TSTP Solution File: CSR022+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR022+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.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 : Fri Jul 15 02:50:14 EDT 2022
% Result : Theorem 5.21s 1.75s
% Output : Proof 8.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR022+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 11 01:52:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.57 ____ _
% 0.19/0.57 ___ / __ \_____(_)___ ________ __________
% 0.19/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.57
% 0.19/0.57 A Theorem Prover for First-Order Logic
% 0.19/0.57 (ePrincess v.1.0)
% 0.19/0.57
% 0.19/0.57 (c) Philipp Rümmer, 2009-2015
% 0.19/0.57 (c) Peter Backeman, 2014-2015
% 0.19/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.57 Bug reports to peter@backeman.se
% 0.19/0.57
% 0.19/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.57
% 0.19/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.69/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.96/0.95 Prover 0: Preprocessing ...
% 4.42/1.53 Prover 0: Warning: ignoring some quantifiers
% 4.57/1.56 Prover 0: Constructing countermodel ...
% 5.21/1.75 Prover 0: proved (1135ms)
% 5.21/1.75
% 5.21/1.75 No countermodel exists, formula is valid
% 5.21/1.75 % SZS status Theorem for theBenchmark
% 5.21/1.75
% 5.21/1.75 Generating proof ... Warning: ignoring some quantifiers
% 7.57/2.25 found it (size 5)
% 7.57/2.25
% 7.57/2.25 % SZS output start Proof for theBenchmark
% 7.57/2.25 Assumed formulas after preprocessing and simplification:
% 7.57/2.25 | (0) ~ (spinning = backwards) & ~ (spinning = forwards) & ~ (backwards = forwards) & ~ (pull = push) & plus(n3, n3) = n6 & plus(n2, n3) = n5 & plus(n2, n2) = n4 & plus(n1, n3) = n4 & plus(n1, n2) = n3 & plus(n1, n1) = n2 & plus(n0, n3) = n3 & plus(n0, n2) = n2 & plus(n0, n1) = n1 & plus(n0, n0) = n0 & holdsAt(forwards, n3) & happens(pull, n2) & happens(pull, n1) & happens(push, n2) & happens(push, n0) & ~ holdsAt(spinning, n0) & ~ holdsAt(backwards, n0) & ~ holdsAt(forwards, n0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (plus(v1, v4) = v5) | ~ trajectory(v2, v1, v3, v4) | ~ initiates(v0, v2, v1) | ~ less(n0, v4) | ~ happens(v0, v1) | holdsAt(v3, v5) | stoppedIn(v1, v2, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (plus(v1, v3) = v5) | ~ antitrajectory(v2, v1, v4, v3) | ~ terminates(v0, v2, v1) | ~ less(n0, v3) | ~ happens(v0, v1) | holdsAt(v4, v5) | startedIn(v1, v2, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ initiates(v3, v2, v4) | ~ less(v4, v1) | ~ less(v0, v4) | ~ happens(v3, v4) | startedIn(v0, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ terminates(v3, v1, v4) | ~ less(v4, v2) | ~ less(v0, v4) | ~ happens(v3, v4) | stoppedIn(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releases(v0, v2, v1) | ~ happens(v0, v1) | releasedAt(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ holdsAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1) | holdsAt(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = push | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, v0) = v2) | plus(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ releasedAt(v0, v2) | releasedAt(v0, v1) | ? [v3] : (releases(v3, v0, v1) & happens(v3, v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ releasedAt(v0, v1) | releasedAt(v0, v2) | ? [v3] : (happens(v3, v1) & (initiates(v3, v0, v1) | terminates(v3, v0, v1)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v2) | releasedAt(v0, v2) | holdsAt(v0, v1) | ? [v3] : (initiates(v3, v0, v1) & happens(v3, v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v1) | releasedAt(v0, v2) | holdsAt(v0, v2) | ? [v3] : (terminates(v3, v0, v1) & happens(v3, v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v0, v1) = v2) | plus(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ~ releases(v0, v1, v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ startedIn(v0, v2, v1) | ? [v3] : ? [v4] : (initiates(v3, v2, v4) & less(v4, v1) & less(v0, v4) & happens(v3, v4))) & ! [v0] : ! [v1] : ! [v2] : ( ~ stoppedIn(v0, v1, v2) | ? [v3] : ? [v4] : (terminates(v3, v1, v4) & less(v4, v2) & less(v0, v4) & happens(v3, v4))) & ! [v0] : ! [v1] : (v1 = v0 | ~ less_or_equal(v0, v1) | less(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = pull | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n1 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : ~ releasedAt(v0, v1) & ! [v0] : ! [v1] : ( ~ less(v1, v0) | ~ less(v0, v1)) & ! [v0] : ! [v1] : ( ~ less(v0, v1) | less_or_equal(v0, v1)) & ! [v0] : ( ~ less_or_equal(v0, n8) | less(v0, n9)) & ! [v0] : ( ~ less_or_equal(v0, n7) | less(v0, n8)) & ! [v0] : ( ~ less_or_equal(v0, n6) | less(v0, n7)) & ! [v0] : ( ~ less_or_equal(v0, n5) | less(v0, n6)) & ! [v0] : ( ~ less_or_equal(v0, n4) | less(v0, n5)) & ! [v0] : ( ~ less_or_equal(v0, n3) | less(v0, n4)) & ! [v0] : ( ~ less_or_equal(v0, n2) | less(v0, n3)) & ! [v0] : ( ~ less_or_equal(v0, n1) | less(v0, n2)) & ! [v0] : ( ~ less_or_equal(v0, n0) | less(v0, n1)) & ! [v0] : ~ less(v0, v0) & ! [v0] : ( ~ less(v0, n9) | less_or_equal(v0, n8)) & ! [v0] : ( ~ less(v0, n8) | less_or_equal(v0, n7)) & ! [v0] : ( ~ less(v0, n7) | less_or_equal(v0, n6)) & ! [v0] : ( ~ less(v0, n6) | less_or_equal(v0, n5)) & ! [v0] : ( ~ less(v0, n5) | less_or_equal(v0, n4)) & ! [v0] : ( ~ less(v0, n4) | less_or_equal(v0, n3)) & ! [v0] : ( ~ less(v0, n3) | less_or_equal(v0, n2)) & ! [v0] : ( ~ less(v0, n2) | less_or_equal(v0, n1)) & ! [v0] : ( ~ less(v0, n1) | less_or_equal(v0, n0)) & ! [v0] : ~ less(v0, n0) & ! [v0] : ( ~ happens(push, v0) | initiates(pull, spinning, v0)) & ! [v0] : ( ~ happens(push, v0) | terminates(pull, backwards, v0)) & ! [v0] : ( ~ happens(push, v0) | terminates(pull, forwards, v0)) & ? [v0] : ? [v1] : (v1 = v0 | less(v1, v0) | less(v0, v1)) & ? [v0] : less_or_equal(v0, v0) & ? [v0] : (initiates(pull, backwards, v0) | happens(push, v0)) & ? [v0] : (initiates(push, forwards, v0) | happens(pull, v0)) & ? [v0] : (terminates(pull, spinning, v0) | happens(push, v0)) & ? [v0] : (terminates(pull, forwards, v0) | happens(push, v0)) & ? [v0] : (terminates(push, spinning, v0) | happens(pull, v0)) & ? [v0] : (terminates(push, backwards, v0) | happens(pull, v0))
% 7.88/2.32 | Applying alpha-rule on (0) yields:
% 7.88/2.32 | (1) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2))
% 7.88/2.32 | (2) ? [v0] : (terminates(pull, spinning, v0) | happens(push, v0))
% 7.88/2.32 | (3) ! [v0] : ! [v1] : (v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.88/2.32 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.32 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.88/2.32 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2) | happens(push, v2))
% 7.88/2.32 | (7) happens(push, n2)
% 7.88/2.32 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2))
% 7.88/2.32 | (9) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.88/2.32 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.32 | (11) ! [v0] : ! [v1] : (v1 = v0 | ~ less_or_equal(v0, v1) | less(v0, v1))
% 7.88/2.32 | (12) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.32 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.32 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.32 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (plus(v1, v3) = v5) | ~ antitrajectory(v2, v1, v4, v3) | ~ terminates(v0, v2, v1) | ~ less(n0, v3) | ~ happens(v0, v1) | holdsAt(v4, v5) | startedIn(v1, v2, v5))
% 7.88/2.32 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 7.88/2.32 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2))
% 7.88/2.32 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ stoppedIn(v0, v1, v2) | ? [v3] : ? [v4] : (terminates(v3, v1, v4) & less(v4, v2) & less(v0, v4) & happens(v3, v4)))
% 7.88/2.32 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ initiates(v3, v2, v4) | ~ less(v4, v1) | ~ less(v0, v4) | ~ happens(v3, v4) | startedIn(v0, v2, v1))
% 7.88/2.32 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.33 | (21) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.33 | (22) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.33 | (23) ! [v0] : ( ~ less(v0, n8) | less_or_equal(v0, n7))
% 7.88/2.33 | (24) ! [v0] : ( ~ less_or_equal(v0, n7) | less(v0, n8))
% 7.88/2.33 | (25) happens(pull, n2)
% 7.88/2.33 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.88/2.33 | (27) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.33 | (28) ! [v0] : ! [v1] : ! [v2] : ( ~ startedIn(v0, v2, v1) | ? [v3] : ? [v4] : (initiates(v3, v2, v4) & less(v4, v1) & less(v0, v4) & happens(v3, v4)))
% 7.88/2.33 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.33 | (30) ! [v0] : ! [v1] : ( ~ less(v0, v1) | less_or_equal(v0, v1))
% 7.88/2.33 | (31) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.33 | (32) ! [v0] : ( ~ less(v0, n9) | less_or_equal(v0, n8))
% 7.88/2.33 | (33) ! [v0] : ( ~ less_or_equal(v0, n8) | less(v0, n9))
% 7.88/2.33 | (34) ~ holdsAt(forwards, n0)
% 7.88/2.33 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.33 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.88/2.33 | (37) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.88/2.33 | (38) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.33 | (39) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.33 | (40) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.33 | (41) plus(n0, n0) = n0
% 7.88/2.33 | (42) plus(n3, n3) = n6
% 7.88/2.33 | (43) ? [v0] : ? [v1] : (v1 = v0 | less(v1, v0) | less(v0, v1))
% 7.88/2.33 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.33 | (45) ! [v0] : ( ~ less(v0, n5) | less_or_equal(v0, n4))
% 7.88/2.33 | (46) ! [v0] : ( ~ less_or_equal(v0, n4) | less(v0, n5))
% 7.88/2.33 | (47) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.33 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1) | holdsAt(v2, v3))
% 7.88/2.33 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.33 | (50) happens(pull, n1)
% 7.88/2.33 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.33 | (52) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.33 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v1) | releasedAt(v0, v2) | holdsAt(v0, v2) | ? [v3] : (terminates(v3, v0, v1) & happens(v3, v1)))
% 7.88/2.33 | (54) ! [v0] : ! [v1] : (v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.88/2.33 | (55) plus(n1, n2) = n3
% 7.88/2.33 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.33 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2))
% 7.88/2.34 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | happens(push, v2))
% 7.88/2.34 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.34 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.34 | (61) ~ (spinning = backwards)
% 7.88/2.34 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.34 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.34 | (64) ? [v0] : (terminates(push, backwards, v0) | happens(pull, v0))
% 7.88/2.34 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ holdsAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1))
% 7.88/2.34 | (66) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2))
% 7.88/2.34 | (67) ! [v0] : ! [v1] : (v1 = n2 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.88/2.34 | (68) ! [v0] : ( ~ less(v0, n4) | less_or_equal(v0, n3))
% 7.88/2.34 | (69) ! [v0] : ( ~ less_or_equal(v0, n3) | less(v0, n4))
% 7.88/2.34 | (70) ? [v0] : (initiates(pull, backwards, v0) | happens(push, v0))
% 7.88/2.34 | (71) happens(push, n0)
% 7.88/2.34 | (72) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.88/2.34 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.34 | (74) ? [v0] : (terminates(push, spinning, v0) | happens(pull, v0))
% 7.88/2.34 | (75) ? [v0] : (initiates(push, forwards, v0) | happens(pull, v0))
% 7.88/2.34 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.34 | (77) ! [v0] : ! [v1] : ( ~ less(v1, v0) | ~ less(v0, v1))
% 7.88/2.34 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.34 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2))
% 7.88/2.34 | (80) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.34 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.34 | (82) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1))
% 7.88/2.34 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.34 | (84) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ releasedAt(v0, v2) | releasedAt(v0, v1) | ? [v3] : (releases(v3, v0, v1) & happens(v3, v1)))
% 7.88/2.34 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.34 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.34 | (87) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.34 | (88) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.34 | (89) ! [v0] : ( ~ less(v0, n1) | less_or_equal(v0, n0))
% 7.88/2.34 | (90) ! [v0] : ( ~ less_or_equal(v0, n0) | less(v0, n1))
% 7.88/2.34 | (91) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.34 | (92) ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.88/2.34 | (93) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.34 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.34 | (95) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | ~ happens(v0, v1))
% 7.88/2.34 | (96) ! [v0] : ! [v1] : (v1 = n1 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.88/2.35 | (97) ! [v0] : ! [v1] : ! [v2] : ~ releases(v0, v1, v2)
% 7.88/2.35 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.35 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.35 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.35 | (101) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.35 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.35 | (103) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.35 | (104) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.35 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ terminates(v3, v1, v4) | ~ less(v4, v2) | ~ less(v0, v4) | ~ happens(v3, v4) | stoppedIn(v0, v1, v2))
% 7.88/2.35 | (106) ~ (backwards = forwards)
% 7.88/2.35 | (107) plus(n1, n1) = n2
% 7.88/2.35 | (108) ! [v0] : ! [v1] : (v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.88/2.35 | (109) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2))
% 7.88/2.35 | (110) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.35 | (111) ! [v0] : ( ~ less(v0, n7) | less_or_equal(v0, n6))
% 7.88/2.35 | (112) ! [v0] : ( ~ less_or_equal(v0, n6) | less(v0, n7))
% 7.88/2.35 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.35 | (114) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2))
% 7.88/2.35 | (115) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.35 | (116) plus(n0, n3) = n3
% 7.88/2.35 | (117) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.35 | (118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1))
% 7.88/2.35 | (119) plus(n2, n2) = n4
% 7.88/2.35 | (120) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.35 | (121) ! [v0] : ( ~ happens(push, v0) | terminates(pull, forwards, v0))
% 7.88/2.35 | (122) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ initiates(v0, v1, v2))
% 7.88/2.35 | (123) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.35 | (124) ? [v0] : (terminates(pull, forwards, v0) | happens(push, v0))
% 7.88/2.35 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.35 | (126) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.35 | (127) ! [v0] : ( ~ less(v0, n6) | less_or_equal(v0, n5))
% 7.88/2.35 | (128) ! [v0] : ( ~ less_or_equal(v0, n5) | less(v0, n6))
% 7.88/2.35 | (129) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.35 | (130) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.35 | (131) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.35 | (132) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.35 | (133) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.35 | (134) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.36 | (135) ! [v0] : ! [v1] : ~ releasedAt(v0, v1)
% 7.88/2.36 | (136) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.88/2.36 | (137) plus(n2, n3) = n5
% 7.88/2.36 | (138) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.36 | (139) ! [v0] : ~ less(v0, n0)
% 7.88/2.36 | (140) ~ holdsAt(spinning, n0)
% 7.88/2.36 | (141) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.88/2.36 | (142) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2))
% 7.88/2.36 | (143) ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | ~ happens(v0, v1))
% 7.88/2.36 | (144) plus(n0, n1) = n1
% 7.88/2.36 | (145) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.36 | (146) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.36 | (147) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ initiates(v0, v1, v2))
% 7.88/2.36 | (148) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.36 | (149) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.36 | (150) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.88/2.36 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (plus(v1, v4) = v5) | ~ trajectory(v2, v1, v3, v4) | ~ initiates(v0, v2, v1) | ~ less(n0, v4) | ~ happens(v0, v1) | holdsAt(v3, v5) | stoppedIn(v1, v2, v5))
% 7.88/2.36 | (152) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.36 | (153) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2))
% 7.88/2.36 | (154) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v2) | releasedAt(v0, v2) | holdsAt(v0, v1) | ? [v3] : (initiates(v3, v0, v1) & happens(v3, v1)))
% 7.88/2.36 | (155) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.36 | (156) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.36 | (157) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.36 | (158) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2))
% 7.88/2.36 | (159) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.36 | (160) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.36 | (161) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.36 | (162) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.36 | (163) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = push | ~ initiates(v0, v1, v2))
% 7.88/2.36 | (164) ~ (pull = push)
% 7.88/2.36 | (165) ? [v0] : less_or_equal(v0, v0)
% 7.88/2.36 | (166) plus(n1, n3) = n4
% 7.88/2.36 | (167) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.36 | (168) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.36 | (169) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.36 | (170) ! [v0] : ~ less(v0, v0)
% 7.88/2.36 | (171) ! [v0] : ( ~ less(v0, n3) | less_or_equal(v0, n2))
% 7.88/2.36 | (172) ! [v0] : ( ~ less_or_equal(v0, n2) | less(v0, n3))
% 7.88/2.36 | (173) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.36 | (174) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.36 | (175) holdsAt(forwards, n3)
% 7.88/2.36 | (176) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.88/2.36 | (177) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.36 | (178) ! [v0] : ( ~ less(v0, n2) | less_or_equal(v0, n1))
% 7.88/2.36 | (179) ! [v0] : ( ~ less_or_equal(v0, n1) | less(v0, n2))
% 7.88/2.36 | (180) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.88/2.36 | (181) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.37 | (182) ~ holdsAt(backwards, n0)
% 7.88/2.37 | (183) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.37 | (184) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v0, v1) = v2) | plus(v1, v0) = v2)
% 7.88/2.37 | (185) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, v0) = v2) | plus(v0, v1) = v2)
% 7.88/2.37 | (186) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.37 | (187) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.37 | (188) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.88/2.37 | (189) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.37 | (190) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.88/2.37 | (191) ~ (spinning = forwards)
% 7.88/2.37 | (192) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.88/2.37 | (193) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = pull | ~ happens(v0, v1))
% 7.88/2.37 | (194) ! [v0] : ( ~ happens(push, v0) | terminates(pull, backwards, v0))
% 7.88/2.37 | (195) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = push | ~ happens(v0, v1))
% 7.88/2.37 | (196) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releases(v0, v2, v1) | ~ happens(v0, v1) | releasedAt(v2, v3))
% 7.88/2.37 | (197) plus(n0, n2) = n2
% 8.32/2.37 | (198) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 8.32/2.37 | (199) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 8.32/2.37 | (200) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ releasedAt(v0, v1) | releasedAt(v0, v2) | ? [v3] : (happens(v3, v1) & (initiates(v3, v0, v1) | terminates(v3, v0, v1))))
% 8.32/2.37 | (201) ! [v0] : ( ~ happens(push, v0) | initiates(pull, spinning, v0))
% 8.32/2.37 | (202) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 8.32/2.37 | (203) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 8.32/2.37 | (204) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 8.32/2.37 | (205) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = push | ~ happens(v0, v1))
% 8.32/2.37 | (206) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 8.32/2.37 |
% 8.32/2.37 | Instantiating formula (185) with n3, n1, n2 and discharging atoms plus(n1, n2) = n3, yields:
% 8.32/2.37 | (207) plus(n2, n1) = n3
% 8.32/2.37 |
% 8.32/2.37 | Instantiating formula (121) with n2 and discharging atoms happens(push, n2), yields:
% 8.32/2.37 | (208) terminates(pull, forwards, n2)
% 8.32/2.37 |
% 8.32/2.37 | Instantiating formula (65) with n3, forwards, n2, pull and discharging atoms plus(n2, n1) = n3, holdsAt(forwards, n3), terminates(pull, forwards, n2), happens(pull, n2), yields:
% 8.32/2.37 | (209) $false
% 8.32/2.37 |
% 8.32/2.37 |-The branch is then unsatisfiable
% 8.32/2.37 % SZS output end Proof for theBenchmark
% 8.32/2.37
% 8.32/2.37 1795ms
%------------------------------------------------------------------------------