TSTP Solution File: PRO012+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : PRO012+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n027.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 9.63s 2.15s
% Output : Proof 19.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PRO012+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 19:53:52 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.63 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.70/1.16 Prover 4: Preprocessing ...
% 2.70/1.16 Prover 1: Preprocessing ...
% 3.46/1.19 Prover 3: Preprocessing ...
% 3.46/1.19 Prover 6: Preprocessing ...
% 3.46/1.19 Prover 2: Preprocessing ...
% 3.46/1.19 Prover 0: Preprocessing ...
% 3.46/1.19 Prover 5: Preprocessing ...
% 5.93/1.63 Prover 2: Constructing countermodel ...
% 5.93/1.63 Prover 5: Proving ...
% 7.52/1.77 Prover 1: Constructing countermodel ...
% 7.52/1.77 Prover 6: Proving ...
% 7.52/1.80 Prover 3: Constructing countermodel ...
% 9.63/2.06 Prover 4: Constructing countermodel ...
% 9.63/2.13 Prover 5: proved (1490ms)
% 9.63/2.13
% 9.63/2.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.63/2.15
% 9.63/2.15 Prover 6: stopped
% 9.63/2.15 Prover 3: stopped
% 9.63/2.16 Prover 0: Proving ...
% 9.63/2.16 Prover 2: stopped
% 9.63/2.17 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 9.63/2.17 Prover 0: stopped
% 9.63/2.17 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 9.63/2.17 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 9.63/2.17 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 9.63/2.17 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 10.52/2.24 Prover 8: Preprocessing ...
% 10.52/2.25 Prover 11: Preprocessing ...
% 11.09/2.27 Prover 7: Preprocessing ...
% 11.09/2.28 Prover 10: Preprocessing ...
% 11.09/2.29 Prover 13: Preprocessing ...
% 11.60/2.37 Prover 7: Constructing countermodel ...
% 11.60/2.42 Prover 13: Constructing countermodel ...
% 12.29/2.43 Prover 10: Constructing countermodel ...
% 12.75/2.51 Prover 8: Warning: ignoring some quantifiers
% 12.75/2.55 Prover 8: Constructing countermodel ...
% 13.82/2.66 Prover 11: Constructing countermodel ...
% 18.88/3.38 Prover 7: Found proof (size 39)
% 18.88/3.38 Prover 7: proved (1221ms)
% 18.88/3.38 Prover 10: stopped
% 18.88/3.38 Prover 13: stopped
% 18.88/3.38 Prover 11: stopped
% 18.88/3.38 Prover 1: stopped
% 18.88/3.38 Prover 8: stopped
% 18.88/3.38 Prover 4: stopped
% 18.88/3.38
% 18.88/3.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.88/3.38
% 18.88/3.39 % SZS output start Proof for theBenchmark
% 18.88/3.39 Assumptions after simplification:
% 18.88/3.39 ---------------------------------
% 18.88/3.40
% 18.88/3.40 (goals)
% 18.88/3.40 $i(tptp1) & $i(tptp2) & $i(tptp3) & $i(tptp0) & ? [v0: $i] : ($i(v0) &
% 18.88/3.40 occurrence_of(v0, tptp0) & ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~
% 18.88/3.40 $i(v1) | ~ root_occ(v1, v0) | ~ occurrence_of(v2, tptp1) | ~
% 18.88/3.40 occurrence_of(v1, tptp3) | ~ min_precedes(v1, v2, tptp0)) & ! [v1: $i] :
% 18.88/3.40 ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ root_occ(v1, v0) | ~
% 18.88/3.40 occurrence_of(v2, tptp2) | ~ occurrence_of(v1, tptp3) | ~
% 18.88/3.40 min_precedes(v1, v2, tptp0)))
% 18.88/3.40
% 18.88/3.40 (sos)
% 19.49/3.40 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2)
% 19.49/3.40 | ~ $i(v1) | ~ $i(v0) | ~ min_precedes(v1, v2, v3) | ~ min_precedes(v0,
% 19.49/3.40 v1, v3) | min_precedes(v0, v2, v3))
% 19.49/3.40
% 19.49/3.40 (sos_02)
% 19.49/3.41 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ $i(v3) |
% 19.49/3.41 ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ root_occ(v1, v2) | ~ root_occ(v0,
% 19.49/3.41 v2) | ~ occurrence_of(v2, v3))
% 19.49/3.41
% 19.49/3.41 (sos_10)
% 19.49/3.41 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 19.49/3.41 ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~ occurrence_of(v1,
% 19.49/3.41 v2) | root_occ(v0, v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~
% 19.49/3.41 $i(v0) | ~ root_occ(v0, v1) | ? [v2: $i] : ($i(v2) &
% 19.49/3.41 subactivity_occurrence(v0, v1) & root(v0, v2) & occurrence_of(v1, v2)))
% 19.49/3.41
% 19.49/3.41 (sos_18)
% 19.49/3.41 ! [v0: $i] : ( ~ $i(v0) | ~ activity_occurrence(v0) | ? [v1: $i] : ($i(v1)
% 19.49/3.41 & activity(v1) & occurrence_of(v0, v1)))
% 19.49/3.41
% 19.49/3.41 (sos_22)
% 19.49/3.41 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ $i(v2) | ~ $i(v1) |
% 19.49/3.41 ~ $i(v0) | ~ occurrence_of(v0, v2) | ~ occurrence_of(v0, v1))
% 19.49/3.41
% 19.49/3.41 (sos_29)
% 19.49/3.41 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ occurrence_of(v1, v0)
% 19.49/3.41 | activity(v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 19.49/3.41 occurrence_of(v1, v0) | activity_occurrence(v1))
% 19.49/3.41
% 19.49/3.41 (sos_30)
% 19.49/3.41 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ occurrence_of(v1, v0)
% 19.49/3.41 | atomic(v0) | ? [v2: $i] : ($i(v2) & subactivity_occurrence(v2, v1) &
% 19.49/3.41 root(v2, v0)))
% 19.49/3.41
% 19.49/3.41 (sos_32)
% 19.49/3.41 $i(tptp1) & $i(tptp2) & $i(tptp4) & $i(tptp3) & $i(tptp0) & ! [v0: $i] : ( ~
% 19.49/3.41 $i(v0) | ~ occurrence_of(v0, tptp0) | ? [v1: $i] : ? [v2: $i] : ? [v3:
% 19.49/3.41 $i] : ($i(v3) & $i(v2) & $i(v1) & root_occ(v1, v0) & occurrence_of(v2,
% 19.49/3.41 tptp4) & occurrence_of(v1, tptp3) & min_precedes(v2, v3, tptp0) &
% 19.49/3.41 min_precedes(v1, v2, tptp0) & ! [v4: $i] : (v4 = v3 | v4 = v2 | ~ $i(v4)
% 19.49/3.41 | ~ min_precedes(v1, v4, tptp0)) & (occurrence_of(v3, tptp1) |
% 19.49/3.41 occurrence_of(v3, tptp2))))
% 19.49/3.41
% 19.49/3.41 (sos_34)
% 19.49/3.41 $i(tptp0) & ~ atomic(tptp0)
% 19.49/3.41
% 19.49/3.41 (sos_35)
% 19.49/3.41 $i(tptp4) & atomic(tptp4)
% 19.49/3.41
% 19.49/3.41 Further assumptions not needed in the proof:
% 19.49/3.41 --------------------------------------------
% 19.49/3.41 sos_01, sos_03, sos_04, sos_05, sos_06, sos_07, sos_08, sos_09, sos_11, sos_12,
% 19.49/3.41 sos_13, sos_14, sos_15, sos_16, sos_17, sos_19, sos_20, sos_21, sos_23, sos_24,
% 19.49/3.41 sos_25, sos_26, sos_27, sos_28, sos_31, sos_33, sos_36, sos_37, sos_38, sos_39,
% 19.49/3.41 sos_40, sos_41, sos_42, sos_43, sos_44
% 19.49/3.41
% 19.49/3.41 Those formulas are unsatisfiable:
% 19.49/3.41 ---------------------------------
% 19.49/3.41
% 19.49/3.41 Begin of proof
% 19.49/3.41 |
% 19.49/3.42 | ALPHA: (goals) implies:
% 19.49/3.42 | (1) ? [v0: $i] : ($i(v0) & occurrence_of(v0, tptp0) & ! [v1: $i] : !
% 19.49/3.42 | [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ root_occ(v1, v0) | ~
% 19.49/3.42 | occurrence_of(v2, tptp1) | ~ occurrence_of(v1, tptp3) | ~
% 19.49/3.42 | min_precedes(v1, v2, tptp0)) & ! [v1: $i] : ! [v2: $i] : ( ~
% 19.49/3.42 | $i(v2) | ~ $i(v1) | ~ root_occ(v1, v0) | ~ occurrence_of(v2,
% 19.49/3.42 | tptp2) | ~ occurrence_of(v1, tptp3) | ~ min_precedes(v1, v2,
% 19.49/3.42 | tptp0)))
% 19.49/3.42 |
% 19.49/3.42 | ALPHA: (sos_35) implies:
% 19.49/3.42 | (2) atomic(tptp4)
% 19.49/3.42 |
% 19.49/3.42 | ALPHA: (sos_34) implies:
% 19.49/3.42 | (3) ~ atomic(tptp0)
% 19.49/3.42 |
% 19.49/3.42 | ALPHA: (sos_32) implies:
% 19.49/3.42 | (4) $i(tptp0)
% 19.49/3.42 | (5) $i(tptp4)
% 19.49/3.42 | (6) ! [v0: $i] : ( ~ $i(v0) | ~ occurrence_of(v0, tptp0) | ? [v1: $i] :
% 19.49/3.42 | ? [v2: $i] : ? [v3: $i] : ($i(v3) & $i(v2) & $i(v1) & root_occ(v1,
% 19.49/3.42 | v0) & occurrence_of(v2, tptp4) & occurrence_of(v1, tptp3) &
% 19.49/3.42 | min_precedes(v2, v3, tptp0) & min_precedes(v1, v2, tptp0) & ! [v4:
% 19.49/3.42 | $i] : (v4 = v3 | v4 = v2 | ~ $i(v4) | ~ min_precedes(v1, v4,
% 19.49/3.42 | tptp0)) & (occurrence_of(v3, tptp1) | occurrence_of(v3,
% 19.49/3.42 | tptp2))))
% 19.49/3.42 |
% 19.49/3.42 | ALPHA: (sos_29) implies:
% 19.49/3.42 | (7) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 19.49/3.42 | occurrence_of(v1, v0) | activity_occurrence(v1))
% 19.49/3.42 |
% 19.49/3.42 | ALPHA: (sos_10) implies:
% 19.49/3.42 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 19.49/3.42 | $i(v0) | ~ subactivity_occurrence(v0, v1) | ~ root(v0, v2) | ~
% 19.49/3.42 | occurrence_of(v1, v2) | root_occ(v0, v1))
% 19.49/3.42 |
% 19.49/3.42 | DELTA: instantiating (1) with fresh symbol all_36_0 gives:
% 19.49/3.42 | (9) $i(all_36_0) & occurrence_of(all_36_0, tptp0) & ! [v0: $i] : ! [v1:
% 19.49/3.42 | $i] : ( ~ $i(v1) | ~ $i(v0) | ~ root_occ(v0, all_36_0) | ~
% 19.49/3.42 | occurrence_of(v1, tptp1) | ~ occurrence_of(v0, tptp3) | ~
% 19.49/3.42 | min_precedes(v0, v1, tptp0)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1)
% 19.49/3.42 | | ~ $i(v0) | ~ root_occ(v0, all_36_0) | ~ occurrence_of(v1, tptp2)
% 19.49/3.42 | | ~ occurrence_of(v0, tptp3) | ~ min_precedes(v0, v1, tptp0))
% 19.49/3.42 |
% 19.49/3.42 | ALPHA: (9) implies:
% 19.49/3.42 | (10) occurrence_of(all_36_0, tptp0)
% 19.49/3.42 | (11) $i(all_36_0)
% 19.49/3.42 | (12) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ root_occ(v0,
% 19.49/3.42 | all_36_0) | ~ occurrence_of(v1, tptp2) | ~ occurrence_of(v0,
% 19.49/3.42 | tptp3) | ~ min_precedes(v0, v1, tptp0))
% 19.49/3.42 | (13) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ root_occ(v0,
% 19.49/3.42 | all_36_0) | ~ occurrence_of(v1, tptp1) | ~ occurrence_of(v0,
% 19.49/3.42 | tptp3) | ~ min_precedes(v0, v1, tptp0))
% 19.49/3.42 |
% 19.49/3.43 | PRED_UNIFY: (2), (3) imply:
% 19.49/3.43 | (14) ~ (tptp4 = tptp0)
% 19.49/3.43 |
% 19.49/3.43 | GROUND_INST: instantiating (6) with all_36_0, simplifying with (10), (11)
% 19.49/3.43 | gives:
% 19.49/3.43 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & $i(v0) &
% 19.49/3.43 | root_occ(v0, all_36_0) & occurrence_of(v1, tptp4) &
% 19.49/3.43 | occurrence_of(v0, tptp3) & min_precedes(v1, v2, tptp0) &
% 19.49/3.43 | min_precedes(v0, v1, tptp0) & ! [v3: $i] : (v3 = v2 | v3 = v1 | ~
% 19.49/3.43 | $i(v3) | ~ min_precedes(v0, v3, tptp0)) & (occurrence_of(v2,
% 19.49/3.43 | tptp1) | occurrence_of(v2, tptp2)))
% 19.49/3.43 |
% 19.49/3.43 | GROUND_INST: instantiating (7) with tptp0, all_36_0, simplifying with (4),
% 19.49/3.43 | (10), (11) gives:
% 19.49/3.43 | (16) activity_occurrence(all_36_0)
% 19.49/3.43 |
% 19.49/3.43 | GROUND_INST: instantiating (sos_30) with tptp0, all_36_0, simplifying with
% 19.49/3.43 | (3), (4), (10), (11) gives:
% 19.49/3.43 | (17) ? [v0: $i] : ($i(v0) & subactivity_occurrence(v0, all_36_0) &
% 19.49/3.43 | root(v0, tptp0))
% 19.49/3.43 |
% 19.49/3.43 | DELTA: instantiating (17) with fresh symbol all_49_0 gives:
% 19.49/3.43 | (18) $i(all_49_0) & subactivity_occurrence(all_49_0, all_36_0) &
% 19.49/3.43 | root(all_49_0, tptp0)
% 19.49/3.43 |
% 19.49/3.43 | ALPHA: (18) implies:
% 19.49/3.43 | (19) root(all_49_0, tptp0)
% 19.49/3.43 | (20) subactivity_occurrence(all_49_0, all_36_0)
% 19.49/3.43 | (21) $i(all_49_0)
% 19.49/3.43 |
% 19.49/3.43 | DELTA: instantiating (15) with fresh symbols all_51_0, all_51_1, all_51_2
% 19.49/3.43 | gives:
% 19.49/3.43 | (22) $i(all_51_0) & $i(all_51_1) & $i(all_51_2) & root_occ(all_51_2,
% 19.49/3.43 | all_36_0) & occurrence_of(all_51_1, tptp4) & occurrence_of(all_51_2,
% 19.49/3.43 | tptp3) & min_precedes(all_51_1, all_51_0, tptp0) &
% 19.49/3.43 | min_precedes(all_51_2, all_51_1, tptp0) & ! [v0: any] : (v0 =
% 19.49/3.43 | all_51_0 | v0 = all_51_1 | ~ $i(v0) | ~ min_precedes(all_51_2, v0,
% 19.49/3.43 | tptp0)) & (occurrence_of(all_51_0, tptp1) |
% 19.49/3.43 | occurrence_of(all_51_0, tptp2))
% 19.49/3.43 |
% 19.49/3.43 | ALPHA: (22) implies:
% 19.49/3.43 | (23) min_precedes(all_51_2, all_51_1, tptp0)
% 19.49/3.43 | (24) min_precedes(all_51_1, all_51_0, tptp0)
% 19.49/3.43 | (25) occurrence_of(all_51_2, tptp3)
% 19.49/3.43 | (26) root_occ(all_51_2, all_36_0)
% 19.49/3.43 | (27) $i(all_51_2)
% 19.49/3.43 | (28) $i(all_51_1)
% 19.49/3.43 | (29) $i(all_51_0)
% 19.49/3.43 | (30) occurrence_of(all_51_0, tptp1) | occurrence_of(all_51_0, tptp2)
% 19.49/3.43 |
% 19.49/3.43 | GROUND_INST: instantiating (sos) with all_51_2, all_51_1, all_51_0, tptp0,
% 19.49/3.43 | simplifying with (4), (23), (24), (27), (28), (29) gives:
% 19.49/3.43 | (31) min_precedes(all_51_2, all_51_0, tptp0)
% 19.49/3.43 |
% 19.49/3.43 | GROUND_INST: instantiating (sos_22) with all_36_0, tptp0, tptp4, simplifying
% 19.49/3.43 | with (4), (5), (10), (11) gives:
% 19.49/3.43 | (32) tptp4 = tptp0 | ~ occurrence_of(all_36_0, tptp4)
% 19.49/3.43 |
% 19.49/3.43 | GROUND_INST: instantiating (8) with all_49_0, all_36_0, tptp0, simplifying
% 19.49/3.43 | with (4), (10), (11), (19), (20), (21) gives:
% 19.49/3.43 | (33) root_occ(all_49_0, all_36_0)
% 19.49/3.43 |
% 19.49/3.44 | GROUND_INST: instantiating (sos_18) with all_36_0, simplifying with (11), (16)
% 19.49/3.44 | gives:
% 19.49/3.44 | (34) ? [v0: $i] : ($i(v0) & activity(v0) & occurrence_of(all_36_0, v0))
% 19.49/3.44 |
% 19.49/3.44 | DELTA: instantiating (34) with fresh symbol all_62_0 gives:
% 19.49/3.44 | (35) $i(all_62_0) & activity(all_62_0) & occurrence_of(all_36_0, all_62_0)
% 19.49/3.44 |
% 19.49/3.44 | ALPHA: (35) implies:
% 19.49/3.44 | (36) occurrence_of(all_36_0, all_62_0)
% 19.49/3.44 | (37) $i(all_62_0)
% 19.49/3.44 |
% 19.49/3.44 | BETA: splitting (32) gives:
% 19.49/3.44 |
% 19.49/3.44 | Case 1:
% 19.49/3.44 | |
% 19.49/3.44 | |
% 19.49/3.44 | | GROUND_INST: instantiating (sos_02) with all_51_2, all_49_0, all_36_0,
% 19.49/3.44 | | all_62_0, simplifying with (11), (21), (26), (27), (33), (36),
% 19.49/3.44 | | (37) gives:
% 19.49/3.44 | | (38) all_51_2 = all_49_0
% 19.49/3.44 | |
% 19.49/3.44 | | REDUCE: (25), (38) imply:
% 19.49/3.44 | | (39) occurrence_of(all_49_0, tptp3)
% 19.49/3.44 | |
% 19.49/3.44 | | REDUCE: (31), (38) imply:
% 19.49/3.44 | | (40) min_precedes(all_49_0, all_51_0, tptp0)
% 19.49/3.44 | |
% 19.49/3.44 | | GROUND_INST: instantiating (13) with all_49_0, all_51_0, simplifying with
% 19.49/3.44 | | (21), (29), (33), (39), (40) gives:
% 19.49/3.44 | | (41) ~ occurrence_of(all_51_0, tptp1)
% 19.49/3.44 | |
% 19.49/3.44 | | GROUND_INST: instantiating (12) with all_49_0, all_51_0, simplifying with
% 19.49/3.44 | | (21), (29), (33), (39), (40) gives:
% 19.49/3.44 | | (42) ~ occurrence_of(all_51_0, tptp2)
% 19.49/3.44 | |
% 19.49/3.44 | | BETA: splitting (30) gives:
% 19.49/3.44 | |
% 19.49/3.44 | | Case 1:
% 19.49/3.44 | | |
% 19.49/3.44 | | | (43) occurrence_of(all_51_0, tptp1)
% 19.49/3.44 | | |
% 19.49/3.44 | | | PRED_UNIFY: (41), (43) imply:
% 19.49/3.44 | | | (44) $false
% 19.49/3.44 | | |
% 19.49/3.44 | | | CLOSE: (44) is inconsistent.
% 19.49/3.44 | | |
% 19.49/3.44 | | Case 2:
% 19.49/3.44 | | |
% 19.49/3.44 | | | (45) occurrence_of(all_51_0, tptp2)
% 19.49/3.44 | | |
% 19.49/3.44 | | | PRED_UNIFY: (42), (45) imply:
% 19.49/3.44 | | | (46) $false
% 19.49/3.44 | | |
% 19.49/3.44 | | | CLOSE: (46) is inconsistent.
% 19.49/3.44 | | |
% 19.49/3.44 | | End of split
% 19.49/3.44 | |
% 19.49/3.44 | Case 2:
% 19.49/3.44 | |
% 19.49/3.44 | | (47) tptp4 = tptp0
% 19.49/3.44 | |
% 19.49/3.44 | | REDUCE: (14), (47) imply:
% 19.49/3.44 | | (48) $false
% 19.49/3.44 | |
% 19.49/3.44 | | CLOSE: (48) is inconsistent.
% 19.49/3.44 | |
% 19.49/3.44 | End of split
% 19.49/3.44 |
% 19.49/3.44 End of proof
% 19.49/3.44 % SZS output end Proof for theBenchmark
% 19.49/3.44
% 19.49/3.44 2828ms
%------------------------------------------------------------------------------