TSTP Solution File: PRO009+4 by Princess---230619
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%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------