TSTP Solution File: GEO038-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO038-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n028.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 22:42:35 EDT 2023
% Result : Unsatisfiable 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO038-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 20:46:56 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.60 %-------------------------------------------
% 0.20/0.60 % File :CSE---1.6
% 0.20/0.60 % Problem :theBenchmark
% 0.20/0.60 % Transform :cnf
% 0.20/0.60 % Format :tptp:raw
% 0.20/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.60
% 0.20/0.60 % Result :Theorem 0.000000s
% 0.20/0.60 % Output :CNFRefutation 0.000000s
% 0.20/0.60 %-------------------------------------------
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 % File : GEO038-3 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.61 % Domain : Geometry
% 0.20/0.61 % Problem : Corollary 1 to the segment contruction axiom
% 0.20/0.61 % Version : [Qua89] axioms : Augmented.
% 0.20/0.61 % English :
% 0.20/0.61
% 0.20/0.61 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.20/0.61 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.20/0.61 % Source : [Qua89]
% 0.20/0.61 % Names : B0 [Qua89]
% 0.20/0.61
% 0.20/0.61 % Status : Unsatisfiable
% 0.20/0.61 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.06 v5.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.08 v2.4.0, 0.00 v2.0.0
% 0.20/0.61 % Syntax : Number of clauses : 30 ( 10 unt; 5 nHn; 25 RR)
% 0.20/0.61 % Number of literals : 77 ( 9 equ; 44 neg)
% 0.20/0.61 % Maximal clause size : 8 ( 2 avg)
% 0.20/0.61 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.61 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.20/0.61 % Number of functors : 13 ( 13 usr; 8 con; 0-6 aty)
% 0.20/0.61 % Number of variables : 110 ( 4 sgn)
% 0.20/0.61 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.20/0.61
% 0.20/0.61 % Comments :
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 %----Include Tarski geometry axioms
% 0.20/0.61 include('Axioms/GEO002-0.ax').
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 cnf(d1,axiom,
% 0.20/0.61 equidistant(U,V,U,V) ).
% 0.20/0.61
% 0.20/0.61 cnf(d2,axiom,
% 0.20/0.61 ( ~ equidistant(U,V,W,X)
% 0.20/0.61 | equidistant(W,X,U,V) ) ).
% 0.20/0.61
% 0.20/0.61 cnf(d3,axiom,
% 0.20/0.61 ( ~ equidistant(U,V,W,X)
% 0.20/0.61 | equidistant(V,U,W,X) ) ).
% 0.20/0.61
% 0.20/0.61 cnf(d4_1,axiom,
% 0.20/0.61 ( ~ equidistant(U,V,W,X)
% 0.20/0.61 | equidistant(U,V,X,W) ) ).
% 0.20/0.61
% 0.20/0.61 cnf(d4_2,axiom,
% 0.20/0.61 ( ~ equidistant(U,V,W,X)
% 0.20/0.61 | equidistant(V,U,X,W) ) ).
% 0.20/0.61
% 0.20/0.61 cnf(d4_3,axiom,
% 0.20/0.61 ( ~ equidistant(U,V,W,X)
% 0.20/0.61 | equidistant(W,X,V,U) ) ).
% 0.20/0.61
% 0.20/0.61 cnf(d4_4,axiom,
% 0.20/0.61 ( ~ equidistant(U,V,W,X)
% 0.20/0.61 | equidistant(X,W,U,V) ) ).
% 0.20/0.61
% 0.20/0.61 cnf(d4_5,axiom,
% 0.20/0.61 ( ~ equidistant(U,V,W,X)
% 0.20/0.61 | equidistant(X,W,V,U) ) ).
% 0.20/0.61
% 0.20/0.61 cnf(d5,axiom,
% 0.20/0.61 ( ~ equidistant(U,V,W,X)
% 0.20/0.61 | ~ equidistant(W,X,Y,Z)
% 0.20/0.61 | equidistant(U,V,Y,Z) ) ).
% 0.20/0.61
% 0.20/0.61 cnf(e1,axiom,
% 0.20/0.61 V = extension(U,V,W,W) ).
% 0.20/0.61
% 0.20/0.61 cnf(y_is_extension,hypothesis,
% 0.20/0.61 y = extension(u,v,w,x) ).
% 0.20/0.61
% 0.20/0.61 cnf(prove_corollary,negated_conjecture,
% 0.20/0.61 ~ between(u,v,y) ).
% 0.20/0.61
% 0.20/0.61 %--------------------------------------------------------------------------
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark
% 0.20/0.61 % SZS output start Proof
% 0.20/0.61 %ClaNum:65(EqnAxiom:35)
% 0.20/0.61 %VarNum:288(SingletonVarNum:110)
% 0.20/0.61 %MaxLitNum:8
% 0.20/0.61 %MaxfuncDepth:1
% 0.20/0.61 %SharedTerms:14
% 0.20/0.61 %goalClause: 45
% 0.20/0.61 %singleGoalClaCount:1
% 0.20/0.61 [42]~P2(a6,a8,a9)
% 0.20/0.61 [43]~P2(a8,a9,a6)
% 0.20/0.61 [44]~P2(a9,a6,a8)
% 0.20/0.61 [45]~P2(a1,a10,a13)
% 0.20/0.61 [36]E(f2(a1,a10,a11,a12),a13)
% 0.20/0.61 [37]P1(x371,x372,x372,x371)
% 0.20/0.61 [38]P1(x381,x382,x381,x382)
% 0.20/0.61 [39]E(f2(x391,x392,x393,x393),x392)
% 0.20/0.61 [40]P2(x401,x402,f2(x401,x402,x403,x404))
% 0.20/0.61 [41]P1(x411,f2(x412,x411,x413,x414),x413,x414)
% 0.20/0.61 [46]~P2(x461,x462,x461)+E(x461,x462)
% 0.20/0.61 [47]~P1(x471,x472,x473,x473)+E(x471,x472)
% 0.20/0.61 [48]~P1(x484,x483,x482,x481)+P1(x481,x482,x483,x484)
% 0.20/0.61 [49]~P1(x493,x494,x492,x491)+P1(x491,x492,x493,x494)
% 0.20/0.61 [50]~P1(x504,x503,x501,x502)+P1(x501,x502,x503,x504)
% 0.20/0.61 [51]~P1(x513,x514,x511,x512)+P1(x511,x512,x513,x514)
% 0.20/0.61 [52]~P1(x522,x521,x524,x523)+P1(x521,x522,x523,x524)
% 0.20/0.61 [53]~P1(x532,x531,x533,x534)+P1(x531,x532,x533,x534)
% 0.20/0.61 [54]~P1(x541,x542,x544,x543)+P1(x541,x542,x543,x544)
% 0.20/0.61 [59]~P2(x595,x591,x594)+~P2(x592,x593,x594)+P2(x591,f7(x592,x593,x594,x591,x595),x592)
% 0.20/0.61 [60]~P2(x605,x604,x603)+~P2(x602,x601,x603)+P2(x601,f7(x602,x601,x603,x604,x605),x605)
% 0.20/0.61 [55]~P1(x555,x556,x551,x552)+P1(x551,x552,x553,x554)+~P1(x555,x556,x553,x554)
% 0.20/0.61 [56]~P1(x561,x562,x565,x566)+P1(x561,x562,x563,x564)+~P1(x565,x566,x563,x564)
% 0.20/0.61 [61]~P2(x614,x612,x613)+~P2(x611,x612,x615)+E(x611,x612)+P2(x611,x613,f3(x611,x614,x612,x613,x615))
% 0.20/0.61 [62]~P2(x623,x622,x624)+~P2(x621,x622,x625)+E(x621,x622)+P2(x621,x623,f4(x621,x623,x622,x624,x625))
% 0.20/0.61 [63]~P2(x633,x632,x634)+~P2(x631,x632,x635)+E(x631,x632)+P2(f4(x631,x633,x632,x634,x635),x635,f3(x631,x633,x632,x634,x635))
% 0.20/0.61 [64]~P2(x643,x644,x645)+~P2(x642,x643,x645)+~P1(x642,x645,x642,x646)+~P1(x642,x643,x642,x641)+P2(x641,f5(x642,x643,x641,x644,x645,x646),x646)
% 0.20/0.61 [65]~P2(x653,x652,x655)+~P2(x651,x653,x655)+~P1(x651,x655,x651,x656)+~P1(x651,x653,x651,x654)+P1(x651,x652,x651,f5(x651,x653,x654,x652,x655,x656))
% 0.20/0.61 [57]P2(x575,x573,x574)+P2(x574,x575,x573)+~P1(x573,x571,x573,x572)+~P1(x575,x571,x575,x572)+~P1(x574,x571,x574,x572)+E(x571,x572)+P2(x573,x574,x575)
% 0.20/0.61 [58]~P2(x581,x582,x583)+~P1(x582,x584,x588,x586)+~P1(x582,x583,x588,x585)+~P1(x581,x584,x587,x586)+~P1(x581,x582,x587,x588)+E(x581,x582)+P1(x583,x584,x585,x586)+~P2(x587,x588,x585)
% 0.20/0.61 %EqnAxiom
% 0.20/0.61 [1]E(x11,x11)
% 0.20/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.61 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 0.20/0.61 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 0.20/0.61 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 0.20/0.61 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 0.20/0.61 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 0.20/0.61 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 0.20/0.61 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 0.20/0.61 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 0.20/0.61 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 0.20/0.61 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 0.20/0.61 [14]~E(x141,x142)+E(f4(x141,x143,x144,x145,x146),f4(x142,x143,x144,x145,x146))
% 0.20/0.61 [15]~E(x151,x152)+E(f4(x153,x151,x154,x155,x156),f4(x153,x152,x154,x155,x156))
% 0.20/0.61 [16]~E(x161,x162)+E(f4(x163,x164,x161,x165,x166),f4(x163,x164,x162,x165,x166))
% 0.20/0.61 [17]~E(x171,x172)+E(f4(x173,x174,x175,x171,x176),f4(x173,x174,x175,x172,x176))
% 0.20/0.62 [18]~E(x181,x182)+E(f4(x183,x184,x185,x186,x181),f4(x183,x184,x185,x186,x182))
% 0.20/0.62 [19]~E(x191,x192)+E(f3(x191,x193,x194,x195,x196),f3(x192,x193,x194,x195,x196))
% 0.20/0.62 [20]~E(x201,x202)+E(f3(x203,x201,x204,x205,x206),f3(x203,x202,x204,x205,x206))
% 0.20/0.62 [21]~E(x211,x212)+E(f3(x213,x214,x211,x215,x216),f3(x213,x214,x212,x215,x216))
% 0.20/0.62 [22]~E(x221,x222)+E(f3(x223,x224,x225,x221,x226),f3(x223,x224,x225,x222,x226))
% 0.20/0.62 [23]~E(x231,x232)+E(f3(x233,x234,x235,x236,x231),f3(x233,x234,x235,x236,x232))
% 0.20/0.62 [24]~E(x241,x242)+E(f7(x241,x243,x244,x245,x246),f7(x242,x243,x244,x245,x246))
% 0.20/0.62 [25]~E(x251,x252)+E(f7(x253,x251,x254,x255,x256),f7(x253,x252,x254,x255,x256))
% 0.20/0.62 [26]~E(x261,x262)+E(f7(x263,x264,x261,x265,x266),f7(x263,x264,x262,x265,x266))
% 0.20/0.62 [27]~E(x271,x272)+E(f7(x273,x274,x275,x271,x276),f7(x273,x274,x275,x272,x276))
% 0.20/0.62 [28]~E(x281,x282)+E(f7(x283,x284,x285,x286,x281),f7(x283,x284,x285,x286,x282))
% 0.20/0.62 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.20/0.62 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.20/0.62 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.20/0.62 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.20/0.62 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.20/0.62 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.20/0.62 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.20/0.62
% 0.20/0.62 %-------------------------------------------
% 0.20/0.62 cnf(67,plain,
% 0.20/0.62 ($false),
% 0.20/0.62 inference(scs_inference,[],[45,36,40,2,35]),
% 0.20/0.62 ['proof']).
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------