0.08/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.14 % Command : RunEtableau %s 0.15/0.35 % Computer : n006.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 180 0.15/0.35 % DateTime : Wed Sep 18 17:53:25 EDT 2019 0.15/0.36 % CPUTime : 0.39/0.61 0.39/0.61 Label: fof(i_0_106, plain, ?[X612]:(((ron(vd1057,X612)&rcenter(vd1055,X612))&rcircle(X612))&X612!=vd1061)). 0.39/0.61 Label: fof(i_0_108, plain, (((ron(vd1057,esk1_0)&rcenter(vd1055,esk1_0))&rcircle(esk1_0))&esk1_0!=vd1061)). 0.39/0.61 Label: fof(i_0_109, plain, ((ron(vd1057,esk1_0)&rcenter(vd1055,esk1_0))&rcircle(esk1_0))). 0.39/0.61 Label: fof(i_0_110, plain, esk1_0!=vd1061). 0.39/0.61 Label: fof(i_0_111, plain, (ron(vd1057,esk1_0)&rcenter(vd1055,esk1_0))). 0.39/0.61 Label: fof(i_0_112, plain, rcircle(esk1_0)). 0.39/0.61 Label: fof(i_0_113, plain, ron(vd1057,esk1_0)). 0.39/0.61 Label: fof(i_0_114, plain, rcenter(vd1055,esk1_0)). 0.39/0.61 Branches: 1 => 1, Unifiable pairs: 0 0.39/0.61 AXIOMS: 0.39/0.61 fof(i_0_1, axiom, ((((rpoint(vd1058)&vd1055=vd1056)&rpoint(vd1056))&vd1057!=vd1055)&vd1057=vd1058)). 0.39/0.61 fof(i_0_2, axiom, ![X1, X2, X3, X4, X5]:(((((((ron(X2,X5)&rcenter(X3,X5))&rcenter(X3,X4))&?[X6]:(X2=X6&rpoint(X6)))&?[X7]:(rpoint(X7)&X7=X1))&ron(X1,X4))&vf(X3,X2)=vf(X3,X1))=>X5=X4)). 0.39/0.61 fof(i_0_3, axiom, ![X8, X9, X10, X11, X12]:(rS(X9,X10,X11)<=((((((X11=X12&?[X13]:(X8=X13&rpoint(X13)))&?[X14]:(X9=X14&rpoint(X14)))&?[X15]:(X10=X15&rpoint(X15)))&rline(X12))&rS(X8,X9,X11))&rS(X8,X10,X11)))). 0.39/0.61 fof(i_0_4, axiom, ![X16, X17, X18]:(((?[X19]:(rpoint(X19)&X19=X18)&?[X20]:(X16=X20&rpoint(X20)))&?[X21]:(rpoint(X21)&X17=X21))=>(vg(X16,X18,X17)=vg(X16,X17,X18)&vg(X18,X16,X17)=vg(X16,X17,X18)))). 0.39/0.61 fof(i_0_5, axiom, ![X22, X23, X24]:(?[X25]:(((X24!=X25&X23!=X25)&rpoint(X25))&X22!=X25)<=((?[X26]:(X24=X26&rpoint(X26))&?[X27]:(rpoint(X27)&X22=X27))&?[X28]:(rpoint(X28)&X28=X23)))). 0.39/0.61 fof(i_0_6, axiom, ![X29, X30, X31, X32, X33]:((((((((ron(X33,X29)&ron(X32,X29))&ron(X31,X29))&?[X34]:(rpoint(X34)&X34=X33))&?[X35]:(X32=X35&rpoint(X35)))&?[X36]:(rpoint(X36)&X31=X36))&rline(X30))&X29=X30)=>?[X37]:(((X37!=X31&ron(X37,X29))&rpoint(X37))&X37!=X32))). 0.39/0.61 fof(i_0_7, axiom, ![X38, X39, X40, X41]:(((((X40=X41&rpoint(X39))&X39=X38)&rline(X41))&~(ron(X38,X40)))=>rS(X38,X38,X40))). 0.39/0.61 fof(i_0_8, axiom, ![X42, X43]:((?[X44]:(rpoint(X44)&X43=X44)&?[X45]:(rpoint(X45)&X42=X45))=>?[X46]:((X42!=X46&rpoint(X46))&X43!=X46))). 0.39/0.61 fof(i_0_9, axiom, rreal(vd684)). 0.39/0.61 fof(i_0_10, axiom, ![X47, X48, X49]:((((rR(X48,X47,X49)&?[X50]:(X50=X47&rpoint(X50)))&?[X51]:(rpoint(X51)&X48=X51))&?[X52]:(rpoint(X52)&X49=X52))=>vf(X47,X49)=vplus(vf(X47,X48),vf(X48,X49)))). 0.39/0.61 fof(i_0_11, axiom, ![X53, X54, X55, X56, X57, X58]:((((((((rless(X55,X57)&rless(X53,X55))&X57=X58)&rreal(X58))&rreal(X54))&X53=X54)&rreal(X56))&X55=X56)=>rless(X53,X57))). 0.39/0.61 fof(i_0_12, axiom, ![X59, X60, X61]:((((X61!=X59&rR(X60,X61,X59))&X60!=X59)&~(rR(X59,X60,X61)))<=(((rR(X60,X59,X61)&?[X62]:(X61=X62&rpoint(X62)))&?[X63]:(X63=X59&rpoint(X63)))&?[X64]:(X64=X60&rpoint(X64))))). 0.39/0.61 fof(i_0_13, axiom, ![X65, X66, X67]:(((((X65!=X66&?[X68]:(X67=X68&rpoint(X68)))&?[X69]:(X69=X65&rpoint(X69)))&?[X70]:(X66=X70&rpoint(X70)))&X67!=X65)=>vangle(X65,X66,X67)=vangle(X67,X66,X65))). 0.39/0.61 fof(i_0_14, axiom, ![X71, X72]:(?[X73]:(ron(X73,X71)&rpoint(X73))<=(X72=X71&rline(X72)))). 0.39/0.61 fof(i_0_15, axiom, ![X74, X75, X76, X77, X78, X79, X80]:(((((((((((((((ron(X80,X76)&ron(X79,X76))&ron(X77,X75))&?[X81]:(rpoint(X81)&X78=X81))&?[X82]:(rpoint(X82)&X77=X82))&?[X83]:(rline(X83)&X76=X83))&?[X84]:(rline(X84)&X75=X84))&?[X85]:(rline(X85)&X74=X85))&?[X86]:(rpoint(X86)&X79=X86))&?[X87]:(rpoint(X87)&X87=X80))&ron(X77,X74))&ron(X77,X76))&ron(X78,X74))&rS(X79,X80,X74))&rS(X78,X79,X76))=>~(rS(X78,X80,X75)))). 0.39/0.61 fof(i_0_16, axiom, ![X88, X89, X90, X91, X92, X93, X94]:(((((((((((((((((~(ron(X94,X89))&~(rS(X92,X94,X89)))&rS(X93,X94,X88))&ron(X92,X88))&ron(X91,X89))&?[X95]:(X95=X94&rpoint(X95)))&?[X96]:(rpoint(X96)&X96=X92))&?[X97]:(rline(X97)&X90=X97))&?[X98]:(X89=X98&rline(X98)))&?[X99]:(rline(X99)&X88=X99))&?[X100]:(rpoint(X100)&X91=X100))&?[X101]:(rpoint(X101)&X101=X93))&ron(X91,X88))&ron(X91,X90))&ron(X93,X89))&ron(X94,X90))&X92!=X91)=>rS(X92,X93,X90))). 0.39/0.61 fof(i_0_17, axiom, ![X102, X103, X104, X105]:((~(rless(X104,X102))|X104=X102)<=((((rless(X102,X104)&X105=X104)&rreal(X103))&X103=X102)&rreal(X105)))). 0.39/0.61 fof(i_0_18, axiom, ![X106, X107]:(v0=vg(X106,X106,X107)<=(?[X108]:(rpoint(X108)&X108=X106)&?[X109]:(X107=X109&rpoint(X109))))). 0.39/0.61 fof(i_0_19, axiom, ![X110, X111, X112, X113]:((((X113=X112&X111=X110)&rreal(X111))&rreal(X113))=>vplus(X110,X112)=vplus(X112,X110))). 0.39/0.61 fof(i_0_20, axiom, ![X114, X115, X116, X117]:((((((X116!=X115&X116!=X114)&X114!=X115)&?[X118]:(X116=X118&rpoint(X118)))&?[X119]:(rpoint(X119)&X115=X119))&?[X120]:(X120=X114&rpoint(X120)))<=(rtriangle(X117)&X117=vtriangle(X114,X115,X116)))). 0.39/0.61 fof(i_0_21, axiom, ![X121, X122, X123, X124, X125, X126]:(rintersect(X123,X125)<=((((((((X125=X126&ron(X122,X125))&ron(X121,X125))&~(rS(X121,X122,X123)))&?[X127]:(X121=X127&rpoint(X127)))&?[X128]:(rpoint(X128)&X128=X122))&rline(X124))&rline(X126))&X123=X124))). 0.39/0.61 fof(i_0_22, axiom, ![X129, X130, X131, X132]:((((((rR(X130,X129,X132)&?[X133]:(X133=X132&rpoint(X133)))&?[X134]:(rpoint(X134)&X134=X131))&?[X135]:(X129=X135&rpoint(X135)))&?[X136]:(rpoint(X136)&X130=X136))&rR(X130,X129,X131))=>~(rR(X130,X131,X132)))). 0.39/0.61 fof(i_0_23, axiom, ![X137, X138]:(vf(X137,X138)=vf(X138,X137)<=(?[X139]:(rpoint(X139)&X139=X137)&?[X140]:(X140=X138&rpoint(X140))))). 0.39/0.61 fof(i_0_24, axiom, ![X141, X142, X143, X144]:(X144=X143<=((((((((ron(X142,X144)&ron(X142,X143))&ron(X141,X143))&?[X145]:(rline(X145)&X145=X144))&?[X146]:(rline(X146)&X143=X146))&X142!=X141)&?[X147]:(X147=X141&rpoint(X147)))&?[X148]:(X148=X142&rpoint(X148)))&ron(X141,X144)))). 0.39/0.61 fof(i_0_25, axiom, ![X149, X150, X151, X152, X153, X154, X155]:(?[X156]:(((~(rS(X156,X155,X151))&ron(X156,X150))&ron(X156,X149))&rpoint(X156))<=(((((((((ron(X153,X151)&rintersect(X149,X150))&rline(X152))&?[X157]:(X149=X157&rcircle(X157)))&?[X158]:(X158=X150&rcircle(X158)))&X151=X152)&rcenter(X153,X149))&rcenter(X154,X150))&ron(X154,X151))&~(ron(X155,X151))))). 0.39/0.61 fof(i_0_26, axiom, ![X159, X160, X161, X162]:(?[X163]:((ron(X163,X159)&rpoint(X163))&ron(X163,X161))<=((((rintersect(X159,X161)&rcircle(X162))&rcircle(X160))&X160=X159)&X161=X162))). 0.39/0.61 fof(i_0_27, axiom, ![X164, X165]:(((?[X166]:(rcircle(X166)&X164=X166)&?[X167]:(rcircle(X167)&X165=X167))&rintersect(X164,X165))=>?[X168, X169]:((((((ron(X169,X165)&ron(X169,X164))&rpoint(X169))&ron(X168,X164))&rpoint(X168))&ron(X168,X165))&X169!=X168))). 0.39/0.61 fof(i_0_28, axiom, ![X170, X171, X172, X173, X174, X175]:((((((((((((vangle(X174,X175,X173)=vangle(X171,X172,X170)&vangle(X173,X174,X175)=vangle(X170,X171,X172))&vf(X175,X173)=vf(X172,X170))&vf(X174,X175)=vf(X171,X172))&vf(X173,X174)=vf(X170,X171))&?[X176]:(X174=X176&rpoint(X176)))&?[X177]:(X173=X177&rpoint(X177)))&?[X178]:(rpoint(X178)&X171=X178))&?[X179]:(rpoint(X179)&X179=X170))&?[X180]:(X180=X172&rpoint(X180)))&?[X181]:(rpoint(X181)&X181=X175))&vangle(X172,X170,X171)=vangle(X175,X173,X174))=>vg(X173,X174,X175)=vg(X170,X171,X172))). 0.39/0.61 fof(i_0_29, axiom, ![X182, X183, X184, X185, X186, X187]:(X184=X182<=((((((X182=X183&rreal(X183))&rreal(X185))&X185=X184)&rreal(X187))&X186=X187)&vplus(X184,X186)=vplus(X182,X186)))). 0.39/0.61 fof(i_0_30, axiom, ![X188, X189, X190, X191, X192, X193, X194]:((((((((((((((X189!=X190&ron(X189,X193))&ron(X188,X191))&rcircle(X194))&X192=X191)&?[X195]:(rpoint(X195)&X195=X190))&?[X196]:(X189=X196&rpoint(X196)))&?[X197]:(rpoint(X197)&X197=X188))&rline(X192))&X193=X194)&ron(X189,X191))&ron(X190,X191))&rinside(X188,X193))&ron(X190,X193))=>rR(X188,X189,X190))). 0.39/0.61 fof(i_0_31, axiom, ![X198, X199, X200]:(((?[X201]:(X201=X199&rpoint(X201))&?[X202]:(X198=X202&rpoint(X202)))&?[X203]:(rpoint(X203)&X203=X200))=>(rleq(v0,vangle(X198,X199,X200))&rleq(vangle(X198,X199,X200),vplus(vperp,vperp))))). 0.39/0.61 fof(i_0_32, axiom, ![X204, X205, X206, X207, X208, X209]:(rless(vplus(X204,X208),vplus(X206,X208))<=((((((rless(X204,X206)&X209=X208)&rreal(X209))&X206=X207)&rreal(X207))&rreal(X205))&X205=X204))). 0.39/0.61 fof(i_0_33, axiom, ![X210, X211, X212, X213, X214]:(rR(X211,X210,X212)<=(((((((((((((~(rS(X210,X212,X213))&?[X215]:(X215=X213&rline(X215)))&X211!=X212)&?[X216]:(X216=X212&rpoint(X216)))&?[X217]:(rpoint(X217)&X210=X217))&?[X218]:(rpoint(X218)&X218=X211))&X211!=X210)&X210!=X212)&?[X219]:(rline(X219)&X219=X214))&X213!=X214)&ron(X210,X214))&ron(X212,X214))&ron(X211,X214))&ron(X211,X213)))). 0.39/0.61 fof(i_0_34, axiom, ![X220, X221, X222, X223]:(?[X224]:((rpoint(X224)&ron(X224,X220))&X222!=X224)<=((((rpoint(X223)&X220=X221)&rcircle(X221))&X222=X223)&ron(X222,X220)))). 0.39/0.61 fof(i_0_35, axiom, ![X225, X226, X227, X228]:((((((rR(X226,X225,X227)&?[X229]:(X227=X229&rpoint(X229)))&?[X230]:(X226=X230&rpoint(X230)))&?[X231]:(rpoint(X231)&X231=X225))&?[X232]:(rpoint(X232)&X228=X232))&rR(X228,X225,X226))=>rR(X228,X225,X227))). 0.39/0.61 fof(i_0_36, axiom, ![X233, X234, X235, X236, X237, X238, X239, X240]:(((((((((((((((((rS(X238,X240,X235)&rS(X239,X240,X234))&rS(X237,X238,X235))&ron(X236,X233))&?[X241]:(rpoint(X241)&X241=X237))&?[X242]:(rline(X242)&X242=X235))&?[X243]:(rline(X243)&X243=X233))&?[X244]:(X234=X244&rline(X244)))&?[X245]:(rpoint(X245)&X245=X236))&?[X246]:(X246=X238&rpoint(X246)))&?[X247]:(X247=X239&rpoint(X247)))&ron(X236,X234))&ron(X236,X235))&ron(X237,X233))&ron(X238,X234))&ron(X239,X235))&rS(X238,X239,X233))=>rS(X238,X240,X233))). 0.39/0.61 fof(i_0_37, axiom, ![X248, X249, X250, X251]:(rintersect(X250,X251)<=((((((((~(rinside(X249,X251))&?[X252]:(X251=X252&rcircle(X252)))&?[X253]:(X253=X249&rpoint(X253)))&?[X254]:(X254=X248&rpoint(X254)))&?[X255]:(X255=X250&rcircle(X255)))&ron(X248,X250))&(rinside(X249,X250)|ron(X249,X250)))&rinside(X248,X251))&~(ron(X249,X251))))). 0.39/0.61 fof(i_0_38, axiom, ![X256, X257, X258, X259, X260]:(((((((((~(ron(X257,X259))&~(ron(X256,X259)))&?[X261]:(rpoint(X261)&X261=X258))&?[X262]:(rpoint(X262)&X256=X262))&?[X263]:(X257=X263&rpoint(X263)))&rline(X260))&X260=X259)&~(ron(X258,X259)))&~(rS(X256,X257,X259)))=>(rS(X256,X258,X259)|rS(X257,X258,X259)))). 0.39/0.61 fof(i_0_39, axiom, ![X264, X265, X266, X267, X268, X269]:((((((((rinside(X264,X266)&rline(X269))&X265=X264)&rpoint(X265))&rcircle(X267))&X267=X266)&X269=X268)&ron(X264,X268))=>rintersect(X268,X266))). 0.39/0.61 fof(i_0_40, axiom, ![X270, X271, X272, X273]:((((X273=X272&rreal(X273))&X271=X270)&rreal(X271))=>(rless(X270,X272)|rless(X272,X270)|X272=X270))). 0.39/0.61 fof(i_0_41, axiom, ![X274, X275, X276, X277, X278, X279, X280]:(((((((((((rinside(X274,X279)|ron(X274,X279))&X279=X280)&?[X281]:(X281=X276&rpoint(X281)))&?[X282]:(X275=X282&rpoint(X282)))&?[X283]:(X283=X274&rpoint(X283)))&rline(X278))&X277=X278)&rcircle(X280))&(ron(X275,X279)|rinside(X275,X279)))&rR(X276,X274,X275))=>rinside(X276,X279))). 0.39/0.61 fof(i_0_42, axiom, ![X284, X285, X286, X287]:(?[X288]:((rpoint(X288)&ron(X288,X284))&ron(X288,X286))<=((((rintersect(X284,X286)&X285=X284)&rline(X285))&rline(X287))&X286=X287))). 0.39/0.61 fof(i_0_43, axiom, ![X289, X290, X291, X292]:(?[X293]:(((ron(X293,X289)&rpoint(X293))&X293!=X291)&X292!=X293)<=(((((ron(X291,X289)&X290=X289)&rcircle(X290))&?[X294]:(X291=X294&rpoint(X294)))&?[X295]:(rpoint(X295)&X295=X292))&ron(X292,X289)))). 0.39/0.61 fof(i_0_44, axiom, ![X296, X297, X298, X299]:(((((rS(X296,X297,X298)&?[X300]:(X300=X297&rpoint(X300)))&?[X301]:(X301=X296&rpoint(X301)))&rline(X299))&X298=X299)=>rS(X297,X296,X298))). 0.39/0.61 fof(i_0_45, axiom, ![X302, X303, X304, X305, X306, X307]:(((rS(X304,X305,X306)&rS(X303,X305,X307))<=>vangle(X303,X302,X304)=vplus(vangle(X303,X302,X305),vangle(X305,X302,X304)))<=((((((((((((((X307!=X306&~(ron(X305,X306)))&X304!=X302)&X303!=X302)&ron(X303,X306))&ron(X302,X307))&?[X308]:(rline(X308)&X306=X308))&?[X309]:(rpoint(X309)&X305=X309))&?[X310]:(X304=X310&rpoint(X310)))&?[X311]:(rpoint(X311)&X303=X311))&?[X312]:(X302=X312&rpoint(X312)))&?[X313]:(X307=X313&rline(X313)))&ron(X302,X306))&ron(X304,X307))&~(ron(X305,X307))))). 0.39/0.61 fof(i_0_46, axiom, ![X314, X315]:(rcenter(X314,X315)=>?[X316, X317]:(((X317=X315&rcircle(X317))&X316=X314)&rpoint(X316)))). 0.39/0.61 fof(i_0_47, axiom, ![X318, X319, X320, X321, X322, X323]:((((((((X322=X323&rS(X322,X320,X318))&rline(X319))&X319=X318)&rpoint(X321))&~(ron(X320,X318)))&rpoint(X323))&X321=X320)=>?[X324]:(((X324!=X322&X320!=X324)&rpoint(X324))&rS(X324,X320,X318)))). 0.39/0.61 fof(i_0_48, axiom, rpoint(vd14)). 0.39/0.61 fof(i_0_49, axiom, ![X325, X326, X327, X328]:(((((X327=X328&rline(X328))&X325=X326)&rcircle(X326))&rintersect(X327,X325))=>?[X329]:((ron(X329,X327)&rpoint(X329))&ron(X329,X325)))). 0.39/0.61 fof(i_0_50, axiom, ![X330, X331, X332, X333, X334]:((((((((~(rinside(X332,X333))&rcircle(X334))&?[X335]:(rpoint(X335)&X332=X335))&?[X336]:(rpoint(X336)&X331=X336))&?[X337]:(X330=X337&rpoint(X337)))&X333=X334)&(rinside(X330,X333)|ron(X330,X333)))&rR(X332,X330,X331))=>(~(ron(X331,X333))&~(ron(X331,X333))))). 0.39/0.61 fof(i_0_51, axiom, ![X338, X339, X340, X341, X342, X343]:((vg(X338,X341,X339)=vplus(vg(X338,X340,X341),vg(X341,X340,X339))<=>rR(X340,X338,X339))<=((((((((((((~(ron(X341,X342))&X340!=X341)&X339!=X341)&X338!=X341)&X340!=X338)&X339!=X338)&?[X344]:(rpoint(X344)&X344=X341))&?[X345]:(rpoint(X345)&X345=X339))&?[X346]:(X338=X346&rpoint(X346)))&?[X347]:(X340=X347&rpoint(X347)))&X340!=X339)&rline(X343))&X343=X342))). 0.39/0.61 fof(i_0_52, axiom, ![X348, X349, X350, X351]:(((((rcircle(X349)&X348=X349)&rline(X351))&X351=X350)&rintersect(X350,X348))=>?[X352, X353]:((((((X352!=X353&ron(X353,X348))&ron(X353,X350))&ron(X352,X348))&ron(X352,X350))&rpoint(X352))&rpoint(X353)))). 0.39/0.61 fof(i_0_53, axiom, ![X354, X355, X356, X357, X358, X359, X360, X361]:(?[X362]:((((X360!=X362&X362!=X358)&X356!=X362)&rS(X362,X356,X354))&rpoint(X362))<=((((((((((X357=X356&X360=X361)&rS(X360,X356,X354))&rpoint(X361))&~(ron(X356,X354)))&rpoint(X357))&rline(X355))&X354=X355)&rpoint(X359))&rS(X358,X356,X354))&X359=X358))). 0.39/0.61 fof(i_0_54, axiom, ![X363, X364, X365, X366, X367, X368, X369, X370]:(((((((((((((~(rinside(X369,X363))&rpoint(X370))&X367=X368)&rpoint(X368))&X365=X366)&rline(X366))&X363=X364)&rcircle(X364))&rinside(X367,X363))&ron(X367,X365))&X370=X369)&~(ron(X369,X363)))&ron(X369,X365))=>?[X371]:(((ron(X371,X363)&ron(X371,X365))&rpoint(X371))&rR(X371,X367,X369)))). 0.39/0.61 fof(i_0_55, axiom, ![X372, X373]:(rleq(v0,vf(X372,X373))<=(?[X374]:(X372=X374&rpoint(X374))&?[X375]:(rpoint(X375)&X375=X373)))). 0.39/0.61 fof(i_0_56, axiom, ![X376, X377, X378]:(((?[X379]:(X379=X376&rpoint(X379))&?[X380]:(rpoint(X380)&X380=X377))&?[X381]:(X381=X378&rpoint(X381)))=>?[X382]:(rreal(X382)&vg(X376,X377,X378)=X382))). 0.39/0.61 fof(i_0_57, axiom, ![X383, X384, X385, X386, X387, X388]:(((((((((X388=X387&rpoint(X388))&ron(X386,X383))&?[X389]:(X386=X389&rpoint(X389)))&?[X390]:(rpoint(X390)&X385=X390))&X384=X383)&rline(X384))&ron(X385,X383))&rR(X386,X385,X387))=>?[X391]:((X387!=X391&rR(X386,X385,X391))&rpoint(X391)))). 0.39/0.61 fof(i_0_58, axiom, ![X392, X393, X394, X395, X396]:(ron(X393,X395)<=(((((((X396=X395&ron(X394,X395))&rline(X396))&?[X397]:(X397=X393&rpoint(X397)))&?[X398]:(rpoint(X398)&X392=X398))&?[X399]:(rpoint(X399)&X399=X394))&rR(X393,X392,X394))&ron(X392,X395)))). 0.39/0.61 fof(i_0_59, axiom, ![X400, X401]:(((X401!=X400&?[X402]:(X401=X402&rpoint(X402)))&?[X403]:(X400=X403&rpoint(X403)))=>?[X404]:((ron(X401,X404)&rcenter(X400,X404))&rcircle(X404)))). 0.39/0.61 fof(i_0_60, axiom, ![X405, X406, X407, X408]:(?[X409]:((((X408!=X409&rpoint(X409))&X409!=X405)&X409!=X406)&X407!=X409)<=(((?[X410]:(rpoint(X410)&X407=X410)&?[X411]:(rpoint(X411)&X405=X411))&?[X412]:(X406=X412&rpoint(X412)))&?[X413]:(X413=X408&rpoint(X413))))). 0.39/0.61 fof(i_0_61, axiom, ![X414, X415]:(rcenter(X414,X415)=>rinside(X414,X415))). 0.39/0.61 fof(i_0_62, axiom, ![X416, X417, X418, X419, X420, X421, X422]:((((((((((((((((((X416!=X419&X416!=X418)&X416!=X417)&ron(X416,X421))&?[X423]:(rline(X423)&X422=X423))&?[X424]:(X424=X419&rpoint(X424)))&?[X425]:(X425=X418&rpoint(X425)))&?[X426]:(rpoint(X426)&X426=X417))&?[X427]:(X416=X427&rpoint(X427)))&?[X428]:(rpoint(X428)&X420=X428))&?[X429]:(X429=X421&rline(X429)))&ron(X417,X421))&ron(X419,X421))&ron(X418,X422))&ron(X420,X422))&X416!=X420)&~(rR(X416,X417,X419)))&~(rR(X416,X418,X420)))=>vangle(X419,X416,X420)=vangle(X417,X416,X418))). 0.39/0.61 fof(i_0_63, axiom, ![X430, X431, X432, X433]:(X432=X433<=(((rcenter(X432,X430)&rcircle(X431))&X430=X431)&rcenter(X433,X430)))). 0.39/0.61 fof(i_0_64, axiom, ![X434, X435, X436, X437]:((((((rR(X436,X435,X437)&rR(X435,X434,X436))&?[X438]:(X436=X438&rpoint(X438)))&?[X439]:(X439=X435&rpoint(X439)))&?[X440]:(rpoint(X440)&X440=X434))&?[X441]:(X441=X437&rpoint(X441)))=>rR(X435,X434,X437))). 0.39/0.61 fof(i_0_65, axiom, ((ron(vd1057,vd1061)&rcircle(vd1061))&rcenter(vd1055,vd1061))). 0.39/0.61 fof(i_0_66, axiom, ![X442, X443, X444, X445, X446, X447, X448, X449]:((((((((((((X446!=X448&X449=X448)&ron(X446,X444))&rinside(X446,X442))&X446=X447)&X445=X444)&rline(X445))&rcircle(X443))&X443=X442)&rpoint(X447))&rpoint(X449))&ron(X448,X444))=>?[X450]:(((rpoint(X450)&ron(X450,X442))&ron(X450,X444))&rR(X446,X450,X448)))). 0.39/0.61 fof(i_0_67, axiom, ![X451, X452, X453, X454, X455, X456, X457, X458]:((((((((((((ron(X453,X457)&ron(X451,X457))&X455!=X451)&rpoint(X456))&X453=X454)&X451=X452)&rpoint(X452))&rpoint(X454))&X455=X456)&rline(X458))&X458=X457)&X451!=X453)=>(v0=vangle(X453,X451,X455)<=>(~(rR(X451,X453,X455))&ron(X455,X457))))). 0.39/0.61 fof(i_0_68, axiom, ![X459, X460, X461, X462, X463, X464, X465, X466, X467, X468, X469, X470, X471, X472, X473, X474, X475, X476]:((vangle(X469,X470,X471)=vangle(X472,X473,X474)&vf(X467,X468)=vf(X465,X466))<=((((((((((((((((((((((((~(ron(X464,X475))&ron(X463,X475))&ron(X462,X475))&rline(X476))&?[X477]:(rpoint(X477)&X477=X474))&?[X478]:(rpoint(X478)&X478=X473))&?[X479]:(X472=X479&rpoint(X479)))&?[X480]:(rpoint(X480)&X471=X480))&?[X481]:(X470=X481&rpoint(X481)))&?[X482]:(X482=X469&rpoint(X482)))&?[X483]:(rpoint(X483)&X466=X483))&?[X484]:(rpoint(X484)&X463=X484))&?[X485]:(rpoint(X485)&X462=X485))&X459!=X460)&?[X486]:(rpoint(X486)&X486=X460))&?[X487]:(X459=X487&rpoint(X487)))&?[X488]:(rpoint(X488)&X461=X488))&X459!=X461)&X461!=X460)&?[X489]:(rpoint(X489)&X464=X489))&?[X490]:(X490=X465&rpoint(X490)))&?[X491]:(X467=X491&rpoint(X491)))&?[X492]:(rpoint(X492)&X468=X492))&![X493, X494, X495]:((vf(X465,X466)=vf(X467,X468)&vangle(X469,X470,X471)=vangle(X472,X473,X474))<=((((((((((((vf(X460,X461)=vf(X494,X495)&vf(X493,X494)=vf(X459,X460))&vangle(X494,X493,X495)=vangle(X460,X459,X461))&rpoint(X495))&rpoint(X493))&rpoint(X494))&X462=X493)&vangle(X495,X494,X493)=vangle(X461,X460,X459))&vangle(X493,X495,X494)=vangle(X459,X461,X460))&vf(X493,X495)=vf(X459,X461))&ron(X494,X475))&~(rR(X462,X494,X463)))&rS(X495,X464,X475))))&X476=X475))). 0.39/0.61 fof(i_0_69, axiom, ![X496, X497]:((rcircle(X497)&X496=X497)=>?[X498]:(rpoint(X498)&ron(X498,X496)))). 0.39/0.61 fof(i_0_70, axiom, ![X499, X500, X501, X502, X503, X504, X505, X506]:(((((((((((((((((rS(X499,X502,X505)&X500!=X501)&ron(X501,X506))&ron(X500,X505))&?[X507]:(X507=X505&rline(X507)))&?[X508]:(X504=X508&rline(X508)))&?[X509]:(rpoint(X509)&X509=X499))&?[X510]:(X510=X500&rpoint(X510)))&?[X511]:(X501=X511&rpoint(X511)))&?[X512]:(X502=X512&rpoint(X512)))&?[X513]:(X513=X503&rpoint(X513)))&?[X514]:(X506=X514&rline(X514)))&ron(X499,X504))&ron(X500,X504))&ron(X501,X505))&ron(X502,X506))&rless(vplus(vangle(X499,X500,X501),vangle(X500,X501,X502)),vplus(vperp,vperp)))=>((rS(X503,X499,X505)<=(ron(X503,X505)&ron(X503,X504)))&rintersect(X504,X505)))). 0.39/0.61 fof(i_0_71, axiom, vd684=v0). 0.39/0.61 fof(i_0_72, axiom, ![X515, X516]:(?[X517]:(X515!=X517&rpoint(X517))<=(rpoint(X516)&X516=X515))). 0.39/0.61 fof(i_0_73, axiom, ![X518, X519]:((rreal(X519)&X518=X519)=>~(rless(X518,X518)))). 0.39/0.61 fof(i_0_74, axiom, ![X520, X521, X522, X523]:(?[X524]:((rS(X524,X522,X520)&rpoint(X524))&X524!=X522)<=((((X523=X522&rpoint(X523))&rline(X521))&X520=X521)&~(ron(X522,X520))))). 0.39/0.61 fof(i_0_75, axiom, ![X525, X526]:((rcircle(X526)&X526=X525)=>?[X527]:((~(rinside(X527,X525))&rpoint(X527))&~(ron(X527,X525))))). 0.39/0.61 fof(i_0_76, axiom, ![X528, X529, X530, X531, X532]:((((((((rline(X532)&?[X533]:(rpoint(X533)&X528=X533))&?[X534]:(X529=X534&rpoint(X534)))&?[X535]:(X535=X530&rpoint(X535)))&rR(X529,X528,X530))&ron(X528,X531))&ron(X529,X531))&X531=X532)=>ron(X530,X531))). 0.39/0.61 fof(i_0_77, axiom, ![X536, X537, X538, X539]:((((((((rinside(X537,X538)|ron(X537,X538))&?[X540]:(X539=X540&rcircle(X540)))&?[X541]:(rpoint(X541)&X536=X541))&?[X542]:(X537=X542&rpoint(X542)))&?[X543]:(X538=X543&rcircle(X543)))&(ron(X536,X538)|rinside(X536,X538)))&~(?[X544]:rS(X536,X537,X544)))=>?[X545]:rintersect(X545,X538))). 0.39/0.61 fof(i_0_78, axiom, ![X546, X547]:(vplus(X546,v0)=X546<=(rreal(X547)&X547=X546))). 0.39/0.61 fof(i_0_79, axiom, ![X548, X549, X550, X551]:(((((rpoint(X551)&X549=X548)&rline(X549))&X551=X550)&ron(X550,X548))=>?[X552]:((X552!=X550&rpoint(X552))&ron(X552,X548)))). 0.39/0.61 fof(i_0_80, axiom, ![X553, X554, X555, X556]:(~(ron(X553,X555))<=((((X555=X556&?[X557]:(X557=X553&rpoint(X557)))&?[X558]:(rpoint(X558)&X554=X558))&rline(X556))&rS(X553,X554,X555)))). 0.39/0.61 fof(i_0_81, axiom, ![X559, X560]:(?[X561]:((rline(X561)&ron(X559,X561))&ron(X560,X561))<=((?[X562]:(rpoint(X562)&X560=X562)&?[X563]:(X563=X559&rpoint(X563)))&X560!=X559))). 0.39/0.61 fof(i_0_82, axiom, ![X564, X565, X566, X567, X568]:(rS(X565,X566,X567)<=(((((((~(ron(X565,X567))&rR(X565,X564,X566))&rline(X568))&?[X569]:(X564=X569&rpoint(X569)))&?[X570]:(rpoint(X570)&X565=X570))&?[X571]:(rpoint(X571)&X566=X571))&X567=X568)&ron(X564,X567)))). 0.39/0.61 fof(i_0_83, axiom, ![X572, X573]:((?[X574]:(rpoint(X574)&X574=X573)&?[X575]:(X572=X575&rpoint(X575)))=>?[X576]:(rreal(X576)&X576=vf(X572,X573)))). 0.39/0.61 fof(i_0_84, axiom, ![X577, X578, X579, X580, X581, X582]:(?[X583]:(((X583!=X581&X583!=X579)&ron(X583,X577))&rpoint(X583))<=(((((((rline(X578)&X577=X578)&rpoint(X580))&X579=X580)&rpoint(X582))&X582=X581)&ron(X579,X577))&ron(X581,X577)))). 0.39/0.61 fof(i_0_85, axiom, ![X584, X585]:((X584=X585&rcircle(X585))=>?[X586]:(rpoint(X586)&rinside(X586,X584)))). 0.39/0.61 fof(i_0_86, axiom, ![X587, X588]:((X588=X587<=>v0=vf(X587,X588))<=(?[X589]:(rpoint(X589)&X589=X587)&?[X590]:(rpoint(X590)&X590=X588)))). 0.39/0.61 fof(i_0_87, axiom, ![X591, X592, X593, X594, X595]:(~(rS(X591,X593,X594))<=((((((rR(X592,X591,X593)&?[X596]:(X593=X596&rpoint(X596)))&?[X597]:(X597=X592&rpoint(X597)))&?[X598]:(X598=X591&rpoint(X598)))&rline(X595))&X594=X595)&ron(X592,X594)))). 0.39/0.61 fof(i_0_88, axiom, ![X599, X600, X601, X602, X603]:((rR(X601,X599,X600)|rR(X599,X600,X601)|rR(X600,X599,X601))<=((((((((((ron(X600,X602)&X601!=X599)&?[X604]:(X601=X604&rpoint(X604)))&?[X605]:(X605=X599&rpoint(X605)))&?[X606]:(X606=X600&rpoint(X606)))&X599!=X600)&X600!=X601)&rline(X603))&ron(X599,X602))&ron(X601,X602))&X602=X603))). 0.39/0.61 fof(i_0_89, axiom, ![X607, X608, X609, X610]:((((rreal(X608)&X608=X607)&rreal(X610))&X610=X609)=>?[X611]:(X611=vplus(X607,X609)&rreal(X611)))). 0.39/0.61 fof(i_0_90, negated_conjecture, ~(![X612]:(((ron(vd1057,X612)&rcenter(vd1055,X612))&rcircle(X612))=>X612=vd1061))). 0.39/0.61 fof(i_0_91, axiom, ![X613, X614, X615, X616, X617, X618, X619]:((((((((((ron(X617,X615)&rcenter(X617,X613))&X615=X616)&?[X620]:(rcircle(X620)&X613=X620))&?[X621]:(rcircle(X621)&X614=X621))&rline(X616))&rintersect(X613,X614))&rcenter(X618,X614))&ron(X618,X615))&~(ron(X619,X615)))=>?[X622]:(((rS(X622,X619,X615)&rpoint(X622))&ron(X622,X613))&ron(X622,X614)))). 0.39/0.61 fof(i_0_92, axiom, ![X623, X624, X625, X626]:((rinside(X623,X626)<=>rless(vf(X625,X623),vf(X625,X624)))<=(((?[X627]:(rpoint(X627)&X623=X627)&?[X628]:(X624=X628&rpoint(X628)))&rcenter(X625,X626))&ron(X624,X626)))). 0.39/0.61 fof(i_0_93, axiom, ![X629, X630, X631, X632, X633, X634]:((vangle(X629,X631,X632)=vperp<=>vangle(X629,X631,X632)=vangle(X632,X631,X630))<=(((((((~(ron(X632,X633))&rR(X631,X629,X630))&X634=X633)&rline(X634))&?[X635]:(X635=X631&rpoint(X635)))&?[X636]:(rpoint(X636)&X636=X629))&?[X637]:(X637=X630&rpoint(X637)))&?[X638]:(rpoint(X638)&X632=X638)))). 0.39/0.61 fof(i_0_94, axiom, ![X639, X640, X641, X642]:(((((((X641!=X642&ron(X642,X639))&rline(X640))&X639=X640)&?[X643]:(X641=X643&rpoint(X643)))&?[X644]:(rpoint(X644)&X642=X644))&ron(X641,X639))=>?[X645]:(rpoint(X645)&rR(X642,X641,X645)))). 0.39/0.61 fof(i_0_95, axiom, ![X646, X647, X648, X649, X650, X651]:(rgeq(vg(X646,X648,X650),v0)<=(((((X649=X648&rpoint(X649))&rpoint(X647))&X647=X646)&rpoint(X651))&X651=X650))). 0.39/0.61 fof(i_0_96, axiom, ![X652, X653, X654, X655]:(((((((?[X656]:(X656=X655&rpoint(X656))&?[X657]:(rpoint(X657)&X654=X657))&rline(X653))&X652=X653)&ron(X654,X652))&ron(X655,X652))&X655!=X654)=>?[X658]:(rpoint(X658)&rR(X658,X654,X655)))). 0.39/0.61 fof(i_0_97, axiom, ![X659, X660, X661, X662, X663]:((v0=vg(X659,X660,X661)<=>ron(X661,X662))<=(((((((ron(X660,X662)&X659!=X660)&rline(X663))&?[X664]:(rpoint(X664)&X664=X661))&?[X665]:(rpoint(X665)&X659=X665))&?[X666]:(X666=X660&rpoint(X666)))&X662=X663)&ron(X659,X662)))). 0.39/0.61 fof(i_0_98, axiom, ![X667, X668, X669, X670]:((((((ron(X668,X670)&?[X671]:(X671=X668&rpoint(X671)))&?[X672]:(X672=X667&rpoint(X672)))&ron(X667,X669))&rinside(X668,X669))&rinside(X667,X670))=>rintersect(X669,X670))). 0.39/0.61 fof(i_0_99, axiom, ![X673, X674, X675, X676, X677]:(rS(X673,X674,X676)<=((((((rS(X673,X675,X676)&X676=X677)&rline(X677))&?[X678]:(X675=X678&rpoint(X678)))&?[X679]:(X673=X679&rpoint(X679)))&?[X680]:(X674=X680&rpoint(X680)))&rR(X674,X673,X675)))). 0.39/0.61 fof(i_0_100, axiom, ![X681, X682, X683, X684, X685, X686]:(?[X687]:(((X685!=X687&rpoint(X687))&rR(X687,X683,X684))&X687!=X686)<=((((((((((rR(X685,X683,X684)&ron(X683,X681))&?[X688]:(X685=X688&rpoint(X688)))&?[X689]:(rpoint(X689)&X683=X689))&rline(X682))&X682=X681)&?[X690]:(X684=X690&rpoint(X690)))&?[X691]:(rpoint(X691)&X686=X691))&ron(X684,X681))&ron(X685,X681))&rR(X686,X683,X684)))). 0.39/0.61 fof(i_0_101, axiom, ![X692, X693, X694, X695, X696]:(?[X697]:((rR(X697,X694,X695)&rpoint(X697))&X697!=X696)<=(((((((ron(X695,X692)&?[X698]:(rpoint(X698)&X698=X695))&?[X699]:(X694=X699&rpoint(X699)))&rline(X693))&X692=X693)&?[X700]:(rpoint(X700)&X696=X700))&ron(X694,X692))&rR(X696,X694,X695)))). 0.39/0.61 fof(i_0_102, axiom, ![X701, X702, X703, X704, X705, X706, X707, X708]:(((((((((((((((((ron(X705,X707)&X707=X708)&rline(X708))&ron(X703,X702))&?[X709]:(rpoint(X709)&X704=X709))&?[X710]:(X710=X703&rpoint(X710)))&?[X711]:(rcircle(X711)&X711=X702))&?[X712]:(rcircle(X712)&X701=X712))&X701!=X702)&rintersect(X701,X702))&ron(X703,X701))&ron(X704,X701))&ron(X704,X702))&X703!=X704)&rcenter(X705,X701))&rcenter(X706,X702))&ron(X706,X707))=>~(rS(X703,X704,X707)))). 0.39/0.61 fof(i_0_103, axiom, ![X713, X714, X715, X716, X717, X718]:((((((ron(X717,X716)&X717=X718)&rpoint(X718))&rcenter(X715,X716))&X713=X714)&rpoint(X714))=>(vf(X715,X713)=vf(X715,X717)<=>ron(X713,X716)))). 0.39/0.61 fof(i_0_104, axiom, ![X719, X720, X721, X722]:(((((~(ron(X721,X719))&X719=X720)&rline(X720))&rpoint(X722))&X722=X721)=>?[X723]:(~(rS(X723,X721,X719))&rpoint(X723)))). 0.39/0.61 fof(i_0_105, axiom, ![X724, X725, X726, X727]:(((((X726=X727&X725=X724)&rpoint(X725))&rcircle(X727))&rinside(X724,X726))=>~(ron(X724,X726)))). 0.39/0.61 0.39/0.61 Branch E-TAB/PROVER/tmp/etableau/tableau_branches/b0: 0.39/0.61 0.39/0.61 fof(i_0_106, plain, ?[X612]:(((ron(vd1057,X612)&rcenter(vd1055,X612))&rcircle(X612))&X612!=vd1061)). 0.39/0.61 fof(i_0_108, plain, (((ron(vd1057,esk1_0)&rcenter(vd1055,esk1_0))&rcircle(esk1_0))&esk1_0!=vd1061)). 0.39/0.61 fof(i_0_109, plain, ((ron(vd1057,esk1_0)&rcenter(vd1055,esk1_0))&rcircle(esk1_0))). 0.39/0.61 fof(i_0_110, plain, esk1_0!=vd1061). 0.39/0.61 fof(i_0_111, plain, (ron(vd1057,esk1_0)&rcenter(vd1055,esk1_0))). 0.39/0.61 fof(i_0_112, plain, rcircle(esk1_0)). 0.39/0.61 fof(i_0_113, plain, ron(vd1057,esk1_0)). 0.39/0.61 fof(i_0_114, plain, rcenter(vd1055,esk1_0)). 0.39/0.61 0.47/0.97 # No SInE strategy applied 0.82/1.02 E-TAB/PROVER/./eprover /export/starexec/sandbox2/benchmark/theBenchmark.p 0.82/1.02 E/PROVER/./eprover --auto --output-file=E-TAB/PROVER/tmp/etableau/output/0 --memory-limit=13000 --cpu-limit=30 E-TAB/PROVER/tmp/etableau/tableau_branches/b0 0.82/1.02 Contradiction in branch 0 0.82/1.02 1/1 0.82/1.02 % SZS status Theorem 0.82/1.03 EOF