TSTP Solution File: GEO054-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO054-2 : 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 : n009.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 22:42:40 EDT 2023
% Result : Unsatisfiable 0.51s 0.61s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO054-2 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 19:14:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.49/0.55 start to proof:theBenchmark
% 0.51/0.60 %-------------------------------------------
% 0.51/0.60 % File :CSE---1.6
% 0.51/0.60 % Problem :theBenchmark
% 0.51/0.60 % Transform :cnf
% 0.51/0.60 % Format :tptp:raw
% 0.51/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.60
% 0.51/0.60 % Result :Theorem 0.000000s
% 0.51/0.60 % Output :CNFRefutation 0.000000s
% 0.51/0.60 %-------------------------------------------
% 0.51/0.60 %--------------------------------------------------------------------------
% 0.51/0.60 % File : GEO054-2 : TPTP v8.1.2. Released v1.0.0.
% 0.51/0.60 % Domain : Geometry
% 0.51/0.60 % Problem : Corollary 2 to the segment construction axiom
% 0.51/0.60 % Version : [Qua89] axioms.
% 0.51/0.60 % English :
% 0.51/0.60
% 0.51/0.61 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.51/0.61 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.51/0.61 % Source : [TPTP]
% 0.51/0.61 % Names :
% 0.51/0.61
% 0.51/0.61 % Status : Unsatisfiable
% 0.51/0.61 % Rating : 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.05 v5.3.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.09 v3.7.0, 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 v2.5.0, 0.08 v2.4.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.51/0.61 % Syntax : Number of clauses : 20 ( 8 unt; 5 nHn; 16 RR)
% 0.51/0.61 % Number of literals : 58 ( 8 equ; 35 neg)
% 0.51/0.61 % Maximal clause size : 8 ( 2 avg)
% 0.51/0.61 % Maximal term depth : 2 ( 1 avg)
% 0.51/0.61 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.51/0.61 % Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% 0.51/0.61 % Number of variables : 73 ( 3 sgn)
% 0.51/0.61 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.51/0.61
% 0.51/0.61 % Comments : Proving corollaries from axioms is not usual.
% 0.51/0.61 %--------------------------------------------------------------------------
% 0.51/0.61 %----Include Tarski geometry axioms
% 0.51/0.61 include('Axioms/GEO002-0.ax').
% 0.51/0.61 %----Include definition of reflection
% 0.51/0.61 include('Axioms/GEO002-2.ax').
% 0.51/0.61 %--------------------------------------------------------------------------
% 0.51/0.61 cnf(prove_v_between_u_and_reflection,negated_conjecture,
% 0.51/0.61 ~ between(u,v,reflection(u,v)) ).
% 0.51/0.61
% 0.51/0.61 %--------------------------------------------------------------------------
% 0.51/0.61 %-------------------------------------------
% 0.51/0.61 % Proof found
% 0.51/0.61 % SZS status Theorem for theBenchmark
% 0.51/0.61 % SZS output start Proof
% 0.51/0.61 %ClaNum:54(EqnAxiom:35)
% 0.51/0.61 %VarNum:211(SingletonVarNum:71)
% 0.51/0.61 %MaxLitNum:8
% 0.51/0.61 %MaxfuncDepth:1
% 0.51/0.61 %SharedTerms:10
% 0.51/0.61 %goalClause: 42
% 0.51/0.61 %singleGoalClaCount:1
% 0.51/0.61 [39]~P2(a5,a7,a8)
% 0.51/0.61 [40]~P2(a7,a8,a5)
% 0.51/0.61 [41]~P2(a8,a5,a7)
% 0.51/0.61 [42]~P2(a9,a10,f1(a9,a10,a9,a10))
% 0.51/0.61 [36]P1(x361,x362,x362,x361)
% 0.51/0.61 [37]P2(x371,x372,f1(x371,x372,x373,x374))
% 0.51/0.61 [38]P1(x381,f1(x382,x381,x383,x384),x383,x384)
% 0.51/0.61 [43]~P2(x431,x432,x431)+E(x431,x432)
% 0.51/0.61 [44]~P1(x441,x442,x443,x443)+E(x441,x442)
% 0.51/0.61 [48]~P2(x485,x481,x484)+~P2(x482,x483,x484)+P2(x481,f6(x482,x483,x484,x481,x485),x482)
% 0.51/0.61 [49]~P2(x495,x494,x493)+~P2(x492,x491,x493)+P2(x491,f6(x492,x491,x493,x494,x495),x495)
% 0.51/0.61 [45]~P1(x455,x456,x451,x452)+P1(x451,x452,x453,x454)+~P1(x455,x456,x453,x454)
% 0.51/0.61 [50]~P2(x504,x502,x503)+~P2(x501,x502,x505)+E(x501,x502)+P2(x501,x503,f2(x501,x504,x502,x503,x505))
% 0.51/0.61 [51]~P2(x513,x512,x514)+~P2(x511,x512,x515)+E(x511,x512)+P2(x511,x513,f3(x511,x513,x512,x514,x515))
% 0.51/0.61 [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))
% 0.51/0.61 [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)
% 0.51/0.61 [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))
% 0.51/0.61 [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)
% 0.51/0.61 [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)
% 0.51/0.61 %EqnAxiom
% 0.51/0.61 [1]E(x11,x11)
% 0.51/0.61 [2]E(x22,x21)+~E(x21,x22)
% 0.51/0.61 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.51/0.61 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 0.51/0.61 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 0.51/0.61 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 0.51/0.61 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 0.51/0.61 [8]~E(x81,x82)+E(f4(x81,x83,x84,x85,x86,x87),f4(x82,x83,x84,x85,x86,x87))
% 0.51/0.61 [9]~E(x91,x92)+E(f4(x93,x91,x94,x95,x96,x97),f4(x93,x92,x94,x95,x96,x97))
% 0.51/0.61 [10]~E(x101,x102)+E(f4(x103,x104,x101,x105,x106,x107),f4(x103,x104,x102,x105,x106,x107))
% 0.51/0.61 [11]~E(x111,x112)+E(f4(x113,x114,x115,x111,x116,x117),f4(x113,x114,x115,x112,x116,x117))
% 0.51/0.61 [12]~E(x121,x122)+E(f4(x123,x124,x125,x126,x121,x127),f4(x123,x124,x125,x126,x122,x127))
% 0.51/0.61 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x137,x131),f4(x133,x134,x135,x136,x137,x132))
% 0.51/0.61 [14]~E(x141,x142)+E(f2(x141,x143,x144,x145,x146),f2(x142,x143,x144,x145,x146))
% 0.51/0.61 [15]~E(x151,x152)+E(f2(x153,x151,x154,x155,x156),f2(x153,x152,x154,x155,x156))
% 0.51/0.61 [16]~E(x161,x162)+E(f2(x163,x164,x161,x165,x166),f2(x163,x164,x162,x165,x166))
% 0.51/0.61 [17]~E(x171,x172)+E(f2(x173,x174,x175,x171,x176),f2(x173,x174,x175,x172,x176))
% 0.51/0.61 [18]~E(x181,x182)+E(f2(x183,x184,x185,x186,x181),f2(x183,x184,x185,x186,x182))
% 0.51/0.61 [19]~E(x191,x192)+E(f6(x191,x193,x194,x195,x196),f6(x192,x193,x194,x195,x196))
% 0.51/0.61 [20]~E(x201,x202)+E(f6(x203,x201,x204,x205,x206),f6(x203,x202,x204,x205,x206))
% 0.51/0.61 [21]~E(x211,x212)+E(f6(x213,x214,x211,x215,x216),f6(x213,x214,x212,x215,x216))
% 0.51/0.61 [22]~E(x221,x222)+E(f6(x223,x224,x225,x221,x226),f6(x223,x224,x225,x222,x226))
% 0.51/0.61 [23]~E(x231,x232)+E(f6(x233,x234,x235,x236,x231),f6(x233,x234,x235,x236,x232))
% 0.51/0.61 [24]~E(x241,x242)+E(f3(x241,x243,x244,x245,x246),f3(x242,x243,x244,x245,x246))
% 0.51/0.61 [25]~E(x251,x252)+E(f3(x253,x251,x254,x255,x256),f3(x253,x252,x254,x255,x256))
% 0.51/0.61 [26]~E(x261,x262)+E(f3(x263,x264,x261,x265,x266),f3(x263,x264,x262,x265,x266))
% 0.51/0.61 [27]~E(x271,x272)+E(f3(x273,x274,x275,x271,x276),f3(x273,x274,x275,x272,x276))
% 0.51/0.61 [28]~E(x281,x282)+E(f3(x283,x284,x285,x286,x281),f3(x283,x284,x285,x286,x282))
% 0.51/0.61 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.51/0.61 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.51/0.61 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.51/0.61 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.51/0.61 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.51/0.61 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.51/0.61 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.51/0.61
% 0.51/0.61 %-------------------------------------------
% 0.51/0.61 cnf(55,plain,
% 0.51/0.61 ($false),
% 0.51/0.61 inference(scs_inference,[],[42,37]),
% 0.51/0.61 ['proof']).
% 0.51/0.61 % SZS output end Proof
% 0.51/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------