%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO003-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 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 : Mon Jun 24 06:03:12 EDT 2024
% Result : Unsatisfiable 0.58s 0.64s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO003-2 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri Jun 21 06:57:24 EDT 2024
% 0.18/0.32 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.58/0.64 %-------------------------------------------
% 0.58/0.64 % File :CSE---1.7
% 0.58/0.64 % Problem :theBenchmark
% 0.58/0.64 % Transform :cnf
% 0.58/0.64 % Format :tptp:raw
% 0.58/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.58/0.64
% 0.58/0.64 % Result :Theorem 0.040000s
% 0.58/0.64 % Output :CNFRefutation 0.040000s
% 0.58/0.64 %-------------------------------------------
% 0.58/0.64 %--------------------------------------------------------------------------
% 0.58/0.64 % File : GEO003-2 : TPTP v8.2.0. Released v1.0.0.
% 0.58/0.64 % Domain : Geometry
% 0.58/0.64 % Problem : For all points x and y, y is between x and y
% 0.58/0.64 % Version : [Qua89] axioms.
% 0.58/0.64 % English :
% 0.58/0.64
% 0.58/0.64 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.58/0.64 % : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.58/0.64 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.58/0.64 % Source : [TPTP]
% 0.58/0.64 % Names :
% 0.58/0.64
% 0.58/0.64 % Status : Unsatisfiable
% 0.58/0.64 % Rating : 0.15 v8.2.0, 0.14 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.24 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.15 v5.3.0, 0.22 v5.2.0, 0.19 v5.1.0, 0.24 v5.0.0, 0.14 v4.1.0, 0.15 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, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.08 v2.4.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.58/0.64 % Syntax : Number of clauses : 19 ( 7 unt; 5 nHn; 16 RR)
% 0.58/0.64 % Number of literals : 57 ( 7 equ; 35 neg)
% 0.58/0.64 % Maximal clause size : 8 ( 3 avg)
% 0.58/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.58/0.64 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.58/0.64 % Number of functors : 10 ( 10 usr; 5 con; 0-6 aty)
% 0.58/0.64 % Number of variables : 71 ( 3 sgn)
% 0.58/0.64 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.58/0.64
% 0.58/0.64 % Comments :
% 0.58/0.64 %--------------------------------------------------------------------------
% 0.58/0.64 %----Include Tarski geometry axioms
% 0.58/0.64 include('Axioms/GEO002-0.ax').
% 0.58/0.64 %--------------------------------------------------------------------------
% 0.58/0.64 cnf(prove_b_between_a_and_b,negated_conjecture,
% 0.58/0.64 ~ between(a,b,b) ).
% 0.58/0.64
% 0.58/0.64 %--------------------------------------------------------------------------
% 0.58/0.64 %-------------------------------------------
% 0.58/0.64 % Proof found
% 0.58/0.64 % SZS status Theorem for theBenchmark
% 0.58/0.64 % SZS output start Proof
% 0.58/0.64 %ClaNum:54(EqnAxiom:35)
% 0.58/0.64 %VarNum:211(SingletonVarNum:71)
% 0.58/0.64 %MaxLitNum:8
% 0.58/0.64 %MaxfuncDepth:1
% 0.58/0.64 %SharedTerms:9
% 0.58/0.64 %goalClause: 42
% 0.58/0.64 %singleGoalClaCount:1
% 0.58/0.64 [39]~P2(a7,a9,a10)
% 0.58/0.64 [40]~P2(a9,a10,a7)
% 0.58/0.64 [41]~P2(a10,a7,a9)
% 0.58/0.64 [42]~P2(a2,a3,a3)
% 0.58/0.64 [36]P1(x361,x362,x362,x361)
% 0.58/0.64 [37]P2(x371,x372,f1(x371,x372,x373,x374))
% 0.58/0.64 [38]P1(x381,f1(x382,x381,x383,x384),x383,x384)
% 0.58/0.64 [43]~P2(x431,x432,x431)+E(x431,x432)
% 0.58/0.64 [44]~P1(x441,x442,x443,x443)+E(x441,x442)
% 0.58/0.64 [48]~P2(x485,x481,x484)+~P2(x482,x483,x484)+P2(x481,f8(x482,x483,x484,x481,x485),x482)
% 0.58/0.64 [49]~P2(x495,x494,x493)+~P2(x492,x491,x493)+P2(x491,f8(x492,x491,x493,x494,x495),x495)
% 0.58/0.64 [45]~P1(x455,x456,x451,x452)+P1(x451,x452,x453,x454)+~P1(x455,x456,x453,x454)
% 0.58/0.64 [50]~P2(x504,x502,x503)+~P2(x501,x502,x505)+E(x501,x502)+P2(x501,x503,f4(x501,x504,x502,x503,x505))
% 0.58/0.64 [51]~P2(x513,x512,x514)+~P2(x511,x512,x515)+E(x511,x512)+P2(x511,x513,f5(x511,x513,x512,x514,x515))
% 0.58/0.64 [52]~P2(x523,x522,x524)+~P2(x521,x522,x525)+E(x521,x522)+P2(f5(x521,x523,x522,x524,x525),x525,f4(x521,x523,x522,x524,x525))
% 0.58/0.64 [53]~P2(x533,x534,x535)+~P2(x532,x533,x535)+~P1(x532,x535,x532,x536)+~P1(x532,x533,x532,x531)+P2(x531,f6(x532,x533,x531,x534,x535,x536),x536)
% 0.58/0.64 [54]~P2(x543,x542,x545)+~P2(x541,x543,x545)+~P1(x541,x545,x541,x546)+~P1(x541,x543,x541,x544)+P1(x541,x542,x541,f6(x541,x543,x544,x542,x545,x546))
% 0.58/0.64 [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)
% 0.58/0.64 [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)
% 0.58/0.64 %EqnAxiom
% 0.58/0.64 [1]E(x11,x11)
% 0.58/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.58/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.58/0.64 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.58/0.64 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.58/0.64 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.58/0.64 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.58/0.64 [8]~E(x81,x82)+E(f6(x81,x83,x84,x85,x86,x87),f6(x82,x83,x84,x85,x86,x87))
% 0.58/0.64 [9]~E(x91,x92)+E(f6(x93,x91,x94,x95,x96,x97),f6(x93,x92,x94,x95,x96,x97))
% 0.58/0.64 [10]~E(x101,x102)+E(f6(x103,x104,x101,x105,x106,x107),f6(x103,x104,x102,x105,x106,x107))
% 0.58/0.64 [11]~E(x111,x112)+E(f6(x113,x114,x115,x111,x116,x117),f6(x113,x114,x115,x112,x116,x117))
% 0.58/0.64 [12]~E(x121,x122)+E(f6(x123,x124,x125,x126,x121,x127),f6(x123,x124,x125,x126,x122,x127))
% 0.58/0.64 [13]~E(x131,x132)+E(f6(x133,x134,x135,x136,x137,x131),f6(x133,x134,x135,x136,x137,x132))
% 0.58/0.64 [14]~E(x141,x142)+E(f8(x141,x143,x144,x145,x146),f8(x142,x143,x144,x145,x146))
% 0.58/0.64 [15]~E(x151,x152)+E(f8(x153,x151,x154,x155,x156),f8(x153,x152,x154,x155,x156))
% 0.58/0.64 [16]~E(x161,x162)+E(f8(x163,x164,x161,x165,x166),f8(x163,x164,x162,x165,x166))
% 0.58/0.64 [17]~E(x171,x172)+E(f8(x173,x174,x175,x171,x176),f8(x173,x174,x175,x172,x176))
% 0.58/0.64 [18]~E(x181,x182)+E(f8(x183,x184,x185,x186,x181),f8(x183,x184,x185,x186,x182))
% 0.58/0.64 [19]~E(x191,x192)+E(f4(x191,x193,x194,x195,x196),f4(x192,x193,x194,x195,x196))
% 0.58/0.64 [20]~E(x201,x202)+E(f4(x203,x201,x204,x205,x206),f4(x203,x202,x204,x205,x206))
% 0.58/0.64 [21]~E(x211,x212)+E(f4(x213,x214,x211,x215,x216),f4(x213,x214,x212,x215,x216))
% 0.58/0.64 [22]~E(x221,x222)+E(f4(x223,x224,x225,x221,x226),f4(x223,x224,x225,x222,x226))
% 0.58/0.64 [23]~E(x231,x232)+E(f4(x233,x234,x235,x236,x231),f4(x233,x234,x235,x236,x232))
% 0.58/0.64 [24]~E(x241,x242)+E(f5(x241,x243,x244,x245,x246),f5(x242,x243,x244,x245,x246))
% 0.58/0.64 [25]~E(x251,x252)+E(f5(x253,x251,x254,x255,x256),f5(x253,x252,x254,x255,x256))
% 0.58/0.64 [26]~E(x261,x262)+E(f5(x263,x264,x261,x265,x266),f5(x263,x264,x262,x265,x266))
% 0.58/0.64 [27]~E(x271,x272)+E(f5(x273,x274,x275,x271,x276),f5(x273,x274,x275,x272,x276))
% 0.58/0.64 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x281),f5(x283,x284,x285,x286,x282))
% 0.58/0.64 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.58/0.64 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.58/0.64 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.58/0.64 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.58/0.64 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.58/0.64 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.58/0.64 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.58/0.64
% 0.58/0.64 %-------------------------------------------
% 0.58/0.65 cnf(58,plain,
% 0.58/0.65 (P2(x581,x582,f1(x581,x582,x583,x584))),
% 0.58/0.65 inference(rename_variables,[],[37])).
% 0.58/0.65 cnf(61,plain,
% 0.58/0.65 (~P1(f1(a2,a3,x611,x612),a3,x613,x613)),
% 0.58/0.65 inference(scs_inference,[],[42,36,37,45,35,43,44])).
% 0.58/0.65 cnf(63,plain,
% 0.58/0.65 (~E(a2,f1(a2,a3,x631,x632))),
% 0.58/0.65 inference(scs_inference,[],[42,36,37,58,45,35,43,44,33])).
% 0.58/0.65 cnf(64,plain,
% 0.58/0.65 (P2(x641,x642,f1(x641,x642,x643,x644))),
% 0.58/0.65 inference(rename_variables,[],[37])).
% 0.58/0.65 cnf(66,plain,
% 0.58/0.65 (~E(a3,f1(a2,a3,x661,x662))),
% 0.58/0.65 inference(scs_inference,[],[42,36,37,58,64,45,35,43,44,33,34,29])).
% 0.58/0.65 cnf(83,plain,
% 0.58/0.65 (~E(f1(x831,f1(a2,a3,x832,x833),x834,x834),a3)),
% 0.58/0.65 inference(scs_inference,[],[63,61,38,43,44,30])).
% 0.58/0.65 cnf(84,plain,
% 0.58/0.65 (P1(x841,f1(x842,x841,x843,x844),x843,x844)),
% 0.58/0.65 inference(rename_variables,[],[38])).
% 0.58/0.65 cnf(85,plain,
% 0.58/0.65 (~E(a3,a2)),
% 0.58/0.65 inference(scs_inference,[],[63,61,38,84,43,44,30,29])).
% 0.58/0.65 cnf(97,plain,
% 0.58/0.65 (~P1(f1(x971,f1(a2,a3,x972,x973),x974,x974),a3,x975,x975)),
% 0.58/0.65 inference(scs_inference,[],[83,66,43,44])).
% 0.58/0.65 cnf(114,plain,
% 0.58/0.65 (~E(a3,f1(x1141,f1(a2,a3,x1142,x1143),x1144,x1144))),
% 0.58/0.65 inference(scs_inference,[],[36,85,97,44,43,31])).
% 0.58/0.65 cnf(149,plain,
% 0.58/0.65 ($false),
% 0.58/0.65 inference(scs_inference,[],[36,38,114,61,43,44,45]),
% 0.58/0.65 ['proof']).
% 0.58/0.65 % SZS output end Proof
% 0.58/0.65 % Total time :0.040000s
%------------------------------------------------------------------------------