TSTP Solution File: CSR037+1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR037+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 : n012.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 21:36:38 EDT 2023
% Result : Theorem 8.00s 1.82s
% Output : Proof 11.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR037+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n012.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 11:34:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.66 ________ _____
% 0.19/0.66 ___ __ \_________(_)________________________________
% 0.19/0.66 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.66 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.66 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.66
% 0.19/0.66 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.66 (2023-06-19)
% 0.19/0.66
% 0.19/0.66 (c) Philipp Rümmer, 2009-2023
% 0.19/0.66 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.66 Amanda Stjerna.
% 0.19/0.66 Free software under BSD-3-Clause.
% 0.19/0.66
% 0.19/0.66 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.66
% 0.19/0.66 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.67 Running up to 7 provers in parallel.
% 0.19/0.68 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.68 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.69 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.69 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.69 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.69 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.19/0.69 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 2.81/1.16 Prover 4: Preprocessing ...
% 2.81/1.16 Prover 1: Preprocessing ...
% 3.34/1.20 Prover 5: Preprocessing ...
% 3.34/1.20 Prover 2: Preprocessing ...
% 3.34/1.20 Prover 6: Preprocessing ...
% 3.34/1.20 Prover 0: Preprocessing ...
% 3.52/1.20 Prover 3: Preprocessing ...
% 5.79/1.55 Prover 5: Constructing countermodel ...
% 5.79/1.55 Prover 2: Constructing countermodel ...
% 7.16/1.72 Prover 3: Constructing countermodel ...
% 7.32/1.78 Prover 6: Constructing countermodel ...
% 8.00/1.82 Prover 5: proved (1137ms)
% 8.00/1.82
% 8.00/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.00/1.82
% 8.00/1.83 Prover 6: stopped
% 8.00/1.83 Prover 3: stopped
% 8.00/1.84 Prover 2: proved (1145ms)
% 8.00/1.84
% 8.00/1.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.00/1.84
% 8.00/1.84 Prover 1: Constructing countermodel ...
% 8.00/1.84 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 8.00/1.84 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 8.00/1.84 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 8.00/1.84 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 8.52/1.92 Prover 10: Preprocessing ...
% 8.52/1.93 Prover 7: Preprocessing ...
% 8.52/1.94 Prover 8: Preprocessing ...
% 8.52/1.94 Prover 4: Constructing countermodel ...
% 8.52/1.95 Prover 11: Preprocessing ...
% 9.14/1.99 Prover 0: Proving ...
% 9.14/2.01 Prover 0: stopped
% 9.14/2.02 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 9.14/2.07 Prover 13: Preprocessing ...
% 9.14/2.08 Prover 10: Constructing countermodel ...
% 9.14/2.11 Prover 7: Constructing countermodel ...
% 10.29/2.18 Prover 1: Found proof (size 31)
% 10.29/2.18 Prover 1: proved (1498ms)
% 10.29/2.18 Prover 10: stopped
% 10.29/2.18 Prover 7: stopped
% 10.29/2.18 Prover 4: stopped
% 10.29/2.18 Prover 13: Constructing countermodel ...
% 10.29/2.19 Prover 8: Warning: ignoring some quantifiers
% 10.29/2.19 Prover 13: stopped
% 10.29/2.20 Prover 8: Constructing countermodel ...
% 10.29/2.21 Prover 8: stopped
% 11.18/2.30 Prover 11: Constructing countermodel ...
% 11.18/2.32 Prover 11: stopped
% 11.18/2.32
% 11.18/2.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.18/2.32
% 11.18/2.32 % SZS output start Proof for theBenchmark
% 11.18/2.33 Assumptions after simplification:
% 11.18/2.33 ---------------------------------
% 11.18/2.33
% 11.18/2.33 (just12)
% 11.47/2.35 $i(c_georegion_l3_x15_y24) & $i(c_georegion_l2_x5_y8) &
% 11.47/2.35 $i(c_tptpgeo_member7_mt) & ? [v0: any] : ? [v1: any] :
% 11.47/2.35 (mtvisible(c_tptpgeo_member7_mt) = v0 &
% 11.47/2.35 geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l3_x15_y24) = v1 &
% 11.47/2.35 ( ~ (v0 = 0) | v1 = 0))
% 11.47/2.35
% 11.47/2.35 (just13)
% 11.49/2.36 $i(c_georegion_l4_x45_y72) & $i(c_georegion_l3_x15_y24) &
% 11.49/2.36 $i(c_tptpgeo_member7_mt) & ? [v0: any] : ? [v1: any] :
% 11.49/2.36 (mtvisible(c_tptpgeo_member7_mt) = v0 &
% 11.49/2.36 geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72) = v1
% 11.49/2.36 & ( ~ (v0 = 0) | v1 = 0))
% 11.49/2.36
% 11.49/2.36 (just34)
% 11.49/2.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~
% 11.49/2.36 (geographicalsubregions(v0, v2) = v3) | ~ (geographicalsubregions(v0, v1) =
% 11.49/2.36 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) &
% 11.49/2.36 geographicalsubregions(v1, v2) = v4))
% 11.49/2.36
% 11.49/2.36 (query37)
% 11.49/2.36 $i(c_georegion_l4_x45_y72) & $i(c_georegion_l2_x5_y8) &
% 11.49/2.36 $i(c_tptpgeo_member7_mt) & ? [v0: int] : ( ~ (v0 = 0) &
% 11.49/2.36 mtvisible(c_tptpgeo_member7_mt) = 0 &
% 11.49/2.36 geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72) = v0)
% 11.49/2.36
% 11.49/2.36 (function-axioms)
% 11.49/2.37 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 11.49/2.37 [v3: $i] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2)
% 11.49/2.37 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.49/2.37 $i] : ! [v3: $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~
% 11.49/2.37 (genlpreds(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.49/2.37 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.49/2.37 (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = v0)) & ! [v0:
% 11.49/2.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 11.49/2.37 : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = v0)) & ! [v0:
% 11.49/2.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 11.49/2.37 : (v1 = v0 | ~ (geographicalsubregions(v3, v2) = v1) | ~
% 11.49/2.37 (geographicalsubregions(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 11.49/2.37 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (genls(v3,
% 11.49/2.37 v2) = v1) | ~ (genls(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 11.49/2.37 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 11.49/2.37 (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0:
% 11.49/2.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.49/2.37 ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0:
% 11.49/2.37 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 11.49/2.37 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : !
% 11.49/2.37 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (geographicalregion(v2)
% 11.49/2.37 = v1) | ~ (geographicalregion(v2) = v0)) & ! [v0: MultipleValueBool] :
% 11.49/2.37 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1)
% 11.49/2.37 | ~ (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.49/2.37 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1)
% 11.49/2.37 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.49/2.37 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~
% 11.49/2.37 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.49/2.37 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~
% 11.49/2.37 (mtvisible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.49/2.37 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 11.49/2.37 (physicalorderingpredicate(v2) = v1) | ~ (physicalorderingpredicate(v2) =
% 11.49/2.37 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 11.49/2.37 $i] : (v1 = v0 | ~ (transitivebinarypredicate(v2) = v1) | ~
% 11.49/2.37 (transitivebinarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 11.49/2.37 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (orderingpredicate(v2) =
% 11.49/2.37 v1) | ~ (orderingpredicate(v2) = v0))
% 11.49/2.37
% 11.49/2.37 Further assumptions not needed in the proof:
% 11.49/2.37 --------------------------------------------
% 11.49/2.37 just1, just10, just11, just14, just15, just16, just17, just18, just19, just2,
% 11.49/2.37 just20, just21, just22, just23, just24, just25, just26, just27, just28, just29,
% 11.49/2.37 just3, just30, just31, just32, just33, just35, just36, just37, just38, just39,
% 11.49/2.37 just4, just40, just41, just42, just43, just44, just45, just46, just47, just48,
% 11.49/2.37 just49, just5, just50, just51, just52, just53, just54, just55, just56, just57,
% 11.49/2.37 just58, just59, just6, just60, just61, just62, just63, just64, just65, just7,
% 11.49/2.37 just8, just9
% 11.49/2.37
% 11.49/2.37 Those formulas are unsatisfiable:
% 11.49/2.37 ---------------------------------
% 11.49/2.37
% 11.49/2.37 Begin of proof
% 11.49/2.37 |
% 11.49/2.37 | ALPHA: (just12) implies:
% 11.49/2.37 | (1) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member7_mt) = v0 &
% 11.49/2.37 | geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l3_x15_y24)
% 11.49/2.37 | = v1 & ( ~ (v0 = 0) | v1 = 0))
% 11.49/2.37 |
% 11.49/2.37 | ALPHA: (just13) implies:
% 11.49/2.37 | (2) $i(c_georegion_l3_x15_y24)
% 11.49/2.37 | (3) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member7_mt) = v0 &
% 11.49/2.37 | geographicalsubregions(c_georegion_l3_x15_y24,
% 11.49/2.37 | c_georegion_l4_x45_y72) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 11.49/2.37 |
% 11.49/2.37 | ALPHA: (query37) implies:
% 11.49/2.38 | (4) $i(c_georegion_l2_x5_y8)
% 11.49/2.38 | (5) $i(c_georegion_l4_x45_y72)
% 11.49/2.38 | (6) ? [v0: int] : ( ~ (v0 = 0) & mtvisible(c_tptpgeo_member7_mt) = 0 &
% 11.49/2.38 | geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72)
% 11.49/2.38 | = v0)
% 11.49/2.38 |
% 11.49/2.38 | ALPHA: (function-axioms) implies:
% 11.49/2.38 | (7) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 11.49/2.38 | (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 11.49/2.38 | (8) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 11.49/2.38 | ! [v3: $i] : (v1 = v0 | ~ (geographicalsubregions(v3, v2) = v1) | ~
% 11.49/2.38 | (geographicalsubregions(v3, v2) = v0))
% 11.49/2.38 |
% 11.49/2.38 | DELTA: instantiating (6) with fresh symbol all_56_0 gives:
% 11.49/2.38 | (9) ~ (all_56_0 = 0) & mtvisible(c_tptpgeo_member7_mt) = 0 &
% 11.49/2.38 | geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72) =
% 11.49/2.38 | all_56_0
% 11.49/2.38 |
% 11.49/2.38 | ALPHA: (9) implies:
% 11.49/2.38 | (10) ~ (all_56_0 = 0)
% 11.49/2.38 | (11) geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l4_x45_y72) =
% 11.49/2.38 | all_56_0
% 11.49/2.38 | (12) mtvisible(c_tptpgeo_member7_mt) = 0
% 11.49/2.38 |
% 11.49/2.38 | DELTA: instantiating (1) with fresh symbols all_58_0, all_58_1 gives:
% 11.49/2.38 | (13) mtvisible(c_tptpgeo_member7_mt) = all_58_1 &
% 11.49/2.38 | geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l3_x15_y24) =
% 11.49/2.38 | all_58_0 & ( ~ (all_58_1 = 0) | all_58_0 = 0)
% 11.49/2.38 |
% 11.49/2.38 | ALPHA: (13) implies:
% 11.49/2.38 | (14) geographicalsubregions(c_georegion_l2_x5_y8, c_georegion_l3_x15_y24) =
% 11.49/2.38 | all_58_0
% 11.49/2.38 | (15) mtvisible(c_tptpgeo_member7_mt) = all_58_1
% 11.49/2.38 | (16) ~ (all_58_1 = 0) | all_58_0 = 0
% 11.49/2.38 |
% 11.49/2.38 | DELTA: instantiating (3) with fresh symbols all_60_0, all_60_1 gives:
% 11.49/2.38 | (17) mtvisible(c_tptpgeo_member7_mt) = all_60_1 &
% 11.49/2.38 | geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72)
% 11.49/2.38 | = all_60_0 & ( ~ (all_60_1 = 0) | all_60_0 = 0)
% 11.49/2.38 |
% 11.49/2.38 | ALPHA: (17) implies:
% 11.49/2.38 | (18) geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72)
% 11.49/2.38 | = all_60_0
% 11.49/2.38 | (19) mtvisible(c_tptpgeo_member7_mt) = all_60_1
% 11.49/2.38 | (20) ~ (all_60_1 = 0) | all_60_0 = 0
% 11.49/2.38 |
% 11.49/2.38 | GROUND_INST: instantiating (7) with all_58_1, all_60_1, c_tptpgeo_member7_mt,
% 11.49/2.38 | simplifying with (15), (19) gives:
% 11.49/2.38 | (21) all_60_1 = all_58_1
% 11.49/2.38 |
% 11.49/2.38 | GROUND_INST: instantiating (7) with 0, all_60_1, c_tptpgeo_member7_mt,
% 11.49/2.38 | simplifying with (12), (19) gives:
% 11.49/2.38 | (22) all_60_1 = 0
% 11.49/2.38 |
% 11.49/2.38 | COMBINE_EQS: (21), (22) imply:
% 11.49/2.38 | (23) all_58_1 = 0
% 11.49/2.38 |
% 11.49/2.38 | SIMP: (23) implies:
% 11.49/2.38 | (24) all_58_1 = 0
% 11.49/2.38 |
% 11.49/2.38 | BETA: splitting (20) gives:
% 11.49/2.38 |
% 11.49/2.38 | Case 1:
% 11.49/2.38 | |
% 11.49/2.38 | | (25) ~ (all_60_1 = 0)
% 11.49/2.38 | |
% 11.49/2.38 | | REDUCE: (22), (25) imply:
% 11.49/2.38 | | (26) $false
% 11.49/2.38 | |
% 11.49/2.38 | | CLOSE: (26) is inconsistent.
% 11.49/2.38 | |
% 11.49/2.38 | Case 2:
% 11.49/2.38 | |
% 11.49/2.38 | | (27) all_60_0 = 0
% 11.49/2.38 | |
% 11.49/2.38 | | REDUCE: (18), (27) imply:
% 11.49/2.39 | | (28) geographicalsubregions(c_georegion_l3_x15_y24,
% 11.49/2.39 | | c_georegion_l4_x45_y72) = 0
% 11.49/2.39 | |
% 11.49/2.39 | | BETA: splitting (16) gives:
% 11.49/2.39 | |
% 11.49/2.39 | | Case 1:
% 11.49/2.39 | | |
% 11.49/2.39 | | | (29) ~ (all_58_1 = 0)
% 11.49/2.39 | | |
% 11.49/2.39 | | | REDUCE: (24), (29) imply:
% 11.49/2.39 | | | (30) $false
% 11.49/2.39 | | |
% 11.49/2.39 | | | CLOSE: (30) is inconsistent.
% 11.49/2.39 | | |
% 11.49/2.39 | | Case 2:
% 11.49/2.39 | | |
% 11.49/2.39 | | | (31) all_58_0 = 0
% 11.49/2.39 | | |
% 11.49/2.39 | | | REDUCE: (14), (31) imply:
% 11.49/2.39 | | | (32) geographicalsubregions(c_georegion_l2_x5_y8,
% 11.49/2.39 | | | c_georegion_l3_x15_y24) = 0
% 11.49/2.39 | | |
% 11.49/2.39 | | | GROUND_INST: instantiating (just34) with c_georegion_l2_x5_y8,
% 11.49/2.39 | | | c_georegion_l3_x15_y24, c_georegion_l4_x45_y72, all_56_0,
% 11.49/2.39 | | | simplifying with (2), (4), (5), (11), (32) gives:
% 11.49/2.39 | | | (33) all_56_0 = 0 | ? [v0: int] : ( ~ (v0 = 0) &
% 11.49/2.39 | | | geographicalsubregions(c_georegion_l3_x15_y24,
% 11.49/2.39 | | | c_georegion_l4_x45_y72) = v0)
% 11.49/2.39 | | |
% 11.49/2.39 | | | BETA: splitting (33) gives:
% 11.49/2.39 | | |
% 11.49/2.39 | | | Case 1:
% 11.49/2.39 | | | |
% 11.49/2.39 | | | | (34) all_56_0 = 0
% 11.49/2.39 | | | |
% 11.49/2.39 | | | | REDUCE: (10), (34) imply:
% 11.49/2.39 | | | | (35) $false
% 11.49/2.39 | | | |
% 11.49/2.39 | | | | CLOSE: (35) is inconsistent.
% 11.49/2.39 | | | |
% 11.49/2.39 | | | Case 2:
% 11.49/2.39 | | | |
% 11.49/2.39 | | | | (36) ? [v0: int] : ( ~ (v0 = 0) &
% 11.49/2.39 | | | | geographicalsubregions(c_georegion_l3_x15_y24,
% 11.49/2.39 | | | | c_georegion_l4_x45_y72) = v0)
% 11.49/2.39 | | | |
% 11.49/2.39 | | | | DELTA: instantiating (36) with fresh symbol all_84_0 gives:
% 11.49/2.39 | | | | (37) ~ (all_84_0 = 0) &
% 11.49/2.39 | | | | geographicalsubregions(c_georegion_l3_x15_y24,
% 11.49/2.39 | | | | c_georegion_l4_x45_y72) = all_84_0
% 11.49/2.39 | | | |
% 11.49/2.39 | | | | ALPHA: (37) implies:
% 11.49/2.39 | | | | (38) ~ (all_84_0 = 0)
% 11.49/2.39 | | | | (39) geographicalsubregions(c_georegion_l3_x15_y24,
% 11.49/2.39 | | | | c_georegion_l4_x45_y72) = all_84_0
% 11.49/2.39 | | | |
% 11.49/2.39 | | | | GROUND_INST: instantiating (8) with 0, all_84_0, c_georegion_l4_x45_y72,
% 11.49/2.39 | | | | c_georegion_l3_x15_y24, simplifying with (28), (39) gives:
% 11.49/2.39 | | | | (40) all_84_0 = 0
% 11.49/2.39 | | | |
% 11.49/2.39 | | | | REDUCE: (38), (40) imply:
% 11.49/2.39 | | | | (41) $false
% 11.49/2.39 | | | |
% 11.49/2.39 | | | | CLOSE: (41) is inconsistent.
% 11.49/2.39 | | | |
% 11.49/2.39 | | | End of split
% 11.49/2.39 | | |
% 11.49/2.39 | | End of split
% 11.49/2.39 | |
% 11.49/2.39 | End of split
% 11.49/2.39 |
% 11.49/2.39 End of proof
% 11.49/2.39 % SZS output end Proof for theBenchmark
% 11.49/2.39
% 11.49/2.39 1730ms
%------------------------------------------------------------------------------