TSTP Solution File: GEO035-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO035-3 : 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 : 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 22:42:33 EDT 2023
% Result : Unsatisfiable 0.53s 0.65s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO035-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 20:49:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.53/0.65 %-------------------------------------------
% 0.53/0.65 % File :CSE---1.6
% 0.53/0.65 % Problem :theBenchmark
% 0.53/0.65 % Transform :cnf
% 0.53/0.65 % Format :tptp:raw
% 0.53/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.65
% 0.53/0.65 % Result :Theorem 0.010000s
% 0.53/0.65 % Output :CNFRefutation 0.010000s
% 0.53/0.65 %-------------------------------------------
% 0.53/0.65 %--------------------------------------------------------------------------
% 0.53/0.65 % File : GEO035-3 : TPTP v8.1.2. Released v1.0.0.
% 0.53/0.65 % Domain : Geometry
% 0.53/0.65 % Problem : A null extension does not extend a line
% 0.53/0.65 % Version : [Qua89] axioms : Augmented.
% 0.53/0.65 % English :
% 0.53/0.65
% 0.53/0.65 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.53/0.65 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.53/0.65 % Source : [Qua89]
% 0.53/0.65 % Names : E1 [Qua89]
% 0.53/0.65
% 0.53/0.65 % Status : Unsatisfiable
% 0.53/0.65 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.14 v6.0.0, 0.20 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.19 v5.1.0, 0.12 v5.0.0, 0.00 v4.0.1, 0.09 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.00 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.0.0
% 0.53/0.65 % Syntax : Number of clauses : 28 ( 8 unt; 5 nHn; 24 RR)
% 0.53/0.65 % Number of literals : 75 ( 8 equ; 44 neg)
% 0.53/0.65 % Maximal clause size : 8 ( 2 avg)
% 0.53/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.53/0.65 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.53/0.65 % Number of functors : 11 ( 11 usr; 6 con; 0-6 aty)
% 0.53/0.65 % Number of variables : 107 ( 3 sgn)
% 0.53/0.65 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.53/0.65
% 0.53/0.65 % Comments :
% 0.53/0.65 %--------------------------------------------------------------------------
% 0.53/0.65 %----Include Tarski geometry axioms
% 0.53/0.65 include('Axioms/GEO002-0.ax').
% 0.53/0.65 %--------------------------------------------------------------------------
% 0.53/0.65 cnf(d1,axiom,
% 0.53/0.65 equidistant(U,V,U,V) ).
% 0.53/0.65
% 0.53/0.65 cnf(d2,axiom,
% 0.53/0.65 ( ~ equidistant(U,V,W,X)
% 0.53/0.65 | equidistant(W,X,U,V) ) ).
% 0.53/0.65
% 0.53/0.65 cnf(d3,axiom,
% 0.53/0.65 ( ~ equidistant(U,V,W,X)
% 0.53/0.65 | equidistant(V,U,W,X) ) ).
% 0.53/0.65
% 0.53/0.65 cnf(d4_1,axiom,
% 0.53/0.65 ( ~ equidistant(U,V,W,X)
% 0.53/0.65 | equidistant(U,V,X,W) ) ).
% 0.53/0.65
% 0.53/0.65 cnf(d4_2,axiom,
% 0.53/0.65 ( ~ equidistant(U,V,W,X)
% 0.53/0.65 | equidistant(V,U,X,W) ) ).
% 0.53/0.65
% 0.53/0.65 cnf(d4_3,axiom,
% 0.53/0.65 ( ~ equidistant(U,V,W,X)
% 0.53/0.65 | equidistant(W,X,V,U) ) ).
% 0.53/0.65
% 0.53/0.65 cnf(d4_4,axiom,
% 0.53/0.65 ( ~ equidistant(U,V,W,X)
% 0.53/0.65 | equidistant(X,W,U,V) ) ).
% 0.53/0.65
% 0.53/0.65 cnf(d4_5,axiom,
% 0.53/0.65 ( ~ equidistant(U,V,W,X)
% 0.53/0.65 | equidistant(X,W,V,U) ) ).
% 0.53/0.65
% 0.53/0.65 cnf(d5,axiom,
% 0.53/0.65 ( ~ equidistant(U,V,W,X)
% 0.53/0.65 | ~ equidistant(W,X,Y,Z)
% 0.53/0.65 | equidistant(U,V,Y,Z) ) ).
% 0.53/0.65
% 0.53/0.65 cnf(prove_null_extension,negated_conjecture,
% 0.53/0.65 v != extension(u,v,w,w) ).
% 0.53/0.65
% 0.53/0.65 %--------------------------------------------------------------------------
% 0.53/0.65 %-------------------------------------------
% 0.53/0.65 % Proof found
% 0.53/0.65 % SZS status Theorem for theBenchmark
% 0.53/0.65 % SZS output start Proof
% 0.53/0.65 %ClaNum:63(EqnAxiom:35)
% 0.53/0.65 %VarNum:283(SingletonVarNum:107)
% 0.53/0.65 %MaxLitNum:8
% 0.53/0.65 %MaxfuncDepth:1
% 0.53/0.66 %SharedTerms:11
% 0.53/0.66 %goalClause: 43
% 0.53/0.66 %singleGoalClaCount:1
% 0.53/0.66 [40]~P2(a5,a7,a8)
% 0.53/0.66 [41]~P2(a7,a8,a5)
% 0.53/0.66 [42]~P2(a8,a5,a7)
% 0.53/0.66 [43]~E(f1(a9,a10,a11,a11),a10)
% 0.53/0.66 [36]P1(x361,x362,x362,x361)
% 0.53/0.66 [37]P1(x371,x372,x371,x372)
% 0.53/0.66 [38]P2(x381,x382,f1(x381,x382,x383,x384))
% 0.53/0.66 [39]P1(x391,f1(x392,x391,x393,x394),x393,x394)
% 0.53/0.66 [44]~P2(x441,x442,x441)+E(x441,x442)
% 0.53/0.66 [45]~P1(x451,x452,x453,x453)+E(x451,x452)
% 0.53/0.66 [46]~P1(x464,x463,x462,x461)+P1(x461,x462,x463,x464)
% 0.53/0.66 [47]~P1(x473,x474,x472,x471)+P1(x471,x472,x473,x474)
% 0.53/0.66 [48]~P1(x484,x483,x481,x482)+P1(x481,x482,x483,x484)
% 0.53/0.66 [49]~P1(x493,x494,x491,x492)+P1(x491,x492,x493,x494)
% 0.53/0.66 [50]~P1(x502,x501,x504,x503)+P1(x501,x502,x503,x504)
% 0.53/0.66 [51]~P1(x512,x511,x513,x514)+P1(x511,x512,x513,x514)
% 0.53/0.66 [52]~P1(x521,x522,x524,x523)+P1(x521,x522,x523,x524)
% 0.53/0.66 [57]~P2(x575,x571,x574)+~P2(x572,x573,x574)+P2(x571,f6(x572,x573,x574,x571,x575),x572)
% 0.53/0.66 [58]~P2(x585,x584,x583)+~P2(x582,x581,x583)+P2(x581,f6(x582,x581,x583,x584,x585),x585)
% 0.53/0.66 [53]~P1(x535,x536,x531,x532)+P1(x531,x532,x533,x534)+~P1(x535,x536,x533,x534)
% 0.53/0.66 [54]~P1(x541,x542,x545,x546)+P1(x541,x542,x543,x544)+~P1(x545,x546,x543,x544)
% 0.53/0.66 [59]~P2(x594,x592,x593)+~P2(x591,x592,x595)+E(x591,x592)+P2(x591,x593,f2(x591,x594,x592,x593,x595))
% 0.53/0.66 [60]~P2(x603,x602,x604)+~P2(x601,x602,x605)+E(x601,x602)+P2(x601,x603,f3(x601,x603,x602,x604,x605))
% 0.53/0.66 [61]~P2(x613,x612,x614)+~P2(x611,x612,x615)+E(x611,x612)+P2(f3(x611,x613,x612,x614,x615),x615,f2(x611,x613,x612,x614,x615))
% 0.53/0.66 [62]~P2(x623,x624,x625)+~P2(x622,x623,x625)+~P1(x622,x625,x622,x626)+~P1(x622,x623,x622,x621)+P2(x621,f4(x622,x623,x621,x624,x625,x626),x626)
% 0.53/0.66 [63]~P2(x633,x632,x635)+~P2(x631,x633,x635)+~P1(x631,x635,x631,x636)+~P1(x631,x633,x631,x634)+P1(x631,x632,x631,f4(x631,x633,x634,x632,x635,x636))
% 0.53/0.66 [55]P2(x555,x553,x554)+P2(x554,x555,x553)+~P1(x553,x551,x553,x552)+~P1(x555,x551,x555,x552)+~P1(x554,x551,x554,x552)+E(x551,x552)+P2(x553,x554,x555)
% 0.53/0.66 [56]~P2(x561,x562,x563)+~P1(x562,x564,x568,x566)+~P1(x562,x563,x568,x565)+~P1(x561,x564,x567,x566)+~P1(x561,x562,x567,x568)+E(x561,x562)+P1(x563,x564,x565,x566)+~P2(x567,x568,x565)
% 0.53/0.66 %EqnAxiom
% 0.53/0.66 [1]E(x11,x11)
% 0.53/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.66 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.53/0.66 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.53/0.66 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.53/0.66 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.53/0.66 [8]~E(x81,x82)+E(f4(x81,x83,x84,x85,x86,x87),f4(x82,x83,x84,x85,x86,x87))
% 0.53/0.66 [9]~E(x91,x92)+E(f4(x93,x91,x94,x95,x96,x97),f4(x93,x92,x94,x95,x96,x97))
% 0.53/0.66 [10]~E(x101,x102)+E(f4(x103,x104,x101,x105,x106,x107),f4(x103,x104,x102,x105,x106,x107))
% 0.53/0.66 [11]~E(x111,x112)+E(f4(x113,x114,x115,x111,x116,x117),f4(x113,x114,x115,x112,x116,x117))
% 0.53/0.66 [12]~E(x121,x122)+E(f4(x123,x124,x125,x126,x121,x127),f4(x123,x124,x125,x126,x122,x127))
% 0.53/0.66 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x137,x131),f4(x133,x134,x135,x136,x137,x132))
% 0.53/0.66 [14]~E(x141,x142)+E(f2(x141,x143,x144,x145,x146),f2(x142,x143,x144,x145,x146))
% 0.53/0.66 [15]~E(x151,x152)+E(f2(x153,x151,x154,x155,x156),f2(x153,x152,x154,x155,x156))
% 0.53/0.66 [16]~E(x161,x162)+E(f2(x163,x164,x161,x165,x166),f2(x163,x164,x162,x165,x166))
% 0.53/0.66 [17]~E(x171,x172)+E(f2(x173,x174,x175,x171,x176),f2(x173,x174,x175,x172,x176))
% 0.53/0.66 [18]~E(x181,x182)+E(f2(x183,x184,x185,x186,x181),f2(x183,x184,x185,x186,x182))
% 0.53/0.66 [19]~E(x191,x192)+E(f6(x191,x193,x194,x195,x196),f6(x192,x193,x194,x195,x196))
% 0.53/0.66 [20]~E(x201,x202)+E(f6(x203,x201,x204,x205,x206),f6(x203,x202,x204,x205,x206))
% 0.53/0.66 [21]~E(x211,x212)+E(f6(x213,x214,x211,x215,x216),f6(x213,x214,x212,x215,x216))
% 0.53/0.66 [22]~E(x221,x222)+E(f6(x223,x224,x225,x221,x226),f6(x223,x224,x225,x222,x226))
% 0.53/0.66 [23]~E(x231,x232)+E(f6(x233,x234,x235,x236,x231),f6(x233,x234,x235,x236,x232))
% 0.53/0.66 [24]~E(x241,x242)+E(f3(x241,x243,x244,x245,x246),f3(x242,x243,x244,x245,x246))
% 0.53/0.66 [25]~E(x251,x252)+E(f3(x253,x251,x254,x255,x256),f3(x253,x252,x254,x255,x256))
% 0.53/0.66 [26]~E(x261,x262)+E(f3(x263,x264,x261,x265,x266),f3(x263,x264,x262,x265,x266))
% 0.53/0.66 [27]~E(x271,x272)+E(f3(x273,x274,x275,x271,x276),f3(x273,x274,x275,x272,x276))
% 0.53/0.66 [28]~E(x281,x282)+E(f3(x283,x284,x285,x286,x281),f3(x283,x284,x285,x286,x282))
% 0.53/0.66 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.53/0.66 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.53/0.66 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.53/0.66 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.53/0.66 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.53/0.66 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.53/0.66 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.53/0.66
% 0.53/0.66 %-------------------------------------------
% 0.53/0.66 cnf(64,plain,
% 0.53/0.66 (~P1(f1(a9,a10,a11,a11),a10,x641,x641)),
% 0.53/0.66 inference(scs_inference,[],[43,45])).
% 0.53/0.66 cnf(67,plain,
% 0.53/0.66 (P2(x671,x672,f1(x671,x672,x673,x674))),
% 0.53/0.66 inference(rename_variables,[],[38])).
% 0.53/0.66 cnf(73,plain,
% 0.53/0.66 (P1(x731,f1(x732,x731,x733,x734),x733,x734)),
% 0.53/0.66 inference(rename_variables,[],[39])).
% 0.53/0.66 cnf(74,plain,
% 0.53/0.66 (P1(f1(x741,x742,x743,x744),x742,x743,x744)),
% 0.53/0.66 inference(scs_inference,[],[43,36,37,40,39,73,38,67,45,44,35,33,32,30,54])).
% 0.53/0.66 cnf(116,plain,
% 0.53/0.66 ($false),
% 0.53/0.66 inference(scs_inference,[],[74,64]),
% 0.53/0.66 ['proof']).
% 0.53/0.66 % SZS output end Proof
% 0.53/0.66 % Total time :0.010000s
%------------------------------------------------------------------------------