TSTP Solution File: GEO024-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO024-3 : 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 : n027.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 22:42:29 EDT 2023
% Result : Unsatisfiable 0.56s 0.69s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO024-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n027.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 : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 23:40:08 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.56/0.68 %-------------------------------------------
% 0.56/0.68 % File :CSE---1.6
% 0.56/0.68 % Problem :theBenchmark
% 0.56/0.68 % Transform :cnf
% 0.56/0.68 % Format :tptp:raw
% 0.56/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.68
% 0.56/0.68 % Result :Theorem 0.040000s
% 0.56/0.68 % Output :CNFRefutation 0.040000s
% 0.56/0.68 %-------------------------------------------
% 0.56/0.69 %--------------------------------------------------------------------------
% 0.56/0.69 % File : GEO024-3 : TPTP v8.1.2. Released v1.0.0.
% 0.56/0.69 % Domain : Geometry
% 0.56/0.69 % Problem : All null segments are congruent
% 0.56/0.69 % Version : [Qua89] axioms : Augmented.
% 0.56/0.69 % English :
% 0.56/0.69
% 0.56/0.69 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.56/0.69 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.56/0.69 % Source : [Qua89]
% 0.56/0.69 % Names : D7 [Qua89]
% 0.56/0.69
% 0.56/0.69 % Status : Unsatisfiable
% 0.56/0.69 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.09 v6.2.0, 0.00 v5.5.0, 0.05 v5.3.0, 0.11 v5.2.0, 0.06 v5.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.00 v2.5.0, 0.08 v2.4.0, 0.00 v2.0.0
% 0.56/0.69 % Syntax : Number of clauses : 36 ( 13 unt; 5 nHn; 27 RR)
% 0.56/0.69 % Number of literals : 86 ( 15 equ; 47 neg)
% 0.56/0.69 % Maximal clause size : 8 ( 2 avg)
% 0.56/0.69 % Maximal term depth : 2 ( 1 avg)
% 0.56/0.69 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.56/0.69 % Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% 0.56/0.69 % Number of variables : 126 ( 6 sgn)
% 0.56/0.69 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.56/0.69
% 0.56/0.69 % Comments : In [Qua89] the previous problem (D6) is omitted.
% 0.56/0.69 %--------------------------------------------------------------------------
% 0.56/0.69 %----Include Tarski geometry axioms
% 0.56/0.69 include('Axioms/GEO002-0.ax').
% 0.56/0.69 %----Include definition of reflection
% 0.56/0.69 include('Axioms/GEO002-2.ax').
% 0.56/0.69 %--------------------------------------------------------------------------
% 0.56/0.69 cnf(d1,axiom,
% 0.56/0.69 equidistant(U,V,U,V) ).
% 0.56/0.69
% 0.56/0.69 cnf(d2,axiom,
% 0.56/0.69 ( ~ equidistant(U,V,W,X)
% 0.56/0.69 | equidistant(W,X,U,V) ) ).
% 0.56/0.69
% 0.56/0.69 cnf(d3,axiom,
% 0.56/0.69 ( ~ equidistant(U,V,W,X)
% 0.56/0.69 | equidistant(V,U,W,X) ) ).
% 0.56/0.69
% 0.56/0.69 cnf(d4_1,axiom,
% 0.56/0.69 ( ~ equidistant(U,V,W,X)
% 0.56/0.69 | equidistant(U,V,X,W) ) ).
% 0.56/0.69
% 0.56/0.69 cnf(d4_2,axiom,
% 0.56/0.69 ( ~ equidistant(U,V,W,X)
% 0.56/0.69 | equidistant(V,U,X,W) ) ).
% 0.56/0.69
% 0.56/0.69 cnf(d4_3,axiom,
% 0.56/0.69 ( ~ equidistant(U,V,W,X)
% 0.56/0.69 | equidistant(W,X,V,U) ) ).
% 0.56/0.69
% 0.56/0.69 cnf(d4_4,axiom,
% 0.56/0.69 ( ~ equidistant(U,V,W,X)
% 0.56/0.69 | equidistant(X,W,U,V) ) ).
% 0.56/0.69
% 0.56/0.69 cnf(d4_5,axiom,
% 0.56/0.69 ( ~ equidistant(U,V,W,X)
% 0.56/0.69 | equidistant(X,W,V,U) ) ).
% 0.56/0.69
% 0.56/0.69 cnf(d5,axiom,
% 0.56/0.69 ( ~ equidistant(U,V,W,X)
% 0.56/0.69 | ~ equidistant(W,X,Y,Z)
% 0.56/0.69 | equidistant(U,V,Y,Z) ) ).
% 0.56/0.69
% 0.56/0.69 cnf(e1,axiom,
% 0.56/0.69 V = extension(U,V,W,W) ).
% 0.56/0.69
% 0.56/0.69 cnf(b0,axiom,
% 0.56/0.69 ( Y != extension(U,V,W,X)
% 0.56/0.69 | between(U,V,Y) ) ).
% 0.56/0.69
% 0.56/0.69 cnf(r2_1,axiom,
% 0.56/0.69 between(U,V,reflection(U,V)) ).
% 0.56/0.69
% 0.56/0.69 cnf(r2_2,axiom,
% 0.56/0.69 equidistant(V,reflection(U,V),U,V) ).
% 0.56/0.69
% 0.56/0.69 cnf(r3_1,axiom,
% 0.56/0.69 ( U != V
% 0.56/0.69 | V = reflection(U,V) ) ).
% 0.56/0.69
% 0.56/0.69 cnf(r3_2,axiom,
% 0.56/0.69 U = reflection(U,U) ).
% 0.56/0.69
% 0.56/0.69 cnf(r4,axiom,
% 0.56/0.69 ( V != reflection(U,V)
% 0.56/0.69 | U = V ) ).
% 0.56/0.69
% 0.56/0.69 cnf(prove_congruence,negated_conjecture,
% 0.56/0.69 ~ equidistant(u,u,v,v) ).
% 0.56/0.69
% 0.56/0.69 %--------------------------------------------------------------------------
% 0.56/0.69 %-------------------------------------------
% 0.56/0.69 % Proof found
% 0.56/0.69 % SZS status Theorem for theBenchmark
% 0.56/0.69 % SZS output start Proof
% 0.56/0.69 %ClaNum:70(EqnAxiom:35)
% 0.56/0.69 %VarNum:310(SingletonVarNum:119)
% 0.56/0.69 %MaxLitNum:8
% 0.56/0.69 %MaxfuncDepth:1
% 0.56/0.69 %SharedTerms:9
% 0.56/0.69 %goalClause: 47
% 0.56/0.69 %singleGoalClaCount:1
% 0.56/0.69 [44]~P2(a5,a7,a8)
% 0.56/0.69 [45]~P2(a7,a8,a5)
% 0.56/0.69 [46]~P2(a8,a5,a7)
% 0.56/0.69 [47]~P1(a9,a9,a10,a10)
% 0.56/0.69 [36]P1(x361,x362,x362,x361)
% 0.56/0.69 [37]P1(x371,x372,x371,x372)
% 0.56/0.69 [38]E(f1(x381,x382,x383,x383),x382)
% 0.56/0.69 [40]P2(x401,x402,f1(x401,x402,x403,x404))
% 0.56/0.69 [42]P1(x421,f1(x422,x421,x423,x424),x423,x424)
% 0.56/0.69 [48]~P2(x481,x482,x481)+E(x481,x482)
% 0.56/0.69 [49]~E(x491,x492)+E(f1(x491,x492,x491,x492),x492)
% 0.56/0.69 [51]E(x511,x512)+~E(f1(x512,x511,x512,x511),x511)
% 0.56/0.69 [50]~P1(x501,x502,x503,x503)+E(x501,x502)
% 0.56/0.69 [53]~P1(x534,x533,x532,x531)+P1(x531,x532,x533,x534)
% 0.56/0.69 [54]~P1(x543,x544,x542,x541)+P1(x541,x542,x543,x544)
% 0.56/0.69 [55]~P1(x554,x553,x551,x552)+P1(x551,x552,x553,x554)
% 0.56/0.69 [56]~P1(x563,x564,x561,x562)+P1(x561,x562,x563,x564)
% 0.56/0.69 [57]~P1(x572,x571,x574,x573)+P1(x571,x572,x573,x574)
% 0.56/0.69 [58]~P1(x582,x581,x583,x584)+P1(x581,x582,x583,x584)
% 0.56/0.69 [59]~P1(x591,x592,x594,x593)+P1(x591,x592,x593,x594)
% 0.56/0.69 [52]P2(x521,x522,x523)+~E(x523,f1(x521,x522,x524,x525))
% 0.56/0.69 [64]~P2(x645,x641,x644)+~P2(x642,x643,x644)+P2(x641,f6(x642,x643,x644,x641,x645),x642)
% 0.56/0.69 [65]~P2(x655,x654,x653)+~P2(x652,x651,x653)+P2(x651,f6(x652,x651,x653,x654,x655),x655)
% 0.56/0.69 [60]~P1(x605,x606,x601,x602)+P1(x601,x602,x603,x604)+~P1(x605,x606,x603,x604)
% 0.56/0.69 [61]~P1(x611,x612,x615,x616)+P1(x611,x612,x613,x614)+~P1(x615,x616,x613,x614)
% 0.56/0.69 [66]~P2(x664,x662,x663)+~P2(x661,x662,x665)+E(x661,x662)+P2(x661,x663,f2(x661,x664,x662,x663,x665))
% 0.56/0.69 [67]~P2(x673,x672,x674)+~P2(x671,x672,x675)+E(x671,x672)+P2(x671,x673,f3(x671,x673,x672,x674,x675))
% 0.56/0.69 [68]~P2(x683,x682,x684)+~P2(x681,x682,x685)+E(x681,x682)+P2(f3(x681,x683,x682,x684,x685),x685,f2(x681,x683,x682,x684,x685))
% 0.56/0.69 [69]~P2(x693,x694,x695)+~P2(x692,x693,x695)+~P1(x692,x695,x692,x696)+~P1(x692,x693,x692,x691)+P2(x691,f4(x692,x693,x691,x694,x695,x696),x696)
% 0.56/0.69 [70]~P2(x703,x702,x705)+~P2(x701,x703,x705)+~P1(x701,x705,x701,x706)+~P1(x701,x703,x701,x704)+P1(x701,x702,x701,f4(x701,x703,x704,x702,x705,x706))
% 0.56/0.69 [62]P2(x625,x623,x624)+P2(x624,x625,x623)+~P1(x623,x621,x623,x622)+~P1(x625,x621,x625,x622)+~P1(x624,x621,x624,x622)+E(x621,x622)+P2(x623,x624,x625)
% 0.56/0.69 [63]~P2(x631,x632,x633)+~P1(x632,x634,x638,x636)+~P1(x632,x633,x638,x635)+~P1(x631,x634,x637,x636)+~P1(x631,x632,x637,x638)+E(x631,x632)+P1(x633,x634,x635,x636)+~P2(x637,x638,x635)
% 0.56/0.69 %EqnAxiom
% 0.56/0.69 [1]E(x11,x11)
% 0.56/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.69 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.56/0.69 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.56/0.69 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.56/0.69 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.56/0.69 [8]~E(x81,x82)+E(f4(x81,x83,x84,x85,x86,x87),f4(x82,x83,x84,x85,x86,x87))
% 0.56/0.69 [9]~E(x91,x92)+E(f4(x93,x91,x94,x95,x96,x97),f4(x93,x92,x94,x95,x96,x97))
% 0.56/0.69 [10]~E(x101,x102)+E(f4(x103,x104,x101,x105,x106,x107),f4(x103,x104,x102,x105,x106,x107))
% 0.56/0.69 [11]~E(x111,x112)+E(f4(x113,x114,x115,x111,x116,x117),f4(x113,x114,x115,x112,x116,x117))
% 0.56/0.69 [12]~E(x121,x122)+E(f4(x123,x124,x125,x126,x121,x127),f4(x123,x124,x125,x126,x122,x127))
% 0.56/0.69 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x137,x131),f4(x133,x134,x135,x136,x137,x132))
% 0.56/0.69 [14]~E(x141,x142)+E(f6(x141,x143,x144,x145,x146),f6(x142,x143,x144,x145,x146))
% 0.56/0.69 [15]~E(x151,x152)+E(f6(x153,x151,x154,x155,x156),f6(x153,x152,x154,x155,x156))
% 0.56/0.69 [16]~E(x161,x162)+E(f6(x163,x164,x161,x165,x166),f6(x163,x164,x162,x165,x166))
% 0.56/0.69 [17]~E(x171,x172)+E(f6(x173,x174,x175,x171,x176),f6(x173,x174,x175,x172,x176))
% 0.56/0.69 [18]~E(x181,x182)+E(f6(x183,x184,x185,x186,x181),f6(x183,x184,x185,x186,x182))
% 0.56/0.69 [19]~E(x191,x192)+E(f2(x191,x193,x194,x195,x196),f2(x192,x193,x194,x195,x196))
% 0.56/0.69 [20]~E(x201,x202)+E(f2(x203,x201,x204,x205,x206),f2(x203,x202,x204,x205,x206))
% 0.56/0.69 [21]~E(x211,x212)+E(f2(x213,x214,x211,x215,x216),f2(x213,x214,x212,x215,x216))
% 0.56/0.69 [22]~E(x221,x222)+E(f2(x223,x224,x225,x221,x226),f2(x223,x224,x225,x222,x226))
% 0.56/0.69 [23]~E(x231,x232)+E(f2(x233,x234,x235,x236,x231),f2(x233,x234,x235,x236,x232))
% 0.56/0.69 [24]~E(x241,x242)+E(f3(x241,x243,x244,x245,x246),f3(x242,x243,x244,x245,x246))
% 0.56/0.69 [25]~E(x251,x252)+E(f3(x253,x251,x254,x255,x256),f3(x253,x252,x254,x255,x256))
% 0.56/0.69 [26]~E(x261,x262)+E(f3(x263,x264,x261,x265,x266),f3(x263,x264,x262,x265,x266))
% 0.56/0.69 [27]~E(x271,x272)+E(f3(x273,x274,x275,x271,x276),f3(x273,x274,x275,x272,x276))
% 0.56/0.69 [28]~E(x281,x282)+E(f3(x283,x284,x285,x286,x281),f3(x283,x284,x285,x286,x282))
% 0.56/0.69 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.56/0.69 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.56/0.69 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.56/0.69 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.56/0.69 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.56/0.69 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.56/0.69 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.56/0.69
% 0.56/0.69 %-------------------------------------------
% 0.56/0.70 cnf(75,plain,
% 0.56/0.70 (E(f1(x751,x752,x753,x753),x752)),
% 0.56/0.70 inference(rename_variables,[],[38])).
% 0.56/0.70 cnf(78,plain,
% 0.56/0.70 (P2(x781,x782,f1(x781,x782,x783,x784))),
% 0.56/0.70 inference(rename_variables,[],[40])).
% 0.56/0.70 cnf(80,plain,
% 0.56/0.70 (P2(x801,x802,f1(x801,x802,x803,x804))),
% 0.56/0.70 inference(rename_variables,[],[40])).
% 0.56/0.70 cnf(82,plain,
% 0.56/0.70 (P2(x821,x822,f1(x821,x822,x823,x824))),
% 0.56/0.70 inference(rename_variables,[],[40])).
% 0.56/0.70 cnf(83,plain,
% 0.56/0.70 (P1(f1(x831,x832,x833,x833),x834,x834,x832)),
% 0.56/0.70 inference(scs_inference,[],[47,36,44,40,78,80,38,75,2,56,52,35,34,33,32])).
% 0.56/0.70 cnf(84,plain,
% 0.56/0.70 (P1(x841,x842,x842,x841)),
% 0.56/0.70 inference(rename_variables,[],[36])).
% 0.56/0.70 cnf(85,plain,
% 0.56/0.70 (P1(x851,f1(x852,x853,x854,x854),x853,x851)),
% 0.56/0.70 inference(scs_inference,[],[47,36,84,44,40,78,80,38,75,2,56,52,35,34,33,32,31])).
% 0.56/0.70 cnf(86,plain,
% 0.56/0.70 (P1(x861,x862,x862,x861)),
% 0.56/0.70 inference(rename_variables,[],[36])).
% 0.56/0.70 cnf(88,plain,
% 0.56/0.70 (P1(x881,x882,x882,x881)),
% 0.56/0.70 inference(rename_variables,[],[36])).
% 0.56/0.70 cnf(90,plain,
% 0.56/0.70 (P1(x901,x902,x902,x901)),
% 0.56/0.70 inference(rename_variables,[],[36])).
% 0.56/0.70 cnf(92,plain,
% 0.56/0.70 (E(f1(x921,x922,x923,x923),x922)),
% 0.56/0.70 inference(rename_variables,[],[38])).
% 0.56/0.70 cnf(94,plain,
% 0.56/0.70 (P1(x941,f1(x942,x941,x943,x944),x943,x944)),
% 0.56/0.70 inference(rename_variables,[],[42])).
% 0.56/0.70 cnf(95,plain,
% 0.56/0.70 (P1(x951,x952,x952,x951)),
% 0.56/0.70 inference(rename_variables,[],[36])).
% 0.56/0.70 cnf(98,plain,
% 0.56/0.70 (P1(x981,x982,x982,x981)),
% 0.56/0.70 inference(rename_variables,[],[36])).
% 0.56/0.70 cnf(141,plain,
% 0.56/0.70 (P2(x1411,f6(x1412,x1411,f1(x1412,x1411,x1413,x1414),x1411,x1412),x1412)),
% 0.56/0.70 inference(scs_inference,[],[47,36,84,86,88,90,95,44,42,94,40,78,80,82,38,75,92,2,56,52,35,34,33,32,31,30,29,3,61,60,59,58,57,55,54,53,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,51,49,65])).
% 0.56/0.70 cnf(148,plain,
% 0.56/0.70 (~P1(f1(a5,a7,x1481,x1482),a8,x1483,x1483)),
% 0.56/0.70 inference(scs_inference,[],[47,36,84,86,88,90,95,98,37,44,42,94,40,78,80,82,38,75,92,2,56,52,35,34,33,32,31,30,29,3,61,60,59,58,57,55,54,53,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,51,49,65,70,50])).
% 0.56/0.70 cnf(173,plain,
% 0.56/0.70 (~P1(f1(a5,a7,x1731,x1732),a8,x1733,x1733)),
% 0.56/0.70 inference(rename_variables,[],[148])).
% 0.56/0.70 cnf(177,plain,
% 0.56/0.70 ($false),
% 0.56/0.70 inference(scs_inference,[],[47,42,141,83,85,148,173,56,48,61,57,60]),
% 0.56/0.70 ['proof']).
% 0.56/0.70 % SZS output end Proof
% 0.56/0.70 % Total time :0.040000s
%------------------------------------------------------------------------------