  ~ (insert_slb(v14, v19) = v20) | pair_in_list(v14, v16, v18) = 0) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (remove_pqp(v14, v17) = v18) |  ~ (triple(v18, v19, v16) = v20) |  ~ (remove_slb(v15, v17) = v19) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (triple(v14, v15, v16) = v24 & remove_cpq(v24, v17) = v25 & lookup_slb(v15, v17) = v22 & contains_slb(v15, v17) = v21 & less_than(v22, v17) = v23 & ( ~ (v23 = 0) |  ~ (v21 = 0) | v25 = v20))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (update_slb(v19, v16) = v20) |  ~ (pair(v15, v17) = v18) |  ~ (insert_slb(v14, v18) = v19) |  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (update_slb(v14, v16) = v22 & pair(v15, v16) = v23 & insert_slb(v22, v23) = v24 & strictly_less_than(v17, v16) = v21 & ( ~ (v21 = 0) | v24 = v20))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] :  ! [v20] : ( ~ (update_slb(v19, v16) = v20) |  ~ (pair(v15, v17) = v18) |  ~ (insert_slb(v14, v18) = v19) |  ? [v21] :  ? [v22] :  ? [v23] : (update_slb(v14, v16) = v22 & insert_slb(v22, v18) = v23 & less_than(v16, v17) = v21 & ( ~ (v21 = 0) | v23 = v20))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v19 = v16 |  ~ (lookup_slb(v18, v15) = v19) |  ~ (pair(v15, v16) = v17) |  ~ (insert_slb(v14, v17) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v19 = v14 |  ~ (remove_slb(v18, v15) = v19) |  ~ (pair(v15, v16) = v17) |  ~ (insert_slb(v14, v17) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v19 = 0 |  ~ (i(v17) = v18) |  ~ (triple(v14, v2, v15) = v17) |  ~ (contains_pq(v18, v16) = v19) |  ? [v20] : ( ~ (v20 = 0) & contains_cpq(v17, v16) = v20)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v19 = 0 |  ~ (contains_cpq(v18, v17) = v19) |  ~ (triple(v14, v15, v16) = v18) |  ? [v20] : ( ~ (v20 = 0) & contains_slb(v15, v17) = v20)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v19 = 0 |  ~ (pair_in_list(v18, v15, v16) = v19) |  ~ (pair(v15, v16) = v17) |  ~ (insert_slb(v14, v17) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v19 = 0 |  ~ (contains_slb(v18, v15) = v19) |  ~ (pair(v15, v16) = v17) |  ~ (insert_slb(v14, v17) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v16 = v15 |  ~ (contains_slb(v19, v16) = 0) |  ~ (pair(v15, v17) = v18) |  ~ (insert_slb(v14, v18) = v19) | contains_slb(v14, v16) = 0) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : (v15 = create_slb |  ~ (findmin_pqp_res(v14) = v17) |  ~ (triple(v14, v18, v16) = v19) |  ~ (update_slb(v15, v17) = v18) |  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (triple(v14, v15, v16) = v23 & findmin_cpq_eff(v23) = v24 & lookup_slb(v15, v17) = v21 & contains_slb(v15, v17) = v20 & less_than(v21, v17) = v22 & ( ~ (v22 = 0) |  ~ (v20 = 0) | v24 = v19))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (triple(v14, v15, v16) = v18) |  ~ (remove_cpq(v18, v17) = v19) |  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] : (remove_pqp(v14, v17) = v23 & triple(v23, v24, bad) = v25 & lookup_slb(v15, v17) = v21 & remove_slb(v15, v17) = v24 & contains_slb(v15, v17) = v20 & strictly_less_than(v17, v21) = v22 & ( ~ (v22 = 0) |  ~ (v20 = 0) | v25 = v19))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] :  ! [v19] : ( ~ (triple(v14, v15, v16) = v18) |  ~ (remove_cpq(v18, v17) = v19) |  ? [v20] :  ? [v21] : (triple(v14, v15, bad) = v21 & contains_slb(v15, v17) = v20 & (v21 = v19 | v20 = 0))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v18 = 0 |  ~ (remove_cpq(v15, v16) = v17) |  ~ (succ_cpq(v14, v17) = v18) |  ? [v19] : ( ~ (v19 = 0) & succ_cpq(v14, v15) = v19)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v18 = 0 |  ~ (insert_cpq(v15, v16) = v17) |  ~ (succ_cpq(v14, v17) = v18) |  ? [v19] : ( ~ (v19 = 0) & succ_cpq(v14, v15) = v19)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v18 = 0 |  ~ (contains_pq(v17, v16) = v18) |  ~ (insert_pq(v14, v15) = v17) |  ? [v19] : ( ~ (v19 = 0) & contains_pq(v14, v16) = v19)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v16 = v15 |  ~ (remove_pq(v17, v16) = v18) |  ~ (insert_pq(v14, v15) = v17) |  ? [v19] :  ? [v20] :  ? [v21] : (remove_pq(v14, v16) = v20 & contains_pq(v14, v16) = v19 & insert_pq(v20, v15) = v21 & ( ~ (v19 = 0) | v21 = v18))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v15 = v14 |  ~ (triple(v18, v17, v16) = v15) |  ~ (triple(v18, v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : (v15 = v14 |  ~ (pair_in_list(v18, v17, v16) = v15) |  ~ (pair_in_list(v18, v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (i(v17) = v18) |  ~ (triple(v14, v2, v15) = v17) |  ~ (contains_pq(v18, v16) = 0) | contains_cpq(v17, v16) = 0) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (contains_cpq(v18, v17) = 0) |  ~ (triple(v14, v15, v16) = v18) | contains_slb(v15, v17) = 0) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (pair(v15, v16) = v17) |  ~ (insert_slb(v14, v17) = v18) | isnonempty_slb(v18) = 0) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] :  ! [v18] : ( ~ (insert_pq(v17, v16) = v18) |  ~ (insert_pq(v14, v15) = v17) |  ? [v19] : (insert_pq(v19, v15) = v18 & insert_pq(v14, v16) = v19)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = v14 |  ~ (remove_pq(v16, v15) = v17) |  ~ (insert_pq(v14, v15) = v16)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (pi_sharp_remove(v16, v15) = v17) |  ~ (i(v14) = v16) |  ? [v18] : ( ~ (v18 = 0) & pi_remove(v14, v15) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (removemin_cpq_eff(v15) = v16) |  ~ (succ_cpq(v14, v16) = v17) |  ? [v18] : ( ~ (v18 = 0) & succ_cpq(v14, v15) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (findmin_cpq_eff(v15) = v16) |  ~ (succ_cpq(v14, v16) = v17) |  ? [v18] : ( ~ (v18 = 0) & succ_cpq(v14, v15) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (issmallestelement_pq(v14, v15) = 0) |  ~ (less_than(v15, v16) = v17) |  ? [v18] : ( ~ (v18 = 0) & contains_pq(v14, v16) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (contains_pq(v16, v15) = v17) |  ~ (insert_pq(v14, v15) = v16)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v17 = 0 |  ~ (less_than(v14, v16) = v17) |  ~ (less_than(v14, v15) = 0) |  ? [v18] : ( ~ (v18 = 0) & less_than(v15, v16) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v16 = v15 |  ~ (contains_pq(v17, v16) = 0) |  ~ (insert_pq(v14, v15) = v17) | contains_pq(v14, v16) = 0) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v16 = bad |  ~ (triple(v14, v15, v16) = v17) | ok(v17) = 0) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (pi_sharp_removemin(v17, v16) = v15) |  ~ (pi_sharp_removemin(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (pi_sharp_find_min(v17, v16) = v15) |  ~ (pi_sharp_find_min(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (pi_remove(v17, v16) = v15) |  ~ (pi_remove(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (pi_sharp_remove(v17, v16) = v15) |  ~ (pi_sharp_remove(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (remove_pqp(v17, v16) = v15) |  ~ (remove_pqp(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (insert_pqp(v17, v16) = v15) |  ~ (insert_pqp(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (contains_cpq(v17, v16) = v15) |  ~ (contains_cpq(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (remove_cpq(v17, v16) = v15) |  ~ (remove_cpq(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (insert_cpq(v17, v16) = v15) |  ~ (insert_cpq(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (succ_cpq(v17, v16) = v15) |  ~ (succ_cpq(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (update_slb(v17, v16) = v15) |  ~ (update_slb(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (lookup_slb(v17, v16) = v15) |  ~ (lookup_slb(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (remove_slb(v17, v16) = v15) |  ~ (remove_slb(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (contains_slb(v17, v16) = v15) |  ~ (contains_slb(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (pair(v17, v16) = v15) |  ~ (pair(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (insert_slb(v17, v16) = v15) |  ~ (insert_slb(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (removemin_pq_res(v17, v16) = v15) |  ~ (removemin_pq_res(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (removemin_pq_eff(v17, v16) = v15) |  ~ (removemin_pq_eff(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (findmin_pq_res(v17, v16) = v15) |  ~ (findmin_pq_res(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (findmin_pq_eff(v17, v16) = v15) |  ~ (findmin_pq_eff(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (remove_pq(v17, v16) = v15) |  ~ (remove_pq(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (issmallestelement_pq(v17, v16) = v15) |  ~ (issmallestelement_pq(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (contains_pq(v17, v16) = v15) |  ~ (contains_pq(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (insert_pq(v17, v16) = v15) |  ~ (insert_pq(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (strictly_less_than(v17, v16) = v15) |  ~ (strictly_less_than(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = v14 |  ~ (less_than(v17, v16) = v15) |  ~ (less_than(v17, v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = create_slb |  ~ (triple(v14, v15, v16) = v17) |  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] : (findmin_pqp_res(v14) = v18 & triple(v14, v23, bad) = v24 & findmin_cpq_eff(v17) = v22 & update_slb(v15, v18) = v23 & lookup_slb(v15, v18) = v20 & contains_slb(v15, v18) = v19 & strictly_less_than(v18, v20) = v21 & ( ~ (v21 = 0) |  ~ (v19 = 0) | v24 = v22))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = create_slb |  ~ (triple(v14, v15, v16) = v17) |  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] : (findmin_pqp_res(v14) = v18 & triple(v14, v21, bad) = v22 & findmin_cpq_eff(v17) = v20 & update_slb(v15, v18) = v21 & contains_slb(v15, v18) = v19 & (v22 = v20 | v19 = 0))) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : (v15 = create_slb |  ~ (triple(v14, v15, v16) = v17) |  ? [v18] : (findmin_cpq_res(v17) = v18 & findmin_pqp_res(v14) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] :  ! [v17] : ( ~ (findmin_cpq_res(v14) = v16) |  ~ (findmin_cpq_eff(v14) = v15) |  ~ (remove_cpq(v15, v16) = v17) | removemin_cpq_eff(v14) = v17) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = v15 |  ~ (removemin_pq_res(v14, v15) = v16) |  ? [v17] :  ? [v18] : (issmallestelement_pq(v14, v15) = v18 & contains_pq(v14, v15) = v17 & ( ~ (v18 = 0) |  ~ (v17 = 0)))) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = v15 |  ~ (findmin_pq_res(v14, v15) = v16) |  ? [v17] :  ? [v18] : (issmallestelement_pq(v14, v15) = v18 & contains_pq(v14, v15) = v17 & ( ~ (v18 = 0) |  ~ (v17 = 0)))) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = v14 |  ~ (findmin_pq_eff(v14, v15) = v16) |  ? [v17] :  ? [v18] : (issmallestelement_pq(v14, v15) = v18 & contains_pq(v14, v15) = v17 & ( ~ (v18 = 0) |  ~ (v17 = 0)))) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (pi_sharp_removemin(v14, v15) = v16) |  ? [v17] :  ? [v18] : (issmallestelement_pq(v14, v15) = v18 & contains_pq(v14, v15) = v17 & ( ~ (v18 = 0) |  ~ (v17 = 0)))) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (pi_sharp_find_min(v14, v15) = v16) |  ? [v17] :  ? [v18] : (issmallestelement_pq(v14, v15) = v18 & contains_pq(v14, v15) = v17 & ( ~ (v18 = 0) |  ~ (v17 = 0)))) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (pi_sharp_remove(v14, v15) = v16) |  ? [v17] : ( ~ (v17 = 0) & contains_pq(v14, v15) = v17)) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (issmallestelement_pq(v14, v15) = v16) |  ? [v17] :  ? [v18] : ( ~ (v18 = 0) & contains_pq(v14, v17) = 0 & less_than(v15, v17) = v18)) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (strictly_less_than(v14, v15) = v16) |  ? [v17] :  ? [v18] : (less_than(v15, v14) = v18 & less_than(v14, v15) = v17 & ( ~ (v17 = 0) | v18 = 0))) &  ! [v14] :  ! [v15] :  ! [v16] : (v16 = 0 |  ~ (less_than(v14, v15) = v16) | less_than(v15, v14) = 0) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (phi(v16) = v15) |  ~ (phi(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (pi_removemin(v16) = v15) |  ~ (pi_removemin(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (pi_find_min(v16) = v15) |  ~ (pi_find_min(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (i(v16) = v15) |  ~ (i(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (removemin_cpq_res(v16) = v15) |  ~ (removemin_cpq_res(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (findmin_cpq_res(v16) = v15) |  ~ (findmin_cpq_res(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (findmin_pqp_res(v16) = v15) |  ~ (findmin_pqp_res(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (ok(v16) = v15) |  ~ (ok(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (check_cpq(v16) = v15) |  ~ (check_cpq(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (removemin_cpq_eff(v16) = v15) |  ~ (removemin_cpq_eff(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (findmin_cpq_eff(v16) = v15) |  ~ (findmin_cpq_eff(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (isnonempty_slb(v16) = v15) |  ~ (isnonempty_slb(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = v14 |  ~ (isnonempty_pq(v16) = v15) |  ~ (isnonempty_pq(v16) = v14)) &  ! [v14] :  ! [v15] :  ! [v16] : (v15 = 0 |  ~ (phi(v14) = v15) |  ~ (ok(v16) = 0) |  ? [v17] :  ? [v18] : (check_cpq(v16) = v18 & succ_cpq(v14, v16) = v17 & ( ~ (v18 = 0) |  ~ (v17 = 0)))) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (pi_sharp_remove(v16, v15) = 0) |  ~ (i(v14) = v16) | pi_remove(v14, v15) = 0) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (triple(v14, v15, bad) = v16) |  ? [v17] : ( ~ (v17 = 0) & ok(v16) = v17)) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (triple(v14, create_slb, v15) = v16) | i(v16) = create_pq) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (triple(v14, create_slb, v15) = v16) | findmin_cpq_res(v16) = bottom) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (triple(v14, create_slb, v15) = v16) | check_cpq(v16) = 0) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (triple(v14, create_slb, v15) = v16) |  ? [v17] : (triple(v14, create_slb, bad) = v17 & findmin_cpq_eff(v16) = v17)) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (removemin_pq_eff(v14, v15) = v16) |  ? [v17] :  ? [v18] :  ? [v19] : (remove_pq(v14, v15) = v19 & issmallestelement_pq(v14, v15) = v18 & contains_pq(v14, v15) = v17 & ( ~ (v18 = 0) |  ~ (v17 = 0) | v19 = v16))) &  ! [v14] :  ! [v15] :  ! [v16] : ( ~ (insert_pq(v14, v15) = v16) | isnonempty_pq(v16) = 0) &  ! [v14] :  ! [v15] : (v15 = create_slb |  ~ (update_slb(create_slb, v14) = v15)) &  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (pi_removemin(v14) = v15) |  ? [v16] : (i(v14) = v16 &  ! [v17] :  ~ (pi_sharp_find_min(v16, v17) = 0))) &  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (pi_find_min(v14) = v15) |  ? [v16] : (i(v14) = v16 &  ! [v17] :  ~ (pi_sharp_find_min(v16, v17) = 0))) &  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (succ_cpq(v14, v14) = v15)) &  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (less_than(v14, v14) = v15)) &  ! [v14] :  ! [v15] : (v15 = 0 |  ~ (less_than(bottom, v14) = v15)) &  ! [v14] :  ! [v15] : ( ~ (pi_sharp_removemin(v14, v15) = 0) | (issmallestelement_pq(v14, v15) = 0 & contains_pq(v14, v15) = 0)) &  ! [v14] :  ! [v15] : ( ~ (pi_sharp_find_min(v14, v15) = 0) | (issmallestelement_pq(v14, v15) = 0 & contains_pq(v14, v15) = 0)) &  ! [v14] :  ! [v15] : ( ~ (pi_sharp_remove(v14, v15) = 0) | contains_pq(v14, v15) = 0) &  ! [v14] :  ! [v15] : ( ~ (removemin_cpq_res(v14) = v15) | findmin_cpq_res(v14) = v15) &  ! [v14] :  ! [v15] :  ~ (pair_in_list(create_slb, v14, v15) = 0) &  ! [v14] :  ! [v15] : ( ~ (strictly_less_than(v14, v15) = 0) |  ? [v16] : ( ~ (v16 = 0) & less_than(v15, v14) = v16 & less_than(v14, v15) = 0)) &  ! [v14] : ( ~ (phi(v14) = 0) |  ? [v15] : (ok(v15) = 0 & check_cpq(v15) = 0 & succ_cpq(v14, v15) = 0)) &  ! [v14] : ( ~ (pi_removemin(v14) = 0) |  ? [v15] :  ? [v16] : (pi_sharp_find_min(v15, v16) = 0 & i(v14) = v15)) &  ! [v14] : ( ~ (pi_find_min(v14) = 0) |  ? [v15] :  ? [v16] : (pi_sharp_find_min(v15, v16) = 0 & i(v14) = v15)) &  ! [v14] :  ~ (contains_slb(create_slb, v14) = 0) &  ! [v14] :  ~ (contains_pq(create_pq, v14) = 0) & ((v13 = 0 &  ~ (v11 = 0)) | (v11 = 0 &  ~ (v13 = 0))))
% 42.21/12.66  | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13 yields:
% 42.21/12.66  | (1)  ~ (all_0_12_12 = 0) &  ~ (all_0_13_13 = 0) & i(all_0_3_3) = all_0_1_1 & contains_cpq(all_0_3_3, all_0_6_6) = all_0_2_2 & triple(all_0_10_10, all_0_4_4, all_0_9_9) = all_0_3_3 & pair(all_0_8_8, all_0_7_7) = all_0_5_5 & insert_slb(all_0_11_11, all_0_5_5) = all_0_4_4 & isnonempty_slb(create_slb) = all_0_12_12 & contains_pq(all_0_1_1, all_0_6_6) = all_0_0_0 & isnonempty_pq(create_pq) = all_0_13_13 &  ! [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] :  ? [v11] : (triple(v0, v1, v2) = v10 & check_cpq(v10) = v11 & check_cpq(v7) = v9 & less_than(v4, v3) = v8 & ( ~ (v8 = 0) | (( ~ (v11 = 0) | v9 = 0) & ( ~ (v9 = 0) | v11 = 0))))) &  ! [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] :  ! [v7] : ( ~ (triple(v0, v6, v2) = v7) |  ~ (pair(v3, v4) = v5) |  ~ (insert_slb(v1, v5) = v6) |  ? [v8] :  ? [v9] : (check_cpq(v7) = v9 & strictly_less_than(v3, v4) = v8 & ( ~ (v9 = 0) |  ~ (v8 = 0)))) &  ! [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] :  ? [v8] : (lookup_slb(v0, v2) = v8 & contains_slb(v0, v2) = v7 & ( ~ (v7 = 0) | v8 = v6))) &  ! [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] :  ? [v9] : (remove_slb(v0, v2) = v8 & contains_slb(v0, v2) = v7 & insert_slb(v8, v4) = v9 & ( ~ (v7 = 0) | v9 = v6))) &  ! [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] :  ? [v9] :  ? [v10] :  ? [v11] : (triple(v0, v1, v2) = v10 & remove_cpq(v10, v3) = v11 & lookup_slb(v1, v3) = v8 & contains_slb(v1, v3) = v7 & less_than(v8, v3) = v9 & ( ~ (v9 = 0) |  ~ (v7 = 0) | v11 = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (update_slb(v0, v2) = v8 & pair(v1, v2) = v9 & insert_slb(v8, v9) = v10 & strictly_less_than(v3, v2) = v7 & ( ~ (v7 = 0) | v10 = v6))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] :  ? [v8] :  ? [v9] : (update_slb(v0, v2) = v8 & insert_slb(v8, v4) = v9 & less_than(v2, v3) = v7 & ( ~ (v7 = 0) | v9 = v6))) &  ! [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] : (v5 = 0 |  ~ (i(v3) = v4) |  ~ (triple(v0, all_0_11_11, v1) = v3) |  ~ (contains_pq(v4, v2) = v5) |  ? [v6] : ( ~ (v6 = 0) & contains_cpq(v3, v2) = v6)) &  ! [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] :  ? [v8] :  ? [v9] :  ? [v10] : (triple(v0, v1, v2) = v9 & findmin_cpq_eff(v9) = v10 & lookup_slb(v1, v3) = v7 & contains_slb(v1, v3) = v6 & less_than(v7, v3) = v8 & ( ~ (v8 = 0) |  ~ (v6 = 0) | v10 = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (remove_pqp(v0, v3) = v9 & triple(v9, v10, bad) = v11 & lookup_slb(v1, v3) = v7 & remove_slb(v1, v3) = v10 & contains_slb(v1, v3) = v6 & strictly_less_than(v3, v7) = v8 & ( ~ (v8 = 0) |  ~ (v6 = 0) | v11 = v5))) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ? [v6] :  ? [v7] : (triple(v0, v1, bad) = v7 & contains_slb(v1, v3) = v6 & (v7 = v5 | v6 = 0))) &  ! [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] : (v4 = 0 |  ~ (contains_pq(v3, v2) = v4) |  ~ (insert_pq(v0, v1) = v3) |  ? [v5] : ( ~ (v5 = 0) & contains_pq(v0, v2) = v5)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (remove_pq(v3, v2) = v4) |  ~ (insert_pq(v0, v1) = v3) |  ? [v5] :  ? [v6] :  ? [v7] : (remove_pq(v0, v2) = v6 & contains_pq(v0, v2) = v5 & insert_pq(v6, v1) = v7 & ( ~ (v5 = 0) | v7 = v4))) &  ! [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] : ( ~ (i(v3) = v4) |  ~ (triple(v0, all_0_11_11, v1) = v3) |  ~ (contains_pq(v4, v2) = 0) | contains_cpq(v3, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (contains_cpq(v4, v3) = 0) |  ~ (triple(v0, v1, v2) = v4) | contains_slb(v1, v3) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | isnonempty_slb(v4) = 0) &  ! [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] : (v3 = v0 |  ~ (remove_pq(v2, v1) = v3) |  ~ (insert_pq(v0, v1) = v2)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (pi_sharp_remove(v2, v1) = v3) |  ~ (i(v0) = v2) |  ? [v4] : ( ~ (v4 = 0) & pi_remove(v0, v1) = v4)) &  ! [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 |  ~ (issmallestelement_pq(v0, v1) = 0) |  ~ (less_than(v1, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & contains_pq(v0, v2) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (contains_pq(v2, v1) = v3) |  ~ (insert_pq(v0, v1) = v2)) &  ! [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 = v1 |  ~ (contains_pq(v3, v2) = 0) |  ~ (insert_pq(v0, v1) = v3) | contains_pq(v0, v2) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = bad |  ~ (triple(v0, v1, v2) = v3) | ok(v3) = 0) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pi_sharp_removemin(v3, v2) = v1) |  ~ (pi_sharp_removemin(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pi_sharp_find_min(v3, v2) = v1) |  ~ (pi_sharp_find_min(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pi_remove(v3, v2) = v1) |  ~ (pi_remove(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pi_sharp_remove(v3, v2) = v1) |  ~ (pi_sharp_remove(v3, v2) = v0)) &  ! [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 |  ~ (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 |  ~ (issmallestelement_pq(v3, v2) = v1) |  ~ (issmallestelement_pq(v3, v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (contains_pq(v3, v2) = v1) |  ~ (contains_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 = 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] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (findmin_pqp_res(v0) = v4 & triple(v0, v9, bad) = v10 & findmin_cpq_eff(v3) = v8 & update_slb(v1, v4) = v9 & lookup_slb(v1, v4) = v6 & contains_slb(v1, v4) = v5 & strictly_less_than(v4, v6) = v7 & ( ~ (v7 = 0) |  ~ (v5 = 0) | v10 = v8))) &  ! [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 & contains_slb(v1, v4) = v5 & (v8 = v6 | v5 = 0))) &  ! [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] : (v2 = v1 |  ~ (removemin_pq_res(v0, v1) = v2) |  ? [v3] :  ? [v4] : (issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (findmin_pq_res(v0, v1) = v2) |  ? [v3] :  ? [v4] : (issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (findmin_pq_eff(v0, v1) = v2) |  ? [v3] :  ? [v4] : (issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (pi_sharp_removemin(v0, v1) = v2) |  ? [v3] :  ? [v4] : (issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (pi_sharp_find_min(v0, v1) = v2) |  ? [v3] :  ? [v4] : (issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (pi_sharp_remove(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & contains_pq(v0, v1) = v3)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (issmallestelement_pq(v0, v1) = v2) |  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & contains_pq(v0, v3) = 0 & less_than(v1, v3) = v4)) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (strictly_less_than(v0, v1) = v2) |  ? [v3] :  ? [v4] : (less_than(v1, v0) = v4 & less_than(v0, v1) = v3 & ( ~ (v3 = 0) | v4 = 0))) &  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less_than(v0, v1) = v2) | less_than(v1, v0) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (phi(v2) = v1) |  ~ (phi(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pi_removemin(v2) = v1) |  ~ (pi_removemin(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pi_find_min(v2) = v1) |  ~ (pi_find_min(v2) = v0)) &  ! [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 |  ~ (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] : (v1 = v0 |  ~ (isnonempty_pq(v2) = v1) |  ~ (isnonempty_pq(v2) = v0)) &  ! [v0] :  ! [v1] :  ! [v2] : (v1 = 0 |  ~ (phi(v0) = v1) |  ~ (ok(v2) = 0) |  ? [v3] :  ? [v4] : (check_cpq(v2) = v4 & succ_cpq(v0, v2) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0)))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (pi_sharp_remove(v2, v1) = 0) |  ~ (i(v0) = v2) | pi_remove(v0, v1) = 0) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, v1, bad) = v2) |  ? [v3] : ( ~ (v3 = 0) & ok(v2) = v3)) &  ! [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) = 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] : ( ~ (removemin_pq_eff(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (remove_pq(v0, v1) = v5 & issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = v2))) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (insert_pq(v0, v1) = v2) | isnonempty_pq(v2) = 0) &  ! [v0] :  ! [v1] : (v1 = create_slb |  ~ (update_slb(create_slb, v0) = v1)) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (pi_removemin(v0) = v1) |  ? [v2] : (i(v0) = v2 &  ! [v3] :  ~ (pi_sharp_find_min(v2, v3) = 0))) &  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (pi_find_min(v0) = v1) |  ? [v2] : (i(v0) = v2 &  ! [v3] :  ~ (pi_sharp_find_min(v2, v3) = 0))) &  ! [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] : ( ~ (pi_sharp_removemin(v0, v1) = 0) | (issmallestelement_pq(v0, v1) = 0 & contains_pq(v0, v1) = 0)) &  ! [v0] :  ! [v1] : ( ~ (pi_sharp_find_min(v0, v1) = 0) | (issmallestelement_pq(v0, v1) = 0 & contains_pq(v0, v1) = 0)) &  ! [v0] :  ! [v1] : ( ~ (pi_sharp_remove(v0, v1) = 0) | contains_pq(v0, v1) = 0) &  ! [v0] :  ! [v1] : ( ~ (removemin_cpq_res(v0) = v1) | findmin_cpq_res(v0) = v1) &  ! [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] : ( ~ (phi(v0) = 0) |  ? [v1] : (ok(v1) = 0 & check_cpq(v1) = 0 & succ_cpq(v0, v1) = 0)) &  ! [v0] : ( ~ (pi_removemin(v0) = 0) |  ? [v1] :  ? [v2] : (pi_sharp_find_min(v1, v2) = 0 & i(v0) = v1)) &  ! [v0] : ( ~ (pi_find_min(v0) = 0) |  ? [v1] :  ? [v2] : (pi_sharp_find_min(v1, v2) = 0 & i(v0) = v1)) &  ! [v0] :  ~ (contains_slb(create_slb, v0) = 0) &  ! [v0] :  ~ (contains_pq(create_pq, v0) = 0) & ((all_0_0_0 = 0 &  ~ (all_0_2_2 = 0)) | (all_0_2_2 = 0 &  ~ (all_0_0_0 = 0)))
% 42.21/12.69  |
% 42.21/12.69  | Applying alpha-rule on (1) yields:
% 42.21/12.69  | (2)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = v0 |  ~ (remove_pq(v2, v1) = v3) |  ~ (insert_pq(v0, v1) = v2))
% 42.21/12.69  | (3)  ! [v0] :  ! [v1] : ( ~ (pi_sharp_removemin(v0, v1) = 0) | (issmallestelement_pq(v0, v1) = 0 & contains_pq(v0, v1) = 0))
% 42.21/12.69  | (4)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ? [v4] : (findmin_cpq_res(v3) = v4 & findmin_pqp_res(v0) = v4))
% 42.21/12.69  | (5)  ! [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))
% 42.21/12.69  | (6)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (i(v3) = v4) |  ~ (triple(v0, all_0_11_11, v1) = v3) |  ~ (contains_pq(v4, v2) = v5) |  ? [v6] : ( ~ (v6 = 0) & contains_cpq(v3, v2) = v6))
% 42.21/12.69  | (7)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] :  ? [v8] :  ? [v9] : (update_slb(v0, v2) = v8 & insert_slb(v8, v4) = v9 & less_than(v2, v3) = v7 & ( ~ (v7 = 0) | v9 = v6)))
% 42.21/12.69  | (8)  ! [v0] :  ! [v1] : ( ~ (removemin_cpq_res(v0) = v1) | findmin_cpq_res(v0) = v1)
% 42.21/12.69  | (9) i(all_0_3_3) = all_0_1_1
% 42.21/12.69  | (10)  ! [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)
% 42.21/12.70  | (11)  ! [v0] : ( ~ (phi(v0) = 0) |  ? [v1] : (ok(v1) = 0 & check_cpq(v1) = 0 & succ_cpq(v0, v1) = 0))
% 42.21/12.70  | (12)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (less_than(v3, v2) = v1) |  ~ (less_than(v3, v2) = v0))
% 42.21/12.70  | (13)  ! [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)
% 42.21/12.70  | (14)  ! [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))
% 42.21/12.70  | (15)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (triple(v4, v3, v2) = v1) |  ~ (triple(v4, v3, v2) = v0))
% 42.21/12.70  | (16) triple(all_0_10_10, all_0_4_4, all_0_9_9) = all_0_3_3
% 42.21/12.70  | (17)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (removemin_pq_res(v3, v2) = v1) |  ~ (removemin_pq_res(v3, v2) = v0))
% 42.21/12.70  | (18)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pi_sharp_find_min(v3, v2) = v1) |  ~ (pi_sharp_find_min(v3, v2) = v0))
% 42.21/12.70  | (19) contains_pq(all_0_1_1, all_0_6_6) = all_0_0_0
% 42.21/12.70  | (20)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (contains_pq(v3, v2) = v1) |  ~ (contains_pq(v3, v2) = v0))
% 42.21/12.70  | (21)  ~ (all_0_13_13 = 0)
% 42.21/12.70  | (22)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : (v2 = v1 |  ~ (lookup_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] :  ? [v8] : (lookup_slb(v0, v2) = v8 & contains_slb(v0, v2) = v7 & ( ~ (v7 = 0) | v8 = v6)))
% 42.21/12.70  | (23)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (contains_cpq(v4, v3) = 0) |  ~ (triple(v0, v1, v2) = v4) | contains_slb(v1, v3) = 0)
% 42.21/12.70  | (24)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (contains_pq(v2, v1) = v3) |  ~ (insert_pq(v0, v1) = v2))
% 42.21/12.70  | (25)  ! [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))
% 42.21/12.70  | (26)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (update_slb(v5, v2) = v6) |  ~ (pair(v1, v3) = v4) |  ~ (insert_slb(v0, v4) = v5) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (update_slb(v0, v2) = v8 & pair(v1, v2) = v9 & insert_slb(v8, v9) = v10 & strictly_less_than(v3, v2) = v7 & ( ~ (v7 = 0) | v10 = v6)))
% 42.21/12.70  | (27)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (contains_cpq(v3, v2) = v1) |  ~ (contains_cpq(v3, v2) = v0))
% 42.21/12.70  | (28)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (phi(v2) = v1) |  ~ (phi(v2) = v0))
% 42.21/12.70  | (29)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (removemin_pq_res(v0, v1) = v2) |  ? [v3] :  ? [v4] : (issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0))))
% 42.21/12.70  | (30)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v0 |  ~ (remove_slb(v4, v1) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4))
% 42.21/12.70  | (31)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (pi_find_min(v0) = v1) |  ? [v2] : (i(v0) = v2 &  ! [v3] :  ~ (pi_sharp_find_min(v2, v3) = 0)))
% 42.21/12.70  | (32)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4) | isnonempty_slb(v4) = 0)
% 42.21/12.70  | (33)  ! [v0] :  ~ (contains_slb(create_slb, v0) = 0)
% 42.21/12.70  | (34)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = bad |  ~ (triple(v0, v1, v2) = v3) | ok(v3) = 0)
% 42.21/12.70  | (35)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = create_slb |  ~ (triple(v0, v1, v2) = v3) |  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] : (findmin_pqp_res(v0) = v4 & triple(v0, v9, bad) = v10 & findmin_cpq_eff(v3) = v8 & update_slb(v1, v4) = v9 & lookup_slb(v1, v4) = v6 & contains_slb(v1, v4) = v5 & strictly_less_than(v4, v6) = v7 & ( ~ (v7 = 0) |  ~ (v5 = 0) | v10 = v8)))
% 42.21/12.70  | (36)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_slb(v3, v2) = v1) |  ~ (insert_slb(v3, v2) = v0))
% 42.21/12.70  | (37)  ! [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))
% 42.21/12.70  | (38)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pi_sharp_remove(v3, v2) = v1) |  ~ (pi_sharp_remove(v3, v2) = v0))
% 42.21/12.71  | (39)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_pq(v3, v2) = v1) |  ~ (insert_pq(v3, v2) = v0))
% 42.21/12.71  | (40)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_pq(v3, v2) = v1) |  ~ (remove_pq(v3, v2) = v0))
% 42.21/12.71  | (41)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (pi_sharp_remove(v0, v1) = v2) |  ? [v3] : ( ~ (v3 = 0) & contains_pq(v0, v1) = v3))
% 42.21/12.71  | (42)  ! [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 & contains_slb(v1, v4) = v5 & (v8 = v6 | v5 = 0)))
% 42.21/12.71  | (43)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (strictly_less_than(v0, v1) = v2) |  ? [v3] :  ? [v4] : (less_than(v1, v0) = v4 & less_than(v0, v1) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 42.21/12.71  | (44)  ! [v0] :  ! [v1] : ( ~ (pi_sharp_find_min(v0, v1) = 0) | (issmallestelement_pq(v0, v1) = 0 & contains_pq(v0, v1) = 0))
% 42.21/12.71  | (45)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v1 = v0 |  ~ (pair_in_list(v4, v3, v2) = v1) |  ~ (pair_in_list(v4, v3, v2) = v0))
% 42.21/12.71  | (46)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = 0 |  ~ (phi(v0) = v1) |  ~ (ok(v2) = 0) |  ? [v3] :  ? [v4] : (check_cpq(v2) = v4 & succ_cpq(v0, v2) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0))))
% 42.21/12.71  | (47)  ! [v0] :  ~ (contains_pq(create_pq, v0) = 0)
% 42.21/12.71  | (48)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v0 |  ~ (findmin_pq_eff(v0, v1) = v2) |  ? [v3] :  ? [v4] : (issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0))))
% 42.21/12.71  | (49)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (removemin_cpq_res(v2) = v1) |  ~ (removemin_cpq_res(v2) = v0))
% 42.21/12.71  | (50)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (removemin_pq_eff(v0, v1) = v2) |  ? [v3] :  ? [v4] :  ? [v5] : (remove_pq(v0, v1) = v5 & issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0) | v5 = v2)))
% 42.21/12.71  | (51)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) |  ? [v3] : (triple(v0, create_slb, bad) = v3 & findmin_cpq_eff(v2) = v3))
% 42.21/12.71  | (52)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pi_remove(v3, v2) = v1) |  ~ (pi_remove(v3, v2) = v0))
% 42.21/12.71  | (53)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (removemin_cpq_eff(v2) = v1) |  ~ (removemin_cpq_eff(v2) = v0))
% 42.21/12.71  | (54)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | i(v2) = create_pq)
% 42.21/12.71  | (55)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (issmallestelement_pq(v0, v1) = 0) |  ~ (less_than(v1, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & contains_pq(v0, v2) = v4))
% 42.21/12.71  | (56)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (findmin_pq_res(v3, v2) = v1) |  ~ (findmin_pq_res(v3, v2) = v0))
% 42.21/12.71  | (57)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] :  ! [v7] : ( ~ (triple(v0, v6, v2) = v7) |  ~ (pair(v3, v4) = v5) |  ~ (insert_slb(v1, v5) = v6) |  ? [v8] :  ? [v9] : (check_cpq(v7) = v9 & strictly_less_than(v3, v4) = v8 & ( ~ (v9 = 0) |  ~ (v8 = 0))))
% 42.21/12.71  | (58)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (issmallestelement_pq(v3, v2) = v1) |  ~ (issmallestelement_pq(v3, v2) = v0))
% 42.21/12.71  | (59)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (contains_slb(v3, v2) = v1) |  ~ (contains_slb(v3, v2) = v0))
% 42.21/12.71  | (60)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (update_slb(v3, v2) = v1) |  ~ (update_slb(v3, v2) = v0))
% 42.21/12.71  | (61)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_pqp(v3, v2) = v1) |  ~ (insert_pqp(v3, v2) = v0))
% 42.21/12.71  | (62)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (removemin_pq_eff(v3, v2) = v1) |  ~ (removemin_pq_eff(v3, v2) = v0))
% 42.21/12.71  | (63)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (removemin_cpq_eff(v1) = v2) |  ~ (succ_cpq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & succ_cpq(v0, v1) = v4))
% 42.21/12.71  | (64)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_cpq_res(v2) = v1) |  ~ (findmin_cpq_res(v2) = v0))
% 42.21/12.71  | (65)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (less_than(v0, v1) = v2) | less_than(v1, v0) = 0)
% 42.21/12.71  | (66)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v2 = v1 |  ~ (contains_pq(v3, v2) = 0) |  ~ (insert_pq(v0, v1) = v3) | contains_pq(v0, v2) = 0)
% 42.21/12.71  | (67)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, v1, bad) = v2) |  ? [v3] : ( ~ (v3 = 0) & ok(v2) = v3))
% 42.21/12.72  | (68)  ! [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] :  ? [v8] :  ? [v9] :  ? [v10] : (triple(v0, v1, v2) = v9 & findmin_cpq_eff(v9) = v10 & lookup_slb(v1, v3) = v7 & contains_slb(v1, v3) = v6 & less_than(v7, v3) = v8 & ( ~ (v8 = 0) |  ~ (v6 = 0) | v10 = v5)))
% 42.21/12.72  | (69)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (succ_cpq(v0, v0) = v1))
% 42.21/12.72  | (70)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (check_cpq(v2) = v1) |  ~ (check_cpq(v2) = v0))
% 42.21/12.72  | (71)  ~ (all_0_12_12 = 0)
% 42.21/12.72  | (72)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (less_than(bottom, v0) = v1))
% 42.21/12.72  | (73)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pi_removemin(v2) = v1) |  ~ (pi_removemin(v2) = v0))
% 42.21/12.72  | (74)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_slb(v3, v2) = v1) |  ~ (remove_slb(v3, v2) = v0))
% 42.21/12.72  | (75)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_pqp_res(v2) = v1) |  ~ (findmin_pqp_res(v2) = v0))
% 42.21/12.72  | (76) (all_0_0_0 = 0 &  ~ (all_0_2_2 = 0)) | (all_0_2_2 = 0 &  ~ (all_0_0_0 = 0))
% 42.21/12.72  | (77)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | findmin_cpq_res(v2) = bottom)
% 42.21/12.72  | (78)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : ( ~ (i(v3) = v4) |  ~ (triple(v0, all_0_11_11, v1) = v3) |  ~ (contains_pq(v4, v2) = 0) | contains_cpq(v3, v2) = 0)
% 42.62/12.72  | (79)  ! [v0] : ( ~ (pi_find_min(v0) = 0) |  ? [v1] :  ? [v2] : (pi_sharp_find_min(v1, v2) = 0 & i(v0) = v1))
% 42.62/12.72  | (80)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = v2 |  ~ (lookup_slb(v4, v1) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4))
% 42.62/12.72  | (81)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (pi_find_min(v2) = v1) |  ~ (pi_find_min(v2) = v0))
% 42.62/12.72  | (82)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (triple(v0, create_slb, v1) = v2) | check_cpq(v2) = 0)
% 42.62/12.72  | (83)  ! [v0] :  ! [v1] : ( ~ (strictly_less_than(v0, v1) = 0) |  ? [v2] : ( ~ (v2 = 0) & less_than(v1, v0) = v2 & less_than(v0, v1) = 0))
% 42.62/12.72  | (84)  ! [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))
% 42.62/12.72  | (85) insert_slb(all_0_11_11, all_0_5_5) = all_0_4_4
% 42.62/12.72  | (86)  ! [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)
% 42.62/12.72  | (87) contains_cpq(all_0_3_3, all_0_6_6) = all_0_2_2
% 42.62/12.72  | (88)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (pi_sharp_remove(v2, v1) = v3) |  ~ (i(v0) = v2) |  ? [v4] : ( ~ (v4 = 0) & pi_remove(v0, v1) = v4))
% 42.62/12.72  | (89)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (isnonempty_slb(v2) = v1) |  ~ (isnonempty_slb(v2) = v0))
% 42.62/12.72  | (90)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_cpq(v3, v2) = v1) |  ~ (remove_cpq(v3, v2) = v0))
% 42.62/12.72  | (91)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (pair_in_list(v4, v1, v2) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4))
% 42.62/12.72  | (92)  ! [v0] :  ! [v1] : (v1 = create_slb |  ~ (update_slb(create_slb, v0) = v1))
% 42.62/12.72  | (93)  ! [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] :  ? [v11] : (triple(v0, v1, v2) = v10 & check_cpq(v10) = v11 & check_cpq(v7) = v9 & less_than(v4, v3) = v8 & ( ~ (v8 = 0) | (( ~ (v11 = 0) | v9 = 0) & ( ~ (v9 = 0) | v11 = 0)))))
% 42.62/12.72  | (94)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (insert_pq(v0, v1) = v2) | isnonempty_pq(v2) = 0)
% 42.62/12.72  | (95)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (insert_cpq(v3, v2) = v1) |  ~ (insert_cpq(v3, v2) = v0))
% 42.62/12.72  | (96)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (pi_sharp_removemin(v0, v1) = v2) |  ? [v3] :  ? [v4] : (issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0))))
% 42.62/12.72  | (97)  ! [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))
% 42.62/12.72  | (98)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (less_than(v0, v0) = v1))
% 42.62/12.73  | (99)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (less_than(v0, v2) = v3) |  ~ (less_than(v0, v1) = 0) |  ? [v4] : ( ~ (v4 = 0) & less_than(v1, v2) = v4))
% 42.62/12.73  | (100)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (i(v2) = v1) |  ~ (i(v2) = v0))
% 42.62/12.73  | (101)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v4 = 0 |  ~ (contains_pq(v3, v2) = v4) |  ~ (insert_pq(v0, v1) = v3) |  ? [v5] : ( ~ (v5 = 0) & contains_pq(v0, v2) = v5))
% 42.62/12.73  | (102)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (findmin_cpq_eff(v2) = v1) |  ~ (findmin_cpq_eff(v2) = v0))
% 42.62/12.73  | (103)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (remove_pqp(v3, v2) = v1) |  ~ (remove_pqp(v3, v2) = v0))
% 42.62/12.73  | (104)  ! [v0] :  ! [v1] :  ~ (pair_in_list(create_slb, v0, v1) = 0)
% 42.62/12.73  | (105) isnonempty_pq(create_pq) = all_0_13_13
% 42.62/12.73  | (106)  ! [v0] :  ! [v1] : ( ~ (pi_sharp_remove(v0, v1) = 0) | contains_pq(v0, v1) = 0)
% 42.62/12.73  | (107)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (issmallestelement_pq(v0, v1) = v2) |  ? [v3] :  ? [v4] : ( ~ (v4 = 0) & contains_pq(v0, v3) = 0 & less_than(v1, v3) = v4))
% 42.62/12.73  | (108)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = v1 |  ~ (findmin_pq_res(v0, v1) = v2) |  ? [v3] :  ? [v4] : (issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0))))
% 42.62/12.73  | (109)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (succ_cpq(v3, v2) = v1) |  ~ (succ_cpq(v3, v2) = v0))
% 42.62/12.73  | (110) isnonempty_slb(create_slb) = all_0_12_12
% 42.62/12.73  | (111)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v3 = 0 |  ~ (findmin_cpq_eff(v1) = v2) |  ~ (succ_cpq(v0, v2) = v3) |  ? [v4] : ( ~ (v4 = 0) & succ_cpq(v0, v1) = v4))
% 42.62/12.73  | (112)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (findmin_pq_eff(v3, v2) = v1) |  ~ (findmin_pq_eff(v3, v2) = v0))
% 42.62/12.73  | (113) pair(all_0_8_8, all_0_7_7) = all_0_5_5
% 42.62/12.73  | (114)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : (v5 = 0 |  ~ (contains_slb(v4, v1) = v5) |  ~ (pair(v1, v2) = v3) |  ~ (insert_slb(v0, v3) = v4))
% 42.62/12.73  | (115)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ (pi_sharp_remove(v2, v1) = 0) |  ~ (i(v0) = v2) | pi_remove(v0, v1) = 0)
% 42.62/12.73  | (116)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] :  ! [v6] : ( ~ (remove_pqp(v0, v3) = v4) |  ~ (triple(v4, v5, v2) = v6) |  ~ (remove_slb(v1, v3) = v5) |  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (triple(v0, v1, v2) = v10 & remove_cpq(v10, v3) = v11 & lookup_slb(v1, v3) = v8 & contains_slb(v1, v3) = v7 & less_than(v8, v3) = v9 & ( ~ (v9 = 0) |  ~ (v7 = 0) | v11 = v6)))
% 42.62/12.73  | (117)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ? [v6] :  ? [v7] : (triple(v0, v1, bad) = v7 & contains_slb(v1, v3) = v6 & (v7 = v5 | v6 = 0)))
% 42.62/12.73  | (118)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (ok(v2) = v1) |  ~ (ok(v2) = v0))
% 42.62/12.73  | (119)  ! [v0] :  ! [v1] : (v1 = 0 |  ~ (pi_removemin(v0) = v1) |  ? [v2] : (i(v0) = v2 &  ! [v3] :  ~ (pi_sharp_find_min(v2, v3) = 0)))
% 42.62/12.73  | (120)  ! [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))
% 42.62/12.73  | (121)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : ( ~ (findmin_cpq_res(v0) = v2) |  ~ (findmin_cpq_eff(v0) = v1) |  ~ (remove_cpq(v1, v2) = v3) | removemin_cpq_eff(v0) = v3)
% 42.62/12.73  | (122)  ! [v0] :  ! [v1] :  ! [v2] : (v2 = 0 |  ~ (pi_sharp_find_min(v0, v1) = v2) |  ? [v3] :  ? [v4] : (issmallestelement_pq(v0, v1) = v4 & contains_pq(v0, v1) = v3 & ( ~ (v4 = 0) |  ~ (v3 = 0))))
% 42.62/12.73  | (123)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (strictly_less_than(v3, v2) = v1) |  ~ (strictly_less_than(v3, v2) = v0))
% 42.62/12.73  | (124)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (lookup_slb(v3, v2) = v1) |  ~ (lookup_slb(v3, v2) = v0))
% 42.62/12.73  | (125)  ! [v0] :  ! [v1] :  ! [v2] : (v1 = v0 |  ~ (isnonempty_pq(v2) = v1) |  ~ (isnonempty_pq(v2) = v0))
% 42.62/12.73  | (126)  ! [v0] : ( ~ (pi_removemin(v0) = 0) |  ? [v1] :  ? [v2] : (pi_sharp_find_min(v1, v2) = 0 & i(v0) = v1))
% 42.62/12.73  | (127)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pi_sharp_removemin(v3, v2) = v1) |  ~ (pi_sharp_removemin(v3, v2) = v0))
% 42.62/12.73  | (128)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] :  ! [v5] : ( ~ (triple(v0, v1, v2) = v4) |  ~ (remove_cpq(v4, v3) = v5) |  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] : (remove_pqp(v0, v3) = v9 & triple(v9, v10, bad) = v11 & lookup_slb(v1, v3) = v7 & remove_slb(v1, v3) = v10 & contains_slb(v1, v3) = v6 & strictly_less_than(v3, v7) = v8 & ( ~ (v8 = 0) |  ~ (v6 = 0) | v11 = v5)))
% 42.62/12.74  | (129)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] :  ! [v4] : (v2 = v1 |  ~ (remove_pq(v3, v2) = v4) |  ~ (insert_pq(v0, v1) = v3) |  ? [v5] :  ? [v6] :  ? [v7] : (remove_pq(v0, v2) = v6 & contains_pq(v0, v2) = v5 & insert_pq(v6, v1) = v7 & ( ~ (v5 = 0) | v7 = v4)))
% 42.62/12.74  | (130)  ! [v0] :  ! [v1] :  ! [v2] :  ! [v3] : (v1 = v0 |  ~ (pair(v3, v2) = v1) |  ~ (pair(v3, v2) = v0))
% 42.62/12.74  | (131)  ! [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))
% 42.62/12.74  | (132)  ! [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] :  ? [v9] : (remove_slb(v0, v2) = v8 & contains_slb(v0, v2) = v7 & insert_slb(v8, v4) = v9 & ( ~ (v7 = 0) | v9 = v6)))
% 42.62/12.74  |
% 42.62/12.74  | Instantiating formula (23) with all_0_3_3, all_0_6_6, all_0_9_9, all_0_4_4, all_0_10_10 and discharging atoms triple(all_0_10_10, all_0_4_4, all_0_9_9) = all_0_3_3, yields:
% 42.62/12.74  | (133)  ~ (contains_cpq(all_0_3_3, all_0_6_6) = 0) | contains_slb(all_0_4_4, all_0_6_6) = 0
% 42.62/12.74  |
% 42.62/12.74  | Instantiating formula (25) with all_0_2_2, all_0_3_3, all_0_6_6, all_0_9_9, all_0_4_4, all_0_10_10 and discharging atoms contains_cpq(all_0_3_3, all_0_6_6) = all_0_2_2, triple(all_0_10_10, all_0_4_4, all_0_9_9) = all_0_3_3, yields:
% 42.62/12.74  | (134) all_0_2_2 = 0 |  ? [v0] : ( ~ (v0 = 0) & contains_slb(all_0_4_4, all_0_6_6) = v0)
% 42.62/12.74  |
% 42.62/12.74  | Instantiating formula (93) with all_0_3_3, all_0_4_4, all_0_5_5, all_0_7_7, all_0_8_8, all_0_9_9, all_0_11_11, all_0_10_10 and discharging atoms triple(all_0_10_10, all_0_4_4, all_0_9_9) = all_0_3_3, pair(all_0_8_8, all_0_7_7) = all_0_5_5, insert_slb(all_0_11_11, all_0_5_5) = all_0_4_4, yields:
% 42.62/12.74  | (135)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] : (triple(all_0_10_10, all_0_11_11, all_0_9_9) = v2 & check_cpq(v2) = v3 & check_cpq(all_0_3_3) = v1 & less_than(all_0_7_7, all_0_8_8) = v0 & ( ~ (v0 = 0) | (( ~ (v3 = 0) | v1 = 0) & ( ~ (v1 = 0) | v3 = 0))))
% 42.62/12.74  |
% 42.62/12.74  | Instantiating formula (14) with all_0_3_3, all_0_4_4, all_0_5_5, all_0_7_7, all_0_8_8, all_0_9_9, all_0_11_11, all_0_10_10 and discharging atoms triple(all_0_10_10, all_0_4_4, all_0_9_9) = all_0_3_3, pair(all_0_8_8, all_0_7_7) = all_0_5_5, insert_slb(all_0_11_11, all_0_5_5) = all_0_4_4, yields:
% 42.62/12.74  | (136)  ? [v0] :  ? [v1] :  ? [v2] : (i(v1) = v2 & i(all_0_3_3) = v0 & triple(all_0_10_10, all_0_11_11, all_0_9_9) = v1 & insert_pq(v2, all_0_8_8) = v0)
% 42.62/12.74  |
% 42.62/12.74  | Instantiating (136) with all_11_0_16, all_11_1_17, all_11_2_18 yields:
% 42.62/12.74  | (137) i(all_11_1_17) = all_11_0_16 & i(all_0_3_3) = all_11_2_18 & triple(all_0_10_10, all_0_11_11, all_0_9_9) = all_11_1_17 & insert_pq(all_11_0_16, all_0_8_8) = all_11_2_18
% 42.62/12.74  |
% 42.62/12.74  | Applying alpha-rule on (137) yields:
% 42.62/12.74  | (138) i(all_11_1_17) = all_11_0_16
% 42.62/12.74  | (139) i(all_0_3_3) = all_11_2_18
% 42.62/12.74  | (140) triple(all_0_10_10, all_0_11_11, all_0_9_9) = all_11_1_17
% 42.62/12.74  | (141) insert_pq(all_11_0_16, all_0_8_8) = all_11_2_18
% 42.62/12.74  |
% 42.62/12.74  | Instantiating (135) with all_13_0_19, all_13_1_20, all_13_2_21, all_13_3_22 yields:
% 42.62/12.74  | (142) triple(all_0_10_10, all_0_11_11, all_0_9_9) = all_13_1_20 & check_cpq(all_13_1_20) = all_13_0_19 & check_cpq(all_0_3_3) = all_13_2_21 & less_than(all_0_7_7, all_0_8_8) = all_13_3_22 & ( ~ (all_13_3_22 = 0) | (( ~ (all_13_0_19 = 0) | all_13_2_21 = 0) & ( ~ (all_13_2_21 = 0) | all_13_0_19 = 0)))
% 42.62/12.74  |
% 42.62/12.74  | Applying alpha-rule on (142) yields:
% 42.62/12.74  | (143) triple(all_0_10_10, all_0_11_11, all_0_9_9) = all_13_1_20
% 42.62/12.74  | (144) less_than(all_0_7_7, all_0_8_8) = all_13_3_22
% 42.62/12.74  | (145) check_cpq(all_13_1_20) = all_13_0_19
% 42.62/12.74  | (146)  ~ (all_13_3_22 = 0) | (( ~ (all_13_0_19 = 0) | all_13_2_21 = 0) & ( ~ (all_13_2_21 = 0) | all_13_0_19 = 0))
% 42.62/12.74  | (147) check_cpq(all_0_3_3) = all_13_2_21
% 42.62/12.74  |
% 42.62/12.74  | Instantiating formula (100) with all_0_3_3, all_11_2_18, all_0_1_1 and discharging atoms i(all_0_3_3) = all_11_2_18, i(all_0_3_3) = all_0_1_1, yields:
% 42.62/12.74  | (148) all_11_2_18 = all_0_1_1
% 42.62/12.74  |
% 42.62/12.74  | Instantiating formula (15) with all_0_10_10, all_0_11_11, all_0_9_9, all_11_1_17, all_13_1_20 and discharging atoms triple(all_0_10_10, all_0_11_11, all_0_9_9) = all_13_1_20, triple(all_0_10_10, all_0_11_11, all_0_9_9) = all_11_1_17, yields:
% 42.62/12.74  | (149) all_13_1_20 = all_11_1_17
% 42.62/12.74  |
% 42.62/12.74  | From (149) and (143) follows:
% 42.62/12.74  | (140) triple(all_0_10_10, all_0_11_11, all_0_9_9) = all_11_1_17
% 42.62/12.74  |
% 42.62/12.74  | From (148) and (141) follows:
% 42.62/12.74  | (151) insert_pq(all_11_0_16, all_0_8_8) = all_0_1_1
% 42.62/12.74  |
% 42.62/12.74  | Instantiating formula (24) with all_0_0_0, all_0_1_1, all_0_8_8, all_11_0_16 and discharging atoms insert_pq(all_11_0_16, all_0_8_8) = all_0_1_1, yields:
% 42.62/12.74  | (152) all_0_0_0 = 0 |  ~ (contains_pq(all_0_1_1, all_0_8_8) = all_0_0_0)
% 42.62/12.74  |
% 42.62/12.74  | Instantiating formula (66) with all_0_1_1, all_0_6_6, all_0_8_8, all_11_0_16 and discharging atoms insert_pq(all_11_0_16, all_0_8_8) = all_0_1_1, yields:
% 42.62/12.74  | (153) all_0_6_6 = all_0_8_8 |  ~ (contains_pq(all_0_1_1, all_0_6_6) = 0) | contains_pq(all_11_0_16, all_0_6_6) = 0
% 42.62/12.74  |
% 42.62/12.74  | Instantiating formula (101) with all_0_0_0, all_0_1_1, all_0_6_6, all_0_8_8, all_11_0_16 and discharging atoms contains_pq(all_0_1_1, all_0_6_6) = all_0_0_0, insert_pq(all_11_0_16, all_0_8_8) = all_0_1_1, yields:
% 42.62/12.74  | (154) all_0_0_0 = 0 |  ? [v0] : ( ~ (v0 = 0) & contains_pq(all_11_0_16, all_0_6_6) = v0)
% 42.62/12.74  |
% 42.62/12.74  +-Applying beta-rule and splitting (76), into two cases.
% 42.62/12.74  |-Branch one:
% 42.62/12.74  | (155) all_0_0_0 = 0 &  ~ (all_0_2_2 = 0)
% 42.62/12.74  |
% 42.62/12.74  	| Applying alpha-rule on (155) yields:
% 42.62/12.74  	| (156) all_0_0_0 = 0
% 42.62/12.74  	| (157)  ~ (all_0_2_2 = 0)
% 42.62/12.74  	|
% 42.62/12.74  	| From (156) and (19) follows:
% 42.62/12.74  	| (158) contains_pq(all_0_1_1, all_0_6_6) = 0
% 42.62/12.74  	|
% 42.62/12.74  	+-Applying beta-rule and splitting (134), into two cases.
% 42.62/12.74  	|-Branch one:
% 42.62/12.74  	| (159) all_0_2_2 = 0
% 42.62/12.74  	|
% 42.62/12.74  		| Equations (159) can reduce 157 to:
% 42.62/12.74  		| (160) $false
% 42.62/12.74  		|
% 42.62/12.74  		|-The branch is then unsatisfiable
% 42.62/12.74  	|-Branch two:
% 42.62/12.74  	| (157)  ~ (all_0_2_2 = 0)
% 42.62/12.74  	| (162)  ? [v0] : ( ~ (v0 = 0) & contains_slb(all_0_4_4, all_0_6_6) = v0)
% 42.62/12.74  	|
% 42.62/12.74  		| Instantiating (162) with all_174_0_73 yields:
% 42.62/12.74  		| (163)  ~ (all_174_0_73 = 0) & contains_slb(all_0_4_4, all_0_6_6) = all_174_0_73
% 42.62/12.74  		|
% 42.62/12.74  		| Applying alpha-rule on (163) yields:
% 42.62/12.74  		| (164)  ~ (all_174_0_73 = 0)
% 42.62/12.74  		| (165) contains_slb(all_0_4_4, all_0_6_6) = all_174_0_73
% 42.62/12.74  		|
% 42.62/12.74  		| Instantiating formula (114) with all_174_0_73, all_0_4_4, all_0_5_5, all_0_7_7, all_0_8_8, all_0_11_11 and discharging atoms pair(all_0_8_8, all_0_7_7) = all_0_5_5, insert_slb(all_0_11_11, all_0_5_5) = all_0_4_4, yields:
% 42.62/12.74  		| (166) all_174_0_73 = 0 |  ~ (contains_slb(all_0_4_4, all_0_8_8) = all_174_0_73)
% 42.62/12.74  		|
% 42.62/12.74  		+-Applying beta-rule and splitting (166), into two cases.
% 42.62/12.74  		|-Branch one:
% 42.62/12.74  		| (167)  ~ (contains_slb(all_0_4_4, all_0_8_8) = all_174_0_73)
% 42.62/12.75  		|
% 42.62/12.75  			| Using (165) and (167) yields:
% 42.62/12.75  			| (168)  ~ (all_0_6_6 = all_0_8_8)
% 42.62/12.75  			|
% 42.62/12.75  			+-Applying beta-rule and splitting (153), into two cases.
% 42.62/12.75  			|-Branch one:
% 42.62/12.75  			| (169)  ~ (contains_pq(all_0_1_1, all_0_6_6) = 0)
% 42.62/12.75  			|
% 42.62/12.75  				| Using (158) and (169) yields:
% 42.62/12.75  				| (170) $false
% 42.62/12.75  				|
% 42.62/12.75  				|-The branch is then unsatisfiable
% 42.62/12.75  			|-Branch two:
% 42.62/12.75  			| (158) contains_pq(all_0_1_1, all_0_6_6) = 0
% 42.62/12.75  			| (172) all_0_6_6 = all_0_8_8 | contains_pq(all_11_0_16, all_0_6_6) = 0
% 42.62/12.75  			|
% 42.62/12.75  				+-Applying beta-rule and splitting (172), into two cases.
% 42.62/12.75  				|-Branch one:
% 42.62/12.75  				| (173) contains_pq(all_11_0_16, all_0_6_6) = 0
% 42.62/12.75  				|
% 42.62/12.75  					| Instantiating formula (131) with all_174_0_73, all_0_4_4, all_0_5_5, all_0_7_7, all_0_6_6, all_0_8_8, all_0_11_11 and discharging atoms contains_slb(all_0_4_4, all_0_6_6) = all_174_0_73, pair(all_0_8_8, all_0_7_7) = all_0_5_5, insert_slb(all_0_11_11, all_0_5_5) = all_0_4_4, yields:
% 42.62/12.75  					| (174) all_174_0_73 = 0 |  ? [v0] : ( ~ (v0 = 0) & contains_slb(all_0_11_11, all_0_6_6) = v0)
% 42.62/12.75  					|
% 42.62/12.75  					| Instantiating formula (78) with all_11_0_16, all_11_1_17, all_0_6_6, all_0_9_9, all_0_10_10 and discharging atoms i(all_11_1_17) = all_11_0_16, triple(all_0_10_10, all_0_11_11, all_0_9_9) = all_11_1_17, contains_pq(all_11_0_16, all_0_6_6) = 0, yields:
% 42.62/12.75  					| (175) contains_cpq(all_11_1_17, all_0_6_6) = 0
% 42.62/12.75  					|
% 42.62/12.75  					+-Applying beta-rule and splitting (174), into two cases.
% 42.62/12.75  					|-Branch one:
% 42.62/12.75  					| (176) all_174_0_73 = 0
% 42.62/12.75  					|
% 42.62/12.75  						| Equations (176) can reduce 164 to:
% 42.62/12.75  						| (160) $false
% 42.62/12.75  						|
% 42.62/12.75  						|-The branch is then unsatisfiable
% 42.62/12.75  					|-Branch two:
% 42.62/12.75  					| (164)  ~ (all_174_0_73 = 0)
% 42.62/12.75  					| (179)  ? [v0] : ( ~ (v0 = 0) & contains_slb(all_0_11_11, all_0_6_6) = v0)
% 42.62/12.75  					|
% 42.62/12.75  						| Instantiating (179) with all_530_0_105 yields:
% 42.62/12.75  						| (180)  ~ (all_530_0_105 = 0) & contains_slb(all_0_11_11, all_0_6_6) = all_530_0_105
% 42.62/12.75  						|
% 42.62/12.75  						| Applying alpha-rule on (180) yields:
% 42.62/12.75  						| (181)  ~ (all_530_0_105 = 0)
% 42.62/12.75  						| (182) contains_slb(all_0_11_11, all_0_6_6) = all_530_0_105
% 42.62/12.75  						|
% 42.62/12.75  						| Instantiating formula (59) with all_0_11_11, all_0_6_6, all_530_0_105, 0 and discharging atoms contains_slb(all_0_11_11, all_0_6_6) = all_530_0_105, yields:
% 42.62/12.75  						| (183) all_530_0_105 = 0 |  ~ (contains_slb(all_0_11_11, all_0_6_6) = 0)
% 42.62/12.75  						|
% 42.62/12.75  						| Instantiating formula (23) with all_11_1_17, all_0_6_6, all_0_9_9, all_0_11_11, all_0_10_10 and discharging atoms contains_cpq(all_11_1_17, all_0_6_6) = 0, triple(all_0_10_10, all_0_11_11, all_0_9_9) = all_11_1_17, yields:
% 42.62/12.75  						| (184) contains_slb(all_0_11_11, all_0_6_6) = 0
% 42.62/12.75  						|
% 42.62/12.75  						+-Applying beta-rule and splitting (183), into two cases.
% 42.62/12.75  						|-Branch one:
% 42.62/12.75  						| (185)  ~ (contains_slb(all_0_11_11, all_0_6_6) = 0)
% 42.62/12.75  						|
% 42.62/12.75  							| Using (184) and (185) yields:
% 42.62/12.75  							| (170) $false
% 42.62/12.75  							|
% 42.62/12.75  							|-The branch is then unsatisfiable
% 42.62/12.75  						|-Branch two:
% 42.62/12.75  						| (184) contains_slb(all_0_11_11, all_0_6_6) = 0
% 42.62/12.75  						| (188) all_530_0_105 = 0
% 42.62/12.75  						|
% 42.62/12.75  							| Equations (188) can reduce 181 to:
% 42.62/12.75  							| (160) $false
% 42.62/12.75  							|
% 42.62/12.75  							|-The branch is then unsatisfiable
% 42.62/12.75  				|-Branch two:
% 42.62/12.75  				| (190)  ~ (contains_pq(all_11_0_16, all_0_6_6) = 0)
% 42.62/12.75  				| (191) all_0_6_6 = all_0_8_8
% 42.62/12.75  				|
% 42.62/12.75  					| Equations (191) can reduce 168 to:
% 42.62/12.75  					| (160) $false
% 42.62/12.75  					|
% 42.62/12.75  					|-The branch is then unsatisfiable
% 42.62/12.75  		|-Branch two:
% 42.62/12.75  		| (193) contains_slb(all_0_4_4, all_0_8_8) = all_174_0_73
% 42.62/12.75  		| (176) all_174_0_73 = 0
% 42.62/12.75  		|
% 42.62/12.75  			| Equations (176) can reduce 164 to:
% 42.62/12.75  			| (160) $false
% 42.62/12.75  			|
% 42.62/12.75  			|-The branch is then unsatisfiable
% 42.62/12.75  |-Branch two:
% 42.62/12.75  | (196) all_0_2_2 = 0 &  ~ (all_0_0_0 = 0)
% 42.62/12.75  |
% 42.62/12.75  	| Applying alpha-rule on (196) yields:
% 42.62/12.75  	| (159) all_0_2_2 = 0
% 42.62/12.75  	| (198)  ~ (all_0_0_0 = 0)
% 42.62/12.75  	|
% 42.62/12.75  	| From (159) and (87) follows:
% 42.62/12.75  	| (199) contains_cpq(all_0_3_3, all_0_6_6) = 0
% 42.62/12.75  	|
% 42.62/12.75  	+-Applying beta-rule and splitting (133), into two cases.
% 42.62/12.75  	|-Branch one:
% 42.62/12.75  	| (200) contains_slb(all_0_4_4, all_0_6_6) = 0
% 42.62/12.75  	|
% 42.62/12.75  		+-Applying beta-rule and splitting (152), into two cases.
% 42.62/12.75  		|-Branch one:
% 42.62/12.75  		| (201)  ~ (contains_pq(all_0_1_1, all_0_8_8) = all_0_0_0)
% 42.62/12.75  		|
% 42.62/12.75  			+-Applying beta-rule and splitting (154), into two cases.
% 42.62/12.75  			|-Branch one:
% 42.62/12.75  			| (156) all_0_0_0 = 0
% 42.62/12.75  			|
% 42.62/12.75  				| Equations (156) can reduce 198 to:
% 42.62/12.75  				| (160) $false
% 42.62/12.75  				|
% 42.62/12.75  				|-The branch is then unsatisfiable
% 42.62/12.75  			|-Branch two:
% 42.62/12.75  			| (198)  ~ (all_0_0_0 = 0)
% 42.62/12.75  			| (205)  ? [v0] : ( ~ (v0 = 0) & contains_pq(all_11_0_16, all_0_6_6) = v0)
% 42.62/12.75  			|
% 42.62/12.75  				| Instantiating (205) with all_189_0_150 yields:
% 42.62/12.75  				| (206)  ~ (all_189_0_150 = 0) & contains_pq(all_11_0_16, all_0_6_6) = all_189_0_150
% 42.62/12.75  				|
% 42.62/12.75  				| Applying alpha-rule on (206) yields:
% 42.62/12.75  				| (207)  ~ (all_189_0_150 = 0)
% 42.62/12.75  				| (208) contains_pq(all_11_0_16, all_0_6_6) = all_189_0_150
% 42.62/12.75  				|
% 42.62/12.75  				| Using (19) and (201) yields:
% 42.62/12.75  				| (168)  ~ (all_0_6_6 = all_0_8_8)
% 42.62/12.75  				|
% 42.62/12.75  				| Instantiating formula (86) with all_0_4_4, all_0_5_5, all_0_7_7, all_0_6_6, all_0_8_8, all_0_11_11 and discharging atoms contains_slb(all_0_4_4, all_0_6_6) = 0, pair(all_0_8_8, all_0_7_7) = all_0_5_5, insert_slb(all_0_11_11, all_0_5_5) = all_0_4_4, yields:
% 42.62/12.75  				| (210) all_0_6_6 = all_0_8_8 | contains_slb(all_0_11_11, all_0_6_6) = 0
% 42.62/12.75  				|
% 42.62/12.75  				| Instantiating formula (6) with all_189_0_150, all_11_0_16, all_11_1_17, all_0_6_6, all_0_9_9, all_0_10_10 and discharging atoms i(all_11_1_17) = all_11_0_16, triple(all_0_10_10, all_0_11_11, all_0_9_9) = all_11_1_17, contains_pq(all_11_0_16, all_0_6_6) = all_189_0_150, yields:
% 42.62/12.75  				| (211) all_189_0_150 = 0 |  ? [v0] : ( ~ (v0 = 0) & contains_cpq(all_11_1_17, all_0_6_6) = v0)
% 42.62/12.75  				|
% 42.62/12.75  				+-Applying beta-rule and splitting (210), into two cases.
% 42.62/12.75  				|-Branch one:
% 42.62/12.75  				| (184) contains_slb(all_0_11_11, all_0_6_6) = 0
% 42.62/12.75  				|
% 42.62/12.75  					+-Applying beta-rule and splitting (211), into two cases.
% 42.62/12.75  					|-Branch one:
% 42.62/12.75  					| (213) all_189_0_150 = 0
% 42.62/12.75  					|
% 42.62/12.75  						| Equations (213) can reduce 207 to:
% 42.62/12.75  						| (160) $false
% 42.62/12.75  						|
% 42.62/12.75  						|-The branch is then unsatisfiable
% 42.62/12.75  					|-Branch two:
% 42.62/12.75  					| (207)  ~ (all_189_0_150 = 0)
% 42.62/12.75  					| (216)  ? [v0] : ( ~ (v0 = 0) & contains_cpq(all_11_1_17, all_0_6_6) = v0)
% 42.62/12.75  					|
% 42.62/12.75  						| Instantiating (216) with all_523_0_182 yields:
% 42.62/12.75  						| (217)  ~ (all_523_0_182 = 0) & contains_cpq(all_11_1_17, all_0_6_6) = all_523_0_182
% 42.62/12.75  						|
% 42.62/12.75  						| Applying alpha-rule on (217) yields:
% 42.62/12.75  						| (218)  ~ (all_523_0_182 = 0)
% 42.62/12.75  						| (219) contains_cpq(all_11_1_17, all_0_6_6) = all_523_0_182
% 42.62/12.75  						|
% 42.62/12.75  						| Instantiating formula (25) with all_523_0_182, all_11_1_17, all_0_6_6, all_0_9_9, all_0_11_11, all_0_10_10 and discharging atoms contains_cpq(all_11_1_17, all_0_6_6) = all_523_0_182, triple(all_0_10_10, all_0_11_11, all_0_9_9) = all_11_1_17, yields:
% 42.62/12.75  						| (220) all_523_0_182 = 0 |  ? [v0] : ( ~ (v0 = 0) & contains_slb(all_0_11_11, all_0_6_6) = v0)
% 42.62/12.75  						|
% 42.62/12.75  						+-Applying beta-rule and splitting (220), into two cases.
% 42.62/12.75  						|-Branch one:
% 42.62/12.75  						| (221) all_523_0_182 = 0
% 42.62/12.75  						|
% 42.62/12.75  							| Equations (221) can reduce 218 to:
% 42.62/12.75  							| (160) $false
% 42.62/12.75  							|
% 42.62/12.75  							|-The branch is then unsatisfiable
% 42.62/12.75  						|-Branch two:
% 42.62/12.75  						| (218)  ~ (all_523_0_182 = 0)
% 42.62/12.75  						| (179)  ? [v0] : ( ~ (v0 = 0) & contains_slb(all_0_11_11, all_0_6_6) = v0)
% 42.62/12.75  						|
% 42.62/12.75  							| Instantiating (179) with all_1340_0_248 yields:
% 42.62/12.75  							| (225)  ~ (all_1340_0_248 = 0) & contains_slb(all_0_11_11, all_0_6_6) = all_1340_0_248
% 42.62/12.75  							|
% 42.62/12.75  							| Applying alpha-rule on (225) yields:
% 42.62/12.75  							| (226)  ~ (all_1340_0_248 = 0)
% 42.62/12.75  							| (227) contains_slb(all_0_11_11, all_0_6_6) = all_1340_0_248
% 42.62/12.75  							|
% 42.62/12.75  							| Instantiating formula (59) with all_0_11_11, all_0_6_6, all_1340_0_248, 0 and discharging atoms contains_slb(all_0_11_11, all_0_6_6) = all_1340_0_248, contains_slb(all_0_11_11, all_0_6_6) = 0, yields:
% 42.62/12.75  							| (228) all_1340_0_248 = 0
% 42.62/12.75  							|
% 42.62/12.75  							| Equations (228) can reduce 226 to:
% 42.62/12.75  							| (160) $false
% 42.62/12.75  							|
% 42.62/12.75  							|-The branch is then unsatisfiable
% 42.62/12.75  				|-Branch two:
% 42.62/12.75  				| (185)  ~ (contains_slb(all_0_11_11, all_0_6_6) = 0)
% 42.62/12.75  				| (191) all_0_6_6 = all_0_8_8
% 42.62/12.75  				|
% 42.62/12.75  					| Equations (191) can reduce 168 to:
% 42.62/12.75  					| (160) $false
% 42.62/12.75  					|
% 42.62/12.75  					|-The branch is then unsatisfiable
% 42.62/12.75  		|-Branch two:
% 42.62/12.75  		| (233) contains_pq(all_0_1_1, all_0_8_8) = all_0_0_0
% 42.62/12.75  		| (156) all_0_0_0 = 0
% 42.62/12.75  		|
% 42.62/12.75  			| Equations (156) can reduce 198 to:
% 42.62/12.75  			| (160) $false
% 42.62/12.75  			|
% 42.62/12.75  			|-The branch is then unsatisfiable
% 42.62/12.75  	|-Branch two:
% 42.62/12.75  	| (236)  ~ (contains_slb(all_0_4_4, all_0_6_6) = 0)
% 42.62/12.75  	| (237)  ~ (contains_cpq(all_0_3_3, all_0_6_6) = 0)
% 42.62/12.75  	|
% 42.62/12.75  		| Using (199) and (237) yields:
% 42.62/12.75  		| (170) $false
% 42.62/12.75  		|
% 42.62/12.75  		|-The branch is then unsatisfiable
% 42.62/12.75  % SZS output end Proof for theBenchmark
% 42.62/12.75  
% 42.62/12.75  12158ms
%------------------------------------------------------------------------------