%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO020-2 : 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 : n018.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 06:03:20 EDT 2024
% Result : Unsatisfiable 58.49s 58.60s
% Output : CNFRefutation 58.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO020-2 : 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
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 21 06:11:09 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 58.49/58.58 %-------------------------------------------
% 58.49/58.58 % File :CSE---1.7
% 58.49/58.58 % Problem :theBenchmark
% 58.49/58.58 % Transform :cnf
% 58.49/58.58 % Format :tptp:raw
% 58.49/58.58 % Command :java -jar mcs_scs.jar %d %s
% 58.49/58.58
% 58.49/58.58 % Result :Theorem 58.000000s
% 58.49/58.58 % Output :CNFRefutation 58.000000s
% 58.49/58.58 %-------------------------------------------
% 58.49/58.59 %--------------------------------------------------------------------------
% 58.49/58.59 % File : GEO020-2 : TPTP v8.2.0. Released v1.0.0.
% 58.49/58.59 % Domain : Geometry
% 58.49/58.59 % Problem : Corollary 4 to symmetries of equidistance
% 58.49/58.59 % Version : [Qua89] axioms.
% 58.49/58.59 % English : Show that if the distance from A to B equals the distance
% 58.49/58.59 % from C to D, then the distance from D to C equals the
% 58.49/58.59 % distance from A to B.
% 58.49/58.59
% 58.49/58.59 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 58.49/58.59 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 58.49/58.59 % Source : [TPTP]
% 58.49/58.59 % Names :
% 58.49/58.59
% 58.49/58.59 % Status : Unsatisfiable
% 58.49/58.59 % Rating : 0.05 v8.1.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.0.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.06 v5.0.0, 0.00 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
% 58.49/58.59 % Syntax : Number of clauses : 20 ( 8 unt; 5 nHn; 17 RR)
% 58.49/58.59 % Number of literals : 58 ( 7 equ; 35 neg)
% 58.49/58.59 % Maximal clause size : 8 ( 2 avg)
% 58.49/58.59 % Maximal term depth : 2 ( 1 avg)
% 58.49/58.59 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 58.49/58.59 % Number of functors : 12 ( 12 usr; 7 con; 0-6 aty)
% 58.49/58.59 % Number of variables : 71 ( 3 sgn)
% 58.49/58.59 % SPC : CNF_UNS_RFO_SEQ_NHN
% 58.49/58.59
% 58.49/58.59 % Comments : Proving corollaries from axioms is not usual.
% 58.49/58.59 %--------------------------------------------------------------------------
% 58.49/58.59 %----Include Tarski geometry axioms
% 58.49/58.59 include('Axioms/GEO002-0.ax').
% 58.49/58.59 %--------------------------------------------------------------------------
% 58.49/58.59 cnf(u_to_v_equals_w_to_x,hypothesis,
% 58.49/58.59 equidistant(u,v,w,x) ).
% 58.49/58.59
% 58.49/58.59 cnf(prove_symmetry,negated_conjecture,
% 58.49/58.59 ~ equidistant(x,w,u,v) ).
% 58.49/58.59
% 58.49/58.59 %--------------------------------------------------------------------------
% 58.49/58.59 %-------------------------------------------
% 58.49/58.60 % Proof found
% 58.49/58.60 % SZS status Theorem for theBenchmark
% 58.49/58.60 % SZS output start Proof
% 58.49/58.60 %ClaNum:55(EqnAxiom:35)
% 58.49/58.60 %VarNum:211(SingletonVarNum:71)
% 58.49/58.60 %MaxLitNum:8
% 58.49/58.60 %MaxfuncDepth:1
% 58.49/58.60 %SharedTerms:12
% 58.49/58.60 %goalClause: 43
% 58.49/58.60 %singleGoalClaCount:1
% 58.49/58.60 [36]P1(a1,a10,a11,a12)
% 58.49/58.60 [40]~P2(a6,a8,a9)
% 58.49/58.60 [41]~P2(a8,a9,a6)
% 58.49/58.60 [42]~P2(a9,a6,a8)
% 58.49/58.60 [43]~P1(a12,a11,a1,a10)
% 58.49/58.60 [37]P1(x371,x372,x372,x371)
% 58.49/58.60 [38]P2(x381,x382,f2(x381,x382,x383,x384))
% 58.49/58.60 [39]P1(x391,f2(x392,x391,x393,x394),x393,x394)
% 58.49/58.60 [44]~P2(x441,x442,x441)+E(x441,x442)
% 58.49/58.60 [45]~P1(x451,x452,x453,x453)+E(x451,x452)
% 58.49/58.60 [49]~P2(x495,x491,x494)+~P2(x492,x493,x494)+P2(x491,f7(x492,x493,x494,x491,x495),x492)
% 58.49/58.60 [50]~P2(x505,x504,x503)+~P2(x502,x501,x503)+P2(x501,f7(x502,x501,x503,x504,x505),x505)
% 58.49/58.60 [46]~P1(x465,x466,x461,x462)+P1(x461,x462,x463,x464)+~P1(x465,x466,x463,x464)
% 58.49/58.60 [51]~P2(x514,x512,x513)+~P2(x511,x512,x515)+E(x511,x512)+P2(x511,x513,f3(x511,x514,x512,x513,x515))
% 58.49/58.60 [52]~P2(x523,x522,x524)+~P2(x521,x522,x525)+E(x521,x522)+P2(x521,x523,f4(x521,x523,x522,x524,x525))
% 58.49/58.60 [53]~P2(x533,x532,x534)+~P2(x531,x532,x535)+E(x531,x532)+P2(f4(x531,x533,x532,x534,x535),x535,f3(x531,x533,x532,x534,x535))
% 58.49/58.60 [54]~P2(x543,x544,x545)+~P2(x542,x543,x545)+~P1(x542,x545,x542,x546)+~P1(x542,x543,x542,x541)+P2(x541,f5(x542,x543,x541,x544,x545,x546),x546)
% 58.49/58.60 [55]~P2(x553,x552,x555)+~P2(x551,x553,x555)+~P1(x551,x555,x551,x556)+~P1(x551,x553,x551,x554)+P1(x551,x552,x551,f5(x551,x553,x554,x552,x555,x556))
% 58.49/58.60 [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)
% 58.49/58.60 [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)
% 58.49/58.60 %EqnAxiom
% 58.49/58.60 [1]E(x11,x11)
% 58.49/58.60 [2]E(x22,x21)+~E(x21,x22)
% 58.49/58.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.49/58.60 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 58.49/58.60 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 58.49/58.60 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 58.49/58.60 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 58.49/58.60 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 58.49/58.60 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 58.49/58.60 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 58.49/58.60 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 58.49/58.60 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 58.49/58.60 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 58.49/58.60 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145,x146),f7(x142,x143,x144,x145,x146))
% 58.49/58.60 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155,x156),f7(x153,x152,x154,x155,x156))
% 58.49/58.60 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165,x166),f7(x163,x164,x162,x165,x166))
% 58.49/58.60 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171,x176),f7(x173,x174,x175,x172,x176))
% 58.49/58.60 [18]~E(x181,x182)+E(f7(x183,x184,x185,x186,x181),f7(x183,x184,x185,x186,x182))
% 58.49/58.60 [19]~E(x191,x192)+E(f3(x191,x193,x194,x195,x196),f3(x192,x193,x194,x195,x196))
% 58.49/58.60 [20]~E(x201,x202)+E(f3(x203,x201,x204,x205,x206),f3(x203,x202,x204,x205,x206))
% 58.49/58.60 [21]~E(x211,x212)+E(f3(x213,x214,x211,x215,x216),f3(x213,x214,x212,x215,x216))
% 58.49/58.60 [22]~E(x221,x222)+E(f3(x223,x224,x225,x221,x226),f3(x223,x224,x225,x222,x226))
% 58.49/58.60 [23]~E(x231,x232)+E(f3(x233,x234,x235,x236,x231),f3(x233,x234,x235,x236,x232))
% 58.49/58.60 [24]~E(x241,x242)+E(f4(x241,x243,x244,x245,x246),f4(x242,x243,x244,x245,x246))
% 58.49/58.60 [25]~E(x251,x252)+E(f4(x253,x251,x254,x255,x256),f4(x253,x252,x254,x255,x256))
% 58.49/58.60 [26]~E(x261,x262)+E(f4(x263,x264,x261,x265,x266),f4(x263,x264,x262,x265,x266))
% 58.49/58.60 [27]~E(x271,x272)+E(f4(x273,x274,x275,x271,x276),f4(x273,x274,x275,x272,x276))
% 58.49/58.60 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x281),f4(x283,x284,x285,x286,x282))
% 58.49/58.60 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 58.49/58.60 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 58.49/58.60 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 58.49/58.60 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 58.49/58.60 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 58.49/58.60 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 58.49/58.60 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 58.49/58.60
% 58.49/58.60 %-------------------------------------------
% 58.59/58.61 cnf(60,plain,
% 58.59/58.61 (~E(f2(a6,a8,x601,x602),a9)),
% 58.59/58.61 inference(scs_inference,[],[43,36,39,38,40,46,30,35])).
% 58.59/58.61 cnf(62,plain,
% 58.59/58.61 (~P1(f2(x621,a12,a1,a10),a11,x622,x622)),
% 58.59/58.61 inference(scs_inference,[],[43,36,39,38,40,46,30,35,45])).
% 58.59/58.61 cnf(64,plain,
% 58.59/58.61 (~P2(f2(x641,a12,a1,a10),a11,f2(x641,a12,a1,a10))),
% 58.59/58.61 inference(scs_inference,[],[43,36,39,38,40,46,30,35,45,44])).
% 58.59/58.61 cnf(67,plain,
% 58.59/58.61 (~E(a11,f2(x671,a12,a1,a10))),
% 58.59/58.61 inference(scs_inference,[],[43,36,37,39,38,40,46,30,35,45,44,29,31])).
% 58.59/58.61 cnf(80,plain,
% 58.59/58.61 (P1(f2(x801,x802,x803,x804),x802,x803,x804)),
% 58.59/58.61 inference(scs_inference,[],[67,37,39,44,45,46])).
% 58.59/58.61 cnf(84,plain,
% 58.59/58.61 (~E(f2(x841,a11,a1,a10),a12)),
% 58.59/58.61 inference(scs_inference,[],[43,67,37,39,44,45,46,29])).
% 58.59/58.61 cnf(85,plain,
% 58.59/58.61 (~E(f2(f2(x851,a12,a1,a10),a11,x852,x853),f2(x851,a12,a1,a10))),
% 58.59/58.61 inference(scs_inference,[],[43,67,37,39,64,38,44,45,46,29,35])).
% 58.59/58.61 cnf(95,plain,
% 58.59/58.61 (P1(x951,x952,x951,x952)),
% 58.59/58.61 inference(scs_inference,[],[80,84,44,45,46])).
% 58.59/58.61 cnf(104,plain,
% 58.59/58.61 (~P2(f2(a6,a8,x1041,x1042),a9,f2(a6,a8,x1041,x1042))),
% 58.59/58.61 inference(scs_inference,[],[60,44])).
% 58.59/58.61 cnf(106,plain,
% 58.59/58.61 (~P1(f2(f2(x1061,a12,a1,a10),a11,x1062,x1063),f2(x1061,a12,a1,a10),x1064,x1064)),
% 58.59/58.61 inference(scs_inference,[],[85,60,44,45])).
% 58.59/58.61 cnf(108,plain,
% 58.59/58.61 (P1(x1081,x1082,f2(x1083,x1084,x1081,x1082),x1084)),
% 58.59/58.61 inference(scs_inference,[],[80,95,85,60,44,45,46])).
% 58.59/58.61 cnf(111,plain,
% 58.59/58.61 (~E(x1111,f2(x1112,x1111,f2(x1113,a12,a1,a10),a11))),
% 58.59/58.61 inference(scs_inference,[],[80,95,62,85,60,44,45,46,32])).
% 58.59/58.61 cnf(112,plain,
% 58.59/58.61 (~P1(f2(x1121,a12,a1,a10),a11,x1122,x1122)),
% 58.59/58.61 inference(rename_variables,[],[62])).
% 58.59/58.61 cnf(113,plain,
% 58.59/58.61 (~E(f2(x1131,x1132,f2(x1133,a12,a1,a10),a11),x1132)),
% 58.59/58.61 inference(scs_inference,[],[80,95,62,112,85,60,44,45,46,32,31])).
% 58.59/58.61 cnf(130,plain,
% 58.59/58.61 (P1(x1301,x1302,f2(x1303,x1304,x1301,x1302),x1304)),
% 58.59/58.61 inference(rename_variables,[],[108])).
% 58.59/58.61 cnf(134,plain,
% 58.59/58.61 (~E(f2(x1341,a12,a1,a10),f2(f2(x1341,a12,a1,a10),a11,x1342,x1343))),
% 58.59/58.61 inference(scs_inference,[],[43,80,108,130,111,95,106,44,45,46,31,29])).
% 58.59/58.61 cnf(137,plain,
% 58.59/58.61 (~E(f2(f2(a6,a8,x1371,x1372),a9,x1373,x1374),f2(a6,a8,x1371,x1372))),
% 58.59/58.61 inference(scs_inference,[],[43,80,108,130,111,95,106,104,38,44,45,46,31,29,35])).
% 58.59/58.61 cnf(152,plain,
% 58.59/58.61 (P1(x1521,x1522,x1523,f2(x1524,x1523,x1521,x1522))),
% 58.59/58.61 inference(scs_inference,[],[80,113,134,37,44,45,46])).
% 58.59/58.61 cnf(155,plain,
% 58.59/58.61 (~E(x1551,f2(x1552,f2(x1553,x1551,x1554,x1554),f2(x1555,a12,a1,a10),a11))),
% 58.59/58.61 inference(scs_inference,[],[80,113,134,37,39,44,45,46,29])).
% 58.59/58.61 cnf(171,plain,
% 58.59/58.61 (P1(x1711,x1712,x1713,f2(x1714,x1713,f2(x1715,x1716,x1711,x1712),x1716))),
% 58.59/58.61 inference(scs_inference,[],[80,152,155,44,45,46])).
% 58.59/58.61 cnf(272,plain,
% 58.59/58.61 (~P1(f2(a6,a8,x2721,x2722),a9,x2723,x2723)),
% 58.59/58.61 inference(scs_inference,[],[60,45])).
% 58.59/58.61 cnf(276,plain,
% 58.59/58.61 (~P1(f2(f2(a6,a8,x2761,x2762),a9,x2763,x2764),f2(a6,a8,x2761,x2762),x2765,x2765)),
% 58.59/58.61 inference(scs_inference,[],[137,45])).
% 58.59/58.61 cnf(278,plain,
% 58.59/58.61 (~E(a8,a9)),
% 58.59/58.61 inference(scs_inference,[],[80,272,137,45,30])).
% 58.59/58.61 cnf(281,plain,
% 58.59/58.61 (~P2(a8,a9,a8)),
% 58.59/58.61 inference(scs_inference,[],[80,272,137,45,30,44])).
% 58.59/58.61 cnf(292,plain,
% 58.59/58.61 (~P1(f2(f2(a6,a8,x2921,x2922),a9,x2923,x2924),f2(a6,a8,x2921,x2922),x2925,x2925)),
% 58.59/58.61 inference(rename_variables,[],[276])).
% 58.59/58.61 cnf(293,plain,
% 58.59/58.61 (~E(a8,f2(f2(a6,a8,x2931,x2931),a9,x2932,x2933))),
% 58.59/58.61 inference(scs_inference,[],[278,37,39,276,292,38,281,45,35,31,29])).
% 58.59/58.61 cnf(323,plain,
% 58.59/58.61 (P1(a11,a12,x3231,f2(x3232,x3231,a1,a10))),
% 58.59/58.61 inference(scs_inference,[],[36,152,293,44,45,46])).
% 58.59/58.61 cnf(1630,plain,
% 58.59/58.61 (P1(x16301,x16302,f2(x16303,x16304,x16302,x16301),x16304)),
% 58.59/58.61 inference(scs_inference,[],[37,108,46])).
% 58.59/58.61 cnf(1661,plain,
% 58.59/58.61 (P1(x16611,x16612,x16613,f2(x16614,x16613,f2(x16615,x16616,x16612,x16611),x16616))),
% 58.59/58.61 inference(scs_inference,[],[37,171,46])).
% 58.59/58.61 cnf(1679,plain,
% 58.59/58.61 (~E(f2(x16791,a1,a11,a12),a10)),
% 58.59/58.61 inference(scs_inference,[],[37,43,152,1661,46,29,32])).
% 58.59/58.61 cnf(1968,plain,
% 58.59/58.61 (P1(f2(x19681,x19682,a12,a11),x19682,x19683,f2(x19684,x19683,a1,a10))),
% 58.59/58.61 inference(scs_inference,[],[1630,323,46])).
% 58.59/58.61 cnf(4003,plain,
% 58.59/58.61 (P1(x40031,f2(x40032,x40031,a1,a10),a12,a11)),
% 58.59/58.61 inference(scs_inference,[],[1968,80,46])).
% 58.59/58.61 cnf(4855,plain,
% 58.59/58.61 ($false),
% 58.59/58.61 inference(scs_inference,[],[43,1679,4003,80,39,2,45,3,46]),
% 58.59/58.61 ['proof']).
% 58.59/58.61 % SZS output end Proof
% 58.59/58.61 % Total time :58.000000s
%------------------------------------------------------------------------------