%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO059-2 : 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 : n028.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 06:03:34 EDT 2024
% Result : Unsatisfiable 3.74s 3.83s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO059-2 : 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
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 07:26:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 3.74/3.82 %-------------------------------------------
% 3.74/3.82 % File :CSE---1.7
% 3.74/3.82 % Problem :theBenchmark
% 3.74/3.82 % Transform :cnf
% 3.74/3.82 % Format :tptp:raw
% 3.74/3.82 % Command :java -jar mcs_scs.jar %d %s
% 3.74/3.82
% 3.74/3.82 % Result :Theorem 3.220000s
% 3.74/3.82 % Output :CNFRefutation 3.220000s
% 3.74/3.82 %-------------------------------------------
% 3.74/3.82 %--------------------------------------------------------------------------
% 3.74/3.82 % File : GEO059-2 : TPTP v8.2.0. Released v1.0.0.
% 3.74/3.82 % Domain : Geometry
% 3.74/3.82 % Problem : Congruence for double reflection
% 3.74/3.82 % Version : [Qua89] axioms.
% 3.74/3.82 % English :
% 3.74/3.82
% 3.74/3.82 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 3.74/3.82 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 3.74/3.82 % Source : [TPTP]
% 3.74/3.82 % Names :
% 3.74/3.82
% 3.74/3.82 % Status : Unsatisfiable
% 3.74/3.82 % Rating : 0.25 v8.2.0, 0.24 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.24 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.33 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.35 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.35 v5.0.0, 0.29 v4.1.0, 0.15 v4.0.1, 0.18 v4.0.0, 0.09 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.17 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.17 v2.6.0, 0.20 v2.5.0, 0.25 v2.4.0, 0.22 v2.2.1, 0.11 v2.2.0, 0.33 v2.1.0, 0.56 v2.0.0
% 3.74/3.82 % Syntax : Number of clauses : 20 ( 8 unt; 5 nHn; 16 RR)
% 3.74/3.82 % Number of literals : 58 ( 8 equ; 35 neg)
% 3.74/3.82 % Maximal clause size : 8 ( 2 avg)
% 3.74/3.82 % Maximal term depth : 3 ( 1 avg)
% 3.74/3.82 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 3.74/3.82 % Number of functors : 11 ( 11 usr; 5 con; 0-6 aty)
% 3.74/3.82 % Number of variables : 73 ( 3 sgn)
% 3.74/3.82 % SPC : CNF_UNS_RFO_SEQ_NHN
% 3.74/3.82
% 3.74/3.82 % Comments :
% 3.74/3.82 %--------------------------------------------------------------------------
% 3.74/3.82 %----Include Tarski geometry axioms
% 3.74/3.82 include('Axioms/GEO002-0.ax').
% 3.74/3.82 %----Include definition of reflection
% 3.74/3.82 include('Axioms/GEO002-2.ax').
% 3.74/3.83 %--------------------------------------------------------------------------
% 3.74/3.83 cnf(prove_congruence,negated_conjecture,
% 3.74/3.83 ~ equidistant(v,u,v,reflection(reflection(u,v),v)) ).
% 3.74/3.83
% 3.74/3.83 %--------------------------------------------------------------------------
% 3.74/3.83 %-------------------------------------------
% 3.74/3.83 % Proof found
% 3.74/3.83 % SZS status Theorem for theBenchmark
% 3.74/3.83 % SZS output start Proof
% 3.74/3.83 %ClaNum:54(EqnAxiom:35)
% 3.74/3.83 %VarNum:211(SingletonVarNum:71)
% 3.74/3.83 %MaxLitNum:8
% 3.74/3.83 %MaxfuncDepth:2
% 3.74/3.83 %SharedTerms:11
% 3.74/3.83 %goalClause: 42
% 3.74/3.83 %singleGoalClaCount:1
% 3.74/3.83 [39]~P2(a5,a7,a8)
% 3.74/3.83 [40]~P2(a7,a8,a5)
% 3.74/3.83 [41]~P2(a8,a5,a7)
% 3.74/3.83 [42]~P1(a9,a10,a9,f1(f1(a10,a9,a10,a9),a9,f1(a10,a9,a10,a9),a9))
% 3.74/3.83 [36]P1(x361,x362,x362,x361)
% 3.74/3.83 [37]P2(x371,x372,f1(x371,x372,x373,x374))
% 3.74/3.83 [38]P1(x381,f1(x382,x381,x383,x384),x383,x384)
% 3.74/3.83 [43]~P2(x431,x432,x431)+E(x431,x432)
% 3.74/3.83 [44]~P1(x441,x442,x443,x443)+E(x441,x442)
% 3.74/3.83 [48]~P2(x485,x481,x484)+~P2(x482,x483,x484)+P2(x481,f6(x482,x483,x484,x481,x485),x482)
% 3.74/3.83 [49]~P2(x495,x494,x493)+~P2(x492,x491,x493)+P2(x491,f6(x492,x491,x493,x494,x495),x495)
% 3.74/3.83 [45]~P1(x455,x456,x451,x452)+P1(x451,x452,x453,x454)+~P1(x455,x456,x453,x454)
% 3.74/3.83 [50]~P2(x504,x502,x503)+~P2(x501,x502,x505)+E(x501,x502)+P2(x501,x503,f2(x501,x504,x502,x503,x505))
% 3.74/3.83 [51]~P2(x513,x512,x514)+~P2(x511,x512,x515)+E(x511,x512)+P2(x511,x513,f3(x511,x513,x512,x514,x515))
% 3.74/3.83 [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))
% 3.74/3.83 [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)
% 3.74/3.83 [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))
% 3.74/3.83 [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)
% 3.74/3.83 [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)
% 3.74/3.83 %EqnAxiom
% 3.74/3.83 [1]E(x11,x11)
% 3.74/3.83 [2]E(x22,x21)+~E(x21,x22)
% 3.74/3.83 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.74/3.83 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 3.74/3.83 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 3.74/3.83 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 3.74/3.83 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 3.74/3.83 [8]~E(x81,x82)+E(f4(x81,x83,x84,x85,x86,x87),f4(x82,x83,x84,x85,x86,x87))
% 3.74/3.83 [9]~E(x91,x92)+E(f4(x93,x91,x94,x95,x96,x97),f4(x93,x92,x94,x95,x96,x97))
% 3.74/3.83 [10]~E(x101,x102)+E(f4(x103,x104,x101,x105,x106,x107),f4(x103,x104,x102,x105,x106,x107))
% 3.74/3.83 [11]~E(x111,x112)+E(f4(x113,x114,x115,x111,x116,x117),f4(x113,x114,x115,x112,x116,x117))
% 3.74/3.83 [12]~E(x121,x122)+E(f4(x123,x124,x125,x126,x121,x127),f4(x123,x124,x125,x126,x122,x127))
% 3.74/3.83 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x137,x131),f4(x133,x134,x135,x136,x137,x132))
% 3.74/3.83 [14]~E(x141,x142)+E(f3(x141,x143,x144,x145,x146),f3(x142,x143,x144,x145,x146))
% 3.74/3.83 [15]~E(x151,x152)+E(f3(x153,x151,x154,x155,x156),f3(x153,x152,x154,x155,x156))
% 3.74/3.83 [16]~E(x161,x162)+E(f3(x163,x164,x161,x165,x166),f3(x163,x164,x162,x165,x166))
% 3.74/3.83 [17]~E(x171,x172)+E(f3(x173,x174,x175,x171,x176),f3(x173,x174,x175,x172,x176))
% 3.74/3.83 [18]~E(x181,x182)+E(f3(x183,x184,x185,x186,x181),f3(x183,x184,x185,x186,x182))
% 3.74/3.83 [19]~E(x191,x192)+E(f2(x191,x193,x194,x195,x196),f2(x192,x193,x194,x195,x196))
% 3.74/3.83 [20]~E(x201,x202)+E(f2(x203,x201,x204,x205,x206),f2(x203,x202,x204,x205,x206))
% 3.74/3.83 [21]~E(x211,x212)+E(f2(x213,x214,x211,x215,x216),f2(x213,x214,x212,x215,x216))
% 3.74/3.83 [22]~E(x221,x222)+E(f2(x223,x224,x225,x221,x226),f2(x223,x224,x225,x222,x226))
% 3.74/3.83 [23]~E(x231,x232)+E(f2(x233,x234,x235,x236,x231),f2(x233,x234,x235,x236,x232))
% 3.74/3.83 [24]~E(x241,x242)+E(f6(x241,x243,x244,x245,x246),f6(x242,x243,x244,x245,x246))
% 3.74/3.83 [25]~E(x251,x252)+E(f6(x253,x251,x254,x255,x256),f6(x253,x252,x254,x255,x256))
% 3.74/3.83 [26]~E(x261,x262)+E(f6(x263,x264,x261,x265,x266),f6(x263,x264,x262,x265,x266))
% 3.74/3.83 [27]~E(x271,x272)+E(f6(x273,x274,x275,x271,x276),f6(x273,x274,x275,x272,x276))
% 3.74/3.83 [28]~E(x281,x282)+E(f6(x283,x284,x285,x286,x281),f6(x283,x284,x285,x286,x282))
% 3.74/3.83 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 3.74/3.83 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 3.74/3.83 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 3.74/3.83 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 3.74/3.83 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 3.74/3.83 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 3.74/3.83 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 3.74/3.83
% 3.74/3.83 %-------------------------------------------
% 3.74/3.83 cnf(55,plain,
% 3.74/3.83 (P1(x551,x552,x551,x552)),
% 3.74/3.83 inference(scs_inference,[],[36,45])).
% 3.74/3.83 cnf(120,plain,
% 3.74/3.83 (P1(f1(x1201,x1202,x1203,x1204),x1202,x1203,x1204)),
% 3.74/3.83 inference(scs_inference,[],[36,38,45])).
% 3.74/3.83 cnf(142,plain,
% 3.74/3.83 (P1(x1421,x1422,f1(x1423,x1424,x1421,x1422),x1424)),
% 3.74/3.83 inference(scs_inference,[],[120,55,45])).
% 3.74/3.83 cnf(153,plain,
% 3.74/3.83 (P1(x1531,x1532,x1533,f1(x1534,x1533,x1531,x1532))),
% 3.74/3.83 inference(scs_inference,[],[120,36,45])).
% 3.74/3.83 cnf(157,plain,
% 3.74/3.83 (~P1(f1(x1571,a9,a9,a10),f1(f1(a10,a9,a10,a9),a9,f1(a10,a9,a10,a9),a9),x1572,x1572)),
% 3.74/3.83 inference(scs_inference,[],[42,120,36,45,32,44])).
% 3.74/3.83 cnf(166,plain,
% 3.74/3.83 (P1(x1661,x1662,x1663,f1(x1664,x1663,f1(x1665,x1666,x1661,x1662),x1666))),
% 3.74/3.83 inference(scs_inference,[],[120,153,45])).
% 3.74/3.83 cnf(172,plain,
% 3.74/3.83 (~E(f1(x1721,a9,f1(x1722,x1723,a9,a10),x1723),f1(f1(a10,a9,a10,a9),a9,f1(a10,a9,a10,a9),a9))),
% 3.74/3.83 inference(scs_inference,[],[42,120,36,153,157,45,31,32])).
% 3.74/3.83 cnf(173,plain,
% 3.74/3.83 (~E(f1(x1731,a9,a9,a10),f1(a10,a9,a10,a9))),
% 3.74/3.83 inference(scs_inference,[],[42,120,36,153,157,45,31,32,6])).
% 3.74/3.83 cnf(174,plain,
% 3.74/3.83 (~P1(f1(f1(a10,a9,a10,a9),a9,f1(a10,a9,a10,a9),a9),f1(x1741,a9,a9,a10),x1742,x1742)),
% 3.74/3.83 inference(scs_inference,[],[42,120,36,153,157,45,31,32,6,44])).
% 3.74/3.83 cnf(189,plain,
% 3.74/3.83 (~P1(f1(x1891,a9,f1(x1892,x1893,a9,a10),x1893),f1(f1(a10,a9,a10,a9),a9,f1(a10,a9,a10,a9),a9),x1894,x1894)),
% 3.74/3.83 inference(scs_inference,[],[172,173,43,44])).
% 3.74/3.83 cnf(191,plain,
% 3.74/3.83 (P1(x1911,x1912,f1(x1913,x1914,f1(x1915,x1916,x1911,x1912),x1916),x1914)),
% 3.74/3.83 inference(scs_inference,[],[120,172,142,173,43,44,45])).
% 3.74/3.83 cnf(194,plain,
% 3.74/3.83 (~E(x1941,f1(x1942,x1941,f1(f1(a10,a9,a10,a9),a9,f1(a10,a9,a10,a9),a9),f1(x1943,a9,a9,a10)))),
% 3.74/3.83 inference(scs_inference,[],[120,172,142,153,174,173,43,44,45,31])).
% 3.74/3.83 cnf(208,plain,
% 3.74/3.83 (~E(f1(f1(a10,a9,a10,a9),a9,f1(a10,a9,a10,a9),a9),f1(x2081,a9,f1(x2082,x2083,a9,a10),x2083))),
% 3.74/3.83 inference(scs_inference,[],[36,194,189,44,43,31])).
% 3.74/3.83 cnf(218,plain,
% 3.74/3.83 (~E(f1(a10,a9,a10,a9),f1(x2181,a9,a9,a10))),
% 3.74/3.83 inference(scs_inference,[],[208,6])).
% 3.74/3.83 cnf(272,plain,
% 3.74/3.83 (~P1(f1(a10,a9,a10,a9),f1(x2721,a9,a9,a10),x2722,x2722)),
% 3.74/3.83 inference(scs_inference,[],[218,44])).
% 3.74/3.84 cnf(284,plain,
% 3.74/3.84 (P1(x2841,f1(x2842,x2841,f1(x2843,x2844,x2845,x2846),x2844),x2845,x2846)),
% 3.74/3.84 inference(scs_inference,[],[166,55,45])).
% 3.74/3.84 cnf(339,plain,
% 3.74/3.84 (P1(x3391,f1(x3392,x3391,x3393,f1(x3394,x3393,x3395,x3396)),x3395,x3396)),
% 3.74/3.84 inference(scs_inference,[],[153,38,45])).
% 3.74/3.84 cnf(465,plain,
% 3.74/3.84 (~P1(x4651,f1(x4652,x4651,f1(a10,a9,a10,a9),f1(x4653,a9,a9,a10)),x4654,x4654)),
% 3.74/3.84 inference(scs_inference,[],[142,272,32,43,44])).
% 3.74/3.84 cnf(473,plain,
% 3.74/3.84 (~P1(x4731,f1(x4732,x4731,f1(a10,a9,a10,a9),f1(x4733,a9,a9,a10)),x4734,x4734)),
% 3.74/3.84 inference(rename_variables,[],[465])).
% 3.74/3.84 cnf(474,plain,
% 3.74/3.84 (~E(f1(x4741,x4742,f1(a10,a9,a10,a9),f1(x4743,a9,a9,a10)),x4742)),
% 3.74/3.84 inference(scs_inference,[],[36,120,465,473,30,31])).
% 3.74/3.84 cnf(479,plain,
% 3.74/3.84 (~P1(x4791,f1(x4792,f1(x4793,x4791,x4794,x4794),f1(a10,a9,a10,a9),f1(x4795,a9,a9,a10)),x4796,x4796)),
% 3.74/3.84 inference(scs_inference,[],[36,120,465,473,30,31,43,44])).
% 3.74/3.84 cnf(491,plain,
% 3.74/3.84 (~P1(f1(x4911,x4912,f1(a10,a9,a10,a9),f1(x4913,a9,a9,a10)),x4912,x4914,x4914)),
% 3.74/3.84 inference(scs_inference,[],[474,43,44])).
% 3.74/3.84 cnf(495,plain,
% 3.74/3.84 (~E(x4951,f1(x4952,f1(x4953,f1(x4954,x4951,x4955,x4955),x4956,x4956),f1(a10,a9,a10,a9),f1(x4957,a9,a9,a10)))),
% 3.74/3.84 inference(scs_inference,[],[120,474,479,37,43,44,33,30])).
% 3.74/3.84 cnf(507,plain,
% 3.74/3.84 (~P1(x5071,f1(x5072,f1(x5073,f1(x5074,x5071,x5075,x5075),x5076,x5076),f1(a10,a9,a10,a9),f1(x5077,a9,a9,a10)),x5078,x5078)),
% 3.74/3.84 inference(scs_inference,[],[495,43,44])).
% 3.74/3.84 cnf(509,plain,
% 3.74/3.84 (~E(x5091,f1(x5092,f1(x5093,x5091,f1(x5094,x5095,x5096,x5096),x5095),f1(a10,a9,a10,a9),f1(x5097,a9,a9,a10)))),
% 3.74/3.84 inference(scs_inference,[],[284,495,491,43,44,29])).
% 3.74/3.84 cnf(519,plain,
% 3.74/3.84 (~E(x5191,f1(x5192,f1(x5193,x5191,f1(x5194,x5195,x5196,x5196),x5195),f1(a10,a9,a10,a9),f1(x5197,a9,a9,a10)))),
% 3.74/3.84 inference(rename_variables,[],[509])).
% 3.74/3.84 cnf(527,plain,
% 3.74/3.84 (~E(x5271,f1(x5272,f1(x5273,x5271,x5274,f1(x5275,x5274,x5276,x5276)),f1(a10,a9,a10,a9),f1(x5277,a9,a9,a10)))),
% 3.74/3.84 inference(scs_inference,[],[36,339,509,519,507,491,5,43,44,31,29])).
% 3.74/3.84 cnf(534,plain,
% 3.74/3.84 (~E(x5341,f1(x5342,f1(x5343,x5341,f1(a10,a9,a10,a9),f1(x5344,a9,a9,a10)),x5345,f1(x5346,x5345,x5347,x5347)))),
% 3.74/3.84 inference(scs_inference,[],[527,5])).
% 3.74/3.84 cnf(652,plain,
% 3.74/3.84 (P1(f1(x6521,x6522,f1(x6523,x6524,x6525,x6526),x6524),x6522,x6527,f1(x6528,x6527,f1(x6529,x65210,x6525,x6526),x65210))),
% 3.74/3.84 inference(scs_inference,[],[191,166,534,44,45])).
% 3.74/3.84 cnf(1099,plain,
% 3.74/3.84 (~E(f1(x10991,f1(f1(a10,a9,a10,a9),a9,f1(a10,a9,a10,a9),a9),f1(x10992,x10993,a10,a9),x10993),a9)),
% 3.74/3.84 inference(scs_inference,[],[36,42,191,45,31])).
% 3.74/3.84 cnf(1114,plain,
% 3.74/3.84 (~E(f1(x11141,a9,f1(x11142,x11143,a10,a9),x11143),a10)),
% 3.74/3.84 inference(scs_inference,[],[36,42,652,1099,44,45,30])).
% 3.74/3.84 cnf(1129,plain,
% 3.74/3.84 ($false),
% 3.74/3.84 inference(scs_inference,[],[36,42,166,1114,44,45]),
% 3.74/3.84 ['proof']).
% 3.74/3.84 % SZS output end Proof
% 3.74/3.84 % Total time :3.220000s
%------------------------------------------------------------------------------