TSTP Solution File: CSR033+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR033+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n024.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 187.81s 25.39s
% Output : Proof 257.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : CSR033+2 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 12:01:38 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.60 ________ _____
% 0.18/0.60 ___ __ \_________(_)________________________________
% 0.18/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.18/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.18/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.18/0.60
% 0.18/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.18/0.60 (2023-06-19)
% 0.18/0.60
% 0.18/0.60 (c) Philipp Rümmer, 2009-2023
% 0.18/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.18/0.60 Amanda Stjerna.
% 0.18/0.60 Free software under BSD-3-Clause.
% 0.18/0.60
% 0.18/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.18/0.60
% 0.18/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.18/0.62 Running up to 7 provers in parallel.
% 0.61/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.61/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.61/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.61/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.61/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.61/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.61/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 9.67/2.06 Prover 1: Preprocessing ...
% 10.55/2.24 Prover 4: Preprocessing ...
% 11.33/2.27 Prover 2: Preprocessing ...
% 11.33/2.27 Prover 0: Preprocessing ...
% 11.33/2.27 Prover 5: Preprocessing ...
% 11.33/2.29 Prover 6: Preprocessing ...
% 11.95/2.36 Prover 3: Preprocessing ...
% 27.12/4.32 Prover 5: Proving ...
% 27.12/4.37 Prover 2: Proving ...
% 27.78/4.43 Prover 6: Constructing countermodel ...
% 28.32/4.48 Prover 3: Constructing countermodel ...
% 31.22/4.89 Prover 1: Constructing countermodel ...
% 33.97/5.28 Prover 4: Constructing countermodel ...
% 36.05/5.50 Prover 0: Proving ...
% 86.07/11.95 Prover 2: stopped
% 86.07/11.95 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 88.32/12.37 Prover 7: Preprocessing ...
% 93.80/12.97 Prover 7: Constructing countermodel ...
% 101.21/13.97 Prover 5: stopped
% 101.21/13.98 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 103.94/14.37 Prover 8: Preprocessing ...
% 111.35/15.28 Prover 8: Warning: ignoring some quantifiers
% 111.72/15.32 Prover 8: Constructing countermodel ...
% 116.80/15.97 Prover 1: stopped
% 116.80/15.98 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889
% 120.17/16.41 Prover 9: Preprocessing ...
% 129.49/17.62 Prover 9: Constructing countermodel ...
% 131.33/17.87 Prover 6: stopped
% 131.33/17.87 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 135.01/18.34 Prover 10: Preprocessing ...
% 138.65/18.83 Prover 10: Constructing countermodel ...
% 187.81/25.39 Prover 9: proved (9410ms)
% 187.81/25.39
% 187.81/25.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 187.81/25.39
% 187.81/25.40 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 187.81/25.40 Prover 3: stopped
% 187.81/25.41 Prover 0: stopped
% 187.81/25.41 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 187.81/25.41 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 191.03/25.84 Prover 16: Preprocessing ...
% 191.03/25.85 Prover 11: Preprocessing ...
% 191.03/25.88 Prover 13: Preprocessing ...
% 193.00/26.14 Prover 16: Warning: ignoring some quantifiers
% 193.00/26.17 Prover 16: Constructing countermodel ...
% 194.92/26.36 Prover 13: Warning: ignoring some quantifiers
% 195.54/26.41 Prover 13: Constructing countermodel ...
% 199.60/26.94 Prover 11: Constructing countermodel ...
% 207.03/27.96 Prover 4: stopped
% 207.03/27.96 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 209.21/28.26 Prover 19: Preprocessing ...
% 211.74/28.57 Prover 13: stopped
% 222.87/30.08 Prover 19: Warning: ignoring some quantifiers
% 223.19/30.14 Prover 19: Constructing countermodel ...
% 230.31/31.11 Prover 19: stopped
% 231.33/31.34 Prover 7: stopped
% 242.74/33.93 Prover 16: stopped
% 256.48/37.81 Prover 10: Found proof (size 64)
% 256.48/37.81 Prover 10: proved (19937ms)
% 256.48/37.82 Prover 8: stopped
% 256.48/37.82 Prover 11: stopped
% 256.48/37.82
% 256.48/37.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 256.48/37.82
% 256.48/37.83 % SZS output start Proof for theBenchmark
% 256.76/37.87 Assumptions after simplification:
% 256.76/37.87 ---------------------------------
% 256.76/37.87
% 256.76/37.87 (ax1_1)
% 256.76/37.88 $i(c_tptpgeo_spindleheadmt) & $i(c_tptpgeo_member8_mt) &
% 256.76/37.88 genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt)
% 256.76/37.88
% 256.76/37.88 (ax1_1123)
% 256.76/37.88 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ mtvisible(v0) | ~
% 256.76/37.88 genlmt(v0, v1) | mtvisible(v1))
% 256.76/37.88
% 256.76/37.88 (ax1_1128)
% 256.76/37.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 256.76/37.88 ~ genlmt(v1, v2) | ~ genlmt(v0, v1) | genlmt(v0, v2))
% 256.76/37.89
% 256.76/37.89 (ax1_128)
% 256.76/37.89 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 256.76/37.89 geographicalsubregions(v0, v1) | inregion(v1, v0))
% 256.76/37.89
% 256.76/37.89 (ax1_18)
% 256.76/37.89 $i(c_georegion_l2_x8_y2) & $i(c_georegion_l1_x2_y0) & $i(c_tptpgeo_member2_mt)
% 256.76/37.89 & ( ~ mtvisible(c_tptpgeo_member2_mt) |
% 256.76/37.89 geographicalsubregions(c_georegion_l1_x2_y0, c_georegion_l2_x8_y2))
% 256.76/37.89
% 256.76/37.89 (ax1_188)
% 256.76/37.89 $i(c_georegion_l4_x45_y72) & $i(c_georegion_l3_x15_y24) &
% 256.76/37.89 $i(c_tptpgeo_member7_mt) & ( ~ mtvisible(c_tptpgeo_member7_mt) |
% 256.76/37.89 geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72))
% 256.76/37.89
% 256.76/37.89 (ax1_273)
% 256.76/37.89 $i(c_tptpgeo_spindlecollectormt) & $i(c_tptpgeo_member2_mt) &
% 256.76/37.89 genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member2_mt)
% 256.76/37.89
% 256.76/37.89 (ax1_291)
% 256.76/37.89 $i(c_georegion_l3_x25_y7) & $i(c_georegion_l2_x8_y2) &
% 256.76/37.89 $i(c_tptpgeo_member2_mt) & ( ~ mtvisible(c_tptpgeo_member2_mt) |
% 256.76/37.89 geographicalsubregions(c_georegion_l2_x8_y2, c_georegion_l3_x25_y7))
% 256.76/37.89
% 256.76/37.89 (ax1_292)
% 256.76/37.89 $i(c_worldgeographymt) & $i(c_georegion_l1_x2_y0) & ( ~
% 256.76/37.89 mtvisible(c_worldgeographymt) | geolevel_1(c_georegion_l1_x2_y0))
% 256.76/37.89
% 256.76/37.89 (ax1_300)
% 256.76/37.89 $i(c_georegion_l4_x76_y23) & $i(c_georegion_l3_x25_y7) &
% 256.76/37.89 $i(c_tptpgeo_member2_mt) & ( ~ mtvisible(c_tptpgeo_member2_mt) |
% 256.76/37.89 geographicalsubregions(c_georegion_l3_x25_y7, c_georegion_l4_x76_y23))
% 256.76/37.89
% 256.76/37.89 (ax1_326)
% 256.76/37.89 $i(c_worldgeographymt) & $i(c_tptpgeo_spindleheadmt) &
% 256.76/37.89 genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)
% 256.76/37.89
% 256.76/37.89 (ax1_355)
% 256.76/37.89 $i(c_geolocation_x76_y23) & $i(c_georegion_l4_x76_y23) &
% 256.76/37.89 $i(c_tptpgeo_member2_mt) & ( ~ mtvisible(c_tptpgeo_member2_mt) |
% 256.76/37.89 inregion(c_geolocation_x76_y23, c_georegion_l4_x76_y23))
% 256.76/37.89
% 256.76/37.89 (ax1_369)
% 256.76/37.89 $i(c_tptpgeo_spindlecollectormt) & $i(c_tptpgeo_member8_mt) &
% 256.76/37.89 genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member8_mt)
% 256.76/37.89
% 256.76/37.89 (ax1_472)
% 256.76/37.90 $i(c_georegion_l3_x17_y24) & $i(c_georegion_l4_x53_y74) &
% 256.76/37.90 $i(c_tptpgeo_member7_mt) & ( ~ mtvisible(c_tptpgeo_member7_mt) |
% 256.76/37.90 geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74))
% 256.76/37.90
% 256.76/37.90 (ax1_478)
% 256.76/37.90 $i(c_georegion_l3_x17_y24) & $i(c_worldgeographymt) & ( ~
% 256.76/37.90 mtvisible(c_worldgeographymt) | geolevel_3(c_georegion_l3_x17_y24))
% 256.76/37.90
% 256.76/37.90 (ax1_933)
% 256.76/37.90 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 256.76/37.90 ~ inregion(v1, v2) | ~ inregion(v0, v1) | inregion(v0, v2))
% 256.76/37.90
% 256.76/37.90 (query83)
% 256.76/37.90 $i(c_geolocation_x76_y23) & $i(c_tptpgeo_spindlecollectormt) &
% 256.76/37.90 $i(c_georegion_l1_x2_y0) & mtvisible(c_tptpgeo_spindlecollectormt) & ( ~
% 256.76/37.90 geolevel_1(c_georegion_l1_x2_y0) | ~ inregion(c_geolocation_x76_y23,
% 256.76/37.90 c_georegion_l1_x2_y0))
% 256.76/37.90
% 256.76/37.90 Further assumptions not needed in the proof:
% 256.76/37.90 --------------------------------------------
% 256.76/37.90 ax1_10, ax1_100, ax1_1000, ax1_1001, ax1_1002, ax1_1003, ax1_1004, ax1_1005,
% 256.76/37.90 ax1_1006, ax1_1007, ax1_1008, ax1_1009, ax1_101, ax1_1010, ax1_1011, ax1_1012,
% 256.76/37.90 ax1_1013, ax1_1014, ax1_1015, ax1_1016, ax1_1017, ax1_1018, ax1_1019, ax1_102,
% 256.76/37.90 ax1_1020, ax1_1021, ax1_1022, ax1_1023, ax1_1024, ax1_1025, ax1_1026, ax1_1027,
% 256.76/37.90 ax1_1028, ax1_1029, ax1_103, ax1_1030, ax1_1031, ax1_1032, ax1_1033, ax1_1034,
% 256.76/37.90 ax1_1035, ax1_1036, ax1_1037, ax1_1038, ax1_1039, ax1_104, ax1_1040, ax1_1041,
% 256.76/37.90 ax1_1042, ax1_1043, ax1_1044, ax1_1045, ax1_1046, ax1_1047, ax1_1048, ax1_1049,
% 256.76/37.90 ax1_105, ax1_1050, ax1_1051, ax1_1052, ax1_1053, ax1_1054, ax1_1055, ax1_1056,
% 256.76/37.90 ax1_1057, ax1_1058, ax1_1059, ax1_106, ax1_1060, ax1_1061, ax1_1062, ax1_1063,
% 256.76/37.90 ax1_1064, ax1_1065, ax1_1066, ax1_1067, ax1_1068, ax1_1069, ax1_107, ax1_1070,
% 256.76/37.90 ax1_1071, ax1_1072, ax1_1073, ax1_1074, ax1_1075, ax1_1076, ax1_1077, ax1_1078,
% 256.76/37.90 ax1_1079, ax1_108, ax1_1080, ax1_1081, ax1_1082, ax1_1083, ax1_1084, ax1_1085,
% 256.76/37.90 ax1_1086, ax1_1087, ax1_1088, ax1_1089, ax1_109, ax1_1090, ax1_1091, ax1_1092,
% 256.76/37.90 ax1_1093, ax1_1094, ax1_1095, ax1_1096, ax1_1097, ax1_1098, ax1_1099, ax1_11,
% 256.76/37.90 ax1_110, ax1_1100, ax1_1101, ax1_1102, ax1_1103, ax1_1104, ax1_1105, ax1_1106,
% 256.76/37.90 ax1_1107, ax1_1108, ax1_1109, ax1_111, ax1_1110, ax1_1111, ax1_1112, ax1_1113,
% 256.76/37.90 ax1_1114, ax1_1115, ax1_1116, ax1_1117, ax1_1118, ax1_1119, ax1_112, ax1_1120,
% 256.76/37.90 ax1_1121, ax1_1122, ax1_1124, ax1_1125, ax1_1126, ax1_1127, ax1_1129, ax1_113,
% 256.76/37.90 ax1_1130, ax1_1131, ax1_114, ax1_115, ax1_116, ax1_117, ax1_118, ax1_119,
% 256.76/37.90 ax1_12, ax1_120, ax1_121, ax1_122, ax1_123, ax1_124, ax1_125, ax1_126, ax1_127,
% 256.76/37.90 ax1_129, ax1_13, ax1_130, ax1_131, ax1_132, ax1_133, ax1_134, ax1_135, ax1_136,
% 256.76/37.90 ax1_137, ax1_138, ax1_139, ax1_14, ax1_140, ax1_141, ax1_142, ax1_143, ax1_144,
% 256.76/37.90 ax1_145, ax1_146, ax1_147, ax1_148, ax1_149, ax1_15, ax1_150, ax1_151, ax1_152,
% 256.76/37.90 ax1_153, ax1_154, ax1_155, ax1_156, ax1_157, ax1_158, ax1_159, ax1_16, ax1_160,
% 256.76/37.90 ax1_161, ax1_162, ax1_163, ax1_164, ax1_165, ax1_166, ax1_167, ax1_168, ax1_169,
% 256.76/37.90 ax1_17, ax1_170, ax1_171, ax1_172, ax1_173, ax1_174, ax1_175, ax1_176, ax1_177,
% 256.76/37.90 ax1_178, ax1_179, ax1_180, ax1_181, ax1_182, ax1_183, ax1_184, ax1_185, ax1_186,
% 256.76/37.90 ax1_187, ax1_189, ax1_19, ax1_190, ax1_191, ax1_192, ax1_193, ax1_194, ax1_195,
% 256.76/37.90 ax1_196, ax1_197, ax1_198, ax1_199, ax1_2, ax1_20, ax1_200, ax1_201, ax1_202,
% 256.76/37.90 ax1_203, ax1_204, ax1_205, ax1_206, ax1_207, ax1_208, ax1_209, ax1_21, ax1_210,
% 256.76/37.90 ax1_211, ax1_212, ax1_213, ax1_214, ax1_215, ax1_216, ax1_217, ax1_218, ax1_219,
% 256.76/37.90 ax1_22, ax1_220, ax1_221, ax1_222, ax1_223, ax1_224, ax1_225, ax1_226, ax1_227,
% 256.76/37.90 ax1_228, ax1_229, ax1_23, ax1_230, ax1_231, ax1_232, ax1_233, ax1_234, ax1_235,
% 256.76/37.90 ax1_236, ax1_237, ax1_238, ax1_239, ax1_24, ax1_240, ax1_241, ax1_242, ax1_243,
% 256.76/37.90 ax1_244, ax1_245, ax1_246, ax1_247, ax1_248, ax1_249, ax1_25, ax1_250, ax1_251,
% 256.76/37.90 ax1_252, ax1_253, ax1_254, ax1_255, ax1_256, ax1_257, ax1_258, ax1_259, ax1_26,
% 256.76/37.90 ax1_260, ax1_261, ax1_262, ax1_263, ax1_264, ax1_265, ax1_266, ax1_267, ax1_268,
% 256.76/37.90 ax1_269, ax1_27, ax1_270, ax1_271, ax1_272, ax1_274, ax1_275, ax1_276, ax1_277,
% 256.76/37.90 ax1_278, ax1_279, ax1_28, ax1_280, ax1_281, ax1_282, ax1_283, ax1_284, ax1_285,
% 256.76/37.90 ax1_286, ax1_287, ax1_288, ax1_289, ax1_29, ax1_290, ax1_293, ax1_294, ax1_295,
% 256.76/37.90 ax1_296, ax1_297, ax1_298, ax1_299, ax1_3, ax1_30, ax1_301, ax1_302, ax1_303,
% 256.76/37.90 ax1_304, ax1_305, ax1_306, ax1_307, ax1_308, ax1_309, ax1_31, ax1_310, ax1_311,
% 256.76/37.90 ax1_312, ax1_313, ax1_314, ax1_315, ax1_316, ax1_317, ax1_318, ax1_319, ax1_32,
% 256.76/37.90 ax1_320, ax1_321, ax1_322, ax1_323, ax1_324, ax1_325, ax1_327, ax1_328, ax1_329,
% 256.76/37.90 ax1_33, ax1_330, ax1_331, ax1_332, ax1_333, ax1_334, ax1_335, ax1_336, ax1_337,
% 256.76/37.90 ax1_338, ax1_339, ax1_34, ax1_340, ax1_341, ax1_342, ax1_343, ax1_344, ax1_345,
% 256.76/37.90 ax1_346, ax1_347, ax1_348, ax1_349, ax1_35, ax1_350, ax1_351, ax1_352, ax1_353,
% 256.76/37.90 ax1_354, ax1_356, ax1_357, ax1_358, ax1_359, ax1_36, ax1_360, ax1_361, ax1_362,
% 256.76/37.90 ax1_363, ax1_364, ax1_365, ax1_366, ax1_367, ax1_368, ax1_37, ax1_370, ax1_371,
% 256.76/37.90 ax1_372, ax1_373, ax1_374, ax1_375, ax1_376, ax1_377, ax1_378, ax1_379, ax1_38,
% 256.76/37.90 ax1_380, ax1_381, ax1_382, ax1_383, ax1_384, ax1_385, ax1_386, ax1_387, ax1_388,
% 256.76/37.90 ax1_389, ax1_39, ax1_390, ax1_391, ax1_392, ax1_393, ax1_394, ax1_395, ax1_396,
% 256.76/37.90 ax1_397, ax1_398, ax1_399, ax1_4, ax1_40, ax1_400, ax1_401, ax1_402, ax1_403,
% 256.76/37.90 ax1_404, ax1_405, ax1_406, ax1_407, ax1_408, ax1_409, ax1_41, ax1_410, ax1_411,
% 256.76/37.90 ax1_412, ax1_413, ax1_414, ax1_415, ax1_416, ax1_417, ax1_418, ax1_419, ax1_42,
% 256.76/37.90 ax1_420, ax1_421, ax1_422, ax1_423, ax1_424, ax1_425, ax1_426, ax1_427, ax1_428,
% 256.76/37.90 ax1_429, ax1_43, ax1_430, ax1_431, ax1_432, ax1_433, ax1_434, ax1_435, ax1_436,
% 256.76/37.90 ax1_437, ax1_438, ax1_439, ax1_44, ax1_440, ax1_441, ax1_442, ax1_443, ax1_444,
% 256.76/37.90 ax1_445, ax1_446, ax1_447, ax1_448, ax1_449, ax1_45, ax1_450, ax1_451, ax1_452,
% 256.76/37.90 ax1_453, ax1_454, ax1_455, ax1_456, ax1_457, ax1_458, ax1_459, ax1_46, ax1_460,
% 256.76/37.90 ax1_461, ax1_462, ax1_463, ax1_464, ax1_465, ax1_466, ax1_467, ax1_468, ax1_469,
% 256.76/37.90 ax1_47, ax1_470, ax1_471, ax1_473, ax1_474, ax1_475, ax1_476, ax1_477, ax1_479,
% 256.76/37.90 ax1_48, ax1_480, ax1_481, ax1_482, ax1_483, ax1_484, ax1_485, ax1_486, ax1_487,
% 256.76/37.90 ax1_488, ax1_489, ax1_49, ax1_490, ax1_491, ax1_492, ax1_493, ax1_494, ax1_495,
% 256.76/37.90 ax1_496, ax1_497, ax1_498, ax1_499, ax1_5, ax1_50, ax1_500, ax1_501, ax1_502,
% 256.76/37.90 ax1_503, ax1_504, ax1_505, ax1_506, ax1_507, ax1_508, ax1_509, ax1_51, ax1_510,
% 256.76/37.90 ax1_511, ax1_512, ax1_513, ax1_514, ax1_515, ax1_516, ax1_517, ax1_518, ax1_519,
% 256.76/37.90 ax1_52, ax1_520, ax1_521, ax1_522, ax1_523, ax1_524, ax1_525, ax1_526, ax1_527,
% 256.76/37.90 ax1_528, ax1_529, ax1_53, ax1_530, ax1_531, ax1_532, ax1_533, ax1_534, ax1_535,
% 256.76/37.90 ax1_536, ax1_537, ax1_538, ax1_539, ax1_54, ax1_540, ax1_541, ax1_542, ax1_543,
% 256.76/37.90 ax1_544, ax1_545, ax1_546, ax1_547, ax1_548, ax1_549, ax1_55, ax1_550, ax1_551,
% 256.76/37.90 ax1_552, ax1_553, ax1_554, ax1_555, ax1_556, ax1_557, ax1_558, ax1_559, ax1_56,
% 256.76/37.90 ax1_560, ax1_561, ax1_562, ax1_563, ax1_564, ax1_565, ax1_566, ax1_567, ax1_568,
% 256.76/37.90 ax1_569, ax1_57, ax1_570, ax1_571, ax1_572, ax1_573, ax1_574, ax1_575, ax1_576,
% 256.76/37.90 ax1_577, ax1_578, ax1_579, ax1_58, ax1_580, ax1_581, ax1_582, ax1_583, ax1_584,
% 256.76/37.90 ax1_585, ax1_586, ax1_587, ax1_588, ax1_589, ax1_59, ax1_590, ax1_591, ax1_592,
% 256.76/37.90 ax1_593, ax1_594, ax1_595, ax1_596, ax1_597, ax1_598, ax1_599, ax1_6, ax1_60,
% 256.76/37.90 ax1_600, ax1_601, ax1_602, ax1_603, ax1_604, ax1_605, ax1_606, ax1_607, ax1_608,
% 256.76/37.90 ax1_609, ax1_61, ax1_610, ax1_611, ax1_612, ax1_613, ax1_614, ax1_615, ax1_616,
% 256.76/37.90 ax1_617, ax1_618, ax1_619, ax1_62, ax1_620, ax1_621, ax1_622, ax1_623, ax1_624,
% 256.76/37.90 ax1_625, ax1_626, ax1_627, ax1_628, ax1_629, ax1_63, ax1_630, ax1_631, ax1_632,
% 256.76/37.90 ax1_633, ax1_634, ax1_635, ax1_636, ax1_637, ax1_638, ax1_639, ax1_64, ax1_640,
% 256.76/37.90 ax1_641, ax1_642, ax1_643, ax1_644, ax1_645, ax1_646, ax1_647, ax1_648, ax1_649,
% 256.76/37.90 ax1_65, ax1_650, ax1_651, ax1_652, ax1_653, ax1_654, ax1_655, ax1_656, ax1_657,
% 256.76/37.90 ax1_658, ax1_659, ax1_66, ax1_660, ax1_661, ax1_662, ax1_663, ax1_664, ax1_665,
% 256.76/37.90 ax1_666, ax1_667, ax1_668, ax1_669, ax1_67, ax1_670, ax1_671, ax1_672, ax1_673,
% 256.76/37.90 ax1_674, ax1_675, ax1_676, ax1_677, ax1_678, ax1_679, ax1_68, ax1_680, ax1_681,
% 256.76/37.90 ax1_682, ax1_683, ax1_684, ax1_685, ax1_686, ax1_687, ax1_688, ax1_689, ax1_69,
% 256.76/37.90 ax1_690, ax1_691, ax1_692, ax1_693, ax1_694, ax1_695, ax1_696, ax1_697, ax1_698,
% 256.76/37.90 ax1_699, ax1_7, ax1_70, ax1_700, ax1_701, ax1_702, ax1_703, ax1_704, ax1_705,
% 256.76/37.90 ax1_706, ax1_707, ax1_708, ax1_709, ax1_71, ax1_710, ax1_711, ax1_712, ax1_713,
% 256.76/37.90 ax1_714, ax1_715, ax1_716, ax1_717, ax1_718, ax1_719, ax1_72, ax1_720, ax1_721,
% 256.76/37.90 ax1_722, ax1_723, ax1_724, ax1_725, ax1_726, ax1_727, ax1_728, ax1_729, ax1_73,
% 256.76/37.90 ax1_730, ax1_731, ax1_732, ax1_733, ax1_734, ax1_735, ax1_736, ax1_737, ax1_738,
% 256.76/37.90 ax1_739, ax1_74, ax1_740, ax1_741, ax1_742, ax1_743, ax1_744, ax1_745, ax1_746,
% 256.76/37.90 ax1_747, ax1_748, ax1_749, ax1_75, ax1_750, ax1_751, ax1_752, ax1_753, ax1_754,
% 256.76/37.90 ax1_755, ax1_756, ax1_757, ax1_758, ax1_759, ax1_76, ax1_760, ax1_761, ax1_762,
% 256.76/37.90 ax1_763, ax1_764, ax1_765, ax1_766, ax1_767, ax1_768, ax1_769, ax1_77, ax1_770,
% 256.76/37.90 ax1_771, ax1_772, ax1_773, ax1_774, ax1_775, ax1_776, ax1_777, ax1_778, ax1_779,
% 256.76/37.90 ax1_78, ax1_780, ax1_781, ax1_782, ax1_783, ax1_784, ax1_785, ax1_786, ax1_787,
% 256.76/37.90 ax1_788, ax1_789, ax1_79, ax1_790, ax1_791, ax1_792, ax1_793, ax1_794, ax1_795,
% 256.76/37.90 ax1_796, ax1_797, ax1_798, ax1_799, ax1_8, ax1_80, ax1_800, ax1_801, ax1_802,
% 256.76/37.90 ax1_803, ax1_804, ax1_805, ax1_806, ax1_807, ax1_808, ax1_809, ax1_81, ax1_810,
% 256.76/37.90 ax1_811, ax1_812, ax1_813, ax1_814, ax1_815, ax1_816, ax1_817, ax1_818, ax1_819,
% 256.76/37.90 ax1_82, ax1_820, ax1_821, ax1_822, ax1_823, ax1_824, ax1_825, ax1_826, ax1_827,
% 256.76/37.90 ax1_828, ax1_829, ax1_83, ax1_830, ax1_831, ax1_832, ax1_833, ax1_834, ax1_835,
% 256.76/37.90 ax1_836, ax1_837, ax1_838, ax1_839, ax1_84, ax1_840, ax1_841, ax1_842, ax1_843,
% 256.76/37.91 ax1_844, ax1_845, ax1_846, ax1_847, ax1_848, ax1_849, ax1_85, ax1_850, ax1_851,
% 256.76/37.91 ax1_852, ax1_853, ax1_854, ax1_855, ax1_856, ax1_857, ax1_858, ax1_859, ax1_86,
% 256.76/37.91 ax1_860, ax1_861, ax1_862, ax1_863, ax1_864, ax1_865, ax1_866, ax1_867, ax1_868,
% 256.76/37.91 ax1_869, ax1_87, ax1_870, ax1_871, ax1_872, ax1_873, ax1_874, ax1_875, ax1_876,
% 256.76/37.91 ax1_877, ax1_878, ax1_879, ax1_88, ax1_880, ax1_881, ax1_882, ax1_883, ax1_884,
% 256.76/37.91 ax1_885, ax1_886, ax1_887, ax1_888, ax1_889, ax1_89, ax1_890, ax1_891, ax1_892,
% 256.76/37.91 ax1_893, ax1_894, ax1_895, ax1_896, ax1_897, ax1_898, ax1_899, ax1_9, ax1_90,
% 256.76/37.91 ax1_900, ax1_901, ax1_902, ax1_903, ax1_904, ax1_905, ax1_906, ax1_907, ax1_908,
% 256.76/37.91 ax1_909, ax1_91, ax1_910, ax1_911, ax1_912, ax1_913, ax1_914, ax1_915, ax1_916,
% 256.76/37.91 ax1_917, ax1_918, ax1_919, ax1_92, ax1_920, ax1_921, ax1_922, ax1_923, ax1_924,
% 256.76/37.91 ax1_925, ax1_926, ax1_927, ax1_928, ax1_929, ax1_93, ax1_930, ax1_931, ax1_932,
% 256.76/37.91 ax1_934, ax1_935, ax1_936, ax1_937, ax1_938, ax1_939, ax1_94, ax1_940, ax1_941,
% 256.76/37.91 ax1_942, ax1_943, ax1_944, ax1_945, ax1_946, ax1_947, ax1_948, ax1_949, ax1_95,
% 256.76/37.91 ax1_950, ax1_951, ax1_952, ax1_953, ax1_954, ax1_955, ax1_956, ax1_957, ax1_958,
% 256.76/37.91 ax1_959, ax1_96, ax1_960, ax1_961, ax1_962, ax1_963, ax1_964, ax1_965, ax1_966,
% 256.76/37.91 ax1_967, ax1_968, ax1_969, ax1_97, ax1_970, ax1_971, ax1_972, ax1_973, ax1_974,
% 256.76/37.91 ax1_975, ax1_976, ax1_977, ax1_978, ax1_979, ax1_98, ax1_980, ax1_981, ax1_982,
% 256.76/37.91 ax1_983, ax1_984, ax1_985, ax1_986, ax1_987, ax1_988, ax1_989, ax1_99, ax1_990,
% 256.76/37.91 ax1_991, ax1_992, ax1_993, ax1_994, ax1_995, ax1_996, ax1_997, ax1_998, ax1_999
% 256.76/37.91
% 256.76/37.91 Those formulas are unsatisfiable:
% 256.76/37.91 ---------------------------------
% 256.76/37.91
% 256.76/37.91 Begin of proof
% 256.76/37.91 |
% 256.76/37.91 | ALPHA: (ax1_1) implies:
% 256.76/37.91 | (1) genlmt(c_tptpgeo_member8_mt, c_tptpgeo_spindleheadmt)
% 256.76/37.91 |
% 256.76/37.91 | ALPHA: (ax1_18) implies:
% 256.76/37.91 | (2) ~ mtvisible(c_tptpgeo_member2_mt) |
% 256.76/37.91 | geographicalsubregions(c_georegion_l1_x2_y0, c_georegion_l2_x8_y2)
% 256.76/37.91 |
% 256.76/37.91 | ALPHA: (ax1_188) implies:
% 256.76/37.91 | (3) ~ mtvisible(c_tptpgeo_member7_mt) |
% 256.76/37.91 | geographicalsubregions(c_georegion_l3_x15_y24, c_georegion_l4_x45_y72)
% 256.76/37.91 |
% 256.76/37.91 | ALPHA: (ax1_273) implies:
% 256.76/37.91 | (4) genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member2_mt)
% 256.76/37.91 |
% 256.76/37.91 | ALPHA: (ax1_291) implies:
% 256.76/37.91 | (5) $i(c_georegion_l2_x8_y2)
% 256.76/37.91 | (6) ~ mtvisible(c_tptpgeo_member2_mt) |
% 256.76/37.91 | geographicalsubregions(c_georegion_l2_x8_y2, c_georegion_l3_x25_y7)
% 256.76/37.91 |
% 256.76/37.91 | ALPHA: (ax1_292) implies:
% 256.76/37.91 | (7) ~ mtvisible(c_worldgeographymt) | geolevel_1(c_georegion_l1_x2_y0)
% 256.76/37.91 |
% 256.76/37.91 | ALPHA: (ax1_300) implies:
% 256.76/37.91 | (8) $i(c_georegion_l3_x25_y7)
% 256.76/37.91 | (9) ~ mtvisible(c_tptpgeo_member2_mt) |
% 257.00/37.91 | geographicalsubregions(c_georegion_l3_x25_y7, c_georegion_l4_x76_y23)
% 257.00/37.91 |
% 257.00/37.91 | ALPHA: (ax1_326) implies:
% 257.00/37.92 | (10) genlmt(c_tptpgeo_spindleheadmt, c_worldgeographymt)
% 257.00/37.92 | (11) $i(c_tptpgeo_spindleheadmt)
% 257.00/37.92 |
% 257.00/37.92 | ALPHA: (ax1_355) implies:
% 257.00/37.92 | (12) $i(c_tptpgeo_member2_mt)
% 257.00/37.92 | (13) $i(c_georegion_l4_x76_y23)
% 257.00/37.92 | (14) ~ mtvisible(c_tptpgeo_member2_mt) | inregion(c_geolocation_x76_y23,
% 257.00/37.92 | c_georegion_l4_x76_y23)
% 257.00/37.92 |
% 257.00/37.92 | ALPHA: (ax1_369) implies:
% 257.00/37.92 | (15) genlmt(c_tptpgeo_spindlecollectormt, c_tptpgeo_member8_mt)
% 257.00/37.92 | (16) $i(c_tptpgeo_member8_mt)
% 257.00/37.92 |
% 257.00/37.92 | ALPHA: (ax1_472) implies:
% 257.00/37.92 | (17) ~ mtvisible(c_tptpgeo_member7_mt) |
% 257.00/37.92 | geographicalsubregions(c_georegion_l3_x17_y24, c_georegion_l4_x53_y74)
% 257.00/37.92 |
% 257.00/37.92 | ALPHA: (ax1_478) implies:
% 257.00/37.92 | (18) $i(c_worldgeographymt)
% 257.00/37.92 |
% 257.00/37.92 | ALPHA: (query83) implies:
% 257.00/37.92 | (19) mtvisible(c_tptpgeo_spindlecollectormt)
% 257.00/37.92 | (20) $i(c_georegion_l1_x2_y0)
% 257.00/37.92 | (21) $i(c_tptpgeo_spindlecollectormt)
% 257.00/37.92 | (22) $i(c_geolocation_x76_y23)
% 257.00/37.92 | (23) ~ geolevel_1(c_georegion_l1_x2_y0) | ~
% 257.00/37.92 | inregion(c_geolocation_x76_y23, c_georegion_l1_x2_y0)
% 257.00/37.92 |
% 257.00/37.92 | GROUND_INST: instantiating (ax1_1128) with c_tptpgeo_member8_mt,
% 257.00/37.92 | c_tptpgeo_spindleheadmt, c_worldgeographymt, simplifying with
% 257.00/37.92 | (1), (10), (11), (16), (18) gives:
% 257.00/37.92 | (24) genlmt(c_tptpgeo_member8_mt, c_worldgeographymt)
% 257.00/37.92 |
% 257.00/37.92 | GROUND_INST: instantiating (ax1_1123) with c_tptpgeo_spindlecollectormt,
% 257.00/37.92 | c_tptpgeo_member2_mt, simplifying with (4), (12), (19), (21)
% 257.00/37.92 | gives:
% 257.00/37.92 | (25) mtvisible(c_tptpgeo_member2_mt)
% 257.00/37.92 |
% 257.00/37.92 | GROUND_INST: instantiating (ax1_1123) with c_tptpgeo_spindlecollectormt,
% 257.00/37.92 | c_tptpgeo_member8_mt, simplifying with (15), (16), (19), (21)
% 257.00/37.92 | gives:
% 257.00/37.92 | (26) mtvisible(c_tptpgeo_member8_mt)
% 257.00/37.92 |
% 257.00/37.92 | BETA: splitting (2) gives:
% 257.00/37.92 |
% 257.00/37.92 | Case 1:
% 257.00/37.92 | |
% 257.00/37.92 | | (27) ~ mtvisible(c_tptpgeo_member2_mt)
% 257.00/37.92 | |
% 257.00/37.92 | | PRED_UNIFY: (25), (27) imply:
% 257.00/37.92 | | (28) $false
% 257.00/37.93 | |
% 257.00/37.93 | | CLOSE: (28) is inconsistent.
% 257.00/37.93 | |
% 257.00/37.93 | Case 2:
% 257.00/37.93 | |
% 257.00/37.93 | | (29) geographicalsubregions(c_georegion_l1_x2_y0, c_georegion_l2_x8_y2)
% 257.00/37.93 | |
% 257.00/37.93 | | BETA: splitting (6) gives:
% 257.00/37.93 | |
% 257.00/37.93 | | Case 1:
% 257.00/37.93 | | |
% 257.00/37.93 | | | (30) ~ mtvisible(c_tptpgeo_member2_mt)
% 257.00/37.93 | | |
% 257.00/37.93 | | | PRED_UNIFY: (25), (30) imply:
% 257.00/37.93 | | | (31) $false
% 257.00/37.93 | | |
% 257.00/37.93 | | | CLOSE: (31) is inconsistent.
% 257.00/37.93 | | |
% 257.00/37.93 | | Case 2:
% 257.00/37.93 | | |
% 257.00/37.93 | | | (32) geographicalsubregions(c_georegion_l2_x8_y2,
% 257.00/37.93 | | | c_georegion_l3_x25_y7)
% 257.00/37.93 | | |
% 257.00/37.93 | | | BETA: splitting (14) gives:
% 257.00/37.93 | | |
% 257.00/37.93 | | | Case 1:
% 257.00/37.93 | | | |
% 257.00/37.93 | | | | (33) ~ mtvisible(c_tptpgeo_member2_mt)
% 257.00/37.93 | | | |
% 257.00/37.93 | | | | PRED_UNIFY: (25), (33) imply:
% 257.00/37.93 | | | | (34) $false
% 257.00/37.93 | | | |
% 257.00/37.93 | | | | CLOSE: (34) is inconsistent.
% 257.00/37.93 | | | |
% 257.00/37.93 | | | Case 2:
% 257.00/37.93 | | | |
% 257.00/37.93 | | | | (35) inregion(c_geolocation_x76_y23, c_georegion_l4_x76_y23)
% 257.00/37.93 | | | |
% 257.00/37.93 | | | | BETA: splitting (9) gives:
% 257.00/37.93 | | | |
% 257.00/37.93 | | | | Case 1:
% 257.00/37.93 | | | | |
% 257.00/37.93 | | | | | (36) ~ mtvisible(c_tptpgeo_member2_mt)
% 257.00/37.93 | | | | |
% 257.00/37.93 | | | | | PRED_UNIFY: (25), (36) imply:
% 257.00/37.93 | | | | | (37) $false
% 257.00/37.93 | | | | |
% 257.00/37.93 | | | | | CLOSE: (37) is inconsistent.
% 257.00/37.93 | | | | |
% 257.00/37.93 | | | | Case 2:
% 257.00/37.93 | | | | |
% 257.00/37.93 | | | | | (38) geographicalsubregions(c_georegion_l3_x25_y7,
% 257.00/37.93 | | | | | c_georegion_l4_x76_y23)
% 257.00/37.93 | | | | |
% 257.00/37.93 | | | | | BETA: splitting (7) gives:
% 257.00/37.93 | | | | |
% 257.00/37.93 | | | | | Case 1:
% 257.00/37.93 | | | | | |
% 257.00/37.93 | | | | | | (39) ~ mtvisible(c_worldgeographymt)
% 257.00/37.93 | | | | | |
% 257.00/37.93 | | | | | | GROUND_INST: instantiating (ax1_1123) with c_tptpgeo_member8_mt,
% 257.00/37.93 | | | | | | c_worldgeographymt, simplifying with (16), (18), (24),
% 257.00/37.93 | | | | | | (26), (39) gives:
% 257.00/37.93 | | | | | | (40) $false
% 257.00/37.93 | | | | | |
% 257.00/37.93 | | | | | | CLOSE: (40) is inconsistent.
% 257.00/37.93 | | | | | |
% 257.00/37.93 | | | | | Case 2:
% 257.00/37.93 | | | | | |
% 257.00/37.93 | | | | | | (41) geolevel_1(c_georegion_l1_x2_y0)
% 257.00/37.93 | | | | | |
% 257.00/37.93 | | | | | | BETA: splitting (23) gives:
% 257.00/37.93 | | | | | |
% 257.00/37.93 | | | | | | Case 1:
% 257.00/37.93 | | | | | | |
% 257.00/37.93 | | | | | | | (42) ~ geolevel_1(c_georegion_l1_x2_y0)
% 257.00/37.93 | | | | | | |
% 257.00/37.93 | | | | | | | PRED_UNIFY: (41), (42) imply:
% 257.00/37.93 | | | | | | | (43) $false
% 257.00/37.93 | | | | | | |
% 257.00/37.93 | | | | | | | CLOSE: (43) is inconsistent.
% 257.00/37.93 | | | | | | |
% 257.00/37.93 | | | | | | Case 2:
% 257.00/37.93 | | | | | | |
% 257.00/37.93 | | | | | | | (44) ~ inregion(c_geolocation_x76_y23, c_georegion_l1_x2_y0)
% 257.00/37.93 | | | | | | |
% 257.00/37.93 | | | | | | | BETA: splitting (3) gives:
% 257.00/37.93 | | | | | | |
% 257.00/37.93 | | | | | | | Case 1:
% 257.00/37.93 | | | | | | | |
% 257.00/37.93 | | | | | | | |
% 257.00/37.93 | | | | | | | | REF_CLOSE: (5), (8), (13), (20), (22), (29), (32), (35), (38),
% 257.00/37.93 | | | | | | | | (44), (ax1_128), (ax1_933) are inconsistent by
% 257.00/37.93 | | | | | | | | sub-proof #1.
% 257.00/37.93 | | | | | | | |
% 257.00/37.93 | | | | | | | Case 2:
% 257.00/37.93 | | | | | | | |
% 257.00/37.93 | | | | | | | | (45) mtvisible(c_tptpgeo_member7_mt)
% 257.00/37.93 | | | | | | | |
% 257.00/37.93 | | | | | | | | BETA: splitting (17) gives:
% 257.00/37.93 | | | | | | | |
% 257.00/37.93 | | | | | | | | Case 1:
% 257.00/37.93 | | | | | | | | |
% 257.00/37.93 | | | | | | | | | (46) ~ mtvisible(c_tptpgeo_member7_mt)
% 257.00/37.93 | | | | | | | | |
% 257.00/37.93 | | | | | | | | | PRED_UNIFY: (45), (46) imply:
% 257.00/37.93 | | | | | | | | | (47) $false
% 257.00/37.93 | | | | | | | | |
% 257.00/37.93 | | | | | | | | | CLOSE: (47) is inconsistent.
% 257.00/37.93 | | | | | | | | |
% 257.00/37.93 | | | | | | | | Case 2:
% 257.00/37.93 | | | | | | | | |
% 257.00/37.93 | | | | | | | | |
% 257.00/37.93 | | | | | | | | | REF_CLOSE: (5), (8), (13), (20), (22), (29), (32), (35), (38),
% 257.00/37.93 | | | | | | | | | (44), (ax1_128), (ax1_933) are inconsistent by
% 257.00/37.93 | | | | | | | | | sub-proof #1.
% 257.00/37.93 | | | | | | | | |
% 257.00/37.93 | | | | | | | | End of split
% 257.00/37.93 | | | | | | | |
% 257.00/37.93 | | | | | | | End of split
% 257.00/37.93 | | | | | | |
% 257.00/37.93 | | | | | | End of split
% 257.00/37.93 | | | | | |
% 257.00/37.93 | | | | | End of split
% 257.00/37.93 | | | | |
% 257.00/37.93 | | | | End of split
% 257.00/37.93 | | | |
% 257.00/37.93 | | | End of split
% 257.00/37.93 | | |
% 257.00/37.93 | | End of split
% 257.00/37.93 | |
% 257.00/37.93 | End of split
% 257.00/37.93 |
% 257.00/37.93 End of proof
% 257.00/37.93
% 257.00/37.93 Sub-proof #1 shows that the following formulas are inconsistent:
% 257.00/37.93 ----------------------------------------------------------------
% 257.00/37.94 (1) $i(c_georegion_l1_x2_y0)
% 257.00/37.94 (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~
% 257.00/37.94 geographicalsubregions(v0, v1) | inregion(v1, v0))
% 257.00/37.94 (3) ~ inregion(c_geolocation_x76_y23, c_georegion_l1_x2_y0)
% 257.00/37.94 (4) $i(c_geolocation_x76_y23)
% 257.00/37.94 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 257.00/37.94 $i(v0) | ~ inregion(v1, v2) | ~ inregion(v0, v1) | inregion(v0, v2))
% 257.00/37.94 (6) $i(c_georegion_l3_x25_y7)
% 257.00/37.94 (7) geographicalsubregions(c_georegion_l2_x8_y2, c_georegion_l3_x25_y7)
% 257.00/37.94 (8) $i(c_georegion_l4_x76_y23)
% 257.00/37.94 (9) $i(c_georegion_l2_x8_y2)
% 257.00/37.94 (10) geographicalsubregions(c_georegion_l1_x2_y0, c_georegion_l2_x8_y2)
% 257.00/37.94 (11) inregion(c_geolocation_x76_y23, c_georegion_l4_x76_y23)
% 257.00/37.94 (12) geographicalsubregions(c_georegion_l3_x25_y7, c_georegion_l4_x76_y23)
% 257.00/37.94
% 257.00/37.94 Begin of proof
% 257.00/37.94 |
% 257.00/37.94 | GROUND_INST: instantiating (2) with c_georegion_l1_x2_y0,
% 257.00/37.94 | c_georegion_l2_x8_y2, simplifying with (1), (9), (10) gives:
% 257.00/37.94 | (13) inregion(c_georegion_l2_x8_y2, c_georegion_l1_x2_y0)
% 257.00/37.94 |
% 257.00/37.94 | GROUND_INST: instantiating (2) with c_georegion_l2_x8_y2,
% 257.00/37.94 | c_georegion_l3_x25_y7, simplifying with (6), (7), (9) gives:
% 257.00/37.94 | (14) inregion(c_georegion_l3_x25_y7, c_georegion_l2_x8_y2)
% 257.00/37.94 |
% 257.00/37.94 | GROUND_INST: instantiating (2) with c_georegion_l3_x25_y7,
% 257.00/37.94 | c_georegion_l4_x76_y23, simplifying with (6), (8), (12) gives:
% 257.00/37.94 | (15) inregion(c_georegion_l4_x76_y23, c_georegion_l3_x25_y7)
% 257.00/37.94 |
% 257.00/37.94 | GROUND_INST: instantiating (5) with c_georegion_l3_x25_y7,
% 257.00/37.94 | c_georegion_l2_x8_y2, c_georegion_l1_x2_y0, simplifying with (1),
% 257.00/37.94 | (6), (9), (13), (14) gives:
% 257.00/37.94 | (16) inregion(c_georegion_l3_x25_y7, c_georegion_l1_x2_y0)
% 257.00/37.94 |
% 257.00/37.94 | GROUND_INST: instantiating (5) with c_geolocation_x76_y23,
% 257.00/37.94 | c_georegion_l4_x76_y23, c_georegion_l3_x25_y7, simplifying with
% 257.00/37.94 | (4), (6), (8), (11), (15) gives:
% 257.00/37.94 | (17) inregion(c_geolocation_x76_y23, c_georegion_l3_x25_y7)
% 257.00/37.94 |
% 257.00/37.94 | GROUND_INST: instantiating (5) with c_geolocation_x76_y23,
% 257.00/37.94 | c_georegion_l3_x25_y7, c_georegion_l1_x2_y0, simplifying with
% 257.00/37.94 | (1), (3), (4), (6), (16), (17) gives:
% 257.00/37.94 | (18) $false
% 257.00/37.94 |
% 257.00/37.94 | CLOSE: (18) is inconsistent.
% 257.00/37.94 |
% 257.00/37.94 End of proof
% 257.00/37.94 % SZS output end Proof for theBenchmark
% 257.00/37.94
% 257.00/37.94 37338ms
%------------------------------------------------------------------------------