TSTP Solution File: GEO055-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO055-3 : 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 : n031.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 22:42:41 EDT 2023
% Result : Unsatisfiable 0.60s 0.67s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO055-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 23:37:56 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.60/0.62 start to proof:theBenchmark
% 0.60/0.66 %-------------------------------------------
% 0.60/0.66 % File :CSE---1.6
% 0.60/0.66 % Problem :theBenchmark
% 0.60/0.66 % Transform :cnf
% 0.60/0.66 % Format :tptp:raw
% 0.60/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.60/0.66
% 0.60/0.66 % Result :Theorem 0.000000s
% 0.60/0.66 % Output :CNFRefutation 0.000000s
% 0.60/0.66 %-------------------------------------------
% 0.60/0.67 %--------------------------------------------------------------------------
% 0.60/0.67 % File : GEO055-3 : TPTP v8.1.2. Released v1.0.0.
% 0.60/0.67 % Domain : Geometry
% 0.60/0.67 % Problem : Corollary 3 to the segment construction axiom
% 0.60/0.67 % Version : [Qua89] axioms : Augmented.
% 0.60/0.67 % English :
% 0.60/0.67
% 0.60/0.67 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.60/0.67 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.60/0.67 % Source : [Qua89]
% 0.60/0.67 % Names : R2.2 [Qua89]
% 0.60/0.67
% 0.60/0.67 % Status : Unsatisfiable
% 0.60/0.67 % Rating : 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v5.5.0, 0.10 v5.4.0, 0.05 v5.3.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.09 v3.7.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.00 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 v2.1.0, 0.00 v2.0.0
% 0.60/0.67 % Syntax : Number of clauses : 31 ( 10 unt; 5 nHn; 25 RR)
% 0.60/0.67 % Number of literals : 79 ( 10 equ; 45 neg)
% 0.60/0.67 % Maximal clause size : 8 ( 2 avg)
% 0.60/0.67 % Maximal term depth : 2 ( 1 avg)
% 0.60/0.67 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.60/0.67 % Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% 0.60/0.67 % Number of variables : 117 ( 6 sgn)
% 0.60/0.67 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.60/0.67
% 0.60/0.67 % Comments :
% 0.60/0.67 %--------------------------------------------------------------------------
% 0.60/0.67 %----Include Tarski geometry axioms
% 0.60/0.67 include('Axioms/GEO002-0.ax').
% 0.60/0.67 %----Include definition of reflection
% 0.60/0.67 include('Axioms/GEO002-2.ax').
% 0.60/0.67 %--------------------------------------------------------------------------
% 0.60/0.67 cnf(d1,axiom,
% 0.60/0.67 equidistant(U,V,U,V) ).
% 0.60/0.67
% 0.60/0.67 cnf(d2,axiom,
% 0.60/0.67 ( ~ equidistant(U,V,W,X)
% 0.60/0.67 | equidistant(W,X,U,V) ) ).
% 0.60/0.67
% 0.60/0.67 cnf(d3,axiom,
% 0.60/0.67 ( ~ equidistant(U,V,W,X)
% 0.60/0.67 | equidistant(V,U,W,X) ) ).
% 0.60/0.67
% 0.60/0.67 cnf(d4_1,axiom,
% 0.60/0.67 ( ~ equidistant(U,V,W,X)
% 0.60/0.67 | equidistant(U,V,X,W) ) ).
% 0.60/0.67
% 0.60/0.67 cnf(d4_2,axiom,
% 0.60/0.67 ( ~ equidistant(U,V,W,X)
% 0.60/0.67 | equidistant(V,U,X,W) ) ).
% 0.60/0.67
% 0.60/0.67 cnf(d4_3,axiom,
% 0.60/0.67 ( ~ equidistant(U,V,W,X)
% 0.60/0.67 | equidistant(W,X,V,U) ) ).
% 0.60/0.67
% 0.60/0.67 cnf(d4_4,axiom,
% 0.60/0.67 ( ~ equidistant(U,V,W,X)
% 0.60/0.67 | equidistant(X,W,U,V) ) ).
% 0.60/0.67
% 0.60/0.67 cnf(d4_5,axiom,
% 0.60/0.67 ( ~ equidistant(U,V,W,X)
% 0.60/0.67 | equidistant(X,W,V,U) ) ).
% 0.60/0.67
% 0.60/0.67 cnf(d5,axiom,
% 0.60/0.67 ( ~ equidistant(U,V,W,X)
% 0.60/0.67 | ~ equidistant(W,X,Y,Z)
% 0.60/0.67 | equidistant(U,V,Y,Z) ) ).
% 0.60/0.67
% 0.60/0.67 cnf(e1,axiom,
% 0.60/0.67 V = extension(U,V,W,W) ).
% 0.60/0.67
% 0.60/0.67 cnf(b0,axiom,
% 0.60/0.67 ( Y != extension(U,V,W,X)
% 0.60/0.67 | between(U,V,Y) ) ).
% 0.60/0.67
% 0.60/0.67 cnf(prove_equidistance,negated_conjecture,
% 0.60/0.67 ~ equidistant(v,reflection(u,v),u,v) ).
% 0.60/0.67
% 0.60/0.67 %--------------------------------------------------------------------------
% 0.60/0.67 %-------------------------------------------
% 0.60/0.67 % Proof found
% 0.60/0.67 % SZS status Theorem for theBenchmark
% 0.60/0.67 % SZS output start Proof
% 0.60/0.67 %ClaNum:65(EqnAxiom:35)
% 0.60/0.67 %VarNum:296(SingletonVarNum:115)
% 0.60/0.67 %MaxLitNum:8
% 0.60/0.67 %MaxfuncDepth:1
% 0.60/0.67 %SharedTerms:10
% 0.60/0.67 %goalClause: 44
% 0.60/0.67 %singleGoalClaCount:1
% 0.60/0.67 [41]~P2(a5,a7,a8)
% 0.60/0.67 [42]~P2(a7,a8,a5)
% 0.60/0.67 [43]~P2(a8,a5,a7)
% 0.60/0.67 [44]~P1(a9,f1(a10,a9,a10,a9),a10,a9)
% 0.60/0.67 [36]P1(x361,x362,x362,x361)
% 0.60/0.67 [37]P1(x371,x372,x371,x372)
% 0.60/0.67 [38]E(f1(x381,x382,x383,x383),x382)
% 0.60/0.67 [39]P2(x391,x392,f1(x391,x392,x393,x394))
% 0.60/0.67 [40]P1(x401,f1(x402,x401,x403,x404),x403,x404)
% 0.60/0.67 [45]~P2(x451,x452,x451)+E(x451,x452)
% 0.60/0.67 [46]~P1(x461,x462,x463,x463)+E(x461,x462)
% 0.60/0.67 [48]~P1(x484,x483,x482,x481)+P1(x481,x482,x483,x484)
% 0.60/0.67 [49]~P1(x493,x494,x492,x491)+P1(x491,x492,x493,x494)
% 0.60/0.67 [50]~P1(x504,x503,x501,x502)+P1(x501,x502,x503,x504)
% 0.60/0.67 [51]~P1(x513,x514,x511,x512)+P1(x511,x512,x513,x514)
% 0.60/0.67 [52]~P1(x522,x521,x524,x523)+P1(x521,x522,x523,x524)
% 0.60/0.67 [53]~P1(x532,x531,x533,x534)+P1(x531,x532,x533,x534)
% 0.60/0.67 [54]~P1(x541,x542,x544,x543)+P1(x541,x542,x543,x544)
% 0.60/0.67 [47]P2(x471,x472,x473)+~E(x473,f1(x471,x472,x474,x475))
% 0.60/0.67 [59]~P2(x595,x591,x594)+~P2(x592,x593,x594)+P2(x591,f6(x592,x593,x594,x591,x595),x592)
% 0.60/0.67 [60]~P2(x605,x604,x603)+~P2(x602,x601,x603)+P2(x601,f6(x602,x601,x603,x604,x605),x605)
% 0.60/0.67 [55]~P1(x555,x556,x551,x552)+P1(x551,x552,x553,x554)+~P1(x555,x556,x553,x554)
% 0.60/0.67 [56]~P1(x561,x562,x565,x566)+P1(x561,x562,x563,x564)+~P1(x565,x566,x563,x564)
% 0.60/0.67 [61]~P2(x614,x612,x613)+~P2(x611,x612,x615)+E(x611,x612)+P2(x611,x613,f2(x611,x614,x612,x613,x615))
% 0.60/0.67 [62]~P2(x623,x622,x624)+~P2(x621,x622,x625)+E(x621,x622)+P2(x621,x623,f3(x621,x623,x622,x624,x625))
% 0.60/0.67 [63]~P2(x633,x632,x634)+~P2(x631,x632,x635)+E(x631,x632)+P2(f3(x631,x633,x632,x634,x635),x635,f2(x631,x633,x632,x634,x635))
% 0.60/0.67 [64]~P2(x643,x644,x645)+~P2(x642,x643,x645)+~P1(x642,x645,x642,x646)+~P1(x642,x643,x642,x641)+P2(x641,f4(x642,x643,x641,x644,x645,x646),x646)
% 0.60/0.67 [65]~P2(x653,x652,x655)+~P2(x651,x653,x655)+~P1(x651,x655,x651,x656)+~P1(x651,x653,x651,x654)+P1(x651,x652,x651,f4(x651,x653,x654,x652,x655,x656))
% 0.60/0.67 [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)
% 0.60/0.67 [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)
% 0.60/0.67 %EqnAxiom
% 0.60/0.67 [1]E(x11,x11)
% 0.60/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.60/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.60/0.67 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.60/0.67 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.60/0.67 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.60/0.67 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.60/0.67 [8]~E(x81,x82)+E(f4(x81,x83,x84,x85,x86,x87),f4(x82,x83,x84,x85,x86,x87))
% 0.60/0.67 [9]~E(x91,x92)+E(f4(x93,x91,x94,x95,x96,x97),f4(x93,x92,x94,x95,x96,x97))
% 0.60/0.67 [10]~E(x101,x102)+E(f4(x103,x104,x101,x105,x106,x107),f4(x103,x104,x102,x105,x106,x107))
% 0.60/0.67 [11]~E(x111,x112)+E(f4(x113,x114,x115,x111,x116,x117),f4(x113,x114,x115,x112,x116,x117))
% 0.60/0.67 [12]~E(x121,x122)+E(f4(x123,x124,x125,x126,x121,x127),f4(x123,x124,x125,x126,x122,x127))
% 0.60/0.67 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x137,x131),f4(x133,x134,x135,x136,x137,x132))
% 0.60/0.67 [14]~E(x141,x142)+E(f3(x141,x143,x144,x145,x146),f3(x142,x143,x144,x145,x146))
% 0.60/0.67 [15]~E(x151,x152)+E(f3(x153,x151,x154,x155,x156),f3(x153,x152,x154,x155,x156))
% 0.60/0.67 [16]~E(x161,x162)+E(f3(x163,x164,x161,x165,x166),f3(x163,x164,x162,x165,x166))
% 0.60/0.67 [17]~E(x171,x172)+E(f3(x173,x174,x175,x171,x176),f3(x173,x174,x175,x172,x176))
% 0.60/0.67 [18]~E(x181,x182)+E(f3(x183,x184,x185,x186,x181),f3(x183,x184,x185,x186,x182))
% 0.60/0.67 [19]~E(x191,x192)+E(f2(x191,x193,x194,x195,x196),f2(x192,x193,x194,x195,x196))
% 0.60/0.67 [20]~E(x201,x202)+E(f2(x203,x201,x204,x205,x206),f2(x203,x202,x204,x205,x206))
% 0.60/0.67 [21]~E(x211,x212)+E(f2(x213,x214,x211,x215,x216),f2(x213,x214,x212,x215,x216))
% 0.60/0.67 [22]~E(x221,x222)+E(f2(x223,x224,x225,x221,x226),f2(x223,x224,x225,x222,x226))
% 0.60/0.67 [23]~E(x231,x232)+E(f2(x233,x234,x235,x236,x231),f2(x233,x234,x235,x236,x232))
% 0.60/0.67 [24]~E(x241,x242)+E(f6(x241,x243,x244,x245,x246),f6(x242,x243,x244,x245,x246))
% 0.60/0.67 [25]~E(x251,x252)+E(f6(x253,x251,x254,x255,x256),f6(x253,x252,x254,x255,x256))
% 0.60/0.67 [26]~E(x261,x262)+E(f6(x263,x264,x261,x265,x266),f6(x263,x264,x262,x265,x266))
% 0.60/0.67 [27]~E(x271,x272)+E(f6(x273,x274,x275,x271,x276),f6(x273,x274,x275,x272,x276))
% 0.60/0.67 [28]~E(x281,x282)+E(f6(x283,x284,x285,x286,x281),f6(x283,x284,x285,x286,x282))
% 0.60/0.67 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.60/0.67 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.60/0.67 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.60/0.67 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.60/0.67 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.60/0.67 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.60/0.67 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.60/0.67
% 0.60/0.67 %-------------------------------------------
% 0.60/0.67 cnf(66,plain,
% 0.60/0.67 ($false),
% 0.60/0.67 inference(scs_inference,[],[44,40]),
% 0.60/0.67 ['proof']).
% 0.60/0.67 % SZS output end Proof
% 0.60/0.67 % Total time :0.000000s
%------------------------------------------------------------------------------