TSTP Solution File: GEO056-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO056-3 : 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 : n019.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 0.20s 0.67s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO056-3 : 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
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 22:32:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % File :CSE---1.6
% 0.20/0.67 % Problem :theBenchmark
% 0.20/0.67 % Transform :cnf
% 0.20/0.67 % Format :tptp:raw
% 0.20/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.67
% 0.20/0.67 % Result :Theorem 0.040000s
% 0.20/0.67 % Output :CNFRefutation 0.040000s
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 % File : GEO056-3 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.67 % Domain : Geometry
% 0.20/0.67 % Problem : Corollary 1 to null extension
% 0.20/0.67 % Version : [Qua89] axioms : Augmented.
% 0.20/0.67 % English :
% 0.20/0.67
% 0.20/0.67 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.20/0.67 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.20/0.67 % Source : [Qua89]
% 0.20/0.67 % Names : R3.1 [Qua89]
% 0.20/0.67
% 0.20/0.67 % Status : Unsatisfiable
% 0.20/0.67 % Rating : 0.05 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.05 v5.3.0, 0.06 v5.0.0, 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 v2.1.0, 0.00 v2.0.0
% 0.20/0.67 % Syntax : Number of clauses : 34 ( 13 unt; 5 nHn; 26 RR)
% 0.20/0.67 % Number of literals : 82 ( 12 equ; 45 neg)
% 0.20/0.67 % Maximal clause size : 8 ( 2 avg)
% 0.20/0.67 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.67 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.20/0.67 % Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% 0.20/0.67 % Number of variables : 121 ( 6 sgn)
% 0.20/0.67 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.20/0.67
% 0.20/0.67 % Comments :
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 %----Include Tarski geometry axioms
% 0.20/0.67 include('Axioms/GEO002-0.ax').
% 0.20/0.67 %----Include definition of reflection
% 0.20/0.67 include('Axioms/GEO002-2.ax').
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 cnf(d1,axiom,
% 0.20/0.67 equidistant(U,V,U,V) ).
% 0.20/0.67
% 0.20/0.67 cnf(d2,axiom,
% 0.20/0.67 ( ~ equidistant(U,V,W,X)
% 0.20/0.67 | equidistant(W,X,U,V) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(d3,axiom,
% 0.20/0.67 ( ~ equidistant(U,V,W,X)
% 0.20/0.67 | equidistant(V,U,W,X) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(d4_1,axiom,
% 0.20/0.67 ( ~ equidistant(U,V,W,X)
% 0.20/0.67 | equidistant(U,V,X,W) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(d4_2,axiom,
% 0.20/0.67 ( ~ equidistant(U,V,W,X)
% 0.20/0.67 | equidistant(V,U,X,W) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(d4_3,axiom,
% 0.20/0.67 ( ~ equidistant(U,V,W,X)
% 0.20/0.67 | equidistant(W,X,V,U) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(d4_4,axiom,
% 0.20/0.67 ( ~ equidistant(U,V,W,X)
% 0.20/0.67 | equidistant(X,W,U,V) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(d4_5,axiom,
% 0.20/0.67 ( ~ equidistant(U,V,W,X)
% 0.20/0.67 | equidistant(X,W,V,U) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(d5,axiom,
% 0.20/0.67 ( ~ equidistant(U,V,W,X)
% 0.20/0.67 | ~ equidistant(W,X,Y,Z)
% 0.20/0.67 | equidistant(U,V,Y,Z) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(e1,axiom,
% 0.20/0.67 V = extension(U,V,W,W) ).
% 0.20/0.67
% 0.20/0.67 cnf(b0,axiom,
% 0.20/0.67 ( Y != extension(U,V,W,X)
% 0.20/0.67 | between(U,V,Y) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(r2_1,axiom,
% 0.20/0.67 between(U,V,reflection(U,V)) ).
% 0.20/0.67
% 0.20/0.67 cnf(r2_2,axiom,
% 0.20/0.67 equidistant(V,reflection(U,V),U,V) ).
% 0.20/0.67
% 0.20/0.67 cnf(u_equals_v,hypothesis,
% 0.20/0.67 u = v ).
% 0.20/0.67
% 0.20/0.67 cnf(prove_v_equals_reflection,negated_conjecture,
% 0.20/0.67 v != reflection(u,v) ).
% 0.20/0.67
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % Proof found
% 0.20/0.67 % SZS status Theorem for theBenchmark
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 %ClaNum:68(EqnAxiom:35)
% 0.20/0.67 %VarNum:296(SingletonVarNum:115)
% 0.20/0.67 %MaxLitNum:8
% 0.20/0.67 %MaxfuncDepth:1
% 0.20/0.67 %SharedTerms:11
% 0.20/0.67 %goalClause: 47
% 0.20/0.67 %singleGoalClaCount:1
% 0.20/0.67 [36]E(a1,a2)
% 0.20/0.67 [44]~P2(a7,a9,a10)
% 0.20/0.67 [45]~P2(a9,a10,a7)
% 0.20/0.67 [46]~P2(a10,a7,a9)
% 0.20/0.67 [47]~E(f3(a2,a1,a2,a1),a1)
% 0.20/0.67 [37]P1(x371,x372,x372,x371)
% 0.20/0.67 [38]P1(x381,x382,x381,x382)
% 0.20/0.67 [39]E(f3(x391,x392,x393,x393),x392)
% 0.20/0.67 [40]P2(x401,x402,f3(x401,x402,x403,x404))
% 0.20/0.67 [42]P1(x421,f3(x422,x421,x423,x424),x423,x424)
% 0.20/0.67 [48]~P2(x481,x482,x481)+E(x481,x482)
% 0.20/0.67 [49]~P1(x491,x492,x493,x493)+E(x491,x492)
% 0.20/0.67 [51]~P1(x514,x513,x512,x511)+P1(x511,x512,x513,x514)
% 0.20/0.67 [52]~P1(x523,x524,x522,x521)+P1(x521,x522,x523,x524)
% 0.20/0.67 [53]~P1(x534,x533,x531,x532)+P1(x531,x532,x533,x534)
% 0.20/0.67 [54]~P1(x543,x544,x541,x542)+P1(x541,x542,x543,x544)
% 0.20/0.67 [55]~P1(x552,x551,x554,x553)+P1(x551,x552,x553,x554)
% 0.20/0.67 [56]~P1(x562,x561,x563,x564)+P1(x561,x562,x563,x564)
% 0.20/0.67 [57]~P1(x571,x572,x574,x573)+P1(x571,x572,x573,x574)
% 0.20/0.67 [50]P2(x501,x502,x503)+~E(x503,f3(x501,x502,x504,x505))
% 0.20/0.67 [62]~P2(x625,x621,x624)+~P2(x622,x623,x624)+P2(x621,f8(x622,x623,x624,x621,x625),x622)
% 0.20/0.67 [63]~P2(x635,x634,x633)+~P2(x632,x631,x633)+P2(x631,f8(x632,x631,x633,x634,x635),x635)
% 0.20/0.67 [58]~P1(x585,x586,x581,x582)+P1(x581,x582,x583,x584)+~P1(x585,x586,x583,x584)
% 0.20/0.67 [59]~P1(x591,x592,x595,x596)+P1(x591,x592,x593,x594)+~P1(x595,x596,x593,x594)
% 0.20/0.67 [64]~P2(x644,x642,x643)+~P2(x641,x642,x645)+E(x641,x642)+P2(x641,x643,f4(x641,x644,x642,x643,x645))
% 0.20/0.67 [65]~P2(x653,x652,x654)+~P2(x651,x652,x655)+E(x651,x652)+P2(x651,x653,f5(x651,x653,x652,x654,x655))
% 0.20/0.67 [66]~P2(x663,x662,x664)+~P2(x661,x662,x665)+E(x661,x662)+P2(f5(x661,x663,x662,x664,x665),x665,f4(x661,x663,x662,x664,x665))
% 0.20/0.67 [67]~P2(x673,x674,x675)+~P2(x672,x673,x675)+~P1(x672,x675,x672,x676)+~P1(x672,x673,x672,x671)+P2(x671,f6(x672,x673,x671,x674,x675,x676),x676)
% 0.20/0.67 [68]~P2(x683,x682,x685)+~P2(x681,x683,x685)+~P1(x681,x685,x681,x686)+~P1(x681,x683,x681,x684)+P1(x681,x682,x681,f6(x681,x683,x684,x682,x685,x686))
% 0.20/0.67 [60]P2(x605,x603,x604)+P2(x604,x605,x603)+~P1(x603,x601,x603,x602)+~P1(x605,x601,x605,x602)+~P1(x604,x601,x604,x602)+E(x601,x602)+P2(x603,x604,x605)
% 0.20/0.67 [61]~P2(x611,x612,x613)+~P1(x612,x614,x618,x616)+~P1(x612,x613,x618,x615)+~P1(x611,x614,x617,x616)+~P1(x611,x612,x617,x618)+E(x611,x612)+P1(x613,x614,x615,x616)+~P2(x617,x618,x615)
% 0.20/0.67 %EqnAxiom
% 0.20/0.67 [1]E(x11,x11)
% 0.20/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.67 [4]~E(x41,x42)+E(f3(x41,x43,x44,x45),f3(x42,x43,x44,x45))
% 0.20/0.67 [5]~E(x51,x52)+E(f3(x53,x51,x54,x55),f3(x53,x52,x54,x55))
% 0.20/0.67 [6]~E(x61,x62)+E(f3(x63,x64,x61,x65),f3(x63,x64,x62,x65))
% 0.20/0.67 [7]~E(x71,x72)+E(f3(x73,x74,x75,x71),f3(x73,x74,x75,x72))
% 0.20/0.67 [8]~E(x81,x82)+E(f6(x81,x83,x84,x85,x86,x87),f6(x82,x83,x84,x85,x86,x87))
% 0.20/0.67 [9]~E(x91,x92)+E(f6(x93,x91,x94,x95,x96,x97),f6(x93,x92,x94,x95,x96,x97))
% 0.20/0.67 [10]~E(x101,x102)+E(f6(x103,x104,x101,x105,x106,x107),f6(x103,x104,x102,x105,x106,x107))
% 0.20/0.67 [11]~E(x111,x112)+E(f6(x113,x114,x115,x111,x116,x117),f6(x113,x114,x115,x112,x116,x117))
% 0.20/0.67 [12]~E(x121,x122)+E(f6(x123,x124,x125,x126,x121,x127),f6(x123,x124,x125,x126,x122,x127))
% 0.20/0.67 [13]~E(x131,x132)+E(f6(x133,x134,x135,x136,x137,x131),f6(x133,x134,x135,x136,x137,x132))
% 0.20/0.67 [14]~E(x141,x142)+E(f8(x141,x143,x144,x145,x146),f8(x142,x143,x144,x145,x146))
% 0.20/0.67 [15]~E(x151,x152)+E(f8(x153,x151,x154,x155,x156),f8(x153,x152,x154,x155,x156))
% 0.20/0.67 [16]~E(x161,x162)+E(f8(x163,x164,x161,x165,x166),f8(x163,x164,x162,x165,x166))
% 0.20/0.67 [17]~E(x171,x172)+E(f8(x173,x174,x175,x171,x176),f8(x173,x174,x175,x172,x176))
% 0.20/0.67 [18]~E(x181,x182)+E(f8(x183,x184,x185,x186,x181),f8(x183,x184,x185,x186,x182))
% 0.20/0.67 [19]~E(x191,x192)+E(f4(x191,x193,x194,x195,x196),f4(x192,x193,x194,x195,x196))
% 0.20/0.67 [20]~E(x201,x202)+E(f4(x203,x201,x204,x205,x206),f4(x203,x202,x204,x205,x206))
% 0.20/0.67 [21]~E(x211,x212)+E(f4(x213,x214,x211,x215,x216),f4(x213,x214,x212,x215,x216))
% 0.20/0.68 [22]~E(x221,x222)+E(f4(x223,x224,x225,x221,x226),f4(x223,x224,x225,x222,x226))
% 0.20/0.68 [23]~E(x231,x232)+E(f4(x233,x234,x235,x236,x231),f4(x233,x234,x235,x236,x232))
% 0.20/0.68 [24]~E(x241,x242)+E(f5(x241,x243,x244,x245,x246),f5(x242,x243,x244,x245,x246))
% 0.20/0.68 [25]~E(x251,x252)+E(f5(x253,x251,x254,x255,x256),f5(x253,x252,x254,x255,x256))
% 0.20/0.68 [26]~E(x261,x262)+E(f5(x263,x264,x261,x265,x266),f5(x263,x264,x262,x265,x266))
% 0.20/0.68 [27]~E(x271,x272)+E(f5(x273,x274,x275,x271,x276),f5(x273,x274,x275,x272,x276))
% 0.20/0.68 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x281),f5(x283,x284,x285,x286,x282))
% 0.20/0.68 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.20/0.68 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.20/0.68 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.20/0.68 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.20/0.68 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.20/0.68 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.20/0.68 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.20/0.68
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 cnf(70,plain,
% 0.20/0.68 (~P1(f3(a2,a1,a2,a1),a1,x701,x701)),
% 0.20/0.68 inference(scs_inference,[],[47,36,2,49])).
% 0.20/0.68 cnf(75,plain,
% 0.20/0.68 (E(f3(x751,x752,x753,x753),x752)),
% 0.20/0.68 inference(rename_variables,[],[39])).
% 0.20/0.68 cnf(78,plain,
% 0.20/0.68 (P2(x781,x782,f3(x781,x782,x783,x784))),
% 0.20/0.68 inference(rename_variables,[],[40])).
% 0.20/0.68 cnf(80,plain,
% 0.20/0.68 (P2(x801,x802,f3(x801,x802,x803,x804))),
% 0.20/0.68 inference(rename_variables,[],[40])).
% 0.20/0.68 cnf(82,plain,
% 0.20/0.68 (P2(x821,x822,f3(x821,x822,x823,x824))),
% 0.20/0.68 inference(rename_variables,[],[40])).
% 0.20/0.68 cnf(84,plain,
% 0.20/0.68 (P1(x841,x842,x841,x842)),
% 0.20/0.68 inference(rename_variables,[],[38])).
% 0.20/0.68 cnf(88,plain,
% 0.20/0.68 (P1(x881,f3(x882,x881,x883,x884),x883,x884)),
% 0.20/0.68 inference(rename_variables,[],[42])).
% 0.20/0.68 cnf(90,plain,
% 0.20/0.68 (P1(x901,x902,x902,x901)),
% 0.20/0.68 inference(rename_variables,[],[37])).
% 0.20/0.68 cnf(94,plain,
% 0.20/0.68 (P1(x941,f3(x942,x941,x943,x944),x943,x944)),
% 0.20/0.68 inference(rename_variables,[],[42])).
% 0.20/0.68 cnf(95,plain,
% 0.20/0.68 (P1(x951,x952,x952,x951)),
% 0.20/0.68 inference(rename_variables,[],[37])).
% 0.20/0.68 cnf(135,plain,
% 0.20/0.68 (E(f3(x1351,x1352,x1353,a1),f3(x1351,x1352,x1353,a2))),
% 0.20/0.68 inference(scs_inference,[],[47,37,90,95,38,84,36,44,42,88,94,40,78,80,39,75,2,49,48,50,35,34,33,32,31,30,29,3,59,58,57,56,55,54,53,52,51,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 0.20/0.68 cnf(139,plain,
% 0.20/0.68 (P2(x1391,f8(x1392,x1391,f3(x1392,x1391,x1393,x1394),x1391,x1392),x1392)),
% 0.20/0.68 inference(scs_inference,[],[47,37,90,95,38,84,36,44,42,88,94,40,78,80,82,39,75,2,49,48,50,35,34,33,32,31,30,29,3,59,58,57,56,55,54,53,52,51,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,63])).
% 0.20/0.68 cnf(167,plain,
% 0.20/0.68 (P1(x1671,x1672,x1672,x1671)),
% 0.20/0.68 inference(rename_variables,[],[37])).
% 0.20/0.68 cnf(188,plain,
% 0.20/0.68 (E(f3(x1881,x1882,x1883,x1883),x1882)),
% 0.20/0.68 inference(rename_variables,[],[39])).
% 0.20/0.68 cnf(189,plain,
% 0.20/0.68 ($false),
% 0.20/0.68 inference(scs_inference,[],[47,37,167,38,45,42,40,39,188,139,135,70,68,54,59,57,58,56,48,50,29,3]),
% 0.20/0.68 ['proof']).
% 0.20/0.68 % SZS output end Proof
% 0.20/0.68 % Total time :0.040000s
%------------------------------------------------------------------------------