TSTP Solution File: CSR074+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR074+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 21:37:14 EDT 2023
% Result : Theorem 7.58s 1.79s
% Output : Proof 11.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR074+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 10:28:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.20/1.15 Prover 4: Preprocessing ...
% 3.20/1.15 Prover 1: Preprocessing ...
% 3.20/1.19 Prover 0: Preprocessing ...
% 3.20/1.19 Prover 3: Preprocessing ...
% 3.20/1.19 Prover 2: Preprocessing ...
% 3.20/1.19 Prover 5: Preprocessing ...
% 3.20/1.19 Prover 6: Preprocessing ...
% 5.27/1.50 Prover 2: Constructing countermodel ...
% 5.87/1.51 Prover 5: Constructing countermodel ...
% 6.40/1.58 Prover 6: Constructing countermodel ...
% 6.40/1.61 Prover 3: Constructing countermodel ...
% 6.40/1.65 Prover 1: Constructing countermodel ...
% 7.31/1.72 Prover 4: Constructing countermodel ...
% 7.58/1.77 Prover 0: Proving ...
% 7.58/1.79 Prover 5: proved (1155ms)
% 7.58/1.79
% 7.58/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.58/1.79
% 7.58/1.79 Prover 2: proved (1160ms)
% 7.58/1.79
% 7.58/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.58/1.79
% 7.58/1.79 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 7.58/1.79 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.58/1.79 Prover 3: stopped
% 8.14/1.80 Prover 0: stopped
% 8.14/1.81 Prover 6: stopped
% 8.14/1.85 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.14/1.85 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.14/1.85 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 8.62/1.88 Prover 8: Preprocessing ...
% 8.62/1.88 Prover 7: Preprocessing ...
% 8.62/1.92 Prover 10: Preprocessing ...
% 8.62/1.92 Prover 13: Preprocessing ...
% 8.62/1.92 Prover 11: Preprocessing ...
% 8.62/1.94 Prover 7: Constructing countermodel ...
% 8.62/1.96 Prover 10: Constructing countermodel ...
% 8.62/2.01 Prover 13: Constructing countermodel ...
% 10.02/2.08 Prover 4: Found proof (size 75)
% 10.02/2.09 Prover 4: proved (1453ms)
% 10.02/2.09 Prover 13: stopped
% 10.02/2.09 Prover 7: stopped
% 10.02/2.09 Prover 10: stopped
% 10.02/2.09 Prover 1: stopped
% 10.27/2.10 Prover 8: Warning: ignoring some quantifiers
% 10.27/2.11 Prover 8: Constructing countermodel ...
% 10.27/2.12 Prover 8: stopped
% 10.53/2.16 Prover 11: Constructing countermodel ...
% 10.53/2.17 Prover 11: stopped
% 10.53/2.17
% 10.53/2.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.53/2.17
% 10.53/2.18 % SZS output start Proof for theBenchmark
% 10.53/2.19 Assumptions after simplification:
% 10.53/2.19 ---------------------------------
% 10.53/2.19
% 10.53/2.19 (just10)
% 10.86/2.21 $i(c_georegion_l3_x17_y24) & $i(c_worldgeographymt) & ? [v0: any] : ? [v1:
% 10.86/2.21 any] : (mtvisible(c_worldgeographymt) = v0 &
% 10.86/2.21 geolevel_3(c_georegion_l3_x17_y24) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 10.86/2.21
% 10.86/2.21 (just11)
% 10.86/2.21 $i(c_georegion_l4_x53_y74) & $i(c_georegion_l3_x17_y24) &
% 10.86/2.21 $i(c_tptpgeo_member7_mt) & ? [v0: any] : ? [v1: any] :
% 10.86/2.21 (mtvisible(c_tptpgeo_member7_mt) = v0 &
% 10.86/2.21 geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74) = v1
% 10.86/2.21 & ( ~ (v0 = 0) | v1 = 0))
% 10.86/2.21
% 10.86/2.21 (just12)
% 10.86/2.22 $i(c_geolocation_x53_y74) & $i(c_georegion_l4_x53_y74) &
% 10.86/2.22 $i(c_tptpgeo_member7_mt) & ? [v0: any] : ? [v1: any] :
% 10.86/2.22 (mtvisible(c_tptpgeo_member7_mt) = v0 & inregion(c_geolocation_x53_y74,
% 10.86/2.22 c_georegion_l4_x53_y74) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 10.86/2.22
% 10.86/2.22 (just3)
% 10.86/2.22 genlmt(c_worldgeographymt, c_geographymt) = 0 & $i(c_worldgeographymt) &
% 10.86/2.22 $i(c_geographymt)
% 10.86/2.22
% 10.86/2.22 (just41)
% 10.86/2.22 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 10.86/2.22 (inregion(v1, v2) = 0) | ~ (inregion(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1)
% 10.86/2.22 | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & inregion(v0, v1) = v4)) & !
% 10.86/2.22 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 10.86/2.22 (inregion(v0, v2) = v3) | ~ (inregion(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1)
% 10.86/2.22 | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & inregion(v1, v2) = v4)) & !
% 10.86/2.22 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (inregion(v1, v2) = 0) | ~
% 10.86/2.22 (inregion(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | inregion(v0,
% 10.86/2.22 v2) = 0)
% 10.86/2.22
% 10.86/2.22 (just49)
% 10.86/2.22 ! [v0: $i] : ! [v1: $i] : ( ~ (genlmt(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) |
% 10.86/2.22 ? [v2: any] : ? [v3: any] : (mtvisible(v1) = v3 & mtvisible(v0) = v2 & ( ~
% 10.86/2.22 (v2 = 0) | v3 = 0)))
% 10.86/2.22
% 10.86/2.22 (just5)
% 10.86/2.22 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (inregion(v1, v0) =
% 10.86/2.22 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 10.86/2.22 geographicalsubregions(v0, v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 10.86/2.22 (geographicalsubregions(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | inregion(v1,
% 10.86/2.22 v0) = 0)
% 10.86/2.22
% 10.86/2.22 (just8)
% 10.86/2.22 genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = 0 &
% 10.86/2.23 $i(c_tptpgeo_spindleheadmt) & $i(c_worldgeographymt)
% 10.86/2.23
% 10.86/2.23 (just9)
% 10.86/2.23 genlmt(c_tptpgeo_member7_mt, c_tptpgeo_spindleheadmt) = 0 &
% 10.86/2.23 $i(c_tptpgeo_member7_mt) & $i(c_tptpgeo_spindleheadmt)
% 10.86/2.23
% 10.86/2.23 (query74)
% 10.86/2.23 $i(c_geolocation_x53_y74) & $i(c_georegion_l3_x17_y24) &
% 10.86/2.23 $i(c_tptpgeo_member7_mt) & ? [v0: any] : ? [v1: any] :
% 10.86/2.23 (mtvisible(c_tptpgeo_member7_mt) = 0 & geolevel_3(c_georegion_l3_x17_y24) = v1
% 10.86/2.23 & inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24) = v0 & ( ~ (v1 =
% 10.86/2.23 0) | ~ (v0 = 0)))
% 10.86/2.23
% 10.86/2.23 (function-axioms)
% 10.86/2.23 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 10.86/2.23 [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & !
% 10.86/2.23 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 10.86/2.23 $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0))
% 10.86/2.23 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 10.86/2.23 [v3: $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3,
% 10.86/2.23 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 10.86/2.23 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2)
% 10.86/2.23 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 10.86/2.23 $i] : ! [v3: $i] : (v1 = v0 | ~ (inregion(v3, v2) = v1) | ~ (inregion(v3,
% 10.86/2.23 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 10.86/2.23 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (geographicalsubregions(v3, v2) = v1)
% 10.86/2.23 | ~ (geographicalsubregions(v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 10.86/2.23 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 10.86/2.23 (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0:
% 10.86/2.23 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 10.86/2.23 : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0:
% 10.86/2.23 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 10.86/2.23 ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0:
% 10.86/2.23 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 10.86/2.23 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 10.86/2.23 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 10.86/2.23 (spatialthing_nonsituational(v2) = v1) | ~ (spatialthing_nonsituational(v2)
% 10.86/2.23 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 10.86/2.23 $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1) | ~ (binarypredicate(v2) =
% 10.86/2.23 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 10.86/2.23 $i] : (v1 = v0 | ~ (geographicalregion(v2) = v1) | ~
% 10.86/2.23 (geographicalregion(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 10.86/2.23 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~
% 10.86/2.23 (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 10.86/2.23 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~
% 10.86/2.23 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 10.86/2.23 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~
% 10.86/2.23 (mtvisible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 10.86/2.23 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (geolevel_3(v2) = v1) | ~
% 10.86/2.23 (geolevel_3(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 10.86/2.23 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 10.86/2.23 (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) =
% 10.86/2.24 v0))
% 10.86/2.24
% 10.86/2.24 Further assumptions not needed in the proof:
% 10.86/2.24 --------------------------------------------
% 10.86/2.24 just1, just13, just14, just15, just16, just17, just18, just19, just2, just20,
% 10.86/2.24 just21, just22, just23, just24, just25, just26, just27, just28, just29, just30,
% 10.86/2.24 just31, just32, just33, just34, just35, just36, just37, just38, just39, just4,
% 10.86/2.24 just40, just42, just43, just44, just45, just46, just47, just48, just50, just51,
% 10.86/2.24 just52, just53, just54, just55, just56, just57, just6, just7
% 10.86/2.24
% 10.86/2.24 Those formulas are unsatisfiable:
% 10.86/2.24 ---------------------------------
% 10.86/2.24
% 10.86/2.24 Begin of proof
% 10.86/2.24 |
% 10.86/2.24 | ALPHA: (just3) implies:
% 10.86/2.24 | (1) $i(c_geographymt)
% 10.86/2.24 | (2) genlmt(c_worldgeographymt, c_geographymt) = 0
% 10.86/2.24 |
% 10.86/2.24 | ALPHA: (just5) implies:
% 10.86/2.24 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (geographicalsubregions(v0, v1) = 0) |
% 10.86/2.24 | ~ $i(v1) | ~ $i(v0) | inregion(v1, v0) = 0)
% 10.86/2.24 |
% 10.86/2.24 | ALPHA: (just8) implies:
% 10.86/2.24 | (4) genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = 0
% 10.86/2.24 |
% 10.86/2.24 | ALPHA: (just9) implies:
% 10.86/2.24 | (5) $i(c_tptpgeo_spindleheadmt)
% 10.86/2.24 | (6) genlmt(c_tptpgeo_member7_mt, c_tptpgeo_spindleheadmt) = 0
% 10.86/2.24 |
% 10.86/2.24 | ALPHA: (just10) implies:
% 10.86/2.24 | (7) $i(c_worldgeographymt)
% 10.86/2.24 | (8) ? [v0: any] : ? [v1: any] : (mtvisible(c_worldgeographymt) = v0 &
% 10.86/2.24 | geolevel_3(c_georegion_l3_x17_y24) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 10.86/2.24 |
% 10.86/2.24 | ALPHA: (just11) implies:
% 10.86/2.24 | (9) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member7_mt) = v0 &
% 10.86/2.24 | geographicalsubregions(c_georegion_l3_x17_y24,
% 10.86/2.24 | c_georegion_l4_x53_y74) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 10.86/2.24 |
% 10.86/2.24 | ALPHA: (just12) implies:
% 10.86/2.24 | (10) $i(c_georegion_l4_x53_y74)
% 10.86/2.24 | (11) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member7_mt) = v0 &
% 10.86/2.24 | inregion(c_geolocation_x53_y74, c_georegion_l4_x53_y74) = v1 & ( ~
% 10.86/2.24 | (v0 = 0) | v1 = 0))
% 10.86/2.24 |
% 10.86/2.24 | ALPHA: (just41) implies:
% 10.86/2.24 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 10.86/2.24 | (inregion(v0, v2) = v3) | ~ (inregion(v0, v1) = 0) | ~ $i(v2) | ~
% 10.86/2.24 | $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & inregion(v1, v2)
% 10.86/2.24 | = v4))
% 10.86/2.24 |
% 10.86/2.24 | ALPHA: (query74) implies:
% 10.86/2.24 | (13) $i(c_tptpgeo_member7_mt)
% 10.86/2.24 | (14) $i(c_georegion_l3_x17_y24)
% 10.86/2.25 | (15) $i(c_geolocation_x53_y74)
% 10.86/2.25 | (16) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member7_mt) = 0 &
% 10.86/2.25 | geolevel_3(c_georegion_l3_x17_y24) = v1 &
% 10.86/2.25 | inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24) = v0 & ( ~
% 10.86/2.25 | (v1 = 0) | ~ (v0 = 0)))
% 10.86/2.25 |
% 10.86/2.25 | ALPHA: (function-axioms) implies:
% 10.86/2.25 | (17) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 10.86/2.25 | : (v1 = v0 | ~ (geolevel_3(v2) = v1) | ~ (geolevel_3(v2) = v0))
% 10.86/2.25 | (18) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 10.86/2.25 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 10.86/2.25 | (19) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 10.86/2.25 | : ! [v3: $i] : (v1 = v0 | ~ (inregion(v3, v2) = v1) | ~
% 10.86/2.25 | (inregion(v3, v2) = v0))
% 10.86/2.25 |
% 10.86/2.25 | DELTA: instantiating (11) with fresh symbols all_48_0, all_48_1 gives:
% 10.86/2.25 | (20) mtvisible(c_tptpgeo_member7_mt) = all_48_1 &
% 10.86/2.25 | inregion(c_geolocation_x53_y74, c_georegion_l4_x53_y74) = all_48_0 & (
% 10.86/2.25 | ~ (all_48_1 = 0) | all_48_0 = 0)
% 10.86/2.25 |
% 10.86/2.25 | ALPHA: (20) implies:
% 10.86/2.25 | (21) inregion(c_geolocation_x53_y74, c_georegion_l4_x53_y74) = all_48_0
% 10.86/2.25 | (22) mtvisible(c_tptpgeo_member7_mt) = all_48_1
% 10.86/2.25 | (23) ~ (all_48_1 = 0) | all_48_0 = 0
% 10.86/2.25 |
% 10.86/2.25 | DELTA: instantiating (9) with fresh symbols all_50_0, all_50_1 gives:
% 10.86/2.25 | (24) mtvisible(c_tptpgeo_member7_mt) = all_50_1 &
% 10.86/2.25 | geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74)
% 10.86/2.25 | = all_50_0 & ( ~ (all_50_1 = 0) | all_50_0 = 0)
% 10.86/2.25 |
% 10.86/2.25 | ALPHA: (24) implies:
% 10.86/2.25 | (25) geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74)
% 10.86/2.25 | = all_50_0
% 10.86/2.25 | (26) mtvisible(c_tptpgeo_member7_mt) = all_50_1
% 10.86/2.25 | (27) ~ (all_50_1 = 0) | all_50_0 = 0
% 10.86/2.25 |
% 10.86/2.25 | DELTA: instantiating (8) with fresh symbols all_52_0, all_52_1 gives:
% 10.86/2.25 | (28) mtvisible(c_worldgeographymt) = all_52_1 &
% 10.86/2.25 | geolevel_3(c_georegion_l3_x17_y24) = all_52_0 & ( ~ (all_52_1 = 0) |
% 10.86/2.25 | all_52_0 = 0)
% 10.86/2.25 |
% 10.86/2.25 | ALPHA: (28) implies:
% 10.86/2.25 | (29) geolevel_3(c_georegion_l3_x17_y24) = all_52_0
% 10.86/2.25 | (30) mtvisible(c_worldgeographymt) = all_52_1
% 10.86/2.25 | (31) ~ (all_52_1 = 0) | all_52_0 = 0
% 10.86/2.25 |
% 10.86/2.25 | DELTA: instantiating (16) with fresh symbols all_54_0, all_54_1 gives:
% 10.86/2.25 | (32) mtvisible(c_tptpgeo_member7_mt) = 0 &
% 10.86/2.25 | geolevel_3(c_georegion_l3_x17_y24) = all_54_0 &
% 10.86/2.25 | inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24) = all_54_1 & (
% 10.86/2.25 | ~ (all_54_0 = 0) | ~ (all_54_1 = 0))
% 10.86/2.25 |
% 10.86/2.25 | ALPHA: (32) implies:
% 10.86/2.25 | (33) inregion(c_geolocation_x53_y74, c_georegion_l3_x17_y24) = all_54_1
% 10.86/2.25 | (34) geolevel_3(c_georegion_l3_x17_y24) = all_54_0
% 10.86/2.25 | (35) mtvisible(c_tptpgeo_member7_mt) = 0
% 10.86/2.25 | (36) ~ (all_54_0 = 0) | ~ (all_54_1 = 0)
% 10.86/2.25 |
% 10.86/2.26 | GROUND_INST: instantiating (17) with all_52_0, all_54_0,
% 10.86/2.26 | c_georegion_l3_x17_y24, simplifying with (29), (34) gives:
% 10.86/2.26 | (37) all_54_0 = all_52_0
% 10.86/2.26 |
% 10.86/2.26 | GROUND_INST: instantiating (18) with all_48_1, all_50_1, c_tptpgeo_member7_mt,
% 10.86/2.26 | simplifying with (22), (26) gives:
% 10.86/2.26 | (38) all_50_1 = all_48_1
% 10.86/2.26 |
% 10.86/2.26 | GROUND_INST: instantiating (18) with 0, all_50_1, c_tptpgeo_member7_mt,
% 10.86/2.26 | simplifying with (26), (35) gives:
% 10.86/2.26 | (39) all_50_1 = 0
% 10.86/2.26 |
% 10.86/2.26 | COMBINE_EQS: (38), (39) imply:
% 10.86/2.26 | (40) all_48_1 = 0
% 10.86/2.26 |
% 10.86/2.26 | BETA: splitting (23) gives:
% 10.86/2.26 |
% 10.86/2.26 | Case 1:
% 10.86/2.26 | |
% 10.86/2.26 | | (41) ~ (all_48_1 = 0)
% 10.86/2.26 | |
% 10.86/2.26 | | REDUCE: (40), (41) imply:
% 10.86/2.26 | | (42) $false
% 10.86/2.26 | |
% 10.86/2.26 | | CLOSE: (42) is inconsistent.
% 10.86/2.26 | |
% 10.86/2.26 | Case 2:
% 10.86/2.26 | |
% 10.86/2.26 | | (43) all_48_0 = 0
% 10.86/2.26 | |
% 10.86/2.26 | | REDUCE: (21), (43) imply:
% 10.86/2.26 | | (44) inregion(c_geolocation_x53_y74, c_georegion_l4_x53_y74) = 0
% 10.86/2.26 | |
% 10.86/2.26 | | BETA: splitting (27) gives:
% 10.86/2.26 | |
% 10.86/2.26 | | Case 1:
% 10.86/2.26 | | |
% 10.86/2.26 | | | (45) ~ (all_50_1 = 0)
% 10.86/2.26 | | |
% 10.86/2.26 | | | REDUCE: (39), (45) imply:
% 10.86/2.26 | | | (46) $false
% 10.86/2.26 | | |
% 10.86/2.26 | | | CLOSE: (46) is inconsistent.
% 10.86/2.26 | | |
% 10.86/2.26 | | Case 2:
% 10.86/2.26 | | |
% 10.86/2.26 | | | (47) all_50_0 = 0
% 10.86/2.26 | | |
% 10.86/2.26 | | | REDUCE: (25), (47) imply:
% 10.86/2.26 | | | (48) geographicalsubregions(c_georegion_l3_x17_y24,
% 10.86/2.26 | | | c_georegion_l4_x53_y74) = 0
% 10.86/2.26 | | |
% 10.86/2.26 | | | GROUND_INST: instantiating (just49) with c_worldgeographymt,
% 10.86/2.26 | | | c_geographymt, simplifying with (1), (2), (7) gives:
% 10.86/2.26 | | | (49) ? [v0: any] : ? [v1: any] : (mtvisible(c_worldgeographymt) = v0
% 10.86/2.26 | | | & mtvisible(c_geographymt) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 10.86/2.26 | | |
% 10.86/2.26 | | | GROUND_INST: instantiating (just49) with c_tptpgeo_spindleheadmt,
% 10.86/2.26 | | | c_worldgeographymt, simplifying with (4), (5), (7) gives:
% 10.86/2.26 | | | (50) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_spindleheadmt)
% 10.86/2.26 | | | = v0 & mtvisible(c_worldgeographymt) = v1 & ( ~ (v0 = 0) | v1 =
% 10.86/2.26 | | | 0))
% 10.86/2.26 | | |
% 10.86/2.26 | | | GROUND_INST: instantiating (just49) with c_tptpgeo_member7_mt,
% 10.86/2.26 | | | c_tptpgeo_spindleheadmt, simplifying with (5), (6), (13)
% 10.86/2.26 | | | gives:
% 10.86/2.26 | | | (51) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member7_mt) =
% 10.86/2.26 | | | v0 & mtvisible(c_tptpgeo_spindleheadmt) = v1 & ( ~ (v0 = 0) | v1
% 10.86/2.26 | | | = 0))
% 10.86/2.26 | | |
% 10.86/2.26 | | | GROUND_INST: instantiating (3) with c_georegion_l3_x17_y24,
% 10.86/2.26 | | | c_georegion_l4_x53_y74, simplifying with (10), (14), (48)
% 10.86/2.26 | | | gives:
% 10.86/2.26 | | | (52) inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24) = 0
% 10.86/2.26 | | |
% 11.16/2.26 | | | GROUND_INST: instantiating (12) with c_geolocation_x53_y74,
% 11.16/2.26 | | | c_georegion_l4_x53_y74, c_georegion_l3_x17_y24, all_54_1,
% 11.16/2.27 | | | simplifying with (10), (14), (15), (33), (44) gives:
% 11.16/2.27 | | | (53) all_54_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.16/2.27 | | | inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24) = v0)
% 11.16/2.27 | | |
% 11.16/2.27 | | | DELTA: instantiating (51) with fresh symbols all_74_0, all_74_1 gives:
% 11.16/2.27 | | | (54) mtvisible(c_tptpgeo_member7_mt) = all_74_1 &
% 11.16/2.27 | | | mtvisible(c_tptpgeo_spindleheadmt) = all_74_0 & ( ~ (all_74_1 = 0)
% 11.16/2.27 | | | | all_74_0 = 0)
% 11.16/2.27 | | |
% 11.16/2.27 | | | ALPHA: (54) implies:
% 11.16/2.27 | | | (55) mtvisible(c_tptpgeo_spindleheadmt) = all_74_0
% 11.16/2.27 | | | (56) mtvisible(c_tptpgeo_member7_mt) = all_74_1
% 11.16/2.27 | | | (57) ~ (all_74_1 = 0) | all_74_0 = 0
% 11.16/2.27 | | |
% 11.16/2.27 | | | DELTA: instantiating (49) with fresh symbols all_76_0, all_76_1 gives:
% 11.16/2.27 | | | (58) mtvisible(c_worldgeographymt) = all_76_1 &
% 11.16/2.27 | | | mtvisible(c_geographymt) = all_76_0 & ( ~ (all_76_1 = 0) |
% 11.16/2.27 | | | all_76_0 = 0)
% 11.16/2.27 | | |
% 11.16/2.27 | | | ALPHA: (58) implies:
% 11.16/2.27 | | | (59) mtvisible(c_worldgeographymt) = all_76_1
% 11.16/2.27 | | |
% 11.16/2.27 | | | DELTA: instantiating (50) with fresh symbols all_78_0, all_78_1 gives:
% 11.16/2.27 | | | (60) mtvisible(c_tptpgeo_spindleheadmt) = all_78_1 &
% 11.16/2.27 | | | mtvisible(c_worldgeographymt) = all_78_0 & ( ~ (all_78_1 = 0) |
% 11.16/2.27 | | | all_78_0 = 0)
% 11.16/2.27 | | |
% 11.16/2.27 | | | ALPHA: (60) implies:
% 11.16/2.27 | | | (61) mtvisible(c_worldgeographymt) = all_78_0
% 11.16/2.27 | | | (62) mtvisible(c_tptpgeo_spindleheadmt) = all_78_1
% 11.16/2.27 | | | (63) ~ (all_78_1 = 0) | all_78_0 = 0
% 11.16/2.27 | | |
% 11.16/2.27 | | | BETA: splitting (53) gives:
% 11.16/2.27 | | |
% 11.16/2.27 | | | Case 1:
% 11.16/2.27 | | | |
% 11.16/2.27 | | | | (64) all_54_1 = 0
% 11.16/2.27 | | | |
% 11.16/2.27 | | | | BETA: splitting (36) gives:
% 11.16/2.27 | | | |
% 11.16/2.27 | | | | Case 1:
% 11.16/2.27 | | | | |
% 11.16/2.27 | | | | | (65) ~ (all_54_0 = 0)
% 11.16/2.27 | | | | |
% 11.16/2.27 | | | | | REDUCE: (37), (65) imply:
% 11.16/2.27 | | | | | (66) ~ (all_52_0 = 0)
% 11.16/2.27 | | | | |
% 11.16/2.27 | | | | | BETA: splitting (31) gives:
% 11.16/2.27 | | | | |
% 11.16/2.27 | | | | | Case 1:
% 11.16/2.27 | | | | | |
% 11.16/2.27 | | | | | | (67) ~ (all_52_1 = 0)
% 11.16/2.27 | | | | | |
% 11.16/2.27 | | | | | | GROUND_INST: instantiating (18) with all_52_1, all_78_0,
% 11.16/2.27 | | | | | | c_worldgeographymt, simplifying with (30), (61) gives:
% 11.16/2.27 | | | | | | (68) all_78_0 = all_52_1
% 11.16/2.27 | | | | | |
% 11.16/2.27 | | | | | | GROUND_INST: instantiating (18) with all_76_1, all_78_0,
% 11.16/2.27 | | | | | | c_worldgeographymt, simplifying with (59), (61) gives:
% 11.16/2.27 | | | | | | (69) all_78_0 = all_76_1
% 11.16/2.27 | | | | | |
% 11.16/2.27 | | | | | | GROUND_INST: instantiating (18) with all_74_0, all_78_1,
% 11.16/2.27 | | | | | | c_tptpgeo_spindleheadmt, simplifying with (55), (62)
% 11.16/2.27 | | | | | | gives:
% 11.16/2.27 | | | | | | (70) all_78_1 = all_74_0
% 11.16/2.27 | | | | | |
% 11.16/2.27 | | | | | | GROUND_INST: instantiating (18) with 0, all_74_1,
% 11.16/2.27 | | | | | | c_tptpgeo_member7_mt, simplifying with (35), (56)
% 11.16/2.27 | | | | | | gives:
% 11.16/2.27 | | | | | | (71) all_74_1 = 0
% 11.16/2.27 | | | | | |
% 11.16/2.27 | | | | | | COMBINE_EQS: (68), (69) imply:
% 11.16/2.27 | | | | | | (72) all_76_1 = all_52_1
% 11.16/2.27 | | | | | |
% 11.16/2.27 | | | | | | BETA: splitting (57) gives:
% 11.16/2.27 | | | | | |
% 11.16/2.27 | | | | | | Case 1:
% 11.16/2.27 | | | | | | |
% 11.16/2.27 | | | | | | | (73) ~ (all_74_1 = 0)
% 11.16/2.27 | | | | | | |
% 11.16/2.27 | | | | | | | REDUCE: (71), (73) imply:
% 11.16/2.27 | | | | | | | (74) $false
% 11.16/2.27 | | | | | | |
% 11.16/2.27 | | | | | | | CLOSE: (74) is inconsistent.
% 11.16/2.27 | | | | | | |
% 11.16/2.27 | | | | | | Case 2:
% 11.16/2.27 | | | | | | |
% 11.16/2.27 | | | | | | | (75) all_74_0 = 0
% 11.16/2.27 | | | | | | |
% 11.16/2.27 | | | | | | | COMBINE_EQS: (70), (75) imply:
% 11.16/2.27 | | | | | | | (76) all_78_1 = 0
% 11.16/2.27 | | | | | | |
% 11.16/2.27 | | | | | | | BETA: splitting (63) gives:
% 11.16/2.27 | | | | | | |
% 11.16/2.27 | | | | | | | Case 1:
% 11.16/2.27 | | | | | | | |
% 11.16/2.27 | | | | | | | | (77) ~ (all_78_1 = 0)
% 11.16/2.27 | | | | | | | |
% 11.16/2.28 | | | | | | | | REDUCE: (76), (77) imply:
% 11.16/2.28 | | | | | | | | (78) $false
% 11.16/2.28 | | | | | | | |
% 11.16/2.28 | | | | | | | | CLOSE: (78) is inconsistent.
% 11.16/2.28 | | | | | | | |
% 11.16/2.28 | | | | | | | Case 2:
% 11.16/2.28 | | | | | | | |
% 11.16/2.28 | | | | | | | | (79) all_78_0 = 0
% 11.16/2.28 | | | | | | | |
% 11.16/2.28 | | | | | | | | COMBINE_EQS: (68), (79) imply:
% 11.16/2.28 | | | | | | | | (80) all_52_1 = 0
% 11.16/2.28 | | | | | | | |
% 11.16/2.28 | | | | | | | | SIMP: (80) implies:
% 11.16/2.28 | | | | | | | | (81) all_52_1 = 0
% 11.16/2.28 | | | | | | | |
% 11.16/2.28 | | | | | | | | REDUCE: (67), (81) imply:
% 11.16/2.28 | | | | | | | | (82) $false
% 11.16/2.28 | | | | | | | |
% 11.16/2.28 | | | | | | | | CLOSE: (82) is inconsistent.
% 11.16/2.28 | | | | | | | |
% 11.16/2.28 | | | | | | | End of split
% 11.16/2.28 | | | | | | |
% 11.16/2.28 | | | | | | End of split
% 11.16/2.28 | | | | | |
% 11.16/2.28 | | | | | Case 2:
% 11.16/2.28 | | | | | |
% 11.16/2.28 | | | | | | (83) all_52_0 = 0
% 11.16/2.28 | | | | | |
% 11.16/2.28 | | | | | | REDUCE: (66), (83) imply:
% 11.16/2.28 | | | | | | (84) $false
% 11.16/2.28 | | | | | |
% 11.16/2.28 | | | | | | CLOSE: (84) is inconsistent.
% 11.16/2.28 | | | | | |
% 11.16/2.28 | | | | | End of split
% 11.16/2.28 | | | | |
% 11.16/2.28 | | | | Case 2:
% 11.16/2.28 | | | | |
% 11.16/2.28 | | | | | (85) ~ (all_54_1 = 0)
% 11.16/2.28 | | | | |
% 11.16/2.28 | | | | | REDUCE: (64), (85) imply:
% 11.16/2.28 | | | | | (86) $false
% 11.16/2.28 | | | | |
% 11.16/2.28 | | | | | CLOSE: (86) is inconsistent.
% 11.16/2.28 | | | | |
% 11.16/2.28 | | | | End of split
% 11.16/2.28 | | | |
% 11.16/2.28 | | | Case 2:
% 11.16/2.28 | | | |
% 11.16/2.28 | | | | (87) ? [v0: int] : ( ~ (v0 = 0) & inregion(c_georegion_l4_x53_y74,
% 11.16/2.28 | | | | c_georegion_l3_x17_y24) = v0)
% 11.16/2.28 | | | |
% 11.16/2.28 | | | | DELTA: instantiating (87) with fresh symbol all_86_0 gives:
% 11.16/2.28 | | | | (88) ~ (all_86_0 = 0) & inregion(c_georegion_l4_x53_y74,
% 11.16/2.28 | | | | c_georegion_l3_x17_y24) = all_86_0
% 11.16/2.28 | | | |
% 11.16/2.28 | | | | ALPHA: (88) implies:
% 11.16/2.28 | | | | (89) ~ (all_86_0 = 0)
% 11.16/2.28 | | | | (90) inregion(c_georegion_l4_x53_y74, c_georegion_l3_x17_y24) =
% 11.16/2.28 | | | | all_86_0
% 11.16/2.28 | | | |
% 11.16/2.28 | | | | GROUND_INST: instantiating (19) with 0, all_86_0,
% 11.16/2.28 | | | | c_georegion_l3_x17_y24, c_georegion_l4_x53_y74, simplifying
% 11.16/2.28 | | | | with (52), (90) gives:
% 11.16/2.28 | | | | (91) all_86_0 = 0
% 11.16/2.28 | | | |
% 11.16/2.28 | | | | REDUCE: (89), (91) imply:
% 11.16/2.28 | | | | (92) $false
% 11.16/2.28 | | | |
% 11.16/2.28 | | | | CLOSE: (92) is inconsistent.
% 11.16/2.28 | | | |
% 11.16/2.28 | | | End of split
% 11.16/2.28 | | |
% 11.16/2.28 | | End of split
% 11.16/2.28 | |
% 11.16/2.28 | End of split
% 11.16/2.28 |
% 11.16/2.28 End of proof
% 11.16/2.28 % SZS output end Proof for theBenchmark
% 11.16/2.28
% 11.16/2.28 1669ms
%------------------------------------------------------------------------------