TSTP Solution File: CSR015+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : CSR015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 02:50:13 EDT 2022
% Result : Theorem 8.26s 2.51s
% Output : Proof 11.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR015+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 17:49:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.66/0.63 ____ _
% 0.66/0.63 ___ / __ \_____(_)___ ________ __________
% 0.66/0.63 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.66/0.63 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.66/0.63 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.66/0.63
% 0.66/0.63 A Theorem Prover for First-Order Logic
% 0.66/0.63 (ePrincess v.1.0)
% 0.66/0.63
% 0.66/0.63 (c) Philipp Rümmer, 2009-2015
% 0.66/0.63 (c) Peter Backeman, 2014-2015
% 0.66/0.63 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.66/0.63 Free software under GNU Lesser General Public License (LGPL).
% 0.66/0.63 Bug reports to peter@backeman.se
% 0.66/0.63
% 0.66/0.63 For more information, visit http://user.uu.se/~petba168/breu/
% 0.66/0.63
% 0.66/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.70/0.70 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.98/1.06 Prover 0: Preprocessing ...
% 4.42/1.64 Prover 0: Warning: ignoring some quantifiers
% 4.42/1.68 Prover 0: Constructing countermodel ...
% 8.26/2.50 Prover 0: proved (1805ms)
% 8.26/2.51
% 8.26/2.51 No countermodel exists, formula is valid
% 8.26/2.51 % SZS status Theorem for theBenchmark
% 8.26/2.51
% 8.26/2.51 Generating proof ... Warning: ignoring some quantifiers
% 10.32/3.01 found it (size 18)
% 10.32/3.01
% 10.32/3.01 % SZS output start Proof for theBenchmark
% 10.32/3.01 Assumed formulas after preprocessing and simplification:
% 10.32/3.01 | (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(backwards, n1) & 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))
% 10.76/3.08 | Applying alpha-rule on (0) yields:
% 10.76/3.08 | (1) plus(n0, n0) = n0
% 10.76/3.08 | (2) ! [v0] : ( ~ less(v0, n8) | less_or_equal(v0, n7))
% 10.76/3.08 | (3) ! [v0] : ( ~ less_or_equal(v0, n7) | less(v0, n8))
% 10.76/3.08 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.76/3.08 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.76/3.08 | (6) ! [v0] : ( ~ happens(push, v0) | terminates(pull, backwards, v0))
% 10.76/3.08 | (7) ? [v0] : (terminates(push, backwards, v0) | happens(pull, v0))
% 10.76/3.09 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2))
% 10.76/3.09 | (9) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 10.76/3.09 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.76/3.09 | (11) plus(n2, n2) = n4
% 10.76/3.09 | (12) happens(push, n2)
% 10.76/3.09 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 10.76/3.09 | (14) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.76/3.09 | (15) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.76/3.09 | (16) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.76/3.09 | (17) ! [v0] : ! [v1] : ( ~ less(v0, v1) | less_or_equal(v0, v1))
% 10.76/3.09 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v0, v1) = v2) | plus(v1, v0) = v2)
% 10.76/3.09 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, v0) = v2) | plus(v0, v1) = v2)
% 10.76/3.09 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.76/3.09 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ releasedAt(v0, v2) | releasedAt(v0, v1) | ? [v3] : (releases(v3, v0, v1) & happens(v3, v1)))
% 10.76/3.09 | (22) ? [v0] : (terminates(pull, spinning, v0) | happens(push, v0))
% 10.76/3.09 | (23) ! [v0] : ( ~ less(v0, n4) | less_or_equal(v0, n3))
% 10.76/3.09 | (24) ! [v0] : ( ~ less_or_equal(v0, n3) | less(v0, n4))
% 10.76/3.09 | (25) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.76/3.09 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.76/3.09 | (27) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 10.76/3.09 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ holdsAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1))
% 10.76/3.09 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.76/3.09 | (30) ~ (pull = push)
% 10.76/3.09 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.76/3.09 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.76/3.09 | (33) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.76/3.09 | (34) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2))
% 10.76/3.09 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.76/3.09 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.76/3.09 | (37) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.76/3.09 | (38) ! [v0] : ! [v1] : ~ releasedAt(v0, v1)
% 10.76/3.09 | (39) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2))
% 10.76/3.09 | (40) ! [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))
% 10.93/3.09 | (41) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.09 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.09 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.93/3.09 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.09 | (45) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.10 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.10 | (47) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releases(v0, v2, v1) | ~ happens(v0, v1) | releasedAt(v2, v3))
% 10.93/3.10 | (48) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.10 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2) | happens(push, v2))
% 10.93/3.10 | (50) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.10 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 10.93/3.10 | (52) happens(pull, n2)
% 10.93/3.10 | (53) ~ holdsAt(spinning, n0)
% 10.93/3.10 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 10.93/3.10 | (55) ~ (spinning = backwards)
% 10.93/3.10 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.10 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | happens(push, v2))
% 10.93/3.10 | (58) ? [v0] : (terminates(push, spinning, v0) | happens(pull, v0))
% 10.93/3.10 | (59) ! [v0] : ! [v1] : ! [v2] : ( ~ startedIn(v0, v2, v1) | ? [v3] : ? [v4] : (initiates(v3, v2, v4) & less(v4, v1) & less(v0, v4) & happens(v3, v4)))
% 10.93/3.10 | (60) ! [v0] : ( ~ happens(push, v0) | initiates(pull, spinning, v0))
% 10.93/3.10 | (61) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ initiates(v0, v1, v2))
% 10.93/3.10 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.10 | (63) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = pull | ~ happens(v0, v1))
% 10.93/3.10 | (64) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.10 | (65) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.10 | (66) ! [v0] : ( ~ less(v0, n3) | less_or_equal(v0, n2))
% 10.93/3.10 | (67) ! [v0] : ( ~ less_or_equal(v0, n2) | less(v0, n3))
% 10.93/3.10 | (68) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.10 | (69) ! [v0] : ! [v1] : (v0 = pull | v0 = push | ~ happens(v0, v1))
% 10.93/3.10 | (70) ! [v0] : ! [v1] : (v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 10.93/3.10 | (71) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.10 | (72) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.10 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.10 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.10 | (75) ! [v0] : ( ~ happens(push, v0) | terminates(pull, forwards, v0))
% 10.93/3.10 | (76) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.10 | (77) ! [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))
% 10.93/3.10 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.10 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2))
% 10.93/3.10 | (80) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.10 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.11 | (82) ? [v0] : (initiates(push, forwards, v0) | happens(pull, v0))
% 10.93/3.11 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.11 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.11 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = push | ~ initiates(v0, v1, v2))
% 10.93/3.11 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.11 | (87) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.11 | (88) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.93/3.11 | (89) ! [v0] : ! [v1] : (v1 = n2 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 10.93/3.11 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.11 | (91) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.11 | (92) ! [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))))
% 10.93/3.11 | (93) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.11 | (94) holdsAt(backwards, n1)
% 10.93/3.11 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.11 | (96) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.93/3.11 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.11 | (98) plus(n3, n3) = n6
% 10.93/3.11 | (99) plus(n0, n1) = n1
% 10.93/3.11 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.93/3.11 | (101) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2))
% 10.93/3.11 | (102) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v1) | releasedAt(v0, v2) | holdsAt(v0, v2) | ? [v3] : (terminates(v3, v0, v1) & happens(v3, v1)))
% 10.93/3.11 | (103) ~ (spinning = forwards)
% 10.93/3.11 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1) | holdsAt(v2, v3))
% 10.93/3.11 | (105) ? [v0] : ? [v1] : (v1 = v0 | less(v1, v0) | less(v0, v1))
% 10.93/3.11 | (106) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.11 | (107) plus(n1, n1) = n2
% 10.93/3.11 | (108) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.11 | (109) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.11 | (110) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v2) | releasedAt(v0, v2) | holdsAt(v0, v1) | ? [v3] : (initiates(v3, v0, v1) & happens(v3, v1)))
% 10.93/3.11 | (111) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.93/3.11 | (112) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.11 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.93/3.11 | (114) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.11 | (115) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.11 | (116) plus(n1, n2) = n3
% 10.93/3.11 | (117) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.11 | (118) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.12 | (119) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.93/3.12 | (120) ! [v0] : ! [v1] : ! [v2] : ~ releases(v0, v1, v2)
% 10.93/3.12 | (121) ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | ~ happens(v0, v1))
% 10.93/3.12 | (122) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.12 | (123) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.12 | (124) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 10.93/3.12 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.12 | (126) ? [v0] : less_or_equal(v0, v0)
% 10.93/3.12 | (127) ? [v0] : (initiates(pull, backwards, v0) | happens(push, v0))
% 10.93/3.12 | (128) plus(n2, n3) = n5
% 10.93/3.12 | (129) ~ holdsAt(backwards, n0)
% 10.93/3.12 | (130) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.12 | (131) ! [v0] : ! [v1] : ( ~ less(v1, v0) | ~ less(v0, v1))
% 10.93/3.12 | (132) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.12 | (133) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.12 | (134) ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 10.93/3.12 | (135) ! [v0] : ( ~ less(v0, n1) | less_or_equal(v0, n0))
% 10.93/3.12 | (136) ! [v0] : ( ~ less_or_equal(v0, n0) | less(v0, n1))
% 10.93/3.12 | (137) plus(n1, n3) = n4
% 10.93/3.12 | (138) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.93/3.12 | (139) ! [v0] : ( ~ less(v0, n6) | less_or_equal(v0, n5))
% 10.93/3.12 | (140) ! [v0] : ( ~ less_or_equal(v0, n5) | less(v0, n6))
% 10.93/3.12 | (141) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.12 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ initiates(v3, v2, v4) | ~ less(v4, v1) | ~ less(v0, v4) | ~ happens(v3, v4) | startedIn(v0, v2, v1))
% 10.93/3.12 | (143) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.12 | (144) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.12 | (145) happens(push, n0)
% 10.93/3.12 | (146) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.12 | (147) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ initiates(v0, v1, v2))
% 10.93/3.12 | (148) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = push | ~ happens(v0, v1))
% 10.93/3.12 | (149) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2))
% 10.93/3.12 | (150) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.13 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1))
% 10.93/3.13 | (152) ~ holdsAt(forwards, n0)
% 10.93/3.13 | (153) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.13 | (154) ! [v0] : ~ less(v0, n0)
% 10.93/3.13 | (155) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.13 | (156) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 10.93/3.13 | (157) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.13 | (158) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.13 | (159) ! [v0] : ( ~ less(v0, n7) | less_or_equal(v0, n6))
% 10.93/3.13 | (160) ! [v0] : ( ~ less_or_equal(v0, n6) | less(v0, n7))
% 10.93/3.13 | (161) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.13 | (162) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.13 | (163) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.13 | (164) ! [v0] : ! [v1] : (v1 = n1 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 10.93/3.13 | (165) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 10.93/3.13 | (166) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2))
% 10.93/3.13 | (167) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.13 | (168) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.93/3.13 | (169) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.93/3.13 | (170) plus(n0, n2) = n2
% 10.93/3.13 | (171) ? [v0] : (terminates(pull, forwards, v0) | happens(push, v0))
% 10.93/3.13 | (172) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.13 | (173) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2))
% 10.93/3.13 | (174) ! [v0] : ~ less(v0, v0)
% 10.93/3.13 | (175) ! [v0] : ( ~ less(v0, n2) | less_or_equal(v0, n1))
% 10.93/3.13 | (176) ! [v0] : ( ~ less_or_equal(v0, n1) | less(v0, n2))
% 10.93/3.13 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1))
% 10.93/3.13 | (178) ! [v0] : ( ~ less(v0, n9) | less_or_equal(v0, n8))
% 10.93/3.13 | (179) ! [v0] : ( ~ less_or_equal(v0, n8) | less(v0, n9))
% 10.93/3.13 | (180) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = push | ~ happens(v0, v1))
% 10.93/3.13 | (181) ! [v0] : ( ~ less(v0, n5) | less_or_equal(v0, n4))
% 10.93/3.13 | (182) ! [v0] : ( ~ less_or_equal(v0, n4) | less(v0, n5))
% 10.93/3.13 | (183) ! [v0] : ! [v1] : ! [v2] : ( ~ stoppedIn(v0, v1, v2) | ? [v3] : ? [v4] : (terminates(v3, v1, v4) & less(v4, v2) & less(v0, v4) & happens(v3, v4)))
% 10.93/3.13 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ terminates(v3, v1, v4) | ~ less(v4, v2) | ~ less(v0, v4) | ~ happens(v3, v4) | stoppedIn(v0, v1, v2))
% 10.93/3.13 | (185) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2))
% 10.93/3.13 | (186) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.13 | (187) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 10.93/3.13 | (188) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2))
% 10.93/3.13 | (189) plus(n0, n3) = n3
% 10.93/3.13 | (190) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2))
% 10.93/3.13 | (191) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 10.93/3.13 | (192) happens(pull, n1)
% 10.93/3.13 | (193) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2))
% 10.93/3.14 | (194) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 10.93/3.14 | (195) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2))
% 10.93/3.14 | (196) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 10.93/3.14 | (197) ! [v0] : ! [v1] : (v1 = v0 | ~ less_or_equal(v0, v1) | less(v0, v1))
% 10.93/3.14 | (198) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0))
% 10.93/3.14 | (199) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | ~ happens(v0, v1))
% 10.93/3.14 | (200) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2))
% 11.14/3.14 | (201) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2))
% 11.14/3.14 | (202) ! [v0] : ! [v1] : (v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1))
% 11.14/3.14 | (203) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2))
% 11.14/3.14 | (204) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2))
% 11.14/3.14 | (205) ~ (backwards = forwards)
% 11.14/3.14 | (206) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2))
% 11.14/3.14 |
% 11.14/3.14 | Instantiating formula (110) with n1, n0, backwards and discharging atoms plus(n0, n1) = n1, holdsAt(backwards, n1), ~ holdsAt(backwards, n0), yields:
% 11.14/3.14 | (207) releasedAt(backwards, n1) | ? [v0] : (initiates(v0, backwards, n0) & happens(v0, n0))
% 11.14/3.14 |
% 11.14/3.14 +-Applying beta-rule and splitting (207), into two cases.
% 11.14/3.14 |-Branch one:
% 11.14/3.14 | (208) releasedAt(backwards, n1)
% 11.14/3.14 |
% 11.14/3.14 | Instantiating formula (38) with n1, backwards and discharging atoms releasedAt(backwards, n1), yields:
% 11.14/3.14 | (209) $false
% 11.14/3.14 |
% 11.16/3.14 |-The branch is then unsatisfiable
% 11.16/3.14 |-Branch two:
% 11.16/3.14 | (210) ~ releasedAt(backwards, n1)
% 11.16/3.14 | (211) ? [v0] : (initiates(v0, backwards, n0) & happens(v0, n0))
% 11.16/3.14 |
% 11.16/3.14 | Instantiating (211) with all_72_0_9 yields:
% 11.16/3.14 | (212) initiates(all_72_0_9, backwards, n0) & happens(all_72_0_9, n0)
% 11.16/3.14 |
% 11.16/3.14 | Applying alpha-rule on (212) yields:
% 11.16/3.14 | (213) initiates(all_72_0_9, backwards, n0)
% 11.16/3.14 | (214) happens(all_72_0_9, n0)
% 11.16/3.14 |
% 11.16/3.14 | Instantiating formula (163) with n0, backwards, all_72_0_9 and discharging atoms initiates(all_72_0_9, backwards, n0), happens(push, n0), yields:
% 11.16/3.14 | (215) all_72_0_9 = push | spinning = backwards
% 11.16/3.14 |
% 11.16/3.14 | Instantiating formula (79) with n0, backwards, all_72_0_9 and discharging atoms initiates(all_72_0_9, backwards, n0), yields:
% 11.16/3.14 | (216) all_72_0_9 = pull | backwards = forwards
% 11.16/3.14 |
% 11.16/3.14 +-Applying beta-rule and splitting (216), into two cases.
% 11.16/3.14 |-Branch one:
% 11.16/3.14 | (217) all_72_0_9 = pull
% 11.16/3.14 |
% 11.16/3.14 +-Applying beta-rule and splitting (215), into two cases.
% 11.16/3.14 |-Branch one:
% 11.16/3.14 | (218) all_72_0_9 = push
% 11.16/3.14 |
% 11.16/3.14 | Combining equations (218,217) yields a new equation:
% 11.16/3.14 | (219) pull = push
% 11.16/3.14 |
% 11.16/3.14 | Equations (219) can reduce 30 to:
% 11.16/3.14 | (220) $false
% 11.16/3.14 |
% 11.16/3.14 |-The branch is then unsatisfiable
% 11.16/3.14 |-Branch two:
% 11.16/3.14 | (221) ~ (all_72_0_9 = push)
% 11.16/3.14 | (222) spinning = backwards
% 11.16/3.14 |
% 11.16/3.14 | Equations (222) can reduce 55 to:
% 11.16/3.14 | (220) $false
% 11.16/3.14 |
% 11.16/3.14 |-The branch is then unsatisfiable
% 11.16/3.14 |-Branch two:
% 11.16/3.14 | (224) ~ (all_72_0_9 = pull)
% 11.16/3.14 | (225) backwards = forwards
% 11.16/3.14 |
% 11.16/3.14 | Equations (225) can reduce 205 to:
% 11.16/3.14 | (220) $false
% 11.16/3.14 |
% 11.16/3.14 |-The branch is then unsatisfiable
% 11.16/3.14 % SZS output end Proof for theBenchmark
% 11.16/3.14
% 11.16/3.14 2495ms
%------------------------------------------------------------------------------