TSTP Solution File: CSR029+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR029+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 : n011.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 21:36:30 EDT 2023
% Result : Theorem 7.51s 1.86s
% Output : Proof 11.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CSR029+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n011.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 11:41:40 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 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 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 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 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 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 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
% 3.09/1.14 Prover 4: Preprocessing ...
% 3.09/1.15 Prover 1: Preprocessing ...
% 3.23/1.18 Prover 0: Preprocessing ...
% 3.23/1.18 Prover 3: Preprocessing ...
% 3.23/1.18 Prover 5: Preprocessing ...
% 3.23/1.18 Prover 6: Preprocessing ...
% 3.23/1.18 Prover 2: Preprocessing ...
% 5.32/1.52 Prover 5: Constructing countermodel ...
% 5.32/1.53 Prover 2: Constructing countermodel ...
% 6.48/1.64 Prover 6: Constructing countermodel ...
% 6.48/1.65 Prover 3: Constructing countermodel ...
% 6.48/1.70 Prover 1: Constructing countermodel ...
% 7.08/1.76 Prover 0: Proving ...
% 7.51/1.78 Prover 4: Constructing countermodel ...
% 7.51/1.85 Prover 2: proved (1212ms)
% 7.51/1.85
% 7.51/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.51/1.86
% 7.51/1.86 Prover 3: stopped
% 7.51/1.86 Prover 6: stopped
% 8.16/1.88 Prover 5: stopped
% 8.16/1.88 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.16/1.88 Prover 0: stopped
% 8.16/1.90 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.16/1.90 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.16/1.90 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.16/1.90 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 8.16/1.94 Prover 7: Preprocessing ...
% 8.45/1.97 Prover 10: Preprocessing ...
% 8.99/1.99 Prover 13: Preprocessing ...
% 8.99/1.99 Prover 8: Preprocessing ...
% 8.99/2.00 Prover 11: Preprocessing ...
% 9.22/2.03 Prover 7: Constructing countermodel ...
% 9.22/2.08 Prover 10: Constructing countermodel ...
% 9.22/2.10 Prover 13: Constructing countermodel ...
% 9.94/2.14 Prover 1: Found proof (size 60)
% 9.94/2.14 Prover 1: proved (1507ms)
% 9.94/2.15 Prover 10: stopped
% 9.94/2.15 Prover 7: stopped
% 9.94/2.15 Prover 13: stopped
% 9.94/2.15 Prover 4: stopped
% 10.49/2.20 Prover 8: Warning: ignoring some quantifiers
% 10.49/2.21 Prover 8: Constructing countermodel ...
% 10.49/2.22 Prover 8: stopped
% 10.49/2.27 Prover 11: Constructing countermodel ...
% 10.96/2.28 Prover 11: stopped
% 10.96/2.28
% 10.96/2.28 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.96/2.28
% 11.00/2.29 % SZS output start Proof for theBenchmark
% 11.00/2.30 Assumptions after simplification:
% 11.00/2.30 ---------------------------------
% 11.00/2.30
% 11.00/2.30 (just10)
% 11.14/2.32 $i(c_georegion_l3_x4_y13) & $i(c_worldgeographymt) & ? [v0: any] : ? [v1:
% 11.14/2.32 any] : (mtvisible(c_worldgeographymt) = v0 &
% 11.14/2.32 geolevel_3(c_georegion_l3_x4_y13) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 11.14/2.32
% 11.14/2.32 (just11)
% 11.14/2.32 $i(c_georegion_l4_x14_y39) & $i(c_georegion_l3_x4_y13) &
% 11.14/2.32 $i(c_tptpgeo_member3_mt) & ? [v0: any] : ? [v1: any] :
% 11.14/2.32 (mtvisible(c_tptpgeo_member3_mt) = v0 &
% 11.14/2.32 geographicalsubregions(c_georegion_l3_x4_y13, c_georegion_l4_x14_y39) = v1 &
% 11.14/2.32 ( ~ (v0 = 0) | v1 = 0))
% 11.14/2.32
% 11.14/2.32 (just12)
% 11.14/2.33 $i(c_geolocation_x14_y39) & $i(c_georegion_l4_x14_y39) &
% 11.14/2.33 $i(c_tptpgeo_member3_mt) & ? [v0: any] : ? [v1: any] :
% 11.14/2.33 (mtvisible(c_tptpgeo_member3_mt) = v0 & inregion(c_geolocation_x14_y39,
% 11.14/2.33 c_georegion_l4_x14_y39) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 11.14/2.33
% 11.14/2.33 (just41)
% 11.14/2.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 11.14/2.33 (inregion(v0, v2) = v3) | ~ (inregion(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1)
% 11.14/2.33 | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & inregion(v1, v2) = v4))
% 11.14/2.33
% 11.14/2.33 (just49)
% 11.14/2.33 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (mtvisible(v1) = v2) |
% 11.14/2.33 ~ (mtvisible(v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0)
% 11.14/2.33 & genlmt(v0, v1) = v3))
% 11.14/2.33
% 11.14/2.33 (just5)
% 11.14/2.33 ! [v0: $i] : ! [v1: $i] : ( ~ (geographicalsubregions(v0, v1) = 0) | ~
% 11.14/2.33 $i(v1) | ~ $i(v0) | inregion(v1, v0) = 0)
% 11.14/2.33
% 11.14/2.33 (just54)
% 11.14/2.33 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 11.14/2.33 (genlmt(v0, v2) = v3) | ~ (genlmt(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 11.14/2.33 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & genlmt(v1, v2) = v4))
% 11.14/2.33
% 11.14/2.33 (just8)
% 11.14/2.33 genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = 0 &
% 11.14/2.33 $i(c_tptpgeo_spindleheadmt) & $i(c_worldgeographymt)
% 11.14/2.33
% 11.14/2.33 (just9)
% 11.14/2.33 genlmt(c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt) = 0 &
% 11.14/2.33 $i(c_tptpgeo_member3_mt) & $i(c_tptpgeo_spindleheadmt)
% 11.14/2.33
% 11.14/2.33 (query29)
% 11.14/2.33 $i(c_geolocation_x14_y39) & $i(c_georegion_l3_x4_y13) &
% 11.14/2.33 $i(c_tptpgeo_member3_mt) & ? [v0: any] : ? [v1: any] :
% 11.14/2.33 (mtvisible(c_tptpgeo_member3_mt) = 0 & geolevel_3(c_georegion_l3_x4_y13) = v1
% 11.14/2.33 & inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13) = v0 & ( ~ (v1 = 0)
% 11.14/2.33 | ~ (v0 = 0)))
% 11.14/2.33
% 11.14/2.33 (function-axioms)
% 11.14/2.34 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 11.14/2.34 [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & !
% 11.14/2.34 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 11.14/2.34 $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0))
% 11.14/2.34 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 11.14/2.34 [v3: $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3,
% 11.14/2.34 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 11.14/2.34 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2)
% 11.14/2.34 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.14/2.34 $i] : ! [v3: $i] : (v1 = v0 | ~ (geographicalsubregions(v3, v2) = v1) | ~
% 11.14/2.34 (geographicalsubregions(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 11.14/2.34 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.14/2.34 (inregion(v3, v2) = v1) | ~ (inregion(v3, v2) = v0)) & ! [v0:
% 11.14/2.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 11.14/2.34 : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) &
% 11.14/2.34 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 11.14/2.34 $i] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & !
% 11.14/2.34 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 11.14/2.34 | ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0:
% 11.14/2.34 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.14/2.34 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 11.14/2.34 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 11.14/2.34 (spatialthing_nonsituational(v2) = v1) | ~ (spatialthing_nonsituational(v2)
% 11.14/2.34 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.14/2.34 $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1) | ~ (binarypredicate(v2) =
% 11.14/2.34 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.14/2.34 $i] : (v1 = v0 | ~ (geographicalregion(v2) = v1) | ~
% 11.14/2.34 (geographicalregion(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.14/2.34 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~
% 11.14/2.34 (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.14/2.34 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~
% 11.14/2.34 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.14/2.34 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~
% 11.14/2.34 (mtvisible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.14/2.34 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (geolevel_3(v2) = v1) | ~
% 11.14/2.34 (geolevel_3(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.14/2.34 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 11.14/2.34 (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) =
% 11.14/2.34 v0))
% 11.14/2.34
% 11.14/2.34 Further assumptions not needed in the proof:
% 11.14/2.34 --------------------------------------------
% 11.14/2.34 just1, just13, just14, just15, just16, just17, just18, just19, just2, just20,
% 11.14/2.34 just21, just22, just23, just24, just25, just26, just27, just28, just29, just3,
% 11.14/2.34 just30, just31, just32, just33, just34, just35, just36, just37, just38, just39,
% 11.14/2.34 just4, just40, just42, just43, just44, just45, just46, just47, just48, just50,
% 11.14/2.34 just51, just52, just53, just55, just56, just57, just6, just7
% 11.14/2.34
% 11.14/2.34 Those formulas are unsatisfiable:
% 11.14/2.34 ---------------------------------
% 11.14/2.34
% 11.14/2.34 Begin of proof
% 11.14/2.34 |
% 11.14/2.34 | ALPHA: (just8) implies:
% 11.14/2.35 | (1) genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = 0
% 11.14/2.35 |
% 11.14/2.35 | ALPHA: (just9) implies:
% 11.14/2.35 | (2) $i(c_tptpgeo_spindleheadmt)
% 11.14/2.35 | (3) genlmt(c_tptpgeo_member3_mt, c_tptpgeo_spindleheadmt) = 0
% 11.14/2.35 |
% 11.14/2.35 | ALPHA: (just10) implies:
% 11.14/2.35 | (4) $i(c_worldgeographymt)
% 11.14/2.35 | (5) ? [v0: any] : ? [v1: any] : (mtvisible(c_worldgeographymt) = v0 &
% 11.14/2.35 | geolevel_3(c_georegion_l3_x4_y13) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 11.14/2.35 |
% 11.14/2.35 | ALPHA: (just11) implies:
% 11.14/2.35 | (6) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member3_mt) = v0 &
% 11.14/2.35 | geographicalsubregions(c_georegion_l3_x4_y13, c_georegion_l4_x14_y39)
% 11.14/2.35 | = v1 & ( ~ (v0 = 0) | v1 = 0))
% 11.14/2.35 |
% 11.14/2.35 | ALPHA: (just12) implies:
% 11.14/2.35 | (7) $i(c_georegion_l4_x14_y39)
% 11.14/2.35 | (8) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member3_mt) = v0 &
% 11.14/2.35 | inregion(c_geolocation_x14_y39, c_georegion_l4_x14_y39) = v1 & ( ~
% 11.14/2.35 | (v0 = 0) | v1 = 0))
% 11.14/2.35 |
% 11.14/2.35 | ALPHA: (query29) implies:
% 11.14/2.35 | (9) $i(c_tptpgeo_member3_mt)
% 11.14/2.35 | (10) $i(c_georegion_l3_x4_y13)
% 11.14/2.35 | (11) $i(c_geolocation_x14_y39)
% 11.14/2.35 | (12) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member3_mt) = 0 &
% 11.14/2.35 | geolevel_3(c_georegion_l3_x4_y13) = v1 &
% 11.14/2.35 | inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13) = v0 & ( ~
% 11.14/2.35 | (v1 = 0) | ~ (v0 = 0)))
% 11.14/2.35 |
% 11.14/2.35 | ALPHA: (function-axioms) implies:
% 11.14/2.35 | (13) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 11.14/2.35 | : (v1 = v0 | ~ (geolevel_3(v2) = v1) | ~ (geolevel_3(v2) = v0))
% 11.14/2.35 | (14) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 11.14/2.35 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 11.14/2.35 | (15) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 11.14/2.35 | : ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3,
% 11.14/2.35 | v2) = v0))
% 11.14/2.35 | (16) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 11.14/2.35 | : ! [v3: $i] : (v1 = v0 | ~ (inregion(v3, v2) = v1) | ~
% 11.14/2.35 | (inregion(v3, v2) = v0))
% 11.14/2.35 |
% 11.14/2.35 | DELTA: instantiating (8) with fresh symbols all_48_0, all_48_1 gives:
% 11.14/2.35 | (17) mtvisible(c_tptpgeo_member3_mt) = all_48_1 &
% 11.14/2.35 | inregion(c_geolocation_x14_y39, c_georegion_l4_x14_y39) = all_48_0 & (
% 11.14/2.35 | ~ (all_48_1 = 0) | all_48_0 = 0)
% 11.14/2.35 |
% 11.14/2.35 | ALPHA: (17) implies:
% 11.14/2.36 | (18) inregion(c_geolocation_x14_y39, c_georegion_l4_x14_y39) = all_48_0
% 11.14/2.36 | (19) mtvisible(c_tptpgeo_member3_mt) = all_48_1
% 11.14/2.36 | (20) ~ (all_48_1 = 0) | all_48_0 = 0
% 11.14/2.36 |
% 11.14/2.36 | DELTA: instantiating (6) with fresh symbols all_50_0, all_50_1 gives:
% 11.14/2.36 | (21) mtvisible(c_tptpgeo_member3_mt) = all_50_1 &
% 11.14/2.36 | geographicalsubregions(c_georegion_l3_x4_y13, c_georegion_l4_x14_y39)
% 11.14/2.36 | = all_50_0 & ( ~ (all_50_1 = 0) | all_50_0 = 0)
% 11.14/2.36 |
% 11.14/2.36 | ALPHA: (21) implies:
% 11.14/2.36 | (22) geographicalsubregions(c_georegion_l3_x4_y13, c_georegion_l4_x14_y39)
% 11.14/2.36 | = all_50_0
% 11.14/2.36 | (23) mtvisible(c_tptpgeo_member3_mt) = all_50_1
% 11.14/2.36 | (24) ~ (all_50_1 = 0) | all_50_0 = 0
% 11.14/2.36 |
% 11.14/2.36 | DELTA: instantiating (5) with fresh symbols all_52_0, all_52_1 gives:
% 11.14/2.36 | (25) mtvisible(c_worldgeographymt) = all_52_1 &
% 11.14/2.36 | geolevel_3(c_georegion_l3_x4_y13) = all_52_0 & ( ~ (all_52_1 = 0) |
% 11.14/2.36 | all_52_0 = 0)
% 11.14/2.36 |
% 11.14/2.36 | ALPHA: (25) implies:
% 11.14/2.36 | (26) geolevel_3(c_georegion_l3_x4_y13) = all_52_0
% 11.14/2.36 | (27) mtvisible(c_worldgeographymt) = all_52_1
% 11.14/2.36 | (28) ~ (all_52_1 = 0) | all_52_0 = 0
% 11.14/2.36 |
% 11.14/2.36 | DELTA: instantiating (12) with fresh symbols all_54_0, all_54_1 gives:
% 11.14/2.36 | (29) mtvisible(c_tptpgeo_member3_mt) = 0 &
% 11.14/2.36 | geolevel_3(c_georegion_l3_x4_y13) = all_54_0 &
% 11.14/2.36 | inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13) = all_54_1 & (
% 11.14/2.36 | ~ (all_54_0 = 0) | ~ (all_54_1 = 0))
% 11.14/2.36 |
% 11.14/2.36 | ALPHA: (29) implies:
% 11.14/2.36 | (30) inregion(c_geolocation_x14_y39, c_georegion_l3_x4_y13) = all_54_1
% 11.14/2.36 | (31) geolevel_3(c_georegion_l3_x4_y13) = all_54_0
% 11.14/2.36 | (32) mtvisible(c_tptpgeo_member3_mt) = 0
% 11.14/2.36 | (33) ~ (all_54_0 = 0) | ~ (all_54_1 = 0)
% 11.14/2.36 |
% 11.14/2.36 | GROUND_INST: instantiating (13) with all_52_0, all_54_0,
% 11.14/2.36 | c_georegion_l3_x4_y13, simplifying with (26), (31) gives:
% 11.14/2.36 | (34) all_54_0 = all_52_0
% 11.14/2.36 |
% 11.14/2.36 | GROUND_INST: instantiating (14) with all_48_1, all_50_1, c_tptpgeo_member3_mt,
% 11.14/2.36 | simplifying with (19), (23) gives:
% 11.14/2.36 | (35) all_50_1 = all_48_1
% 11.14/2.36 |
% 11.14/2.36 | GROUND_INST: instantiating (14) with 0, all_50_1, c_tptpgeo_member3_mt,
% 11.14/2.36 | simplifying with (23), (32) gives:
% 11.14/2.36 | (36) all_50_1 = 0
% 11.14/2.36 |
% 11.14/2.36 | COMBINE_EQS: (35), (36) imply:
% 11.14/2.36 | (37) all_48_1 = 0
% 11.14/2.36 |
% 11.14/2.36 | BETA: splitting (20) gives:
% 11.14/2.36 |
% 11.14/2.36 | Case 1:
% 11.14/2.36 | |
% 11.14/2.36 | | (38) ~ (all_48_1 = 0)
% 11.14/2.36 | |
% 11.14/2.36 | | REDUCE: (37), (38) imply:
% 11.14/2.36 | | (39) $false
% 11.14/2.36 | |
% 11.14/2.36 | | CLOSE: (39) is inconsistent.
% 11.14/2.36 | |
% 11.14/2.36 | Case 2:
% 11.14/2.36 | |
% 11.14/2.36 | | (40) all_48_0 = 0
% 11.14/2.36 | |
% 11.14/2.36 | | REDUCE: (18), (40) imply:
% 11.14/2.36 | | (41) inregion(c_geolocation_x14_y39, c_georegion_l4_x14_y39) = 0
% 11.14/2.36 | |
% 11.14/2.36 | | BETA: splitting (24) gives:
% 11.14/2.36 | |
% 11.14/2.36 | | Case 1:
% 11.14/2.36 | | |
% 11.14/2.36 | | | (42) ~ (all_50_1 = 0)
% 11.14/2.36 | | |
% 11.14/2.36 | | | REDUCE: (36), (42) imply:
% 11.14/2.36 | | | (43) $false
% 11.14/2.36 | | |
% 11.14/2.36 | | | CLOSE: (43) is inconsistent.
% 11.14/2.36 | | |
% 11.14/2.36 | | Case 2:
% 11.14/2.36 | | |
% 11.14/2.36 | | | (44) all_50_0 = 0
% 11.14/2.37 | | |
% 11.14/2.37 | | | REDUCE: (22), (44) imply:
% 11.14/2.37 | | | (45) geographicalsubregions(c_georegion_l3_x4_y13,
% 11.14/2.37 | | | c_georegion_l4_x14_y39) = 0
% 11.14/2.37 | | |
% 11.14/2.37 | | | GROUND_INST: instantiating (just41) with c_geolocation_x14_y39,
% 11.14/2.37 | | | c_georegion_l4_x14_y39, c_georegion_l3_x4_y13, all_54_1,
% 11.14/2.37 | | | simplifying with (7), (10), (11), (30), (41) gives:
% 11.14/2.37 | | | (46) all_54_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.14/2.37 | | | inregion(c_georegion_l4_x14_y39, c_georegion_l3_x4_y13) = v0)
% 11.14/2.37 | | |
% 11.14/2.37 | | | GROUND_INST: instantiating (just5) with c_georegion_l3_x4_y13,
% 11.14/2.37 | | | c_georegion_l4_x14_y39, simplifying with (7), (10), (45)
% 11.14/2.37 | | | gives:
% 11.14/2.37 | | | (47) inregion(c_georegion_l4_x14_y39, c_georegion_l3_x4_y13) = 0
% 11.14/2.37 | | |
% 11.14/2.37 | | | GROUND_INST: instantiating (just49) with c_tptpgeo_member3_mt,
% 11.14/2.37 | | | c_worldgeographymt, all_52_1, simplifying with (4), (9),
% 11.14/2.37 | | | (27), (32) gives:
% 11.14/2.37 | | | (48) all_52_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.14/2.37 | | | genlmt(c_tptpgeo_member3_mt, c_worldgeographymt) = v0)
% 11.14/2.37 | | |
% 11.14/2.37 | | | BETA: splitting (46) gives:
% 11.14/2.37 | | |
% 11.14/2.37 | | | Case 1:
% 11.14/2.37 | | | |
% 11.14/2.37 | | | | (49) all_54_1 = 0
% 11.14/2.37 | | | |
% 11.14/2.37 | | | | BETA: splitting (33) gives:
% 11.14/2.37 | | | |
% 11.14/2.37 | | | | Case 1:
% 11.14/2.37 | | | | |
% 11.14/2.37 | | | | | (50) ~ (all_54_0 = 0)
% 11.14/2.37 | | | | |
% 11.14/2.37 | | | | | REDUCE: (34), (50) imply:
% 11.14/2.37 | | | | | (51) ~ (all_52_0 = 0)
% 11.14/2.37 | | | | |
% 11.14/2.37 | | | | | BETA: splitting (28) gives:
% 11.14/2.37 | | | | |
% 11.14/2.37 | | | | | Case 1:
% 11.14/2.37 | | | | | |
% 11.14/2.37 | | | | | | (52) ~ (all_52_1 = 0)
% 11.14/2.37 | | | | | |
% 11.14/2.37 | | | | | | BETA: splitting (48) gives:
% 11.14/2.37 | | | | | |
% 11.14/2.37 | | | | | | Case 1:
% 11.14/2.37 | | | | | | |
% 11.14/2.37 | | | | | | | (53) all_52_1 = 0
% 11.14/2.37 | | | | | | |
% 11.14/2.37 | | | | | | | REDUCE: (52), (53) imply:
% 11.14/2.37 | | | | | | | (54) $false
% 11.14/2.37 | | | | | | |
% 11.14/2.37 | | | | | | | CLOSE: (54) is inconsistent.
% 11.14/2.37 | | | | | | |
% 11.14/2.37 | | | | | | Case 2:
% 11.14/2.37 | | | | | | |
% 11.14/2.37 | | | | | | | (55) ? [v0: int] : ( ~ (v0 = 0) & genlmt(c_tptpgeo_member3_mt,
% 11.14/2.37 | | | | | | | c_worldgeographymt) = v0)
% 11.14/2.37 | | | | | | |
% 11.14/2.37 | | | | | | | DELTA: instantiating (55) with fresh symbol all_90_0 gives:
% 11.14/2.37 | | | | | | | (56) ~ (all_90_0 = 0) & genlmt(c_tptpgeo_member3_mt,
% 11.14/2.37 | | | | | | | c_worldgeographymt) = all_90_0
% 11.14/2.37 | | | | | | |
% 11.14/2.37 | | | | | | | ALPHA: (56) implies:
% 11.14/2.37 | | | | | | | (57) ~ (all_90_0 = 0)
% 11.14/2.37 | | | | | | | (58) genlmt(c_tptpgeo_member3_mt, c_worldgeographymt) =
% 11.14/2.37 | | | | | | | all_90_0
% 11.14/2.37 | | | | | | |
% 11.14/2.37 | | | | | | | GROUND_INST: instantiating (just54) with c_tptpgeo_member3_mt,
% 11.14/2.37 | | | | | | | c_tptpgeo_spindleheadmt, c_worldgeographymt,
% 11.14/2.37 | | | | | | | all_90_0, simplifying with (2), (3), (4), (9), (58)
% 11.14/2.37 | | | | | | | gives:
% 11.14/2.37 | | | | | | | (59) all_90_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.14/2.37 | | | | | | | genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) =
% 11.14/2.37 | | | | | | | v0)
% 11.14/2.37 | | | | | | |
% 11.14/2.37 | | | | | | | BETA: splitting (59) gives:
% 11.14/2.37 | | | | | | |
% 11.14/2.37 | | | | | | | Case 1:
% 11.14/2.37 | | | | | | | |
% 11.14/2.37 | | | | | | | | (60) all_90_0 = 0
% 11.14/2.37 | | | | | | | |
% 11.14/2.37 | | | | | | | | REDUCE: (57), (60) imply:
% 11.14/2.37 | | | | | | | | (61) $false
% 11.14/2.37 | | | | | | | |
% 11.14/2.37 | | | | | | | | CLOSE: (61) is inconsistent.
% 11.14/2.37 | | | | | | | |
% 11.14/2.37 | | | | | | | Case 2:
% 11.14/2.37 | | | | | | | |
% 11.14/2.37 | | | | | | | | (62) ? [v0: int] : ( ~ (v0 = 0) &
% 11.14/2.37 | | | | | | | | genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) =
% 11.14/2.37 | | | | | | | | v0)
% 11.14/2.37 | | | | | | | |
% 11.14/2.37 | | | | | | | | DELTA: instantiating (62) with fresh symbol all_112_0 gives:
% 11.14/2.37 | | | | | | | | (63) ~ (all_112_0 = 0) & genlmt(c_tptpgeo_spindleheadmt,
% 11.14/2.37 | | | | | | | | c_worldgeographymt) = all_112_0
% 11.14/2.37 | | | | | | | |
% 11.14/2.37 | | | | | | | | ALPHA: (63) implies:
% 11.14/2.37 | | | | | | | | (64) ~ (all_112_0 = 0)
% 11.14/2.37 | | | | | | | | (65) genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) =
% 11.14/2.37 | | | | | | | | all_112_0
% 11.14/2.37 | | | | | | | |
% 11.14/2.37 | | | | | | | | GROUND_INST: instantiating (15) with 0, all_112_0,
% 11.14/2.37 | | | | | | | | c_worldgeographymt, c_tptpgeo_spindleheadmt,
% 11.14/2.37 | | | | | | | | simplifying with (1), (65) gives:
% 11.14/2.38 | | | | | | | | (66) all_112_0 = 0
% 11.14/2.38 | | | | | | | |
% 11.14/2.38 | | | | | | | | REDUCE: (64), (66) imply:
% 11.14/2.38 | | | | | | | | (67) $false
% 11.14/2.38 | | | | | | | |
% 11.14/2.38 | | | | | | | | CLOSE: (67) is inconsistent.
% 11.14/2.38 | | | | | | | |
% 11.14/2.38 | | | | | | | End of split
% 11.14/2.38 | | | | | | |
% 11.14/2.38 | | | | | | End of split
% 11.14/2.38 | | | | | |
% 11.14/2.38 | | | | | Case 2:
% 11.14/2.38 | | | | | |
% 11.14/2.38 | | | | | | (68) all_52_0 = 0
% 11.14/2.38 | | | | | |
% 11.14/2.38 | | | | | | REDUCE: (51), (68) imply:
% 11.14/2.38 | | | | | | (69) $false
% 11.14/2.38 | | | | | |
% 11.14/2.38 | | | | | | CLOSE: (69) is inconsistent.
% 11.14/2.38 | | | | | |
% 11.14/2.38 | | | | | End of split
% 11.14/2.38 | | | | |
% 11.14/2.38 | | | | Case 2:
% 11.14/2.38 | | | | |
% 11.14/2.38 | | | | | (70) ~ (all_54_1 = 0)
% 11.14/2.38 | | | | |
% 11.14/2.38 | | | | | REDUCE: (49), (70) imply:
% 11.14/2.38 | | | | | (71) $false
% 11.14/2.38 | | | | |
% 11.14/2.38 | | | | | CLOSE: (71) is inconsistent.
% 11.14/2.38 | | | | |
% 11.14/2.38 | | | | End of split
% 11.14/2.38 | | | |
% 11.14/2.38 | | | Case 2:
% 11.14/2.38 | | | |
% 11.14/2.38 | | | | (72) ? [v0: int] : ( ~ (v0 = 0) & inregion(c_georegion_l4_x14_y39,
% 11.14/2.38 | | | | c_georegion_l3_x4_y13) = v0)
% 11.14/2.38 | | | |
% 11.14/2.38 | | | | DELTA: instantiating (72) with fresh symbol all_78_0 gives:
% 11.14/2.38 | | | | (73) ~ (all_78_0 = 0) & inregion(c_georegion_l4_x14_y39,
% 11.14/2.38 | | | | c_georegion_l3_x4_y13) = all_78_0
% 11.14/2.38 | | | |
% 11.14/2.38 | | | | ALPHA: (73) implies:
% 11.14/2.38 | | | | (74) ~ (all_78_0 = 0)
% 11.14/2.38 | | | | (75) inregion(c_georegion_l4_x14_y39, c_georegion_l3_x4_y13) =
% 11.14/2.38 | | | | all_78_0
% 11.14/2.38 | | | |
% 11.14/2.38 | | | | GROUND_INST: instantiating (16) with 0, all_78_0, c_georegion_l3_x4_y13,
% 11.14/2.38 | | | | c_georegion_l4_x14_y39, simplifying with (47), (75) gives:
% 11.14/2.38 | | | | (76) all_78_0 = 0
% 11.14/2.38 | | | |
% 11.14/2.38 | | | | REDUCE: (74), (76) imply:
% 11.14/2.38 | | | | (77) $false
% 11.14/2.38 | | | |
% 11.14/2.38 | | | | CLOSE: (77) is inconsistent.
% 11.14/2.38 | | | |
% 11.14/2.38 | | | End of split
% 11.14/2.38 | | |
% 11.14/2.38 | | End of split
% 11.14/2.38 | |
% 11.14/2.38 | End of split
% 11.14/2.38 |
% 11.14/2.38 End of proof
% 11.14/2.38 % SZS output end Proof for theBenchmark
% 11.14/2.38
% 11.14/2.38 1766ms
%------------------------------------------------------------------------------