TSTP Solution File: NUM530+1 by Goeland---1.0.0
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%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : NUM530+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n023.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 : Sun Sep 18 10:19:24 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM530+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : goeland -dmt -presko -proof %s
% 0.14/0.34 % Computer : n023.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 : Fri Sep 2 11:52:33 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 [DMT] DMT loaded with preskolemization
% 0.14/0.35 [EQ] equality loaded.
% 0.14/0.35 [0.000039s][1][MAIN] Problem : theBenchmark.p
% 0.14/0.36 Start search
% 0.14/0.36 nb_step : 1 - limit : 47
% 0.14/0.36 Launch Gotab with destructive = true
% 0.20/0.45 % SZS output start Proof for theBenchmark.p
% 0.20/0.46 [0] ALPHA_AND : (! [W03_3] : ((aNaturalNumber0(W03_3) => $true)) & aNaturalNumber0(sz00) & (aNaturalNumber0(sz10) & ~=(sz10, sz00)) & ! [W04_4, W15_5] : (((aNaturalNumber0(W04_4) & aNaturalNumber0(W15_5)) => aNaturalNumber0(sdtpldt0(W04_4, W15_5)))) & ! [W06_6, W17_7] : (((aNaturalNumber0(W06_6) & aNaturalNumber0(W17_7)) => aNaturalNumber0(sdtasdt0(W06_6, W17_7)))) & ! [W08_8, W19_9] : (((aNaturalNumber0(W08_8) & aNaturalNumber0(W19_9)) => =(sdtpldt0(W08_8, W19_9), sdtpldt0(W19_9, W08_8)))) & ! [W010_10, W111_11, W212_12] : ((((aNaturalNumber0(W010_10) & aNaturalNumber0(W111_11)) & aNaturalNumber0(W212_12)) => =(sdtpldt0(sdtpldt0(W010_10, W111_11), W212_12), sdtpldt0(W010_10, sdtpldt0(W111_11, W212_12))))) & ! [W013_13] : ((aNaturalNumber0(W013_13) => (=(sdtpldt0(W013_13, sz00), W013_13) & =(W013_13, sdtpldt0(sz00, W013_13))))) & ! [W014_14, W115_15] : (((aNaturalNumber0(W014_14) & aNaturalNumber0(W115_15)) => =(sdtasdt0(W014_14, W115_15), sdtasdt0(W115_15, W014_14)))) & ! [W016_16, W117_17, W218_18] : ((((aNaturalNumber0(W016_16) & aNaturalNumber0(W117_17)) & aNaturalNumber0(W218_18)) => =(sdtasdt0(sdtasdt0(W016_16, W117_17), W218_18), sdtasdt0(W016_16, sdtasdt0(W117_17, W218_18))))) & ! [W019_19] : ((aNaturalNumber0(W019_19) => (=(sdtasdt0(W019_19, sz10), W019_19) & =(W019_19, sdtasdt0(sz10, W019_19))))) & ! [W020_20] : ((aNaturalNumber0(W020_20) => (=(sdtasdt0(W020_20, sz00), sz00) & =(sz00, sdtasdt0(sz00, W020_20))))) & ! [W021_21, W122_22, W223_23] : ((((aNaturalNumber0(W021_21) & aNaturalNumber0(W122_22)) & aNaturalNumber0(W223_23)) => (=(sdtasdt0(W021_21, sdtpldt0(W122_22, W223_23)), sdtpldt0(sdtasdt0(W021_21, W122_22), sdtasdt0(W021_21, W223_23))) & =(sdtasdt0(sdtpldt0(W122_22, W223_23), W021_21), sdtpldt0(sdtasdt0(W122_22, W021_21), sdtasdt0(W223_23, W021_21)))))) & ! [W024_24, W125_25, W226_26] : ((((aNaturalNumber0(W024_24) & aNaturalNumber0(W125_25)) & aNaturalNumber0(W226_26)) => ((=(sdtpldt0(W024_24, W125_25), sdtpldt0(W024_24, W226_26)) | =(sdtpldt0(W125_25, W024_24), sdtpldt0(W226_26, W024_24))) => =(W125_25, W226_26)))) & ! [W027_27] : ((aNaturalNumber0(W027_27) => (~=(W027_27, sz00) => ! [W128_28, W229_29] : (((aNaturalNumber0(W128_28) & aNaturalNumber0(W229_29)) => ((=(sdtasdt0(W027_27, W128_28), sdtasdt0(W027_27, W229_29)) | =(sdtasdt0(W128_28, W027_27), sdtasdt0(W229_29, W027_27))) => =(W128_28, W229_29))))))) & ! [W030_30, W131_31] : (((aNaturalNumber0(W030_30) & aNaturalNumber0(W131_31)) => (=(sdtpldt0(W030_30, W131_31), sz00) => (=(W030_30, sz00) & =(W131_31, sz00))))) & ! [W032_32, W133_33] : (((aNaturalNumber0(W032_32) & aNaturalNumber0(W133_33)) => (=(sdtasdt0(W032_32, W133_33), sz00) => (=(W032_32, sz00) | =(W133_33, sz00))))) & ! [W034_34, W135_35] : (((aNaturalNumber0(W034_34) & aNaturalNumber0(W135_35)) => (sdtlseqdt0(W034_34, W135_35) <=> ? [W236_36] : ((aNaturalNumber0(W236_36) & =(sdtpldt0(W034_34, W236_36), W135_35)))))) & ! [W037_37, W138_38] : (((aNaturalNumber0(W037_37) & aNaturalNumber0(W138_38)) => (sdtlseqdt0(W037_37, W138_38) => ! [W239_39] : ((=(W239_39, sdtmndt0(W138_38, W037_37)) <=> (aNaturalNumber0(W239_39) & =(sdtpldt0(W037_37, W239_39), W138_38))))))) & ! [W040_40] : ((aNaturalNumber0(W040_40) => sdtlseqdt0(W040_40, W040_40))) & ! [W041_41, W142_42] : (((aNaturalNumber0(W041_41) & aNaturalNumber0(W142_42)) => ((sdtlseqdt0(W041_41, W142_42) & sdtlseqdt0(W142_42, W041_41)) => =(W041_41, W142_42)))) & ! [W043_43, W144_44, W245_45] : ((((aNaturalNumber0(W043_43) & aNaturalNumber0(W144_44)) & aNaturalNumber0(W245_45)) => ((sdtlseqdt0(W043_43, W144_44) & sdtlseqdt0(W144_44, W245_45)) => sdtlseqdt0(W043_43, W245_45)))) & ! [W046_46, W147_47] : (((aNaturalNumber0(W046_46) & aNaturalNumber0(W147_47)) => (sdtlseqdt0(W046_46, W147_47) | (~=(W147_47, W046_46) & sdtlseqdt0(W147_47, W046_46))))) & ! [W048_48, W149_49] : (((aNaturalNumber0(W048_48) & aNaturalNumber0(W149_49)) => ((~=(W048_48, W149_49) & sdtlseqdt0(W048_48, W149_49)) => ! [W250_50] : ((aNaturalNumber0(W250_50) => (((~=(sdtpldt0(W250_50, W048_48), sdtpldt0(W250_50, W149_49)) & sdtlseqdt0(sdtpldt0(W250_50, W048_48), sdtpldt0(W250_50, W149_49))) & ~=(sdtpldt0(W048_48, W250_50), sdtpldt0(W149_49, W250_50))) & sdtlseqdt0(sdtpldt0(W048_48, W250_50), sdtpldt0(W149_49, W250_50)))))))) & ! [W051_51, W152_52, W253_53] : ((((aNaturalNumber0(W051_51) & aNaturalNumber0(W152_52)) & aNaturalNumber0(W253_53)) => (((~=(W051_51, sz00) & ~=(W152_52, W253_53)) & sdtlseqdt0(W152_52, W253_53)) => (((~=(sdtasdt0(W051_51, W152_52), sdtasdt0(W051_51, W253_53)) & sdtlseqdt0(sdtasdt0(W051_51, W152_52), sdtasdt0(W051_51, W253_53))) & ~=(sdtasdt0(W152_52, W051_51), sdtasdt0(W253_53, W051_51))) & sdtlseqdt0(sdtasdt0(W152_52, W051_51), sdtasdt0(W253_53, W051_51)))))) & ! [W054_54] : ((aNaturalNumber0(W054_54) => ((=(W054_54, sz00) | =(W054_54, sz10)) | (~=(sz10, W054_54) & sdtlseqdt0(sz10, W054_54))))) & ! [W055_55, W156_56] : (((aNaturalNumber0(W055_55) & aNaturalNumber0(W156_56)) => (~=(W055_55, sz00) => sdtlseqdt0(W156_56, sdtasdt0(W156_56, W055_55))))) & ! [W057_57, W158_58] : (((aNaturalNumber0(W057_57) & aNaturalNumber0(W158_58)) => (iLess0(W057_57, W158_58) => $true))) & ! [W059_59, W160_60] : (((aNaturalNumber0(W059_59) & aNaturalNumber0(W160_60)) => ((~=(W059_59, W160_60) & sdtlseqdt0(W059_59, W160_60)) => iLess0(W059_59, W160_60)))) & ! [W061_61, W162_62] : (((aNaturalNumber0(W061_61) & aNaturalNumber0(W162_62)) => (doDivides0(W061_61, W162_62) <=> ? [W263_63] : ((aNaturalNumber0(W263_63) & =(W162_62, sdtasdt0(W061_61, W263_63))))))) & ! [W064_64, W165_65] : (((aNaturalNumber0(W064_64) & aNaturalNumber0(W165_65)) => ((~=(W064_64, sz00) & doDivides0(W064_64, W165_65)) => ! [W266_66] : ((=(W266_66, sdtsldt0(W165_65, W064_64)) <=> (aNaturalNumber0(W266_66) & =(W165_65, sdtasdt0(W064_64, W266_66)))))))) & ! [W067_67, W168_68, W269_69] : ((((aNaturalNumber0(W067_67) & aNaturalNumber0(W168_68)) & aNaturalNumber0(W269_69)) => ((doDivides0(W067_67, W168_68) & doDivides0(W168_68, W269_69)) => doDivides0(W067_67, W269_69)))) & ! [W070_70, W171_71, W272_72] : ((((aNaturalNumber0(W070_70) & aNaturalNumber0(W171_71)) & aNaturalNumber0(W272_72)) => ((doDivides0(W070_70, W171_71) & doDivides0(W070_70, W272_72)) => doDivides0(W070_70, sdtpldt0(W171_71, W272_72))))) & ! [W073_73, W174_74, W275_75] : ((((aNaturalNumber0(W073_73) & aNaturalNumber0(W174_74)) & aNaturalNumber0(W275_75)) => ((doDivides0(W073_73, W174_74) & doDivides0(W073_73, sdtpldt0(W174_74, W275_75))) => doDivides0(W073_73, W275_75)))) & ! [W076_76, W177_77] : (((aNaturalNumber0(W076_76) & aNaturalNumber0(W177_77)) => ((doDivides0(W076_76, W177_77) & ~=(W177_77, sz00)) => sdtlseqdt0(W076_76, W177_77)))) & ! [W078_78, W179_79] : (((aNaturalNumber0(W078_78) & aNaturalNumber0(W179_79)) => ((~=(W078_78, sz00) & doDivides0(W078_78, W179_79)) => ! [W280_80] : ((aNaturalNumber0(W280_80) => =(sdtasdt0(W280_80, sdtsldt0(W179_79, W078_78)), sdtsldt0(sdtasdt0(W280_80, W179_79), W078_78))))))) & ! [W081_81] : ((aNaturalNumber0(W081_81) => (isPrime0(W081_81) <=> ((~=(W081_81, sz00) & ~=(W081_81, sz10)) & ! [W182_82] : (((aNaturalNumber0(W182_82) & doDivides0(W182_82, W081_81)) => (=(W182_82, sz10) | =(W182_82, W081_81)))))))) & ! [W083_83] : ((((aNaturalNumber0(W083_83) & ~=(W083_83, sz00)) & ~=(W083_83, sz10)) => ? [W184_84] : (((aNaturalNumber0(W184_84) & doDivides0(W184_84, W083_83)) & isPrime0(W184_84))))) & ! [W085_85, W186_86, W287_87] : ((((aNaturalNumber0(W085_85) & aNaturalNumber0(W186_86)) & aNaturalNumber0(W287_87)) => ((isPrime0(W287_87) & doDivides0(W287_87, sdtasdt0(W085_85, W186_86))) => (doDivides0(W287_87, W085_85) | doDivides0(W287_87, W186_86))))) & (((((aNaturalNumber0(xn) & aNaturalNumber0(xm)) & aNaturalNumber0(xp)) & ~=(xn, sz00)) & ~=(xm, sz00)) & ~=(xp, sz00)) & ! [W088_88, W189_89, W290_90] : (((((((aNaturalNumber0(W088_88) & aNaturalNumber0(W189_89)) & aNaturalNumber0(W290_90)) & ~=(W088_88, sz00)) & ~=(W189_89, sz00)) & ~=(W290_90, sz00)) => (=(sdtasdt0(W290_90, sdtasdt0(W189_89, W189_89)), sdtasdt0(W088_88, W088_88)) => (iLess0(W088_88, xn) => ~isPrime0(W290_90))))) & =(sdtasdt0(xp, sdtasdt0(xm, xm)), sdtasdt0(xn, xn)) & isPrime0(xp) & (doDivides0(xp, sdtasdt0(xn, xn)) & doDivides0(xp, xn)) & =(xq, sdtsldt0(xn, xp)) & =(sdtasdt0(xm, xm), sdtasdt0(xp, sdtasdt0(xq, xq))) & (~=(xm, xn) & sdtlseqdt0(xm, xn)) & ~isPrime0(xp) & ~$false)
% 0.20/0.46 -> [1] ! [W03_3] : ((aNaturalNumber0(W03_3) => $true)), aNaturalNumber0(sz00), (aNaturalNumber0(sz10) & ~=(sz10, sz00)), ! [W04_4, W15_5] : (((aNaturalNumber0(W04_4) & aNaturalNumber0(W15_5)) => aNaturalNumber0(sdtpldt0(W04_4, W15_5)))), ! [W06_6, W17_7] : (((aNaturalNumber0(W06_6) & aNaturalNumber0(W17_7)) => aNaturalNumber0(sdtasdt0(W06_6, W17_7)))), ! [W08_8, W19_9] : (((aNaturalNumber0(W08_8) & aNaturalNumber0(W19_9)) => =(sdtpldt0(W08_8, W19_9), sdtpldt0(W19_9, W08_8)))), ! [W010_10, W111_11, W212_12] : ((((aNaturalNumber0(W010_10) & aNaturalNumber0(W111_11)) & aNaturalNumber0(W212_12)) => =(sdtpldt0(sdtpldt0(W010_10, W111_11), W212_12), sdtpldt0(W010_10, sdtpldt0(W111_11, W212_12))))), ! [W013_13] : ((aNaturalNumber0(W013_13) => (=(sdtpldt0(W013_13, sz00), W013_13) & =(W013_13, sdtpldt0(sz00, W013_13))))), ! [W014_14, W115_15] : (((aNaturalNumber0(W014_14) & aNaturalNumber0(W115_15)) => =(sdtasdt0(W014_14, W115_15), sdtasdt0(W115_15, W014_14)))), ! [W016_16, W117_17, W218_18] : ((((aNaturalNumber0(W016_16) & aNaturalNumber0(W117_17)) & aNaturalNumber0(W218_18)) => =(sdtasdt0(sdtasdt0(W016_16, W117_17), W218_18), sdtasdt0(W016_16, sdtasdt0(W117_17, W218_18))))), ! [W019_19] : ((aNaturalNumber0(W019_19) => (=(sdtasdt0(W019_19, sz10), W019_19) & =(W019_19, sdtasdt0(sz10, W019_19))))), ! [W020_20] : ((aNaturalNumber0(W020_20) => (=(sdtasdt0(W020_20, sz00), sz00) & =(sz00, sdtasdt0(sz00, W020_20))))), ! [W021_21, W122_22, W223_23] : ((((aNaturalNumber0(W021_21) & aNaturalNumber0(W122_22)) & aNaturalNumber0(W223_23)) => (=(sdtasdt0(W021_21, sdtpldt0(W122_22, W223_23)), sdtpldt0(sdtasdt0(W021_21, W122_22), sdtasdt0(W021_21, W223_23))) & =(sdtasdt0(sdtpldt0(W122_22, W223_23), W021_21), sdtpldt0(sdtasdt0(W122_22, W021_21), sdtasdt0(W223_23, W021_21)))))), ! [W024_24, W125_25, W226_26] : ((((aNaturalNumber0(W024_24) & aNaturalNumber0(W125_25)) & aNaturalNumber0(W226_26)) => ((=(sdtpldt0(W024_24, W125_25), sdtpldt0(W024_24, W226_26)) | =(sdtpldt0(W125_25, W024_24), sdtpldt0(W226_26, W024_24))) => =(W125_25, W226_26)))), ! [W027_27] : ((aNaturalNumber0(W027_27) => (~=(W027_27, sz00) => ! [W128_28, W229_29] : (((aNaturalNumber0(W128_28) & aNaturalNumber0(W229_29)) => ((=(sdtasdt0(W027_27, W128_28), sdtasdt0(W027_27, W229_29)) | =(sdtasdt0(W128_28, W027_27), sdtasdt0(W229_29, W027_27))) => =(W128_28, W229_29))))))), ! [W030_30, W131_31] : (((aNaturalNumber0(W030_30) & aNaturalNumber0(W131_31)) => (=(sdtpldt0(W030_30, W131_31), sz00) => (=(W030_30, sz00) & =(W131_31, sz00))))), ! [W032_32, W133_33] : (((aNaturalNumber0(W032_32) & aNaturalNumber0(W133_33)) => (=(sdtasdt0(W032_32, W133_33), sz00) => (=(W032_32, sz00) | =(W133_33, sz00))))), ! [W034_34, W135_35] : (((aNaturalNumber0(W034_34) & aNaturalNumber0(W135_35)) => (sdtlseqdt0(W034_34, W135_35) <=> ? [W236_36] : ((aNaturalNumber0(W236_36) & =(sdtpldt0(W034_34, W236_36), W135_35)))))), ! [W037_37, W138_38] : (((aNaturalNumber0(W037_37) & aNaturalNumber0(W138_38)) => (sdtlseqdt0(W037_37, W138_38) => ! [W239_39] : ((=(W239_39, sdtmndt0(W138_38, W037_37)) <=> (aNaturalNumber0(W239_39) & =(sdtpldt0(W037_37, W239_39), W138_38))))))), ! [W040_40] : ((aNaturalNumber0(W040_40) => sdtlseqdt0(W040_40, W040_40))), ! [W041_41, W142_42] : (((aNaturalNumber0(W041_41) & aNaturalNumber0(W142_42)) => ((sdtlseqdt0(W041_41, W142_42) & sdtlseqdt0(W142_42, W041_41)) => =(W041_41, W142_42)))), ! [W043_43, W144_44, W245_45] : ((((aNaturalNumber0(W043_43) & aNaturalNumber0(W144_44)) & aNaturalNumber0(W245_45)) => ((sdtlseqdt0(W043_43, W144_44) & sdtlseqdt0(W144_44, W245_45)) => sdtlseqdt0(W043_43, W245_45)))), ! [W046_46, W147_47] : (((aNaturalNumber0(W046_46) & aNaturalNumber0(W147_47)) => (sdtlseqdt0(W046_46, W147_47) | (~=(W147_47, W046_46) & sdtlseqdt0(W147_47, W046_46))))), ! [W048_48, W149_49] : (((aNaturalNumber0(W048_48) & aNaturalNumber0(W149_49)) => ((~=(W048_48, W149_49) & sdtlseqdt0(W048_48, W149_49)) => ! [W250_50] : ((aNaturalNumber0(W250_50) => (((~=(sdtpldt0(W250_50, W048_48), sdtpldt0(W250_50, W149_49)) & sdtlseqdt0(sdtpldt0(W250_50, W048_48), sdtpldt0(W250_50, W149_49))) & ~=(sdtpldt0(W048_48, W250_50), sdtpldt0(W149_49, W250_50))) & sdtlseqdt0(sdtpldt0(W048_48, W250_50), sdtpldt0(W149_49, W250_50)))))))), ! [W051_51, W152_52, W253_53] : ((((aNaturalNumber0(W051_51) & aNaturalNumber0(W152_52)) & aNaturalNumber0(W253_53)) => (((~=(W051_51, sz00) & ~=(W152_52, W253_53)) & sdtlseqdt0(W152_52, W253_53)) => (((~=(sdtasdt0(W051_51, W152_52), sdtasdt0(W051_51, W253_53)) & sdtlseqdt0(sdtasdt0(W051_51, W152_52), sdtasdt0(W051_51, W253_53))) & ~=(sdtasdt0(W152_52, W051_51), sdtasdt0(W253_53, W051_51))) & sdtlseqdt0(sdtasdt0(W152_52, W051_51), sdtasdt0(W253_53, W051_51)))))), ! [W054_54] : ((aNaturalNumber0(W054_54) => ((=(W054_54, sz00) | =(W054_54, sz10)) | (~=(sz10, W054_54) & sdtlseqdt0(sz10, W054_54))))), ! [W055_55, W156_56] : (((aNaturalNumber0(W055_55) & aNaturalNumber0(W156_56)) => (~=(W055_55, sz00) => sdtlseqdt0(W156_56, sdtasdt0(W156_56, W055_55))))), ! [W057_57, W158_58] : (((aNaturalNumber0(W057_57) & aNaturalNumber0(W158_58)) => (iLess0(W057_57, W158_58) => $true))), ! [W059_59, W160_60] : (((aNaturalNumber0(W059_59) & aNaturalNumber0(W160_60)) => ((~=(W059_59, W160_60) & sdtlseqdt0(W059_59, W160_60)) => iLess0(W059_59, W160_60)))), ! [W061_61, W162_62] : (((aNaturalNumber0(W061_61) & aNaturalNumber0(W162_62)) => (doDivides0(W061_61, W162_62) <=> ? [W263_63] : ((aNaturalNumber0(W263_63) & =(W162_62, sdtasdt0(W061_61, W263_63))))))), ! [W064_64, W165_65] : (((aNaturalNumber0(W064_64) & aNaturalNumber0(W165_65)) => ((~=(W064_64, sz00) & doDivides0(W064_64, W165_65)) => ! [W266_66] : ((=(W266_66, sdtsldt0(W165_65, W064_64)) <=> (aNaturalNumber0(W266_66) & =(W165_65, sdtasdt0(W064_64, W266_66)))))))), ! [W067_67, W168_68, W269_69] : ((((aNaturalNumber0(W067_67) & aNaturalNumber0(W168_68)) & aNaturalNumber0(W269_69)) => ((doDivides0(W067_67, W168_68) & doDivides0(W168_68, W269_69)) => doDivides0(W067_67, W269_69)))), ! [W070_70, W171_71, W272_72] : ((((aNaturalNumber0(W070_70) & aNaturalNumber0(W171_71)) & aNaturalNumber0(W272_72)) => ((doDivides0(W070_70, W171_71) & doDivides0(W070_70, W272_72)) => doDivides0(W070_70, sdtpldt0(W171_71, W272_72))))), ! [W073_73, W174_74, W275_75] : ((((aNaturalNumber0(W073_73) & aNaturalNumber0(W174_74)) & aNaturalNumber0(W275_75)) => ((doDivides0(W073_73, W174_74) & doDivides0(W073_73, sdtpldt0(W174_74, W275_75))) => doDivides0(W073_73, W275_75)))), ! [W076_76, W177_77] : (((aNaturalNumber0(W076_76) & aNaturalNumber0(W177_77)) => ((doDivides0(W076_76, W177_77) & ~=(W177_77, sz00)) => sdtlseqdt0(W076_76, W177_77)))), ! [W078_78, W179_79] : (((aNaturalNumber0(W078_78) & aNaturalNumber0(W179_79)) => ((~=(W078_78, sz00) & doDivides0(W078_78, W179_79)) => ! [W280_80] : ((aNaturalNumber0(W280_80) => =(sdtasdt0(W280_80, sdtsldt0(W179_79, W078_78)), sdtsldt0(sdtasdt0(W280_80, W179_79), W078_78))))))), ! [W081_81] : ((aNaturalNumber0(W081_81) => (isPrime0(W081_81) <=> ((~=(W081_81, sz00) & ~=(W081_81, sz10)) & ! [W182_82] : (((aNaturalNumber0(W182_82) & doDivides0(W182_82, W081_81)) => (=(W182_82, sz10) | =(W182_82, W081_81)))))))), ! [W083_83] : ((((aNaturalNumber0(W083_83) & ~=(W083_83, sz00)) & ~=(W083_83, sz10)) => ? [W184_84] : (((aNaturalNumber0(W184_84) & doDivides0(W184_84, W083_83)) & isPrime0(W184_84))))), ! [W085_85, W186_86, W287_87] : ((((aNaturalNumber0(W085_85) & aNaturalNumber0(W186_86)) & aNaturalNumber0(W287_87)) => ((isPrime0(W287_87) & doDivides0(W287_87, sdtasdt0(W085_85, W186_86))) => (doDivides0(W287_87, W085_85) | doDivides0(W287_87, W186_86))))), (((((aNaturalNumber0(xn) & aNaturalNumber0(xm)) & aNaturalNumber0(xp)) & ~=(xn, sz00)) & ~=(xm, sz00)) & ~=(xp, sz00)), ! [W088_88, W189_89, W290_90] : (((((((aNaturalNumber0(W088_88) & aNaturalNumber0(W189_89)) & aNaturalNumber0(W290_90)) & ~=(W088_88, sz00)) & ~=(W189_89, sz00)) & ~=(W290_90, sz00)) => (=(sdtasdt0(W290_90, sdtasdt0(W189_89, W189_89)), sdtasdt0(W088_88, W088_88)) => (iLess0(W088_88, xn) => ~isPrime0(W290_90))))), =(sdtasdt0(xp, sdtasdt0(xm, xm)), sdtasdt0(xn, xn)), isPrime0(xp), (doDivides0(xp, sdtasdt0(xn, xn)) & doDivides0(xp, xn)), =(xq, sdtsldt0(xn, xp)), =(sdtasdt0(xm, xm), sdtasdt0(xp, sdtasdt0(xq, xq))), (~=(xm, xn) & sdtlseqdt0(xm, xn)), ~isPrime0(xp), ~$false
% 0.20/0.46
% 0.20/0.46 [1] CLOSURE : isPrime0(xp)
% 0.20/0.46
% 0.20/0.46 % SZS output end Proof for theBenchmark.p
% 0.20/0.46 [0.107647s][1][Res] 1 goroutines created
% 0.20/0.46 ==== Result ====
% 0.20/0.46 [0.107682s][1][Res] VALID
% 0.20/0.46 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------