TSTP Solution File: RNG074+1 by Goeland---1.0.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Goeland---1.0.0
% Problem : RNG074+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : goeland -dmt -presko -proof %s
% Computer : n025.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 : Tue Sep 20 03:07:34 EDT 2022
% Result : Theorem 0.48s 0.59s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG074+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : goeland -dmt -presko -proof %s
% 0.14/0.34 % Computer : n025.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 22:25:02 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 [0.000054s][1][MAIN] Problem : theBenchmark.p
% 0.20/0.37 Start search
% 0.20/0.38 nb_step : 1 - limit : 39
% 0.20/0.38 Launch Gotab with destructive = true
% 0.48/0.58 % SZS output start Proof for theBenchmark.p
% 0.48/0.59 [0] ALPHA_AND : (! [W04_4] : ((aNaturalNumber0(W04_4) => $true)) & aNaturalNumber0(sz00) & ! [W05_5] : ((aNaturalNumber0(W05_5) => (aNaturalNumber0(szszuzczcdt0(W05_5)) & ~=(szszuzczcdt0(W05_5), sz00)))) & ! [W06_6] : (((aNaturalNumber0(W06_6) & ~=(W06_6, sz00)) => ? [W17_7] : ((aNaturalNumber0(W17_7) & =(W06_6, szszuzczcdt0(W17_7)))))) & ! [W08_8, W19_9] : (((aNaturalNumber0(W08_8) & aNaturalNumber0(W19_9)) => (=(szszuzczcdt0(W08_8), szszuzczcdt0(W19_9)) => =(W08_8, W19_9)))) & ! [W010_10, W111_11] : (((aNaturalNumber0(W010_10) & aNaturalNumber0(W111_11)) => (iLess0(W010_10, W111_11) => $true))) & ! [W012_12] : ((aNaturalNumber0(W012_12) => iLess0(W012_12, szszuzczcdt0(W012_12)))) & ! [W013_13] : ((aScalar0(W013_13) => $true)) & aScalar0(sz0z00) & ! [W014_14, W115_15] : (((aScalar0(W014_14) & aScalar0(W115_15)) => aScalar0(sdtpldt0(W014_14, W115_15)))) & ! [W016_16, W117_17] : (((aScalar0(W016_16) & aScalar0(W117_17)) => aScalar0(sdtasdt0(W016_16, W117_17)))) & ! [W018_18] : ((aScalar0(W018_18) => aScalar0(smndt0(W018_18)))) & ! [W019_19] : ((aScalar0(W019_19) => (((((((=(sdtpldt0(W019_19, sz0z00), W019_19) & =(sdtpldt0(sz0z00, W019_19), W019_19)) & =(sdtasdt0(W019_19, sz0z00), sz0z00)) & =(sdtasdt0(sz0z00, W019_19), sz0z00)) & =(sdtpldt0(W019_19, smndt0(W019_19)), sz0z00)) & =(sdtpldt0(smndt0(W019_19), W019_19), sz0z00)) & =(smndt0(smndt0(W019_19)), W019_19)) & =(smndt0(sz0z00), sz0z00)))) & ! [W020_20, W121_21, W222_22] : ((((aScalar0(W020_20) & aScalar0(W121_21)) & aScalar0(W222_22)) => (((=(sdtpldt0(sdtpldt0(W020_20, W121_21), W222_22), sdtpldt0(W020_20, sdtpldt0(W121_21, W222_22))) & =(sdtpldt0(W020_20, W121_21), sdtpldt0(W121_21, W020_20))) & =(sdtasdt0(sdtasdt0(W020_20, W121_21), W222_22), sdtasdt0(W020_20, sdtasdt0(W121_21, W222_22)))) & =(sdtasdt0(W020_20, W121_21), sdtasdt0(W121_21, W020_20))))) & ! [W023_23, W124_24, W225_25] : ((((aScalar0(W023_23) & aScalar0(W124_24)) & aScalar0(W225_25)) => (=(sdtasdt0(W023_23, sdtpldt0(W124_24, W225_25)), sdtpldt0(sdtasdt0(W023_23, W124_24), sdtasdt0(W023_23, W225_25))) & =(sdtasdt0(sdtpldt0(W023_23, W124_24), W225_25), sdtpldt0(sdtasdt0(W023_23, W225_25), sdtasdt0(W124_24, W225_25)))))) & ! [W026_26, W127_27, W228_28, W329_29] : (((((aScalar0(W026_26) & aScalar0(W127_27)) & aScalar0(W228_28)) & aScalar0(W329_29)) => =(sdtasdt0(sdtpldt0(W026_26, W127_27), sdtpldt0(W228_28, W329_29)), sdtpldt0(sdtpldt0(sdtasdt0(W026_26, W228_28), sdtasdt0(W026_26, W329_29)), sdtpldt0(sdtasdt0(W127_27, W228_28), sdtasdt0(W127_27, W329_29)))))) & ! [W030_30, W131_31] : (((aScalar0(W030_30) & aScalar0(W131_31)) => (=(sdtasdt0(W030_30, smndt0(W131_31)), smndt0(sdtasdt0(W030_30, W131_31))) & =(sdtasdt0(smndt0(W030_30), W131_31), smndt0(sdtasdt0(W030_30, W131_31)))))) & ! [W032_32, W133_33] : (((aScalar0(W032_32) & aScalar0(W133_33)) => =(sdtasdt0(smndt0(W032_32), smndt0(W133_33)), sdtasdt0(W032_32, W133_33)))) & ! [W034_34, W135_35] : (((aScalar0(W034_34) & aScalar0(W135_35)) => (sdtlseqdt0(W034_34, W135_35) => $true))) & ! [W036_36] : ((aScalar0(W036_36) => sdtlseqdt0(W036_36, W036_36))) & ! [W037_37, W138_38] : (((aScalar0(W037_37) & aScalar0(W138_38)) => ((sdtlseqdt0(W037_37, W138_38) & sdtlseqdt0(W138_38, W037_37)) => =(W037_37, W138_38)))) & ! [W039_39, W140_40, W241_41] : ((((aScalar0(W039_39) & aScalar0(W140_40)) & aScalar0(W241_41)) => ((sdtlseqdt0(W039_39, W140_40) & sdtlseqdt0(W140_40, W241_41)) => sdtlseqdt0(W039_39, W241_41)))) & ! [W042_42, W143_43, W244_44, W345_45] : (((((aScalar0(W042_42) & aScalar0(W143_43)) & aScalar0(W244_44)) & aScalar0(W345_45)) => ((sdtlseqdt0(W042_42, W143_43) & sdtlseqdt0(W244_44, W345_45)) => sdtlseqdt0(sdtpldt0(W042_42, W244_44), sdtpldt0(W143_43, W345_45))))) & ! [W046_46, W147_47, W248_48, W349_49] : (((((aScalar0(W046_46) & aScalar0(W147_47)) & aScalar0(W248_48)) & aScalar0(W349_49)) => (((sdtlseqdt0(W046_46, W147_47) & sdtlseqdt0(sz0z00, W248_48)) & sdtlseqdt0(W248_48, W349_49)) => sdtlseqdt0(sdtasdt0(W046_46, W248_48), sdtasdt0(W147_47, W349_49))))) & ! [W050_50, W151_51] : (((aScalar0(W050_50) & aScalar0(W151_51)) => (sdtlseqdt0(W050_50, W151_51) | sdtlseqdt0(W151_51, W050_50)))) & ! [W052_52, W153_53] : (((aScalar0(W052_52) & aScalar0(W153_53)) => ((sdtlseqdt0(sz0z00, W052_52) & sdtlseqdt0(sz0z00, W153_53)) => (sdtlseqdt0(sz0z00, sdtpldt0(W052_52, W153_53)) & sdtlseqdt0(sz0z00, sdtasdt0(W052_52, W153_53)))))) & ! [W054_54] : ((aScalar0(W054_54) => sdtlseqdt0(sz0z00, sdtasdt0(W054_54, W054_54)))) & ! [W055_55, W156_56] : (((aScalar0(W055_55) & aScalar0(W156_56)) => (((sdtlseqdt0(sz0z00, W055_55) & sdtlseqdt0(sz0z00, W156_56)) & =(sdtasdt0(W055_55, W055_55), sdtasdt0(W156_56, W156_56))) => =(W055_55, W156_56)))) & ! [W057_57] : ((aVector0(W057_57) => $true)) & ! [W058_58] : ((aVector0(W058_58) => aNaturalNumber0(aDimensionOf0(W058_58)))) & ! [W059_59, W160_60] : (((aVector0(W059_59) & aNaturalNumber0(W160_60)) => aScalar0(sdtlbdtrb0(W059_59, W160_60)))) & ! [W061_61] : ((aVector0(W061_61) => (~=(aDimensionOf0(W061_61), sz00) => ! [W162_62] : ((=(W162_62, sziznziztdt0(W061_61)) <=> ((aVector0(W162_62) & =(szszuzczcdt0(aDimensionOf0(W162_62)), aDimensionOf0(W061_61))) & ! [W263_63] : ((aNaturalNumber0(W263_63) => =(sdtlbdtrb0(W162_62, W263_63), sdtlbdtrb0(W061_61, W263_63)))))))))) & ! [W064_64, W165_65] : (((aVector0(W064_64) & aVector0(W165_65)) => ((=(aDimensionOf0(W064_64), aDimensionOf0(W165_65)) & ~=(aDimensionOf0(W165_65), sz00)) => =(aDimensionOf0(sziznziztdt0(W064_64)), aDimensionOf0(sziznziztdt0(W165_65)))))) & ! [W066_66, W167_67] : (((aVector0(W066_66) & aVector0(W167_67)) => (=(aDimensionOf0(W066_66), aDimensionOf0(W167_67)) => aScalar0(sdtasasdt0(W066_66, W167_67))))) & ! [W068_68, W169_69] : (((aVector0(W068_68) & aVector0(W169_69)) => ((=(aDimensionOf0(W068_68), aDimensionOf0(W169_69)) & =(aDimensionOf0(W169_69), sz00)) => =(sdtasasdt0(W068_68, W169_69), sz0z00)))) & ! [W070_70, W171_71] : (((aVector0(W070_70) & aVector0(W171_71)) => ((=(aDimensionOf0(W070_70), aDimensionOf0(W171_71)) & ~=(aDimensionOf0(W171_71), sz00)) => =(sdtasasdt0(W070_70, W171_71), sdtpldt0(sdtasasdt0(sziznziztdt0(W070_70), sziznziztdt0(W171_71)), sdtasdt0(sdtlbdtrb0(W070_70, aDimensionOf0(W070_70)), sdtlbdtrb0(W171_71, aDimensionOf0(W171_71)))))))) & ! [W072_72] : ((aVector0(W072_72) => sdtlseqdt0(sz0z00, sdtasasdt0(W072_72, W072_72)))) & (aVector0(xs) & aVector0(xt)) & ! [W073_73, W174_74] : (((aVector0(W073_73) & aVector0(W174_74)) => (=(aDimensionOf0(W073_73), aDimensionOf0(W174_74)) => (iLess0(aDimensionOf0(W073_73), aDimensionOf0(xs)) => sdtlseqdt0(sdtasdt0(sdtasasdt0(W073_73, W174_74), sdtasasdt0(W073_73, W174_74)), sdtasdt0(sdtasasdt0(W073_73, W073_73), sdtasasdt0(W174_74, W174_74))))))) & =(aDimensionOf0(xs), aDimensionOf0(xt)) & ~=(aDimensionOf0(xs), sz00) & (aVector0(xp) & =(xp, sziznziztdt0(xs))) & (aVector0(xq) & =(xq, sziznziztdt0(xt))) & (aScalar0(xA) & =(xA, sdtlbdtrb0(xs, aDimensionOf0(xs)))) & (aScalar0(xB) & =(xB, sdtlbdtrb0(xt, aDimensionOf0(xt)))) & (aScalar0(xC) & =(xC, sdtasasdt0(xp, xp))) & (aScalar0(xD) & =(xD, sdtasasdt0(xq, xq))) & (aScalar0(xE) & =(xE, sdtasasdt0(xp, xq))) & (aScalar0(xF) & =(xF, sdtasdt0(xA, xA))) & (aScalar0(xG) & =(xG, sdtasdt0(xB, xB))) & (aScalar0(xH) & =(xH, sdtasdt0(xA, xB))) & (aScalar0(xR) & =(xR, sdtasdt0(xC, xG))) & (aScalar0(xP) & =(xP, sdtasdt0(xE, xH))) & (aScalar0(xS) & =(xS, sdtasdt0(xF, xD))) & (aScalar0(xN) & =(xN, sdtasdt0(xR, xS))) & sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)) & sdtlseqdt0(sdtasdt0(xP, xP), xN) & sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))) & sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))) & ~sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)) & sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)) & (sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)) & sdtlseqdt0(sz0z00, sdtpldt0(xP, xP))) & sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))) & =(sdtpldt0(xR, xS), sdtpldt0(xP, xP)) & ~$false)
% 0.48/0.59 -> [1] ! [W04_4] : ((aNaturalNumber0(W04_4) => $true)), aNaturalNumber0(sz00), ! [W05_5] : ((aNaturalNumber0(W05_5) => (aNaturalNumber0(szszuzczcdt0(W05_5)) & ~=(szszuzczcdt0(W05_5), sz00)))), ! [W06_6] : (((aNaturalNumber0(W06_6) & ~=(W06_6, sz00)) => ? [W17_7] : ((aNaturalNumber0(W17_7) & =(W06_6, szszuzczcdt0(W17_7)))))), ! [W08_8, W19_9] : (((aNaturalNumber0(W08_8) & aNaturalNumber0(W19_9)) => (=(szszuzczcdt0(W08_8), szszuzczcdt0(W19_9)) => =(W08_8, W19_9)))), ! [W010_10, W111_11] : (((aNaturalNumber0(W010_10) & aNaturalNumber0(W111_11)) => (iLess0(W010_10, W111_11) => $true))), ! [W012_12] : ((aNaturalNumber0(W012_12) => iLess0(W012_12, szszuzczcdt0(W012_12)))), ! [W013_13] : ((aScalar0(W013_13) => $true)), aScalar0(sz0z00), ! [W014_14, W115_15] : (((aScalar0(W014_14) & aScalar0(W115_15)) => aScalar0(sdtpldt0(W014_14, W115_15)))), ! [W016_16, W117_17] : (((aScalar0(W016_16) & aScalar0(W117_17)) => aScalar0(sdtasdt0(W016_16, W117_17)))), ! [W018_18] : ((aScalar0(W018_18) => aScalar0(smndt0(W018_18)))), ! [W019_19] : ((aScalar0(W019_19) => (((((((=(sdtpldt0(W019_19, sz0z00), W019_19) & =(sdtpldt0(sz0z00, W019_19), W019_19)) & =(sdtasdt0(W019_19, sz0z00), sz0z00)) & =(sdtasdt0(sz0z00, W019_19), sz0z00)) & =(sdtpldt0(W019_19, smndt0(W019_19)), sz0z00)) & =(sdtpldt0(smndt0(W019_19), W019_19), sz0z00)) & =(smndt0(smndt0(W019_19)), W019_19)) & =(smndt0(sz0z00), sz0z00)))), ! [W020_20, W121_21, W222_22] : ((((aScalar0(W020_20) & aScalar0(W121_21)) & aScalar0(W222_22)) => (((=(sdtpldt0(sdtpldt0(W020_20, W121_21), W222_22), sdtpldt0(W020_20, sdtpldt0(W121_21, W222_22))) & =(sdtpldt0(W020_20, W121_21), sdtpldt0(W121_21, W020_20))) & =(sdtasdt0(sdtasdt0(W020_20, W121_21), W222_22), sdtasdt0(W020_20, sdtasdt0(W121_21, W222_22)))) & =(sdtasdt0(W020_20, W121_21), sdtasdt0(W121_21, W020_20))))), ! [W023_23, W124_24, W225_25] : ((((aScalar0(W023_23) & aScalar0(W124_24)) & aScalar0(W225_25)) => (=(sdtasdt0(W023_23, sdtpldt0(W124_24, W225_25)), sdtpldt0(sdtasdt0(W023_23, W124_24), sdtasdt0(W023_23, W225_25))) & =(sdtasdt0(sdtpldt0(W023_23, W124_24), W225_25), sdtpldt0(sdtasdt0(W023_23, W225_25), sdtasdt0(W124_24, W225_25)))))), ! [W026_26, W127_27, W228_28, W329_29] : (((((aScalar0(W026_26) & aScalar0(W127_27)) & aScalar0(W228_28)) & aScalar0(W329_29)) => =(sdtasdt0(sdtpldt0(W026_26, W127_27), sdtpldt0(W228_28, W329_29)), sdtpldt0(sdtpldt0(sdtasdt0(W026_26, W228_28), sdtasdt0(W026_26, W329_29)), sdtpldt0(sdtasdt0(W127_27, W228_28), sdtasdt0(W127_27, W329_29)))))), ! [W030_30, W131_31] : (((aScalar0(W030_30) & aScalar0(W131_31)) => (=(sdtasdt0(W030_30, smndt0(W131_31)), smndt0(sdtasdt0(W030_30, W131_31))) & =(sdtasdt0(smndt0(W030_30), W131_31), smndt0(sdtasdt0(W030_30, W131_31)))))), ! [W032_32, W133_33] : (((aScalar0(W032_32) & aScalar0(W133_33)) => =(sdtasdt0(smndt0(W032_32), smndt0(W133_33)), sdtasdt0(W032_32, W133_33)))), ! [W034_34, W135_35] : (((aScalar0(W034_34) & aScalar0(W135_35)) => (sdtlseqdt0(W034_34, W135_35) => $true))), ! [W036_36] : ((aScalar0(W036_36) => sdtlseqdt0(W036_36, W036_36))), ! [W037_37, W138_38] : (((aScalar0(W037_37) & aScalar0(W138_38)) => ((sdtlseqdt0(W037_37, W138_38) & sdtlseqdt0(W138_38, W037_37)) => =(W037_37, W138_38)))), ! [W039_39, W140_40, W241_41] : ((((aScalar0(W039_39) & aScalar0(W140_40)) & aScalar0(W241_41)) => ((sdtlseqdt0(W039_39, W140_40) & sdtlseqdt0(W140_40, W241_41)) => sdtlseqdt0(W039_39, W241_41)))), ! [W042_42, W143_43, W244_44, W345_45] : (((((aScalar0(W042_42) & aScalar0(W143_43)) & aScalar0(W244_44)) & aScalar0(W345_45)) => ((sdtlseqdt0(W042_42, W143_43) & sdtlseqdt0(W244_44, W345_45)) => sdtlseqdt0(sdtpldt0(W042_42, W244_44), sdtpldt0(W143_43, W345_45))))), ! [W046_46, W147_47, W248_48, W349_49] : (((((aScalar0(W046_46) & aScalar0(W147_47)) & aScalar0(W248_48)) & aScalar0(W349_49)) => (((sdtlseqdt0(W046_46, W147_47) & sdtlseqdt0(sz0z00, W248_48)) & sdtlseqdt0(W248_48, W349_49)) => sdtlseqdt0(sdtasdt0(W046_46, W248_48), sdtasdt0(W147_47, W349_49))))), ! [W050_50, W151_51] : (((aScalar0(W050_50) & aScalar0(W151_51)) => (sdtlseqdt0(W050_50, W151_51) | sdtlseqdt0(W151_51, W050_50)))), ! [W052_52, W153_53] : (((aScalar0(W052_52) & aScalar0(W153_53)) => ((sdtlseqdt0(sz0z00, W052_52) & sdtlseqdt0(sz0z00, W153_53)) => (sdtlseqdt0(sz0z00, sdtpldt0(W052_52, W153_53)) & sdtlseqdt0(sz0z00, sdtasdt0(W052_52, W153_53)))))), ! [W054_54] : ((aScalar0(W054_54) => sdtlseqdt0(sz0z00, sdtasdt0(W054_54, W054_54)))), ! [W055_55, W156_56] : (((aScalar0(W055_55) & aScalar0(W156_56)) => (((sdtlseqdt0(sz0z00, W055_55) & sdtlseqdt0(sz0z00, W156_56)) & =(sdtasdt0(W055_55, W055_55), sdtasdt0(W156_56, W156_56))) => =(W055_55, W156_56)))), ! [W057_57] : ((aVector0(W057_57) => $true)), ! [W058_58] : ((aVector0(W058_58) => aNaturalNumber0(aDimensionOf0(W058_58)))), ! [W059_59, W160_60] : (((aVector0(W059_59) & aNaturalNumber0(W160_60)) => aScalar0(sdtlbdtrb0(W059_59, W160_60)))), ! [W061_61] : ((aVector0(W061_61) => (~=(aDimensionOf0(W061_61), sz00) => ! [W162_62] : ((=(W162_62, sziznziztdt0(W061_61)) <=> ((aVector0(W162_62) & =(szszuzczcdt0(aDimensionOf0(W162_62)), aDimensionOf0(W061_61))) & ! [W263_63] : ((aNaturalNumber0(W263_63) => =(sdtlbdtrb0(W162_62, W263_63), sdtlbdtrb0(W061_61, W263_63)))))))))), ! [W064_64, W165_65] : (((aVector0(W064_64) & aVector0(W165_65)) => ((=(aDimensionOf0(W064_64), aDimensionOf0(W165_65)) & ~=(aDimensionOf0(W165_65), sz00)) => =(aDimensionOf0(sziznziztdt0(W064_64)), aDimensionOf0(sziznziztdt0(W165_65)))))), ! [W066_66, W167_67] : (((aVector0(W066_66) & aVector0(W167_67)) => (=(aDimensionOf0(W066_66), aDimensionOf0(W167_67)) => aScalar0(sdtasasdt0(W066_66, W167_67))))), ! [W068_68, W169_69] : (((aVector0(W068_68) & aVector0(W169_69)) => ((=(aDimensionOf0(W068_68), aDimensionOf0(W169_69)) & =(aDimensionOf0(W169_69), sz00)) => =(sdtasasdt0(W068_68, W169_69), sz0z00)))), ! [W070_70, W171_71] : (((aVector0(W070_70) & aVector0(W171_71)) => ((=(aDimensionOf0(W070_70), aDimensionOf0(W171_71)) & ~=(aDimensionOf0(W171_71), sz00)) => =(sdtasasdt0(W070_70, W171_71), sdtpldt0(sdtasasdt0(sziznziztdt0(W070_70), sziznziztdt0(W171_71)), sdtasdt0(sdtlbdtrb0(W070_70, aDimensionOf0(W070_70)), sdtlbdtrb0(W171_71, aDimensionOf0(W171_71)))))))), ! [W072_72] : ((aVector0(W072_72) => sdtlseqdt0(sz0z00, sdtasasdt0(W072_72, W072_72)))), (aVector0(xs) & aVector0(xt)), ! [W073_73, W174_74] : (((aVector0(W073_73) & aVector0(W174_74)) => (=(aDimensionOf0(W073_73), aDimensionOf0(W174_74)) => (iLess0(aDimensionOf0(W073_73), aDimensionOf0(xs)) => sdtlseqdt0(sdtasdt0(sdtasasdt0(W073_73, W174_74), sdtasasdt0(W073_73, W174_74)), sdtasdt0(sdtasasdt0(W073_73, W073_73), sdtasasdt0(W174_74, W174_74))))))), =(aDimensionOf0(xs), aDimensionOf0(xt)), ~=(aDimensionOf0(xs), sz00), (aVector0(xp) & =(xp, sziznziztdt0(xs))), (aVector0(xq) & =(xq, sziznziztdt0(xt))), (aScalar0(xA) & =(xA, sdtlbdtrb0(xs, aDimensionOf0(xs)))), (aScalar0(xB) & =(xB, sdtlbdtrb0(xt, aDimensionOf0(xt)))), (aScalar0(xC) & =(xC, sdtasasdt0(xp, xp))), (aScalar0(xD) & =(xD, sdtasasdt0(xq, xq))), (aScalar0(xE) & =(xE, sdtasasdt0(xp, xq))), (aScalar0(xF) & =(xF, sdtasdt0(xA, xA))), (aScalar0(xG) & =(xG, sdtasdt0(xB, xB))), (aScalar0(xH) & =(xH, sdtasdt0(xA, xB))), (aScalar0(xR) & =(xR, sdtasdt0(xC, xG))), (aScalar0(xP) & =(xP, sdtasdt0(xE, xH))), (aScalar0(xS) & =(xS, sdtasdt0(xF, xD))), (aScalar0(xN) & =(xN, sdtasdt0(xR, xS))), sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)), sdtlseqdt0(sdtasdt0(xP, xP), xN), sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))), sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))), ~sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)), sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)), (sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)) & sdtlseqdt0(sz0z00, sdtpldt0(xP, xP))), sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))), =(sdtpldt0(xR, xS), sdtpldt0(xP, xP)), ~$false
% 0.48/0.59
% 0.48/0.59 [1] CLOSURE : =
% 0.48/0.59
% 0.48/0.59 % SZS output end Proof for theBenchmark.p
% 0.48/0.59 [0.240571s][1][Res] 587 goroutines created
% 0.48/0.59 ==== Result ====
% 0.48/0.59 [0.240606s][1][Res] VALID
% 0.48/0.59 % SZS status Theorem for theBenchmark.p
%------------------------------------------------------------------------------