%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR021+1 : TPTP v8.1.2. Bugfixed v3.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%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 : 300s % DateTime : Wed Aug 30 21:36:25 EDT 2023 % Result : Theorem 16.68s 2.95s % Output : Proof 18.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR021+1 : TPTP v8.1.2. Bugfixed v3.1.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Mon Aug 28 09:19:39 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.88/1.22 Prover 1: Preprocessing ... % 3.88/1.22 Prover 4: Preprocessing ... % 3.88/1.26 Prover 0: Preprocessing ... % 3.88/1.26 Prover 5: Preprocessing ... % 3.88/1.26 Prover 3: Preprocessing ... % 3.88/1.27 Prover 2: Preprocessing ... % 3.88/1.27 Prover 6: Preprocessing ... % 8.30/1.84 Prover 5: Proving ... % 9.00/1.94 Prover 1: Constructing countermodel ... % 9.00/1.94 Prover 3: Constructing countermodel ... % 9.65/2.01 Prover 6: Proving ... % 9.65/2.09 Prover 1: gave up % 9.65/2.09 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 10.39/2.11 Prover 4: Constructing countermodel ... % 10.39/2.11 Prover 3: gave up % 10.39/2.12 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.39/2.14 Prover 0: Proving ... % 10.39/2.15 Prover 7: Preprocessing ... % 10.39/2.16 Prover 8: Preprocessing ... % 10.39/2.20 Prover 6: gave up % 10.84/2.22 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 11.56/2.25 Prover 9: Preprocessing ... % 11.97/2.35 Prover 8: Warning: ignoring some quantifiers % 12.32/2.37 Prover 8: Constructing countermodel ... % 13.35/2.54 Prover 2: Proving ... % 13.82/2.58 Prover 8: gave up % 13.82/2.59 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 13.82/2.60 Prover 7: Warning: ignoring some quantifiers % 14.15/2.64 Prover 7: Constructing countermodel ... % 14.15/2.65 Prover 9: Constructing countermodel ... % 14.49/2.67 Prover 10: Preprocessing ... % 16.68/2.95 Prover 2: proved (2310ms) % 16.68/2.95 % 16.68/2.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 16.68/2.95 % 16.68/2.95 Prover 9: stopped % 16.73/2.96 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 16.73/2.96 Prover 5: stopped % 16.73/2.96 Prover 0: stopped % 16.73/2.97 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 16.73/2.97 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 16.73/2.98 Prover 7: Found proof (size 14) % 16.73/2.98 Prover 7: proved (892ms) % 16.73/2.98 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 16.73/2.98 Prover 4: stopped % 16.73/2.98 Prover 10: Warning: ignoring some quantifiers % 16.73/2.99 Prover 11: Preprocessing ... % 16.73/3.00 Prover 13: Preprocessing ... % 16.73/3.00 Prover 16: Preprocessing ... % 16.73/3.00 Prover 10: Constructing countermodel ... % 17.08/3.01 Prover 10: stopped % 17.08/3.03 Prover 13: stopped % 17.08/3.03 Prover 16: stopped % 17.08/3.04 Prover 19: Preprocessing ... % 17.37/3.05 Prover 11: stopped % 17.82/3.14 Prover 19: Warning: ignoring some quantifiers % 17.82/3.15 Prover 19: Constructing countermodel ... % 17.82/3.16 Prover 19: stopped % 17.82/3.16 % 17.82/3.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 17.82/3.16 % 17.82/3.16 % SZS output start Proof for theBenchmark % 17.82/3.17 Assumptions after simplification: % 17.82/3.17 --------------------------------- % 17.82/3.17 % 17.82/3.17 (happens_all_defn) % 17.82/3.18 $i(n2) & $i(pull) & $i(push) & $i(n1) & $i(n0) & happens(pull, n2) & % 17.82/3.18 happens(pull, n1) & happens(push, n2) & happens(push, n0) & ! [v0: $i] : ! % 17.82/3.18 [v1: $i] : (v1 = n2 | v1 = n1 | v1 = n0 | v0 = pull | ~ $i(v1) | ~ $i(v0) | % 17.82/3.18 ~ happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v1 = n1 | v1 = % 17.82/3.18 n0 | v0 = push | ~ $i(v1) | ~ $i(v0) | ~ happens(v0, v1)) & ! [v0: $i] : % 17.82/3.18 ! [v1: $i] : (v1 = n2 | v1 = n1 | v1 = n0 | ~ $i(v1) | ~ $i(v0) | ~ % 17.82/3.18 happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v1 = n1 | v0 = % 17.82/3.18 pull | v0 = push | ~ $i(v1) | ~ $i(v0) | ~ happens(v0, v1)) & ! [v0: $i] % 17.82/3.18 : ! [v1: $i] : (v1 = n2 | v1 = n1 | v0 = push | ~ $i(v1) | ~ $i(v0) | ~ % 17.82/3.18 happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v1 = n0 | v0 = % 17.82/3.18 pull | v0 = push | ~ $i(v1) | ~ $i(v0) | ~ happens(v0, v1)) & ! [v0: $i] % 17.82/3.18 : ! [v1: $i] : (v1 = n2 | v1 = n0 | v0 = pull | ~ $i(v1) | ~ $i(v0) | ~ % 17.82/3.18 happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v1 = n2 | v0 = pull | v0 = % 17.82/3.18 push | ~ $i(v1) | ~ $i(v0) | ~ happens(v0, v1)) & ! [v0: $i] : ! [v1: % 17.82/3.18 $i] : (v1 = n1 | v1 = n0 | v0 = pull | v0 = push | ~ $i(v1) | ~ $i(v0) | % 17.82/3.18 ~ happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v1 = n1 | v0 = pull | v0 = % 17.82/3.18 push | ~ $i(v1) | ~ $i(v0) | ~ happens(v0, v1)) & ! [v0: $i] : ! [v1: % 17.82/3.18 $i] : (v1 = n0 | v0 = pull | v0 = push | ~ $i(v1) | ~ $i(v0) | ~ % 17.82/3.18 happens(v0, v1)) & ! [v0: $i] : ! [v1: $i] : (v0 = pull | v0 = push | ~ % 17.82/3.18 $i(v1) | ~ $i(v0) | ~ happens(v0, v1)) % 17.82/3.18 % 17.82/3.18 (happens_terminates_not_holds) % 18.07/3.20 $i(n1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (plus(v1, % 18.07/3.20 n1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ holdsAt(v2, v3) | ~ % 18.07/3.20 terminates(v0, v2, v1) | ~ happens(v0, v1)) % 18.07/3.20 % 18.07/3.20 (less2) % 18.07/3.20 $i(n2) & $i(n1) & ! [v0: $i] : ( ~ $i(v0) | ~ less_or_equal(v0, n1) | % 18.07/3.20 less(v0, n2)) & ! [v0: $i] : ( ~ $i(v0) | ~ less(v0, n2) | % 18.07/3.20 less_or_equal(v0, n1)) % 18.07/3.20 % 18.07/3.20 (less3) % 18.07/3.20 $i(n3) & $i(n2) & ! [v0: $i] : ( ~ $i(v0) | ~ less_or_equal(v0, n2) | % 18.07/3.20 less(v0, n3)) & ! [v0: $i] : ( ~ $i(v0) | ~ less(v0, n3) | % 18.07/3.20 less_or_equal(v0, n2)) % 18.07/3.20 % 18.07/3.20 (not_backwards_3) % 18.07/3.20 $i(n3) & $i(backwards) & holdsAt(backwards, n3) % 18.07/3.20 % 18.07/3.20 (plus1_2) % 18.07/3.20 plus(n1, n2) = n3 & $i(n3) & $i(n2) & $i(n1) % 18.07/3.20 % 18.07/3.20 (push_not_pull) % 18.07/3.21 ~ (pull = push) & $i(pull) & $i(push) % 18.07/3.21 % 18.07/3.21 (symmetry_of_plus) % 18.07/3.21 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (plus(v1, v0) = v2) | ~ $i(v1) % 18.07/3.21 | ~ $i(v0) | (plus(v0, v1) = v2 & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ! % 18.07/3.21 [v2: $i] : ( ~ (plus(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | (plus(v1, v0) = % 18.07/3.21 v2 & $i(v2))) % 18.07/3.21 % 18.07/3.21 (terminates_all_defn) % 18.37/3.26 $i(spinning) & $i(backwards) & $i(pull) & $i(forwards) & $i(push) & ! [v0: % 18.37/3.26 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = % 18.37/3.26 forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 18.37/3.26 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : % 18.37/3.26 ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 % 18.37/3.26 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.26 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.26 spinning | v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ % 18.37/3.26 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, % 18.37/3.26 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = % 18.37/3.26 backwards | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | % 18.37/3.26 ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 18.37/3.26 $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ % 18.37/3.26 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.26 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! % 18.37/3.26 [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ % 18.37/3.26 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.26 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 18.37/3.26 $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ % 18.37/3.27 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ $i(v2) | ~ % 18.37/3.27 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! % 18.37/3.27 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = % 18.37/3.27 forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, % 18.37/3.27 v1, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 18.37/3.27 (v1 = spinning | v1 = backwards | v1 = forwards | v0 = pull | ~ $i(v2) | ~ % 18.37/3.27 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1: $i] % 18.37/3.27 : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | % 18.37/3.27 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! % 18.37/3.27 [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ % 18.37/3.27 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 18.37/3.27 $i] : (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ % 18.37/3.27 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = backwards | v1 = forwards | v0 = push | ~ $i(v2) | ~ % 18.37/3.27 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! % 18.37/3.27 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = % 18.37/3.27 forwards | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, % 18.37/3.27 v1, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 18.37/3.27 (v1 = spinning | v1 = backwards | v1 = forwards | v0 = push | ~ $i(v2) | ~ % 18.37/3.27 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1: $i] % 18.37/3.27 : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ $i(v2) | % 18.37/3.27 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = backwards | v1 = forwards | ~ $i(v2) | ~ $i(v1) | ~ % 18.37/3.27 $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, % 18.37/3.27 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = % 18.37/3.27 backwards | v1 = forwards | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 18.37/3.27 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : % 18.37/3.27 ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = forwards | ~ $i(v2) | ~ % 18.37/3.27 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! % 18.37/3.27 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v1 = % 18.37/3.27 forwards | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = backwards | v1 = forwards | ~ $i(v2) | ~ $i(v1) | ~ % 18.37/3.27 $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 18.37/3.27 $i] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ $i(v2) | % 18.37/3.27 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | % 18.37/3.27 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, % 18.37/3.27 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = % 18.37/3.27 backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 18.37/3.27 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : % 18.37/3.27 ! [v2: $i] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = push | ~ % 18.37/3.27 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | % 18.37/3.27 ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0: $i] : ! % 18.37/3.27 [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v0 = pull | v0 = % 18.37/3.27 push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! % 18.37/3.27 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v0 = % 18.37/3.27 pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! % 18.37/3.27 [v2: $i] : (v1 = spinning | v1 = backwards | v0 = pull | ~ $i(v2) | ~ $i(v1) % 18.37/3.27 | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = backwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 18.37/3.27 ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] % 18.37/3.27 : ! [v2: $i] : (v1 = spinning | v1 = backwards | v0 = pull | ~ $i(v2) | ~ % 18.37/3.27 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! % 18.37/3.27 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = backwards | v0 = % 18.37/3.27 pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = backwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 18.37/3.27 ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | % 18.37/3.27 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | % 18.37/3.27 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, % 18.37/3.27 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = % 18.37/3.27 forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 18.37/3.27 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : % 18.37/3.27 ! [v2: $i] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = push | ~ % 18.37/3.27 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | % 18.37/3.27 ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0: $i] : ! % 18.37/3.27 [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = forwards | v0 = pull | v0 = % 18.37/3.27 push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! % 18.37/3.27 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v1 = forwards | v0 = % 18.37/3.27 pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! % 18.37/3.27 [v2: $i] : (v1 = spinning | v1 = forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) % 18.37/3.27 | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 18.37/3.27 ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] % 18.37/3.27 : ! [v2: $i] : (v1 = spinning | v1 = forwards | v0 = push | ~ $i(v2) | ~ % 18.37/3.27 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v1 = forwards | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 18.37/3.27 ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : % 18.37/3.27 ! [v2: $i] : (v1 = spinning | v1 = forwards | ~ $i(v2) | ~ $i(v1) | ~ % 18.37/3.27 $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, % 18.37/3.27 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v0 = % 18.37/3.27 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, % 18.37/3.27 v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: % 18.37/3.27 $i] : ! [v2: $i] : (v1 = spinning | v0 = pull | v0 = push | ~ $i(v2) | ~ % 18.37/3.27 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 spinning | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 18.37/3.27 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : % 18.37/3.27 ! [v2: $i] : (v1 = spinning | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | % 18.37/3.27 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0: $i] % 18.37/3.27 : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v0 = pull | v0 = push | ~ % 18.37/3.27 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, % 18.37/3.27 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v0 = % 18.37/3.27 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, % 18.37/3.27 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v0 = % 18.37/3.27 pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! % 18.37/3.27 [v2: $i] : (v1 = spinning | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 18.37/3.27 terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0: % 18.37/3.27 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = spinning | v0 = pull | ~ $i(v2) | % 18.37/3.27 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & % 18.37/3.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0 % 18.37/3.27 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, % 18.37/3.27 v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! % 18.37/3.27 [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = % 18.37/3.27 push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 18.37/3.27 $i] : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | % 18.37/3.27 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & % 18.37/3.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0 % 18.37/3.27 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, % 18.37/3.27 v1, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 18.37/3.27 : (v1 = backwards | v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ % 18.37/3.27 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! % 18.37/3.27 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0 = % 18.37/3.27 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, % 18.37/3.27 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = % 18.37/3.27 forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, % 18.37/3.27 v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! % 18.37/3.27 [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0 = pull | ~ % 18.37/3.27 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 18.37/3.27 $i] : (v1 = backwards | v1 = forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | % 18.37/3.27 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : % 18.37/3.27 ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | v0 = push | ~ % 18.37/3.27 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! % 18.37/3.27 [v2: $i] : (v1 = backwards | v1 = forwards | v0 = push | ~ $i(v2) | ~ $i(v1) % 18.37/3.27 | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0: % 18.37/3.27 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v1 = forwards | ~ % 18.37/3.27 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! % 18.37/3.27 [v2: $i] : (v1 = backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | % 18.37/3.27 ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 18.37/3.27 terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0: % 18.37/3.27 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v0 = pull | v0 = push | % 18.37/3.27 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 18.37/3.27 terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : % 18.37/3.27 ! [v2: $i] : (v1 = backwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) % 18.37/3.27 | ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0: $i] : % 18.37/3.27 ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v0 = pull | v0 = push | ~ % 18.37/3.27 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] : % 18.37/3.27 ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v0 = pull | ~ $i(v2) | ~ $i(v1) % 18.37/3.27 | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 18.37/3.27 backwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 18.37/3.27 terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, v2)) & ! [v0: % 18.37/3.27 $i] : ! [v1: $i] : ! [v2: $i] : (v1 = backwards | v0 = pull | ~ $i(v2) | % 18.37/3.27 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2)) & % 18.37/3.27 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = forwards | v0 = pull | v0 = % 18.37/3.27 push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! % 18.37/3.27 [v2: $i] : (v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ % 18.37/3.27 $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | happens(push, % 18.37/3.27 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = forwards | v0 = % 18.37/3.27 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, % 18.37/3.27 v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 18.37/3.27 (v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 18.37/3.27 ~ terminates(v0, v1, v2) | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] % 18.37/3.27 : ! [v2: $i] : (v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) % 18.37/3.27 | ~ $i(v0) | ~ terminates(v0, v1, v2) | happens(push, v2)) & ! [v0: $i] : % 18.37/3.27 ! [v1: $i] : ! [v2: $i] : (v1 = forwards | v0 = pull | v0 = push | ~ $i(v2) % 18.37/3.27 | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2)) & ! [v0: $i] : ! [v1: % 18.37/3.27 $i] : ! [v2: $i] : (v1 = forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ % 18.37/3.27 $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, % 18.37/3.27 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = forwards | v0 = % 18.37/3.27 pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 18.37/3.27 $i] : (v1 = forwards | v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 18.37/3.27 terminates(v0, v1, v2) | ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : % 18.37/3.27 ! [v2: $i] : (v0 = pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 18.37/3.27 terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ happens(push, v2)) & ! % 18.37/3.27 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = pull | v0 = push | ~ $i(v2) | ~ % 18.37/3.27 $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = pull | % 18.37/3.27 v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | % 18.37/3.27 ~ happens(pull, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = pull % 18.37/3.27 | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) % 18.37/3.27 | ~ happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = % 18.37/3.27 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, % 18.37/3.27 v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = % 18.37/3.27 pull | v0 = push | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, % 18.37/3.27 v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = pull | ~ $i(v2) | % 18.37/3.27 ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ happens(pull, v2) | ~ % 18.37/3.27 happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v0 = pull | % 18.37/3.27 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, v2) | ~ % 18.37/3.27 happens(pull, v2) | happens(push, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 18.37/3.27 $i] : (v0 = pull | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ terminates(v0, v1, % 18.37/3.27 v2) | ~ happens(pull, v2)) & ! [v0: $i] : ( ~ $i(v0) | ~ happens(push, % 18.37/3.27 v0) | terminates(pull, backwards, v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 18.37/3.27 happens(push, v0) | terminates(pull, forwards, v0)) & ? [v0: $i] : ( ~ % 18.37/3.27 $i(v0) | terminates(pull, spinning, v0) | happens(push, v0)) & ? [v0: $i] : % 18.37/3.27 ( ~ $i(v0) | terminates(pull, forwards, v0) | happens(push, v0)) & ? [v0: $i] % 18.37/3.27 : ( ~ $i(v0) | terminates(push, spinning, v0) | happens(pull, v0)) & ? [v0: % 18.37/3.27 $i] : ( ~ $i(v0) | terminates(push, backwards, v0) | happens(pull, v0)) % 18.37/3.27 % 18.37/3.27 Further assumptions not needed in the proof: % 18.37/3.27 -------------------------------------------- % 18.37/3.27 antitrajectory, change_holding, forwards_not_backwards, forwards_not_spinning, % 18.37/3.27 happens_holds, happens_not_released, happens_releases, initiates_all_defn, % 18.37/3.27 keep_holding, keep_not_holding, keep_not_released, keep_released, less0, less1, % 18.37/3.27 less4, less5, less6, less7, less8, less9, less_or_equal, less_property, % 18.37/3.27 not_backwards_0, not_forwards_0, not_releasedAt, not_splinning_0, plus0_0, % 18.37/3.27 plus0_1, plus0_2, plus0_3, plus1_1, plus1_3, plus2_2, plus2_3, plus3_3, % 18.37/3.27 releases_all_defn, spinning_not_backwards, startedin_defn, stoppedin_defn % 18.37/3.27 % 18.37/3.27 Those formulas are unsatisfiable: % 18.37/3.27 --------------------------------- % 18.37/3.27 % 18.37/3.27 Begin of proof % 18.37/3.27 | % 18.37/3.27 | ALPHA: (happens_terminates_not_holds) implies: % 18.37/3.27 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (plus(v1, % 18.37/3.27 | n1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ holdsAt(v2, % 18.37/3.27 | v3) | ~ terminates(v0, v2, v1) | ~ happens(v0, v1)) % 18.37/3.27 | % 18.37/3.27 | ALPHA: (terminates_all_defn) implies: % 18.37/3.27 | (2) ! [v0: $i] : ( ~ $i(v0) | ~ happens(push, v0) | terminates(pull, % 18.37/3.27 | backwards, v0)) % 18.37/3.27 | % 18.37/3.28 | ALPHA: (happens_all_defn) implies: % 18.37/3.28 | (3) happens(push, n2) % 18.37/3.28 | (4) happens(pull, n2) % 18.37/3.28 | % 18.37/3.28 | ALPHA: (push_not_pull) implies: % 18.37/3.28 | (5) $i(pull) % 18.37/3.28 | % 18.37/3.28 | ALPHA: (plus1_2) implies: % 18.37/3.28 | (6) plus(n1, n2) = n3 % 18.37/3.28 | % 18.37/3.28 | ALPHA: (symmetry_of_plus) implies: % 18.37/3.28 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (plus(v1, v0) = v2) | ~ % 18.37/3.28 | $i(v1) | ~ $i(v0) | (plus(v0, v1) = v2 & $i(v2))) % 18.37/3.28 | % 18.37/3.28 | ALPHA: (less2) implies: % 18.37/3.28 | (8) $i(n1) % 18.37/3.28 | % 18.37/3.28 | ALPHA: (less3) implies: % 18.37/3.28 | (9) $i(n2) % 18.37/3.28 | % 18.37/3.28 | ALPHA: (not_backwards_3) implies: % 18.37/3.28 | (10) holdsAt(backwards, n3) % 18.37/3.28 | (11) $i(backwards) % 18.37/3.28 | % 18.37/3.28 | GROUND_INST: instantiating (2) with n2, simplifying with (3), (9) gives: % 18.37/3.28 | (12) terminates(pull, backwards, n2) % 18.37/3.28 | % 18.37/3.28 | GROUND_INST: instantiating (7) with n2, n1, n3, simplifying with (6), (8), (9) % 18.37/3.28 | gives: % 18.37/3.28 | (13) plus(n2, n1) = n3 & $i(n3) % 18.37/3.28 | % 18.37/3.28 | ALPHA: (13) implies: % 18.37/3.28 | (14) plus(n2, n1) = n3 % 18.37/3.28 | % 18.37/3.28 | GROUND_INST: instantiating (1) with pull, n2, backwards, n3, simplifying with % 18.37/3.28 | (4), (5), (9), (10), (11), (12), (14) gives: % 18.37/3.28 | (15) $false % 18.37/3.28 | % 18.37/3.28 | CLOSE: (15) is inconsistent. % 18.37/3.28 | % 18.37/3.28 End of proof % 18.37/3.28 % SZS output end Proof for theBenchmark % 18.37/3.28 % 18.37/3.28 2672ms %------------------------------------------------------------------------------