%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : PRO009+4 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Thu Aug 31 13:08:47 EDT 2023 % Result : Theorem 12.19s 3.60s % Output : Proof 32.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : PRO009+4 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.09/0.30 % Computer : n019.cluster.edu % 0.09/0.30 % Model : x86_64 x86_64 % 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.30 % Memory : 8042.1875MB % 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.30 % CPULimit : 300 % 0.09/0.30 % WCLimit : 300 % 0.09/0.30 % DateTime : Mon Aug 28 19:32:28 EDT 2023 % 0.09/0.31 % CPUTime : % 0.12/0.58 ________ _____ % 0.12/0.58 ___ __ \_________(_)________________________________ % 0.12/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.12/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.12/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.12/0.58 % 0.12/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.12/0.58 (2023-06-19) % 0.12/0.58 % 0.12/0.58 (c) Philipp Rümmer, 2009-2023 % 0.12/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.12/0.58 Amanda Stjerna. % 0.12/0.58 Free software under BSD-3-Clause. % 0.12/0.58 % 0.12/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.12/0.58 % 0.12/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.12/0.60 Running up to 7 provers in parallel. % 0.12/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.12/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.12/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.12/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.12/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.12/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.12/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 2.28/1.22 Prover 1: Preprocessing ... % 2.28/1.22 Prover 4: Preprocessing ... % 2.63/1.38 Prover 6: Preprocessing ... % 2.63/1.38 Prover 5: Preprocessing ... % 2.63/1.38 Prover 0: Preprocessing ... % 2.63/1.38 Prover 2: Preprocessing ... % 2.63/1.38 Prover 3: Preprocessing ... % 5.52/2.06 Prover 2: Constructing countermodel ... % 5.52/2.08 Prover 5: Proving ... % 6.41/2.29 Prover 6: Proving ... % 6.87/2.35 Prover 1: Constructing countermodel ... % 6.87/2.36 Prover 3: Constructing countermodel ... % 8.37/2.68 Prover 4: Constructing countermodel ... % 8.86/2.79 Prover 0: Proving ... % 12.19/3.59 Prover 5: proved (2975ms) % 12.19/3.59 % 12.19/3.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.19/3.60 % 12.19/3.62 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.19/3.62 Prover 3: stopped % 12.19/3.62 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.19/3.63 Prover 6: stopped % 12.19/3.65 Prover 2: stopped % 12.19/3.65 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.19/3.65 Prover 0: stopped % 12.19/3.66 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.19/3.67 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.19/3.72 Prover 8: Preprocessing ... % 13.22/3.74 Prover 7: Preprocessing ... % 13.22/3.75 Prover 10: Preprocessing ... % 13.22/3.75 Prover 13: Preprocessing ... % 13.40/3.79 Prover 11: Preprocessing ... % 13.95/3.91 Prover 7: Constructing countermodel ... % 13.95/3.93 Prover 10: Constructing countermodel ... % 14.29/3.96 Prover 13: Constructing countermodel ... % 14.29/3.98 Prover 8: Warning: ignoring some quantifiers % 14.29/3.99 Prover 8: Constructing countermodel ... % 15.58/4.33 Prover 11: Constructing countermodel ... % 32.00/7.48 Prover 7: Found proof (size 76) % 32.00/7.48 Prover 7: proved (3859ms) % 32.00/7.48 Prover 10: stopped % 32.00/7.48 Prover 13: stopped % 32.00/7.48 Prover 11: stopped % 32.00/7.48 Prover 1: stopped % 32.00/7.48 Prover 8: stopped % 32.00/7.48 Prover 4: stopped % 32.00/7.48 % 32.00/7.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 32.00/7.48 % 32.00/7.49 % SZS output start Proof for theBenchmark % 32.00/7.50 Assumptions after simplification: % 32.00/7.50 --------------------------------- % 32.00/7.50 % 32.00/7.50 (goals) % 32.00/7.51 $i(tptp1) & $i(tptp2) & $i(tptp3) & $i(tptp0) & ? [v0: $i] : ($i(v0) & % 32.00/7.51 occurrence_of(v0, tptp0) & ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ % 32.00/7.51 $i(v1) | ~ min_precedes(v1, v2, tptp0) | ~ leaf_occ(v2, v0) | ~ % 32.00/7.51 root_occ(v1, v0) | ~ occurrence_of(v2, tptp1) | ~ occurrence_of(v1, % 32.00/7.51 tptp3)) & ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 32.00/7.51 min_precedes(v1, v2, tptp0) | ~ leaf_occ(v2, v0) | ~ root_occ(v1, v0) | % 32.00/7.51 ~ occurrence_of(v2, tptp2) | ~ occurrence_of(v1, tptp3))) % 32.00/7.51 % 32.00/7.51 (sos) % 32.00/7.51 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ occurrence_of(v1, v0) % 32.00/7.51 | atomic(v0) | ? [v2: $i] : ($i(v2) & subactivity_occurrence(v2, v1) & % 32.00/7.51 root(v2, v0))) % 32.00/7.51 % 32.00/7.51 (sos_02) % 32.00/7.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~ $i(v3) | % 32.00/7.52 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ arboreal(v2) | ~ leaf_occ(v3, v1) | % 32.00/7.52 ~ subactivity_occurrence(v2, v1) | ~ occurrence_of(v1, v0) | % 32.00/7.52 min_precedes(v2, v3, v0)) % 32.00/7.52 % 32.00/7.52 (sos_03) % 32.00/7.52 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ occurrence_of(v1, v0) % 32.00/7.52 | activity_occurrence(v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 32.00/7.52 $i(v0) | ~ occurrence_of(v1, v0) | activity(v0)) % 32.00/7.52 % 32.00/7.52 (sos_05) % 32.00/7.52 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ root(v1, v0) | ? [v2: % 32.00/7.52 $i] : ($i(v2) & atocc(v1, v2) & subactivity(v2, v0))) % 32.00/7.52 % 32.00/7.52 (sos_08) % 32.00/7.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ $i(v2) | ~ $i(v1) | % 32.00/7.52 ~ $i(v0) | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1)) % 32.00/7.52 % 32.00/7.52 (sos_09) % 32.00/7.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 32.00/7.52 | ~ $i(v1) | ~ $i(v0) | ~ min_precedes(v1, v3, v2) | ~ leaf_occ(v1, v0) % 32.00/7.52 | ~ occurrence_of(v0, v2)) % 32.00/7.52 % 32.00/7.52 (sos_11) % 32.00/7.53 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 32.00/7.53 subactivity_occurrence(v0, v1) | activity_occurrence(v1)) & ! [v0: $i] : ! % 32.00/7.53 [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ subactivity_occurrence(v0, v1) | % 32.00/7.53 activity_occurrence(v0)) % 32.00/7.53 % 32.00/7.53 (sos_12) % 32.00/7.53 ! [v0: $i] : ( ~ $i(v0) | ~ activity_occurrence(v0) | ? [v1: $i] : ($i(v1) % 32.00/7.53 & activity(v1) & occurrence_of(v0, v1))) % 32.00/7.53 % 32.00/7.53 (sos_14) % 32.00/7.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 32.00/7.53 ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | % 32.00/7.53 atocc(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 32.00/7.53 atocc(v0, v1) | ? [v2: $i] : ($i(v2) & subactivity(v1, v2) & atomic(v2) & % 32.00/7.53 occurrence_of(v0, v2))) % 32.00/7.53 % 32.00/7.53 (sos_19) % 32.49/7.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 32.49/7.54 ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, % 32.49/7.54 v2) | root_occ(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 32.49/7.54 $i(v0) | ~ root_occ(v0, v1) | ? [v2: $i] : ($i(v2) & % 32.49/7.54 subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2))) % 32.49/7.54 % 32.49/7.54 (sos_25) % 32.49/7.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 32.49/7.54 ~ next_subocc(v0, v1, v2) | arboreal(v1)) & ! [v0: $i] : ! [v1: $i] : ! % 32.49/7.54 [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ next_subocc(v0, v1, v2) | % 32.49/7.54 arboreal(v0)) % 32.49/7.54 % 32.49/7.54 (sos_26) % 32.49/7.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 32.49/7.54 | ~ $i(v1) | ~ $i(v0) | ~ next_subocc(v0, v1, v2) | ~ min_precedes(v3, % 32.49/7.54 v1, v2) | ~ min_precedes(v0, v3, v2)) & ! [v0: $i] : ! [v1: $i] : ! % 32.49/7.54 [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ next_subocc(v0, v1, v2) | % 32.49/7.54 min_precedes(v0, v1, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 32.49/7.54 $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ min_precedes(v0, v1, v2) | % 32.49/7.54 next_subocc(v0, v1, v2) | ? [v3: $i] : ($i(v3) & min_precedes(v3, v1, v2) & % 32.49/7.54 min_precedes(v0, v3, v2))) % 32.49/7.54 % 32.49/7.54 (sos_29) % 32.49/7.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ $i(v3) | % 32.49/7.54 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ root_occ(v1, v2) | ~ root_occ(v0, % 32.49/7.54 v2) | ~ occurrence_of(v2, v3)) % 32.49/7.54 % 32.49/7.54 (sos_32) % 32.49/7.54 $i(tptp1) & $i(tptp2) & $i(tptp4) & $i(tptp3) & $i(tptp0) & ! [v0: $i] : ( ~ % 32.49/7.54 $i(v0) | ~ occurrence_of(v0, tptp0) | ? [v1: $i] : ? [v2: $i] : ? [v3: % 32.49/7.54 $i] : ($i(v3) & $i(v2) & $i(v1) & next_subocc(v2, v3, tptp0) & % 32.49/7.54 next_subocc(v1, v2, tptp0) & leaf_occ(v3, v0) & root_occ(v1, v0) & % 32.49/7.54 occurrence_of(v2, tptp4) & occurrence_of(v1, tptp3) & (occurrence_of(v3, % 32.49/7.54 tptp1) | occurrence_of(v3, tptp2)))) % 32.49/7.54 % 32.49/7.54 (sos_34) % 32.49/7.54 $i(tptp0) & ~ atomic(tptp0) % 32.49/7.54 % 32.49/7.54 (sos_39) % 32.49/7.55 ~ (tptp4 = tptp3) & $i(tptp4) & $i(tptp3) % 32.49/7.55 % 32.49/7.55 Further assumptions not needed in the proof: % 32.49/7.55 -------------------------------------------- % 32.49/7.55 sos_01, sos_04, sos_06, sos_07, sos_10, sos_13, sos_15, sos_16, sos_17, sos_18, % 32.49/7.55 sos_20, sos_21, sos_22, sos_23, sos_24, sos_27, sos_28, sos_30, sos_31, sos_33, % 32.49/7.55 sos_35, sos_36, sos_37, sos_38, sos_40, sos_41, sos_42, sos_43, sos_44 % 32.49/7.55 % 32.49/7.55 Those formulas are unsatisfiable: % 32.49/7.55 --------------------------------- % 32.49/7.55 % 32.49/7.55 Begin of proof % 32.49/7.55 | % 32.49/7.55 | ALPHA: (goals) implies: % 32.49/7.55 | (1) ? [v0: $i] : ($i(v0) & occurrence_of(v0, tptp0) & ! [v1: $i] : ! % 32.49/7.55 | [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ min_precedes(v1, v2, tptp0) | % 32.49/7.55 | ~ leaf_occ(v2, v0) | ~ root_occ(v1, v0) | ~ occurrence_of(v2, % 32.49/7.55 | tptp1) | ~ occurrence_of(v1, tptp3)) & ! [v1: $i] : ! [v2: $i] % 32.49/7.55 | : ( ~ $i(v2) | ~ $i(v1) | ~ min_precedes(v1, v2, tptp0) | ~ % 32.49/7.55 | leaf_occ(v2, v0) | ~ root_occ(v1, v0) | ~ occurrence_of(v2, % 32.49/7.55 | tptp2) | ~ occurrence_of(v1, tptp3))) % 32.49/7.55 | % 32.49/7.55 | ALPHA: (sos_39) implies: % 32.49/7.55 | (2) ~ (tptp4 = tptp3) % 32.49/7.55 | % 32.49/7.55 | ALPHA: (sos_34) implies: % 32.49/7.55 | (3) ~ atomic(tptp0) % 32.49/7.55 | % 32.49/7.55 | ALPHA: (sos_32) implies: % 32.49/7.55 | (4) $i(tptp0) % 32.49/7.55 | (5) $i(tptp3) % 32.49/7.55 | (6) $i(tptp4) % 32.49/7.55 | (7) ! [v0: $i] : ( ~ $i(v0) | ~ occurrence_of(v0, tptp0) | ? [v1: $i] : % 32.49/7.55 | ? [v2: $i] : ? [v3: $i] : ($i(v3) & $i(v2) & $i(v1) & % 32.49/7.55 | next_subocc(v2, v3, tptp0) & next_subocc(v1, v2, tptp0) & % 32.49/7.55 | leaf_occ(v3, v0) & root_occ(v1, v0) & occurrence_of(v2, tptp4) & % 32.49/7.55 | occurrence_of(v1, tptp3) & (occurrence_of(v3, tptp1) | % 32.49/7.55 | occurrence_of(v3, tptp2)))) % 32.49/7.55 | % 32.49/7.55 | ALPHA: (sos_26) implies: % 32.49/7.55 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 32.49/7.55 | $i(v0) | ~ next_subocc(v0, v1, v2) | min_precedes(v0, v1, v2)) % 32.49/7.55 | % 32.49/7.55 | ALPHA: (sos_25) implies: % 32.49/7.55 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 32.49/7.55 | $i(v0) | ~ next_subocc(v0, v1, v2) | arboreal(v0)) % 32.49/7.55 | % 32.49/7.55 | ALPHA: (sos_19) implies: % 32.49/7.55 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ root_occ(v0, % 32.49/7.55 | v1) | ? [v2: $i] : ($i(v2) & subactivity_occurrence(v0, v1) & % 32.49/7.55 | root(v0, v2) & occurrence_of(v1, v2))) % 32.49/7.56 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 32.49/7.56 | $i(v0) | ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ % 32.49/7.56 | occurrence_of(v1, v2) | root_occ(v0, v1)) % 32.49/7.56 | % 32.49/7.56 | ALPHA: (sos_14) implies: % 32.49/7.56 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ atocc(v0, v1) % 32.49/7.56 | | ? [v2: $i] : ($i(v2) & subactivity(v1, v2) & atomic(v2) & % 32.49/7.56 | occurrence_of(v0, v2))) % 32.49/7.56 | % 32.49/7.56 | ALPHA: (sos_11) implies: % 32.49/7.56 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 32.49/7.56 | subactivity_occurrence(v0, v1) | activity_occurrence(v0)) % 32.49/7.56 | % 32.49/7.56 | ALPHA: (sos_03) implies: % 32.49/7.56 | (14) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 32.49/7.56 | occurrence_of(v1, v0) | activity_occurrence(v1)) % 32.49/7.56 | % 32.49/7.56 | DELTA: instantiating (1) with fresh symbol all_36_0 gives: % 32.49/7.56 | (15) $i(all_36_0) & occurrence_of(all_36_0, tptp0) & ! [v0: $i] : ! [v1: % 32.49/7.56 | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ min_precedes(v0, v1, tptp0) | ~ % 32.49/7.56 | leaf_occ(v1, all_36_0) | ~ root_occ(v0, all_36_0) | ~ % 32.49/7.56 | occurrence_of(v1, tptp1) | ~ occurrence_of(v0, tptp3)) & ! [v0: % 32.49/7.56 | $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ min_precedes(v0, v1, % 32.49/7.56 | tptp0) | ~ leaf_occ(v1, all_36_0) | ~ root_occ(v0, all_36_0) | % 32.49/7.56 | ~ occurrence_of(v1, tptp2) | ~ occurrence_of(v0, tptp3)) % 32.49/7.56 | % 32.49/7.56 | ALPHA: (15) implies: % 32.49/7.56 | (16) occurrence_of(all_36_0, tptp0) % 32.49/7.56 | (17) $i(all_36_0) % 32.49/7.56 | (18) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 32.49/7.56 | min_precedes(v0, v1, tptp0) | ~ leaf_occ(v1, all_36_0) | ~ % 32.49/7.56 | root_occ(v0, all_36_0) | ~ occurrence_of(v1, tptp2) | ~ % 32.49/7.56 | occurrence_of(v0, tptp3)) % 32.49/7.56 | (19) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 32.49/7.56 | min_precedes(v0, v1, tptp0) | ~ leaf_occ(v1, all_36_0) | ~ % 32.49/7.56 | root_occ(v0, all_36_0) | ~ occurrence_of(v1, tptp1) | ~ % 32.49/7.56 | occurrence_of(v0, tptp3)) % 32.49/7.56 | % 32.49/7.56 | GROUND_INST: instantiating (7) with all_36_0, simplifying with (16), (17) % 32.49/7.56 | gives: % 32.49/7.56 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & $i(v0) & % 32.49/7.56 | next_subocc(v1, v2, tptp0) & next_subocc(v0, v1, tptp0) & % 32.49/7.56 | leaf_occ(v2, all_36_0) & root_occ(v0, all_36_0) & occurrence_of(v1, % 32.49/7.56 | tptp4) & occurrence_of(v0, tptp3) & (occurrence_of(v2, tptp1) | % 32.49/7.56 | occurrence_of(v2, tptp2))) % 32.49/7.56 | % 32.49/7.56 | GROUND_INST: instantiating (14) with tptp0, all_36_0, simplifying with (4), % 32.49/7.56 | (16), (17) gives: % 32.49/7.56 | (21) activity_occurrence(all_36_0) % 32.49/7.56 | % 32.49/7.56 | GROUND_INST: instantiating (sos) with tptp0, all_36_0, simplifying with (3), % 32.49/7.56 | (4), (16), (17) gives: % 32.49/7.56 | (22) ? [v0: $i] : ($i(v0) & subactivity_occurrence(v0, all_36_0) & % 32.49/7.56 | root(v0, tptp0)) % 32.49/7.56 | % 32.49/7.56 | DELTA: instantiating (22) with fresh symbol all_49_0 gives: % 32.49/7.57 | (23) $i(all_49_0) & subactivity_occurrence(all_49_0, all_36_0) & % 32.49/7.57 | root(all_49_0, tptp0) % 32.49/7.57 | % 32.49/7.57 | ALPHA: (23) implies: % 32.49/7.57 | (24) root(all_49_0, tptp0) % 32.49/7.57 | (25) subactivity_occurrence(all_49_0, all_36_0) % 32.49/7.57 | (26) $i(all_49_0) % 32.49/7.57 | % 32.49/7.57 | DELTA: instantiating (20) with fresh symbols all_51_0, all_51_1, all_51_2 % 32.49/7.57 | gives: % 32.49/7.57 | (27) $i(all_51_0) & $i(all_51_1) & $i(all_51_2) & next_subocc(all_51_1, % 32.49/7.57 | all_51_0, tptp0) & next_subocc(all_51_2, all_51_1, tptp0) & % 32.49/7.57 | leaf_occ(all_51_0, all_36_0) & root_occ(all_51_2, all_36_0) & % 32.49/7.57 | occurrence_of(all_51_1, tptp4) & occurrence_of(all_51_2, tptp3) & % 32.49/7.57 | (occurrence_of(all_51_0, tptp1) | occurrence_of(all_51_0, tptp2)) % 32.49/7.57 | % 32.49/7.57 | ALPHA: (27) implies: % 32.49/7.57 | (28) occurrence_of(all_51_2, tptp3) % 32.49/7.57 | (29) root_occ(all_51_2, all_36_0) % 32.49/7.57 | (30) leaf_occ(all_51_0, all_36_0) % 32.49/7.57 | (31) next_subocc(all_51_2, all_51_1, tptp0) % 32.49/7.57 | (32) $i(all_51_2) % 32.49/7.57 | (33) $i(all_51_1) % 32.49/7.57 | (34) $i(all_51_0) % 32.49/7.57 | (35) occurrence_of(all_51_0, tptp1) | occurrence_of(all_51_0, tptp2) % 32.49/7.57 | % 32.49/7.57 | GROUND_INST: instantiating (14) with tptp3, all_51_2, simplifying with (5), % 32.49/7.57 | (28), (32) gives: % 32.49/7.57 | (36) activity_occurrence(all_51_2) % 32.49/7.57 | % 32.49/7.57 | GROUND_INST: instantiating (sos_08) with all_51_2, tptp3, tptp4, simplifying % 32.49/7.57 | with (5), (6), (28), (32) gives: % 32.49/7.57 | (37) tptp4 = tptp3 | ~ occurrence_of(all_51_2, tptp4) % 32.49/7.57 | % 32.49/7.57 | GROUND_INST: instantiating (sos_05) with tptp0, all_49_0, simplifying with % 32.49/7.57 | (4), (24), (26) gives: % 32.49/7.57 | (38) ? [v0: $i] : ($i(v0) & atocc(all_49_0, v0) & subactivity(v0, tptp0)) % 32.49/7.57 | % 32.49/7.57 | GROUND_INST: instantiating (11) with all_49_0, all_36_0, tptp0, simplifying % 32.49/7.57 | with (4), (16), (17), (24), (25), (26) gives: % 32.49/7.57 | (39) root_occ(all_49_0, all_36_0) % 32.49/7.57 | % 32.49/7.57 | GROUND_INST: instantiating (13) with all_49_0, all_36_0, simplifying with % 32.49/7.57 | (17), (25), (26) gives: % 32.49/7.57 | (40) activity_occurrence(all_49_0) % 32.49/7.57 | % 32.49/7.57 | GROUND_INST: instantiating (10) with all_51_2, all_36_0, simplifying with % 32.49/7.57 | (17), (29), (32) gives: % 32.49/7.57 | (41) ? [v0: $i] : ($i(v0) & subactivity_occurrence(all_51_2, all_36_0) & % 32.49/7.57 | root(all_51_2, v0) & occurrence_of(all_36_0, v0)) % 32.49/7.57 | % 32.49/7.57 | GROUND_INST: instantiating (sos_12) with all_36_0, simplifying with (17), (21) % 32.49/7.57 | gives: % 32.49/7.57 | (42) ? [v0: $i] : ($i(v0) & activity(v0) & occurrence_of(all_36_0, v0)) % 32.49/7.57 | % 32.49/7.57 | GROUND_INST: instantiating (9) with all_51_2, all_51_1, tptp0, simplifying % 32.49/7.57 | with (4), (31), (32), (33) gives: % 32.49/7.57 | (43) arboreal(all_51_2) % 32.49/7.57 | % 32.49/7.57 | GROUND_INST: instantiating (8) with all_51_2, all_51_1, tptp0, simplifying % 32.49/7.57 | with (4), (31), (32), (33) gives: % 32.49/7.57 | (44) min_precedes(all_51_2, all_51_1, tptp0) % 32.49/7.57 | % 32.49/7.57 | DELTA: instantiating (38) with fresh symbol all_59_0 gives: % 32.49/7.58 | (45) $i(all_59_0) & atocc(all_49_0, all_59_0) & subactivity(all_59_0, % 32.49/7.58 | tptp0) % 32.49/7.58 | % 32.49/7.58 | ALPHA: (45) implies: % 32.49/7.58 | (46) atocc(all_49_0, all_59_0) % 32.49/7.58 | (47) $i(all_59_0) % 32.49/7.58 | % 32.49/7.58 | DELTA: instantiating (42) with fresh symbol all_61_0 gives: % 32.49/7.58 | (48) $i(all_61_0) & activity(all_61_0) & occurrence_of(all_36_0, all_61_0) % 32.49/7.58 | % 32.49/7.58 | ALPHA: (48) implies: % 32.49/7.58 | (49) occurrence_of(all_36_0, all_61_0) % 32.49/7.58 | (50) $i(all_61_0) % 32.49/7.58 | % 32.49/7.58 | DELTA: instantiating (41) with fresh symbol all_63_0 gives: % 32.49/7.58 | (51) $i(all_63_0) & subactivity_occurrence(all_51_2, all_36_0) & % 32.49/7.58 | root(all_51_2, all_63_0) & occurrence_of(all_36_0, all_63_0) % 32.49/7.58 | % 32.49/7.58 | ALPHA: (51) implies: % 32.49/7.58 | (52) subactivity_occurrence(all_51_2, all_36_0) % 32.49/7.58 | % 32.49/7.58 | BETA: splitting (37) gives: % 32.49/7.58 | % 32.66/7.58 | Case 1: % 32.66/7.58 | | % 32.66/7.58 | | % 32.66/7.58 | | GROUND_INST: instantiating (sos_29) with all_51_2, all_49_0, all_36_0, % 32.66/7.58 | | all_61_0, simplifying with (17), (26), (29), (32), (39), (49), % 32.66/7.58 | | (50) gives: % 32.66/7.58 | | (53) all_51_2 = all_49_0 % 32.66/7.58 | | % 32.66/7.58 | | GROUND_INST: instantiating (sos_09) with all_36_0, all_51_2, tptp0, % 32.66/7.58 | | all_51_1, simplifying with (4), (16), (17), (32), (33), (44) % 32.66/7.58 | | gives: % 32.66/7.58 | | (54) ~ leaf_occ(all_51_2, all_36_0) % 32.66/7.58 | | % 32.66/7.58 | | GROUND_INST: instantiating (sos_02) with tptp0, all_36_0, all_51_2, % 32.66/7.58 | | all_51_0, simplifying with (4), (16), (17), (30), (32), (34), % 32.66/7.58 | | (43), (52) gives: % 32.66/7.58 | | (55) all_51_0 = all_51_2 | min_precedes(all_51_2, all_51_0, tptp0) % 32.66/7.58 | | % 32.66/7.58 | | GROUND_INST: instantiating (sos_12) with all_49_0, simplifying with (26), % 32.66/7.58 | | (40) gives: % 32.66/7.58 | | (56) ? [v0: $i] : ($i(v0) & activity(v0) & occurrence_of(all_49_0, v0)) % 32.66/7.58 | | % 32.66/7.58 | | GROUND_INST: instantiating (sos_12) with all_51_2, simplifying with (32), % 32.66/7.58 | | (36) gives: % 32.66/7.58 | | (57) ? [v0: $i] : ($i(v0) & activity(v0) & occurrence_of(all_51_2, v0)) % 32.66/7.58 | | % 32.66/7.58 | | GROUND_INST: instantiating (12) with all_49_0, all_59_0, simplifying with % 32.66/7.58 | | (26), (46), (47) gives: % 32.66/7.58 | | (58) ? [v0: $i] : ($i(v0) & subactivity(all_59_0, v0) & atomic(v0) & % 32.66/7.58 | | occurrence_of(all_49_0, v0)) % 32.66/7.58 | | % 32.66/7.58 | | DELTA: instantiating (57) with fresh symbol all_95_0 gives: % 32.66/7.58 | | (59) $i(all_95_0) & activity(all_95_0) & occurrence_of(all_51_2, % 32.66/7.58 | | all_95_0) % 32.66/7.58 | | % 32.66/7.58 | | ALPHA: (59) implies: % 32.66/7.58 | | (60) occurrence_of(all_51_2, all_95_0) % 32.66/7.58 | | (61) $i(all_95_0) % 32.66/7.58 | | % 32.66/7.58 | | DELTA: instantiating (56) with fresh symbol all_99_0 gives: % 32.66/7.59 | | (62) $i(all_99_0) & activity(all_99_0) & occurrence_of(all_49_0, % 32.66/7.59 | | all_99_0) % 32.66/7.59 | | % 32.66/7.59 | | ALPHA: (62) implies: % 32.66/7.59 | | (63) occurrence_of(all_49_0, all_99_0) % 32.66/7.59 | | (64) $i(all_99_0) % 32.66/7.59 | | % 32.66/7.59 | | DELTA: instantiating (58) with fresh symbol all_101_0 gives: % 32.66/7.59 | | (65) $i(all_101_0) & subactivity(all_59_0, all_101_0) & atomic(all_101_0) % 32.66/7.59 | | & occurrence_of(all_49_0, all_101_0) % 32.66/7.59 | | % 32.66/7.59 | | ALPHA: (65) implies: % 32.66/7.59 | | (66) occurrence_of(all_49_0, all_101_0) % 32.66/7.59 | | (67) $i(all_101_0) % 32.66/7.59 | | % 32.66/7.59 | | REDUCE: (53), (60) imply: % 32.66/7.59 | | (68) occurrence_of(all_49_0, all_95_0) % 32.66/7.59 | | % 32.66/7.59 | | REDUCE: (28), (53) imply: % 32.66/7.59 | | (69) occurrence_of(all_49_0, tptp3) % 32.66/7.59 | | % 32.66/7.59 | | REDUCE: (53), (54) imply: % 32.66/7.59 | | (70) ~ leaf_occ(all_49_0, all_36_0) % 32.66/7.59 | | % 32.66/7.59 | | PRED_UNIFY: (30), (70) imply: % 32.66/7.59 | | (71) ~ (all_51_0 = all_49_0) % 32.66/7.59 | | % 32.66/7.59 | | BETA: splitting (55) gives: % 32.66/7.59 | | % 32.66/7.59 | | Case 1: % 32.66/7.59 | | | % 32.66/7.59 | | | (72) min_precedes(all_51_2, all_51_0, tptp0) % 32.66/7.59 | | | % 32.66/7.59 | | | REDUCE: (53), (72) imply: % 32.66/7.59 | | | (73) min_precedes(all_49_0, all_51_0, tptp0) % 32.66/7.59 | | | % 32.66/7.59 | | | GROUND_INST: instantiating (sos_08) with all_49_0, all_95_0, all_99_0, % 32.66/7.59 | | | simplifying with (26), (61), (63), (64), (68) gives: % 32.66/7.59 | | | (74) all_99_0 = all_95_0 % 32.66/7.59 | | | % 32.66/7.59 | | | GROUND_INST: instantiating (sos_08) with all_49_0, all_99_0, all_101_0, % 32.66/7.59 | | | simplifying with (26), (63), (64), (66), (67) gives: % 32.66/7.59 | | | (75) all_101_0 = all_99_0 % 32.66/7.59 | | | % 32.66/7.59 | | | GROUND_INST: instantiating (sos_08) with all_49_0, tptp3, all_101_0, % 32.66/7.59 | | | simplifying with (5), (26), (66), (67), (69) gives: % 32.66/7.59 | | | (76) all_101_0 = tptp3 % 32.66/7.59 | | | % 32.66/7.59 | | | COMBINE_EQS: (75), (76) imply: % 32.66/7.59 | | | (77) all_99_0 = tptp3 % 32.66/7.59 | | | % 32.66/7.59 | | | SIMP: (77) implies: % 32.66/7.59 | | | (78) all_99_0 = tptp3 % 32.66/7.59 | | | % 32.66/7.59 | | | COMBINE_EQS: (74), (78) imply: % 32.66/7.59 | | | (79) all_95_0 = tptp3 % 32.66/7.59 | | | % 32.66/7.59 | | | SIMP: (79) implies: % 32.66/7.59 | | | (80) all_95_0 = tptp3 % 32.66/7.59 | | | % 32.66/7.59 | | | BETA: splitting (35) gives: % 32.66/7.59 | | | % 32.66/7.59 | | | Case 1: % 32.66/7.59 | | | | % 32.66/7.59 | | | | (81) occurrence_of(all_51_0, tptp1) % 32.66/7.59 | | | | % 32.66/7.59 | | | | GROUND_INST: instantiating (19) with all_49_0, all_51_0, simplifying % 32.66/7.59 | | | | with (26), (30), (34), (39), (69), (73), (81) gives: % 32.66/7.59 | | | | (82) $false % 32.66/7.59 | | | | % 32.66/7.59 | | | | CLOSE: (82) is inconsistent. % 32.66/7.59 | | | | % 32.66/7.59 | | | Case 2: % 32.66/7.59 | | | | % 32.66/7.59 | | | | (83) occurrence_of(all_51_0, tptp2) % 32.66/7.59 | | | | % 32.66/7.60 | | | | GROUND_INST: instantiating (18) with all_49_0, all_51_0, simplifying % 32.66/7.60 | | | | with (26), (30), (34), (39), (69), (73), (83) gives: % 32.66/7.60 | | | | (84) $false % 32.66/7.60 | | | | % 32.66/7.60 | | | | CLOSE: (84) is inconsistent. % 32.66/7.60 | | | | % 32.66/7.60 | | | End of split % 32.66/7.60 | | | % 32.66/7.60 | | Case 2: % 32.66/7.60 | | | % 32.66/7.60 | | | (85) all_51_0 = all_51_2 % 32.66/7.60 | | | % 32.66/7.60 | | | COMBINE_EQS: (53), (85) imply: % 32.66/7.60 | | | (86) all_51_0 = all_49_0 % 32.66/7.60 | | | % 32.66/7.60 | | | REDUCE: (71), (86) imply: % 32.66/7.60 | | | (87) $false % 32.66/7.60 | | | % 32.66/7.60 | | | CLOSE: (87) is inconsistent. % 32.66/7.60 | | | % 32.66/7.60 | | End of split % 32.66/7.60 | | % 32.66/7.60 | Case 2: % 32.66/7.60 | | % 32.66/7.60 | | (88) tptp4 = tptp3 % 32.66/7.60 | | % 32.66/7.60 | | REDUCE: (2), (88) imply: % 32.66/7.60 | | (89) $false % 32.66/7.60 | | % 32.66/7.60 | | CLOSE: (89) is inconsistent. % 32.66/7.60 | | % 32.66/7.60 | End of split % 32.66/7.60 | % 32.66/7.60 End of proof % 32.66/7.60 % SZS output end Proof for theBenchmark % 32.66/7.60 % 32.66/7.60 7013ms %------------------------------------------------------------------------------