%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO017-2 : 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 : n032.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 06:03:18 EDT 2024
% Result : Unsatisfiable 58.42s 58.49s
% Output : CNFRefutation 58.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO017-2 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.07 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Fri Jun 21 10:09:53 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.11/0.43 start to proof:theBenchmark
% 58.34/58.47 %-------------------------------------------
% 58.34/58.47 % File :CSE---1.7
% 58.34/58.47 % Problem :theBenchmark
% 58.34/58.47 % Transform :cnf
% 58.34/58.47 % Format :tptp:raw
% 58.34/58.47 % Command :java -jar mcs_scs.jar %d %s
% 58.34/58.47
% 58.34/58.47 % Result :Theorem 58.010000s
% 58.34/58.47 % Output :CNFRefutation 58.010000s
% 58.34/58.47 %-------------------------------------------
% 58.34/58.48 %--------------------------------------------------------------------------
% 58.34/58.48 % File : GEO017-2 : TPTP v8.2.0. Released v1.0.0.
% 58.34/58.48 % Domain : Geometry
% 58.34/58.48 % Problem : Corollary 1 to symmetries of equidistance
% 58.34/58.48 % Version : [Qua89] axioms.
% 58.34/58.48 % English : Show that if the distance from A to B equals the distance
% 58.34/58.48 % from C to D, then the distance from A to B equals the
% 58.34/58.48 % distance from D to C.
% 58.34/58.48
% 58.42/58.48 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 58.42/58.48 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 58.42/58.48 % Source : [TPTP]
% 58.42/58.48 % Names :
% 58.42/58.48
% 58.42/58.48 % Status : Unsatisfiable
% 58.42/58.48 % Rating : 0.05 v8.2.0, 0.10 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 v4.0.1, 0.09 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
% 58.42/58.48 % Syntax : Number of clauses : 20 ( 8 unt; 5 nHn; 17 RR)
% 58.42/58.48 % Number of literals : 58 ( 7 equ; 35 neg)
% 58.42/58.48 % Maximal clause size : 8 ( 2 avg)
% 58.42/58.48 % Maximal term depth : 2 ( 1 avg)
% 58.42/58.48 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 58.42/58.48 % Number of functors : 12 ( 12 usr; 7 con; 0-6 aty)
% 58.42/58.48 % Number of variables : 71 ( 3 sgn)
% 58.42/58.48 % SPC : CNF_UNS_RFO_SEQ_NHN
% 58.42/58.48
% 58.42/58.48 % Comments : Proving corollaries from axioms is not usual.
% 58.42/58.48 %--------------------------------------------------------------------------
% 58.42/58.48 %----Include Tarski geometry axioms
% 58.42/58.48 include('Axioms/GEO002-0.ax').
% 58.42/58.48 %--------------------------------------------------------------------------
% 58.42/58.48 cnf(u_to_v_equals_w_to_x,hypothesis,
% 58.42/58.48 equidistant(u,v,w,x) ).
% 58.42/58.48
% 58.42/58.48 cnf(prove_symmetry,negated_conjecture,
% 58.42/58.48 ~ equidistant(u,v,x,w) ).
% 58.42/58.48
% 58.42/58.48 %--------------------------------------------------------------------------
% 58.42/58.48 %-------------------------------------------
% 58.42/58.49 % Proof found
% 58.42/58.49 % SZS status Theorem for theBenchmark
% 58.42/58.49 % SZS output start Proof
% 58.42/58.49 %ClaNum:55(EqnAxiom:35)
% 58.42/58.49 %VarNum:211(SingletonVarNum:71)
% 58.42/58.49 %MaxLitNum:8
% 58.42/58.49 %MaxfuncDepth:1
% 58.42/58.49 %SharedTerms:12
% 58.42/58.49 %goalClause: 43
% 58.42/58.49 %singleGoalClaCount:1
% 58.42/58.49 [36]P1(a1,a10,a11,a12)
% 58.42/58.49 [40]~P2(a6,a8,a9)
% 58.42/58.49 [41]~P2(a8,a9,a6)
% 58.42/58.49 [42]~P2(a9,a6,a8)
% 58.42/58.49 [43]~P1(a1,a10,a12,a11)
% 58.42/58.49 [37]P1(x371,x372,x372,x371)
% 58.42/58.49 [38]P2(x381,x382,f2(x381,x382,x383,x384))
% 58.42/58.49 [39]P1(x391,f2(x392,x391,x393,x394),x393,x394)
% 58.42/58.49 [44]~P2(x441,x442,x441)+E(x441,x442)
% 58.42/58.49 [45]~P1(x451,x452,x453,x453)+E(x451,x452)
% 58.42/58.49 [49]~P2(x495,x491,x494)+~P2(x492,x493,x494)+P2(x491,f7(x492,x493,x494,x491,x495),x492)
% 58.42/58.49 [50]~P2(x505,x504,x503)+~P2(x502,x501,x503)+P2(x501,f7(x502,x501,x503,x504,x505),x505)
% 58.42/58.49 [46]~P1(x465,x466,x461,x462)+P1(x461,x462,x463,x464)+~P1(x465,x466,x463,x464)
% 58.42/58.49 [51]~P2(x514,x512,x513)+~P2(x511,x512,x515)+E(x511,x512)+P2(x511,x513,f3(x511,x514,x512,x513,x515))
% 58.42/58.49 [52]~P2(x523,x522,x524)+~P2(x521,x522,x525)+E(x521,x522)+P2(x521,x523,f4(x521,x523,x522,x524,x525))
% 58.42/58.49 [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))
% 58.42/58.49 [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)
% 58.42/58.49 [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))
% 58.42/58.49 [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)
% 58.42/58.49 [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)
% 58.42/58.49 %EqnAxiom
% 58.42/58.49 [1]E(x11,x11)
% 58.42/58.49 [2]E(x22,x21)+~E(x21,x22)
% 58.42/58.49 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.42/58.49 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 58.42/58.49 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 58.42/58.49 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 58.42/58.49 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 58.42/58.49 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 58.42/58.49 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 58.42/58.49 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 58.42/58.49 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 58.42/58.49 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 58.42/58.49 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 58.42/58.49 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145,x146),f7(x142,x143,x144,x145,x146))
% 58.42/58.49 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155,x156),f7(x153,x152,x154,x155,x156))
% 58.42/58.49 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165,x166),f7(x163,x164,x162,x165,x166))
% 58.42/58.49 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171,x176),f7(x173,x174,x175,x172,x176))
% 58.42/58.49 [18]~E(x181,x182)+E(f7(x183,x184,x185,x186,x181),f7(x183,x184,x185,x186,x182))
% 58.42/58.49 [19]~E(x191,x192)+E(f3(x191,x193,x194,x195,x196),f3(x192,x193,x194,x195,x196))
% 58.42/58.49 [20]~E(x201,x202)+E(f3(x203,x201,x204,x205,x206),f3(x203,x202,x204,x205,x206))
% 58.42/58.49 [21]~E(x211,x212)+E(f3(x213,x214,x211,x215,x216),f3(x213,x214,x212,x215,x216))
% 58.42/58.49 [22]~E(x221,x222)+E(f3(x223,x224,x225,x221,x226),f3(x223,x224,x225,x222,x226))
% 58.42/58.49 [23]~E(x231,x232)+E(f3(x233,x234,x235,x236,x231),f3(x233,x234,x235,x236,x232))
% 58.42/58.49 [24]~E(x241,x242)+E(f4(x241,x243,x244,x245,x246),f4(x242,x243,x244,x245,x246))
% 58.42/58.49 [25]~E(x251,x252)+E(f4(x253,x251,x254,x255,x256),f4(x253,x252,x254,x255,x256))
% 58.42/58.49 [26]~E(x261,x262)+E(f4(x263,x264,x261,x265,x266),f4(x263,x264,x262,x265,x266))
% 58.42/58.49 [27]~E(x271,x272)+E(f4(x273,x274,x275,x271,x276),f4(x273,x274,x275,x272,x276))
% 58.42/58.49 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x281),f4(x283,x284,x285,x286,x282))
% 58.42/58.49 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 58.42/58.49 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 58.42/58.49 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 58.42/58.49 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 58.42/58.49 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 58.42/58.49 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 58.42/58.49 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 58.42/58.49
% 58.42/58.49 %-------------------------------------------
% 58.42/58.50 cnf(56,plain,
% 58.42/58.50 (P1(a11,a12,a11,a12)),
% 58.42/58.50 inference(scs_inference,[],[36,46])).
% 58.42/58.50 cnf(60,plain,
% 58.42/58.50 (~E(f2(a6,a8,x601,x602),a9)),
% 58.42/58.50 inference(scs_inference,[],[43,36,39,38,40,46,30,35])).
% 58.42/58.50 cnf(64,plain,
% 58.42/58.50 (~P2(f2(x641,a1,a12,a11),a10,f2(x641,a1,a12,a11))),
% 58.42/58.50 inference(scs_inference,[],[43,36,39,38,40,46,30,35,45,44])).
% 58.42/58.50 cnf(67,plain,
% 58.42/58.50 (~E(a10,f2(x671,a1,a12,a11))),
% 58.42/58.50 inference(scs_inference,[],[43,36,37,39,38,40,46,30,35,45,44,29,31])).
% 58.42/58.50 cnf(69,plain,
% 58.42/58.50 (P1(a1,a10,a11,x691)+~E(a12,x691)),
% 58.42/58.50 inference(scs_inference,[],[43,36,37,39,38,40,46,30,35,45,44,29,31,32])).
% 58.42/58.50 cnf(76,plain,
% 58.42/58.50 (~P2(a10,f2(x761,a1,a12,a11),a10)),
% 58.42/58.50 inference(scs_inference,[],[67,44])).
% 58.42/58.50 cnf(78,plain,
% 58.42/58.50 (~P1(a10,f2(x781,a1,a12,a11),x782,x782)),
% 58.42/58.50 inference(scs_inference,[],[67,44,45])).
% 58.42/58.50 cnf(80,plain,
% 58.42/58.50 (P1(f2(x801,x802,x803,x804),x802,x803,x804)),
% 58.42/58.50 inference(scs_inference,[],[67,37,39,44,45,46])).
% 58.42/58.50 cnf(84,plain,
% 58.42/58.50 (~E(f2(x841,a10,a12,a11),a1)),
% 58.42/58.50 inference(scs_inference,[],[43,67,37,39,44,45,46,29])).
% 58.42/58.50 cnf(85,plain,
% 58.42/58.50 (~E(f2(f2(x851,a1,a12,a11),a10,x852,x853),f2(x851,a1,a12,a11))),
% 58.42/58.50 inference(scs_inference,[],[43,67,37,39,64,38,44,45,46,29,35])).
% 58.42/58.50 cnf(93,plain,
% 58.42/58.50 (~P2(f2(x931,a10,a12,a11),a1,f2(x931,a10,a12,a11))),
% 58.42/58.50 inference(scs_inference,[],[84,44])).
% 58.42/58.50 cnf(97,plain,
% 58.42/58.50 (P1(x971,x972,x971,x972)),
% 58.42/58.50 inference(scs_inference,[],[80,84,44,45,46])).
% 58.42/58.50 cnf(104,plain,
% 58.42/58.50 (P1(f2(x1041,x1042,x1043,x1044),x1045,x1043,x1044)+~E(x1042,x1045)),
% 58.42/58.50 inference(scs_inference,[],[80,84,56,76,38,44,45,46,35,29,32,31,30])).
% 58.42/58.50 cnf(109,plain,
% 58.42/58.50 (~P2(f2(a6,a8,x1091,x1092),a9,f2(a6,a8,x1091,x1092))),
% 58.42/58.50 inference(scs_inference,[],[60,44])).
% 58.42/58.50 cnf(111,plain,
% 58.42/58.50 (~P1(f2(f2(x1111,a1,a12,a11),a10,x1112,x1113),f2(x1111,a1,a12,a11),x1114,x1114)),
% 58.42/58.50 inference(scs_inference,[],[85,60,44,45])).
% 58.42/58.50 cnf(113,plain,
% 58.42/58.50 (~E(f2(f2(x1131,a10,a12,a11),a1,x1132,x1133),f2(x1131,a10,a12,a11))),
% 58.42/58.50 inference(scs_inference,[],[85,93,60,38,44,45,35])).
% 58.42/58.50 cnf(115,plain,
% 58.42/58.50 (P1(x1151,f2(x1152,x1153,x1154,x1155),x1154,x1155)+~E(x1153,x1151)),
% 58.42/58.50 inference(scs_inference,[],[39,85,93,60,38,44,45,35,29])).
% 58.42/58.50 cnf(116,plain,
% 58.42/58.50 (~E(a11,a12)+~E(a1,a10)),
% 58.42/58.50 inference(scs_inference,[],[39,78,85,93,60,38,44,45,35,29,32])).
% 58.42/58.50 cnf(117,plain,
% 58.42/58.50 (~P1(a10,f2(x1171,a1,a12,a11),x1172,x1172)),
% 58.42/58.50 inference(rename_variables,[],[78])).
% 58.42/58.50 cnf(118,plain,
% 58.42/58.50 (~E(a12,a11)+~E(a1,a10)),
% 58.42/58.50 inference(scs_inference,[],[39,78,117,85,93,60,38,44,45,35,29,32,31])).
% 58.42/58.50 cnf(122,plain,
% 58.42/58.50 (~P1(f2(f2(x1221,a10,a12,a11),a1,x1222,x1223),f2(x1221,a10,a12,a11),x1224,x1224)),
% 58.42/58.50 inference(scs_inference,[],[113,45])).
% 58.42/58.50 cnf(124,plain,
% 58.42/58.50 (~E(f2(x1241,a1,a12,a11),f2(f2(x1241,a1,a12,a11),a10,x1242,x1243))),
% 58.42/58.50 inference(scs_inference,[],[97,111,113,45,32])).
% 58.42/58.50 cnf(127,plain,
% 58.42/58.50 (~E(f2(f2(a6,a8,x1271,x1272),a9,x1273,x1274),f2(a6,a8,x1271,x1272))),
% 58.42/58.50 inference(scs_inference,[],[97,111,113,109,38,45,32,35])).
% 58.42/58.50 cnf(140,plain,
% 58.42/58.50 (~E(f2(x1401,a10,a12,a11),f2(f2(x1401,a10,a12,a11),a1,x1402,x1403))),
% 58.42/58.50 inference(scs_inference,[],[97,124,122,44,45,29])).
% 58.42/58.50 cnf(142,plain,
% 58.42/58.50 (~P1(f2(f2(x1421,a10,a12,a11),a1,x1422,x1423),f2(x1421,a10,a12,a11),x1424,x1424)),
% 58.42/58.50 inference(rename_variables,[],[122])).
% 58.42/58.50 cnf(143,plain,
% 58.42/58.50 (~E(f2(a8,a9,x1431,x1432),a6)),
% 58.42/58.50 inference(scs_inference,[],[97,124,122,41,38,44,45,29,35])).
% 58.42/58.50 cnf(145,plain,
% 58.42/58.50 (~E(a1,f2(x1451,a10,a12,a11))),
% 58.42/58.50 inference(scs_inference,[],[97,80,124,122,142,41,38,44,45,29,35,30])).
% 58.42/58.50 cnf(159,plain,
% 58.42/58.50 (P1(a11,a12,a1,a10)),
% 58.42/58.50 inference(scs_inference,[],[36,97,140,44,45,46])).
% 58.42/58.50 cnf(163,plain,
% 58.42/58.50 (P1(a11,a12,a1,x1631)+~E(a10,x1631)),
% 58.42/58.50 inference(scs_inference,[],[36,97,140,44,45,46,29,32])).
% 58.42/58.50 cnf(174,plain,
% 58.42/58.50 (P1(a11,a12,a10,a1)),
% 58.42/58.50 inference(scs_inference,[],[36,145,37,44,45,46])).
% 58.42/58.50 cnf(187,plain,
% 58.42/58.50 (~P1(f2(a6,a8,x1871,x1872),a9,x1873,x1873)),
% 58.42/58.50 inference(scs_inference,[],[60,143,44,45])).
% 58.42/58.50 cnf(192,plain,
% 58.42/58.50 (~P1(f2(f2(a6,a8,x1921,x1922),a9,x1923,x1924),f2(a6,a8,x1921,x1922),x1925,x1925)),
% 58.42/58.50 inference(scs_inference,[],[127,45])).
% 58.42/58.50 cnf(194,plain,
% 58.42/58.50 (~E(a8,a9)),
% 58.42/58.50 inference(scs_inference,[],[80,187,127,45,30])).
% 58.42/58.50 cnf(197,plain,
% 58.42/58.50 (~P2(a8,a9,a8)),
% 58.42/58.50 inference(scs_inference,[],[80,187,127,45,30,44])).
% 58.42/58.50 cnf(202,plain,
% 58.42/58.50 (~E(f2(a6,a8,x2021,x2022),f2(f2(a6,a8,x2021,x2022),a9,x2023,x2024))),
% 58.42/58.50 inference(scs_inference,[],[97,194,192,45,29])).
% 58.42/58.50 cnf(204,plain,
% 58.42/58.50 (~P1(f2(f2(a6,a8,x2041,x2042),a9,x2043,x2044),f2(a6,a8,x2041,x2042),x2045,x2045)),
% 58.42/58.50 inference(rename_variables,[],[192])).
% 58.42/58.50 cnf(205,plain,
% 58.42/58.50 (~E(a9,f2(a6,a8,x2051,x2052))),
% 58.42/58.50 inference(scs_inference,[],[97,80,194,192,204,45,29,30])).
% 58.42/58.50 cnf(215,plain,
% 58.42/58.50 (~E(f2(a8,a9,x2151,x2152),a8)),
% 58.42/58.50 inference(scs_inference,[],[202,205,38,197,44,45,35])).
% 58.42/58.50 cnf(236,plain,
% 58.42/58.50 (~P1(f2(a8,a9,x2361,x2362),a6,x2363,x2363)),
% 58.42/58.50 inference(scs_inference,[],[143,45])).
% 58.42/58.50 cnf(240,plain,
% 58.42/58.50 (~P1(f2(a8,a9,x2401,x2402),a8,x2403,x2403)),
% 58.42/58.50 inference(scs_inference,[],[215,45])).
% 58.42/58.50 cnf(257,plain,
% 58.42/58.50 (~P2(a1,a10,a1)+~E(a11,a12)),
% 58.42/58.50 inference(scs_inference,[],[116,44])).
% 58.42/58.50 cnf(273,plain,
% 58.42/58.50 (~P1(a1,a10,x2731,x2731)+~E(a12,a11)),
% 58.42/58.50 inference(scs_inference,[],[118,45])).
% 58.42/58.50 cnf(289,plain,
% 58.42/58.50 (~E(f2(a1,a10,x2891,x2892),a1)+~E(a11,a12)),
% 58.42/58.50 inference(scs_inference,[],[38,257,35])).
% 58.42/58.50 cnf(305,plain,
% 58.42/58.50 (~E(a12,a11)),
% 58.42/58.50 inference(scs_inference,[],[273,69])).
% 58.42/58.50 cnf(306,plain,
% 58.42/58.50 (~P2(a12,a11,a12)),
% 58.42/58.50 inference(scs_inference,[],[305,44])).
% 58.42/58.50 cnf(316,plain,
% 58.42/58.50 (~P1(f2(a12,a11,x3161,x3162),a12,x3163,x3163)),
% 58.42/58.50 inference(scs_inference,[],[38,306,35,44,45])).
% 58.42/58.50 cnf(347,plain,
% 58.42/58.50 (~P1(a11,a12,x3471,x3471)+~E(f2(a1,a10,x3472,x3473),a1)),
% 58.42/58.50 inference(scs_inference,[],[289,45])).
% 58.42/58.50 cnf(395,plain,
% 58.42/58.50 (~E(a10,a1)+~E(f2(a1,a10,x3951,x3952),a1)),
% 58.42/58.50 inference(scs_inference,[],[347,163])).
% 58.42/58.50 cnf(411,plain,
% 58.42/58.50 (~E(a1,f2(a1,a10,x4111,x4112))+~E(a10,a1)),
% 58.42/58.50 inference(scs_inference,[],[395,2])).
% 58.42/58.51 cnf(427,plain,
% 58.42/58.51 (~P1(a1,f2(a1,a10,x4271,x4272),x4273,x4273)+~E(a10,a1)),
% 58.42/58.51 inference(scs_inference,[],[411,45])).
% 58.42/58.51 cnf(443,plain,
% 58.42/58.51 (~E(a10,a1)),
% 58.42/58.51 inference(scs_inference,[],[427,115])).
% 58.42/58.51 cnf(446,plain,
% 58.42/58.51 (~P1(a10,a1,x4461,x4461)),
% 58.42/58.51 inference(scs_inference,[],[443,44,45])).
% 58.42/58.51 cnf(717,plain,
% 58.42/58.51 (P1(x7171,x7172,f2(x7173,x7174,x7171,x7172),x7174)),
% 58.42/58.51 inference(scs_inference,[],[80,97,46])).
% 58.42/58.51 cnf(720,plain,
% 58.42/58.51 (~E(f2(x7201,a11,a1,a10),a12)),
% 58.42/58.51 inference(scs_inference,[],[43,80,97,46,31])).
% 58.42/58.51 cnf(739,plain,
% 58.42/58.51 (~E(f2(x7391,a11,f2(x7392,x7393,a1,a10),x7393),a12)),
% 58.42/58.51 inference(scs_inference,[],[43,80,717,720,45,44,46,31])).
% 58.42/58.51 cnf(750,plain,
% 58.42/58.51 (P1(x7501,x7502,x7503,f2(x7504,x7503,x7501,x7502))),
% 58.42/58.51 inference(scs_inference,[],[80,739,37,45,46])).
% 58.42/58.51 cnf(753,plain,
% 58.42/58.51 (~E(f2(x7531,a12,a1,a10),a11)),
% 58.42/58.51 inference(scs_inference,[],[43,80,739,37,45,46,32])).
% 58.42/58.51 cnf(767,plain,
% 58.42/58.51 (P1(x7671,x7672,x7673,f2(x7674,x7673,f2(x7675,x7676,x7671,x7672),x7676))),
% 58.42/58.51 inference(scs_inference,[],[80,750,753,45,46])).
% 58.42/58.51 cnf(770,plain,
% 58.42/58.51 (~E(f2(x7701,a12,f2(x7702,x7703,a1,a10),x7703),a11)),
% 58.42/58.51 inference(scs_inference,[],[43,80,750,753,45,46,32])).
% 58.42/58.51 cnf(784,plain,
% 58.42/58.51 (~E(a9,a6)),
% 58.42/58.51 inference(scs_inference,[],[80,770,236,45,30])).
% 58.42/58.51 cnf(787,plain,
% 58.42/58.51 (~P2(a9,a6,a9)),
% 58.42/58.51 inference(scs_inference,[],[80,770,236,45,30,44])).
% 58.42/58.51 cnf(794,plain,
% 58.42/58.51 (~E(a9,a8)),
% 58.42/58.51 inference(scs_inference,[],[80,784,240,45,30])).
% 58.42/58.51 cnf(806,plain,
% 58.42/58.51 (~E(a11,a12)),
% 58.42/58.51 inference(scs_inference,[],[38,80,794,316,787,45,35,30])).
% 58.42/58.51 cnf(812,plain,
% 58.42/58.51 (~P1(a11,a12,x8121,x8121)),
% 58.42/58.51 inference(scs_inference,[],[806,45])).
% 58.42/58.51 cnf(995,plain,
% 58.42/58.51 (P1(a11,a12,x9951,f2(x9952,x9951,f2(x9953,x9954,a1,a10),x9954))),
% 58.42/58.51 inference(scs_inference,[],[36,767,46])).
% 58.42/58.51 cnf(999,plain,
% 58.42/58.51 (~P1(f2(x9991,x9992,f2(x9993,x9994,a1,a10),x9994),x9992,x9995,x9995)),
% 58.42/58.51 inference(scs_inference,[],[36,767,812,46,32,45])).
% 58.42/58.51 cnf(1002,plain,
% 58.42/58.51 (~E(f2(x10021,x10022,a1,a10),x10022)),
% 58.42/58.51 inference(scs_inference,[],[36,80,767,812,46,32,45,29,31])).
% 58.42/58.51 cnf(1006,plain,
% 58.42/58.51 (~E(x10061,f2(x10061,x10062,a1,a10))),
% 58.42/58.51 inference(scs_inference,[],[38,36,80,767,812,46,32,45,29,31,44,33])).
% 58.42/58.51 cnf(1024,plain,
% 58.42/58.51 (P1(a11,a12,x10241,f2(x10242,x10241,a1,a10))),
% 58.42/58.51 inference(scs_inference,[],[36,1002,995,750,39,812,999,1006,44,45,29,31,46])).
% 58.42/58.51 cnf(1370,plain,
% 58.42/58.51 (~P1(f2(a9,a6,x13701,x13702),a8,x13703,x13703)),
% 58.42/58.51 inference(scs_inference,[],[39,750,38,42,35,46,44,45])).
% 58.42/58.51 cnf(2140,plain,
% 58.42/58.51 (~P2(f2(x21401,x21402,a11,a12),x21402,f2(x21401,x21402,a11,a12))),
% 58.42/58.51 inference(scs_inference,[],[174,750,446,46,32,45,44])).
% 58.42/58.51 cnf(2149,plain,
% 58.42/58.51 (~E(x21491,f2(x21491,x21492,a11,a12))),
% 58.42/58.51 inference(scs_inference,[],[38,2140,33])).
% 58.42/58.51 cnf(5491,plain,
% 58.42/58.51 (~E(f2(x54911,a1,a1,a10),a10)),
% 58.42/58.51 inference(scs_inference,[],[43,1024,37,46,30])).
% 58.42/58.51 cnf(5550,plain,
% 58.42/58.51 ($false),
% 58.42/58.51 inference(scs_inference,[],[43,1370,5491,2149,159,39,37,104,2,45,3,46]),
% 58.42/58.51 ['proof']).
% 58.42/58.51 % SZS output end Proof
% 58.42/58.51 % Total time :58.010000s
%------------------------------------------------------------------------------