%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : PRO012+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 : n001.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 13:08:49 EDT 2023 % Result : Theorem 135.18s 18.84s % Output : Proof 136.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PRO012+4 : TPTP v8.1.2. Released v4.0.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.33 % Computer : n001.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 : 300 % 0.12/0.33 % DateTime : Mon Aug 28 20:10:20 EDT 2023 % 0.12/0.33 % CPUTime : % 0.18/0.60 ________ _____ % 0.18/0.60 ___ __ \_________(_)________________________________ % 0.18/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.60 % 0.18/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.60 (2023-06-19) % 0.18/0.60 % 0.18/0.60 (c) Philipp Rümmer, 2009-2023 % 0.18/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.60 Amanda Stjerna. % 0.18/0.60 Free software under BSD-3-Clause. % 0.18/0.60 % 0.18/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.60 % 0.18/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.18/0.61 Running up to 7 provers in parallel. % 0.18/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.18/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.18/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.18/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.18/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.18/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.18/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.10/1.12 Prover 1: Preprocessing ... % 3.10/1.12 Prover 4: Preprocessing ... % 3.10/1.16 Prover 2: Preprocessing ... % 3.10/1.16 Prover 6: Preprocessing ... % 3.10/1.16 Prover 0: Preprocessing ... % 3.46/1.16 Prover 5: Preprocessing ... % 3.46/1.16 Prover 3: Preprocessing ... % 6.31/1.63 Prover 5: Proving ... % 6.31/1.63 Prover 2: Constructing countermodel ... % 7.38/1.77 Prover 1: Constructing countermodel ... % 7.38/1.79 Prover 6: Proving ... % 8.46/1.88 Prover 3: Constructing countermodel ... % 9.22/2.08 Prover 4: Constructing countermodel ... % 9.22/2.16 Prover 0: Proving ... % 70.69/10.34 Prover 2: stopped % 72.49/10.35 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 72.76/10.40 Prover 7: Preprocessing ... % 73.27/10.48 Prover 7: Constructing countermodel ... % 99.79/13.97 Prover 5: stopped % 99.79/13.98 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 100.50/14.07 Prover 8: Preprocessing ... % 101.33/14.17 Prover 8: Warning: ignoring some quantifiers % 101.33/14.18 Prover 8: Constructing countermodel ... % 115.21/15.96 Prover 1: stopped % 115.21/15.97 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 115.68/16.05 Prover 9: Preprocessing ... % 116.87/16.22 Prover 9: Constructing countermodel ... % 129.19/17.89 Prover 6: stopped % 129.19/17.91 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 129.78/18.00 Prover 10: Preprocessing ... % 129.78/18.06 Prover 10: Constructing countermodel ... % 135.18/18.80 Prover 7: Found proof (size 141) % 135.18/18.80 Prover 7: proved (8407ms) % 135.18/18.80 Prover 9: stopped % 135.18/18.80 Prover 0: stopped % 135.18/18.80 Prover 8: stopped % 135.18/18.80 Prover 10: stopped % 135.18/18.81 Prover 4: stopped % 135.18/18.84 Prover 3: stopped % 135.18/18.84 % 135.18/18.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 135.18/18.84 % 135.18/18.85 % SZS output start Proof for theBenchmark % 135.18/18.85 Assumptions after simplification: % 135.18/18.85 --------------------------------- % 135.18/18.85 % 135.18/18.85 (goals) % 135.18/18.86 $i(tptp1) & $i(tptp2) & $i(tptp3) & $i(tptp0) & ? [v0: $i] : ($i(v0) & % 135.18/18.86 occurrence_of(v0, tptp0) & ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ % 135.18/18.86 $i(v1) | ~ min_precedes(v1, v2, tptp0) | ~ root_occ(v1, v0) | ~ % 135.18/18.86 occurrence_of(v2, tptp1) | ~ occurrence_of(v1, tptp3)) & ! [v1: $i] : ! % 135.18/18.86 [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ min_precedes(v1, v2, tptp0) | ~ % 135.18/18.86 root_occ(v1, v0) | ~ occurrence_of(v2, tptp2) | ~ occurrence_of(v1, % 135.18/18.86 tptp3))) % 135.18/18.86 % 135.18/18.86 (sos) % 135.18/18.86 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ occurrence_of(v1, v0) % 135.18/18.86 | atomic(v0) | ? [v2: $i] : ($i(v2) & subactivity_occurrence(v2, v1) & % 135.18/18.86 root(v2, v0))) % 135.18/18.86 % 135.18/18.86 (sos_03) % 135.18/18.87 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ occurrence_of(v1, v0) % 135.18/18.87 | activity_occurrence(v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 135.18/18.87 $i(v0) | ~ occurrence_of(v1, v0) | activity(v0)) % 135.18/18.87 % 135.18/18.87 (sos_05) % 135.18/18.87 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ root(v1, v0) | ? [v2: % 135.18/18.87 $i] : ($i(v2) & atocc(v1, v2) & subactivity(v2, v0))) % 135.18/18.87 % 135.18/18.87 (sos_06) % 135.18/18.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 135.18/18.87 ~ min_precedes(v1, v2, v0) | ? [v3: $i] : ($i(v3) & % 135.18/18.87 subactivity_occurrence(v2, v3) & subactivity_occurrence(v1, v3) & % 135.18/18.87 occurrence_of(v3, v0))) % 135.18/18.87 % 135.18/18.87 (sos_08) % 135.18/18.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ $i(v2) | ~ $i(v1) | % 135.18/18.87 ~ $i(v0) | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1)) % 135.18/18.87 % 135.18/18.87 (sos_11) % 135.18/18.87 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 135.18/18.87 subactivity_occurrence(v0, v1) | activity_occurrence(v1)) & ! [v0: $i] : ! % 135.18/18.87 [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ subactivity_occurrence(v0, v1) | % 135.18/18.87 activity_occurrence(v0)) % 135.18/18.87 % 135.18/18.87 (sos_12) % 135.18/18.87 ! [v0: $i] : ( ~ $i(v0) | ~ activity_occurrence(v0) | ? [v1: $i] : ($i(v1) % 135.18/18.87 & activity(v1) & occurrence_of(v0, v1))) % 135.18/18.87 % 135.18/18.87 (sos_14) % 135.18/18.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 135.18/18.87 ~ subactivity(v1, v2) | ~ atomic(v2) | ~ occurrence_of(v0, v2) | % 135.18/18.87 atocc(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 135.18/18.87 atocc(v0, v1) | ? [v2: $i] : ($i(v2) & subactivity(v1, v2) & atomic(v2) & % 135.18/18.87 occurrence_of(v0, v2))) % 135.18/18.87 % 135.18/18.87 (sos_19) % 135.18/18.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 135.18/18.87 ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1, % 135.18/18.87 v2) | root_occ(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ % 135.18/18.87 $i(v0) | ~ root_occ(v0, v1) | ? [v2: $i] : ($i(v2) & % 135.18/18.87 subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2))) % 135.18/18.87 % 135.18/18.87 (sos_23) % 135.18/18.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 135.18/18.87 ~ min_precedes(v0, v1, v2) | ? [v3: $i] : ($i(v3) & min_precedes(v3, v1, % 135.18/18.88 v2) & root(v3, v2))) % 135.18/18.88 % 135.18/18.88 (sos_27) % 135.18/18.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 135.18/18.88 | ~ $i(v1) | ~ $i(v0) | ~ min_precedes(v0, v1, v2) | ~ % 135.18/18.88 subactivity_occurrence(v1, v3) | ~ occurrence_of(v3, v2) | % 135.18/18.88 subactivity_occurrence(v0, v3)) % 135.18/18.88 % 135.18/18.88 (sos_29) % 135.18/18.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ $i(v3) | % 135.18/18.88 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ root_occ(v1, v2) | ~ root_occ(v0, % 135.18/18.88 v2) | ~ occurrence_of(v2, v3)) % 135.18/18.88 % 135.18/18.88 (sos_32) % 135.18/18.88 $i(tptp1) & $i(tptp2) & $i(tptp4) & $i(tptp3) & $i(tptp0) & ! [v0: $i] : ( ~ % 135.18/18.88 $i(v0) | ~ occurrence_of(v0, tptp0) | ? [v1: $i] : ? [v2: $i] : ? [v3: % 135.18/18.88 $i] : ($i(v3) & $i(v2) & $i(v1) & min_precedes(v2, v3, tptp0) & % 135.18/18.88 min_precedes(v1, v2, tptp0) & root_occ(v1, v0) & occurrence_of(v2, tptp4) % 135.18/18.88 & occurrence_of(v1, tptp3) & ! [v4: $i] : (v4 = v3 | v4 = v2 | ~ $i(v4) % 135.18/18.88 | ~ min_precedes(v1, v4, tptp0)) & (occurrence_of(v3, tptp1) | % 135.18/18.88 occurrence_of(v3, tptp2)))) % 135.18/18.88 % 135.18/18.88 (sos_34) % 135.18/18.88 $i(tptp0) & ~ atomic(tptp0) % 135.18/18.88 % 135.18/18.88 Further assumptions not needed in the proof: % 135.18/18.88 -------------------------------------------- % 135.18/18.88 sos_01, sos_02, sos_04, sos_07, sos_09, sos_10, sos_13, sos_15, sos_16, sos_17, % 135.18/18.88 sos_18, sos_20, sos_21, sos_22, sos_24, sos_25, sos_26, sos_28, sos_30, sos_31, % 135.18/18.88 sos_33, sos_35, sos_36, sos_37, sos_38, sos_39, sos_40, sos_41, sos_42, sos_43, % 135.18/18.88 sos_44 % 135.18/18.88 % 135.18/18.88 Those formulas are unsatisfiable: % 135.18/18.88 --------------------------------- % 135.18/18.88 % 135.18/18.88 Begin of proof % 135.18/18.88 | % 135.18/18.88 | ALPHA: (goals) implies: % 135.18/18.88 | (1) ? [v0: $i] : ($i(v0) & occurrence_of(v0, tptp0) & ! [v1: $i] : ! % 135.18/18.88 | [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ min_precedes(v1, v2, tptp0) | % 135.18/18.88 | ~ root_occ(v1, v0) | ~ occurrence_of(v2, tptp1) | ~ % 135.18/18.88 | occurrence_of(v1, tptp3)) & ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) % 135.18/18.88 | | ~ $i(v1) | ~ min_precedes(v1, v2, tptp0) | ~ root_occ(v1, v0) % 135.18/18.88 | | ~ occurrence_of(v2, tptp2) | ~ occurrence_of(v1, tptp3))) % 135.18/18.88 | % 135.18/18.88 | ALPHA: (sos_34) implies: % 135.18/18.89 | (2) ~ atomic(tptp0) % 135.18/18.89 | % 135.18/18.89 | ALPHA: (sos_32) implies: % 135.18/18.89 | (3) $i(tptp0) % 135.18/18.89 | (4) $i(tptp3) % 135.18/18.89 | (5) ! [v0: $i] : ( ~ $i(v0) | ~ occurrence_of(v0, tptp0) | ? [v1: $i] : % 135.18/18.89 | ? [v2: $i] : ? [v3: $i] : ($i(v3) & $i(v2) & $i(v1) & % 135.18/18.89 | min_precedes(v2, v3, tptp0) & min_precedes(v1, v2, tptp0) & % 135.18/18.89 | root_occ(v1, v0) & occurrence_of(v2, tptp4) & occurrence_of(v1, % 135.18/18.89 | tptp3) & ! [v4: $i] : (v4 = v3 | v4 = v2 | ~ $i(v4) | ~ % 135.18/18.89 | min_precedes(v1, v4, tptp0)) & (occurrence_of(v3, tptp1) | % 135.18/18.89 | occurrence_of(v3, tptp2)))) % 135.18/18.89 | % 135.18/18.89 | ALPHA: (sos_19) implies: % 135.18/18.89 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ root_occ(v0, % 135.18/18.89 | v1) | ? [v2: $i] : ($i(v2) & subactivity_occurrence(v0, v1) & % 135.18/18.89 | root(v0, v2) & occurrence_of(v1, v2))) % 135.18/18.89 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ % 135.18/18.89 | $i(v0) | ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ % 135.18/18.89 | occurrence_of(v1, v2) | root_occ(v0, v1)) % 135.18/18.89 | % 135.18/18.89 | ALPHA: (sos_14) implies: % 135.18/18.89 | (8) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ atocc(v0, v1) | % 135.18/18.89 | ? [v2: $i] : ($i(v2) & subactivity(v1, v2) & atomic(v2) & % 135.18/18.89 | occurrence_of(v0, v2))) % 135.18/18.89 | % 135.18/18.89 | ALPHA: (sos_11) implies: % 135.18/18.89 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 135.18/18.89 | subactivity_occurrence(v0, v1) | activity_occurrence(v0)) % 135.18/18.89 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 135.18/18.89 | subactivity_occurrence(v0, v1) | activity_occurrence(v1)) % 135.18/18.89 | % 135.18/18.89 | ALPHA: (sos_03) implies: % 135.18/18.89 | (11) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 135.18/18.89 | occurrence_of(v1, v0) | activity_occurrence(v1)) % 135.18/18.89 | % 135.18/18.89 | DELTA: instantiating (1) with fresh symbol all_36_0 gives: % 135.18/18.89 | (12) $i(all_36_0) & occurrence_of(all_36_0, tptp0) & ! [v0: $i] : ! [v1: % 135.18/18.89 | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ min_precedes(v0, v1, tptp0) | ~ % 135.18/18.89 | root_occ(v0, all_36_0) | ~ occurrence_of(v1, tptp1) | ~ % 135.18/18.89 | occurrence_of(v0, tptp3)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | % 135.18/18.89 | ~ $i(v0) | ~ min_precedes(v0, v1, tptp0) | ~ root_occ(v0, % 135.18/18.89 | all_36_0) | ~ occurrence_of(v1, tptp2) | ~ occurrence_of(v0, % 135.18/18.89 | tptp3)) % 135.18/18.89 | % 135.18/18.89 | ALPHA: (12) implies: % 135.18/18.89 | (13) occurrence_of(all_36_0, tptp0) % 135.18/18.89 | (14) $i(all_36_0) % 135.18/18.89 | (15) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 135.18/18.89 | min_precedes(v0, v1, tptp0) | ~ root_occ(v0, all_36_0) | ~ % 135.18/18.89 | occurrence_of(v1, tptp2) | ~ occurrence_of(v0, tptp3)) % 135.18/18.90 | (16) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ % 135.18/18.90 | min_precedes(v0, v1, tptp0) | ~ root_occ(v0, all_36_0) | ~ % 135.18/18.90 | occurrence_of(v1, tptp1) | ~ occurrence_of(v0, tptp3)) % 135.18/18.90 | % 136.44/18.90 | GROUND_INST: instantiating (5) with all_36_0, simplifying with (13), (14) % 136.44/18.90 | gives: % 136.44/18.90 | (17) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & $i(v0) & % 136.44/18.90 | min_precedes(v1, v2, tptp0) & min_precedes(v0, v1, tptp0) & % 136.44/18.90 | root_occ(v0, all_36_0) & occurrence_of(v1, tptp4) & % 136.44/18.90 | occurrence_of(v0, tptp3) & ! [v3: $i] : (v3 = v2 | v3 = v1 | ~ % 136.44/18.90 | $i(v3) | ~ min_precedes(v0, v3, tptp0)) & (occurrence_of(v2, % 136.44/18.90 | tptp1) | occurrence_of(v2, tptp2))) % 136.44/18.90 | % 136.44/18.90 | GROUND_INST: instantiating (11) with tptp0, all_36_0, simplifying with (3), % 136.44/18.90 | (13), (14) gives: % 136.44/18.90 | (18) activity_occurrence(all_36_0) % 136.44/18.90 | % 136.44/18.90 | GROUND_INST: instantiating (sos) with tptp0, all_36_0, simplifying with (2), % 136.44/18.90 | (3), (13), (14) gives: % 136.44/18.90 | (19) ? [v0: $i] : ($i(v0) & subactivity_occurrence(v0, all_36_0) & % 136.44/18.90 | root(v0, tptp0)) % 136.44/18.90 | % 136.44/18.90 | DELTA: instantiating (19) with fresh symbol all_49_0 gives: % 136.44/18.90 | (20) $i(all_49_0) & subactivity_occurrence(all_49_0, all_36_0) & % 136.44/18.90 | root(all_49_0, tptp0) % 136.44/18.90 | % 136.44/18.90 | ALPHA: (20) implies: % 136.44/18.90 | (21) root(all_49_0, tptp0) % 136.44/18.90 | (22) subactivity_occurrence(all_49_0, all_36_0) % 136.44/18.90 | (23) $i(all_49_0) % 136.44/18.90 | % 136.44/18.90 | DELTA: instantiating (17) with fresh symbols all_51_0, all_51_1, all_51_2 % 136.44/18.90 | gives: % 136.44/18.90 | (24) $i(all_51_0) & $i(all_51_1) & $i(all_51_2) & min_precedes(all_51_1, % 136.44/18.90 | all_51_0, tptp0) & min_precedes(all_51_2, all_51_1, tptp0) & % 136.44/18.90 | root_occ(all_51_2, all_36_0) & occurrence_of(all_51_1, tptp4) & % 136.44/18.90 | occurrence_of(all_51_2, tptp3) & ! [v0: any] : (v0 = all_51_0 | v0 = % 136.44/18.90 | all_51_1 | ~ $i(v0) | ~ min_precedes(all_51_2, v0, tptp0)) & % 136.44/18.90 | (occurrence_of(all_51_0, tptp1) | occurrence_of(all_51_0, tptp2)) % 136.44/18.90 | % 136.44/18.90 | ALPHA: (24) implies: % 136.44/18.90 | (25) occurrence_of(all_51_2, tptp3) % 136.44/18.90 | (26) root_occ(all_51_2, all_36_0) % 136.44/18.90 | (27) min_precedes(all_51_2, all_51_1, tptp0) % 136.44/18.90 | (28) min_precedes(all_51_1, all_51_0, tptp0) % 136.44/18.90 | (29) $i(all_51_2) % 136.44/18.90 | (30) $i(all_51_1) % 136.44/18.90 | (31) $i(all_51_0) % 136.44/18.90 | (32) occurrence_of(all_51_0, tptp1) | occurrence_of(all_51_0, tptp2) % 136.44/18.90 | % 136.44/18.90 | GROUND_INST: instantiating (11) with tptp3, all_51_2, simplifying with (4), % 136.44/18.90 | (25), (29) gives: % 136.44/18.90 | (33) activity_occurrence(all_51_2) % 136.44/18.90 | % 136.44/18.90 | GROUND_INST: instantiating (sos_05) with tptp0, all_49_0, simplifying with % 136.44/18.90 | (3), (21), (23) gives: % 136.44/18.90 | (34) ? [v0: $i] : ($i(v0) & atocc(all_49_0, v0) & subactivity(v0, tptp0)) % 136.44/18.90 | % 136.44/18.90 | GROUND_INST: instantiating (7) with all_49_0, all_36_0, tptp0, simplifying % 136.44/18.90 | with (3), (13), (14), (21), (22), (23) gives: % 136.44/18.91 | (35) root_occ(all_49_0, all_36_0) % 136.44/18.91 | % 136.44/18.91 | GROUND_INST: instantiating (9) with all_49_0, all_36_0, simplifying with (14), % 136.44/18.91 | (22), (23) gives: % 136.44/18.91 | (36) activity_occurrence(all_49_0) % 136.44/18.91 | % 136.44/18.91 | GROUND_INST: instantiating (6) with all_51_2, all_36_0, simplifying with (14), % 136.44/18.91 | (26), (29) gives: % 136.44/18.91 | (37) ? [v0: $i] : ($i(v0) & subactivity_occurrence(all_51_2, all_36_0) & % 136.44/18.91 | root(all_51_2, v0) & occurrence_of(all_36_0, v0)) % 136.44/18.91 | % 136.44/18.91 | GROUND_INST: instantiating (sos_06) with tptp0, all_51_2, all_51_1, % 136.44/18.91 | simplifying with (3), (27), (29), (30) gives: % 136.44/18.91 | (38) ? [v0: $i] : ($i(v0) & subactivity_occurrence(all_51_1, v0) & % 136.44/18.91 | subactivity_occurrence(all_51_2, v0) & occurrence_of(v0, tptp0)) % 136.44/18.91 | % 136.44/18.91 | GROUND_INST: instantiating (sos_23) with all_51_2, all_51_1, tptp0, % 136.44/18.91 | simplifying with (3), (27), (29), (30) gives: % 136.44/18.91 | (39) ? [v0: $i] : ($i(v0) & min_precedes(v0, all_51_1, tptp0) & root(v0, % 136.44/18.91 | tptp0)) % 136.44/18.91 | % 136.44/18.91 | GROUND_INST: instantiating (sos_06) with tptp0, all_51_1, all_51_0, % 136.44/18.91 | simplifying with (3), (28), (30), (31) gives: % 136.44/18.91 | (40) ? [v0: $i] : ($i(v0) & subactivity_occurrence(all_51_0, v0) & % 136.44/18.91 | subactivity_occurrence(all_51_1, v0) & occurrence_of(v0, tptp0)) % 136.44/18.91 | % 136.44/18.91 | GROUND_INST: instantiating (sos_23) with all_51_1, all_51_0, tptp0, % 136.44/18.91 | simplifying with (3), (28), (30), (31) gives: % 136.53/18.91 | (41) ? [v0: $i] : ($i(v0) & min_precedes(v0, all_51_0, tptp0) & root(v0, % 136.53/18.91 | tptp0)) % 136.53/18.91 | % 136.53/18.91 | GROUND_INST: instantiating (sos_12) with all_36_0, simplifying with (14), (18) % 136.53/18.91 | gives: % 136.53/18.91 | (42) ? [v0: $i] : ($i(v0) & activity(v0) & occurrence_of(all_36_0, v0)) % 136.53/18.91 | % 136.53/18.91 | DELTA: instantiating (39) with fresh symbol all_60_0 gives: % 136.53/18.91 | (43) $i(all_60_0) & min_precedes(all_60_0, all_51_1, tptp0) & % 136.53/18.91 | root(all_60_0, tptp0) % 136.53/18.91 | % 136.53/18.91 | ALPHA: (43) implies: % 136.53/18.91 | (44) root(all_60_0, tptp0) % 136.53/18.91 | (45) min_precedes(all_60_0, all_51_1, tptp0) % 136.53/18.91 | (46) $i(all_60_0) % 136.53/18.91 | % 136.53/18.91 | DELTA: instantiating (42) with fresh symbol all_62_0 gives: % 136.53/18.91 | (47) $i(all_62_0) & activity(all_62_0) & occurrence_of(all_36_0, all_62_0) % 136.53/18.91 | % 136.53/18.91 | ALPHA: (47) implies: % 136.53/18.91 | (48) occurrence_of(all_36_0, all_62_0) % 136.53/18.91 | (49) $i(all_62_0) % 136.53/18.91 | % 136.53/18.91 | DELTA: instantiating (41) with fresh symbol all_64_0 gives: % 136.53/18.91 | (50) $i(all_64_0) & min_precedes(all_64_0, all_51_0, tptp0) & % 136.53/18.91 | root(all_64_0, tptp0) % 136.53/18.91 | % 136.53/18.91 | ALPHA: (50) implies: % 136.53/18.91 | (51) root(all_64_0, tptp0) % 136.53/18.91 | (52) min_precedes(all_64_0, all_51_0, tptp0) % 136.53/18.91 | (53) $i(all_64_0) % 136.53/18.91 | % 136.53/18.91 | DELTA: instantiating (34) with fresh symbol all_66_0 gives: % 136.53/18.91 | (54) $i(all_66_0) & atocc(all_49_0, all_66_0) & subactivity(all_66_0, % 136.53/18.91 | tptp0) % 136.53/18.91 | % 136.53/18.91 | ALPHA: (54) implies: % 136.53/18.91 | (55) atocc(all_49_0, all_66_0) % 136.53/18.91 | (56) $i(all_66_0) % 136.53/18.91 | % 136.53/18.91 | DELTA: instantiating (40) with fresh symbol all_68_0 gives: % 136.53/18.91 | (57) $i(all_68_0) & subactivity_occurrence(all_51_0, all_68_0) & % 136.53/18.91 | subactivity_occurrence(all_51_1, all_68_0) & occurrence_of(all_68_0, % 136.53/18.91 | tptp0) % 136.53/18.91 | % 136.53/18.91 | ALPHA: (57) implies: % 136.53/18.91 | (58) occurrence_of(all_68_0, tptp0) % 136.53/18.91 | (59) subactivity_occurrence(all_51_1, all_68_0) % 136.53/18.91 | (60) subactivity_occurrence(all_51_0, all_68_0) % 136.53/18.91 | (61) $i(all_68_0) % 136.53/18.91 | % 136.53/18.91 | DELTA: instantiating (38) with fresh symbol all_70_0 gives: % 136.53/18.92 | (62) $i(all_70_0) & subactivity_occurrence(all_51_1, all_70_0) & % 136.53/18.92 | subactivity_occurrence(all_51_2, all_70_0) & occurrence_of(all_70_0, % 136.53/18.92 | tptp0) % 136.53/18.92 | % 136.53/18.92 | ALPHA: (62) implies: % 136.53/18.92 | (63) occurrence_of(all_70_0, tptp0) % 136.53/18.92 | (64) subactivity_occurrence(all_51_2, all_70_0) % 136.53/18.92 | (65) $i(all_70_0) % 136.53/18.92 | % 136.53/18.92 | DELTA: instantiating (37) with fresh symbol all_72_0 gives: % 136.53/18.92 | (66) $i(all_72_0) & subactivity_occurrence(all_51_2, all_36_0) & % 136.53/18.92 | root(all_51_2, all_72_0) & occurrence_of(all_36_0, all_72_0) % 136.53/18.92 | % 136.53/18.92 | ALPHA: (66) implies: % 136.53/18.92 | (67) occurrence_of(all_36_0, all_72_0) % 136.53/18.92 | (68) root(all_51_2, all_72_0) % 136.53/18.92 | (69) $i(all_72_0) % 136.53/18.92 | % 136.53/18.92 | GROUND_INST: instantiating (sos_08) with all_36_0, tptp0, all_72_0, % 136.53/18.92 | simplifying with (3), (13), (14), (67), (69) gives: % 136.53/18.92 | (70) all_72_0 = tptp0 % 136.53/18.92 | % 136.53/18.92 | GROUND_INST: instantiating (sos_08) with all_36_0, all_62_0, all_72_0, % 136.53/18.92 | simplifying with (14), (48), (49), (67), (69) gives: % 136.53/18.92 | (71) all_72_0 = all_62_0 % 136.53/18.92 | % 136.53/18.92 | GROUND_INST: instantiating (5) with all_68_0, simplifying with (58), (61) % 136.53/18.92 | gives: % 136.53/18.92 | (72) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & $i(v0) & % 136.53/18.92 | min_precedes(v1, v2, tptp0) & min_precedes(v0, v1, tptp0) & % 136.53/18.92 | root_occ(v0, all_68_0) & occurrence_of(v1, tptp4) & % 136.53/18.92 | occurrence_of(v0, tptp3) & ! [v3: $i] : (v3 = v2 | v3 = v1 | ~ % 136.53/18.92 | $i(v3) | ~ min_precedes(v0, v3, tptp0)) & (occurrence_of(v2, % 136.53/18.92 | tptp1) | occurrence_of(v2, tptp2))) % 136.53/18.92 | % 136.53/18.92 | GROUND_INST: instantiating (sos) with tptp0, all_68_0, simplifying with (2), % 136.53/18.92 | (3), (58), (61) gives: % 136.53/18.92 | (73) ? [v0: $i] : ($i(v0) & subactivity_occurrence(v0, all_68_0) & % 136.53/18.92 | root(v0, tptp0)) % 136.53/18.92 | % 136.53/18.92 | GROUND_INST: instantiating (5) with all_70_0, simplifying with (63), (65) % 136.53/18.92 | gives: % 136.53/18.92 | (74) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & $i(v0) & % 136.53/18.92 | min_precedes(v1, v2, tptp0) & min_precedes(v0, v1, tptp0) & % 136.53/18.92 | root_occ(v0, all_70_0) & occurrence_of(v1, tptp4) & % 136.53/18.92 | occurrence_of(v0, tptp3) & ! [v3: $i] : (v3 = v2 | v3 = v1 | ~ % 136.53/18.92 | $i(v3) | ~ min_precedes(v0, v3, tptp0)) & (occurrence_of(v2, % 136.53/18.92 | tptp1) | occurrence_of(v2, tptp2))) % 136.53/18.92 | % 136.53/18.92 | GROUND_INST: instantiating (7) with all_51_2, all_70_0, tptp0, simplifying % 136.53/18.92 | with (3), (29), (63), (64), (65) gives: % 136.53/18.92 | (75) ~ root(all_51_2, tptp0) | root_occ(all_51_2, all_70_0) % 136.53/18.92 | % 136.53/18.92 | GROUND_INST: instantiating (sos_27) with all_51_2, all_51_1, tptp0, all_68_0, % 136.53/18.92 | simplifying with (3), (27), (29), (30), (58), (59), (61) gives: % 136.53/18.92 | (76) subactivity_occurrence(all_51_2, all_68_0) % 136.53/18.92 | % 136.53/18.92 | GROUND_INST: instantiating (10) with all_51_0, all_68_0, simplifying with % 136.53/18.92 | (31), (60), (61) gives: % 136.53/18.92 | (77) activity_occurrence(all_68_0) % 136.53/18.92 | % 136.53/18.92 | GROUND_INST: instantiating (sos_29) with all_51_2, all_49_0, all_36_0, % 136.53/18.92 | all_62_0, simplifying with (14), (23), (26), (29), (35), (48), % 136.53/18.92 | (49) gives: % 136.53/18.93 | (78) all_51_2 = all_49_0 % 136.53/18.93 | % 136.53/18.93 | GROUND_INST: instantiating (sos_27) with all_60_0, all_51_1, tptp0, all_68_0, % 136.53/18.93 | simplifying with (3), (30), (45), (46), (58), (59), (61) gives: % 136.53/18.93 | (79) subactivity_occurrence(all_60_0, all_68_0) % 136.53/18.93 | % 136.53/18.93 | GROUND_INST: instantiating (sos_27) with all_64_0, all_51_0, tptp0, all_68_0, % 136.53/18.93 | simplifying with (3), (31), (52), (53), (58), (60), (61) gives: % 136.53/18.93 | (80) subactivity_occurrence(all_64_0, all_68_0) % 136.53/18.93 | % 136.53/18.93 | GROUND_INST: instantiating (sos_12) with all_49_0, simplifying with (23), (36) % 136.53/18.93 | gives: % 136.53/18.93 | (81) ? [v0: $i] : ($i(v0) & activity(v0) & occurrence_of(all_49_0, v0)) % 136.53/18.93 | % 136.53/18.93 | GROUND_INST: instantiating (sos_12) with all_51_2, simplifying with (29), (33) % 136.53/18.93 | gives: % 136.53/18.93 | (82) ? [v0: $i] : ($i(v0) & activity(v0) & occurrence_of(all_51_2, v0)) % 136.53/18.93 | % 136.53/18.93 | GROUND_INST: instantiating (8) with all_49_0, all_66_0, simplifying with (23), % 136.53/18.93 | (55), (56) gives: % 136.53/18.93 | (83) ? [v0: $i] : ($i(v0) & subactivity(all_66_0, v0) & atomic(v0) & % 136.53/18.93 | occurrence_of(all_49_0, v0)) % 136.53/18.93 | % 136.53/18.93 | COMBINE_EQS: (70), (71) imply: % 136.53/18.93 | (84) all_62_0 = tptp0 % 136.53/18.93 | % 136.53/18.93 | DELTA: instantiating (41) with fresh symbol all_96_0 gives: % 136.53/18.93 | (85) $i(all_96_0) & min_precedes(all_96_0, all_51_0, tptp0) & % 136.53/18.93 | root(all_96_0, tptp0) % 136.53/18.93 | % 136.53/18.93 | ALPHA: (85) implies: % 136.53/18.93 | (86) root(all_96_0, tptp0) % 136.53/18.93 | (87) min_precedes(all_96_0, all_51_0, tptp0) % 136.53/18.93 | (88) $i(all_96_0) % 136.53/18.93 | % 136.53/18.93 | DELTA: instantiating (73) with fresh symbol all_104_0 gives: % 136.53/18.93 | (89) $i(all_104_0) & subactivity_occurrence(all_104_0, all_68_0) & % 136.53/18.93 | root(all_104_0, tptp0) % 136.53/18.93 | % 136.53/18.93 | ALPHA: (89) implies: % 136.53/18.93 | (90) root(all_104_0, tptp0) % 136.53/18.93 | (91) subactivity_occurrence(all_104_0, all_68_0) % 136.53/18.93 | (92) $i(all_104_0) % 136.53/18.93 | % 136.53/18.93 | DELTA: instantiating (82) with fresh symbol all_108_0 gives: % 136.53/18.93 | (93) $i(all_108_0) & activity(all_108_0) & occurrence_of(all_51_2, % 136.53/18.93 | all_108_0) % 136.53/18.93 | % 136.53/18.93 | ALPHA: (93) implies: % 136.53/18.93 | (94) occurrence_of(all_51_2, all_108_0) % 136.53/18.93 | (95) $i(all_108_0) % 136.53/18.93 | % 136.53/18.93 | DELTA: instantiating (81) with fresh symbol all_110_0 gives: % 136.53/18.93 | (96) $i(all_110_0) & activity(all_110_0) & occurrence_of(all_49_0, % 136.53/18.93 | all_110_0) % 136.53/18.93 | % 136.53/18.93 | ALPHA: (96) implies: % 136.53/18.93 | (97) occurrence_of(all_49_0, all_110_0) % 136.53/18.93 | (98) $i(all_110_0) % 136.53/18.93 | % 136.53/18.93 | DELTA: instantiating (83) with fresh symbol all_122_0 gives: % 136.53/18.93 | (99) $i(all_122_0) & subactivity(all_66_0, all_122_0) & atomic(all_122_0) & % 136.53/18.93 | occurrence_of(all_49_0, all_122_0) % 136.53/18.93 | % 136.53/18.93 | ALPHA: (99) implies: % 136.53/18.93 | (100) occurrence_of(all_49_0, all_122_0) % 136.53/18.93 | (101) $i(all_122_0) % 136.53/18.93 | % 136.53/18.93 | DELTA: instantiating (72) with fresh symbols all_124_0, all_124_1, all_124_2 % 136.53/18.93 | gives: % 136.53/18.93 | (102) $i(all_124_0) & $i(all_124_1) & $i(all_124_2) & % 136.53/18.93 | min_precedes(all_124_1, all_124_0, tptp0) & min_precedes(all_124_2, % 136.53/18.93 | all_124_1, tptp0) & root_occ(all_124_2, all_68_0) & % 136.53/18.93 | occurrence_of(all_124_1, tptp4) & occurrence_of(all_124_2, tptp3) & % 136.53/18.93 | ! [v0: any] : (v0 = all_124_0 | v0 = all_124_1 | ~ $i(v0) | ~ % 136.53/18.93 | min_precedes(all_124_2, v0, tptp0)) & (occurrence_of(all_124_0, % 136.53/18.93 | tptp1) | occurrence_of(all_124_0, tptp2)) % 136.53/18.93 | % 136.53/18.93 | ALPHA: (102) implies: % 136.53/18.93 | (103) root_occ(all_124_2, all_68_0) % 136.53/18.93 | (104) $i(all_124_2) % 136.53/18.93 | % 136.53/18.93 | DELTA: instantiating (74) with fresh symbols all_127_0, all_127_1, all_127_2 % 136.53/18.93 | gives: % 136.53/18.94 | (105) $i(all_127_0) & $i(all_127_1) & $i(all_127_2) & % 136.53/18.94 | min_precedes(all_127_1, all_127_0, tptp0) & min_precedes(all_127_2, % 136.53/18.94 | all_127_1, tptp0) & root_occ(all_127_2, all_70_0) & % 136.53/18.94 | occurrence_of(all_127_1, tptp4) & occurrence_of(all_127_2, tptp3) & % 136.53/18.94 | ! [v0: any] : (v0 = all_127_0 | v0 = all_127_1 | ~ $i(v0) | ~ % 136.53/18.94 | min_precedes(all_127_2, v0, tptp0)) & (occurrence_of(all_127_0, % 136.53/18.94 | tptp1) | occurrence_of(all_127_0, tptp2)) % 136.53/18.94 | % 136.53/18.94 | ALPHA: (105) implies: % 136.53/18.94 | (106) root_occ(all_127_2, all_70_0) % 136.53/18.94 | (107) $i(all_127_2) % 136.53/18.94 | % 136.53/18.94 | REDUCE: (76), (78) imply: % 136.53/18.94 | (108) subactivity_occurrence(all_49_0, all_68_0) % 136.53/18.94 | % 136.53/18.94 | REDUCE: (78), (94) imply: % 136.53/18.94 | (109) occurrence_of(all_49_0, all_108_0) % 136.53/18.94 | % 136.53/18.94 | REDUCE: (25), (78) imply: % 136.53/18.94 | (110) occurrence_of(all_49_0, tptp3) % 136.53/18.94 | % 136.53/18.94 | BETA: splitting (75) gives: % 136.53/18.94 | % 136.53/18.94 | Case 1: % 136.53/18.94 | | % 136.53/18.94 | | (111) ~ root(all_51_2, tptp0) % 136.53/18.94 | | % 136.53/18.94 | | REDUCE: (78), (111) imply: % 136.53/18.94 | | (112) ~ root(all_49_0, tptp0) % 136.53/18.94 | | % 136.53/18.94 | | PRED_UNIFY: (21), (112) imply: % 136.53/18.94 | | (113) $false % 136.53/18.94 | | % 136.53/18.94 | | CLOSE: (113) is inconsistent. % 136.53/18.94 | | % 136.53/18.94 | Case 2: % 136.53/18.94 | | % 136.53/18.94 | | (114) root(all_51_2, tptp0) % 136.53/18.94 | | (115) root_occ(all_51_2, all_70_0) % 136.53/18.94 | | % 136.53/18.94 | | REDUCE: (78), (115) imply: % 136.53/18.94 | | (116) root_occ(all_49_0, all_70_0) % 136.53/18.94 | | % 136.53/18.94 | | GROUND_INST: instantiating (sos_08) with all_49_0, all_110_0, all_122_0, % 136.53/18.94 | | simplifying with (23), (97), (98), (100), (101) gives: % 136.53/18.94 | | (117) all_122_0 = all_110_0 % 136.53/18.94 | | % 136.53/18.94 | | GROUND_INST: instantiating (sos_08) with all_49_0, all_108_0, all_122_0, % 136.53/18.94 | | simplifying with (23), (95), (100), (101), (109) gives: % 136.53/18.94 | | (118) all_122_0 = all_108_0 % 136.53/18.94 | | % 136.53/18.94 | | GROUND_INST: instantiating (sos_08) with all_49_0, tptp3, all_122_0, % 136.53/18.94 | | simplifying with (4), (23), (100), (101), (110) gives: % 136.53/18.94 | | (119) all_122_0 = tptp3 % 136.53/18.94 | | % 136.53/18.94 | | GROUND_INST: instantiating (7) with all_49_0, all_68_0, tptp0, simplifying % 136.53/18.94 | | with (3), (21), (23), (58), (61), (108) gives: % 136.53/18.94 | | (120) root_occ(all_49_0, all_68_0) % 136.53/18.94 | | % 136.53/18.95 | | GROUND_INST: instantiating (7) with all_60_0, all_68_0, tptp0, simplifying % 136.53/18.95 | | with (3), (44), (46), (58), (61), (79) gives: % 136.53/18.95 | | (121) root_occ(all_60_0, all_68_0) % 136.53/18.95 | | % 136.53/18.95 | | GROUND_INST: instantiating (7) with all_64_0, all_68_0, tptp0, simplifying % 136.53/18.95 | | with (3), (51), (53), (58), (61), (80) gives: % 136.53/18.95 | | (122) root_occ(all_64_0, all_68_0) % 136.53/18.95 | | % 136.53/18.95 | | GROUND_INST: instantiating (7) with all_104_0, all_68_0, tptp0, simplifying % 136.53/18.95 | | with (3), (58), (61), (90), (91), (92) gives: % 136.53/18.95 | | (123) root_occ(all_104_0, all_68_0) % 136.53/18.95 | | % 136.53/18.95 | | GROUND_INST: instantiating (7) with all_96_0, all_68_0, tptp0, simplifying % 136.53/18.95 | | with (3), (58), (61), (86), (88) gives: % 136.53/18.95 | | (124) ~ subactivity_occurrence(all_96_0, all_68_0) | root_occ(all_96_0, % 136.53/18.95 | | all_68_0) % 136.53/18.95 | | % 136.53/18.95 | | GROUND_INST: instantiating (sos_29) with all_49_0, all_127_2, all_70_0, % 136.53/18.95 | | tptp0, simplifying with (3), (23), (63), (65), (106), (107), % 136.53/18.95 | | (116) gives: % 136.53/18.95 | | (125) all_127_2 = all_49_0 % 136.53/18.95 | | % 136.53/18.95 | | GROUND_INST: instantiating (sos_27) with all_96_0, all_51_0, tptp0, % 136.53/18.95 | | all_68_0, simplifying with (3), (31), (58), (60), (61), (87), % 136.53/18.95 | | (88) gives: % 136.53/18.95 | | (126) subactivity_occurrence(all_96_0, all_68_0) % 136.53/18.95 | | % 136.53/18.95 | | GROUND_INST: instantiating (sos_12) with all_68_0, simplifying with (61), % 136.53/18.95 | | (77) gives: % 136.53/18.95 | | (127) ? [v0: $i] : ($i(v0) & activity(v0) & occurrence_of(all_68_0, v0)) % 136.53/18.95 | | % 136.53/18.95 | | COMBINE_EQS: (117), (119) imply: % 136.53/18.95 | | (128) all_110_0 = tptp3 % 136.53/18.95 | | % 136.53/18.95 | | COMBINE_EQS: (117), (118) imply: % 136.53/18.95 | | (129) all_110_0 = all_108_0 % 136.53/18.95 | | % 136.53/18.95 | | COMBINE_EQS: (128), (129) imply: % 136.53/18.95 | | (130) all_108_0 = tptp3 % 136.53/18.95 | | % 136.53/18.95 | | DELTA: instantiating (127) with fresh symbol all_175_0 gives: % 136.53/18.95 | | (131) $i(all_175_0) & activity(all_175_0) & occurrence_of(all_68_0, % 136.53/18.95 | | all_175_0) % 136.53/18.95 | | % 136.53/18.95 | | ALPHA: (131) implies: % 136.53/18.95 | | (132) occurrence_of(all_68_0, all_175_0) % 136.53/18.95 | | (133) $i(all_175_0) % 136.53/18.95 | | % 136.53/18.95 | | BETA: splitting (124) gives: % 136.53/18.95 | | % 136.53/18.95 | | Case 1: % 136.53/18.95 | | | % 136.53/18.95 | | | (134) ~ subactivity_occurrence(all_96_0, all_68_0) % 136.53/18.95 | | | % 136.53/18.95 | | | PRED_UNIFY: (126), (134) imply: % 136.53/18.95 | | | (135) $false % 136.53/18.95 | | | % 136.53/18.95 | | | CLOSE: (135) is inconsistent. % 136.53/18.95 | | | % 136.53/18.95 | | Case 2: % 136.53/18.95 | | | % 136.53/18.95 | | | (136) root_occ(all_96_0, all_68_0) % 136.53/18.95 | | | % 136.53/18.95 | | | BETA: splitting (32) gives: % 136.53/18.95 | | | % 136.53/18.95 | | | Case 1: % 136.53/18.95 | | | | % 136.53/18.95 | | | | (137) occurrence_of(all_51_0, tptp1) % 136.53/18.95 | | | | % 136.53/18.95 | | | | GROUND_INST: instantiating (sos_29) with all_124_2, all_64_0, all_68_0, % 136.53/18.95 | | | | all_175_0, simplifying with (53), (61), (103), (104), % 136.53/18.95 | | | | (122), (132), (133) gives: % 136.53/18.95 | | | | (138) all_124_2 = all_64_0 % 136.53/18.95 | | | | % 136.53/18.95 | | | | GROUND_INST: instantiating (sos_29) with all_124_2, all_96_0, all_68_0, % 136.53/18.95 | | | | all_175_0, simplifying with (61), (88), (103), (104), % 136.53/18.95 | | | | (132), (133), (136) gives: % 136.53/18.95 | | | | (139) all_124_2 = all_96_0 % 136.53/18.95 | | | | % 136.53/18.95 | | | | GROUND_INST: instantiating (sos_29) with all_49_0, all_96_0, all_68_0, % 136.53/18.95 | | | | all_175_0, simplifying with (23), (61), (88), (120), (132), % 136.53/18.95 | | | | (133), (136) gives: % 136.53/18.96 | | | | (140) all_96_0 = all_49_0 % 136.53/18.96 | | | | % 136.53/18.96 | | | | GROUND_INST: instantiating (sos_29) with all_124_2, all_104_0, all_68_0, % 136.53/18.96 | | | | all_175_0, simplifying with (61), (92), (103), (104), % 136.53/18.96 | | | | (123), (132), (133) gives: % 136.53/18.96 | | | | (141) all_124_2 = all_104_0 % 136.53/18.96 | | | | % 136.53/18.96 | | | | GROUND_INST: instantiating (16) with all_49_0, all_51_0, simplifying % 136.53/18.96 | | | | with (23), (31), (35), (110), (137) gives: % 136.53/18.96 | | | | (142) ~ min_precedes(all_49_0, all_51_0, tptp0) % 136.53/18.96 | | | | % 136.53/18.96 | | | | COMBINE_EQS: (139), (141) imply: % 136.53/18.96 | | | | (143) all_104_0 = all_96_0 % 136.53/18.96 | | | | % 136.53/18.96 | | | | COMBINE_EQS: (138), (141) imply: % 136.53/18.96 | | | | (144) all_104_0 = all_64_0 % 136.53/18.96 | | | | % 136.53/18.96 | | | | COMBINE_EQS: (143), (144) imply: % 136.53/18.96 | | | | (145) all_96_0 = all_64_0 % 136.53/18.96 | | | | % 136.53/18.96 | | | | SIMP: (145) implies: % 136.53/18.96 | | | | (146) all_96_0 = all_64_0 % 136.53/18.96 | | | | % 136.53/18.96 | | | | COMBINE_EQS: (140), (146) imply: % 136.53/18.96 | | | | (147) all_64_0 = all_49_0 % 136.53/18.96 | | | | % 136.53/18.96 | | | | REDUCE: (52), (147) imply: % 136.53/18.96 | | | | (148) min_precedes(all_49_0, all_51_0, tptp0) % 136.53/18.96 | | | | % 136.53/18.96 | | | | PRED_UNIFY: (142), (148) imply: % 136.53/18.96 | | | | (149) $false % 136.53/18.96 | | | | % 136.53/18.96 | | | | CLOSE: (149) is inconsistent. % 136.53/18.96 | | | | % 136.53/18.96 | | | Case 2: % 136.53/18.96 | | | | % 136.53/18.96 | | | | (150) occurrence_of(all_51_0, tptp2) % 136.53/18.96 | | | | % 136.53/18.96 | | | | GROUND_INST: instantiating (sos_29) with all_124_2, all_49_0, all_68_0, % 136.53/18.96 | | | | all_175_0, simplifying with (23), (61), (103), (104), % 136.53/18.96 | | | | (120), (132), (133) gives: % 136.53/18.96 | | | | (151) all_124_2 = all_49_0 % 136.53/18.96 | | | | % 136.77/18.96 | | | | GROUND_INST: instantiating (sos_29) with all_124_2, all_96_0, all_68_0, % 136.77/18.96 | | | | all_175_0, simplifying with (61), (88), (103), (104), % 136.77/18.96 | | | | (132), (133), (136) gives: % 136.77/18.96 | | | | (152) all_124_2 = all_96_0 % 136.77/18.96 | | | | % 136.77/18.96 | | | | GROUND_INST: instantiating (sos_29) with all_64_0, all_96_0, all_68_0, % 136.77/18.96 | | | | all_175_0, simplifying with (53), (61), (88), (122), (132), % 136.77/18.96 | | | | (133), (136) gives: % 136.77/18.96 | | | | (153) all_96_0 = all_64_0 % 136.77/18.96 | | | | % 136.77/18.96 | | | | GROUND_INST: instantiating (sos_29) with all_64_0, all_104_0, all_68_0, % 136.77/18.96 | | | | all_175_0, simplifying with (53), (61), (92), (122), (123), % 136.77/18.96 | | | | (132), (133) gives: % 136.77/18.96 | | | | (154) all_104_0 = all_64_0 % 136.77/18.96 | | | | % 136.77/18.96 | | | | GROUND_INST: instantiating (sos_29) with all_60_0, all_104_0, all_68_0, % 136.77/18.96 | | | | all_175_0, simplifying with (46), (61), (92), (121), (123), % 136.77/18.96 | | | | (132), (133) gives: % 136.77/18.96 | | | | (155) all_104_0 = all_60_0 % 136.77/18.96 | | | | % 136.77/18.96 | | | | GROUND_INST: instantiating (15) with all_49_0, all_51_0, simplifying % 136.77/18.96 | | | | with (23), (31), (35), (110), (150) gives: % 136.77/18.96 | | | | (156) ~ min_precedes(all_49_0, all_51_0, tptp0) % 136.77/18.96 | | | | % 136.77/18.96 | | | | COMBINE_EQS: (151), (152) imply: % 136.77/18.96 | | | | (157) all_96_0 = all_49_0 % 136.77/18.96 | | | | % 136.77/18.96 | | | | SIMP: (157) implies: % 136.77/18.96 | | | | (158) all_96_0 = all_49_0 % 136.77/18.96 | | | | % 136.77/18.96 | | | | COMBINE_EQS: (154), (155) imply: % 136.77/18.96 | | | | (159) all_64_0 = all_60_0 % 136.77/18.96 | | | | % 136.77/18.96 | | | | SIMP: (159) implies: % 136.77/18.96 | | | | (160) all_64_0 = all_60_0 % 136.77/18.96 | | | | % 136.77/18.96 | | | | COMBINE_EQS: (153), (158) imply: % 136.77/18.96 | | | | (161) all_64_0 = all_49_0 % 136.77/18.96 | | | | % 136.77/18.96 | | | | SIMP: (161) implies: % 136.77/18.96 | | | | (162) all_64_0 = all_49_0 % 136.77/18.96 | | | | % 136.77/18.96 | | | | COMBINE_EQS: (160), (162) imply: % 136.77/18.96 | | | | (163) all_60_0 = all_49_0 % 136.77/18.96 | | | | % 136.77/18.96 | | | | REDUCE: (52), (162) imply: % 136.77/18.96 | | | | (164) min_precedes(all_49_0, all_51_0, tptp0) % 136.77/18.96 | | | | % 136.77/18.96 | | | | PRED_UNIFY: (156), (164) imply: % 136.77/18.96 | | | | (165) $false % 136.77/18.96 | | | | % 136.77/18.96 | | | | CLOSE: (165) is inconsistent. % 136.77/18.96 | | | | % 136.77/18.96 | | | End of split % 136.77/18.96 | | | % 136.77/18.96 | | End of split % 136.77/18.96 | | % 136.77/18.96 | End of split % 136.77/18.96 | % 136.77/18.96 End of proof % 136.77/18.96 % SZS output end Proof for theBenchmark % 136.77/18.96 % 136.77/18.96 18365ms %------------------------------------------------------------------------------