%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO036-2 : 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 : 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 06:03:26 EDT 2024
% Result : Unsatisfiable 1.67s 1.75s
% Output : CNFRefutation 1.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : GEO036-2 : TPTP v8.2.0. Released v1.0.0.
% 0.09/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 08:28:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.56/0.60 start to proof:theBenchmark
% 1.67/1.75 %-------------------------------------------
% 1.67/1.75 % File :CSE---1.7
% 1.67/1.75 % Problem :theBenchmark
% 1.67/1.75 % Transform :cnf
% 1.67/1.75 % Format :tptp:raw
% 1.67/1.75 % Command :java -jar mcs_scs.jar %d %s
% 1.67/1.75
% 1.67/1.75 % Result :Theorem 1.110000s
% 1.67/1.75 % Output :CNFRefutation 1.110000s
% 1.67/1.75 %-------------------------------------------
% 1.67/1.75 %--------------------------------------------------------------------------
% 1.67/1.75 % File : GEO036-2 : TPTP v8.2.0. Released v1.0.0.
% 1.67/1.75 % Domain : Geometry
% 1.67/1.75 % Problem : The 3 axiom set points are distinct
% 1.67/1.75 % Version : [Qua89] axioms.
% 1.67/1.75 % English :
% 1.67/1.75
% 1.67/1.75 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 1.67/1.75 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 1.67/1.75 % Source : [TPTP]
% 1.67/1.75 % Names :
% 1.67/1.75
% 1.67/1.75 % Status : Unsatisfiable
% 1.67/1.75 % Rating : 0.15 v8.2.0, 0.14 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.06 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, 0.20 v6.1.0, 0.36 v6.0.0, 0.20 v5.5.0, 0.35 v5.3.0, 0.39 v5.2.0, 0.25 v5.1.0, 0.35 v5.0.0, 0.29 v4.1.0, 0.31 v4.0.1, 0.36 v4.0.0, 0.45 v3.7.0, 0.20 v3.5.0, 0.27 v3.4.0, 0.33 v3.3.0, 0.29 v3.2.0, 0.23 v3.1.0, 0.27 v2.7.0, 0.25 v2.6.0, 0.30 v2.5.0, 0.25 v2.4.0, 0.11 v2.3.0, 0.22 v2.2.1, 0.22 v2.2.0, 0.33 v2.1.0, 0.33 v2.0.0
% 1.67/1.75 % Syntax : Number of clauses : 19 ( 6 unt; 6 nHn; 16 RR)
% 1.67/1.75 % Number of literals : 59 ( 10 equ; 34 neg)
% 1.67/1.75 % Maximal clause size : 8 ( 3 avg)
% 1.67/1.75 % Maximal term depth : 2 ( 1 avg)
% 1.67/1.75 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 1.67/1.75 % Number of functors : 8 ( 8 usr; 3 con; 0-6 aty)
% 1.67/1.75 % Number of variables : 71 ( 3 sgn)
% 1.67/1.75 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.67/1.75
% 1.67/1.75 % Comments :
% 1.67/1.75 %--------------------------------------------------------------------------
% 1.67/1.75 %----Include Tarski geometry axioms
% 1.67/1.75 include('Axioms/GEO002-0.ax').
% 1.67/1.75 %--------------------------------------------------------------------------
% 1.67/1.75 cnf(prove_axioms_points_are_distinct,negated_conjecture,
% 1.67/1.75 ( lower_dimension_point_1 = lower_dimension_point_2
% 1.67/1.75 | lower_dimension_point_2 = lower_dimension_point_3
% 1.67/1.75 | lower_dimension_point_1 = lower_dimension_point_3 ) ).
% 1.67/1.75
% 1.67/1.75 %--------------------------------------------------------------------------
% 1.67/1.75 %-------------------------------------------
% 1.67/1.75 % Proof found
% 1.67/1.75 % SZS status Theorem for theBenchmark
% 1.67/1.75 % SZS output start Proof
% 1.67/1.76 %ClaNum:54(EqnAxiom:35)
% 1.67/1.76 %VarNum:211(SingletonVarNum:71)
% 1.67/1.76 %MaxLitNum:8
% 1.67/1.76 %MaxfuncDepth:1
% 1.67/1.76 %SharedTerms:9
% 1.67/1.76 %goalClause: 42
% 1.67/1.76 [39]~P2(a5,a7,a8)
% 1.67/1.76 [40]~P2(a7,a8,a5)
% 1.67/1.76 [41]~P2(a8,a5,a7)
% 1.67/1.76 [36]P1(x361,x362,x362,x361)
% 1.67/1.76 [37]P2(x371,x372,f1(x371,x372,x373,x374))
% 1.67/1.76 [38]P1(x381,f1(x382,x381,x383,x384),x383,x384)
% 1.67/1.76 [43]~P2(x431,x432,x431)+E(x431,x432)
% 1.67/1.76 [44]~P1(x441,x442,x443,x443)+E(x441,x442)
% 1.67/1.76 [42]E(a5,a7)+E(a8,a5)+E(a8,a7)
% 1.67/1.76 [48]~P2(x485,x481,x484)+~P2(x482,x483,x484)+P2(x481,f6(x482,x483,x484,x481,x485),x482)
% 1.67/1.76 [49]~P2(x495,x494,x493)+~P2(x492,x491,x493)+P2(x491,f6(x492,x491,x493,x494,x495),x495)
% 1.67/1.76 [45]~P1(x455,x456,x451,x452)+P1(x451,x452,x453,x454)+~P1(x455,x456,x453,x454)
% 1.67/1.76 [50]~P2(x504,x502,x503)+~P2(x501,x502,x505)+E(x501,x502)+P2(x501,x503,f2(x501,x504,x502,x503,x505))
% 1.67/1.76 [51]~P2(x513,x512,x514)+~P2(x511,x512,x515)+E(x511,x512)+P2(x511,x513,f3(x511,x513,x512,x514,x515))
% 1.67/1.76 [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))
% 1.67/1.76 [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)
% 1.67/1.76 [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))
% 1.67/1.76 [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)
% 1.67/1.76 [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)
% 1.67/1.76 %EqnAxiom
% 1.67/1.76 [1]E(x11,x11)
% 1.67/1.76 [2]E(x22,x21)+~E(x21,x22)
% 1.67/1.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.67/1.76 [4]~E(x41,x42)+E(f1(x41,x43,x44,x45),f1(x42,x43,x44,x45))
% 1.67/1.76 [5]~E(x51,x52)+E(f1(x53,x51,x54,x55),f1(x53,x52,x54,x55))
% 1.67/1.76 [6]~E(x61,x62)+E(f1(x63,x64,x61,x65),f1(x63,x64,x62,x65))
% 1.67/1.76 [7]~E(x71,x72)+E(f1(x73,x74,x75,x71),f1(x73,x74,x75,x72))
% 1.67/1.76 [8]~E(x81,x82)+E(f4(x81,x83,x84,x85,x86,x87),f4(x82,x83,x84,x85,x86,x87))
% 1.67/1.76 [9]~E(x91,x92)+E(f4(x93,x91,x94,x95,x96,x97),f4(x93,x92,x94,x95,x96,x97))
% 1.67/1.76 [10]~E(x101,x102)+E(f4(x103,x104,x101,x105,x106,x107),f4(x103,x104,x102,x105,x106,x107))
% 1.67/1.76 [11]~E(x111,x112)+E(f4(x113,x114,x115,x111,x116,x117),f4(x113,x114,x115,x112,x116,x117))
% 1.67/1.76 [12]~E(x121,x122)+E(f4(x123,x124,x125,x126,x121,x127),f4(x123,x124,x125,x126,x122,x127))
% 1.67/1.76 [13]~E(x131,x132)+E(f4(x133,x134,x135,x136,x137,x131),f4(x133,x134,x135,x136,x137,x132))
% 1.67/1.76 [14]~E(x141,x142)+E(f6(x141,x143,x144,x145,x146),f6(x142,x143,x144,x145,x146))
% 1.67/1.76 [15]~E(x151,x152)+E(f6(x153,x151,x154,x155,x156),f6(x153,x152,x154,x155,x156))
% 1.67/1.76 [16]~E(x161,x162)+E(f6(x163,x164,x161,x165,x166),f6(x163,x164,x162,x165,x166))
% 1.67/1.76 [17]~E(x171,x172)+E(f6(x173,x174,x175,x171,x176),f6(x173,x174,x175,x172,x176))
% 1.67/1.76 [18]~E(x181,x182)+E(f6(x183,x184,x185,x186,x181),f6(x183,x184,x185,x186,x182))
% 1.67/1.76 [19]~E(x191,x192)+E(f2(x191,x193,x194,x195,x196),f2(x192,x193,x194,x195,x196))
% 1.67/1.76 [20]~E(x201,x202)+E(f2(x203,x201,x204,x205,x206),f2(x203,x202,x204,x205,x206))
% 1.67/1.76 [21]~E(x211,x212)+E(f2(x213,x214,x211,x215,x216),f2(x213,x214,x212,x215,x216))
% 1.67/1.76 [22]~E(x221,x222)+E(f2(x223,x224,x225,x221,x226),f2(x223,x224,x225,x222,x226))
% 1.67/1.76 [23]~E(x231,x232)+E(f2(x233,x234,x235,x236,x231),f2(x233,x234,x235,x236,x232))
% 1.67/1.76 [24]~E(x241,x242)+E(f3(x241,x243,x244,x245,x246),f3(x242,x243,x244,x245,x246))
% 1.67/1.76 [25]~E(x251,x252)+E(f3(x253,x251,x254,x255,x256),f3(x253,x252,x254,x255,x256))
% 1.67/1.76 [26]~E(x261,x262)+E(f3(x263,x264,x261,x265,x266),f3(x263,x264,x262,x265,x266))
% 1.67/1.76 [27]~E(x271,x272)+E(f3(x273,x274,x275,x271,x276),f3(x273,x274,x275,x272,x276))
% 1.67/1.76 [28]~E(x281,x282)+E(f3(x283,x284,x285,x286,x281),f3(x283,x284,x285,x286,x282))
% 1.67/1.76 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 1.67/1.76 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 1.67/1.76 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 1.67/1.76 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 1.67/1.76 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 1.67/1.76 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 1.67/1.76 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 1.67/1.76
% 1.67/1.76 %-------------------------------------------
% 1.67/1.76 cnf(55,plain,
% 1.67/1.76 (P1(x551,x552,x551,x552)),
% 1.67/1.76 inference(scs_inference,[],[36,45])).
% 1.67/1.76 cnf(58,plain,
% 1.67/1.76 (P2(x581,x582,f1(x581,x582,x583,x584))),
% 1.67/1.76 inference(rename_variables,[],[37])).
% 1.67/1.76 cnf(59,plain,
% 1.67/1.76 (~P2(f1(a5,a7,x591,x592),a8,f1(a5,a7,x591,x592))),
% 1.67/1.76 inference(scs_inference,[],[36,37,39,45,35,43])).
% 1.67/1.76 cnf(61,plain,
% 1.67/1.76 (~P1(f1(a5,a7,x611,x612),a8,x613,x613)),
% 1.67/1.76 inference(scs_inference,[],[36,37,39,45,35,43,44])).
% 1.67/1.76 cnf(63,plain,
% 1.67/1.76 (~E(a8,f1(a5,a7,x631,x632))),
% 1.67/1.76 inference(scs_inference,[],[36,37,39,45,35,43,44,29])).
% 1.67/1.76 cnf(64,plain,
% 1.67/1.76 (P1(x641,x642,x642,x641)),
% 1.67/1.76 inference(rename_variables,[],[36])).
% 1.67/1.76 cnf(65,plain,
% 1.67/1.76 (P1(x651,x652,x653,x651)+~E(x653,x652)),
% 1.67/1.76 inference(scs_inference,[],[36,64,37,39,45,35,43,44,29,30])).
% 1.67/1.76 cnf(66,plain,
% 1.67/1.76 (P1(x661,x662,x663,x661)+~E(x662,x663)),
% 1.67/1.76 inference(scs_inference,[],[36,64,37,39,45,35,43,44,29,30,31])).
% 1.67/1.76 cnf(67,plain,
% 1.67/1.76 (P1(x671,f1(x672,x671,x673,x674),x673,x675)+~E(x674,x675)),
% 1.67/1.76 inference(scs_inference,[],[36,64,38,37,39,45,35,43,44,29,30,31,32])).
% 1.67/1.76 cnf(68,plain,
% 1.67/1.76 (P2(x681,x682,f1(x683,x682,x684,x685))+~E(x683,x681)),
% 1.67/1.76 inference(scs_inference,[],[36,64,38,37,58,39,45,35,43,44,29,30,31,32,33])).
% 1.67/1.76 cnf(69,plain,
% 1.67/1.76 (P2(x691,x692,f1(x691,x693,x694,x695))+~E(x693,x692)),
% 1.67/1.76 inference(scs_inference,[],[36,64,38,37,58,39,45,35,43,44,29,30,31,32,33,34])).
% 1.67/1.76 cnf(75,plain,
% 1.67/1.76 (~P1(a8,f1(a5,a7,x751,x752),x753,x753)),
% 1.67/1.76 inference(scs_inference,[],[63,44])).
% 1.67/1.76 cnf(77,plain,
% 1.67/1.76 (~P2(a8,f1(a5,a7,x771,x772),a8)),
% 1.67/1.76 inference(scs_inference,[],[63,44,43])).
% 1.67/1.76 cnf(79,plain,
% 1.67/1.76 (P1(f1(x791,x792,x793,x794),x792,x793,x794)),
% 1.67/1.76 inference(scs_inference,[],[36,63,38,44,43,45])).
% 1.67/1.76 cnf(80,plain,
% 1.67/1.76 (P1(x801,f1(x802,x801,x803,x804),x803,x804)),
% 1.67/1.76 inference(rename_variables,[],[38])).
% 1.67/1.76 cnf(83,plain,
% 1.67/1.76 (~E(a7,a8)),
% 1.67/1.76 inference(scs_inference,[],[36,63,38,80,44,43,45,29])).
% 1.67/1.76 cnf(84,plain,
% 1.67/1.76 (P1(x841,f1(x842,x841,x843,x844),x843,x844)),
% 1.67/1.76 inference(rename_variables,[],[38])).
% 1.67/1.76 cnf(87,plain,
% 1.67/1.76 (~E(f1(x871,f1(a5,a7,x872,x873),x874,x874),a8)),
% 1.67/1.76 inference(scs_inference,[],[36,63,61,59,38,80,84,37,44,43,45,29,35,30])).
% 1.67/1.76 cnf(88,plain,
% 1.67/1.76 (P1(x881,f1(x882,x881,x883,x884),x883,x884)),
% 1.67/1.76 inference(rename_variables,[],[38])).
% 1.67/1.76 cnf(89,plain,
% 1.67/1.76 (P1(f1(x891,x892,x893,x894),x892,x893,x895)+~E(x894,x895)),
% 1.67/1.76 inference(scs_inference,[],[36,63,61,59,38,80,84,37,44,43,45,29,35,30,32])).
% 1.67/1.76 cnf(90,plain,
% 1.67/1.76 (P1(x901,f1(x902,x901,x903,x904),x905,x904)+~E(x903,x905)),
% 1.67/1.76 inference(scs_inference,[],[36,63,61,59,38,80,84,88,37,44,43,45,29,35,30,32,31])).
% 1.67/1.76 cnf(99,plain,
% 1.67/1.76 (~P1(f1(x991,f1(a5,a7,x992,x993),x994,x994),a8,x995,x995)),
% 1.67/1.76 inference(scs_inference,[],[87,44])).
% 1.67/1.76 cnf(105,plain,
% 1.67/1.76 (~E(f1(x1051,a8,x1052,x1052),f1(a5,a7,x1053,x1054))),
% 1.67/1.76 inference(scs_inference,[],[87,83,75,77,38,37,44,43,35,30])).
% 1.67/1.76 cnf(107,plain,
% 1.67/1.76 (~E(a8,a7)),
% 1.67/1.76 inference(scs_inference,[],[87,83,75,77,38,37,44,43,35,30,5])).
% 1.67/1.76 cnf(108,plain,
% 1.67/1.76 (P1(f1(x1081,x1082,x1083,x1084),x1082,x1085,x1084)+~E(x1083,x1085)),
% 1.67/1.76 inference(scs_inference,[],[87,83,79,75,77,38,37,44,43,35,30,5,31])).
% 1.67/1.76 cnf(119,plain,
% 1.67/1.76 (E(a5,a7)+E(a8,a5)),
% 1.67/1.76 inference(scs_inference,[],[107,42])).
% 1.67/1.76 cnf(120,plain,
% 1.67/1.76 (~P1(f1(x1201,a8,x1202,x1202),f1(a5,a7,x1203,x1204),x1205,x1205)),
% 1.67/1.76 inference(scs_inference,[],[105,44])).
% 1.67/1.76 cnf(124,plain,
% 1.67/1.76 (~E(a8,f1(x1241,f1(a5,a7,x1242,x1243),x1244,x1244))),
% 1.67/1.76 inference(scs_inference,[],[36,105,99,44,43,29])).
% 1.67/1.76 cnf(127,plain,
% 1.67/1.76 (~E(f1(a7,a8,x1271,x1272),a5)),
% 1.67/1.76 inference(scs_inference,[],[36,105,99,40,37,44,43,29,35])).
% 1.67/1.76 cnf(134,plain,
% 1.67/1.76 (~P1(a8,a7,x1341,x1341)),
% 1.67/1.76 inference(scs_inference,[],[107,44])).
% 1.67/1.76 cnf(138,plain,
% 1.67/1.76 (~E(f1(a5,a7,x1381,x1382),f1(x1383,a8,x1384,x1384))),
% 1.67/1.76 inference(scs_inference,[],[107,55,120,44,43,32])).
% 1.67/1.76 cnf(140,plain,
% 1.67/1.76 (~P1(f1(x1401,a8,x1402,x1402),f1(a5,a7,x1403,x1404),x1405,x1405)),
% 1.67/1.76 inference(rename_variables,[],[120])).
% 1.67/1.76 cnf(141,plain,
% 1.67/1.76 (~E(f1(x1411,f1(x1412,a8,x1413,x1413),x1414,x1414),f1(a5,a7,x1415,x1416))),
% 1.67/1.76 inference(scs_inference,[],[107,55,38,120,140,44,43,32,30])).
% 1.67/1.76 cnf(143,plain,
% 1.67/1.76 (~E(f1(x1431,f1(a5,a7,x1432,x1433),x1434,x1434),f1(x1435,a8,x1436,x1436))),
% 1.67/1.76 inference(scs_inference,[],[107,79,55,38,120,140,44,43,32,30,29])).
% 1.67/1.76 cnf(153,plain,
% 1.67/1.76 (~P1(f1(x1531,f1(a5,a7,x1532,x1533),x1534,x1534),f1(x1535,a8,x1536,x1536),x1537,x1537)),
% 1.67/1.76 inference(scs_inference,[],[143,44])).
% 1.67/1.76 cnf(155,plain,
% 1.67/1.76 (~P2(f1(a5,a7,x1551,x1552),f1(x1553,a8,x1554,x1554),f1(a5,a7,x1551,x1552))),
% 1.67/1.76 inference(scs_inference,[],[143,138,44,43])).
% 1.67/1.76 cnf(159,plain,
% 1.67/1.76 (~E(f1(a8,a5,x1591,x1592),a7)),
% 1.67/1.77 inference(scs_inference,[],[143,138,79,134,41,37,44,43,29,35])).
% 1.67/1.77 cnf(173,plain,
% 1.67/1.77 (~E(f1(f1(a5,a7,x1731,x1732),f1(x1733,a8,x1734,x1734),x1735,x1736),f1(a5,a7,x1731,x1732))),
% 1.67/1.77 inference(scs_inference,[],[36,141,124,153,155,37,44,43,31,35])).
% 1.67/1.77 cnf(380,plain,
% 1.67/1.77 (~P1(f1(f1(a5,a7,x3801,x3802),f1(x3803,a8,x3804,x3804),x3805,x3806),f1(a5,a7,x3801,x3802),x3807,x3807)),
% 1.67/1.77 inference(scs_inference,[],[173,44])).
% 1.67/1.77 cnf(418,plain,
% 1.67/1.77 (E(f1(a5,x4181,x4182,x4183),f1(a7,x4181,x4182,x4183))+E(a8,a5)),
% 1.67/1.77 inference(scs_inference,[],[119,4])).
% 1.67/1.77 cnf(800,plain,
% 1.67/1.77 (~P1(f1(a7,a8,x8001,x8002),a5,x8003,x8003)),
% 1.67/1.77 inference(scs_inference,[],[127,44])).
% 1.67/1.77 cnf(806,plain,
% 1.67/1.77 (~P1(f1(a8,a5,x8061,x8062),a7,x8063,x8063)),
% 1.67/1.77 inference(scs_inference,[],[159,44])).
% 1.67/1.77 cnf(808,plain,
% 1.67/1.77 (~E(a8,a5)),
% 1.67/1.77 inference(scs_inference,[],[79,800,159,44,30])).
% 1.67/1.77 cnf(809,plain,
% 1.67/1.77 (P1(f1(x8091,x8092,x8093,x8094),x8092,x8093,x8094)),
% 1.67/1.77 inference(rename_variables,[],[79])).
% 1.67/1.77 cnf(810,plain,
% 1.67/1.77 (~P1(f1(a7,a8,x8101,x8102),a5,x8103,x8103)),
% 1.67/1.77 inference(rename_variables,[],[800])).
% 1.67/1.77 cnf(812,plain,
% 1.67/1.77 (P1(x8121,x8122,x8122,x8121)),
% 1.67/1.77 inference(rename_variables,[],[36])).
% 1.67/1.77 cnf(813,plain,
% 1.67/1.77 (~P1(f1(a7,a8,x8131,x8132),a5,x8133,x8133)),
% 1.67/1.77 inference(rename_variables,[],[800])).
% 1.67/1.77 cnf(814,plain,
% 1.67/1.77 (~E(f1(x8141,a5,x8142,x8142),f1(a7,a8,x8143,x8144))),
% 1.67/1.77 inference(scs_inference,[],[36,79,809,800,810,813,159,44,30,31,29])).
% 1.67/1.77 cnf(817,plain,
% 1.67/1.77 (E(f1(a7,x8171,x8172,x8173),f1(a5,x8171,x8172,x8173))),
% 1.67/1.77 inference(scs_inference,[],[36,79,809,800,810,813,159,44,30,31,29,418,2])).
% 1.67/1.77 cnf(819,plain,
% 1.67/1.77 (P1(x8191,f1(a5,x8192,x8193,x8194),f1(a7,x8192,x8193,x8194),x8191)),
% 1.67/1.77 inference(scs_inference,[],[36,79,809,800,810,813,159,44,30,31,29,418,2,65,66])).
% 1.67/1.77 cnf(820,plain,
% 1.67/1.77 (P1(x8201,f1(x8202,x8201,x8203,f1(a5,x8204,x8205,x8206)),x8203,f1(a7,x8204,x8205,x8206))),
% 1.67/1.77 inference(scs_inference,[],[36,79,809,800,810,813,159,44,30,31,29,418,2,65,66,67])).
% 1.67/1.77 cnf(821,plain,
% 1.67/1.77 (P2(f1(a7,x8211,x8212,x8213),x8214,f1(f1(a5,x8211,x8212,x8213),x8214,x8215,x8216))),
% 1.67/1.77 inference(scs_inference,[],[36,79,809,800,810,813,159,44,30,31,29,418,2,65,66,67,68])).
% 1.67/1.77 cnf(822,plain,
% 1.67/1.77 (P2(x8221,f1(a7,x8222,x8223,x8224),f1(x8221,f1(a5,x8222,x8223,x8224),x8225,x8226))),
% 1.67/1.77 inference(scs_inference,[],[36,79,809,800,810,813,159,44,30,31,29,418,2,65,66,67,68,69])).
% 1.67/1.77 cnf(823,plain,
% 1.67/1.77 (P1(f1(x8231,x8232,x8233,f1(a5,x8234,x8235,x8236)),x8232,x8233,f1(a7,x8234,x8235,x8236))),
% 1.67/1.77 inference(scs_inference,[],[36,79,809,800,810,813,159,44,30,31,29,418,2,65,66,67,68,69,89])).
% 1.67/1.77 cnf(824,plain,
% 1.67/1.77 (P1(x8241,f1(x8242,x8241,f1(a5,x8243,x8244,x8245),x8246),f1(a7,x8243,x8244,x8245),x8246)),
% 1.67/1.77 inference(scs_inference,[],[36,79,809,800,810,813,159,44,30,31,29,418,2,65,66,67,68,69,89,90])).
% 1.67/1.77 cnf(836,plain,
% 1.67/1.77 (~E(f1(x8361,f1(x8362,a8,x8363,x8363),x8364,x8364),f1(a7,a7,x8365,x8366))),
% 1.67/1.77 inference(scs_inference,[],[36,812,141,79,809,800,810,813,380,159,44,30,31,29,418,2,65,66,67,68,69,89,90,108,5,43,34,45,35,32,3])).
% 1.67/1.77 cnf(843,plain,
% 1.67/1.77 (E(a5,a7)),
% 1.67/1.77 inference(scs_inference,[],[808,119])).
% 1.67/1.77 cnf(859,plain,
% 1.67/1.77 (P1(x8591,x8592,x8592,x8591)),
% 1.67/1.77 inference(rename_variables,[],[36])).
% 1.67/1.77 cnf(865,plain,
% 1.67/1.77 (~P1(f1(a8,a5,x8651,x8652),a7,x8653,x8653)),
% 1.67/1.77 inference(rename_variables,[],[806])).
% 1.67/1.77 cnf(868,plain,
% 1.67/1.77 (~P1(f1(a8,a5,x8681,x8682),a7,x8683,x8683)),
% 1.67/1.77 inference(rename_variables,[],[806])).
% 1.67/1.77 cnf(874,plain,
% 1.67/1.77 (~E(a7,a5)),
% 1.67/1.77 inference(scs_inference,[],[36,859,817,820,823,824,821,822,819,836,814,806,865,868,108,67,68,89,90,69,43,44,33,45,34,30,31,32,29,5])).
% 1.67/1.77 cnf(883,plain,
% 1.67/1.77 ($false),
% 1.67/1.77 inference(scs_inference,[],[843,874,2]),
% 1.67/1.77 ['proof']).
% 1.67/1.77 % SZS output end Proof
% 1.67/1.77 % Total time :1.110000s
%------------------------------------------------------------------------------