TSTP Solution File: GEO057-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO057-3 : 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 22:42:42 EDT 2023
% Result : Unsatisfiable 0.19s 0.60s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO057-3 : 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
% 0.12/0.34 % Computer : n019.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 23:42:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 % File :CSE---1.6
% 0.19/0.59 % Problem :theBenchmark
% 0.19/0.59 % Transform :cnf
% 0.19/0.59 % Format :tptp:raw
% 0.19/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.59
% 0.19/0.59 % Result :Theorem 0.000000s
% 0.19/0.59 % Output :CNFRefutation 0.000000s
% 0.19/0.59 %-------------------------------------------
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.60 % File : GEO057-3 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.60 % Domain : Geometry
% 0.19/0.60 % Problem : Corollary 2 of null extension
% 0.19/0.60 % Version : [Qua89] axioms : Augmented.
% 0.19/0.60 % English :
% 0.19/0.60
% 0.19/0.60 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.19/0.60 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.19/0.60 % Source : [Qua89]
% 0.19/0.60 % Names : R3.2 [Qua89]
% 0.19/0.60
% 0.19/0.60 % Status : Unsatisfiable
% 0.19/0.60 % Rating : 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, 0.06 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 v2.0.0
% 0.19/0.60 % Syntax : Number of clauses : 33 ( 12 unt; 5 nHn; 25 RR)
% 0.19/0.60 % Number of literals : 81 ( 11 equ; 45 neg)
% 0.19/0.60 % Maximal clause size : 8 ( 2 avg)
% 0.19/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.60 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.19/0.60 % Number of functors : 10 ( 10 usr; 4 con; 0-6 aty)
% 0.19/0.60 % Number of variables : 121 ( 6 sgn)
% 0.19/0.60 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.19/0.60
% 0.19/0.60 % Comments :
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.60 %----Include Tarski geometry axioms
% 0.19/0.60 include('Axioms/GEO002-0.ax').
% 0.19/0.60 %----Include definition of reflection
% 0.19/0.60 include('Axioms/GEO002-2.ax').
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.60 cnf(d1,axiom,
% 0.19/0.60 equidistant(U,V,U,V) ).
% 0.19/0.60
% 0.19/0.60 cnf(d2,axiom,
% 0.19/0.60 ( ~ equidistant(U,V,W,X)
% 0.19/0.60 | equidistant(W,X,U,V) ) ).
% 0.19/0.60
% 0.19/0.60 cnf(d3,axiom,
% 0.19/0.60 ( ~ equidistant(U,V,W,X)
% 0.19/0.60 | equidistant(V,U,W,X) ) ).
% 0.19/0.60
% 0.19/0.60 cnf(d4_1,axiom,
% 0.19/0.60 ( ~ equidistant(U,V,W,X)
% 0.19/0.60 | equidistant(U,V,X,W) ) ).
% 0.19/0.60
% 0.19/0.60 cnf(d4_2,axiom,
% 0.19/0.60 ( ~ equidistant(U,V,W,X)
% 0.19/0.60 | equidistant(V,U,X,W) ) ).
% 0.19/0.60
% 0.19/0.60 cnf(d4_3,axiom,
% 0.19/0.60 ( ~ equidistant(U,V,W,X)
% 0.19/0.60 | equidistant(W,X,V,U) ) ).
% 0.19/0.60
% 0.19/0.60 cnf(d4_4,axiom,
% 0.19/0.60 ( ~ equidistant(U,V,W,X)
% 0.19/0.60 | equidistant(X,W,U,V) ) ).
% 0.19/0.60
% 0.19/0.60 cnf(d4_5,axiom,
% 0.19/0.60 ( ~ equidistant(U,V,W,X)
% 0.19/0.60 | equidistant(X,W,V,U) ) ).
% 0.19/0.60
% 0.19/0.60 cnf(d5,axiom,
% 0.19/0.60 ( ~ equidistant(U,V,W,X)
% 0.19/0.60 | ~ equidistant(W,X,Y,Z)
% 0.19/0.60 | equidistant(U,V,Y,Z) ) ).
% 0.19/0.60
% 0.19/0.60 cnf(e1,axiom,
% 0.19/0.60 V = extension(U,V,W,W) ).
% 0.19/0.60
% 0.19/0.60 cnf(b0,axiom,
% 0.19/0.60 ( Y != extension(U,V,W,X)
% 0.19/0.60 | between(U,V,Y) ) ).
% 0.19/0.60
% 0.19/0.60 cnf(r2_1,axiom,
% 0.19/0.60 between(U,V,reflection(U,V)) ).
% 0.19/0.60
% 0.19/0.60 cnf(r2_2,axiom,
% 0.19/0.60 equidistant(V,reflection(U,V),U,V) ).
% 0.19/0.60
% 0.19/0.60 cnf(prove_null_extension_by_reflection,negated_conjecture,
% 0.19/0.60 u != reflection(u,u) ).
% 0.19/0.60
% 0.19/0.60 %--------------------------------------------------------------------------
% 0.19/0.60 %-------------------------------------------
% 0.19/0.60 % Proof found
% 0.19/0.60 % SZS status Theorem for theBenchmark
% 0.19/0.60 % SZS output start Proof
% 0.19/0.60 %ClaNum:67(EqnAxiom:35)
% 0.19/0.60 %VarNum:296(SingletonVarNum:115)
% 0.19/0.60 %MaxLitNum:8
% 0.19/0.60 %MaxfuncDepth:1
% 0.19/0.60 %SharedTerms:9
% 0.19/0.60 %goalClause: 46
% 0.19/0.60 %singleGoalClaCount:1
% 0.19/0.60 [43]~P2(a5,a7,a8)
% 0.19/0.60 [44]~P2(a7,a8,a5)
% 0.19/0.60 [45]~P2(a8,a5,a7)
% 0.19/0.60 [46]~E(f1(a9,a9,a9,a9),a9)
% 0.19/0.60 [36]P1(x361,x362,x362,x361)
% 0.19/0.60 [37]P1(x371,x372,x371,x372)
% 0.19/0.60 [38]E(f1(x381,x382,x383,x383),x382)
% 0.19/0.60 [39]P2(x391,x392,f1(x391,x392,x393,x394))
% 0.19/0.60 [41]P1(x411,f1(x412,x411,x413,x414),x413,x414)
% 0.19/0.60 [47]~P2(x471,x472,x471)+E(x471,x472)
% 0.19/0.60 [48]~P1(x481,x482,x483,x483)+E(x481,x482)
% 0.19/0.60 [50]~P1(x504,x503,x502,x501)+P1(x501,x502,x503,x504)
% 0.19/0.60 [51]~P1(x513,x514,x512,x511)+P1(x511,x512,x513,x514)
% 0.19/0.60 [52]~P1(x524,x523,x521,x522)+P1(x521,x522,x523,x524)
% 0.19/0.60 [53]~P1(x533,x534,x531,x532)+P1(x531,x532,x533,x534)
% 0.19/0.60 [54]~P1(x542,x541,x544,x543)+P1(x541,x542,x543,x544)
% 0.19/0.60 [55]~P1(x552,x551,x553,x554)+P1(x551,x552,x553,x554)
% 0.19/0.60 [56]~P1(x561,x562,x564,x563)+P1(x561,x562,x563,x564)
% 0.19/0.60 [49]P2(x491,x492,x493)+~E(x493,f1(x491,x492,x494,x495))
% 0.19/0.60 [61]~P2(x615,x611,x614)+~P2(x612,x613,x614)+P2(x611,f6(x612,x613,x614,x611,x615),x612)
% 0.19/0.60 [62]~P2(x625,x624,x623)+~P2(x622,x621,x623)+P2(x621,f6(x622,x621,x623,x624,x625),x625)
% 0.19/0.60 [57]~P1(x575,x576,x571,x572)+P1(x571,x572,x573,x574)+~P1(x575,x576,x573,x574)
% 0.19/0.60 [58]~P1(x581,x582,x585,x586)+P1(x581,x582,x583,x584)+~P1(x585,x586,x583,x584)
% 0.19/0.60 [63]~P2(x634,x632,x633)+~P2(x631,x632,x635)+E(x631,x632)+P2(x631,x633,f2(x631,x634,x632,x633,x635))
% 0.19/0.60 [64]~P2(x643,x642,x644)+~P2(x641,x642,x645)+E(x641,x642)+P2(x641,x643,f3(x641,x643,x642,x644,x645))
% 0.19/0.60 [65]~P2(x653,x652,x654)+~P2(x651,x652,x655)+E(x651,x652)+P2(f3(x651,x653,x652,x654,x655),x655,f2(x651,x653,x652,x654,x655))
% 0.19/0.60 [66]~P2(x663,x664,x665)+~P2(x662,x663,x665)+~P1(x662,x665,x662,x666)+~P1(x662,x663,x662,x661)+P2(x661,f4(x662,x663,x661,x664,x665,x666),x666)
% 0.19/0.60 [67]~P2(x673,x672,x675)+~P2(x671,x673,x675)+~P1(x671,x675,x671,x676)+~P1(x671,x673,x671,x674)+P1(x671,x672,x671,f4(x671,x673,x674,x672,x675,x676))
% 0.19/0.60 [59]P2(x595,x593,x594)+P2(x594,x595,x593)+~P1(x593,x591,x593,x592)+~P1(x595,x591,x595,x592)+~P1(x594,x591,x594,x592)+E(x591,x592)+P2(x593,x594,x595)
% 0.19/0.60 [60]~P2(x601,x602,x603)+~P1(x602,x604,x608,x606)+~P1(x602,x603,x608,x605)+~P1(x601,x604,x607,x606)+~P1(x601,x602,x607,x608)+E(x601,x602)+P1(x603,x604,x605,x606)+~P2(x607,x608,x605)
% 0.19/0.60 %EqnAxiom
% 0.19/0.60 [1]E(x11,x11)
% 0.19/0.60 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.60 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.19/0.60 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.19/0.60 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.19/0.60 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.19/0.60 [8]~E(x81,x82)+E(f4(x81,x83,x84,x85,x86,x87),f4(x82,x83,x84,x85,x86,x87))
% 0.19/0.60 [9]~E(x91,x92)+E(f4(x93,x91,x94,x95,x96,x97),f4(x93,x92,x94,x95,x96,x97))
% 0.19/0.60 [10]~E(x101,x102)+E(f4(x103,x104,x101,x105,x106,x107),f4(x103,x104,x102,x105,x106,x107))
% 0.19/0.60 [11]~E(x111,x112)+E(f4(x113,x114,x115,x111,x116,x117),f4(x113,x114,x115,x112,x116,x117))
% 0.19/0.60 [12]~E(x121,x122)+E(f4(x123,x124,x125,x126,x121,x127),f4(x123,x124,x125,x126,x122,x127))
% 0.19/0.60 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x137,x131),f4(x133,x134,x135,x136,x137,x132))
% 0.19/0.60 [14]~E(x141,x142)+E(f6(x141,x143,x144,x145,x146),f6(x142,x143,x144,x145,x146))
% 0.19/0.60 [15]~E(x151,x152)+E(f6(x153,x151,x154,x155,x156),f6(x153,x152,x154,x155,x156))
% 0.19/0.60 [16]~E(x161,x162)+E(f6(x163,x164,x161,x165,x166),f6(x163,x164,x162,x165,x166))
% 0.19/0.60 [17]~E(x171,x172)+E(f6(x173,x174,x175,x171,x176),f6(x173,x174,x175,x172,x176))
% 0.19/0.60 [18]~E(x181,x182)+E(f6(x183,x184,x185,x186,x181),f6(x183,x184,x185,x186,x182))
% 0.19/0.60 [19]~E(x191,x192)+E(f2(x191,x193,x194,x195,x196),f2(x192,x193,x194,x195,x196))
% 0.19/0.60 [20]~E(x201,x202)+E(f2(x203,x201,x204,x205,x206),f2(x203,x202,x204,x205,x206))
% 0.19/0.60 [21]~E(x211,x212)+E(f2(x213,x214,x211,x215,x216),f2(x213,x214,x212,x215,x216))
% 0.19/0.60 [22]~E(x221,x222)+E(f2(x223,x224,x225,x221,x226),f2(x223,x224,x225,x222,x226))
% 0.19/0.60 [23]~E(x231,x232)+E(f2(x233,x234,x235,x236,x231),f2(x233,x234,x235,x236,x232))
% 0.19/0.60 [24]~E(x241,x242)+E(f3(x241,x243,x244,x245,x246),f3(x242,x243,x244,x245,x246))
% 0.19/0.60 [25]~E(x251,x252)+E(f3(x253,x251,x254,x255,x256),f3(x253,x252,x254,x255,x256))
% 0.19/0.60 [26]~E(x261,x262)+E(f3(x263,x264,x261,x265,x266),f3(x263,x264,x262,x265,x266))
% 0.19/0.60 [27]~E(x271,x272)+E(f3(x273,x274,x275,x271,x276),f3(x273,x274,x275,x272,x276))
% 0.19/0.60 [28]~E(x281,x282)+E(f3(x283,x284,x285,x286,x281),f3(x283,x284,x285,x286,x282))
% 0.19/0.61 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.19/0.61 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.19/0.61 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.19/0.61 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.19/0.61 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.19/0.61 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.19/0.61 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 cnf(68,plain,
% 0.19/0.61 ($false),
% 0.19/0.61 inference(scs_inference,[],[46,38]),
% 0.19/0.61 ['proof']).
% 0.19/0.61 % SZS output end Proof
% 0.19/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------