TSTP Solution File: CSR033+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR033+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 21:36:34 EDT 2023
% Result : Theorem 10.06s 2.07s
% Output : Proof 13.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CSR033+1 : TPTP v8.1.2. Released v3.4.0.
% 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n005.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 13:16:23 EDT 2023
% 0.12/0.34 % 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.
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 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 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 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.21/1.11 Prover 4: Preprocessing ...
% 3.21/1.11 Prover 1: Preprocessing ...
% 3.26/1.15 Prover 6: Preprocessing ...
% 3.26/1.15 Prover 5: Preprocessing ...
% 3.26/1.15 Prover 3: Preprocessing ...
% 3.26/1.15 Prover 2: Preprocessing ...
% 3.26/1.15 Prover 0: Preprocessing ...
% 5.79/1.46 Prover 5: Constructing countermodel ...
% 5.79/1.47 Prover 2: Constructing countermodel ...
% 6.43/1.63 Prover 6: Constructing countermodel ...
% 7.15/1.64 Prover 1: Constructing countermodel ...
% 7.15/1.65 Prover 3: Constructing countermodel ...
% 8.38/1.81 Prover 4: Constructing countermodel ...
% 8.69/1.85 Prover 0: Proving ...
% 10.06/2.07 Prover 3: proved (1439ms)
% 10.06/2.07
% 10.06/2.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.06/2.07
% 10.06/2.08 Prover 6: stopped
% 10.06/2.08 Prover 5: stopped
% 10.06/2.08 Prover 2: stopped
% 10.47/2.09 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 10.47/2.09 Prover 0: stopped
% 10.47/2.09 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 10.47/2.09 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 10.47/2.09 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 10.47/2.10 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 10.47/2.13 Prover 11: Preprocessing ...
% 10.47/2.14 Prover 10: Preprocessing ...
% 10.95/2.15 Prover 7: Preprocessing ...
% 11.04/2.17 Prover 13: Preprocessing ...
% 11.04/2.18 Prover 8: Preprocessing ...
% 11.43/2.21 Prover 10: Constructing countermodel ...
% 11.43/2.24 Prover 7: Constructing countermodel ...
% 11.71/2.28 Prover 13: Constructing countermodel ...
% 11.71/2.32 Prover 1: Found proof (size 128)
% 11.71/2.32 Prover 1: proved (1687ms)
% 11.71/2.32 Prover 13: stopped
% 11.71/2.32 Prover 10: stopped
% 11.71/2.32 Prover 7: stopped
% 11.71/2.32 Prover 4: stopped
% 12.34/2.36 Prover 8: Warning: ignoring some quantifiers
% 12.34/2.37 Prover 8: Constructing countermodel ...
% 12.34/2.38 Prover 8: stopped
% 12.63/2.40 Prover 11: Constructing countermodel ...
% 12.63/2.41 Prover 11: stopped
% 12.63/2.41
% 12.63/2.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.63/2.41
% 12.63/2.42 % SZS output start Proof for theBenchmark
% 12.63/2.43 Assumptions after simplification:
% 12.63/2.43 ---------------------------------
% 12.63/2.43
% 12.63/2.43 (just10)
% 12.92/2.45 genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt) = 0 &
% 12.92/2.45 $i(c_tptpgeo_member8_mt) & $i(c_tptpgeo_spindleheadmt)
% 12.92/2.45
% 12.92/2.45 (just11)
% 12.92/2.45 genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member8_mt) = 0 &
% 12.92/2.45 $i(c_tptpgeo_member8_mt) & $i(c_tptpgeo_spindlecollectormt)
% 12.92/2.45
% 12.92/2.45 (just12)
% 12.97/2.46 $i(c_georegion_l1_x2_y0) & $i(c_worldgeographymt) & ? [v0: any] : ? [v1:
% 12.97/2.46 any] : (mtvisible(c_worldgeographymt) = v0 &
% 12.97/2.46 geolevel_1(c_georegion_l1_x2_y0) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 12.97/2.46
% 12.97/2.46 (just13)
% 12.97/2.46 $i(c_georegion_l2_x8_y2) & $i(c_georegion_l1_x2_y0) & $i(c_tptpgeo_member2_mt)
% 12.97/2.46 & ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member2_mt) = v0 &
% 12.97/2.46 geographicalsubregions(c_georegion_l1_x2_y0, c_georegion_l2_x8_y2) = v1 & (
% 12.97/2.46 ~ (v0 = 0) | v1 = 0))
% 12.97/2.46
% 12.97/2.46 (just14)
% 12.97/2.46 $i(c_georegion_l3_x25_y7) & $i(c_georegion_l2_x8_y2) &
% 12.97/2.46 $i(c_tptpgeo_member2_mt) & ? [v0: any] : ? [v1: any] :
% 12.97/2.46 (mtvisible(c_tptpgeo_member2_mt) = v0 &
% 12.97/2.46 geographicalsubregions(c_georegion_l2_x8_y2, c_georegion_l3_x25_y7) = v1 & (
% 12.97/2.46 ~ (v0 = 0) | v1 = 0))
% 12.97/2.46
% 12.97/2.46 (just15)
% 12.97/2.46 $i(c_georegion_l4_x76_y23) & $i(c_georegion_l3_x25_y7) &
% 12.97/2.46 $i(c_tptpgeo_member2_mt) & ? [v0: any] : ? [v1: any] :
% 12.97/2.46 (mtvisible(c_tptpgeo_member2_mt) = v0 &
% 12.97/2.46 geographicalsubregions(c_georegion_l3_x25_y7, c_georegion_l4_x76_y23) = v1 &
% 12.97/2.46 ( ~ (v0 = 0) | v1 = 0))
% 12.97/2.46
% 12.97/2.46 (just16)
% 12.97/2.46 $i(c_geolocation_x76_y23) & $i(c_georegion_l4_x76_y23) &
% 12.97/2.46 $i(c_tptpgeo_member2_mt) & ? [v0: any] : ? [v1: any] :
% 12.97/2.46 (mtvisible(c_tptpgeo_member2_mt) = v0 & inregion(c_geolocation_x76_y23,
% 12.97/2.46 c_georegion_l4_x76_y23) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 12.97/2.46
% 12.97/2.46 (just35)
% 12.97/2.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 12.97/2.46 (geographicalsubregions(v0, v2) = v3) | ~ (geographicalsubregions(v0, v1) =
% 12.97/2.46 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 12.97/2.46 geographicalsubregions(v1, v2) = v4))
% 12.97/2.46
% 12.97/2.46 (just45)
% 12.97/2.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 12.97/2.46 (inregion(v0, v2) = v3) | ~ (inregion(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1)
% 12.97/2.46 | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & inregion(v1, v2) = v4))
% 12.97/2.46
% 12.97/2.46 (just5)
% 12.97/2.47 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (inregion(v1, v0) =
% 12.97/2.47 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) &
% 12.97/2.47 geographicalsubregions(v0, v1) = v3))
% 12.97/2.47
% 12.97/2.47 (just53)
% 12.97/2.47 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (mtvisible(v1) = v2) |
% 12.97/2.47 ~ (mtvisible(v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0)
% 12.97/2.47 & genlmt(v0, v1) = v3))
% 12.97/2.47
% 12.97/2.47 (just58)
% 12.97/2.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 12.97/2.47 (genlmt(v0, v2) = v3) | ~ (genlmt(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~
% 12.97/2.47 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & genlmt(v1, v2) = v4))
% 12.97/2.47
% 12.97/2.47 (just8)
% 12.97/2.47 genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = 0 &
% 12.97/2.47 $i(c_tptpgeo_spindleheadmt) & $i(c_worldgeographymt)
% 12.97/2.47
% 12.97/2.47 (just9)
% 12.97/2.47 genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member2_mt) = 0 &
% 12.97/2.47 $i(c_tptpgeo_member2_mt) & $i(c_tptpgeo_spindlecollectormt)
% 12.97/2.47
% 12.97/2.47 (query33)
% 12.97/2.47 $i(c_geolocation_x76_y23) & $i(c_georegion_l1_x2_y0) &
% 12.97/2.47 $i(c_tptpgeo_spindlecollectormt) & ? [v0: any] : ? [v1: any] :
% 12.97/2.47 (mtvisible(c_tptpgeo_spindlecollectormt) = 0 &
% 12.97/2.47 geolevel_1(c_georegion_l1_x2_y0) = v1 & inregion(c_geolocation_x76_y23,
% 12.97/2.47 c_georegion_l1_x2_y0) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0)))
% 12.97/2.47
% 12.97/2.47 (function-axioms)
% 12.97/2.48 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 12.97/2.48 [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & !
% 12.97/2.48 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 12.97/2.48 $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0))
% 12.97/2.48 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 12.97/2.48 [v3: $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3,
% 12.97/2.48 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 12.97/2.48 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2)
% 12.97/2.48 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 12.97/2.48 $i] : ! [v3: $i] : (v1 = v0 | ~ (inregion(v3, v2) = v1) | ~ (inregion(v3,
% 12.97/2.48 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] :
% 12.97/2.48 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (geographicalsubregions(v3, v2) = v1)
% 12.97/2.48 | ~ (geographicalsubregions(v3, v2) = v0)) & ! [v0: MultipleValueBool] :
% 12.97/2.48 ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 12.97/2.48 (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0:
% 12.97/2.48 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 12.97/2.48 : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0:
% 12.97/2.48 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 12.97/2.48 ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0:
% 12.97/2.48 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 12.97/2.48 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 12.97/2.48 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 12.97/2.48 (spatialthing_nonsituational(v2) = v1) | ~ (spatialthing_nonsituational(v2)
% 12.97/2.48 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 12.97/2.48 $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1) | ~ (binarypredicate(v2) =
% 12.97/2.48 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 12.97/2.48 $i] : (v1 = v0 | ~ (geographicalregion(v2) = v1) | ~
% 12.97/2.48 (geographicalregion(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 12.97/2.48 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~
% 12.97/2.48 (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 12.97/2.48 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~
% 12.97/2.48 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 12.97/2.48 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~
% 12.97/2.48 (mtvisible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 12.97/2.48 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (geolevel_1(v2) = v1) | ~
% 12.97/2.48 (geolevel_1(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 12.97/2.48 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 12.97/2.48 (transitivebinarypredicate(v2) = v1) | ~ (transitivebinarypredicate(v2) =
% 12.97/2.48 v0))
% 12.97/2.48
% 12.97/2.48 Further assumptions not needed in the proof:
% 12.97/2.48 --------------------------------------------
% 12.97/2.48 just1, just17, just18, just19, just2, just20, just21, just22, just23, just24,
% 12.97/2.48 just25, just26, just27, just28, just29, just3, just30, just31, just32, just33,
% 12.97/2.48 just34, just36, just37, just38, just39, just4, just40, just41, just42, just43,
% 12.97/2.48 just44, just46, just47, just48, just49, just50, just51, just52, just54, just55,
% 12.97/2.48 just56, just57, just59, just6, just60, just61, just7
% 12.97/2.48
% 12.97/2.48 Those formulas are unsatisfiable:
% 12.97/2.48 ---------------------------------
% 12.97/2.48
% 12.97/2.48 Begin of proof
% 12.97/2.48 |
% 12.97/2.48 | ALPHA: (just8) implies:
% 12.97/2.48 | (1) genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = 0
% 12.97/2.48 |
% 12.97/2.48 | ALPHA: (just9) implies:
% 12.97/2.48 | (2) genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member2_mt) = 0
% 12.97/2.48 |
% 12.97/2.48 | ALPHA: (just10) implies:
% 12.97/2.48 | (3) $i(c_tptpgeo_spindleheadmt)
% 12.97/2.48 | (4) genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt) = 0
% 12.97/2.48 |
% 12.97/2.48 | ALPHA: (just11) implies:
% 12.97/2.48 | (5) $i(c_tptpgeo_member8_mt)
% 12.97/2.48 | (6) genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member8_mt) = 0
% 12.97/2.48 |
% 12.97/2.48 | ALPHA: (just12) implies:
% 12.97/2.48 | (7) $i(c_worldgeographymt)
% 12.97/2.48 | (8) ? [v0: any] : ? [v1: any] : (mtvisible(c_worldgeographymt) = v0 &
% 12.97/2.48 | geolevel_1(c_georegion_l1_x2_y0) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 12.97/2.48 |
% 12.97/2.48 | ALPHA: (just13) implies:
% 12.97/2.48 | (9) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member2_mt) = v0 &
% 12.97/2.48 | geographicalsubregions(c_georegion_l1_x2_y0, c_georegion_l2_x8_y2) =
% 12.97/2.48 | v1 & ( ~ (v0 = 0) | v1 = 0))
% 12.97/2.48 |
% 12.97/2.48 | ALPHA: (just14) implies:
% 12.97/2.48 | (10) $i(c_georegion_l2_x8_y2)
% 12.97/2.48 | (11) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member2_mt) = v0 &
% 12.97/2.48 | geographicalsubregions(c_georegion_l2_x8_y2, c_georegion_l3_x25_y7)
% 12.97/2.48 | = v1 & ( ~ (v0 = 0) | v1 = 0))
% 12.97/2.48 |
% 12.97/2.48 | ALPHA: (just15) implies:
% 12.97/2.48 | (12) $i(c_georegion_l3_x25_y7)
% 12.97/2.48 | (13) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member2_mt) = v0 &
% 12.97/2.48 | geographicalsubregions(c_georegion_l3_x25_y7,
% 12.97/2.49 | c_georegion_l4_x76_y23) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 12.97/2.49 |
% 12.97/2.49 | ALPHA: (just16) implies:
% 12.97/2.49 | (14) $i(c_tptpgeo_member2_mt)
% 12.97/2.49 | (15) $i(c_georegion_l4_x76_y23)
% 12.97/2.49 | (16) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member2_mt) = v0 &
% 12.97/2.49 | inregion(c_geolocation_x76_y23, c_georegion_l4_x76_y23) = v1 & ( ~
% 12.97/2.49 | (v0 = 0) | v1 = 0))
% 12.97/2.49 |
% 12.97/2.49 | ALPHA: (query33) implies:
% 12.97/2.49 | (17) $i(c_tptpgeo_spindlecollectormt)
% 12.97/2.49 | (18) $i(c_georegion_l1_x2_y0)
% 12.97/2.49 | (19) $i(c_geolocation_x76_y23)
% 12.97/2.49 | (20) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_spindlecollectormt)
% 12.97/2.49 | = 0 & geolevel_1(c_georegion_l1_x2_y0) = v1 &
% 12.97/2.49 | inregion(c_geolocation_x76_y23, c_georegion_l1_x2_y0) = v0 & ( ~ (v1
% 12.97/2.49 | = 0) | ~ (v0 = 0)))
% 12.97/2.49 |
% 12.97/2.49 | ALPHA: (function-axioms) implies:
% 12.97/2.49 | (21) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 12.97/2.49 | : (v1 = v0 | ~ (geolevel_1(v2) = v1) | ~ (geolevel_1(v2) = v0))
% 12.97/2.49 | (22) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 12.97/2.49 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 12.97/2.49 | (23) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 12.97/2.49 | : ! [v3: $i] : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3,
% 12.97/2.49 | v2) = v0))
% 12.97/2.49 | (24) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i]
% 12.97/2.49 | : ! [v3: $i] : (v1 = v0 | ~ (geographicalsubregions(v3, v2) = v1) |
% 12.97/2.49 | ~ (geographicalsubregions(v3, v2) = v0))
% 12.97/2.49 |
% 12.97/2.49 | DELTA: instantiating (8) with fresh symbols all_48_0, all_48_1 gives:
% 12.97/2.49 | (25) mtvisible(c_worldgeographymt) = all_48_1 &
% 12.97/2.49 | geolevel_1(c_georegion_l1_x2_y0) = all_48_0 & ( ~ (all_48_1 = 0) |
% 12.97/2.49 | all_48_0 = 0)
% 12.97/2.49 |
% 12.97/2.49 | ALPHA: (25) implies:
% 12.97/2.49 | (26) geolevel_1(c_georegion_l1_x2_y0) = all_48_0
% 12.97/2.49 | (27) mtvisible(c_worldgeographymt) = all_48_1
% 12.97/2.49 | (28) ~ (all_48_1 = 0) | all_48_0 = 0
% 12.97/2.49 |
% 12.97/2.49 | DELTA: instantiating (11) with fresh symbols all_50_0, all_50_1 gives:
% 12.97/2.49 | (29) mtvisible(c_tptpgeo_member2_mt) = all_50_1 &
% 12.97/2.49 | geographicalsubregions(c_georegion_l2_x8_y2, c_georegion_l3_x25_y7) =
% 12.97/2.49 | all_50_0 & ( ~ (all_50_1 = 0) | all_50_0 = 0)
% 12.97/2.49 |
% 12.97/2.49 | ALPHA: (29) implies:
% 12.97/2.49 | (30) geographicalsubregions(c_georegion_l2_x8_y2, c_georegion_l3_x25_y7) =
% 12.97/2.49 | all_50_0
% 12.97/2.49 | (31) mtvisible(c_tptpgeo_member2_mt) = all_50_1
% 12.97/2.49 | (32) ~ (all_50_1 = 0) | all_50_0 = 0
% 12.97/2.49 |
% 12.97/2.49 | DELTA: instantiating (13) with fresh symbols all_52_0, all_52_1 gives:
% 12.97/2.49 | (33) mtvisible(c_tptpgeo_member2_mt) = all_52_1 &
% 12.97/2.49 | geographicalsubregions(c_georegion_l3_x25_y7, c_georegion_l4_x76_y23)
% 12.97/2.49 | = all_52_0 & ( ~ (all_52_1 = 0) | all_52_0 = 0)
% 12.97/2.49 |
% 12.97/2.49 | ALPHA: (33) implies:
% 12.97/2.49 | (34) geographicalsubregions(c_georegion_l3_x25_y7, c_georegion_l4_x76_y23)
% 12.97/2.49 | = all_52_0
% 12.97/2.49 | (35) mtvisible(c_tptpgeo_member2_mt) = all_52_1
% 12.97/2.49 | (36) ~ (all_52_1 = 0) | all_52_0 = 0
% 12.97/2.49 |
% 12.97/2.49 | DELTA: instantiating (16) with fresh symbols all_54_0, all_54_1 gives:
% 12.97/2.49 | (37) mtvisible(c_tptpgeo_member2_mt) = all_54_1 &
% 12.97/2.49 | inregion(c_geolocation_x76_y23, c_georegion_l4_x76_y23) = all_54_0 & (
% 12.97/2.49 | ~ (all_54_1 = 0) | all_54_0 = 0)
% 12.97/2.49 |
% 12.97/2.49 | ALPHA: (37) implies:
% 12.97/2.49 | (38) inregion(c_geolocation_x76_y23, c_georegion_l4_x76_y23) = all_54_0
% 12.97/2.49 | (39) mtvisible(c_tptpgeo_member2_mt) = all_54_1
% 12.97/2.50 | (40) ~ (all_54_1 = 0) | all_54_0 = 0
% 12.97/2.50 |
% 12.97/2.50 | DELTA: instantiating (9) with fresh symbols all_56_0, all_56_1 gives:
% 12.97/2.50 | (41) mtvisible(c_tptpgeo_member2_mt) = all_56_1 &
% 12.97/2.50 | geographicalsubregions(c_georegion_l1_x2_y0, c_georegion_l2_x8_y2) =
% 12.97/2.50 | all_56_0 & ( ~ (all_56_1 = 0) | all_56_0 = 0)
% 12.97/2.50 |
% 12.97/2.50 | ALPHA: (41) implies:
% 12.97/2.50 | (42) geographicalsubregions(c_georegion_l1_x2_y0, c_georegion_l2_x8_y2) =
% 12.97/2.50 | all_56_0
% 12.97/2.50 | (43) mtvisible(c_tptpgeo_member2_mt) = all_56_1
% 12.97/2.50 | (44) ~ (all_56_1 = 0) | all_56_0 = 0
% 12.97/2.50 |
% 12.97/2.50 | DELTA: instantiating (20) with fresh symbols all_58_0, all_58_1 gives:
% 12.97/2.50 | (45) mtvisible(c_tptpgeo_spindlecollectormt) = 0 &
% 12.97/2.50 | geolevel_1(c_georegion_l1_x2_y0) = all_58_0 &
% 12.97/2.50 | inregion(c_geolocation_x76_y23, c_georegion_l1_x2_y0) = all_58_1 & ( ~
% 12.97/2.50 | (all_58_0 = 0) | ~ (all_58_1 = 0))
% 12.97/2.50 |
% 12.97/2.50 | ALPHA: (45) implies:
% 12.97/2.50 | (46) inregion(c_geolocation_x76_y23, c_georegion_l1_x2_y0) = all_58_1
% 12.97/2.50 | (47) geolevel_1(c_georegion_l1_x2_y0) = all_58_0
% 12.97/2.50 | (48) mtvisible(c_tptpgeo_spindlecollectormt) = 0
% 12.97/2.50 | (49) ~ (all_58_0 = 0) | ~ (all_58_1 = 0)
% 12.97/2.50 |
% 12.97/2.50 | GROUND_INST: instantiating (21) with all_48_0, all_58_0, c_georegion_l1_x2_y0,
% 12.97/2.50 | simplifying with (26), (47) gives:
% 12.97/2.50 | (50) all_58_0 = all_48_0
% 12.97/2.50 |
% 12.97/2.50 | GROUND_INST: instantiating (22) with all_54_1, all_56_1, c_tptpgeo_member2_mt,
% 12.97/2.50 | simplifying with (39), (43) gives:
% 12.97/2.50 | (51) all_56_1 = all_54_1
% 12.97/2.50 |
% 12.97/2.50 | GROUND_INST: instantiating (22) with all_52_1, all_56_1, c_tptpgeo_member2_mt,
% 12.97/2.50 | simplifying with (35), (43) gives:
% 12.97/2.50 | (52) all_56_1 = all_52_1
% 12.97/2.50 |
% 12.97/2.50 | GROUND_INST: instantiating (22) with all_50_1, all_56_1, c_tptpgeo_member2_mt,
% 12.97/2.50 | simplifying with (31), (43) gives:
% 12.97/2.50 | (53) all_56_1 = all_50_1
% 12.97/2.50 |
% 12.97/2.50 | COMBINE_EQS: (51), (52) imply:
% 12.97/2.50 | (54) all_54_1 = all_52_1
% 12.97/2.50 |
% 12.97/2.50 | COMBINE_EQS: (51), (53) imply:
% 12.97/2.50 | (55) all_54_1 = all_50_1
% 12.97/2.50 |
% 12.97/2.50 | COMBINE_EQS: (54), (55) imply:
% 12.97/2.50 | (56) all_52_1 = all_50_1
% 12.97/2.50 |
% 12.97/2.50 | SIMP: (56) implies:
% 12.97/2.50 | (57) all_52_1 = all_50_1
% 12.97/2.50 |
% 12.97/2.50 | GROUND_INST: instantiating (just5) with c_georegion_l1_x2_y0,
% 12.97/2.50 | c_geolocation_x76_y23, all_58_1, simplifying with (18), (19),
% 12.97/2.50 | (46) gives:
% 12.97/2.50 | (58) all_58_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 12.97/2.50 | geographicalsubregions(c_georegion_l1_x2_y0, c_geolocation_x76_y23)
% 12.97/2.50 | = v0)
% 12.97/2.50 |
% 12.97/2.50 | GROUND_INST: instantiating (just53) with c_tptpgeo_spindlecollectormt,
% 12.97/2.50 | c_worldgeographymt, all_48_1, simplifying with (7), (17), (27),
% 12.97/2.50 | (48) gives:
% 12.97/2.50 | (59) all_48_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 12.97/2.50 | genlmt(c_tptpgeo_spindlecollectormt, c_worldgeographymt) = v0)
% 12.97/2.50 |
% 12.97/2.50 | GROUND_INST: instantiating (just53) with c_tptpgeo_spindlecollectormt,
% 12.97/2.50 | c_tptpgeo_member2_mt, all_50_1, simplifying with (14), (17),
% 12.97/2.50 | (31), (48) gives:
% 12.97/2.50 | (60) all_50_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 12.97/2.50 | genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member2_mt) = v0)
% 12.97/2.50 |
% 12.97/2.50 | BETA: splitting (60) gives:
% 12.97/2.50 |
% 12.97/2.50 | Case 1:
% 12.97/2.50 | |
% 12.97/2.50 | | (61) all_50_1 = 0
% 12.97/2.50 | |
% 12.97/2.50 | | COMBINE_EQS: (57), (61) imply:
% 12.97/2.50 | | (62) all_52_1 = 0
% 12.97/2.50 | |
% 12.97/2.50 | | COMBINE_EQS: (55), (61) imply:
% 12.97/2.50 | | (63) all_54_1 = 0
% 12.97/2.50 | |
% 12.97/2.50 | | COMBINE_EQS: (53), (61) imply:
% 12.97/2.50 | | (64) all_56_1 = 0
% 12.97/2.50 | |
% 12.97/2.50 | | BETA: splitting (32) gives:
% 12.97/2.50 | |
% 12.97/2.50 | | Case 1:
% 12.97/2.50 | | |
% 12.97/2.50 | | | (65) ~ (all_50_1 = 0)
% 12.97/2.50 | | |
% 12.97/2.51 | | | REDUCE: (61), (65) imply:
% 12.97/2.51 | | | (66) $false
% 12.97/2.51 | | |
% 12.97/2.51 | | | CLOSE: (66) is inconsistent.
% 12.97/2.51 | | |
% 12.97/2.51 | | Case 2:
% 12.97/2.51 | | |
% 12.97/2.51 | | | (67) all_50_0 = 0
% 12.97/2.51 | | |
% 12.97/2.51 | | | REDUCE: (30), (67) imply:
% 13.22/2.51 | | | (68) geographicalsubregions(c_georegion_l2_x8_y2,
% 13.22/2.51 | | | c_georegion_l3_x25_y7) = 0
% 13.22/2.51 | | |
% 13.22/2.51 | | | BETA: splitting (44) gives:
% 13.22/2.51 | | |
% 13.22/2.51 | | | Case 1:
% 13.22/2.51 | | | |
% 13.22/2.51 | | | | (69) ~ (all_56_1 = 0)
% 13.22/2.51 | | | |
% 13.22/2.51 | | | | REDUCE: (64), (69) imply:
% 13.22/2.51 | | | | (70) $false
% 13.22/2.51 | | | |
% 13.22/2.51 | | | | CLOSE: (70) is inconsistent.
% 13.22/2.51 | | | |
% 13.22/2.51 | | | Case 2:
% 13.22/2.51 | | | |
% 13.22/2.51 | | | | (71) all_56_0 = 0
% 13.22/2.51 | | | |
% 13.22/2.51 | | | | REDUCE: (42), (71) imply:
% 13.22/2.51 | | | | (72) geographicalsubregions(c_georegion_l1_x2_y0,
% 13.22/2.51 | | | | c_georegion_l2_x8_y2) = 0
% 13.22/2.51 | | | |
% 13.22/2.51 | | | | BETA: splitting (36) gives:
% 13.22/2.51 | | | |
% 13.22/2.51 | | | | Case 1:
% 13.22/2.51 | | | | |
% 13.22/2.51 | | | | | (73) ~ (all_52_1 = 0)
% 13.22/2.51 | | | | |
% 13.22/2.51 | | | | | REDUCE: (62), (73) imply:
% 13.22/2.51 | | | | | (74) $false
% 13.22/2.51 | | | | |
% 13.22/2.51 | | | | | CLOSE: (74) is inconsistent.
% 13.22/2.51 | | | | |
% 13.22/2.51 | | | | Case 2:
% 13.22/2.51 | | | | |
% 13.22/2.51 | | | | | (75) all_52_0 = 0
% 13.22/2.51 | | | | |
% 13.22/2.51 | | | | | REDUCE: (34), (75) imply:
% 13.22/2.51 | | | | | (76) geographicalsubregions(c_georegion_l3_x25_y7,
% 13.22/2.51 | | | | | c_georegion_l4_x76_y23) = 0
% 13.22/2.51 | | | | |
% 13.22/2.51 | | | | | BETA: splitting (40) gives:
% 13.22/2.51 | | | | |
% 13.22/2.51 | | | | | Case 1:
% 13.22/2.51 | | | | | |
% 13.22/2.51 | | | | | | (77) ~ (all_54_1 = 0)
% 13.22/2.51 | | | | | |
% 13.22/2.51 | | | | | | REDUCE: (63), (77) imply:
% 13.22/2.51 | | | | | | (78) $false
% 13.22/2.51 | | | | | |
% 13.22/2.51 | | | | | | CLOSE: (78) is inconsistent.
% 13.22/2.51 | | | | | |
% 13.22/2.51 | | | | | Case 2:
% 13.22/2.51 | | | | | |
% 13.22/2.51 | | | | | | (79) all_54_0 = 0
% 13.22/2.51 | | | | | |
% 13.22/2.51 | | | | | | REDUCE: (38), (79) imply:
% 13.22/2.51 | | | | | | (80) inregion(c_geolocation_x76_y23, c_georegion_l4_x76_y23) = 0
% 13.22/2.51 | | | | | |
% 13.22/2.51 | | | | | | GROUND_INST: instantiating (just45) with c_geolocation_x76_y23,
% 13.22/2.51 | | | | | | c_georegion_l4_x76_y23, c_georegion_l1_x2_y0, all_58_1,
% 13.22/2.51 | | | | | | simplifying with (15), (18), (19), (46), (80) gives:
% 13.22/2.51 | | | | | | (81) all_58_1 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.51 | | | | | | inregion(c_georegion_l4_x76_y23, c_georegion_l1_x2_y0) =
% 13.22/2.51 | | | | | | v0)
% 13.22/2.51 | | | | | |
% 13.22/2.51 | | | | | | BETA: splitting (28) gives:
% 13.22/2.51 | | | | | |
% 13.22/2.51 | | | | | | Case 1:
% 13.22/2.51 | | | | | | |
% 13.22/2.51 | | | | | | | (82) ~ (all_48_1 = 0)
% 13.22/2.51 | | | | | | |
% 13.22/2.51 | | | | | | | BETA: splitting (59) gives:
% 13.22/2.51 | | | | | | |
% 13.22/2.51 | | | | | | | Case 1:
% 13.22/2.51 | | | | | | | |
% 13.22/2.51 | | | | | | | | (83) all_48_1 = 0
% 13.22/2.51 | | | | | | | |
% 13.22/2.51 | | | | | | | | REDUCE: (82), (83) imply:
% 13.22/2.51 | | | | | | | | (84) $false
% 13.22/2.51 | | | | | | | |
% 13.22/2.51 | | | | | | | | CLOSE: (84) is inconsistent.
% 13.22/2.51 | | | | | | | |
% 13.22/2.51 | | | | | | | Case 2:
% 13.22/2.51 | | | | | | | |
% 13.22/2.51 | | | | | | | | (85) ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.51 | | | | | | | | genlmt(c_tptpgeo_spindlecollectormt,
% 13.22/2.51 | | | | | | | | c_worldgeographymt) = v0)
% 13.22/2.51 | | | | | | | |
% 13.22/2.51 | | | | | | | | DELTA: instantiating (85) with fresh symbol all_118_0 gives:
% 13.22/2.51 | | | | | | | | (86) ~ (all_118_0 = 0) &
% 13.22/2.51 | | | | | | | | genlmt(c_tptpgeo_spindlecollectormt, c_worldgeographymt)
% 13.22/2.51 | | | | | | | | = all_118_0
% 13.22/2.51 | | | | | | | |
% 13.22/2.51 | | | | | | | | ALPHA: (86) implies:
% 13.22/2.51 | | | | | | | | (87) ~ (all_118_0 = 0)
% 13.22/2.51 | | | | | | | | (88) genlmt(c_tptpgeo_spindlecollectormt, c_worldgeographymt)
% 13.22/2.51 | | | | | | | | = all_118_0
% 13.22/2.51 | | | | | | | |
% 13.22/2.51 | | | | | | | | GROUND_INST: instantiating (just58) with
% 13.22/2.51 | | | | | | | | c_tptpgeo_spindlecollectormt, c_tptpgeo_member8_mt,
% 13.22/2.51 | | | | | | | | c_worldgeographymt, all_118_0, simplifying with
% 13.22/2.51 | | | | | | | | (5), (6), (7), (17), (88) gives:
% 13.22/2.51 | | | | | | | | (89) all_118_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.51 | | | | | | | | genlmt(c_tptpgeo_member8_mt, c_worldgeographymt) = v0)
% 13.22/2.51 | | | | | | | |
% 13.22/2.51 | | | | | | | | BETA: splitting (89) gives:
% 13.22/2.51 | | | | | | | |
% 13.22/2.51 | | | | | | | | Case 1:
% 13.22/2.51 | | | | | | | | |
% 13.22/2.51 | | | | | | | | | (90) all_118_0 = 0
% 13.22/2.51 | | | | | | | | |
% 13.22/2.51 | | | | | | | | | REDUCE: (87), (90) imply:
% 13.22/2.51 | | | | | | | | | (91) $false
% 13.22/2.51 | | | | | | | | |
% 13.22/2.51 | | | | | | | | | CLOSE: (91) is inconsistent.
% 13.22/2.51 | | | | | | | | |
% 13.22/2.51 | | | | | | | | Case 2:
% 13.22/2.51 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | (92) ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.52 | | | | | | | | | genlmt(c_tptpgeo_member8_mt, c_worldgeographymt) =
% 13.22/2.52 | | | | | | | | | v0)
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | DELTA: instantiating (92) with fresh symbol all_141_0 gives:
% 13.22/2.52 | | | | | | | | | (93) ~ (all_141_0 = 0) & genlmt(c_tptpgeo_member8_mt,
% 13.22/2.52 | | | | | | | | | c_worldgeographymt) = all_141_0
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | ALPHA: (93) implies:
% 13.22/2.52 | | | | | | | | | (94) ~ (all_141_0 = 0)
% 13.22/2.52 | | | | | | | | | (95) genlmt(c_tptpgeo_member8_mt, c_worldgeographymt) =
% 13.22/2.52 | | | | | | | | | all_141_0
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | GROUND_INST: instantiating (just58) with c_tptpgeo_member8_mt,
% 13.22/2.52 | | | | | | | | | c_tptpgeo_spindleheadmt, c_worldgeographymt,
% 13.22/2.52 | | | | | | | | | all_141_0, simplifying with (3), (4), (5), (7),
% 13.22/2.52 | | | | | | | | | (95) gives:
% 13.22/2.52 | | | | | | | | | (96) all_141_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.52 | | | | | | | | | genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)
% 13.22/2.52 | | | | | | | | | = v0)
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | BETA: splitting (96) gives:
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | Case 1:
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | (97) all_141_0 = 0
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | REDUCE: (94), (97) imply:
% 13.22/2.52 | | | | | | | | | | (98) $false
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | CLOSE: (98) is inconsistent.
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | Case 2:
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | (99) ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.52 | | | | | | | | | | genlmt(c_tptpgeo_spindleheadmt,
% 13.22/2.52 | | | | | | | | | | c_worldgeographymt) = v0)
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | DELTA: instantiating (99) with fresh symbol all_154_0 gives:
% 13.22/2.52 | | | | | | | | | | (100) ~ (all_154_0 = 0) &
% 13.22/2.52 | | | | | | | | | | genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)
% 13.22/2.52 | | | | | | | | | | = all_154_0
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | ALPHA: (100) implies:
% 13.22/2.52 | | | | | | | | | | (101) ~ (all_154_0 = 0)
% 13.22/2.52 | | | | | | | | | | (102) genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)
% 13.22/2.52 | | | | | | | | | | = all_154_0
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | GROUND_INST: instantiating (23) with 0, all_154_0,
% 13.22/2.52 | | | | | | | | | | c_worldgeographymt, c_tptpgeo_spindleheadmt,
% 13.22/2.52 | | | | | | | | | | simplifying with (1), (102) gives:
% 13.22/2.52 | | | | | | | | | | (103) all_154_0 = 0
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | REDUCE: (101), (103) imply:
% 13.22/2.52 | | | | | | | | | | (104) $false
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | CLOSE: (104) is inconsistent.
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | End of split
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | End of split
% 13.22/2.52 | | | | | | | |
% 13.22/2.52 | | | | | | | End of split
% 13.22/2.52 | | | | | | |
% 13.22/2.52 | | | | | | Case 2:
% 13.22/2.52 | | | | | | |
% 13.22/2.52 | | | | | | | (105) all_48_0 = 0
% 13.22/2.52 | | | | | | |
% 13.22/2.52 | | | | | | | COMBINE_EQS: (50), (105) imply:
% 13.22/2.52 | | | | | | | (106) all_58_0 = 0
% 13.22/2.52 | | | | | | |
% 13.22/2.52 | | | | | | | BETA: splitting (49) gives:
% 13.22/2.52 | | | | | | |
% 13.22/2.52 | | | | | | | Case 1:
% 13.22/2.52 | | | | | | | |
% 13.22/2.52 | | | | | | | | (107) ~ (all_58_0 = 0)
% 13.22/2.52 | | | | | | | |
% 13.22/2.52 | | | | | | | | REDUCE: (106), (107) imply:
% 13.22/2.52 | | | | | | | | (108) $false
% 13.22/2.52 | | | | | | | |
% 13.22/2.52 | | | | | | | | CLOSE: (108) is inconsistent.
% 13.22/2.52 | | | | | | | |
% 13.22/2.52 | | | | | | | Case 2:
% 13.22/2.52 | | | | | | | |
% 13.22/2.52 | | | | | | | | (109) ~ (all_58_1 = 0)
% 13.22/2.52 | | | | | | | |
% 13.22/2.52 | | | | | | | | BETA: splitting (58) gives:
% 13.22/2.52 | | | | | | | |
% 13.22/2.52 | | | | | | | | Case 1:
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | (110) all_58_1 = 0
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | REDUCE: (109), (110) imply:
% 13.22/2.52 | | | | | | | | | (111) $false
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | CLOSE: (111) is inconsistent.
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | Case 2:
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | (112) ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.52 | | | | | | | | | geographicalsubregions(c_georegion_l1_x2_y0,
% 13.22/2.52 | | | | | | | | | c_geolocation_x76_y23) = v0)
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | DELTA: instantiating (112) with fresh symbol all_117_0 gives:
% 13.22/2.52 | | | | | | | | | (113) ~ (all_117_0 = 0) &
% 13.22/2.52 | | | | | | | | | geographicalsubregions(c_georegion_l1_x2_y0,
% 13.22/2.52 | | | | | | | | | c_geolocation_x76_y23) = all_117_0
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | ALPHA: (113) implies:
% 13.22/2.52 | | | | | | | | | (114) ~ (all_117_0 = 0)
% 13.22/2.52 | | | | | | | | | (115) geographicalsubregions(c_georegion_l1_x2_y0,
% 13.22/2.52 | | | | | | | | | c_geolocation_x76_y23) = all_117_0
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | BETA: splitting (81) gives:
% 13.22/2.52 | | | | | | | | |
% 13.22/2.52 | | | | | | | | | Case 1:
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | (116) all_58_1 = 0
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | REDUCE: (109), (116) imply:
% 13.22/2.52 | | | | | | | | | | (117) $false
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | CLOSE: (117) is inconsistent.
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | Case 2:
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | (118) ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.52 | | | | | | | | | | inregion(c_georegion_l4_x76_y23,
% 13.22/2.52 | | | | | | | | | | c_georegion_l1_x2_y0) = v0)
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | DELTA: instantiating (118) with fresh symbol all_122_0
% 13.22/2.52 | | | | | | | | | | gives:
% 13.22/2.52 | | | | | | | | | | (119) ~ (all_122_0 = 0) &
% 13.22/2.52 | | | | | | | | | | inregion(c_georegion_l4_x76_y23,
% 13.22/2.52 | | | | | | | | | | c_georegion_l1_x2_y0) = all_122_0
% 13.22/2.52 | | | | | | | | | |
% 13.22/2.52 | | | | | | | | | | ALPHA: (119) implies:
% 13.22/2.52 | | | | | | | | | | (120) ~ (all_122_0 = 0)
% 13.22/2.52 | | | | | | | | | | (121) inregion(c_georegion_l4_x76_y23,
% 13.22/2.52 | | | | | | | | | | c_georegion_l1_x2_y0) = all_122_0
% 13.22/2.53 | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | GROUND_INST: instantiating (just35) with c_georegion_l1_x2_y0,
% 13.22/2.53 | | | | | | | | | | c_georegion_l2_x8_y2, c_geolocation_x76_y23,
% 13.22/2.53 | | | | | | | | | | all_117_0, simplifying with (10), (18), (19),
% 13.22/2.53 | | | | | | | | | | (72), (115) gives:
% 13.22/2.53 | | | | | | | | | | (122) all_117_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.53 | | | | | | | | | | geographicalsubregions(c_georegion_l2_x8_y2,
% 13.22/2.53 | | | | | | | | | | c_geolocation_x76_y23) = v0)
% 13.22/2.53 | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | GROUND_INST: instantiating (just5) with c_georegion_l1_x2_y0,
% 13.22/2.53 | | | | | | | | | | c_georegion_l4_x76_y23, all_122_0, simplifying
% 13.22/2.53 | | | | | | | | | | with (15), (18), (121) gives:
% 13.22/2.53 | | | | | | | | | | (123) all_122_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.53 | | | | | | | | | | geographicalsubregions(c_georegion_l1_x2_y0,
% 13.22/2.53 | | | | | | | | | | c_georegion_l4_x76_y23) = v0)
% 13.22/2.53 | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | BETA: splitting (123) gives:
% 13.22/2.53 | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | Case 1:
% 13.22/2.53 | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | (124) all_122_0 = 0
% 13.22/2.53 | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | REDUCE: (120), (124) imply:
% 13.22/2.53 | | | | | | | | | | | (125) $false
% 13.22/2.53 | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | CLOSE: (125) is inconsistent.
% 13.22/2.53 | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | Case 2:
% 13.22/2.53 | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | (126) ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.53 | | | | | | | | | | | geographicalsubregions(c_georegion_l1_x2_y0,
% 13.22/2.53 | | | | | | | | | | | c_georegion_l4_x76_y23) = v0)
% 13.22/2.53 | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | DELTA: instantiating (126) with fresh symbol all_131_0
% 13.22/2.53 | | | | | | | | | | | gives:
% 13.22/2.53 | | | | | | | | | | | (127) ~ (all_131_0 = 0) &
% 13.22/2.53 | | | | | | | | | | | geographicalsubregions(c_georegion_l1_x2_y0,
% 13.22/2.53 | | | | | | | | | | | c_georegion_l4_x76_y23) = all_131_0
% 13.22/2.53 | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | ALPHA: (127) implies:
% 13.22/2.53 | | | | | | | | | | | (128) ~ (all_131_0 = 0)
% 13.22/2.53 | | | | | | | | | | | (129) geographicalsubregions(c_georegion_l1_x2_y0,
% 13.22/2.53 | | | | | | | | | | | c_georegion_l4_x76_y23) = all_131_0
% 13.22/2.53 | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | BETA: splitting (122) gives:
% 13.22/2.53 | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | Case 1:
% 13.22/2.53 | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | (130) all_117_0 = 0
% 13.22/2.53 | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | REDUCE: (114), (130) imply:
% 13.22/2.53 | | | | | | | | | | | | (131) $false
% 13.22/2.53 | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | CLOSE: (131) is inconsistent.
% 13.22/2.53 | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | Case 2:
% 13.22/2.53 | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | GROUND_INST: instantiating (just35) with c_georegion_l1_x2_y0,
% 13.22/2.53 | | | | | | | | | | | | c_georegion_l2_x8_y2, c_georegion_l4_x76_y23,
% 13.22/2.53 | | | | | | | | | | | | all_131_0, simplifying with (10), (15), (18),
% 13.22/2.53 | | | | | | | | | | | | (72), (129) gives:
% 13.22/2.53 | | | | | | | | | | | | (132) all_131_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.53 | | | | | | | | | | | | geographicalsubregions(c_georegion_l2_x8_y2,
% 13.22/2.53 | | | | | | | | | | | | c_georegion_l4_x76_y23) = v0)
% 13.22/2.53 | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | BETA: splitting (132) gives:
% 13.22/2.53 | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | Case 1:
% 13.22/2.53 | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | (133) all_131_0 = 0
% 13.22/2.53 | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | REDUCE: (128), (133) imply:
% 13.22/2.53 | | | | | | | | | | | | | (134) $false
% 13.22/2.53 | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | CLOSE: (134) is inconsistent.
% 13.22/2.53 | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | Case 2:
% 13.22/2.53 | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | (135) ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.53 | | | | | | | | | | | | | geographicalsubregions(c_georegion_l2_x8_y2,
% 13.22/2.53 | | | | | | | | | | | | | c_georegion_l4_x76_y23) = v0)
% 13.22/2.53 | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | DELTA: instantiating (135) with fresh symbol all_152_0
% 13.22/2.53 | | | | | | | | | | | | | gives:
% 13.22/2.53 | | | | | | | | | | | | | (136) ~ (all_152_0 = 0) &
% 13.22/2.53 | | | | | | | | | | | | | geographicalsubregions(c_georegion_l2_x8_y2,
% 13.22/2.53 | | | | | | | | | | | | | c_georegion_l4_x76_y23) = all_152_0
% 13.22/2.53 | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | ALPHA: (136) implies:
% 13.22/2.53 | | | | | | | | | | | | | (137) ~ (all_152_0 = 0)
% 13.22/2.53 | | | | | | | | | | | | | (138) geographicalsubregions(c_georegion_l2_x8_y2,
% 13.22/2.53 | | | | | | | | | | | | | c_georegion_l4_x76_y23) = all_152_0
% 13.22/2.53 | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | GROUND_INST: instantiating (just35) with c_georegion_l2_x8_y2,
% 13.22/2.53 | | | | | | | | | | | | | c_georegion_l3_x25_y7, c_georegion_l4_x76_y23,
% 13.22/2.53 | | | | | | | | | | | | | all_152_0, simplifying with (10), (12), (15),
% 13.22/2.53 | | | | | | | | | | | | | (68), (138) gives:
% 13.22/2.53 | | | | | | | | | | | | | (139) all_152_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.53 | | | | | | | | | | | | | geographicalsubregions(c_georegion_l3_x25_y7,
% 13.22/2.53 | | | | | | | | | | | | | c_georegion_l4_x76_y23) = v0)
% 13.22/2.53 | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | BETA: splitting (139) gives:
% 13.22/2.53 | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | Case 1:
% 13.22/2.53 | | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | | (140) all_152_0 = 0
% 13.22/2.53 | | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | | REDUCE: (137), (140) imply:
% 13.22/2.53 | | | | | | | | | | | | | | (141) $false
% 13.22/2.53 | | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | | CLOSE: (141) is inconsistent.
% 13.22/2.53 | | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | Case 2:
% 13.22/2.53 | | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | | (142) ? [v0: int] : ( ~ (v0 = 0) &
% 13.22/2.53 | | | | | | | | | | | | | | geographicalsubregions(c_georegion_l3_x25_y7,
% 13.22/2.53 | | | | | | | | | | | | | | c_georegion_l4_x76_y23) = v0)
% 13.22/2.53 | | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | | DELTA: instantiating (142) with fresh symbol all_167_0
% 13.22/2.53 | | | | | | | | | | | | | | gives:
% 13.22/2.53 | | | | | | | | | | | | | | (143) ~ (all_167_0 = 0) &
% 13.22/2.53 | | | | | | | | | | | | | | geographicalsubregions(c_georegion_l3_x25_y7,
% 13.22/2.53 | | | | | | | | | | | | | | c_georegion_l4_x76_y23) = all_167_0
% 13.22/2.53 | | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | | ALPHA: (143) implies:
% 13.22/2.53 | | | | | | | | | | | | | | (144) ~ (all_167_0 = 0)
% 13.22/2.53 | | | | | | | | | | | | | | (145) geographicalsubregions(c_georegion_l3_x25_y7,
% 13.22/2.53 | | | | | | | | | | | | | | c_georegion_l4_x76_y23) = all_167_0
% 13.22/2.53 | | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | | GROUND_INST: instantiating (24) with 0, all_167_0,
% 13.22/2.53 | | | | | | | | | | | | | | c_georegion_l4_x76_y23, c_georegion_l3_x25_y7,
% 13.22/2.53 | | | | | | | | | | | | | | simplifying with (76), (145) gives:
% 13.22/2.53 | | | | | | | | | | | | | | (146) all_167_0 = 0
% 13.22/2.53 | | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | | REDUCE: (144), (146) imply:
% 13.22/2.53 | | | | | | | | | | | | | | (147) $false
% 13.22/2.53 | | | | | | | | | | | | | |
% 13.22/2.53 | | | | | | | | | | | | | | CLOSE: (147) is inconsistent.
% 13.22/2.53 | | | | | | | | | | | | | |
% 13.22/2.54 | | | | | | | | | | | | | End of split
% 13.22/2.54 | | | | | | | | | | | | |
% 13.22/2.54 | | | | | | | | | | | | End of split
% 13.22/2.54 | | | | | | | | | | | |
% 13.22/2.54 | | | | | | | | | | | End of split
% 13.22/2.54 | | | | | | | | | | |
% 13.22/2.54 | | | | | | | | | | End of split
% 13.22/2.54 | | | | | | | | | |
% 13.22/2.54 | | | | | | | | | End of split
% 13.22/2.54 | | | | | | | | |
% 13.22/2.54 | | | | | | | | End of split
% 13.22/2.54 | | | | | | | |
% 13.22/2.54 | | | | | | | End of split
% 13.22/2.54 | | | | | | |
% 13.22/2.54 | | | | | | End of split
% 13.22/2.54 | | | | | |
% 13.22/2.54 | | | | | End of split
% 13.22/2.54 | | | | |
% 13.22/2.54 | | | | End of split
% 13.22/2.54 | | | |
% 13.22/2.54 | | | End of split
% 13.22/2.54 | | |
% 13.22/2.54 | | End of split
% 13.22/2.54 | |
% 13.22/2.54 | Case 2:
% 13.22/2.54 | |
% 13.22/2.54 | | (148) ? [v0: int] : ( ~ (v0 = 0) & genlmt(c_tptpgeo_spindlecollectormt,
% 13.22/2.54 | | c_tptpgeo_member2_mt) = v0)
% 13.22/2.54 | |
% 13.22/2.54 | | DELTA: instantiating (148) with fresh symbol all_74_0 gives:
% 13.22/2.54 | | (149) ~ (all_74_0 = 0) & genlmt(c_tptpgeo_spindlecollectormt,
% 13.22/2.54 | | c_tptpgeo_member2_mt) = all_74_0
% 13.22/2.54 | |
% 13.22/2.54 | | ALPHA: (149) implies:
% 13.22/2.54 | | (150) ~ (all_74_0 = 0)
% 13.22/2.54 | | (151) genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member2_mt) =
% 13.22/2.54 | | all_74_0
% 13.22/2.54 | |
% 13.22/2.54 | | GROUND_INST: instantiating (23) with 0, all_74_0, c_tptpgeo_member2_mt,
% 13.22/2.54 | | c_tptpgeo_spindlecollectormt, simplifying with (2), (151)
% 13.22/2.54 | | gives:
% 13.22/2.54 | | (152) all_74_0 = 0
% 13.22/2.54 | |
% 13.22/2.54 | | REDUCE: (150), (152) imply:
% 13.22/2.54 | | (153) $false
% 13.22/2.54 | |
% 13.22/2.54 | | CLOSE: (153) is inconsistent.
% 13.22/2.54 | |
% 13.22/2.54 | End of split
% 13.22/2.54 |
% 13.22/2.54 End of proof
% 13.22/2.54 % SZS output end Proof for theBenchmark
% 13.22/2.54
% 13.22/2.54 1927ms
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