TSTP Solution File: CSR023+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR023+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.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 02:50:15 EDT 2022
% Result : Theorem 5.51s 1.83s
% Output : Proof 7.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CSR023+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.32 % Computer : n023.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jun 9 19:39:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.50/0.58 ____ _
% 0.50/0.58 ___ / __ \_____(_)___ ________ __________
% 0.50/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.50/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.50/0.58
% 0.50/0.58 A Theorem Prover for First-Order Logic
% 0.50/0.58 (ePrincess v.1.0)
% 0.50/0.58
% 0.50/0.58 (c) Philipp Rümmer, 2009-2015
% 0.50/0.58 (c) Peter Backeman, 2014-2015
% 0.50/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.58 Bug reports to peter@backeman.se
% 0.50/0.58
% 0.50/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.58
% 0.50/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.50/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.81/0.99 Prover 0: Preprocessing ...
% 4.42/1.58 Prover 0: Warning: ignoring some quantifiers
% 4.42/1.61 Prover 0: Constructing countermodel ...
% 5.51/1.82 Prover 0: proved (1197ms)
% 5.51/1.83
% 5.51/1.83 No countermodel exists, formula is valid
% 5.51/1.83 % SZS status Theorem for theBenchmark
% 5.51/1.83
% 5.51/1.83 Generating proof ... Warning: ignoring some quantifiers
% 7.64/2.31 found it (size 5)
% 7.64/2.31
% 7.64/2.31 % SZS output start Proof for theBenchmark
% 7.64/2.31 Assumed formulas after preprocessing and simplification:
% 7.64/2.31 | (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 & happens(pull, n2) & happens(pull, n1) & happens(push, n2) & happens(push, n0) & ~ holdsAt(spinning, n3) & ~ 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))
% 7.79/2.38 | Applying alpha-rule on (0) yields:
% 7.79/2.38 | (1) ! [v0] : ( ~ less(v0, n8) | less_or_equal(v0, n7))
% 7.79/2.38 | (2) ! [v0] : ( ~ less_or_equal(v0, n7) | less(v0, n8))
% 7.79/2.38 | (3) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.38 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.38 | (5) ! [v0] : ( ~ happens(push, v0) | terminates(pull, backwards, v0))
% 7.79/2.38 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ releasedAt(v0, v2) | releasedAt(v0, v1) | ? [v3] : (releases(v3, v0, v1) & happens(v3, v1)))
% 7.79/2.38 | (7) ? [v0] : (terminates(push, backwards, v0) | happens(pull, v0))
% 7.79/2.38 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2))
% 7.79/2.38 | (9) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.38 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.38 | (11) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v0, v1) = v2) | plus(v1, v0) = v2)
% 7.79/2.38 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, v0) = v2) | plus(v0, v1) = v2)
% 7.79/2.38 | (13) happens(push, n2)
% 7.79/2.38 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.79/2.38 | (15) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.38 | (16) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.38 | (17) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.38 | (18) ! [v0] : ! [v1] : ( ~ less(v0, v1) | less_or_equal(v0, v1))
% 7.79/2.38 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.38 | (20) plus(n0, n3) = n3
% 7.79/2.38 | (21) ? [v0] : (terminates(pull, spinning, v0) | happens(push, v0))
% 7.79/2.38 | (22) ! [v0] : ( ~ less(v0, n4) | less_or_equal(v0, n3))
% 7.79/2.39 | (23) ! [v0] : ( ~ less_or_equal(v0, n3) | less(v0, n4))
% 7.79/2.39 | (24) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.39 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.39 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.39 | (27) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.39 | (28) ~ (pull = push)
% 7.79/2.39 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.39 | (30) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.39 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.39 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 7.79/2.39 | (33) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2))
% 7.79/2.39 | (34) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.39 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.39 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.39 | (37) ! [v0] : ! [v1] : ~ releasedAt(v0, v1)
% 7.79/2.39 | (38) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2))
% 7.79/2.39 | (39) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.39 | (40) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v1) | releasedAt(v0, v2) | holdsAt(v0, v2) | ? [v3] : (terminates(v3, v0, v1) & happens(v3, v1)))
% 7.79/2.39 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.39 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.39 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.39 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.39 | (45) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.39 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.39 | (47) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2) | happens(push, v2))
% 7.79/2.39 | (48) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.39 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.79/2.39 | (50) happens(pull, n2)
% 7.79/2.39 | (51) ~ holdsAt(spinning, n0)
% 7.79/2.39 | (52) plus(n1, n2) = n3
% 7.79/2.39 | (53) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.79/2.39 | (54) ~ (spinning = backwards)
% 7.79/2.39 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.39 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | happens(push, v2))
% 7.79/2.39 | (57) ? [v0] : (terminates(push, spinning, v0) | happens(pull, v0))
% 7.79/2.39 | (58) ! [v0] : ! [v1] : ! [v2] : ( ~ startedIn(v0, v2, v1) | ? [v3] : ? [v4] : (initiates(v3, v2, v4) & less(v4, v1) & less(v0, v4) & happens(v3, v4)))
% 7.79/2.40 | (59) ! [v0] : ( ~ happens(push, v0) | initiates(pull, spinning, v0))
% 7.79/2.40 | (60) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ initiates(v0, v1, v2))
% 7.79/2.40 | (61) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.40 | (62) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = pull | ~ happens(v0, v1))
% 7.79/2.40 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.40 | (64) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.40 | (65) ! [v0] : ( ~ less(v0, n3) | less_or_equal(v0, n2))
% 7.79/2.40 | (66) ! [v0] : ( ~ less_or_equal(v0, n2) | less(v0, n3))
% 7.79/2.40 | (67) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.40 | (68) ! [v0] : ! [v1] : (v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.79/2.40 | (69) ! [v0] : ! [v1] : (v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.79/2.40 | (70) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.40 | (71) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.40 | (72) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.40 | (73) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ holdsAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1))
% 7.79/2.40 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.40 | (75) ! [v0] : ( ~ happens(push, v0) | terminates(pull, forwards, v0))
% 7.79/2.40 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.40 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.40 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2))
% 7.79/2.40 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.40 | (80) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.40 | (81) ? [v0] : (initiates(push, forwards, v0) | happens(pull, v0))
% 7.79/2.40 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.40 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.40 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = push | ~ initiates(v0, v1, v2))
% 7.79/2.40 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.40 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.40 | (87) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.40 | (88) ! [v0] : ! [v1] : (v1 = n2 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.79/2.40 | (89) plus(n0, n2) = n2
% 7.79/2.40 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.40 | (91) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.40 | (92) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releases(v0, v2, v1) | ~ happens(v0, v1) | releasedAt(v2, v3))
% 7.79/2.40 | (93) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.40 | (94) plus(n1, n3) = n4
% 7.79/2.40 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.41 | (96) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.41 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.41 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.41 | (99) ! [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))
% 7.79/2.41 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2))
% 7.79/2.41 | (101) ~ (spinning = forwards)
% 7.79/2.41 | (102) ? [v0] : ? [v1] : (v1 = v0 | less(v1, v0) | less(v0, v1))
% 7.79/2.41 | (103) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.41 | (104) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.41 | (105) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.41 | (106) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.41 | (107) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.41 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1))
% 7.79/2.41 | (109) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.41 | (110) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.41 | (111) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.41 | (112) plus(n2, n2) = n4
% 7.79/2.41 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.41 | (114) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.41 | (115) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.41 | (116) ! [v0] : ! [v1] : ! [v2] : ~ releases(v0, v1, v2)
% 7.79/2.41 | (117) ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | ~ happens(v0, v1))
% 7.79/2.41 | (118) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.41 | (119) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.41 | (120) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.79/2.41 | (121) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.41 | (122) ? [v0] : less_or_equal(v0, v0)
% 7.79/2.41 | (123) ? [v0] : (initiates(pull, backwards, v0) | happens(push, v0))
% 7.79/2.41 | (124) ~ holdsAt(backwards, n0)
% 7.79/2.41 | (125) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.41 | (126) ! [v0] : ! [v1] : ( ~ less(v1, v0) | ~ less(v0, v1))
% 7.79/2.41 | (127) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.41 | (128) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.41 | (129) ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.79/2.41 | (130) ! [v0] : ( ~ less(v0, n1) | less_or_equal(v0, n0))
% 7.79/2.41 | (131) ! [v0] : ( ~ less_or_equal(v0, n0) | less(v0, n1))
% 7.79/2.41 | (132) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.41 | (133) ! [v0] : ( ~ less(v0, n6) | less_or_equal(v0, n5))
% 7.79/2.41 | (134) ! [v0] : ( ~ less_or_equal(v0, n5) | less(v0, n6))
% 7.79/2.41 | (135) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.41 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ initiates(v3, v2, v4) | ~ less(v4, v1) | ~ less(v0, v4) | ~ happens(v3, v4) | startedIn(v0, v2, v1))
% 7.79/2.41 | (137) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.41 | (138) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.41 | (139) happens(push, n0)
% 7.79/2.41 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.41 | (141) plus(n1, n1) = n2
% 7.79/2.41 | (142) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ initiates(v0, v1, v2))
% 7.79/2.41 | (143) plus(n0, n1) = n1
% 7.79/2.42 | (144) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = push | ~ happens(v0, v1))
% 7.79/2.42 | (145) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2))
% 7.79/2.42 | (146) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.42 | (147) ~ holdsAt(forwards, n0)
% 7.79/2.42 | (148) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.42 | (149) ~ holdsAt(spinning, n3)
% 7.79/2.42 | (150) ! [v0] : ~ less(v0, n0)
% 7.79/2.42 | (151) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.42 | (152) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.79/2.42 | (153) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.42 | (154) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.42 | (155) ! [v0] : ( ~ less(v0, n7) | less_or_equal(v0, n6))
% 7.79/2.42 | (156) ! [v0] : ( ~ less_or_equal(v0, n6) | less(v0, n7))
% 7.79/2.42 | (157) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.42 | (158) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.42 | (159) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.42 | (160) ! [v0] : ! [v1] : (v1 = n1 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.79/2.42 | (161) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.42 | (162) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2))
% 7.79/2.42 | (163) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.42 | (164) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.42 | (165) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.42 | (166) ? [v0] : (terminates(pull, forwards, v0) | happens(push, v0))
% 7.79/2.42 | (167) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.42 | (168) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.42 | (169) ! [v0] : ~ less(v0, v0)
% 7.79/2.42 | (170) ! [v0] : ( ~ less(v0, n2) | less_or_equal(v0, n1))
% 7.79/2.42 | (171) ! [v0] : ( ~ less_or_equal(v0, n1) | less(v0, n2))
% 7.79/2.42 | (172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1))
% 7.79/2.42 | (173) ! [v0] : ( ~ less(v0, n9) | less_or_equal(v0, n8))
% 7.79/2.42 | (174) ! [v0] : ( ~ less_or_equal(v0, n8) | less(v0, n9))
% 7.79/2.42 | (175) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = push | ~ happens(v0, v1))
% 7.79/2.42 | (176) ! [v0] : ( ~ less(v0, n5) | less_or_equal(v0, n4))
% 7.79/2.42 | (177) ! [v0] : ( ~ less_or_equal(v0, n4) | less(v0, n5))
% 7.79/2.42 | (178) ! [v0] : ! [v1] : ! [v2] : ( ~ stoppedIn(v0, v1, v2) | ? [v3] : ? [v4] : (terminates(v3, v1, v4) & less(v4, v2) & less(v0, v4) & happens(v3, v4)))
% 7.79/2.42 | (179) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1) | holdsAt(v2, v3))
% 7.79/2.42 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ terminates(v3, v1, v4) | ~ less(v4, v2) | ~ less(v0, v4) | ~ happens(v3, v4) | stoppedIn(v0, v1, v2))
% 7.79/2.42 | (181) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2))
% 7.79/2.42 | (182) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.42 | (183) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.79/2.42 | (184) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2))
% 7.79/2.42 | (185) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2))
% 7.79/2.42 | (186) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.79/2.42 | (187) ! [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))
% 7.79/2.42 | (188) plus(n2, n3) = n5
% 7.79/2.42 | (189) ! [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))))
% 7.79/2.42 | (190) happens(pull, n1)
% 7.79/2.42 | (191) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 7.79/2.42 | (192) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.79/2.42 | (193) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 7.79/2.42 | (194) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.42 | (195) plus(n0, n0) = n0
% 7.79/2.42 | (196) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v2) | releasedAt(v0, v2) | holdsAt(v0, v1) | ? [v3] : (initiates(v3, v0, v1) & happens(v3, v1)))
% 7.79/2.42 | (197) ! [v0] : ! [v1] : (v1 = v0 | ~ less_or_equal(v0, v1) | less(v0, v1))
% 7.79/2.42 | (198) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | ~ happens(v0, v1))
% 7.79/2.42 | (199) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2))
% 7.79/2.42 | (200) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 7.79/2.42 | (201) ! [v0] : ! [v1] : (v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 7.79/2.42 | (202) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 7.79/2.42 | (203) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 7.79/2.42 | (204) plus(n3, n3) = n6
% 7.79/2.43 | (205) ~ (backwards = forwards)
% 7.79/2.43 | (206) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 7.79/2.43 |
% 7.79/2.43 | Instantiating formula (12) with n3, n1, n2 and discharging atoms plus(n1, n2) = n3, yields:
% 7.79/2.43 | (207) plus(n2, n1) = n3
% 7.79/2.43 |
% 7.79/2.43 | Instantiating formula (59) with n2 and discharging atoms happens(push, n2), yields:
% 7.79/2.43 | (208) initiates(pull, spinning, n2)
% 7.79/2.43 |
% 7.79/2.43 | Instantiating formula (179) with n3, spinning, n2, pull and discharging atoms plus(n2, n1) = n3, initiates(pull, spinning, n2), happens(pull, n2), ~ holdsAt(spinning, n3), yields:
% 7.79/2.43 | (209) $false
% 7.79/2.43 |
% 7.79/2.43 |-The branch is then unsatisfiable
% 7.79/2.43 % SZS output end Proof for theBenchmark
% 7.79/2.43
% 7.79/2.43 1839ms
%------------------------------------------------------------------------------