TSTP Solution File: GEO022-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n002.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 22:42:28 EDT 2023
% Result : Unsatisfiable 0.12s 0.65s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15 % Problem : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.07/0.36 % Computer : n002.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8042.1875MB
% 0.07/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Tue Aug 29 22:43:20 EDT 2023
% 0.07/0.36 % CPUTime :
% 0.12/0.58 start to proof:theBenchmark
% 0.12/0.65 %-------------------------------------------
% 0.12/0.65 % File :CSE---1.6
% 0.12/0.65 % Problem :theBenchmark
% 0.12/0.65 % Transform :cnf
% 0.12/0.65 % Format :tptp:raw
% 0.12/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.12/0.65
% 0.12/0.65 % Result :Theorem 0.030000s
% 0.12/0.65 % Output :CNFRefutation 0.030000s
% 0.12/0.65 %-------------------------------------------
% 0.12/0.65 %--------------------------------------------------------------------------
% 0.12/0.65 % File : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.65 % Domain : Geometry
% 0.12/0.65 % Problem : Ordinary transitivity of equidistance
% 0.12/0.65 % Version : [Qua89] axioms : Augmented.
% 0.12/0.65 % English : This form of transitivity is different from that expressed
% 0.12/0.65 % in the axioms.
% 0.12/0.65
% 0.12/0.65 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.12/0.65 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.12/0.65 % Source : [Qua89]
% 0.12/0.65 % Names : D5 [Qua89]
% 0.12/0.65
% 0.12/0.65 % Status : Unsatisfiable
% 0.12/0.65 % Rating : 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 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 v2.0.0
% 0.12/0.65 % Syntax : Number of clauses : 29 ( 10 unt; 5 nHn; 25 RR)
% 0.12/0.65 % Number of literals : 74 ( 7 equ; 42 neg)
% 0.12/0.65 % Maximal clause size : 8 ( 2 avg)
% 0.12/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.12/0.65 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.12/0.65 % Number of functors : 14 ( 14 usr; 9 con; 0-6 aty)
% 0.12/0.65 % Number of variables : 101 ( 3 sgn)
% 0.12/0.65 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.12/0.65
% 0.12/0.65 % Comments : In [Quiafe, 1989] the next problem (D6) is omitted.
% 0.12/0.65 %--------------------------------------------------------------------------
% 0.12/0.65 %----Include Tarski geometry axioms
% 0.12/0.65 include('Axioms/GEO002-0.ax').
% 0.12/0.65 %--------------------------------------------------------------------------
% 0.12/0.65 cnf(d1,axiom,
% 0.12/0.65 equidistant(U,V,U,V) ).
% 0.12/0.65
% 0.12/0.65 cnf(d2,axiom,
% 0.12/0.65 ( ~ equidistant(U,V,W,X)
% 0.12/0.65 | equidistant(W,X,U,V) ) ).
% 0.12/0.65
% 0.12/0.65 cnf(d3,axiom,
% 0.12/0.65 ( ~ equidistant(U,V,W,X)
% 0.12/0.65 | equidistant(V,U,W,X) ) ).
% 0.12/0.65
% 0.12/0.65 cnf(d4_1,axiom,
% 0.12/0.65 ( ~ equidistant(U,V,W,X)
% 0.12/0.65 | equidistant(U,V,X,W) ) ).
% 0.12/0.65
% 0.12/0.65 cnf(d4_2,axiom,
% 0.12/0.65 ( ~ equidistant(U,V,W,X)
% 0.12/0.65 | equidistant(V,U,X,W) ) ).
% 0.12/0.65
% 0.12/0.65 cnf(d4_3,axiom,
% 0.12/0.65 ( ~ equidistant(U,V,W,X)
% 0.12/0.65 | equidistant(W,X,V,U) ) ).
% 0.12/0.65
% 0.12/0.65 cnf(d4_4,axiom,
% 0.12/0.65 ( ~ equidistant(U,V,W,X)
% 0.12/0.65 | equidistant(X,W,U,V) ) ).
% 0.12/0.65
% 0.12/0.65 cnf(d4_5,axiom,
% 0.12/0.65 ( ~ equidistant(U,V,W,X)
% 0.12/0.65 | equidistant(X,W,V,U) ) ).
% 0.12/0.65
% 0.12/0.65 cnf(u_to_v_equals_w_to_x,hypothesis,
% 0.12/0.65 equidistant(u,v,w,x) ).
% 0.12/0.65
% 0.12/0.65 cnf(w_to_x_equals_y_to_z,hypothesis,
% 0.12/0.65 equidistant(w,x,y,z) ).
% 0.12/0.65
% 0.12/0.65 cnf(prove_transitivity,negated_conjecture,
% 0.12/0.65 ~ equidistant(u,v,y,z) ).
% 0.12/0.65
% 0.12/0.65 %--------------------------------------------------------------------------
% 0.12/0.65 %-------------------------------------------
% 0.12/0.65 % Proof found
% 0.12/0.65 % SZS status Theorem for theBenchmark
% 0.12/0.65 % SZS output start Proof
% 0.12/0.67 %ClaNum:64(EqnAxiom:35)
% 0.12/0.67 %VarNum:271(SingletonVarNum:101)
% 0.12/0.67 %MaxLitNum:8
% 0.12/0.67 %MaxfuncDepth:1
% 0.12/0.67 %SharedTerms:15
% 0.12/0.67 %goalClause: 45
% 0.12/0.67 %singleGoalClaCount:1
% 0.12/0.67 [36]P1(a1,a10,a11,a12)
% 0.12/0.67 [37]P1(a11,a12,a13,a14)
% 0.12/0.67 [42]~P2(a6,a8,a9)
% 0.12/0.67 [43]~P2(a8,a9,a6)
% 0.12/0.67 [44]~P2(a9,a6,a8)
% 0.12/0.67 [45]~P1(a1,a10,a13,a14)
% 0.12/0.67 [38]P1(x381,x382,x382,x381)
% 0.12/0.67 [39]P1(x391,x392,x391,x392)
% 0.12/0.67 [40]P2(x401,x402,f2(x401,x402,x403,x404))
% 0.12/0.67 [41]P1(x411,f2(x412,x411,x413,x414),x413,x414)
% 0.12/0.67 [46]~P2(x461,x462,x461)+E(x461,x462)
% 0.12/0.67 [47]~P1(x471,x472,x473,x473)+E(x471,x472)
% 0.12/0.67 [48]~P1(x484,x483,x482,x481)+P1(x481,x482,x483,x484)
% 0.12/0.67 [49]~P1(x493,x494,x492,x491)+P1(x491,x492,x493,x494)
% 0.12/0.67 [50]~P1(x504,x503,x501,x502)+P1(x501,x502,x503,x504)
% 0.12/0.67 [51]~P1(x513,x514,x511,x512)+P1(x511,x512,x513,x514)
% 0.12/0.67 [52]~P1(x522,x521,x524,x523)+P1(x521,x522,x523,x524)
% 0.12/0.67 [53]~P1(x532,x531,x533,x534)+P1(x531,x532,x533,x534)
% 0.12/0.67 [54]~P1(x541,x542,x544,x543)+P1(x541,x542,x543,x544)
% 0.12/0.67 [58]~P2(x585,x581,x584)+~P2(x582,x583,x584)+P2(x581,f7(x582,x583,x584,x581,x585),x582)
% 0.12/0.67 [59]~P2(x595,x594,x593)+~P2(x592,x591,x593)+P2(x591,f7(x592,x591,x593,x594,x595),x595)
% 0.12/0.67 [55]~P1(x555,x556,x551,x552)+P1(x551,x552,x553,x554)+~P1(x555,x556,x553,x554)
% 0.12/0.67 [60]~P2(x604,x602,x603)+~P2(x601,x602,x605)+E(x601,x602)+P2(x601,x603,f3(x601,x604,x602,x603,x605))
% 0.12/0.67 [61]~P2(x613,x612,x614)+~P2(x611,x612,x615)+E(x611,x612)+P2(x611,x613,f4(x611,x613,x612,x614,x615))
% 0.12/0.67 [62]~P2(x623,x622,x624)+~P2(x621,x622,x625)+E(x621,x622)+P2(f4(x621,x623,x622,x624,x625),x625,f3(x621,x623,x622,x624,x625))
% 0.12/0.67 [63]~P2(x633,x634,x635)+~P2(x632,x633,x635)+~P1(x632,x635,x632,x636)+~P1(x632,x633,x632,x631)+P2(x631,f5(x632,x633,x631,x634,x635,x636),x636)
% 0.12/0.67 [64]~P2(x643,x642,x645)+~P2(x641,x643,x645)+~P1(x641,x645,x641,x646)+~P1(x641,x643,x641,x644)+P1(x641,x642,x641,f5(x641,x643,x644,x642,x645,x646))
% 0.12/0.67 [56]P2(x565,x563,x564)+P2(x564,x565,x563)+~P1(x563,x561,x563,x562)+~P1(x565,x561,x565,x562)+~P1(x564,x561,x564,x562)+E(x561,x562)+P2(x563,x564,x565)
% 0.12/0.67 [57]~P2(x571,x572,x573)+~P1(x572,x574,x578,x576)+~P1(x572,x573,x578,x575)+~P1(x571,x574,x577,x576)+~P1(x571,x572,x577,x578)+E(x571,x572)+P1(x573,x574,x575,x576)+~P2(x577,x578,x575)
% 0.12/0.67 %EqnAxiom
% 0.12/0.67 [1]E(x11,x11)
% 0.12/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.12/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.12/0.67 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 0.12/0.67 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 0.12/0.67 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 0.12/0.67 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 0.12/0.67 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 0.12/0.67 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 0.12/0.67 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 0.12/0.67 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 0.12/0.67 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 0.12/0.67 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 0.12/0.67 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145,x146),f7(x142,x143,x144,x145,x146))
% 0.12/0.67 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155,x156),f7(x153,x152,x154,x155,x156))
% 0.12/0.67 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165,x166),f7(x163,x164,x162,x165,x166))
% 0.12/0.67 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171,x176),f7(x173,x174,x175,x172,x176))
% 0.12/0.67 [18]~E(x181,x182)+E(f7(x183,x184,x185,x186,x181),f7(x183,x184,x185,x186,x182))
% 0.12/0.67 [19]~E(x191,x192)+E(f3(x191,x193,x194,x195,x196),f3(x192,x193,x194,x195,x196))
% 0.12/0.67 [20]~E(x201,x202)+E(f3(x203,x201,x204,x205,x206),f3(x203,x202,x204,x205,x206))
% 0.12/0.67 [21]~E(x211,x212)+E(f3(x213,x214,x211,x215,x216),f3(x213,x214,x212,x215,x216))
% 0.12/0.67 [22]~E(x221,x222)+E(f3(x223,x224,x225,x221,x226),f3(x223,x224,x225,x222,x226))
% 0.12/0.67 [23]~E(x231,x232)+E(f3(x233,x234,x235,x236,x231),f3(x233,x234,x235,x236,x232))
% 0.12/0.67 [24]~E(x241,x242)+E(f4(x241,x243,x244,x245,x246),f4(x242,x243,x244,x245,x246))
% 0.12/0.67 [25]~E(x251,x252)+E(f4(x253,x251,x254,x255,x256),f4(x253,x252,x254,x255,x256))
% 0.12/0.67 [26]~E(x261,x262)+E(f4(x263,x264,x261,x265,x266),f4(x263,x264,x262,x265,x266))
% 0.12/0.67 [27]~E(x271,x272)+E(f4(x273,x274,x275,x271,x276),f4(x273,x274,x275,x272,x276))
% 0.12/0.67 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x281),f4(x283,x284,x285,x286,x282))
% 0.12/0.67 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.12/0.67 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.12/0.67 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.12/0.67 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.12/0.67 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.12/0.67 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.12/0.67 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.12/0.67
% 0.12/0.67 %-------------------------------------------
% 0.12/0.68 cnf(69,plain,
% 0.12/0.68 (~P1(a13,a14,a1,a10)),
% 0.12/0.68 inference(scs_inference,[],[45,54,53,52,51])).
% 0.12/0.68 cnf(158,plain,
% 0.12/0.68 ($false),
% 0.12/0.68 inference(scs_inference,[],[39,36,37,41,40,69,53,49,59,64,55,54,52,51]),
% 0.12/0.68 ['proof']).
% 0.12/0.68 % SZS output end Proof
% 0.12/0.68 % Total time :0.030000s
%------------------------------------------------------------------------------