%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : CSR020+1 : TPTP v8.1.0. Bugfixed v3.1.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n028.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 75.57s 44.09s % Output : Proof 89.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : CSR020+1 : TPTP v8.1.0. Bugfixed v3.1.0. % 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Fri Jun 10 01:34:33 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.69 ____ _ % 0.18/0.69 ___ / __ \_____(_)___ ________ __________ % 0.18/0.69 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.18/0.69 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.18/0.69 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.18/0.69 % 0.18/0.69 A Theorem Prover for First-Order Logic % 0.18/0.69 (ePrincess v.1.0) % 0.18/0.69 % 0.18/0.69 (c) Philipp Rümmer, 2009-2015 % 0.18/0.69 (c) Peter Backeman, 2014-2015 % 0.18/0.69 (contributions by Angelo Brillout, Peter Baumgartner) % 0.18/0.69 Free software under GNU Lesser General Public License (LGPL). % 0.18/0.69 Bug reports to peter@backeman.se % 0.18/0.69 % 0.18/0.69 For more information, visit http://user.uu.se/~petba168/breu/ % 0.18/0.69 % 0.18/0.69 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.86/0.76 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.04/1.11 Prover 0: Preprocessing ... % 4.41/1.69 Prover 0: Warning: ignoring some quantifiers % 4.60/1.72 Prover 0: Constructing countermodel ... % 19.95/6.05 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all % 20.25/6.12 Prover 1: Preprocessing ... % 21.01/6.29 Prover 1: Constructing countermodel ... % 21.29/6.38 Prover 1: gave up % 21.29/6.38 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 21.29/6.41 Prover 2: Preprocessing ... % 22.04/6.51 Prover 2: Warning: ignoring some quantifiers % 22.04/6.52 Prover 2: Constructing countermodel ... % 28.71/8.11 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 28.71/8.17 Prover 3: Preprocessing ... % 29.65/8.32 Prover 3: Warning: ignoring some quantifiers % 29.65/8.33 Prover 3: Constructing countermodel ... % 75.57/44.09 Prover 3: proved (35972ms) % 75.57/44.09 Prover 2: stopped % 75.57/44.09 Prover 0: stopped % 75.57/44.09 % 75.57/44.09 No countermodel exists, formula is valid % 75.57/44.09 % SZS status Theorem for theBenchmark % 75.57/44.09 % 75.57/44.09 Generating proof ... Warning: ignoring some quantifiers % 88.67/48.11 found it (size 76) % 88.67/48.11 % 88.67/48.11 % SZS output start Proof for theBenchmark % 88.67/48.11 Assumed formulas after preprocessing and simplification: % 88.67/48.11 | (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(spinning, n2) & 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, 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)) % 89.09/48.21 | Applying alpha-rule on (0) yields: % 89.09/48.21 | (1) ! [v0] : ~ less(v0, v0) % 89.09/48.21 | (2) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.21 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ releasedAt(v0, v2) | releasedAt(v0, v1) | ? [v3] : (releases(v3, v0, v1) & happens(v3, v1))) % 89.09/48.21 | (4) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.21 | (5) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 89.09/48.21 | (6) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.21 | (7) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.21 | (8) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.21 | (9) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.21 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.21 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.21 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ startedIn(v0, v2, v1) | ? [v3] : ? [v4] : (initiates(v3, v2, v4) & less(v4, v1) & less(v0, v4) & happens(v3, v4))) % 89.09/48.21 | (13) ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 89.09/48.21 | (14) ! [v0] : ! [v1] : ( ~ less(v1, v0) | ~ less(v0, v1)) % 89.09/48.21 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2)) % 89.09/48.21 | (16) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.21 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.22 | (18) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.22 | (19) plus(n0, n1) = n1 % 89.09/48.22 | (20) ! [v0] : ( ~ less(v0, n3) | less_or_equal(v0, n2)) % 89.09/48.22 | (21) ! [v0] : ( ~ less_or_equal(v0, n2) | less(v0, n3)) % 89.09/48.22 | (22) ! [v0] : ! [v1] : ! [v2] : ~ releases(v0, v1, v2) % 89.09/48.22 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.22 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) % 89.09/48.22 | (25) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.22 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.22 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releases(v0, v2, v1) | ~ happens(v0, v1) | releasedAt(v2, v3)) % 89.09/48.22 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.22 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.22 | (30) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v2) | releasedAt(v0, v2) | holdsAt(v0, v1) | ? [v3] : (initiates(v3, v0, v1) & happens(v3, v1))) % 89.09/48.22 | (31) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.22 | (32) ? [v0] : less_or_equal(v0, v0) % 89.09/48.22 | (33) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 89.09/48.22 | (34) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = push | ~ happens(v0, v1)) % 89.09/48.22 | (35) ! [v0] : ( ~ less(v0, n5) | less_or_equal(v0, n4)) % 89.09/48.22 | (36) ! [v0] : ( ~ less_or_equal(v0, n4) | less(v0, n5)) % 89.09/48.22 | (37) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | ~ happens(v0, v1)) % 89.09/48.22 | (38) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.22 | (39) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ holdsAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1)) % 89.09/48.22 | (40) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.22 | (41) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1) | holdsAt(v2, v3)) % 89.09/48.22 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.22 | (43) ! [v0] : ! [v1] : ( ~ less(v0, v1) | less_or_equal(v0, v1)) % 89.09/48.22 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.22 | (45) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v0, v1) = v2) | plus(v1, v0) = v2) % 89.09/48.23 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2)) % 89.09/48.23 | (47) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.23 | (48) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.23 | (49) ~ holdsAt(forwards, n0) % 89.09/48.23 | (50) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2)) % 89.09/48.23 | (51) ~ (pull = push) % 89.09/48.23 | (52) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.23 | (53) ? [v0] : (terminates(push, spinning, v0) | happens(pull, v0)) % 89.09/48.23 | (54) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.23 | (55) ? [v0] : (terminates(pull, spinning, v0) | happens(push, v0)) % 89.09/48.23 | (56) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.23 | (57) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 89.09/48.23 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.23 | (59) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.23 | (60) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.23 | (61) ~ holdsAt(backwards, n0) % 89.09/48.23 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.23 | (63) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.23 | (64) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 89.09/48.23 | (65) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 89.09/48.23 | (66) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.23 | (67) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.23 | (68) ! [v0] : ( ~ happens(push, v0) | initiates(pull, spinning, v0)) % 89.09/48.23 | (69) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.23 | (70) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.23 | (71) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) % 89.09/48.24 | (72) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2)) % 89.09/48.24 | (73) ! [v0] : ( ~ less(v0, n7) | less_or_equal(v0, n6)) % 89.09/48.24 | (74) ! [v0] : ( ~ less_or_equal(v0, n6) | less(v0, n7)) % 89.09/48.24 | (75) ! [v0] : ! [v1] : (v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 89.09/48.24 | (76) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ initiates(v0, v2, v1) | ~ happens(v0, v1)) % 89.09/48.24 | (77) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.24 | (78) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.24 | (79) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.24 | (80) ! [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)) % 89.09/48.24 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.24 | (82) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.24 | (83) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.24 | (84) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.24 | (85) ! [v0] : ! [v1] : (v0 = pull | v0 = push | ~ happens(v0, v1)) % 89.09/48.24 | (86) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.24 | (87) plus(n3, n3) = n6 % 89.09/48.24 | (88) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.24 | (89) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.24 | (90) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.24 | (91) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) % 89.09/48.24 | (92) ! [v0] : ~ less(v0, n0) % 89.09/48.24 | (93) ! [v0] : ( ~ less(v0, n9) | less_or_equal(v0, n8)) % 89.09/48.24 | (94) ! [v0] : ( ~ less_or_equal(v0, n8) | less(v0, n9)) % 89.09/48.24 | (95) ! [v0] : ! [v1] : (v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 89.09/48.24 | (96) ! [v0] : ( ~ less(v0, n1) | less_or_equal(v0, n0)) % 89.09/48.24 | (97) ! [v0] : ( ~ less_or_equal(v0, n0) | less(v0, n1)) % 89.09/48.25 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 89.09/48.25 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.25 | (100) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.25 | (101) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.25 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.25 | (103) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.25 | (104) plus(n1, n2) = n3 % 89.09/48.25 | (105) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ initiates(v0, v1, v2)) % 89.09/48.25 | (106) ~ (backwards = forwards) % 89.09/48.25 | (107) ~ (spinning = forwards) % 89.09/48.25 | (108) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = push | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.25 | (109) plus(n2, n2) = n4 % 89.09/48.25 | (110) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.25 | (111) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.25 | (112) ? [v0] : (terminates(push, backwards, v0) | happens(pull, v0)) % 89.09/48.25 | (113) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.25 | (114) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.25 | (115) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.25 | (116) plus(n0, n0) = n0 % 89.09/48.25 | (117) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.25 | (118) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.25 | (119) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.25 | (120) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.25 | (121) plus(n1, n3) = n4 % 89.09/48.25 | (122) ! [v0] : ! [v1] : (v1 = n2 | v1 = n0 | v0 = pull | ~ happens(v0, v1)) % 89.09/48.25 | (123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ initiates(v3, v2, v4) | ~ less(v4, v1) | ~ less(v0, v4) | ~ happens(v3, v4) | startedIn(v0, v2, v1)) % 89.09/48.26 | (124) happens(push, n2) % 89.09/48.26 | (125) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | happens(push, v2)) % 89.09/48.26 | (126) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.26 | (127) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.26 | (128) ? [v0] : (terminates(pull, forwards, v0) | happens(push, v0)) % 89.09/48.26 | (129) ~ holdsAt(spinning, n0) % 89.09/48.26 | (130) ! [v0] : ! [v1] : (v1 = v0 | ~ less_or_equal(v0, v1) | less(v0, v1)) % 89.09/48.26 | (131) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2)) % 89.09/48.26 | (132) ! [v0] : ( ~ less(v0, n6) | less_or_equal(v0, n5)) % 89.09/48.26 | (133) ! [v0] : ( ~ less_or_equal(v0, n5) | less(v0, n6)) % 89.09/48.26 | (134) ~ (spinning = backwards) % 89.09/48.26 | (135) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.26 | (136) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.26 | (137) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | ~ initiates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.26 | (138) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.26 | (139) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.26 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.26 | (141) plus(n1, n1) = n2 % 89.09/48.26 | (142) happens(pull, n1) % 89.09/48.26 | (143) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.27 | (144) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.27 | (145) ? [v0] : (initiates(push, forwards, v0) | happens(pull, v0)) % 89.09/48.27 | (146) ! [v0] : ( ~ happens(push, v0) | terminates(pull, backwards, v0)) % 89.09/48.27 | (147) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | ~ initiates(v0, v1, v2) | happens(push, v2)) % 89.09/48.27 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ terminates(v3, v1, v4) | ~ less(v4, v2) | ~ less(v0, v4) | ~ happens(v3, v4) | stoppedIn(v0, v1, v2)) % 89.09/48.27 | (149) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.27 | (150) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.27 | (151) plus(n0, n2) = n2 % 89.09/48.27 | (152) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.27 | (153) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2)) % 89.09/48.27 | (154) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.27 | (155) ! [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)))) % 89.09/48.27 | (156) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.27 | (157) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = pull | ~ happens(v0, v1)) % 89.09/48.27 | (158) ! [v0] : ( ~ less(v0, n2) | less_or_equal(v0, n1)) % 89.09/48.27 | (159) ! [v0] : ( ~ less_or_equal(v0, n1) | less(v0, n2)) % 89.09/48.27 | (160) ! [v0] : ( ~ less(v0, n4) | less_or_equal(v0, n3)) % 89.09/48.27 | (161) ! [v0] : ( ~ less_or_equal(v0, n3) | less(v0, n4)) % 89.09/48.27 | (162) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.27 | (163) holdsAt(spinning, n2) % 89.09/48.27 | (164) ? [v0] : (initiates(pull, backwards, v0) | happens(push, v0)) % 89.09/48.27 | (165) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.27 | (166) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = push | ~ initiates(v0, v1, v2)) % 89.09/48.27 | (167) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 89.09/48.27 | (168) ! [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)) % 89.09/48.27 | (169) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = push | ~ happens(v0, v1)) % 89.09/48.27 | (170) happens(push, n0) % 89.09/48.27 | (171) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.27 | (172) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.28 | (173) plus(n2, n3) = n5 % 89.09/48.28 | (174) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.28 | (175) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = push | ~ initiates(v0, v1, v2) | happens(push, v2)) % 89.09/48.28 | (176) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (plus(v1, n1) = v3) | ~ releasedAt(v2, v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1)) % 89.09/48.28 | (177) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.28 | (178) ! [v0] : ! [v1] : ! [v2] : (v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.28 | (179) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(push, v2)) % 89.09/48.28 | (180) ! [v0] : ! [v1] : (v1 = n2 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 89.09/48.28 | (181) ! [v0] : ! [v1] : (v1 = n1 | v1 = n0 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 89.09/48.28 | (182) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) % 89.09/48.28 | (183) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v0 = pull | ~ initiates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.28 | (184) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.28 | (185) ! [v0] : ( ~ less(v0, n8) | less_or_equal(v0, n7)) % 89.09/48.28 | (186) ! [v0] : ( ~ less_or_equal(v0, n7) | less(v0, n8)) % 89.09/48.28 | (187) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ initiates(v0, v1, v2)) % 89.09/48.28 | (188) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.28 | (189) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.28 | (190) ! [v0] : ! [v1] : ! [v2] : (v1 = backwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.28 | (191) ! [v0] : ! [v1] : ~ releasedAt(v0, v1) % 89.09/48.28 | (192) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.28 | (193) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) % 89.09/48.28 | (194) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | v0 = push | ~ terminates(v0, v1, v2)) % 89.09/48.28 | (195) ! [v0] : ! [v1] : ! [v2] : (v1 = forwards | v0 = pull | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) % 89.09/48.28 | (196) ! [v0] : ! [v1] : ! [v2] : ( ~ (plus(v1, n1) = v2) | ~ holdsAt(v0, v1) | releasedAt(v0, v2) | holdsAt(v0, v2) | ? [v3] : (terminates(v3, v0, v1) & happens(v3, v1))) % 89.09/48.28 | (197) happens(pull, n2) % 89.09/48.28 | (198) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v0 = pull | ~ terminates(v0, v1, v2) | happens(push, v2)) % 89.09/48.28 | (199) ! [v0] : ! [v1] : ! [v2] : ( ~ stoppedIn(v0, v1, v2) | ? [v3] : ? [v4] : (terminates(v3, v1, v4) & less(v4, v2) & less(v0, v4) & happens(v3, v4))) % 89.09/48.28 | (200) ! [v0] : ! [v1] : (v1 = n2 | v1 = n1 | v0 = pull | v0 = push | ~ happens(v0, v1)) % 89.09/48.28 | (201) ! [v0] : ! [v1] : ! [v2] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) % 89.09/48.29 | (202) plus(n0, n3) = n3 % 89.09/48.29 | (203) ! [v0] : ( ~ happens(push, v0) | terminates(pull, forwards, v0)) % 89.09/48.29 | (204) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) % 89.09/48.29 | (205) ? [v0] : ? [v1] : (v1 = v0 | less(v1, v0) | less(v0, v1)) % 89.09/48.29 | % 89.09/48.29 | Instantiating formula (204) with n0, n2, n2, n3 and discharging atoms plus(n0, n2) = n2, yields: % 89.09/48.29 | (206) n3 = n2 | ~ (plus(n0, n2) = n3) % 89.09/48.29 | % 89.09/48.29 | Instantiating formula (204) with n0, n0, n0, n2 and discharging atoms plus(n0, n0) = n0, yields: % 89.09/48.29 | (207) n2 = n0 | ~ (plus(n0, n0) = n2) % 89.09/48.29 | % 89.09/48.29 | Using (163) and (129) yields: % 89.09/48.29 | (208) ~ (n2 = n0) % 89.09/48.29 | % 89.09/48.29 | Instantiating formula (45) with n3, n2, n1 and discharging atoms plus(n1, n2) = n3, yields: % 89.09/48.29 | (209) plus(n2, n1) = n3 % 89.09/48.29 | % 89.09/48.29 | Instantiating formula (30) with n2, n1, spinning and discharging atoms plus(n1, n1) = n2, holdsAt(spinning, n2), yields: % 89.09/48.29 | (210) releasedAt(spinning, n2) | holdsAt(spinning, n1) | ? [v0] : (initiates(v0, spinning, n1) & happens(v0, n1)) % 89.53/48.29 | % 89.53/48.29 | Instantiating formula (30) with n1, n0, spinning and discharging atoms plus(n0, n1) = n1, ~ holdsAt(spinning, n0), yields: % 89.53/48.29 | (211) ~ holdsAt(spinning, n1) | releasedAt(spinning, n1) | ? [v0] : (initiates(v0, spinning, n0) & happens(v0, n0)) % 89.53/48.29 | % 89.53/48.29 | Instantiating formula (68) with n2 and discharging atoms happens(push, n2), yields: % 89.53/48.29 | (212) initiates(pull, spinning, n2) % 89.53/48.29 | % 89.53/48.29 | Instantiating formula (41) with n3, spinning, n2, pull and discharging atoms plus(n2, n1) = n3, initiates(pull, spinning, n2), happens(pull, n2), yields: % 89.53/48.29 | (213) holdsAt(spinning, n3) % 89.53/48.29 | % 89.53/48.29 | Instantiating formula (137) with n1, spinning, pull and discharging atoms happens(pull, n1), yields: % 89.53/48.29 | (214) spinning = backwards | ~ initiates(pull, spinning, n1) | happens(push, n1) % 89.53/48.29 | % 89.53/48.29 +-Applying beta-rule and splitting (210), into two cases. % 89.53/48.29 |-Branch one: % 89.53/48.29 | (215) releasedAt(spinning, n2) % 89.53/48.29 | % 89.53/48.29 | Instantiating formula (191) with n2, spinning and discharging atoms releasedAt(spinning, n2), yields: % 89.53/48.29 | (216) $false % 89.53/48.29 | % 89.53/48.29 |-The branch is then unsatisfiable % 89.53/48.29 |-Branch two: % 89.53/48.29 | (217) ~ releasedAt(spinning, n2) % 89.53/48.29 | (218) holdsAt(spinning, n1) | ? [v0] : (initiates(v0, spinning, n1) & happens(v0, n1)) % 89.53/48.29 | % 89.53/48.29 +-Applying beta-rule and splitting (211), into two cases. % 89.53/48.29 |-Branch one: % 89.53/48.29 | (219) ~ holdsAt(spinning, n1) % 89.53/48.29 | % 89.53/48.29 +-Applying beta-rule and splitting (218), into two cases. % 89.53/48.29 |-Branch one: % 89.53/48.29 | (220) holdsAt(spinning, n1) % 89.53/48.29 | % 89.53/48.29 | Using (220) and (219) yields: % 89.53/48.29 | (216) $false % 89.53/48.29 | % 89.53/48.29 |-The branch is then unsatisfiable % 89.53/48.29 |-Branch two: % 89.53/48.29 | (219) ~ holdsAt(spinning, n1) % 89.53/48.29 | (223) ? [v0] : (initiates(v0, spinning, n1) & happens(v0, n1)) % 89.53/48.29 | % 89.53/48.29 | Instantiating (223) with all_161_0_65 yields: % 89.53/48.29 | (224) initiates(all_161_0_65, spinning, n1) & happens(all_161_0_65, n1) % 89.53/48.29 | % 89.53/48.29 | Applying alpha-rule on (224) yields: % 89.53/48.29 | (225) initiates(all_161_0_65, spinning, n1) % 89.53/48.29 | (226) happens(all_161_0_65, n1) % 89.53/48.29 | % 89.53/48.29 | Instantiating formula (2) with n1, spinning, all_161_0_65 and discharging atoms initiates(all_161_0_65, spinning, n1), happens(pull, n1), yields: % 89.53/48.29 | (227) all_161_0_65 = pull % 89.53/48.30 | % 89.53/48.30 | Instantiating formula (100) with n1, spinning, push and discharging atoms happens(pull, n1), yields: % 89.53/48.30 | (228) pull = push | ~ initiates(push, spinning, n1) | ~ happens(push, n1) % 89.53/48.30 | % 89.53/48.30 | Instantiating formula (179) with n1, spinning, push yields: % 89.53/48.30 | (229) spinning = forwards | pull = push | ~ initiates(push, spinning, n1) | ~ happens(push, n1) % 89.53/48.30 | % 89.53/48.30 | Using (213) and (219) yields: % 89.53/48.30 | (230) ~ (n3 = n1) % 89.53/48.30 | % 89.53/48.30 | Using (163) and (219) yields: % 89.53/48.30 | (231) ~ (n2 = n1) % 89.53/48.30 | % 89.53/48.30 | From (227) and (225) follows: % 89.53/48.30 | (232) initiates(pull, spinning, n1) % 89.53/48.30 | % 89.53/48.30 +-Applying beta-rule and splitting (214), into two cases. % 89.53/48.30 |-Branch one: % 89.53/48.30 | (233) ~ initiates(pull, spinning, n1) % 89.53/48.30 | % 89.53/48.30 | Using (232) and (233) yields: % 89.53/48.30 | (216) $false % 89.53/48.30 | % 89.53/48.30 |-The branch is then unsatisfiable % 89.53/48.30 |-Branch two: % 89.53/48.30 | (232) initiates(pull, spinning, n1) % 89.53/48.30 | (236) spinning = backwards | happens(push, n1) % 89.53/48.30 | % 89.53/48.30 +-Applying beta-rule and splitting (236), into two cases. % 89.53/48.30 |-Branch one: % 89.53/48.30 | (237) happens(push, n1) % 89.53/48.30 | % 89.53/48.30 +-Applying beta-rule and splitting (229), into two cases. % 89.53/48.30 |-Branch one: % 89.53/48.30 | (238) ~ happens(push, n1) % 89.53/48.30 | % 89.53/48.30 | Using (237) and (238) yields: % 89.53/48.30 | (216) $false % 89.53/48.30 | % 89.53/48.30 |-The branch is then unsatisfiable % 89.53/48.30 |-Branch two: % 89.53/48.30 | (237) happens(push, n1) % 89.53/48.30 | (241) spinning = forwards | pull = push | ~ initiates(push, spinning, n1) % 89.53/48.30 | % 89.53/48.30 +-Applying beta-rule and splitting (228), into two cases. % 89.53/48.30 |-Branch one: % 89.53/48.30 | (238) ~ happens(push, n1) % 89.53/48.30 | % 89.53/48.30 | Using (237) and (238) yields: % 89.53/48.30 | (216) $false % 89.53/48.30 | % 89.53/48.30 |-The branch is then unsatisfiable % 89.53/48.30 |-Branch two: % 89.53/48.30 | (237) happens(push, n1) % 89.53/48.30 | (245) pull = push | ~ initiates(push, spinning, n1) % 89.53/48.30 | % 89.53/48.30 | Instantiating formula (122) with n1, push and discharging atoms happens(push, n1), yields: % 89.53/48.30 | (246) n2 = n1 | pull = push | n1 = n0 % 89.53/48.30 | % 89.53/48.30 +-Applying beta-rule and splitting (246), into two cases. % 89.53/48.30 |-Branch one: % 89.53/48.30 | (247) pull = push % 89.53/48.30 | % 89.53/48.30 | Equations (247) can reduce 51 to: % 89.53/48.30 | (248) $false % 89.53/48.30 | % 89.53/48.30 |-The branch is then unsatisfiable % 89.53/48.30 |-Branch two: % 89.53/48.30 | (51) ~ (pull = push) % 89.53/48.30 | (250) n2 = n1 | n1 = n0 % 89.53/48.30 | % 89.53/48.30 +-Applying beta-rule and splitting (250), into two cases. % 89.53/48.30 |-Branch one: % 89.53/48.30 | (251) n2 = n1 % 89.53/48.30 | % 89.53/48.30 | Equations (251) can reduce 231 to: % 89.53/48.30 | (248) $false % 89.53/48.30 | % 89.53/48.30 |-The branch is then unsatisfiable % 89.53/48.30 |-Branch two: % 89.53/48.30 | (231) ~ (n2 = n1) % 89.53/48.30 | (254) n1 = n0 % 89.53/48.30 | % 89.53/48.30 | Equations (254) can reduce 230 to: % 89.53/48.30 | (255) ~ (n3 = n0) % 89.53/48.30 | % 89.53/48.30 | From (254) and (104) follows: % 89.53/48.30 | (256) plus(n0, n2) = n3 % 89.53/48.30 | % 89.53/48.30 | From (254)(254) and (141) follows: % 89.53/48.30 | (257) plus(n0, n0) = n2 % 89.53/48.30 | % 89.53/48.30 +-Applying beta-rule and splitting (206), into two cases. % 89.53/48.30 |-Branch one: % 89.53/48.30 | (258) ~ (plus(n0, n2) = n3) % 89.53/48.30 | % 89.53/48.30 | Using (256) and (258) yields: % 89.53/48.30 | (216) $false % 89.53/48.30 | % 89.53/48.30 |-The branch is then unsatisfiable % 89.53/48.30 |-Branch two: % 89.53/48.30 | (256) plus(n0, n2) = n3 % 89.53/48.30 | (261) n3 = n2 % 89.53/48.30 | % 89.53/48.30 | Equations (261) can reduce 255 to: % 89.53/48.30 | (208) ~ (n2 = n0) % 89.53/48.30 | % 89.53/48.30 +-Applying beta-rule and splitting (207), into two cases. % 89.53/48.30 |-Branch one: % 89.53/48.30 | (263) ~ (plus(n0, n0) = n2) % 89.53/48.30 | % 89.53/48.30 | Using (257) and (263) yields: % 89.53/48.30 | (216) $false % 89.53/48.30 | % 89.53/48.30 |-The branch is then unsatisfiable % 89.53/48.30 |-Branch two: % 89.53/48.30 | (257) plus(n0, n0) = n2 % 89.53/48.31 | (266) n2 = n0 % 89.53/48.31 | % 89.53/48.31 | Equations (266) can reduce 208 to: % 89.53/48.31 | (248) $false % 89.53/48.31 | % 89.53/48.31 |-The branch is then unsatisfiable % 89.53/48.31 |-Branch two: % 89.53/48.31 | (238) ~ happens(push, n1) % 89.53/48.31 | (269) spinning = backwards % 89.53/48.31 | % 89.53/48.31 | Equations (269) can reduce 134 to: % 89.53/48.31 | (248) $false % 89.53/48.31 | % 89.53/48.31 |-The branch is then unsatisfiable % 89.53/48.31 |-Branch two: % 89.53/48.31 | (220) holdsAt(spinning, n1) % 89.53/48.31 | (272) releasedAt(spinning, n1) | ? [v0] : (initiates(v0, spinning, n0) & happens(v0, n0)) % 89.53/48.31 | % 89.53/48.31 | Using (220) and (129) yields: % 89.53/48.31 | (273) ~ (n1 = n0) % 89.53/48.31 | % 89.53/48.31 +-Applying beta-rule and splitting (272), into two cases. % 89.53/48.31 |-Branch one: % 89.53/48.31 | (274) releasedAt(spinning, n1) % 89.53/48.31 | % 89.53/48.31 | Instantiating formula (191) with n1, spinning and discharging atoms releasedAt(spinning, n1), yields: % 89.53/48.31 | (216) $false % 89.53/48.31 | % 89.53/48.31 |-The branch is then unsatisfiable % 89.53/48.31 |-Branch two: % 89.53/48.31 | (276) ~ releasedAt(spinning, n1) % 89.53/48.31 | (277) ? [v0] : (initiates(v0, spinning, n0) & happens(v0, n0)) % 89.53/48.31 | % 89.53/48.31 | Instantiating (277) with all_579_0_66 yields: % 89.53/48.31 | (278) initiates(all_579_0_66, spinning, n0) & happens(all_579_0_66, n0) % 89.53/48.31 | % 89.53/48.31 | Applying alpha-rule on (278) yields: % 89.53/48.31 | (279) initiates(all_579_0_66, spinning, n0) % 89.53/48.31 | (280) happens(all_579_0_66, n0) % 89.53/48.31 | % 89.53/48.31 | Instantiating formula (24) with n0, spinning, all_579_0_66 and discharging atoms initiates(all_579_0_66, spinning, n0), yields: % 89.53/48.31 | (281) all_579_0_66 = pull | spinning = forwards % 89.53/48.31 | % 89.53/48.31 | Instantiating formula (34) with n0, all_579_0_66 and discharging atoms happens(all_579_0_66, n0), yields: % 89.53/48.31 | (282) all_579_0_66 = push | n2 = n0 | n1 = n0 % 89.53/48.31 | % 89.53/48.31 +-Applying beta-rule and splitting (281), into two cases. % 89.53/48.31 |-Branch one: % 89.53/48.31 | (283) all_579_0_66 = pull % 89.53/48.31 | % 89.53/48.31 +-Applying beta-rule and splitting (282), into two cases. % 89.53/48.31 |-Branch one: % 89.53/48.31 | (284) all_579_0_66 = push % 89.53/48.31 | % 89.53/48.31 | Combining equations (284,283) yields a new equation: % 89.53/48.31 | (247) pull = push % 89.53/48.31 | % 89.53/48.31 | Equations (247) can reduce 51 to: % 89.53/48.31 | (248) $false % 89.53/48.31 | % 89.53/48.31 |-The branch is then unsatisfiable % 89.53/48.31 |-Branch two: % 89.53/48.31 | (287) ~ (all_579_0_66 = push) % 89.53/48.31 | (288) n2 = n0 | n1 = n0 % 89.53/48.31 | % 89.53/48.31 +-Applying beta-rule and splitting (288), into two cases. % 89.53/48.31 |-Branch one: % 89.53/48.31 | (254) n1 = n0 % 89.53/48.31 | % 89.53/48.31 | Equations (254) can reduce 273 to: % 89.53/48.31 | (248) $false % 89.53/48.31 | % 89.53/48.31 |-The branch is then unsatisfiable % 89.53/48.31 |-Branch two: % 89.53/48.31 | (273) ~ (n1 = n0) % 89.53/48.31 | (266) n2 = n0 % 89.53/48.31 | % 89.53/48.31 | Equations (266) can reduce 208 to: % 89.53/48.31 | (248) $false % 89.53/48.31 | % 89.53/48.31 |-The branch is then unsatisfiable % 89.53/48.31 |-Branch two: % 89.53/48.31 | (294) ~ (all_579_0_66 = pull) % 89.53/48.31 | (295) spinning = forwards % 89.53/48.31 | % 89.53/48.31 | Equations (295) can reduce 107 to: % 89.53/48.31 | (248) $false % 89.53/48.31 | % 89.53/48.31 |-The branch is then unsatisfiable % 89.53/48.31 % SZS output end Proof for theBenchmark % 89.53/48.31 % 89.53/48.31 47610ms %------------------------------------------------------------------------------