%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : CSR052+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 : n014.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 21:36:52 EDT 2023 % Result : Theorem 58.72s 8.52s % Output : Proof 161.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CSR052+2 : TPTP v8.1.2. Released v3.4.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Mon Aug 28 09:27:00 EDT 2023 % 0.16/0.34 % CPUTime : % 0.19/0.59 ________ _____ % 0.19/0.59 ___ __ \_________(_)________________________________ % 0.19/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.59 % 0.19/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.59 (2023-06-19) % 0.19/0.59 % 0.19/0.59 (c) Philipp Rümmer, 2009-2023 % 0.19/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.59 Amanda Stjerna. % 0.19/0.59 Free software under BSD-3-Clause. % 0.19/0.59 % 0.19/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.59 % 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.60 Running up to 7 provers in parallel. % 0.19/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 12.43/2.41 Prover 1: Preprocessing ... % 12.43/2.41 Prover 4: Preprocessing ... % 12.99/2.45 Prover 2: Preprocessing ... % 12.99/2.45 Prover 3: Preprocessing ... % 12.99/2.45 Prover 0: Preprocessing ... % 12.99/2.45 Prover 5: Preprocessing ... % 12.99/2.46 Prover 6: Preprocessing ... % 28.42/4.51 Prover 5: Proving ... % 28.90/4.55 Prover 2: Proving ... % 29.68/4.69 Prover 6: Constructing countermodel ... % 29.68/4.74 Prover 3: Constructing countermodel ... % 33.82/5.24 Prover 1: Constructing countermodel ... % 38.80/5.86 Prover 4: Constructing countermodel ... % 39.64/6.02 Prover 0: Proving ... % 58.72/8.52 Prover 3: proved (7897ms) % 58.72/8.52 % 58.72/8.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 58.72/8.52 % 58.72/8.52 Prover 6: stopped % 58.72/8.53 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 58.72/8.53 Prover 2: stopped % 58.72/8.54 Prover 5: stopped % 58.72/8.55 Prover 0: stopped % 59.46/8.56 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 59.46/8.56 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 59.46/8.56 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 59.46/8.56 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 66.17/9.45 Prover 11: Preprocessing ... % 66.17/9.49 Prover 13: Preprocessing ... % 66.17/9.51 Prover 8: Preprocessing ... % 66.17/9.59 Prover 7: Preprocessing ... % 66.17/9.60 Prover 10: Preprocessing ... % 70.79/10.04 Prover 13: Warning: ignoring some quantifiers % 71.34/10.11 Prover 13: Constructing countermodel ... % 71.34/10.12 Prover 10: Constructing countermodel ... % 71.34/10.12 Prover 7: Constructing countermodel ... % 75.29/10.63 Prover 8: Warning: ignoring some quantifiers % 75.67/10.68 Prover 8: Constructing countermodel ... % 78.61/11.14 Prover 11: Constructing countermodel ... % 93.12/12.98 Prover 13: stopped % 93.65/13.00 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 96.54/13.42 Prover 16: Preprocessing ... % 100.35/13.88 Prover 16: Warning: ignoring some quantifiers % 100.66/13.92 Prover 16: Constructing countermodel ... % 116.33/15.95 Prover 1: stopped % 116.33/15.96 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 119.11/16.33 Prover 19: Preprocessing ... % 129.00/17.63 Prover 19: Warning: ignoring some quantifiers % 130.36/17.80 Prover 19: Constructing countermodel ... % 133.19/18.21 Prover 16: stopped % 143.65/19.52 Prover 19: stopped % 161.27/22.22 Prover 10: Found proof (size 27) % 161.27/22.22 Prover 10: proved (13670ms) % 161.27/22.22 Prover 7: stopped % 161.27/22.22 Prover 4: stopped % 161.27/22.22 Prover 8: stopped % 161.27/22.22 Prover 11: stopped % 161.27/22.22 % 161.27/22.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 161.27/22.22 % 161.27/22.23 % SZS output start Proof for theBenchmark % 161.74/22.25 Assumptions after simplification: % 161.74/22.25 --------------------------------- % 161.74/22.25 % 161.74/22.25 (ax1_1044) % 161.74/22.26 $i(c_tptpcol_12_40420) & ! [v0: $i] : ( ~ $i(v0) | ~ tptpcol_12_40420(v0) | % 161.74/22.26 isa(v0, c_tptpcol_12_40420)) % 161.74/22.26 % 161.74/22.26 (ax1_1046) % 161.74/22.26 $i(c_tptpcol_13_40421) & ! [v0: $i] : ( ~ $i(v0) | ~ tptpcol_13_40421(v0) | % 161.74/22.26 isa(v0, c_tptpcol_13_40421)) % 161.74/22.26 % 161.74/22.26 (ax1_1102) % 161.74/22.26 $i(c_tptpcol_14_40429) & ! [v0: $i] : ( ~ $i(v0) | ~ tptpcol_14_40429(v0) | % 161.74/22.26 isa(v0, c_tptpcol_14_40429)) % 161.74/22.26 % 161.74/22.26 (ax1_1112) % 161.74/22.26 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 161.74/22.26 ~ genls(v2, v0) | ~ genls(v0, v1) | genls(v2, v1)) % 161.74/22.26 % 161.74/22.26 (ax1_16) % 161.74/22.26 $i(c_tptpcol_12_40420) & $i(c_tptpcol_13_40421) & genls(c_tptpcol_13_40421, % 161.74/22.26 c_tptpcol_12_40420) % 161.74/22.26 % 161.74/22.26 (ax1_186) % 161.74/22.26 $i(c_tptpcol_13_40421) & $i(c_tptpcol_14_40429) & genls(c_tptpcol_14_40429, % 161.74/22.26 c_tptpcol_13_40421) % 161.74/22.26 % 161.74/22.26 (ax1_4) % 161.74/22.26 $i(c_tptpcol_14_40429) & $i(c_tptpcol_15_40430) & genls(c_tptpcol_15_40430, % 161.74/22.26 c_tptpcol_14_40429) % 161.74/22.26 % 161.74/22.26 (ax1_424) % 161.74/22.26 $i(c_tptpcol_10_40324) & $i(c_tptpcol_11_40388) & genls(c_tptpcol_11_40388, % 161.74/22.26 c_tptpcol_10_40324) % 161.74/22.26 % 161.74/22.26 (ax1_438) % 161.74/22.26 $i(c_tptpcol_7_39939) & $i(c_tptpcol_8_39940) & genls(c_tptpcol_8_39940, % 161.74/22.26 c_tptpcol_7_39939) % 161.74/22.26 % 161.74/22.26 (ax1_470) % 161.74/22.26 $i(c_tptpcol_8_39940) & $i(c_tptpcol_9_40196) & genls(c_tptpcol_9_40196, % 161.74/22.26 c_tptpcol_8_39940) % 161.74/22.26 % 161.74/22.26 (ax1_536) % 161.74/22.26 $i(c_tptpcol_8_39940) & ! [v0: $i] : ( ~ $i(v0) | ~ tptpcol_8_39940(v0) | % 161.74/22.26 isa(v0, c_tptpcol_8_39940)) % 161.74/22.26 % 161.74/22.26 (ax1_54) % 161.74/22.26 $i(c_tptpcol_11_40388) & $i(c_tptpcol_12_40420) & genls(c_tptpcol_12_40420, % 161.74/22.26 c_tptpcol_11_40388) % 161.74/22.26 % 161.74/22.26 (ax1_76) % 161.74/22.26 $i(c_tptpcol_9_40196) & $i(c_tptpcol_10_40324) & genls(c_tptpcol_10_40324, % 161.74/22.26 c_tptpcol_9_40196) % 161.74/22.26 % 161.74/22.26 (ax1_948) % 161.74/22.26 $i(c_tptpcol_9_40196) & ! [v0: $i] : ( ~ $i(v0) | ~ tptpcol_9_40196(v0) | % 161.74/22.26 isa(v0, c_tptpcol_9_40196)) % 161.74/22.26 % 161.74/22.26 (ax1_950) % 161.74/22.26 $i(c_tptpcol_10_40324) & ! [v0: $i] : ( ~ $i(v0) | ~ tptpcol_10_40324(v0) | % 161.74/22.26 isa(v0, c_tptpcol_10_40324)) % 161.74/22.26 % 161.74/22.26 (ax1_984) % 161.74/22.26 $i(c_tptpcol_11_40388) & ! [v0: $i] : ( ~ $i(v0) | ~ tptpcol_11_40388(v0) | % 161.74/22.26 isa(v0, c_tptpcol_11_40388)) % 161.74/22.26 % 161.74/22.26 (query102) % 161.88/22.29 $i(c_tptpcol_7_39939) & $i(c_translation_33) & % 161.88/22.29 $i(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml) % 161.88/22.29 & $i(c_tptpcol_15_40430) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 161.88/22.29 (f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml) % 161.88/22.29 = v0 & f_urlreferentfn(v0) = v1 & f_contentmtofcdafromeventfn(v1, % 161.88/22.29 c_translation_33) = v2 & $i(v2) & $i(v1) & $i(v0) & mtvisible(v2) & ~ % 161.88/22.29 genls(c_tptpcol_15_40430, c_tptpcol_7_39939)) % 161.88/22.29 % 161.88/22.29 Further assumptions not needed in the proof: % 161.88/22.29 -------------------------------------------- % 161.88/22.29 ax1_1, ax1_10, ax1_100, ax1_1000, ax1_1001, ax1_1002, ax1_1003, ax1_1004, % 161.88/22.29 ax1_1005, ax1_1006, ax1_1007, ax1_1008, ax1_1009, ax1_101, ax1_1010, ax1_1011, % 161.88/22.29 ax1_1012, ax1_1013, ax1_1014, ax1_1015, ax1_1016, ax1_1017, ax1_1018, ax1_1019, % 161.88/22.29 ax1_102, ax1_1020, ax1_1021, ax1_1022, ax1_1023, ax1_1024, ax1_1025, ax1_1026, % 161.88/22.29 ax1_1027, ax1_1028, ax1_1029, ax1_103, ax1_1030, ax1_1031, ax1_1032, ax1_1033, % 161.88/22.29 ax1_1034, ax1_1035, ax1_1036, ax1_1037, ax1_1038, ax1_1039, ax1_104, ax1_1040, % 161.88/22.29 ax1_1041, ax1_1042, ax1_1043, ax1_1045, ax1_1047, ax1_1048, ax1_1049, ax1_105, % 161.88/22.29 ax1_1050, ax1_1051, ax1_1052, ax1_1053, ax1_1054, ax1_1055, ax1_1056, ax1_1057, % 161.88/22.29 ax1_1058, ax1_1059, ax1_106, ax1_1060, ax1_1061, ax1_1062, ax1_1063, ax1_1064, % 161.88/22.29 ax1_1065, ax1_1066, ax1_1067, ax1_1068, ax1_1069, ax1_107, ax1_1070, ax1_1071, % 161.88/22.29 ax1_1072, ax1_1073, ax1_1074, ax1_1075, ax1_1076, ax1_1077, ax1_1078, ax1_1079, % 161.88/22.29 ax1_108, ax1_1080, ax1_1081, ax1_1082, ax1_1083, ax1_1084, ax1_1085, ax1_1086, % 161.88/22.29 ax1_1087, ax1_1088, ax1_1089, ax1_109, ax1_1090, ax1_1091, ax1_1092, ax1_1093, % 161.88/22.29 ax1_1094, ax1_1095, ax1_1096, ax1_1097, ax1_1098, ax1_1099, ax1_11, ax1_110, % 161.88/22.29 ax1_1100, ax1_1101, ax1_1103, ax1_1104, ax1_1105, ax1_1106, ax1_1107, ax1_1108, % 161.88/22.29 ax1_1109, ax1_111, ax1_1110, ax1_1111, ax1_1113, ax1_1114, ax1_1115, ax1_1116, % 161.88/22.29 ax1_1117, ax1_1118, ax1_1119, ax1_112, ax1_1120, ax1_1121, ax1_1122, ax1_1123, % 161.88/22.29 ax1_1124, ax1_1125, ax1_1126, ax1_1127, ax1_1128, ax1_1129, ax1_113, ax1_1130, % 161.88/22.29 ax1_1131, ax1_114, ax1_115, ax1_116, ax1_117, ax1_118, ax1_119, ax1_12, ax1_120, % 161.88/22.29 ax1_121, ax1_122, ax1_123, ax1_124, ax1_125, ax1_126, ax1_127, ax1_128, ax1_129, % 161.88/22.29 ax1_13, ax1_130, ax1_131, ax1_132, ax1_133, ax1_134, ax1_135, ax1_136, ax1_137, % 161.88/22.29 ax1_138, ax1_139, ax1_14, ax1_140, ax1_141, ax1_142, ax1_143, ax1_144, ax1_145, % 161.88/22.29 ax1_146, ax1_147, ax1_148, ax1_149, ax1_15, ax1_150, ax1_151, ax1_152, ax1_153, % 161.88/22.29 ax1_154, ax1_155, ax1_156, ax1_157, ax1_158, ax1_159, ax1_160, ax1_161, ax1_162, % 161.88/22.29 ax1_163, ax1_164, ax1_165, ax1_166, ax1_167, ax1_168, ax1_169, ax1_17, ax1_170, % 161.88/22.29 ax1_171, ax1_172, ax1_173, ax1_174, ax1_175, ax1_176, ax1_177, ax1_178, ax1_179, % 161.88/22.29 ax1_18, ax1_180, ax1_181, ax1_182, ax1_183, ax1_184, ax1_185, ax1_187, ax1_188, % 161.88/22.29 ax1_189, ax1_19, ax1_190, ax1_191, ax1_192, ax1_193, ax1_194, ax1_195, ax1_196, % 161.88/22.29 ax1_197, ax1_198, ax1_199, ax1_2, ax1_20, ax1_200, ax1_201, ax1_202, ax1_203, % 161.88/22.29 ax1_204, ax1_205, ax1_206, ax1_207, ax1_208, ax1_209, ax1_21, ax1_210, ax1_211, % 161.88/22.29 ax1_212, ax1_213, ax1_214, ax1_215, ax1_216, ax1_217, ax1_218, ax1_219, ax1_22, % 161.88/22.29 ax1_220, ax1_221, ax1_222, ax1_223, ax1_224, ax1_225, ax1_226, ax1_227, ax1_228, % 161.88/22.29 ax1_229, ax1_23, ax1_230, ax1_231, ax1_232, ax1_233, ax1_234, ax1_235, ax1_236, % 161.88/22.29 ax1_237, ax1_238, ax1_239, ax1_24, ax1_240, ax1_241, ax1_242, ax1_243, ax1_244, % 161.88/22.29 ax1_245, ax1_246, ax1_247, ax1_248, ax1_249, ax1_25, ax1_250, ax1_251, ax1_252, % 161.88/22.29 ax1_253, ax1_254, ax1_255, ax1_256, ax1_257, ax1_258, ax1_259, ax1_26, ax1_260, % 161.88/22.29 ax1_261, ax1_262, ax1_263, ax1_264, ax1_265, ax1_266, ax1_267, ax1_268, ax1_269, % 161.88/22.29 ax1_27, ax1_270, ax1_271, ax1_272, ax1_273, ax1_274, ax1_275, ax1_276, ax1_277, % 161.88/22.29 ax1_278, ax1_279, ax1_28, ax1_280, ax1_281, ax1_282, ax1_283, ax1_284, ax1_285, % 161.88/22.29 ax1_286, ax1_287, ax1_288, ax1_289, ax1_29, ax1_290, ax1_291, ax1_292, ax1_293, % 161.88/22.29 ax1_294, ax1_295, ax1_296, ax1_297, ax1_298, ax1_299, ax1_3, ax1_30, ax1_300, % 161.88/22.29 ax1_301, ax1_302, ax1_303, ax1_304, ax1_305, ax1_306, ax1_307, ax1_308, ax1_309, % 161.88/22.29 ax1_31, ax1_310, ax1_311, ax1_312, ax1_313, ax1_314, ax1_315, ax1_316, ax1_317, % 161.88/22.29 ax1_318, ax1_319, ax1_32, ax1_320, ax1_321, ax1_322, ax1_323, ax1_324, ax1_325, % 161.88/22.29 ax1_326, ax1_327, ax1_328, ax1_329, ax1_33, ax1_330, ax1_331, ax1_332, ax1_333, % 161.88/22.29 ax1_334, ax1_335, ax1_336, ax1_337, ax1_338, ax1_339, ax1_34, ax1_340, ax1_341, % 161.88/22.29 ax1_342, ax1_343, ax1_344, ax1_345, ax1_346, ax1_347, ax1_348, ax1_349, ax1_35, % 161.88/22.29 ax1_350, ax1_351, ax1_352, ax1_353, ax1_354, ax1_355, ax1_356, ax1_357, ax1_358, % 161.88/22.29 ax1_359, ax1_36, ax1_360, ax1_361, ax1_362, ax1_363, ax1_364, ax1_365, ax1_366, % 161.88/22.29 ax1_367, ax1_368, ax1_369, ax1_37, ax1_370, ax1_371, ax1_372, ax1_373, ax1_374, % 161.88/22.29 ax1_375, ax1_376, ax1_377, ax1_378, ax1_379, ax1_38, ax1_380, ax1_381, ax1_382, % 161.88/22.29 ax1_383, ax1_384, ax1_385, ax1_386, ax1_387, ax1_388, ax1_389, ax1_39, ax1_390, % 161.88/22.29 ax1_391, ax1_392, ax1_393, ax1_394, ax1_395, ax1_396, ax1_397, ax1_398, ax1_399, % 161.88/22.29 ax1_40, ax1_400, ax1_401, ax1_402, ax1_403, ax1_404, ax1_405, ax1_406, ax1_407, % 161.88/22.29 ax1_408, ax1_409, ax1_41, ax1_410, ax1_411, ax1_412, ax1_413, ax1_414, ax1_415, % 161.88/22.29 ax1_416, ax1_417, ax1_418, ax1_419, ax1_42, ax1_420, ax1_421, ax1_422, ax1_423, % 161.88/22.29 ax1_425, ax1_426, ax1_427, ax1_428, ax1_429, ax1_43, ax1_430, ax1_431, ax1_432, % 161.88/22.29 ax1_433, ax1_434, ax1_435, ax1_436, ax1_437, ax1_439, ax1_44, ax1_440, ax1_441, % 161.88/22.29 ax1_442, ax1_443, ax1_444, ax1_445, ax1_446, ax1_447, ax1_448, ax1_449, ax1_45, % 161.88/22.29 ax1_450, ax1_451, ax1_452, ax1_453, ax1_454, ax1_455, ax1_456, ax1_457, ax1_458, % 161.88/22.29 ax1_459, ax1_46, ax1_460, ax1_461, ax1_462, ax1_463, ax1_464, ax1_465, ax1_466, % 161.88/22.29 ax1_467, ax1_468, ax1_469, ax1_47, ax1_471, ax1_472, ax1_473, ax1_474, ax1_475, % 161.88/22.29 ax1_476, ax1_477, ax1_478, ax1_479, ax1_48, ax1_480, ax1_481, ax1_482, ax1_483, % 161.88/22.29 ax1_484, ax1_485, ax1_486, ax1_487, ax1_488, ax1_489, ax1_49, ax1_490, ax1_491, % 161.88/22.29 ax1_492, ax1_493, ax1_494, ax1_495, ax1_496, ax1_497, ax1_498, ax1_499, ax1_5, % 161.88/22.29 ax1_50, ax1_500, ax1_501, ax1_502, ax1_503, ax1_504, ax1_505, ax1_506, ax1_507, % 161.88/22.29 ax1_508, ax1_509, ax1_51, ax1_510, ax1_511, ax1_512, ax1_513, ax1_514, ax1_515, % 161.88/22.29 ax1_516, ax1_517, ax1_518, ax1_519, ax1_52, ax1_520, ax1_521, ax1_522, ax1_523, % 161.88/22.29 ax1_524, ax1_525, ax1_526, ax1_527, ax1_528, ax1_529, ax1_53, ax1_530, ax1_531, % 161.88/22.29 ax1_532, ax1_533, ax1_534, ax1_535, ax1_537, ax1_538, ax1_539, ax1_540, ax1_541, % 161.88/22.29 ax1_542, ax1_543, ax1_544, ax1_545, ax1_546, ax1_547, ax1_548, ax1_549, ax1_55, % 161.88/22.29 ax1_550, ax1_551, ax1_552, ax1_553, ax1_554, ax1_555, ax1_556, ax1_557, ax1_558, % 161.88/22.29 ax1_559, ax1_56, ax1_560, ax1_561, ax1_562, ax1_563, ax1_564, ax1_565, ax1_566, % 161.88/22.29 ax1_567, ax1_568, ax1_569, ax1_57, ax1_570, ax1_571, ax1_572, ax1_573, ax1_574, % 161.88/22.29 ax1_575, ax1_576, ax1_577, ax1_578, ax1_579, ax1_58, ax1_580, ax1_581, ax1_582, % 161.88/22.29 ax1_583, ax1_584, ax1_585, ax1_586, ax1_587, ax1_588, ax1_589, ax1_59, ax1_590, % 161.88/22.29 ax1_591, ax1_592, ax1_593, ax1_594, ax1_595, ax1_596, ax1_597, ax1_598, ax1_599, % 161.88/22.29 ax1_6, ax1_60, ax1_600, ax1_601, ax1_602, ax1_603, ax1_604, ax1_605, ax1_606, % 161.88/22.29 ax1_607, ax1_608, ax1_609, ax1_61, ax1_610, ax1_611, ax1_612, ax1_613, ax1_614, % 161.88/22.29 ax1_615, ax1_616, ax1_617, ax1_618, ax1_619, ax1_62, ax1_620, ax1_621, ax1_622, % 161.88/22.29 ax1_623, ax1_624, ax1_625, ax1_626, ax1_627, ax1_628, ax1_629, ax1_63, ax1_630, % 161.88/22.29 ax1_631, ax1_632, ax1_633, ax1_634, ax1_635, ax1_636, ax1_637, ax1_638, ax1_639, % 161.88/22.29 ax1_64, ax1_640, ax1_641, ax1_642, ax1_643, ax1_644, ax1_645, ax1_646, ax1_647, % 161.88/22.29 ax1_648, ax1_649, ax1_65, ax1_650, ax1_651, ax1_652, ax1_653, ax1_654, ax1_655, % 161.88/22.29 ax1_656, ax1_657, ax1_658, ax1_659, ax1_66, ax1_660, ax1_661, ax1_662, ax1_663, % 161.88/22.29 ax1_664, ax1_665, ax1_666, ax1_667, ax1_668, ax1_669, ax1_67, ax1_670, ax1_671, % 161.88/22.29 ax1_672, ax1_673, ax1_674, ax1_675, ax1_676, ax1_677, ax1_678, ax1_679, ax1_68, % 161.88/22.29 ax1_680, ax1_681, ax1_682, ax1_683, ax1_684, ax1_685, ax1_686, ax1_687, ax1_688, % 161.88/22.29 ax1_689, ax1_69, ax1_690, ax1_691, ax1_692, ax1_693, ax1_694, ax1_695, ax1_696, % 161.88/22.29 ax1_697, ax1_698, ax1_699, ax1_7, ax1_70, ax1_700, ax1_701, ax1_702, ax1_703, % 161.88/22.29 ax1_704, ax1_705, ax1_706, ax1_707, ax1_708, ax1_709, ax1_71, ax1_710, ax1_711, % 161.88/22.29 ax1_712, ax1_713, ax1_714, ax1_715, ax1_716, ax1_717, ax1_718, ax1_719, ax1_72, % 161.88/22.29 ax1_720, ax1_721, ax1_722, ax1_723, ax1_724, ax1_725, ax1_726, ax1_727, ax1_728, % 161.88/22.29 ax1_729, ax1_73, ax1_730, ax1_731, ax1_732, ax1_733, ax1_734, ax1_735, ax1_736, % 161.88/22.29 ax1_737, ax1_738, ax1_739, ax1_74, ax1_740, ax1_741, ax1_742, ax1_743, ax1_744, % 161.88/22.29 ax1_745, ax1_746, ax1_747, ax1_748, ax1_749, ax1_75, ax1_750, ax1_751, ax1_752, % 161.88/22.29 ax1_753, ax1_754, ax1_755, ax1_756, ax1_757, ax1_758, ax1_759, ax1_760, ax1_761, % 161.88/22.29 ax1_762, ax1_763, ax1_764, ax1_765, ax1_766, ax1_767, ax1_768, ax1_769, ax1_77, % 161.88/22.29 ax1_770, ax1_771, ax1_772, ax1_773, ax1_774, ax1_775, ax1_776, ax1_777, ax1_778, % 161.88/22.29 ax1_779, ax1_78, ax1_780, ax1_781, ax1_782, ax1_783, ax1_784, ax1_785, ax1_786, % 161.88/22.29 ax1_787, ax1_788, ax1_789, ax1_79, ax1_790, ax1_791, ax1_792, ax1_793, ax1_794, % 161.88/22.29 ax1_795, ax1_796, ax1_797, ax1_798, ax1_799, ax1_8, ax1_80, ax1_800, ax1_801, % 161.88/22.29 ax1_802, ax1_803, ax1_804, ax1_805, ax1_806, ax1_807, ax1_808, ax1_809, ax1_81, % 161.88/22.29 ax1_810, ax1_811, ax1_812, ax1_813, ax1_814, ax1_815, ax1_816, ax1_817, ax1_818, % 161.88/22.29 ax1_819, ax1_82, ax1_820, ax1_821, ax1_822, ax1_823, ax1_824, ax1_825, ax1_826, % 161.88/22.29 ax1_827, ax1_828, ax1_829, ax1_83, ax1_830, ax1_831, ax1_832, ax1_833, ax1_834, % 161.88/22.29 ax1_835, ax1_836, ax1_837, ax1_838, ax1_839, ax1_84, ax1_840, ax1_841, ax1_842, % 161.88/22.29 ax1_843, ax1_844, ax1_845, ax1_846, ax1_847, ax1_848, ax1_849, ax1_85, ax1_850, % 161.88/22.29 ax1_851, ax1_852, ax1_853, ax1_854, ax1_855, ax1_856, ax1_857, ax1_858, ax1_859, % 161.88/22.29 ax1_86, ax1_860, ax1_861, ax1_862, ax1_863, ax1_864, ax1_865, ax1_866, ax1_867, % 161.88/22.29 ax1_868, ax1_869, ax1_87, ax1_870, ax1_871, ax1_872, ax1_873, ax1_874, ax1_875, % 161.88/22.29 ax1_876, ax1_877, ax1_878, ax1_879, ax1_88, ax1_880, ax1_881, ax1_882, ax1_883, % 161.88/22.29 ax1_884, ax1_885, ax1_886, ax1_887, ax1_888, ax1_889, ax1_89, ax1_890, ax1_891, % 161.88/22.29 ax1_892, ax1_893, ax1_894, ax1_895, ax1_896, ax1_897, ax1_898, ax1_899, ax1_9, % 161.88/22.29 ax1_90, ax1_900, ax1_901, ax1_902, ax1_903, ax1_904, ax1_905, ax1_906, ax1_907, % 161.88/22.29 ax1_908, ax1_909, ax1_91, ax1_910, ax1_911, ax1_912, ax1_913, ax1_914, ax1_915, % 161.88/22.29 ax1_916, ax1_917, ax1_918, ax1_919, ax1_92, ax1_920, ax1_921, ax1_922, ax1_923, % 161.88/22.29 ax1_924, ax1_925, ax1_926, ax1_927, ax1_928, ax1_929, ax1_93, ax1_930, ax1_931, % 161.88/22.29 ax1_932, ax1_933, ax1_934, ax1_935, ax1_936, ax1_937, ax1_938, ax1_939, ax1_94, % 161.88/22.29 ax1_940, ax1_941, ax1_942, ax1_943, ax1_944, ax1_945, ax1_946, ax1_947, ax1_949, % 161.88/22.29 ax1_95, ax1_951, ax1_952, ax1_953, ax1_954, ax1_955, ax1_956, ax1_957, ax1_958, % 161.88/22.29 ax1_959, ax1_96, ax1_960, ax1_961, ax1_962, ax1_963, ax1_964, ax1_965, ax1_966, % 161.88/22.29 ax1_967, ax1_968, ax1_969, ax1_97, ax1_970, ax1_971, ax1_972, ax1_973, ax1_974, % 161.88/22.29 ax1_975, ax1_976, ax1_977, ax1_978, ax1_979, ax1_98, ax1_980, ax1_981, ax1_982, % 161.88/22.29 ax1_983, ax1_985, ax1_986, ax1_987, ax1_988, ax1_989, ax1_99, ax1_990, ax1_991, % 161.88/22.29 ax1_992, ax1_993, ax1_994, ax1_995, ax1_996, ax1_997, ax1_998, ax1_999 % 161.88/22.29 % 161.88/22.29 Those formulas are unsatisfiable: % 161.88/22.29 --------------------------------- % 161.88/22.29 % 161.88/22.29 Begin of proof % 161.88/22.29 | % 161.88/22.29 | ALPHA: (ax1_4) implies: % 161.88/22.29 | (1) genls(c_tptpcol_15_40430, c_tptpcol_14_40429) % 161.88/22.29 | % 161.88/22.29 | ALPHA: (ax1_16) implies: % 161.88/22.29 | (2) genls(c_tptpcol_13_40421, c_tptpcol_12_40420) % 161.88/22.29 | % 161.88/22.29 | ALPHA: (ax1_54) implies: % 161.88/22.29 | (3) genls(c_tptpcol_12_40420, c_tptpcol_11_40388) % 161.88/22.29 | % 161.88/22.29 | ALPHA: (ax1_76) implies: % 161.88/22.29 | (4) genls(c_tptpcol_10_40324, c_tptpcol_9_40196) % 161.88/22.29 | % 161.88/22.29 | ALPHA: (ax1_186) implies: % 161.88/22.29 | (5) genls(c_tptpcol_14_40429, c_tptpcol_13_40421) % 161.88/22.29 | % 161.88/22.29 | ALPHA: (ax1_424) implies: % 161.88/22.29 | (6) genls(c_tptpcol_11_40388, c_tptpcol_10_40324) % 161.88/22.29 | % 161.88/22.29 | ALPHA: (ax1_438) implies: % 161.88/22.29 | (7) genls(c_tptpcol_8_39940, c_tptpcol_7_39939) % 161.88/22.29 | % 161.88/22.29 | ALPHA: (ax1_470) implies: % 161.88/22.29 | (8) genls(c_tptpcol_9_40196, c_tptpcol_8_39940) % 161.88/22.30 | % 161.88/22.30 | ALPHA: (ax1_536) implies: % 161.88/22.30 | (9) $i(c_tptpcol_8_39940) % 161.88/22.30 | % 161.88/22.30 | ALPHA: (ax1_948) implies: % 161.88/22.30 | (10) $i(c_tptpcol_9_40196) % 161.88/22.30 | % 161.88/22.30 | ALPHA: (ax1_950) implies: % 161.88/22.30 | (11) $i(c_tptpcol_10_40324) % 161.88/22.30 | % 161.88/22.30 | ALPHA: (ax1_984) implies: % 161.88/22.30 | (12) $i(c_tptpcol_11_40388) % 161.88/22.30 | % 161.88/22.30 | ALPHA: (ax1_1044) implies: % 161.88/22.30 | (13) $i(c_tptpcol_12_40420) % 161.88/22.30 | % 161.88/22.30 | ALPHA: (ax1_1046) implies: % 161.88/22.30 | (14) $i(c_tptpcol_13_40421) % 161.88/22.30 | % 161.88/22.30 | ALPHA: (ax1_1102) implies: % 161.88/22.30 | (15) $i(c_tptpcol_14_40429) % 161.88/22.30 | % 161.88/22.30 | ALPHA: (query102) implies: % 161.88/22.30 | (16) $i(c_tptpcol_15_40430) % 161.88/22.30 | (17) $i(c_tptpcol_7_39939) % 161.88/22.30 | (18) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 161.88/22.30 | (f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml) % 161.88/22.30 | = v0 & f_urlreferentfn(v0) = v1 & f_contentmtofcdafromeventfn(v1, % 161.88/22.30 | c_translation_33) = v2 & $i(v2) & $i(v1) & $i(v0) & mtvisible(v2) % 161.88/22.30 | & ~ genls(c_tptpcol_15_40430, c_tptpcol_7_39939)) % 161.88/22.30 | % 161.88/22.30 | DELTA: instantiating (18) with fresh symbols all_899_0, all_899_1, all_899_2 % 161.88/22.30 | gives: % 161.88/22.30 | (19) f_urlfn(s_http_ukencartamsncomencyclopedia_761573010_4united_states_of_americahtml) % 161.88/22.30 | = all_899_2 & f_urlreferentfn(all_899_2) = all_899_1 & % 161.88/22.30 | f_contentmtofcdafromeventfn(all_899_1, c_translation_33) = all_899_0 & % 161.88/22.30 | $i(all_899_0) & $i(all_899_1) & $i(all_899_2) & mtvisible(all_899_0) & % 161.88/22.30 | ~ genls(c_tptpcol_15_40430, c_tptpcol_7_39939) % 161.88/22.30 | % 161.88/22.30 | ALPHA: (19) implies: % 161.88/22.30 | (20) ~ genls(c_tptpcol_15_40430, c_tptpcol_7_39939) % 161.88/22.30 | % 161.88/22.30 | GROUND_INST: instantiating (ax1_1112) with c_tptpcol_14_40429, % 161.88/22.30 | c_tptpcol_13_40421, c_tptpcol_15_40430, simplifying with (1), % 161.88/22.30 | (5), (14), (15), (16) gives: % 161.88/22.30 | (21) genls(c_tptpcol_15_40430, c_tptpcol_13_40421) % 161.88/22.30 | % 161.88/22.30 | GROUND_INST: instantiating (ax1_1112) with c_tptpcol_12_40420, % 161.88/22.30 | c_tptpcol_11_40388, c_tptpcol_13_40421, simplifying with (2), % 161.88/22.30 | (3), (12), (13), (14) gives: % 161.88/22.30 | (22) genls(c_tptpcol_13_40421, c_tptpcol_11_40388) % 161.88/22.30 | % 161.88/22.30 | GROUND_INST: instantiating (ax1_1112) with c_tptpcol_10_40324, % 161.88/22.30 | c_tptpcol_9_40196, c_tptpcol_11_40388, simplifying with (4), (6), % 161.88/22.30 | (10), (11), (12) gives: % 161.88/22.30 | (23) genls(c_tptpcol_11_40388, c_tptpcol_9_40196) % 161.88/22.30 | % 161.88/22.30 | GROUND_INST: instantiating (ax1_1112) with c_tptpcol_8_39940, % 161.88/22.30 | c_tptpcol_7_39939, c_tptpcol_9_40196, simplifying with (7), (8), % 161.88/22.30 | (9), (10), (17) gives: % 161.88/22.30 | (24) genls(c_tptpcol_9_40196, c_tptpcol_7_39939) % 161.88/22.30 | % 161.88/22.30 | GROUND_INST: instantiating (ax1_1112) with c_tptpcol_13_40421, % 161.88/22.30 | c_tptpcol_11_40388, c_tptpcol_15_40430, simplifying with (12), % 161.88/22.30 | (14), (16), (21), (22) gives: % 161.88/22.30 | (25) genls(c_tptpcol_15_40430, c_tptpcol_11_40388) % 161.88/22.30 | % 161.88/22.30 | GROUND_INST: instantiating (ax1_1112) with c_tptpcol_9_40196, % 161.88/22.31 | c_tptpcol_7_39939, c_tptpcol_11_40388, simplifying with (10), % 161.88/22.31 | (12), (17), (23), (24) gives: % 161.88/22.31 | (26) genls(c_tptpcol_11_40388, c_tptpcol_7_39939) % 161.88/22.31 | % 161.88/22.31 | GROUND_INST: instantiating (ax1_1112) with c_tptpcol_11_40388, % 161.88/22.31 | c_tptpcol_7_39939, c_tptpcol_15_40430, simplifying with (12), % 161.88/22.31 | (16), (17), (20), (25), (26) gives: % 161.88/22.31 | (27) $false % 161.88/22.31 | % 161.88/22.31 | CLOSE: (27) is inconsistent. % 161.88/22.31 | % 161.88/22.31 End of proof % 161.88/22.31 % SZS output end Proof for theBenchmark % 161.88/22.31 % 161.88/22.31 21716ms %------------------------------------------------------------------------------