%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO056-2 : 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 : n017.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 06:03:33 EDT 2024
% Result : Unsatisfiable 0.62s 0.74s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO056-2 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n017.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 06:18:24 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.43/0.64 start to proof:theBenchmark
% 0.62/0.73 %-------------------------------------------
% 0.62/0.73 % File :CSE---1.7
% 0.62/0.73 % Problem :theBenchmark
% 0.62/0.73 % Transform :cnf
% 0.62/0.73 % Format :tptp:raw
% 0.62/0.73 % Command :java -jar mcs_scs.jar %d %s
% 0.62/0.73
% 0.62/0.73 % Result :Theorem 0.050000s
% 0.62/0.73 % Output :CNFRefutation 0.050000s
% 0.62/0.73 %-------------------------------------------
% 0.62/0.74 %--------------------------------------------------------------------------
% 0.62/0.74 % File : GEO056-2 : TPTP v8.2.0. Released v1.0.0.
% 0.62/0.74 % Domain : Geometry
% 0.62/0.74 % Problem : Corollary 1 to null extension
% 0.62/0.74 % Version : [Qua89] axioms.
% 0.62/0.74 % English :
% 0.62/0.74
% 0.62/0.74 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 0.62/0.74 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 0.62/0.74 % Source : [TPTP]
% 0.62/0.74 % Names :
% 0.62/0.74
% 0.62/0.74 % Status : Unsatisfiable
% 0.62/0.74 % Rating : 0.05 v8.1.0, 0.00 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.15 v5.4.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.12 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
% 0.62/0.74 % Syntax : Number of clauses : 21 ( 9 unt; 5 nHn; 17 RR)
% 0.62/0.74 % Number of literals : 59 ( 10 equ; 35 neg)
% 0.62/0.74 % Maximal clause size : 8 ( 2 avg)
% 0.62/0.74 % Maximal term depth : 2 ( 1 avg)
% 0.62/0.74 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 0.62/0.74 % Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% 0.62/0.74 % Number of variables : 73 ( 3 sgn)
% 0.62/0.74 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.62/0.74
% 0.62/0.74 % Comments : Proving corollaries from axioms is not usual.
% 0.62/0.74 %--------------------------------------------------------------------------
% 0.62/0.74 %----Include Tarski geometry axioms
% 0.62/0.74 include('Axioms/GEO002-0.ax').
% 0.62/0.74 %----Include definition of reflection
% 0.62/0.74 include('Axioms/GEO002-2.ax').
% 0.62/0.74 %--------------------------------------------------------------------------
% 0.62/0.74 cnf(u_equals_v,hypothesis,
% 0.62/0.74 u = v ).
% 0.62/0.74
% 0.62/0.74 cnf(prove_v_equals_reflection,negated_conjecture,
% 0.62/0.74 v != reflection(u,v) ).
% 0.62/0.74
% 0.62/0.74 %--------------------------------------------------------------------------
% 0.62/0.74 %-------------------------------------------
% 0.62/0.74 % Proof found
% 0.62/0.74 % SZS status Theorem for theBenchmark
% 0.62/0.74 % SZS output start Proof
% 0.62/0.75 %ClaNum:55(EqnAxiom:35)
% 0.62/0.75 %VarNum:211(SingletonVarNum:71)
% 0.62/0.75 %MaxLitNum:8
% 0.62/0.75 %MaxfuncDepth:1
% 0.62/0.75 %SharedTerms:11
% 0.62/0.75 %goalClause: 43
% 0.62/0.75 %singleGoalClaCount:1
% 0.62/0.75 [36]E(a1,a2)
% 0.62/0.75 [40]~P2(a7,a9,a10)
% 0.62/0.75 [41]~P2(a9,a10,a7)
% 0.62/0.75 [42]~P2(a10,a7,a9)
% 0.62/0.75 [43]~E(f3(a2,a1,a2,a1),a1)
% 0.62/0.75 [37]P1(x371,x372,x372,x371)
% 0.62/0.75 [38]P2(x381,x382,f3(x381,x382,x383,x384))
% 0.62/0.75 [39]P1(x391,f3(x392,x391,x393,x394),x393,x394)
% 0.62/0.75 [44]~P2(x441,x442,x441)+E(x441,x442)
% 0.62/0.75 [45]~P1(x451,x452,x453,x453)+E(x451,x452)
% 0.62/0.75 [49]~P2(x495,x491,x494)+~P2(x492,x493,x494)+P2(x491,f8(x492,x493,x494,x491,x495),x492)
% 0.62/0.75 [50]~P2(x505,x504,x503)+~P2(x502,x501,x503)+P2(x501,f8(x502,x501,x503,x504,x505),x505)
% 0.62/0.75 [46]~P1(x465,x466,x461,x462)+P1(x461,x462,x463,x464)+~P1(x465,x466,x463,x464)
% 0.62/0.75 [51]~P2(x514,x512,x513)+~P2(x511,x512,x515)+E(x511,x512)+P2(x511,x513,f4(x511,x514,x512,x513,x515))
% 0.62/0.75 [52]~P2(x523,x522,x524)+~P2(x521,x522,x525)+E(x521,x522)+P2(x521,x523,f5(x521,x523,x522,x524,x525))
% 0.62/0.75 [53]~P2(x533,x532,x534)+~P2(x531,x532,x535)+E(x531,x532)+P2(f5(x531,x533,x532,x534,x535),x535,f4(x531,x533,x532,x534,x535))
% 0.62/0.75 [54]~P2(x543,x544,x545)+~P2(x542,x543,x545)+~P1(x542,x545,x542,x546)+~P1(x542,x543,x542,x541)+P2(x541,f6(x542,x543,x541,x544,x545,x546),x546)
% 0.62/0.75 [55]~P2(x553,x552,x555)+~P2(x551,x553,x555)+~P1(x551,x555,x551,x556)+~P1(x551,x553,x551,x554)+P1(x551,x552,x551,f6(x551,x553,x554,x552,x555,x556))
% 0.62/0.75 [47]P2(x475,x473,x474)+P2(x474,x475,x473)+~P1(x473,x471,x473,x472)+~P1(x475,x471,x475,x472)+~P1(x474,x471,x474,x472)+E(x471,x472)+P2(x473,x474,x475)
% 0.62/0.75 [48]~P2(x481,x482,x483)+~P1(x482,x484,x488,x486)+~P1(x482,x483,x488,x485)+~P1(x481,x484,x487,x486)+~P1(x481,x482,x487,x488)+E(x481,x482)+P1(x483,x484,x485,x486)+~P2(x487,x488,x485)
% 0.62/0.75 %EqnAxiom
% 0.62/0.75 [1]E(x11,x11)
% 0.62/0.75 [2]E(x22,x21)+~E(x21,x22)
% 0.62/0.75 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.62/0.75 [4]~E(x41,x42)+E(f3(x41,x43,x44,x45),f3(x42,x43,x44,x45))
% 0.62/0.75 [5]~E(x51,x52)+E(f3(x53,x51,x54,x55),f3(x53,x52,x54,x55))
% 0.62/0.75 [6]~E(x61,x62)+E(f3(x63,x64,x61,x65),f3(x63,x64,x62,x65))
% 0.62/0.75 [7]~E(x71,x72)+E(f3(x73,x74,x75,x71),f3(x73,x74,x75,x72))
% 0.62/0.75 [8]~E(x81,x82)+E(f6(x81,x83,x84,x85,x86,x87),f6(x82,x83,x84,x85,x86,x87))
% 0.62/0.75 [9]~E(x91,x92)+E(f6(x93,x91,x94,x95,x96,x97),f6(x93,x92,x94,x95,x96,x97))
% 0.62/0.75 [10]~E(x101,x102)+E(f6(x103,x104,x101,x105,x106,x107),f6(x103,x104,x102,x105,x106,x107))
% 0.62/0.75 [11]~E(x111,x112)+E(f6(x113,x114,x115,x111,x116,x117),f6(x113,x114,x115,x112,x116,x117))
% 0.62/0.75 [12]~E(x121,x122)+E(f6(x123,x124,x125,x126,x121,x127),f6(x123,x124,x125,x126,x122,x127))
% 0.62/0.75 [13]~E(x131,x132)+E(f6(x133,x134,x135,x136,x137,x131),f6(x133,x134,x135,x136,x137,x132))
% 0.62/0.75 [14]~E(x141,x142)+E(f4(x141,x143,x144,x145,x146),f4(x142,x143,x144,x145,x146))
% 0.62/0.75 [15]~E(x151,x152)+E(f4(x153,x151,x154,x155,x156),f4(x153,x152,x154,x155,x156))
% 0.62/0.75 [16]~E(x161,x162)+E(f4(x163,x164,x161,x165,x166),f4(x163,x164,x162,x165,x166))
% 0.62/0.75 [17]~E(x171,x172)+E(f4(x173,x174,x175,x171,x176),f4(x173,x174,x175,x172,x176))
% 0.62/0.75 [18]~E(x181,x182)+E(f4(x183,x184,x185,x186,x181),f4(x183,x184,x185,x186,x182))
% 0.62/0.75 [19]~E(x191,x192)+E(f8(x191,x193,x194,x195,x196),f8(x192,x193,x194,x195,x196))
% 0.62/0.75 [20]~E(x201,x202)+E(f8(x203,x201,x204,x205,x206),f8(x203,x202,x204,x205,x206))
% 0.62/0.75 [21]~E(x211,x212)+E(f8(x213,x214,x211,x215,x216),f8(x213,x214,x212,x215,x216))
% 0.62/0.75 [22]~E(x221,x222)+E(f8(x223,x224,x225,x221,x226),f8(x223,x224,x225,x222,x226))
% 0.62/0.75 [23]~E(x231,x232)+E(f8(x233,x234,x235,x236,x231),f8(x233,x234,x235,x236,x232))
% 0.62/0.75 [24]~E(x241,x242)+E(f5(x241,x243,x244,x245,x246),f5(x242,x243,x244,x245,x246))
% 0.62/0.75 [25]~E(x251,x252)+E(f5(x253,x251,x254,x255,x256),f5(x253,x252,x254,x255,x256))
% 0.62/0.75 [26]~E(x261,x262)+E(f5(x263,x264,x261,x265,x266),f5(x263,x264,x262,x265,x266))
% 0.62/0.75 [27]~E(x271,x272)+E(f5(x273,x274,x275,x271,x276),f5(x273,x274,x275,x272,x276))
% 0.62/0.75 [28]~E(x281,x282)+E(f5(x283,x284,x285,x286,x281),f5(x283,x284,x285,x286,x282))
% 0.62/0.75 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 0.62/0.75 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 0.62/0.75 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 0.62/0.75 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 0.62/0.75 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 0.62/0.75 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 0.62/0.75 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 0.62/0.75
% 0.62/0.75 %-------------------------------------------
% 0.62/0.75 cnf(56,plain,
% 0.62/0.75 (~P2(f3(a2,a1,a2,a1),a1,f3(a2,a1,a2,a1))),
% 0.62/0.75 inference(scs_inference,[],[43,44])).
% 0.62/0.75 cnf(58,plain,
% 0.62/0.75 (~P1(f3(a2,a1,a2,a1),a1,x581,x581)),
% 0.62/0.75 inference(scs_inference,[],[43,44,45])).
% 0.62/0.75 cnf(60,plain,
% 0.62/0.75 (E(a2,a1)),
% 0.62/0.75 inference(scs_inference,[],[43,36,44,45,2])).
% 0.62/0.75 cnf(61,plain,
% 0.62/0.75 (~E(f3(a2,a1,a2,a1),a2)),
% 0.62/0.75 inference(scs_inference,[],[43,36,44,45,2,3])).
% 0.62/0.75 cnf(62,plain,
% 0.62/0.75 (P1(x621,x622,x621,x622)),
% 0.62/0.75 inference(scs_inference,[],[43,37,36,44,45,2,3,46])).
% 0.62/0.75 cnf(65,plain,
% 0.62/0.75 (P1(x651,x652,x652,x651)),
% 0.62/0.75 inference(rename_variables,[],[37])).
% 0.62/0.75 cnf(67,plain,
% 0.62/0.75 (P1(x671,x672,x672,x671)),
% 0.62/0.75 inference(rename_variables,[],[37])).
% 0.62/0.75 cnf(68,plain,
% 0.62/0.75 (P1(x681,a1,a2,x681)),
% 0.62/0.75 inference(scs_inference,[],[43,37,65,67,36,44,45,2,3,46,29,30,31])).
% 0.62/0.75 cnf(70,plain,
% 0.62/0.75 (P1(x701,f3(x702,x701,x703,a1),x703,a2)),
% 0.62/0.75 inference(scs_inference,[],[43,37,65,67,39,36,44,45,2,3,46,29,30,31,32])).
% 0.62/0.75 cnf(72,plain,
% 0.62/0.75 (~E(a2,f3(a2,a1,a2,a1))),
% 0.62/0.75 inference(scs_inference,[],[43,37,65,67,39,38,36,44,45,2,3,46,29,30,31,32,33])).
% 0.62/0.75 cnf(73,plain,
% 0.62/0.75 (P2(x731,x732,f3(x731,x732,x733,x734))),
% 0.62/0.75 inference(rename_variables,[],[38])).
% 0.62/0.75 cnf(74,plain,
% 0.62/0.75 (P2(x741,a2,f3(x741,a1,x742,x743))),
% 0.62/0.75 inference(scs_inference,[],[43,37,65,67,39,38,73,36,44,45,2,3,46,29,30,31,32,33,34])).
% 0.62/0.75 cnf(75,plain,
% 0.62/0.75 (P2(x751,x752,f3(x751,x752,x753,x754))),
% 0.62/0.75 inference(rename_variables,[],[38])).
% 0.62/0.75 cnf(76,plain,
% 0.62/0.75 (~E(f3(a7,a9,x761,x762),a10)),
% 0.62/0.75 inference(scs_inference,[],[43,37,65,67,39,38,73,75,36,40,44,45,2,3,46,29,30,31,32,33,34,35])).
% 0.62/0.75 cnf(81,plain,
% 0.76/0.75 (~P2(f3(a7,a9,x811,x812),a10,f3(a7,a9,x811,x812))),
% 0.76/0.75 inference(scs_inference,[],[76,44])).
% 0.76/0.76 cnf(83,plain,
% 0.76/0.76 (~P1(f3(a7,a9,x831,x832),a10,x833,x833)),
% 0.76/0.76 inference(scs_inference,[],[76,44,45])).
% 0.76/0.76 cnf(85,plain,
% 0.76/0.76 (P1(x851,f3(x852,x851,a2,a1),a1,a2)),
% 0.76/0.76 inference(scs_inference,[],[60,70,76,44,45,31])).
% 0.76/0.76 cnf(86,plain,
% 0.76/0.76 (P1(x861,f3(x862,x861,x863,a1),x863,a2)),
% 0.76/0.76 inference(rename_variables,[],[70])).
% 0.76/0.76 cnf(88,plain,
% 0.76/0.76 (P1(x881,f3(x882,x881,x883,a1),x883,a2)),
% 0.76/0.76 inference(rename_variables,[],[70])).
% 0.76/0.76 cnf(90,plain,
% 0.76/0.76 (P1(a1,f3(x901,a2,x902,a1),x902,a2)),
% 0.76/0.76 inference(scs_inference,[],[58,60,70,86,88,76,44,45,31,30,29])).
% 0.76/0.76 cnf(92,plain,
% 0.76/0.76 (~E(f3(f3(a2,a1,a2,a1),a1,x921,x922),f3(a2,a1,a2,a1))),
% 0.76/0.76 inference(scs_inference,[],[56,58,60,70,86,88,76,38,44,45,31,30,29,35])).
% 0.76/0.76 cnf(93,plain,
% 0.76/0.76 (P2(x931,x932,f3(x931,x932,x933,x934))),
% 0.76/0.76 inference(rename_variables,[],[38])).
% 0.76/0.76 cnf(94,plain,
% 0.76/0.76 (P2(a1,a2,f3(a2,a1,x941,x942))),
% 0.76/0.76 inference(scs_inference,[],[56,58,60,70,86,88,74,76,38,44,45,31,30,29,35,33])).
% 0.76/0.76 cnf(96,plain,
% 0.76/0.76 (P2(x961,a1,f3(x961,a2,x962,x963))),
% 0.76/0.76 inference(scs_inference,[],[56,58,60,70,86,88,74,76,38,93,44,45,31,30,29,35,33,34])).
% 0.76/0.76 cnf(109,plain,
% 0.76/0.76 (P1(a2,x1091,x1091,a1)),
% 0.76/0.76 inference(scs_inference,[],[61,68,62,44,45,46])).
% 0.76/0.76 cnf(110,plain,
% 0.76/0.76 (P1(x1101,x1102,x1101,x1102)),
% 0.76/0.76 inference(rename_variables,[],[62])).
% 0.76/0.76 cnf(116,plain,
% 0.76/0.76 (~P1(f3(a7,a9,x1161,x1162),a10,x1163,x1163)),
% 0.76/0.76 inference(rename_variables,[],[83])).
% 0.76/0.76 cnf(121,plain,
% 0.76/0.76 (P2(x1211,a1,f3(x1211,a2,x1212,x1213))),
% 0.76/0.76 inference(rename_variables,[],[96])).
% 0.76/0.76 cnf(122,plain,
% 0.76/0.76 (~E(f3(f3(a2,a1,a2,a1),a2,x1221,x1222),f3(a2,a1,a2,a1))),
% 0.76/0.76 inference(scs_inference,[],[56,83,116,60,61,96,121,68,90,94,62,110,39,44,45,46,31,29,34,30,33,35])).
% 0.76/0.76 cnf(124,plain,
% 0.76/0.76 (P1(x1241,f3(x1242,x1241,a2,a1),a1,a1)),
% 0.76/0.76 inference(scs_inference,[],[56,83,116,60,61,96,121,68,85,90,94,62,110,39,44,45,46,31,29,34,30,33,35,32])).
% 0.76/0.76 cnf(135,plain,
% 0.76/0.76 (P1(f3(x1351,a2,a2,a1),a1,a1,a1)),
% 0.76/0.76 inference(scs_inference,[],[92,72,109,124,44,45,46])).
% 0.76/0.76 cnf(136,plain,
% 0.76/0.76 (P1(x1361,f3(x1362,x1361,a2,a1),a1,a1)),
% 0.76/0.76 inference(rename_variables,[],[124])).
% 0.76/0.76 cnf(139,plain,
% 0.76/0.76 (~E(a1,f3(f3(a2,a1,a2,a1),a1,x1391,x1392))),
% 0.76/0.76 inference(scs_inference,[],[92,72,109,124,136,44,45,46,29])).
% 0.76/0.76 cnf(141,plain,
% 0.76/0.76 (P1(x1411,f3(x1412,x1411,a2,x1413),a1,x1413)),
% 0.76/0.76 inference(scs_inference,[],[60,92,72,109,124,136,39,44,45,46,29,31])).
% 0.76/0.76 cnf(163,plain,
% 0.76/0.76 (P1(x1631,f3(x1632,x1631,a2,x1633),a1,x1633)),
% 0.76/0.76 inference(rename_variables,[],[141])).
% 0.76/0.76 cnf(173,plain,
% 0.76/0.76 ($false),
% 0.76/0.76 inference(scs_inference,[],[81,60,58,36,38,122,141,163,139,135,70,44,45,46,31,29,30,32,35,5]),
% 0.76/0.76 ['proof']).
% 0.76/0.76 % SZS output end Proof
% 0.76/0.76 % Total time :0.050000s
%------------------------------------------------------------------------------