%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO035-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n028.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 : Mon Jun 24 06:03:25 EDT 2024
% Result : Unsatisfiable 0.64s 0.84s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.15 % Problem : GEO035-2 : TPTP v8.2.0. Released v1.0.0.
% 0.05/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Jun 21 07:54:39 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.56/0.67 start to proof:theBenchmark
% 0.64/0.84 %-------------------------------------------
% 0.64/0.84 % File :CSE---1.7
% 0.64/0.84 % Problem :theBenchmark
% 0.64/0.84 % Transform :cnf
% 0.64/0.84 % Format :tptp:raw
% 0.64/0.84 % Command :java -jar mcs_scs.jar %d %s
% 0.64/0.84
% 0.64/0.84 % Result :Theorem 0.120000s
% 0.64/0.84 % Output :CNFRefutation 0.120000s
% 0.64/0.84 %-------------------------------------------
% 0.64/0.84 %--------------------------------------------------------------------------
% 0.64/0.84 % File : GEO035-2 : TPTP v8.2.0. Released v1.0.0.
% 0.64/0.84 % Domain : Geometry
% 0.64/0.84 % Problem : A null extension does not extend a line
% 0.64/0.84 % Version : [Qua89] axioms.
% 0.64/0.84 % English :
% 0.64/0.84
% 0.64/0.84 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.64/0.84 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.64/0.84 % Source : [TPTP]
% 0.64/0.84 % Names :
% 0.64/0.84
% 0.64/0.84 % Status : Unsatisfiable
% 0.64/0.84 % Rating : 0.00 v8.2.0, 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, 0.18 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.18 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
% 0.64/0.84 % Syntax : Number of clauses : 19 ( 7 unt; 5 nHn; 16 RR)
% 0.64/0.84 % Number of literals : 57 ( 8 equ; 35 neg)
% 0.64/0.84 % Maximal clause size : 8 ( 3 avg)
% 0.64/0.84 % Maximal term depth : 2 ( 1 avg)
% 0.64/0.84 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.64/0.84 % Number of functors : 11 ( 11 usr; 6 con; 0-6 aty)
% 0.64/0.84 % Number of variables : 71 ( 3 sgn)
% 0.64/0.84 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.64/0.84
% 0.64/0.84 % Comments :
% 0.64/0.84 %--------------------------------------------------------------------------
% 0.64/0.84 %----Include Tarski geometry axioms
% 0.64/0.84 include('Axioms/GEO002-0.ax').
% 0.64/0.84 %--------------------------------------------------------------------------
% 0.64/0.84 cnf(prove_null_extension,negated_conjecture,
% 0.64/0.84 v != extension(u,v,w,w) ).
% 0.64/0.84
% 0.64/0.84 %--------------------------------------------------------------------------
% 0.64/0.84 %-------------------------------------------
% 0.64/0.84 % Proof found
% 0.64/0.84 % SZS status Theorem for theBenchmark
% 0.64/0.84 % SZS output start Proof
% 0.64/0.85 %ClaNum:54(EqnAxiom:35)
% 0.64/0.85 %VarNum:211(SingletonVarNum:71)
% 0.64/0.85 %MaxLitNum:8
% 0.64/0.85 %MaxfuncDepth:1
% 0.64/0.85 %SharedTerms:11
% 0.64/0.85 %goalClause: 42
% 0.64/0.85 %singleGoalClaCount:1
% 0.64/0.85 [39]~P2(a5,a7,a8)
% 0.64/0.85 [40]~P2(a7,a8,a5)
% 0.64/0.85 [41]~P2(a8,a5,a7)
% 0.64/0.85 [42]~E(f1(a9,a10,a11,a11),a10)
% 0.64/0.85 [36]P1(x361,x362,x362,x361)
% 0.64/0.85 [37]P2(x371,x372,f1(x371,x372,x373,x374))
% 0.64/0.85 [38]P1(x381,f1(x382,x381,x383,x384),x383,x384)
% 0.64/0.85 [43]~P2(x431,x432,x431)+E(x431,x432)
% 0.64/0.85 [44]~P1(x441,x442,x443,x443)+E(x441,x442)
% 0.64/0.85 [48]~P2(x485,x481,x484)+~P2(x482,x483,x484)+P2(x481,f6(x482,x483,x484,x481,x485),x482)
% 0.64/0.85 [49]~P2(x495,x494,x493)+~P2(x492,x491,x493)+P2(x491,f6(x492,x491,x493,x494,x495),x495)
% 0.64/0.85 [45]~P1(x455,x456,x451,x452)+P1(x451,x452,x453,x454)+~P1(x455,x456,x453,x454)
% 0.64/0.85 [50]~P2(x504,x502,x503)+~P2(x501,x502,x505)+E(x501,x502)+P2(x501,x503,f2(x501,x504,x502,x503,x505))
% 0.64/0.85 [51]~P2(x513,x512,x514)+~P2(x511,x512,x515)+E(x511,x512)+P2(x511,x513,f3(x511,x513,x512,x514,x515))
% 0.64/0.85 [52]~P2(x523,x522,x524)+~P2(x521,x522,x525)+E(x521,x522)+P2(f3(x521,x523,x522,x524,x525),x525,f2(x521,x523,x522,x524,x525))
% 0.64/0.85 [53]~P2(x533,x534,x535)+~P2(x532,x533,x535)+~P1(x532,x535,x532,x536)+~P1(x532,x533,x532,x531)+P2(x531,f4(x532,x533,x531,x534,x535,x536),x536)
% 0.64/0.85 [54]~P2(x543,x542,x545)+~P2(x541,x543,x545)+~P1(x541,x545,x541,x546)+~P1(x541,x543,x541,x544)+P1(x541,x542,x541,f4(x541,x543,x544,x542,x545,x546))
% 0.64/0.85 [46]P2(x465,x463,x464)+P2(x464,x465,x463)+~P1(x463,x461,x463,x462)+~P1(x465,x461,x465,x462)+~P1(x464,x461,x464,x462)+E(x461,x462)+P2(x463,x464,x465)
% 0.64/0.85 [47]~P2(x471,x472,x473)+~P1(x472,x474,x478,x476)+~P1(x472,x473,x478,x475)+~P1(x471,x474,x477,x476)+~P1(x471,x472,x477,x478)+E(x471,x472)+P1(x473,x474,x475,x476)+~P2(x477,x478,x475)
% 0.64/0.85 %EqnAxiom
% 0.64/0.85 [1]E(x11,x11)
% 0.64/0.85 [2]E(x22,x21)+~E(x21,x22)
% 0.64/0.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.64/0.85 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.64/0.85 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.64/0.85 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.64/0.85 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.64/0.85 [8]~E(x81,x82)+E(f4(x81,x83,x84,x85,x86,x87),f4(x82,x83,x84,x85,x86,x87))
% 0.64/0.85 [9]~E(x91,x92)+E(f4(x93,x91,x94,x95,x96,x97),f4(x93,x92,x94,x95,x96,x97))
% 0.64/0.85 [10]~E(x101,x102)+E(f4(x103,x104,x101,x105,x106,x107),f4(x103,x104,x102,x105,x106,x107))
% 0.64/0.85 [11]~E(x111,x112)+E(f4(x113,x114,x115,x111,x116,x117),f4(x113,x114,x115,x112,x116,x117))
% 0.64/0.85 [12]~E(x121,x122)+E(f4(x123,x124,x125,x126,x121,x127),f4(x123,x124,x125,x126,x122,x127))
% 0.64/0.85 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x137,x131),f4(x133,x134,x135,x136,x137,x132))
% 0.64/0.85 [14]~E(x141,x142)+E(f2(x141,x143,x144,x145,x146),f2(x142,x143,x144,x145,x146))
% 0.64/0.85 [15]~E(x151,x152)+E(f2(x153,x151,x154,x155,x156),f2(x153,x152,x154,x155,x156))
% 0.64/0.85 [16]~E(x161,x162)+E(f2(x163,x164,x161,x165,x166),f2(x163,x164,x162,x165,x166))
% 0.64/0.85 [17]~E(x171,x172)+E(f2(x173,x174,x175,x171,x176),f2(x173,x174,x175,x172,x176))
% 0.64/0.85 [18]~E(x181,x182)+E(f2(x183,x184,x185,x186,x181),f2(x183,x184,x185,x186,x182))
% 0.64/0.85 [19]~E(x191,x192)+E(f6(x191,x193,x194,x195,x196),f6(x192,x193,x194,x195,x196))
% 0.64/0.85 [20]~E(x201,x202)+E(f6(x203,x201,x204,x205,x206),f6(x203,x202,x204,x205,x206))
% 0.64/0.85 [21]~E(x211,x212)+E(f6(x213,x214,x211,x215,x216),f6(x213,x214,x212,x215,x216))
% 0.64/0.85 [22]~E(x221,x222)+E(f6(x223,x224,x225,x221,x226),f6(x223,x224,x225,x222,x226))
% 0.64/0.85 [23]~E(x231,x232)+E(f6(x233,x234,x235,x236,x231),f6(x233,x234,x235,x236,x232))
% 0.64/0.85 [24]~E(x241,x242)+E(f3(x241,x243,x244,x245,x246),f3(x242,x243,x244,x245,x246))
% 0.64/0.85 [25]~E(x251,x252)+E(f3(x253,x251,x254,x255,x256),f3(x253,x252,x254,x255,x256))
% 0.64/0.85 [26]~E(x261,x262)+E(f3(x263,x264,x261,x265,x266),f3(x263,x264,x262,x265,x266))
% 0.64/0.85 [27]~E(x271,x272)+E(f3(x273,x274,x275,x271,x276),f3(x273,x274,x275,x272,x276))
% 0.64/0.85 [28]~E(x281,x282)+E(f3(x283,x284,x285,x286,x281),f3(x283,x284,x285,x286,x282))
% 0.64/0.85 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.64/0.85 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.64/0.85 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.64/0.85 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.64/0.85 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.64/0.85 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.64/0.85 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.64/0.85
% 0.64/0.85 %-------------------------------------------
% 0.64/0.86 cnf(55,plain,
% 0.64/0.86 (~P2(f1(a9,a10,a11,a11),a10,f1(a9,a10,a11,a11))),
% 0.64/0.86 inference(scs_inference,[],[42,43])).
% 0.64/0.86 cnf(57,plain,
% 0.64/0.86 (~P1(f1(a9,a10,a11,a11),a10,x571,x571)),
% 0.64/0.86 inference(scs_inference,[],[42,43,44])).
% 0.64/0.86 cnf(59,plain,
% 0.64/0.86 (P1(x591,x592,x591,x592)),
% 0.64/0.86 inference(scs_inference,[],[42,36,43,44,45])).
% 0.64/0.86 cnf(65,plain,
% 0.64/0.86 (~E(a9,f1(a9,a10,a11,a11))),
% 0.64/0.86 inference(scs_inference,[],[42,36,38,37,43,44,45,29,30,33])).
% 0.64/0.86 cnf(66,plain,
% 0.64/0.86 (P2(x661,x662,f1(x661,x662,x663,x664))),
% 0.64/0.86 inference(rename_variables,[],[37])).
% 0.64/0.86 cnf(67,plain,
% 0.64/0.86 (~E(f1(a5,a7,x671,x672),a8)),
% 0.64/0.86 inference(scs_inference,[],[42,36,38,37,66,39,43,44,45,29,30,33,35])).
% 0.64/0.86 cnf(78,plain,
% 0.64/0.86 (~P2(f1(a5,a7,x781,x782),a8,f1(a5,a7,x781,x782))),
% 0.64/0.86 inference(scs_inference,[],[67,43])).
% 0.64/0.86 cnf(80,plain,
% 0.64/0.86 (~P1(f1(a5,a7,x801,x802),a8,x803,x803)),
% 0.64/0.86 inference(scs_inference,[],[67,43,44])).
% 0.64/0.86 cnf(82,plain,
% 0.64/0.86 (~E(f1(x821,f1(a9,a10,a11,a11),x822,x822),a10)),
% 0.64/0.86 inference(scs_inference,[],[57,67,38,43,44,30])).
% 0.64/0.86 cnf(84,plain,
% 0.64/0.86 (~E(f1(f1(a9,a10,a11,a11),a10,x841,x842),f1(a9,a10,a11,a11))),
% 0.64/0.86 inference(scs_inference,[],[55,57,67,38,37,43,44,30,35])).
% 0.64/0.86 cnf(86,plain,
% 0.64/0.86 (~E(f1(a9,a10,a11,a11),a9)),
% 0.64/0.86 inference(scs_inference,[],[55,57,67,38,37,43,44,30,35,4])).
% 0.64/0.86 cnf(96,plain,
% 0.64/0.86 (~P2(a9,f1(a9,a10,a11,a11),a9)),
% 0.64/0.86 inference(scs_inference,[],[65,43])).
% 0.64/0.86 cnf(98,plain,
% 0.64/0.86 (~P1(f1(f1(a9,a10,a11,a11),a10,x981,x982),f1(a9,a10,a11,a11),x983,x983)),
% 0.64/0.86 inference(scs_inference,[],[84,65,43,44])).
% 0.64/0.86 cnf(100,plain,
% 0.64/0.86 (~E(a8,f1(a5,a7,x1001,x1002))),
% 0.64/0.86 inference(scs_inference,[],[80,59,84,65,43,44,29])).
% 0.64/0.86 cnf(103,plain,
% 0.64/0.86 (~E(f1(f1(a5,a7,x1031,x1032),a8,x1033,x1034),f1(a5,a7,x1031,x1032))),
% 0.64/0.86 inference(scs_inference,[],[78,80,59,84,65,37,43,44,29,35])).
% 0.64/0.86 cnf(112,plain,
% 0.64/0.86 (~P2(f1(a9,a10,a11,a11),a9,f1(a9,a10,a11,a11))),
% 0.64/0.86 inference(scs_inference,[],[86,43])).
% 0.64/0.86 cnf(114,plain,
% 0.64/0.86 (~P1(f1(a9,a10,a11,a11),a9,x1141,x1141)),
% 0.64/0.86 inference(scs_inference,[],[86,43,44])).
% 0.64/0.86 cnf(116,plain,
% 0.64/0.86 (~E(f1(a9,a10,a11,a11),f1(f1(a9,a10,a11,a11),a10,x1161,x1162))),
% 0.64/0.86 inference(scs_inference,[],[98,59,86,43,44,32])).
% 0.64/0.86 cnf(118,plain,
% 0.64/0.86 (~P1(f1(f1(a9,a10,a11,a11),a10,x1181,x1182),f1(a9,a10,a11,a11),x1183,x1183)),
% 0.64/0.86 inference(rename_variables,[],[98])).
% 0.64/0.86 cnf(121,plain,
% 0.64/0.86 (~E(a10,f1(f1(a9,a10,a11,a11),a10,x1211,x1212))),
% 0.64/0.86 inference(scs_inference,[],[96,98,118,59,86,38,37,43,44,32,35,29])).
% 0.64/0.86 cnf(134,plain,
% 0.64/0.86 (~E(f1(f1(a9,a10,a11,a11),a9,x1341,x1342),f1(a9,a10,a11,a11))),
% 0.64/0.86 inference(scs_inference,[],[112,116,37,43,44,35])).
% 0.64/0.86 cnf(136,plain,
% 0.64/0.86 (~E(f1(x1361,f1(a9,a10,a11,a11),x1362,x1362),a9)),
% 0.64/0.86 inference(scs_inference,[],[112,114,116,38,37,43,44,35,30])).
% 0.64/0.86 cnf(145,plain,
% 0.64/0.86 (~P1(f1(f1(a9,a10,a11,a11),a9,x1451,x1452),f1(a9,a10,a11,a11),x1453,x1453)),
% 0.64/0.86 inference(scs_inference,[],[134,121,43,44])).
% 0.64/0.86 cnf(154,plain,
% 0.64/0.86 (~P1(f1(f1(a5,a7,x1541,x1542),a8,x1543,x1544),f1(a5,a7,x1541,x1542),x1545,x1545)),
% 0.64/0.86 inference(scs_inference,[],[103,100,43,44])).
% 0.64/0.86 cnf(156,plain,
% 0.64/0.86 (~E(f1(a9,a10,a11,a11),f1(f1(a9,a10,a11,a11),a9,x1561,x1562))),
% 0.64/0.86 inference(scs_inference,[],[145,36,103,100,43,44,31])).
% 0.64/0.86 cnf(158,plain,
% 0.64/0.86 (~P1(f1(f1(a9,a10,a11,a11),a9,x1581,x1582),f1(a9,a10,a11,a11),x1583,x1583)),
% 0.64/0.86 inference(rename_variables,[],[145])).
% 0.64/0.86 cnf(159,plain,
% 0.64/0.86 (~E(a10,f1(f1(a9,a10,a11,a11),a9,x1591,x1592))),
% 0.64/0.86 inference(scs_inference,[],[145,158,38,36,103,100,43,44,31,29])).
% 0.64/0.86 cnf(173,plain,
% 0.64/0.86 (~P1(f1(f1(a5,a7,x1731,x1732),a8,x1733,x1734),f1(a5,a7,x1731,x1732),x1735,x1735)),
% 0.64/0.86 inference(rename_variables,[],[154])).
% 0.64/0.86 cnf(174,plain,
% 0.64/0.86 (~E(a7,f1(f1(a5,a7,x1741,x1741),a8,x1742,x1743))),
% 0.64/0.86 inference(scs_inference,[],[154,173,59,38,156,43,44,32,29])).
% 0.64/0.86 cnf(192,plain,
% 0.64/0.86 (~P1(f1(x1921,f1(a9,a10,a11,a11),x1922,x1922),a9,x1923,x1923)),
% 0.64/0.86 inference(scs_inference,[],[136,159,43,44])).
% 0.64/0.86 cnf(194,plain,
% 0.64/0.86 (P1(x1941,x1942,x1943,f1(x1944,x1943,x1941,x1942))),
% 0.64/0.86 inference(scs_inference,[],[38,59,136,159,43,44,45])).
% 0.64/0.86 cnf(209,plain,
% 0.64/0.86 (~P1(f1(x2091,f1(a9,a10,a11,a11),x2092,x2092),a10,x2093,x2093)),
% 0.64/0.86 inference(scs_inference,[],[82,174,43,44])).
% 0.64/0.86 cnf(211,plain,
% 0.64/0.86 (P1(x2111,x2112,f1(x2113,x2114,x2111,x2112),x2114)),
% 0.64/0.86 inference(scs_inference,[],[38,36,82,174,43,44,45])).
% 0.64/0.86 cnf(212,plain,
% 0.64/0.86 (P1(x2121,x2122,x2122,x2121)),
% 0.64/0.86 inference(rename_variables,[],[36])).
% 0.64/0.86 cnf(214,plain,
% 0.64/0.86 (~E(a9,f1(x2141,f1(a9,a10,a11,a11),x2142,x2142))),
% 0.64/0.86 inference(scs_inference,[],[192,38,36,212,82,174,43,44,45,31])).
% 0.64/0.86 cnf(228,plain,
% 0.64/0.86 (~P1(a9,f1(x2281,f1(a9,a10,a11,a11),x2282,x2282),x2283,x2283)),
% 0.64/0.86 inference(scs_inference,[],[214,43,44])).
% 0.64/0.86 cnf(233,plain,
% 0.64/0.86 (~E(a10,f1(x2331,f1(a9,a10,a11,a11),x2332,x2332))),
% 0.64/0.86 inference(scs_inference,[],[209,38,36,194,214,43,44,45,31])).
% 0.64/0.86 cnf(247,plain,
% 0.64/0.86 (~P1(a10,f1(x2471,f1(a9,a10,a11,a11),x2472,x2472),x2473,x2473)),
% 0.64/0.86 inference(scs_inference,[],[233,43,44])).
% 0.64/0.86 cnf(252,plain,
% 0.64/0.86 (~E(f1(x2521,a9,x2522,x2522),f1(x2523,f1(a9,a10,a11,a11),x2524,x2524))),
% 0.64/0.86 inference(scs_inference,[],[228,38,211,233,43,44,45,30])).
% 0.64/0.86 cnf(270,plain,
% 0.64/0.86 (~E(f1(x2701,a10,x2702,x2702),f1(x2703,f1(a9,a10,a11,a11),x2704,x2704))),
% 0.64/0.86 inference(scs_inference,[],[247,38,252,43,44,30])).
% 0.64/0.86 cnf(280,plain,
% 0.64/0.86 ($false),
% 0.64/0.86 inference(scs_inference,[],[38,270,43,44]),
% 0.64/0.86 ['proof']).
% 0.64/0.86 % SZS output end Proof
% 0.64/0.86 % Total time :0.120000s
%------------------------------------------------------------------------------