%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO003-1 : TPTP v8.2.0. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 0.56s 0.72s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO003-1 : TPTP v8.2.0. Bugfixed v2.5.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n022.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 : Fri Jun 21 06:27:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.51/0.60 start to proof:theBenchmark
% 0.56/0.71 %-------------------------------------------
% 0.56/0.71 % File :CSE---1.7
% 0.56/0.71 % Problem :theBenchmark
% 0.56/0.71 % Transform :cnf
% 0.56/0.71 % Format :tptp:raw
% 0.56/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.71
% 0.56/0.71 % Result :Theorem 0.070000s
% 0.56/0.71 % Output :CNFRefutation 0.070000s
% 0.56/0.71 %-------------------------------------------
% 0.56/0.72 %--------------------------------------------------------------------------
% 0.56/0.72 % File : GEO003-1 : TPTP v8.2.0. Bugfixed v2.5.0.
% 0.56/0.72 % Domain : Geometry
% 0.56/0.72 % Problem : For all points x and y, y is between x and y
% 0.56/0.72 % Version : [MOW76] axioms.
% 0.56/0.72 % English :
% 0.56/0.72
% 0.56/0.72 % Refs : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.56/0.72 % : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.56/0.72 % Source : [ANL]
% 0.56/0.72 % Names : T3 [MOW76]
% 0.56/0.72 % : t3.ver1.in [ANL]
% 0.56/0.72
% 0.56/0.72 % Status : Unsatisfiable
% 0.56/0.72 % Rating : 0.15 v8.2.0, 0.19 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 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.3.0, 0.17 v5.2.0, 0.12 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, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0
% 0.56/0.72 % Syntax : Number of clauses : 21 ( 7 unt; 6 nHn; 18 RR)
% 0.56/0.72 % Number of literals : 65 ( 8 equ; 39 neg)
% 0.56/0.72 % Maximal clause size : 8 ( 3 avg)
% 0.56/0.72 % Maximal term depth : 2 ( 1 avg)
% 0.56/0.72 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.56/0.72 % Number of functors : 10 ( 10 usr; 5 con; 0-6 aty)
% 0.56/0.72 % Number of variables : 79 ( 3 sgn)
% 0.56/0.72 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.56/0.72
% 0.56/0.72 % Comments :
% 0.56/0.72 % Bugfixes : v1.0.1 - Bug in GEO001-0.eq fixed.
% 0.56/0.72 % : v2.5.0 - Bug in GEO001-0.ax fixed.
% 0.56/0.72 %--------------------------------------------------------------------------
% 0.56/0.72 %----Include Tarski geometry axioms
% 0.56/0.72 include('Axioms/GEO001-0.ax').
% 0.56/0.72 %--------------------------------------------------------------------------
% 0.56/0.72 cnf(prove_b_between_a_and_b,negated_conjecture,
% 0.56/0.72 ~ between(a,b,b) ).
% 0.56/0.72
% 0.56/0.72 %--------------------------------------------------------------------------
% 0.56/0.72 %-------------------------------------------
% 0.56/0.72 % Proof found
% 0.56/0.72 % SZS status Theorem for theBenchmark
% 0.56/0.72 % SZS output start Proof
% 0.56/0.72 %ClaNum:56(EqnAxiom:35)
% 0.56/0.72 %VarNum:234(SingletonVarNum:79)
% 0.56/0.72 %MaxLitNum:8
% 0.56/0.72 %MaxfuncDepth:1
% 0.56/0.72 %SharedTerms:9
% 0.56/0.72 %goalClause: 42
% 0.56/0.72 %singleGoalClaCount:1
% 0.56/0.72 [39]~P2(a7,a8,a9)
% 0.56/0.72 [40]~P2(a8,a9,a7)
% 0.56/0.72 [41]~P2(a9,a7,a8)
% 0.56/0.72 [42]~P2(a2,a3,a3)
% 0.56/0.72 [36]P1(x361,x362,x362,x361)
% 0.56/0.72 [37]P2(x371,x372,f1(x371,x372,x373,x374))
% 0.56/0.72 [38]P1(x381,f1(x382,x381,x383,x384),x383,x384)
% 0.56/0.72 [43]~P2(x431,x432,x431)+E(x431,x432)
% 0.56/0.72 [46]~P1(x461,x462,x463,x463)+E(x461,x462)
% 0.56/0.72 [44]~P2(x441,x442,x444)+P2(x441,x442,x443)+~P2(x442,x443,x444)
% 0.56/0.72 [50]~P2(x504,x505,x501)+~P2(x503,x502,x505)+P2(x501,x502,f10(x502,x503,x504,x501,x505))
% 0.56/0.72 [51]~P2(x513,x515,x514)+~P2(x511,x512,x515)+P2(x511,f10(x512,x511,x513,x514,x515),x513)
% 0.56/0.72 [47]~P1(x475,x476,x471,x472)+P1(x471,x472,x473,x474)+~P1(x475,x476,x473,x474)
% 0.56/0.72 [52]~P2(x525,x522,x523)+~P2(x521,x522,x524)+E(x521,x522)+P2(x521,x523,f4(x524,x521,x525,x523,x522))
% 0.56/0.72 [53]~P2(x533,x532,x535)+~P2(x531,x532,x534)+E(x531,x532)+P2(x531,x533,f6(x534,x531,x533,x535,x532))
% 0.56/0.72 [54]~P2(x544,x542,x545)+~P2(x541,x542,x543)+E(x541,x542)+P2(f4(x543,x541,x544,x545,x542),x543,f6(x543,x541,x544,x545,x542))
% 0.56/0.72 [45]P2(x451,x454,x453)+~P2(x451,x452,x453)+~P2(x451,x452,x454)+E(x451,x452)+P2(x451,x453,x454)
% 0.56/0.72 [55]~P2(x552,x553,x554)+~P2(x556,x552,x554)+~P1(x556,x554,x556,x555)+~P1(x556,x552,x556,x551)+P2(x551,f5(x552,x553,x554,x551,x555,x556),x555)
% 0.56/0.72 [56]~P2(x563,x562,x564)+~P2(x561,x563,x564)+~P1(x561,x564,x561,x566)+~P1(x561,x563,x561,x565)+P1(x561,x562,x561,f5(x563,x562,x564,x565,x566,x561))
% 0.56/0.72 [48]P2(x485,x483,x484)+P2(x484,x485,x483)+~P1(x483,x481,x483,x482)+~P1(x485,x481,x485,x482)+~P1(x484,x481,x484,x482)+E(x481,x482)+P2(x483,x484,x485)
% 0.56/0.72 [49]~P2(x491,x492,x493)+~P1(x492,x494,x498,x496)+~P1(x492,x493,x498,x495)+~P1(x491,x494,x497,x496)+~P1(x491,x492,x497,x498)+E(x491,x492)+P1(x493,x494,x495,x496)+~P2(x497,x498,x495)
% 0.56/0.72 %EqnAxiom
% 0.56/0.72 [1]E(x11,x11)
% 0.56/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.56/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/0.72 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.56/0.72 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.56/0.72 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.56/0.72 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.56/0.72 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 0.56/0.72 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 0.56/0.72 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 0.56/0.72 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 0.56/0.72 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 0.56/0.72 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 0.56/0.72 [14]~E(x141,x142)+E(f10(x141,x143,x144,x145,x146),f10(x142,x143,x144,x145,x146))
% 0.56/0.72 [15]~E(x151,x152)+E(f10(x153,x151,x154,x155,x156),f10(x153,x152,x154,x155,x156))
% 0.56/0.72 [16]~E(x161,x162)+E(f10(x163,x164,x161,x165,x166),f10(x163,x164,x162,x165,x166))
% 0.56/0.72 [17]~E(x171,x172)+E(f10(x173,x174,x175,x171,x176),f10(x173,x174,x175,x172,x176))
% 0.56/0.72 [18]~E(x181,x182)+E(f10(x183,x184,x185,x186,x181),f10(x183,x184,x185,x186,x182))
% 0.56/0.72 [19]~E(x191,x192)+E(f6(x191,x193,x194,x195,x196),f6(x192,x193,x194,x195,x196))
% 0.56/0.72 [20]~E(x201,x202)+E(f6(x203,x201,x204,x205,x206),f6(x203,x202,x204,x205,x206))
% 0.56/0.72 [21]~E(x211,x212)+E(f6(x213,x214,x211,x215,x216),f6(x213,x214,x212,x215,x216))
% 0.56/0.72 [22]~E(x221,x222)+E(f6(x223,x224,x225,x221,x226),f6(x223,x224,x225,x222,x226))
% 0.56/0.72 [23]~E(x231,x232)+E(f6(x233,x234,x235,x236,x231),f6(x233,x234,x235,x236,x232))
% 0.56/0.72 [24]~E(x241,x242)+E(f4(x241,x243,x244,x245,x246),f4(x242,x243,x244,x245,x246))
% 0.56/0.72 [25]~E(x251,x252)+E(f4(x253,x251,x254,x255,x256),f4(x253,x252,x254,x255,x256))
% 0.56/0.72 [26]~E(x261,x262)+E(f4(x263,x264,x261,x265,x266),f4(x263,x264,x262,x265,x266))
% 0.56/0.72 [27]~E(x271,x272)+E(f4(x273,x274,x275,x271,x276),f4(x273,x274,x275,x272,x276))
% 0.56/0.72 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x281),f4(x283,x284,x285,x286,x282))
% 0.56/0.72 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.56/0.72 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.56/0.72 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.56/0.72 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.56/0.72 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.56/0.72 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.56/0.72 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.56/0.72
% 0.56/0.72 %-------------------------------------------
% 0.56/0.73 cnf(59,plain,
% 0.56/0.73 (P2(x591,x592,f1(x591,x592,x593,x594))),
% 0.56/0.73 inference(rename_variables,[],[37])).
% 0.56/0.73 cnf(62,plain,
% 0.56/0.73 (P1(x621,x622,x621,x622)),
% 0.56/0.73 inference(scs_inference,[],[42,36,37,44,33,47])).
% 0.56/0.73 cnf(64,plain,
% 0.56/0.73 (~E(f1(a2,a3,x641,x642),a3)),
% 0.56/0.73 inference(scs_inference,[],[42,36,37,59,44,33,47,35])).
% 0.56/0.73 cnf(68,plain,
% 0.56/0.73 (~P1(a3,a2,x681,x681)),
% 0.56/0.73 inference(scs_inference,[],[42,36,37,59,44,33,47,35,43,46])).
% 0.56/0.73 cnf(70,plain,
% 0.56/0.73 (~E(a2,a3)),
% 0.56/0.73 inference(scs_inference,[],[42,36,37,59,44,33,47,35,43,46,29])).
% 0.56/0.73 cnf(85,plain,
% 0.56/0.73 (~P1(f1(a2,a3,x851,x852),a3,x853,x853)),
% 0.56/0.73 inference(scs_inference,[],[64,43,46])).
% 0.56/0.73 cnf(87,plain,
% 0.56/0.73 (~E(a2,f1(a2,a3,x871,x872))),
% 0.56/0.73 inference(scs_inference,[],[64,37,43,46,33])).
% 0.56/0.73 cnf(89,plain,
% 0.56/0.73 (~E(f1(x891,a3,x892,x892),a2)),
% 0.56/0.73 inference(scs_inference,[],[68,64,38,37,43,46,33,30])).
% 0.56/0.73 cnf(100,plain,
% 0.56/0.73 (~P1(a2,f1(a2,a3,x1001,x1002),x1003,x1003)),
% 0.56/0.73 inference(scs_inference,[],[87,43,46])).
% 0.56/0.73 cnf(104,plain,
% 0.56/0.73 (~P1(f1(a2,a3,x1041,x1042),a3,x1043,x1043)),
% 0.56/0.73 inference(rename_variables,[],[85])).
% 0.56/0.73 cnf(105,plain,
% 0.56/0.73 (~E(f1(x1051,f1(a2,a3,x1052,x1053),x1054,x1054),a3)),
% 0.56/0.73 inference(scs_inference,[],[87,36,85,104,38,43,46,31,30])).
% 0.56/0.73 cnf(124,plain,
% 0.56/0.73 (~P1(a2,f1(a2,a3,x1241,x1242),x1243,x1243)),
% 0.56/0.73 inference(rename_variables,[],[100])).
% 0.56/0.73 cnf(125,plain,
% 0.56/0.73 (~E(f1(x1251,a2,x1252,x1252),f1(a2,a3,x1253,x1254))),
% 0.56/0.73 inference(scs_inference,[],[62,70,100,124,38,46,43,29,30])).
% 0.56/0.73 cnf(133,plain,
% 0.56/0.73 (~P1(f1(x1331,a2,x1332,x1332),f1(a2,a3,x1333,x1334),x1335,x1335)),
% 0.56/0.73 inference(scs_inference,[],[125,43,46])).
% 0.56/0.73 cnf(148,plain,
% 0.56/0.73 (~P1(f1(x1481,f1(a2,a3,x1482,x1483),x1484,x1484),a3,x1485,x1485)),
% 0.56/0.73 inference(scs_inference,[],[105,46])).
% 0.56/0.73 cnf(152,plain,
% 0.56/0.73 (~E(f1(a2,a3,x1521,x1522),f1(x1523,a2,x1524,x1524))),
% 0.56/0.73 inference(scs_inference,[],[62,133,105,89,46,43,29])).
% 0.56/0.73 cnf(154,plain,
% 0.56/0.73 (~P1(f1(x1541,a2,x1542,x1542),f1(a2,a3,x1543,x1544),x1545,x1545)),
% 0.56/0.73 inference(rename_variables,[],[133])).
% 0.56/0.73 cnf(155,plain,
% 0.56/0.73 (~E(f1(x1551,f1(x1552,a2,x1553,x1553),x1554,x1554),f1(a2,a3,x1555,x1556))),
% 0.56/0.73 inference(scs_inference,[],[62,133,154,105,89,38,46,43,29,30])).
% 0.56/0.73 cnf(166,plain,
% 0.56/0.73 (~P1(f1(x1661,f1(x1662,a2,x1663,x1663),x1664,x1664),f1(a2,a3,x1665,x1666),x1667,x1667)),
% 0.56/0.73 inference(scs_inference,[],[155,152,43,46])).
% 0.56/0.73 cnf(168,plain,
% 0.56/0.73 (~E(a3,f1(x1681,f1(a2,a3,x1682,x1683),x1684,x1684))),
% 0.56/0.73 inference(scs_inference,[],[36,155,152,148,43,46,31])).
% 0.56/0.73 cnf(179,plain,
% 0.56/0.73 (~P1(a3,f1(x1791,f1(a2,a3,x1792,x1793),x1794,x1794),x1795,x1795)),
% 0.56/0.73 inference(scs_inference,[],[168,46])).
% 0.56/0.73 cnf(183,plain,
% 0.56/0.73 (~E(f1(a2,a3,x1831,x1832),f1(x1833,f1(x1834,a2,x1835,x1835),x1836,x1836))),
% 0.56/0.73 inference(scs_inference,[],[62,166,168,46,43,32])).
% 0.56/0.73 cnf(198,plain,
% 0.56/0.73 (~E(f1(x1981,a3,x1982,x1982),f1(x1983,f1(a2,a3,x1984,x1985),x1986,x1986))),
% 0.56/0.73 inference(scs_inference,[],[183,179,38,43,46,30])).
% 0.56/0.73 cnf(205,plain,
% 0.56/0.73 ($false),
% 0.56/0.73 inference(scs_inference,[],[198,38,46]),
% 0.56/0.73 ['proof']).
% 0.56/0.73 % SZS output end Proof
% 0.56/0.73 % Total time :0.070000s
%------------------------------------------------------------------------------