%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR057+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 : n006.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 21:36:57 EDT 2023 % Result : Theorem 12.16s 2.44s % Output : Proof 16.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR057+1 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n006.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Mon Aug 28 11:08:36 EDT 2023 % 0.14/0.35 % 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/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.63 Running up to 7 provers in parallel. % 0.20/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.13/1.19 Prover 4: Preprocessing ... % 3.13/1.19 Prover 1: Preprocessing ... % 3.68/1.25 Prover 3: Preprocessing ... % 3.68/1.25 Prover 2: Preprocessing ... % 3.68/1.25 Prover 6: Preprocessing ... % 3.68/1.25 Prover 5: Preprocessing ... % 3.68/1.25 Prover 0: Preprocessing ... % 6.60/1.63 Prover 2: Constructing countermodel ... % 7.08/1.68 Prover 5: Proving ... % 8.22/1.83 Prover 3: Warning: ignoring some quantifiers % 8.22/1.87 Prover 3: Constructing countermodel ... % 8.22/1.87 Prover 6: Proving ... % 8.69/1.93 Prover 1: Warning: ignoring some quantifiers % 9.25/1.97 Prover 1: Constructing countermodel ... % 9.25/2.10 Prover 0: Proving ... % 10.56/2.16 Prover 4: Constructing countermodel ... % 10.81/2.19 Prover 3: gave up % 10.81/2.19 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 11.28/2.28 Prover 7: Preprocessing ... % 12.16/2.39 Prover 7: Constructing countermodel ... % 12.16/2.40 Prover 1: gave up % 12.16/2.41 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.16/2.44 Prover 2: proved (1804ms) % 12.16/2.44 % 12.16/2.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.16/2.44 % 12.16/2.44 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.16/2.45 Prover 5: stopped % 12.16/2.45 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.16/2.45 Prover 6: stopped % 12.16/2.45 Prover 0: stopped % 12.84/2.46 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.84/2.47 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 13.08/2.51 Prover 8: Preprocessing ... % 13.51/2.59 Prover 11: Preprocessing ... % 13.51/2.60 Prover 16: Preprocessing ... % 13.51/2.60 Prover 10: Preprocessing ... % 13.51/2.61 Prover 13: Preprocessing ... % 13.51/2.71 Prover 13: Constructing countermodel ... % 14.44/2.73 Prover 16: Constructing countermodel ... % 14.44/2.73 Prover 10: Constructing countermodel ... % 15.23/2.81 Prover 8: Warning: ignoring some quantifiers % 15.23/2.83 Prover 4: Found proof (size 65) % 15.23/2.83 Prover 4: proved (2189ms) % 15.23/2.83 Prover 10: stopped % 15.23/2.83 Prover 13: stopped % 15.23/2.83 Prover 16: stopped % 15.23/2.83 Prover 7: stopped % 15.23/2.84 Prover 8: Constructing countermodel ... % 15.23/2.85 Prover 8: stopped % 15.23/2.85 Prover 11: Constructing countermodel ... % 15.80/2.87 Prover 11: stopped % 15.80/2.87 % 15.80/2.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 15.80/2.87 % 15.88/2.89 % SZS output start Proof for theBenchmark % 15.88/2.89 Assumptions after simplification: % 15.88/2.89 --------------------------------- % 15.88/2.89 % 15.88/2.89 (just1) % 16.04/2.92 genlmt(c_geographymt, c_basekb) = 0 & $i(c_basekb) & $i(c_geographymt) % 16.04/2.92 % 16.04/2.92 (just10) % 16.04/2.92 $i(c_georegion_l4_x75_y75) & $i(c_worldgeographymt) & ? [v0: any] : ? [v1: % 16.04/2.92 any] : (mtvisible(c_worldgeographymt) = v0 & % 16.04/2.92 geolevel_4(c_georegion_l4_x75_y75) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 16.04/2.92 % 16.04/2.92 (just11) % 16.04/2.92 genls(c_geolevel_4, c_geographicalregion) = 0 & $i(c_geographicalregion) & % 16.04/2.92 $i(c_geolevel_4) % 16.04/2.92 % 16.04/2.92 (just13) % 16.04/2.92 genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt) = 0 & % 16.04/2.92 $i(c_tptpgeo_member8_mt) & $i(c_tptpgeo_spindleheadmt) % 16.04/2.92 % 16.04/2.92 (just14) % 16.04/2.92 genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = 0 & % 16.04/2.92 $i(c_tptpgeo_spindleheadmt) & $i(c_worldgeographymt) % 16.04/2.92 % 16.04/2.92 (just16) % 16.04/2.92 genls(c_enduringthing_localized, c_spatialthing_nonsituational) = 0 & % 16.04/2.92 $i(c_spatialthing_nonsituational) & $i(c_enduringthing_localized) % 16.04/2.92 % 16.04/2.92 (just18) % 16.04/2.92 genls(c_partiallytangible, c_enduringthing_localized) = 0 & % 16.04/2.92 $i(c_partiallytangible) & $i(c_enduringthing_localized) % 16.04/2.92 % 16.04/2.92 (just2) % 16.04/2.92 genlmt(c_worldgeographymt, c_geographymt) = 0 & $i(c_worldgeographymt) & % 16.04/2.92 $i(c_geographymt) % 16.04/2.92 % 16.04/2.92 (just21) % 16.04/2.92 genlmt(c_worldgeographymt, c_geographymt) = 0 & $i(c_worldgeographymt) & % 16.04/2.92 $i(c_geographymt) % 16.04/2.92 % 16.04/2.92 (just22) % 16.04/2.92 genls(c_geographicalregion, c_partiallytangible) = 0 & $i(c_partiallytangible) % 16.04/2.92 & $i(c_geographicalregion) % 16.04/2.92 % 16.04/2.92 (just24) % 16.04/2.92 genlmt(c_geographymt, c_basekb) = 0 & $i(c_basekb) & $i(c_geographymt) % 16.04/2.92 % 16.04/2.93 (just27) % 16.04/2.93 $i(c_georegion_l4_x75_y75) & $i(c_worldgeographymt) & ? [v0: any] : ? [v1: % 16.04/2.93 any] : (mtvisible(c_worldgeographymt) = v0 & % 16.04/2.93 geolevel_4(c_georegion_l4_x75_y75) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 16.04/2.93 % 16.04/2.93 (just28) % 16.04/2.93 genls(c_geolevel_4, c_geographicalregion) = 0 & $i(c_geographicalregion) & % 16.04/2.93 $i(c_geolevel_4) % 16.04/2.93 % 16.04/2.93 (just30) % 16.04/2.93 genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt) = 0 & % 16.04/2.93 $i(c_tptpgeo_member8_mt) & $i(c_tptpgeo_spindleheadmt) % 16.04/2.93 % 16.11/2.93 (just31) % 16.11/2.93 genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = 0 & % 16.11/2.93 $i(c_tptpgeo_spindleheadmt) & $i(c_worldgeographymt) % 16.11/2.93 % 16.11/2.93 (just33) % 16.11/2.93 genls(c_enduringthing_localized, c_spatialthing_nonsituational) = 0 & % 16.11/2.93 $i(c_spatialthing_nonsituational) & $i(c_enduringthing_localized) % 16.11/2.93 % 16.11/2.93 (just35) % 16.11/2.93 genls(c_partiallytangible, c_enduringthing_localized) = 0 & % 16.11/2.93 $i(c_partiallytangible) & $i(c_enduringthing_localized) % 16.11/2.93 % 16.11/2.93 (just38) % 16.11/2.93 genlmt(c_worldgeographymt, c_geographymt) = 0 & $i(c_worldgeographymt) & % 16.11/2.93 $i(c_geographymt) % 16.11/2.93 % 16.11/2.93 (just39) % 16.11/2.93 genls(c_geographicalregion, c_partiallytangible) = 0 & $i(c_partiallytangible) % 16.11/2.93 & $i(c_geographicalregion) % 16.11/2.93 % 16.11/2.93 (just41) % 16.11/2.93 genlmt(c_geographymt, c_basekb) = 0 & $i(c_basekb) & $i(c_geographymt) % 16.11/2.93 % 16.11/2.93 (just45) % 16.11/2.93 $i(c_partiallytangible) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 16.11/2.93 c_partiallytangible) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 16.11/2.93 partiallytangible(v0) = v2)) & ! [v0: $i] : ( ~ (partiallytangible(v0) = % 16.11/2.93 0) | ~ $i(v0) | isa(v0, c_partiallytangible) = 0) % 16.11/2.93 % 16.11/2.93 (just46) % 16.11/2.93 $i(c_spatialthing_nonsituational) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 16.11/2.93 (spatialthing_nonsituational(v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 % 16.11/2.94 = 0) & isa(v0, c_spatialthing_nonsituational) = v2)) & ! [v0: $i] : ( ~ % 16.11/2.94 (isa(v0, c_spatialthing_nonsituational) = 0) | ~ $i(v0) | % 16.11/2.94 spatialthing_nonsituational(v0) = 0) % 16.11/2.94 % 16.11/2.94 (just47) % 16.11/2.94 $i(c_spatialthing_nonsituational) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 16.11/2.94 (isa(v0, c_spatialthing_nonsituational) = v1) | ~ $i(v0) | ? [v2: int] : ( % 16.11/2.94 ~ (v2 = 0) & spatialthing_nonsituational(v0) = v2)) & ! [v0: $i] : ( ~ % 16.11/2.94 (spatialthing_nonsituational(v0) = 0) | ~ $i(v0) | isa(v0, % 16.11/2.94 c_spatialthing_nonsituational) = 0) % 16.11/2.94 % 16.11/2.94 (just49) % 16.11/2.94 $i(c_enduringthing_localized) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 16.11/2.94 (isa(v0, c_enduringthing_localized) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ % 16.11/2.94 (v2 = 0) & enduringthing_localized(v0) = v2)) & ! [v0: $i] : ( ~ % 16.11/2.94 (enduringthing_localized(v0) = 0) | ~ $i(v0) | isa(v0, % 16.11/2.94 c_enduringthing_localized) = 0) % 16.11/2.94 % 16.11/2.94 (just51) % 16.11/2.94 $i(c_geographicalregion) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 16.11/2.94 c_geographicalregion) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 16.11/2.94 geographicalregion(v0) = v2)) & ! [v0: $i] : ( ~ (geographicalregion(v0) % 16.11/2.94 = 0) | ~ $i(v0) | isa(v0, c_geographicalregion) = 0) % 16.11/2.94 % 16.11/2.94 (just59) % 16.11/2.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 16.11/2.94 (genls(v2, v1) = v3) | ~ (genls(v2, v0) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 16.11/2.94 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & genls(v0, v1) = v4)) & ! [v0: $i] : % 16.11/2.94 ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (genls(v2, v1) = v3) | % 16.11/2.94 ~ (genls(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( % 16.11/2.94 ~ (v4 = 0) & genls(v2, v0) = v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 16.11/2.94 $i] : ( ~ (genls(v2, v0) = 0) | ~ (genls(v0, v1) = 0) | ~ $i(v2) | ~ % 16.11/2.94 $i(v1) | ~ $i(v0) | genls(v2, v1) = 0) % 16.11/2.94 % 16.11/2.94 (just6) % 16.11/2.94 genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = 0 & % 16.11/2.94 $i(c_tptpgeo_spindleheadmt) & $i(c_worldgeographymt) % 16.11/2.94 % 16.11/2.94 (just62) % 16.11/2.94 $i(c_geolevel_4) & ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (isa(v0, % 16.11/2.94 c_geolevel_4) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & % 16.11/2.94 geolevel_4(v0) = v2)) & ! [v0: $i] : ( ~ (geolevel_4(v0) = 0) | ~ $i(v0) % 16.11/2.94 | isa(v0, c_geolevel_4) = 0) % 16.11/2.94 % 16.11/2.94 (just7) % 16.11/2.95 genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt) = 0 & % 16.11/2.95 $i(c_tptpgeo_member8_mt) & $i(c_tptpgeo_spindleheadmt) % 16.11/2.95 % 16.11/2.95 (just84) % 16.11/2.95 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (inregion(v0, v0) = v1) | ~ $i(v0) % 16.11/2.95 | ? [v2: int] : ( ~ (v2 = 0) & spatialthing_nonsituational(v0) = v2)) & ! % 16.11/2.95 [v0: $i] : ( ~ (spatialthing_nonsituational(v0) = 0) | ~ $i(v0) | % 16.11/2.95 inregion(v0, v0) = 0) % 16.11/2.95 % 16.11/2.95 (just91) % 16.11/2.95 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 16.11/2.95 (genls(v1, v2) = 0) | ~ (isa(v0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 16.11/2.95 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & isa(v0, v1) = v4)) & ! [v0: $i] : ! % 16.11/2.95 [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ (isa(v0, v2) = v3) | ~ % 16.11/2.95 (isa(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ % 16.11/2.95 (v4 = 0) & genls(v1, v2) = v4)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 16.11/2.95 : ( ~ (genls(v1, v2) = 0) | ~ (isa(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 16.11/2.95 $i(v0) | isa(v0, v2) = 0) % 16.11/2.95 % 16.11/2.95 (just93) % 16.11/2.95 ! [v0: $i] : ! [v1: $i] : ( ~ (genlmt(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | % 16.11/2.95 ? [v2: any] : ? [v3: any] : (mtvisible(v1) = v3 & mtvisible(v0) = v2 & ( ~ % 16.11/2.95 (v2 = 0) | v3 = 0))) % 16.11/2.95 % 16.11/2.95 (query57) % 16.11/2.95 mtvisible(c_tptpgeo_member8_mt) = 0 & $i(c_georegion_l4_x75_y75) & % 16.11/2.95 $i(c_tptpgeo_member8_mt) & ! [v0: $i] : ( ~ (inregion(v0, % 16.11/2.95 c_georegion_l4_x75_y75) = 0) | ~ $i(v0)) % 16.11/2.95 % 16.11/2.95 (function-axioms) % 16.11/2.96 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 16.11/2.96 [v3: $i] : (v1 = v0 | ~ (inregion(v3, v2) = v1) | ~ (inregion(v3, v2) = v0)) % 16.11/2.96 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 16.11/2.96 [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & ! % 16.11/2.96 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 16.11/2.96 $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~ (disjointwith(v3, v2) = % 16.11/2.96 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 16.11/2.96 $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2) = v1) | ~ (isa(v3, v2) = % 16.11/2.96 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 16.11/2.96 $i] : ! [v3: $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ % 16.11/2.96 (genlpreds(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 16.11/2.96 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 16.11/2.96 (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2) = v0)) & ! [v0: % 16.11/2.96 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 16.11/2.96 : (v1 = v0 | ~ (genlmt(v3, v2) = v1) | ~ (genlmt(v3, v2) = v0)) & ! [v0: % 16.11/2.96 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 16.11/2.96 ~ (microtheory(v2) = v1) | ~ (microtheory(v2) = v0)) & ! [v0: % 16.11/2.96 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 16.11/2.96 ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 16.11/2.96 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = % 16.11/2.96 v1) | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 16.11/2.96 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | % 16.11/2.96 ~ (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 16.11/2.96 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1) | ~ % 16.11/2.96 (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 16.11/2.96 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (partiallytangible(v2) = % 16.11/2.96 v1) | ~ (partiallytangible(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 16.11/2.96 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 16.11/2.96 (spatialthing_nonsituational(v2) = v1) | ~ (spatialthing_nonsituational(v2) % 16.11/2.96 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 16.11/2.96 $i] : (v1 = v0 | ~ (enduringthing_localized(v2) = v1) | ~ % 16.11/2.96 (enduringthing_localized(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 16.11/2.96 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (geographicalregion(v2) = % 16.11/2.96 v1) | ~ (geographicalregion(v2) = v0)) & ! [v0: MultipleValueBool] : ! % 16.11/2.96 [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | % 16.11/2.96 ~ (mtvisible(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 16.11/2.96 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (geolevel_4(v2) = v1) | ~ % 16.11/2.96 (geolevel_4(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 16.11/2.96 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ % 16.11/2.96 (reflexivebinarypredicate(v2) = v1) | ~ (reflexivebinarypredicate(v2) = % 16.11/2.96 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 16.11/2.96 $i] : (v1 = v0 | ~ (transitivebinarypredicate(v2) = v1) | ~ % 16.11/2.96 (transitivebinarypredicate(v2) = v0)) % 16.11/2.96 % 16.11/2.96 Further assumptions not needed in the proof: % 16.11/2.96 -------------------------------------------- % 16.11/2.96 just100, just101, just12, just15, just17, just19, just20, just23, just25, % 16.11/2.96 just26, just29, just3, just32, just34, just36, just37, just4, just40, just42, % 16.11/2.96 just43, just44, just48, just5, just50, just52, just53, just54, just55, just56, % 16.11/2.96 just57, just58, just60, just61, just63, just64, just65, just66, just67, just68, % 16.11/2.96 just69, just70, just71, just72, just73, just74, just75, just76, just77, just78, % 16.11/2.96 just79, just8, just80, just81, just82, just83, just85, just86, just87, just88, % 16.11/2.96 just89, just9, just90, just92, just94, just95, just96, just97, just98, just99 % 16.11/2.96 % 16.11/2.96 Those formulas are unsatisfiable: % 16.11/2.96 --------------------------------- % 16.11/2.96 % 16.11/2.96 Begin of proof % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just27) implies: % 16.11/2.96 | (1) ? [v0: any] : ? [v1: any] : (mtvisible(c_worldgeographymt) = v0 & % 16.11/2.96 | geolevel_4(c_georegion_l4_x75_y75) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just28) implies: % 16.11/2.96 | (2) genls(c_geolevel_4, c_geographicalregion) = 0 % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just7) implies: % 16.11/2.96 | (3) genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt) = 0 % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just6) implies: % 16.11/2.96 | (4) $i(c_tptpgeo_spindleheadmt) % 16.11/2.96 | (5) genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt) = 0 % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just33) implies: % 16.11/2.96 | (6) genls(c_enduringthing_localized, c_spatialthing_nonsituational) = 0 % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just35) implies: % 16.11/2.96 | (7) genls(c_partiallytangible, c_enduringthing_localized) = 0 % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just38) implies: % 16.11/2.96 | (8) $i(c_worldgeographymt) % 16.11/2.96 | (9) genlmt(c_worldgeographymt, c_geographymt) = 0 % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just39) implies: % 16.11/2.96 | (10) genls(c_geographicalregion, c_partiallytangible) = 0 % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just41) implies: % 16.11/2.96 | (11) $i(c_geographymt) % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just45) implies: % 16.11/2.96 | (12) $i(c_partiallytangible) % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just46) implies: % 16.11/2.96 | (13) ! [v0: $i] : ( ~ (isa(v0, c_spatialthing_nonsituational) = 0) | ~ % 16.11/2.96 | $i(v0) | spatialthing_nonsituational(v0) = 0) % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just47) implies: % 16.11/2.96 | (14) $i(c_spatialthing_nonsituational) % 16.11/2.96 | % 16.11/2.96 | ALPHA: (just49) implies: % 16.11/2.97 | (15) $i(c_enduringthing_localized) % 16.11/2.97 | % 16.11/2.97 | ALPHA: (just51) implies: % 16.11/2.97 | (16) $i(c_geographicalregion) % 16.11/2.97 | % 16.11/2.97 | ALPHA: (just59) implies: % 16.11/2.97 | (17) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (genls(v2, v0) = 0) | ~ % 16.11/2.97 | (genls(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | genls(v2, % 16.11/2.97 | v1) = 0) % 16.11/2.97 | % 16.11/2.97 | ALPHA: (just62) implies: % 16.11/2.97 | (18) $i(c_geolevel_4) % 16.11/2.97 | (19) ! [v0: $i] : ( ~ (geolevel_4(v0) = 0) | ~ $i(v0) | isa(v0, % 16.11/2.97 | c_geolevel_4) = 0) % 16.11/2.97 | % 16.11/2.97 | ALPHA: (just84) implies: % 16.11/2.97 | (20) ! [v0: $i] : ( ~ (spatialthing_nonsituational(v0) = 0) | ~ $i(v0) | % 16.11/2.97 | inregion(v0, v0) = 0) % 16.11/2.97 | % 16.11/2.97 | ALPHA: (just91) implies: % 16.11/2.97 | (21) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (genls(v1, v2) = 0) | ~ % 16.11/2.97 | (isa(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | isa(v0, v2) % 16.11/2.97 | = 0) % 16.11/2.97 | % 16.11/2.97 | ALPHA: (query57) implies: % 16.11/2.97 | (22) $i(c_tptpgeo_member8_mt) % 16.11/2.97 | (23) $i(c_georegion_l4_x75_y75) % 16.11/2.97 | (24) mtvisible(c_tptpgeo_member8_mt) = 0 % 16.11/2.97 | (25) ! [v0: $i] : ( ~ (inregion(v0, c_georegion_l4_x75_y75) = 0) | ~ % 16.11/2.97 | $i(v0)) % 16.11/2.97 | % 16.11/2.97 | ALPHA: (function-axioms) implies: % 16.11/2.97 | (26) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 16.11/2.97 | : (v1 = v0 | ~ (geolevel_4(v2) = v1) | ~ (geolevel_4(v2) = v0)) % 16.11/2.97 | (27) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 16.11/2.97 | : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0)) % 16.11/2.97 | % 16.11/2.97 | DELTA: instantiating (1) with fresh symbols all_75_0, all_75_1 gives: % 16.11/2.97 | (28) mtvisible(c_worldgeographymt) = all_75_1 & % 16.11/2.97 | geolevel_4(c_georegion_l4_x75_y75) = all_75_0 & ( ~ (all_75_1 = 0) | % 16.11/2.97 | all_75_0 = 0) % 16.11/2.97 | % 16.11/2.97 | ALPHA: (28) implies: % 16.11/2.97 | (29) geolevel_4(c_georegion_l4_x75_y75) = all_75_0 % 16.11/2.97 | (30) mtvisible(c_worldgeographymt) = all_75_1 % 16.11/2.97 | (31) ~ (all_75_1 = 0) | all_75_0 = 0 % 16.11/2.97 | % 16.11/2.97 | DELTA: instantiating (1) with fresh symbols all_77_0, all_77_1 gives: % 16.11/2.97 | (32) mtvisible(c_worldgeographymt) = all_77_1 & % 16.11/2.97 | geolevel_4(c_georegion_l4_x75_y75) = all_77_0 & ( ~ (all_77_1 = 0) | % 16.11/2.97 | all_77_0 = 0) % 16.11/2.97 | % 16.11/2.97 | ALPHA: (32) implies: % 16.11/2.97 | (33) geolevel_4(c_georegion_l4_x75_y75) = all_77_0 % 16.11/2.97 | (34) mtvisible(c_worldgeographymt) = all_77_1 % 16.11/2.97 | % 16.11/2.97 | GROUND_INST: instantiating (26) with all_75_0, all_77_0, % 16.11/2.97 | c_georegion_l4_x75_y75, simplifying with (29), (33) gives: % 16.11/2.97 | (35) all_77_0 = all_75_0 % 16.11/2.97 | % 16.11/2.97 | GROUND_INST: instantiating (27) with all_75_1, all_77_1, c_worldgeographymt, % 16.11/2.97 | simplifying with (30), (34) gives: % 16.11/2.97 | (36) all_77_1 = all_75_1 % 16.11/2.97 | % 16.11/2.97 | GROUND_INST: instantiating (just93) with c_worldgeographymt, c_geographymt, % 16.11/2.97 | simplifying with (8), (9), (11) gives: % 16.11/2.97 | (37) ? [v0: any] : ? [v1: any] : (mtvisible(c_worldgeographymt) = v0 & % 16.11/2.97 | mtvisible(c_geographymt) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 16.11/2.97 | % 16.11/2.97 | GROUND_INST: instantiating (just93) with c_tptpgeo_spindleheadmt, % 16.11/2.97 | c_worldgeographymt, simplifying with (4), (5), (8) gives: % 16.11/2.98 | (38) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_spindleheadmt) = v0 % 16.11/2.98 | & mtvisible(c_worldgeographymt) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 16.11/2.98 | % 16.11/2.98 | GROUND_INST: instantiating (just93) with c_tptpgeo_member8_mt, % 16.11/2.98 | c_tptpgeo_spindleheadmt, simplifying with (3), (4), (22) gives: % 16.11/2.98 | (39) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member8_mt) = v0 & % 16.11/2.98 | mtvisible(c_tptpgeo_spindleheadmt) = v1 & ( ~ (v0 = 0) | v1 = 0)) % 16.11/2.98 | % 16.11/2.98 | GROUND_INST: instantiating (17) with c_geographicalregion, % 16.11/2.98 | c_partiallytangible, c_geolevel_4, simplifying with (2), (10), % 16.11/2.98 | (12), (16), (18) gives: % 16.11/2.98 | (40) genls(c_geolevel_4, c_partiallytangible) = 0 % 16.11/2.98 | % 16.11/2.98 | GROUND_INST: instantiating (17) with c_enduringthing_localized, % 16.11/2.98 | c_spatialthing_nonsituational, c_partiallytangible, simplifying % 16.11/2.98 | with (6), (7), (12), (14), (15) gives: % 16.11/2.98 | (41) genls(c_partiallytangible, c_spatialthing_nonsituational) = 0 % 16.11/2.98 | % 16.11/2.98 | DELTA: instantiating (39) with fresh symbols all_89_0, all_89_1 gives: % 16.11/2.98 | (42) mtvisible(c_tptpgeo_member8_mt) = all_89_1 & % 16.11/2.98 | mtvisible(c_tptpgeo_spindleheadmt) = all_89_0 & ( ~ (all_89_1 = 0) | % 16.11/2.98 | all_89_0 = 0) % 16.11/2.98 | % 16.11/2.98 | ALPHA: (42) implies: % 16.11/2.98 | (43) mtvisible(c_tptpgeo_spindleheadmt) = all_89_0 % 16.11/2.98 | (44) mtvisible(c_tptpgeo_member8_mt) = all_89_1 % 16.11/2.98 | (45) ~ (all_89_1 = 0) | all_89_0 = 0 % 16.11/2.98 | % 16.11/2.98 | DELTA: instantiating (37) with fresh symbols all_93_0, all_93_1 gives: % 16.11/2.98 | (46) mtvisible(c_worldgeographymt) = all_93_1 & mtvisible(c_geographymt) = % 16.11/2.98 | all_93_0 & ( ~ (all_93_1 = 0) | all_93_0 = 0) % 16.11/2.98 | % 16.11/2.98 | ALPHA: (46) implies: % 16.11/2.98 | (47) mtvisible(c_worldgeographymt) = all_93_1 % 16.11/2.98 | % 16.11/2.98 | DELTA: instantiating (38) with fresh symbols all_95_0, all_95_1 gives: % 16.11/2.98 | (48) mtvisible(c_tptpgeo_spindleheadmt) = all_95_1 & % 16.11/2.98 | mtvisible(c_worldgeographymt) = all_95_0 & ( ~ (all_95_1 = 0) | % 16.11/2.98 | all_95_0 = 0) % 16.11/2.98 | % 16.11/2.98 | ALPHA: (48) implies: % 16.11/2.98 | (49) mtvisible(c_worldgeographymt) = all_95_0 % 16.11/2.98 | (50) mtvisible(c_tptpgeo_spindleheadmt) = all_95_1 % 16.11/2.98 | (51) ~ (all_95_1 = 0) | all_95_0 = 0 % 16.11/2.98 | % 16.11/2.98 | GROUND_INST: instantiating (27) with all_75_1, all_95_0, c_worldgeographymt, % 16.11/2.98 | simplifying with (30), (49) gives: % 16.11/2.98 | (52) all_95_0 = all_75_1 % 16.11/2.98 | % 16.11/2.98 | GROUND_INST: instantiating (27) with all_93_1, all_95_0, c_worldgeographymt, % 16.11/2.98 | simplifying with (47), (49) gives: % 16.11/2.98 | (53) all_95_0 = all_93_1 % 16.11/2.98 | % 16.11/2.98 | GROUND_INST: instantiating (27) with all_89_0, all_95_1, % 16.11/2.98 | c_tptpgeo_spindleheadmt, simplifying with (43), (50) gives: % 16.11/2.98 | (54) all_95_1 = all_89_0 % 16.11/2.98 | % 16.11/2.98 | GROUND_INST: instantiating (27) with 0, all_89_1, c_tptpgeo_member8_mt, % 16.11/2.98 | simplifying with (24), (44) gives: % 16.11/2.98 | (55) all_89_1 = 0 % 16.11/2.98 | % 16.11/2.98 | COMBINE_EQS: (52), (53) imply: % 16.11/2.98 | (56) all_93_1 = all_75_1 % 16.11/2.98 | % 16.11/2.98 | BETA: splitting (45) gives: % 16.11/2.98 | % 16.11/2.98 | Case 1: % 16.11/2.98 | | % 16.11/2.98 | | (57) ~ (all_89_1 = 0) % 16.11/2.98 | | % 16.11/2.98 | | REDUCE: (55), (57) imply: % 16.11/2.98 | | (58) $false % 16.11/2.98 | | % 16.11/2.98 | | CLOSE: (58) is inconsistent. % 16.11/2.98 | | % 16.11/2.98 | Case 2: % 16.11/2.98 | | % 16.11/2.98 | | (59) all_89_0 = 0 % 16.11/2.98 | | % 16.11/2.98 | | COMBINE_EQS: (54), (59) imply: % 16.11/2.98 | | (60) all_95_1 = 0 % 16.11/2.98 | | % 16.11/2.98 | | BETA: splitting (51) gives: % 16.11/2.98 | | % 16.11/2.98 | | Case 1: % 16.11/2.98 | | | % 16.11/2.98 | | | (61) ~ (all_95_1 = 0) % 16.11/2.98 | | | % 16.11/2.98 | | | REDUCE: (60), (61) imply: % 16.11/2.98 | | | (62) $false % 16.11/2.98 | | | % 16.11/2.98 | | | CLOSE: (62) is inconsistent. % 16.11/2.98 | | | % 16.11/2.98 | | Case 2: % 16.11/2.98 | | | % 16.11/2.98 | | | (63) all_95_0 = 0 % 16.11/2.98 | | | % 16.11/2.98 | | | COMBINE_EQS: (52), (63) imply: % 16.11/2.98 | | | (64) all_75_1 = 0 % 16.11/2.99 | | | % 16.11/2.99 | | | BETA: splitting (31) gives: % 16.11/2.99 | | | % 16.11/2.99 | | | Case 1: % 16.11/2.99 | | | | % 16.11/2.99 | | | | (65) ~ (all_75_1 = 0) % 16.11/2.99 | | | | % 16.11/2.99 | | | | REDUCE: (64), (65) imply: % 16.11/2.99 | | | | (66) $false % 16.11/2.99 | | | | % 16.11/2.99 | | | | CLOSE: (66) is inconsistent. % 16.11/2.99 | | | | % 16.11/2.99 | | | Case 2: % 16.11/2.99 | | | | % 16.11/2.99 | | | | (67) all_75_0 = 0 % 16.11/2.99 | | | | % 16.11/2.99 | | | | REDUCE: (29), (67) imply: % 16.11/2.99 | | | | (68) geolevel_4(c_georegion_l4_x75_y75) = 0 % 16.11/2.99 | | | | % 16.11/2.99 | | | | GROUND_INST: instantiating (19) with c_georegion_l4_x75_y75, simplifying % 16.11/2.99 | | | | with (23), (68) gives: % 16.11/2.99 | | | | (69) isa(c_georegion_l4_x75_y75, c_geolevel_4) = 0 % 16.11/2.99 | | | | % 16.11/2.99 | | | | GROUND_INST: instantiating (17) with c_partiallytangible, % 16.11/2.99 | | | | c_spatialthing_nonsituational, c_geolevel_4, simplifying % 16.11/2.99 | | | | with (12), (14), (18), (40), (41) gives: % 16.11/2.99 | | | | (70) genls(c_geolevel_4, c_spatialthing_nonsituational) = 0 % 16.11/2.99 | | | | % 16.11/2.99 | | | | GROUND_INST: instantiating (21) with c_georegion_l4_x75_y75, % 16.11/2.99 | | | | c_geolevel_4, c_spatialthing_nonsituational, simplifying % 16.11/2.99 | | | | with (14), (18), (23), (69), (70) gives: % 16.11/2.99 | | | | (71) isa(c_georegion_l4_x75_y75, c_spatialthing_nonsituational) = 0 % 16.11/2.99 | | | | % 16.11/2.99 | | | | GROUND_INST: instantiating (13) with c_georegion_l4_x75_y75, simplifying % 16.11/2.99 | | | | with (23), (71) gives: % 16.11/2.99 | | | | (72) spatialthing_nonsituational(c_georegion_l4_x75_y75) = 0 % 16.11/2.99 | | | | % 16.11/2.99 | | | | GROUND_INST: instantiating (20) with c_georegion_l4_x75_y75, simplifying % 16.11/2.99 | | | | with (23), (72) gives: % 16.11/2.99 | | | | (73) inregion(c_georegion_l4_x75_y75, c_georegion_l4_x75_y75) = 0 % 16.11/2.99 | | | | % 16.11/2.99 | | | | GROUND_INST: instantiating (25) with c_georegion_l4_x75_y75, simplifying % 16.11/2.99 | | | | with (23), (73) gives: % 16.11/2.99 | | | | (74) $false % 16.11/2.99 | | | | % 16.11/2.99 | | | | CLOSE: (74) is inconsistent. % 16.11/2.99 | | | | % 16.11/2.99 | | | End of split % 16.11/2.99 | | | % 16.11/2.99 | | End of split % 16.11/2.99 | | % 16.11/2.99 | End of split % 16.11/2.99 | % 16.11/2.99 End of proof % 16.11/2.99 % SZS output end Proof for theBenchmark % 16.11/2.99 % 16.11/2.99 2375ms %------------------------------------------------------------------------------