%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : CSR021+1 : TPTP v8.1.0. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Fri Jul 15 02:50:14 EDT 2022 % Result : Theorem 5.38s 1.83s % Output : Proof 8.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : CSR021+1 : TPTP v8.1.0. Bugfixed v3.1.0. % 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.34 % Computer : n019.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Fri Jun 10 10:27:40 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.58 ____ _ % 0.19/0.59 ___ / __ \_____(_)___ ________ __________ % 0.19/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.19/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.19/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.19/0.59 % 0.19/0.59 A Theorem Prover for First-Order Logic % 0.19/0.59 (ePrincess v.1.0) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2015 % 0.19/0.59 (c) Peter Backeman, 2014-2015 % 0.19/0.59 (contributions by Angelo Brillout, Peter Baumgartner) % 0.19/0.59 Free software under GNU Lesser General Public License (LGPL). % 0.19/0.59 Bug reports to peter@backeman.se % 0.19/0.59 % 0.19/0.59 For more information, visit http://user.uu.se/~petba168/breu/ % 0.19/0.59 % 0.19/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 1.77/1.01 Prover 0: Preprocessing ... % 4.45/1.61 Prover 0: Warning: ignoring some quantifiers % 4.45/1.64 Prover 0: Constructing countermodel ... % 5.38/1.82 Prover 0: proved (1187ms) % 5.38/1.83 % 5.38/1.83 No countermodel exists, formula is valid % 5.38/1.83 % SZS status Theorem for theBenchmark % 5.38/1.83 % 5.38/1.83 Generating proof ... Warning: ignoring some quantifiers % 7.56/2.32 found it (size 5) % 7.56/2.32 % 7.56/2.32 % SZS output start Proof for theBenchmark % 7.56/2.32 Assumed formulas after preprocessing and simplification: % 7.56/2.32 | (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, n3) & happens(pull, n2) & happens(pull, n1) & happens(push, n2) & happens(push, n0) & ~ holdsAt(spinning, n0) & ~ holdsAt(backwards, n0) & ~ holdsAt(forwards, n0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (plus(v1, v4) = v5) | ~ trajectory(v2, v1, v3, v4) | ~ initiates(v0, v2, v1) | ~ less(n0, v4) | ~ happens(v0, v1) | holdsAt(v3, v5) | stoppedIn(v1, v2, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (plus(v1, v3) = v5) | ~ antitrajectory(v2, v1, v4, v3) | ~ terminates(v0, v2, v1) | ~ less(n0, v3) | ~ happens(v0, v1) | holdsAt(v4, v5) | startedIn(v1, v2, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ initiates(v3, v2, v4) | ~ less(v4, v1) | ~ less(v0, v4) | ~ happens(v3, v4) | startedIn(v0, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ terminates(v3, v1, v4) | ~ less(v4, v2) | ~ less(v0, v4) | ~ happens(v3, v4) | stoppedIn(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releases(v0, v2, v1) | ~ happens(v0, v1) | releasedAt(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ holdsAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1) | holdsAt(v2, v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = push | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, v0) = v2) | plus(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ releasedAt(v0, v2) | releasedAt(v0, v1) | ? [v3] : (releases(v3, v0, v1) & happens(v3, v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ releasedAt(v0, v1) | releasedAt(v0, v2) | ? [v3] : (happens(v3, v1) & (initiates(v3, v0, v1) | terminates(v3, v0, v1)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v2) | releasedAt(v0, v2) | holdsAt(v0, v1) | ? [v3] : (initiates(v3, v0, v1) & happens(v3, v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v1) | releasedAt(v0, v2) | holdsAt(v0, v2) | ? [v3] : (terminates(v3, v0, v1) & happens(v3, v1))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v0, v1) = v2) | plus(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ~ releases(v0, v1, v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ startedIn(v0, v2, v1) | ? [v3] : ? [v4] : (initiates(v3, v2, v4) & less(v4, v1) & less(v0, v4) & happens(v3, v4))) & ! [v0] : ! [v1] : ! [v2] : ( ~ stoppedIn(v0, v1, v2) | ? [v3] : ? [v4] : (terminates(v3, v1, v4) & less(v4, v2) & less(v0, v4) & happens(v3, v4))) & ! [v0] : ! [v1] : (v1 = v0 | ~ less_or_equal(v0, v1) | less(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = pull | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n2 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n1 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : (v0 = pull | v0 = push | ~ happens(v0, v1)) & ! [v0] : ! [v1] : ~ releasedAt(v0, v1) & ! [v0] : ! [v1] : ( ~ less(v1, v0) | ~ less(v0, v1)) & ! [v0] : ! [v1] : ( ~ less(v0, v1) | less_or_equal(v0, v1)) & ! [v0] : ( ~ less_or_equal(v0, n8) | less(v0, n9)) & ! [v0] : ( ~ less_or_equal(v0, n7) | less(v0, n8)) & ! [v0] : ( ~ less_or_equal(v0, n6) | less(v0, n7)) & ! [v0] : ( ~ less_or_equal(v0, n5) | less(v0, n6)) & ! [v0] : ( ~ less_or_equal(v0, n4) | less(v0, n5)) & ! [v0] : ( ~ less_or_equal(v0, n3) | less(v0, n4)) & ! [v0] : ( ~ less_or_equal(v0, n2) | less(v0, n3)) & ! [v0] : ( ~ less_or_equal(v0, n1) | less(v0, n2)) & ! [v0] : ( ~ less_or_equal(v0, n0) | less(v0, n1)) & ! [v0] : ~ less(v0, v0) & ! [v0] : ( ~ less(v0, n9) | less_or_equal(v0, n8)) & ! [v0] : ( ~ less(v0, n8) | less_or_equal(v0, n7)) & ! [v0] : ( ~ less(v0, n7) | less_or_equal(v0, n6)) & ! [v0] : ( ~ less(v0, n6) | less_or_equal(v0, n5)) & ! [v0] : ( ~ less(v0, n5) | less_or_equal(v0, n4)) & ! [v0] : ( ~ less(v0, n4) | less_or_equal(v0, n3)) & ! [v0] : ( ~ less(v0, n3) | less_or_equal(v0, n2)) & ! [v0] : ( ~ less(v0, n2) | less_or_equal(v0, n1)) & ! [v0] : ( ~ less(v0, n1) | less_or_equal(v0, n0)) & ! [v0] : ~ less(v0, n0) & ! [v0] : ( ~ happens(push, v0) | initiates(pull, spinning, v0)) & ! [v0] : ( ~ happens(push, v0) | terminates(pull, backwards, v0)) & ! [v0] : ( ~ happens(push, v0) | terminates(pull, forwards, v0)) & ? [v0] : ? [v1] : (v1 = v0 | less(v1, v0) | less(v0, v1)) & ? [v0] : less_or_equal(v0, v0) & ? [v0] : (initiates(pull, backwards, v0) | happens(push, v0)) & ? [v0] : (initiates(push, forwards, v0) | happens(pull, v0)) & ? [v0] : (terminates(pull, spinning, v0) | happens(push, v0)) & ? [v0] : (terminates(pull, forwards, v0) | happens(push, v0)) & ? [v0] : (terminates(push, spinning, v0) | happens(pull, v0)) & ? [v0] : (terminates(push, backwards, v0) | happens(pull, v0)) % 7.98/2.39 | Applying alpha-rule on (0) yields: % 7.98/2.39 | (1) plus(n0, n0) = n0 % 7.98/2.39 | (2) ! [v0] : ( ~ less(v0, n8) | less_or_equal(v0, n7)) % 7.98/2.39 | (3) ! [v0] : ( ~ less_or_equal(v0, n7) | less(v0, n8)) % 7.98/2.39 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 7.98/2.39 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 7.98/2.39 | (6) ! [v0] : ( ~ happens(push, v0) | terminates(pull, backwards, v0)) % 7.98/2.40 | (7) ? [v0] : (terminates(push, backwards, v0) | happens(pull, v0)) % 7.98/2.40 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2)) % 7.98/2.40 | (9) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) % 7.98/2.40 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 7.98/2.40 | (11) plus(n2, n2) = n4 % 7.98/2.40 | (12) happens(push, n2) % 7.98/2.40 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 7.98/2.40 | (14) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 7.98/2.40 | (15) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 7.98/2.40 | (16) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 7.98/2.40 | (17) ! [v0] : ! [v1] : ( ~ less(v0, v1) | less_or_equal(v0, v1)) % 7.98/2.40 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v0, v1) = v2) | plus(v1, v0) = v2) % 7.98/2.40 | (19) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, v0) = v2) | plus(v0, v1) = v2) % 7.98/2.40 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 7.98/2.40 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ releasedAt(v0, v2) | releasedAt(v0, v1) | ? [v3] : (releases(v3, v0, v1) & happens(v3, v1))) % 7.98/2.40 | (22) ? [v0] : (terminates(pull, spinning, v0) | happens(push, v0)) % 7.98/2.40 | (23) ! [v0] : ( ~ less(v0, n4) | less_or_equal(v0, n3)) % 7.98/2.40 | (24) ! [v0] : ( ~ less_or_equal(v0, n3) | less(v0, n4)) % 7.98/2.40 | (25) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 7.98/2.40 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 7.98/2.40 | (27) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) % 7.98/2.40 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ holdsAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1)) % 7.98/2.40 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 7.98/2.40 | (30) ~ (pull = push) % 7.98/2.40 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 7.98/2.40 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 7.98/2.40 | (33) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 7.98/2.40 | (34) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) % 7.98/2.40 | (35) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 7.98/2.40 | (36) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 7.98/2.40 | (37) holdsAt(backwards, n3) % 7.98/2.40 | (38) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 7.98/2.40 | (39) ! [v0] : ! [v1] : ~ releasedAt(v0, v1) % 7.98/2.40 | (40) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2)) % 7.98/2.40 | (41) ! [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)) % 7.98/2.40 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 7.98/2.41 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 7.98/2.41 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2)) % 7.98/2.41 | (45) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 7.98/2.41 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 7.98/2.41 | (47) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 7.98/2.41 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releases(v0, v2, v1) | ~ happens(v0, v1) | releasedAt(v2, v3)) % 8.06/2.41 | (49) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.06/2.41 | (50) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2) | happens(push, v2)) % 8.06/2.41 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 8.06/2.41 | (52) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 8.06/2.41 | (53) happens(pull, n2) % 8.06/2.41 | (54) ~ holdsAt(spinning, n0) % 8.06/2.41 | (55) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 8.06/2.41 | (56) ~ (spinning = backwards) % 8.06/2.41 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 8.06/2.41 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | happens(push, v2)) % 8.06/2.41 | (59) ? [v0] : (terminates(push, spinning, v0) | happens(pull, v0)) % 8.06/2.41 | (60) ! [v0] : ! [v1] : ! [v2] : ( ~ startedIn(v0, v2, v1) | ? [v3] : ? [v4] : (initiates(v3, v2, v4) & less(v4, v1) & less(v0, v4) & happens(v3, v4))) % 8.06/2.41 | (61) ! [v0] : ( ~ happens(push, v0) | initiates(pull, spinning, v0)) % 8.06/2.41 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) % 8.06/2.41 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.06/2.41 | (64) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = pull | ~ happens(v0, v1)) % 8.06/2.41 | (65) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 8.06/2.41 | (66) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 8.06/2.41 | (67) ! [v0] : ( ~ less(v0, n3) | less_or_equal(v0, n2)) % 8.06/2.41 | (68) ! [v0] : ( ~ less_or_equal(v0, n2) | less(v0, n3)) % 8.06/2.41 | (69) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.06/2.41 | (70) ! [v0] : ! [v1] : (v0 = pull | v0 = push | ~ happens(v0, v1)) % 8.06/2.41 | (71) ! [v0] : ! [v1] : (v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 8.06/2.41 | (72) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.06/2.41 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.41 | (74) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 8.09/2.42 | (75) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 8.09/2.42 | (76) ! [v0] : ( ~ happens(push, v0) | terminates(pull, forwards, v0)) % 8.09/2.42 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.42 | (78) ! [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)) % 8.09/2.42 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.42 | (80) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) % 8.09/2.42 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.42 | (82) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) % 8.09/2.42 | (83) ? [v0] : (initiates(push, forwards, v0) | happens(pull, v0)) % 8.09/2.42 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.42 | (85) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.42 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = push | ~ initiates(v0, v1, v2)) % 8.09/2.42 | (87) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.42 | (88) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.42 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 8.09/2.42 | (90) ! [v0] : ! [v1] : (v1 = n2 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 8.09/2.42 | (91) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.42 | (92) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.42 | (93) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ releasedAt(v0, v1) | releasedAt(v0, v2) | ? [v3] : (happens(v3, v1) & (initiates(v3, v0, v1) | terminates(v3, v0, v1)))) % 8.09/2.42 | (94) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.42 | (95) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.42 | (96) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 8.09/2.42 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.42 | (98) plus(n3, n3) = n6 % 8.09/2.42 | (99) plus(n0, n1) = n1 % 8.09/2.42 | (100) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 8.09/2.42 | (101) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2)) % 8.09/2.42 | (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))) % 8.09/2.42 | (103) ~ (spinning = forwards) % 8.09/2.42 | (104) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1) | holdsAt(v2, v3)) % 8.09/2.42 | (105) ? [v0] : ? [v1] : (v1 = v0 | less(v1, v0) | less(v0, v1)) % 8.09/2.42 | (106) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.42 | (107) plus(n1, n1) = n2 % 8.09/2.42 | (108) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) % 8.09/2.42 | (109) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 8.09/2.43 | (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))) % 8.09/2.43 | (111) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 8.09/2.43 | (112) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.43 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | happens(push, v2)) % 8.09/2.43 | (114) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 8.09/2.43 | (115) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) % 8.09/2.43 | (116) plus(n1, n2) = n3 % 8.09/2.43 | (117) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.43 | (118) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.43 | (119) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 8.09/2.43 | (120) ! [v0] : ! [v1] : ! [v2] : ~ releases(v0, v1, v2) % 8.09/2.43 | (121) ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | ~ happens(v0, v1)) % 8.09/2.43 | (122) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.43 | (123) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.43 | (124) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 8.09/2.43 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.43 | (126) ? [v0] : less_or_equal(v0, v0) % 8.09/2.43 | (127) ? [v0] : (initiates(pull, backwards, v0) | happens(push, v0)) % 8.09/2.43 | (128) plus(n2, n3) = n5 % 8.09/2.43 | (129) ~ holdsAt(backwards, n0) % 8.09/2.43 | (130) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.43 | (131) ! [v0] : ! [v1] : ( ~ less(v1, v0) | ~ less(v0, v1)) % 8.09/2.43 | (132) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.43 | (133) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.43 | (134) ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 8.09/2.43 | (135) ! [v0] : ( ~ less(v0, n1) | less_or_equal(v0, n0)) % 8.09/2.43 | (136) ! [v0] : ( ~ less_or_equal(v0, n0) | less(v0, n1)) % 8.09/2.43 | (137) plus(n1, n3) = n4 % 8.09/2.43 | (138) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 8.09/2.43 | (139) ! [v0] : ( ~ less(v0, n6) | less_or_equal(v0, n5)) % 8.09/2.43 | (140) ! [v0] : ( ~ less_or_equal(v0, n5) | less(v0, n6)) % 8.09/2.43 | (141) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.43 | (142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ initiates(v3, v2, v4) | ~ less(v4, v1) | ~ less(v0, v4) | ~ happens(v3, v4) | startedIn(v0, v2, v1)) % 8.09/2.43 | (143) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 8.09/2.43 | (144) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.43 | (145) happens(push, n0) % 8.09/2.43 | (146) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 8.09/2.43 | (147) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) % 8.09/2.43 | (148) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = push | ~ happens(v0, v1)) % 8.09/2.43 | (149) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2)) % 8.09/2.43 | (150) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.43 | (151) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1)) % 8.09/2.43 | (152) ~ holdsAt(forwards, n0) % 8.09/2.43 | (153) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.43 | (154) ! [v0] : ~ less(v0, n0) % 8.09/2.43 | (155) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.43 | (156) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 8.09/2.43 | (157) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.43 | (158) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.43 | (159) ! [v0] : ( ~ less(v0, n7) | less_or_equal(v0, n6)) % 8.09/2.43 | (160) ! [v0] : ( ~ less_or_equal(v0, n6) | less(v0, n7)) % 8.09/2.43 | (161) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.43 | (162) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.43 | (163) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) % 8.09/2.44 | (164) ! [v0] : ! [v1] : (v1 = n1 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 8.09/2.44 | (165) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.44 | (166) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) % 8.09/2.44 | (167) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.44 | (168) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 8.09/2.44 | (169) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 8.09/2.44 | (170) plus(n0, n2) = n2 % 8.09/2.44 | (171) ? [v0] : (terminates(pull, forwards, v0) | happens(push, v0)) % 8.09/2.44 | (172) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.44 | (173) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2)) % 8.09/2.44 | (174) ! [v0] : ~ less(v0, v0) % 8.09/2.44 | (175) ! [v0] : ( ~ less(v0, n2) | less_or_equal(v0, n1)) % 8.09/2.44 | (176) ! [v0] : ( ~ less_or_equal(v0, n1) | less(v0, n2)) % 8.09/2.44 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1)) % 8.09/2.44 | (178) ! [v0] : ( ~ less(v0, n9) | less_or_equal(v0, n8)) % 8.09/2.44 | (179) ! [v0] : ( ~ less_or_equal(v0, n8) | less(v0, n9)) % 8.09/2.44 | (180) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = push | ~ happens(v0, v1)) % 8.09/2.44 | (181) ! [v0] : ( ~ less(v0, n5) | less_or_equal(v0, n4)) % 8.09/2.44 | (182) ! [v0] : ( ~ less_or_equal(v0, n4) | less(v0, n5)) % 8.09/2.44 | (183) ! [v0] : ! [v1] : ! [v2] : ( ~ stoppedIn(v0, v1, v2) | ? [v3] : ? [v4] : (terminates(v3, v1, v4) & less(v4, v2) & less(v0, v4) & happens(v3, v4))) % 8.09/2.44 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ terminates(v3, v1, v4) | ~ less(v4, v2) | ~ less(v0, v4) | ~ happens(v3, v4) | stoppedIn(v0, v1, v2)) % 8.09/2.44 | (185) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2)) % 8.09/2.44 | (186) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.44 | (187) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 8.09/2.44 | (188) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2)) % 8.09/2.44 | (189) plus(n0, n3) = n3 % 8.09/2.44 | (190) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2)) % 8.09/2.44 | (191) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 8.09/2.44 | (192) happens(pull, n1) % 8.09/2.44 | (193) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 8.09/2.44 | (194) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 8.09/2.44 | (195) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 8.09/2.44 | (196) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.44 | (197) ! [v0] : ! [v1] : (v1 = v0 | ~ less_or_equal(v0, v1) | less(v0, v1)) % 8.09/2.44 | (198) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) % 8.09/2.44 | (199) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | ~ happens(v0, v1)) % 8.09/2.44 | (200) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) % 8.09/2.44 | (201) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 8.09/2.44 | (202) ! [v0] : ! [v1] : (v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 8.09/2.44 | (203) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 8.09/2.44 | (204) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 8.09/2.44 | (205) ~ (backwards = forwards) % 8.09/2.44 | (206) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 8.09/2.44 | % 8.09/2.44 | Instantiating formula (19) with n3, n1, n2 and discharging atoms plus(n1, n2) = n3, yields: % 8.09/2.44 | (207) plus(n2, n1) = n3 % 8.09/2.44 | % 8.09/2.44 | Instantiating formula (6) with n2 and discharging atoms happens(push, n2), yields: % 8.09/2.44 | (208) terminates(pull, backwards, n2) % 8.09/2.44 | % 8.09/2.44 | Instantiating formula (28) with n3, backwards, n2, pull and discharging atoms plus(n2, n1) = n3, holdsAt(backwards, n3), terminates(pull, backwards, n2), happens(pull, n2), yields: % 8.09/2.44 | (209) $false % 8.09/2.44 | % 8.09/2.44 |-The branch is then unsatisfiable % 8.09/2.44 % SZS output end Proof for theBenchmark % 8.09/2.44 % 8.09/2.44 1847ms %------------------------------------------------------------------------------