%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO022-2 : 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 : 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 06:03:21 EDT 2024
% Result : Unsatisfiable 58.63s 58.79s
% Output : CNFRefutation 58.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GEO022-2 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri Jun 21 06:44:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.56 start to proof:theBenchmark
% 58.63/58.78 %-------------------------------------------
% 58.63/58.78 % File :CSE---1.7
% 58.63/58.78 % Problem :theBenchmark
% 58.63/58.78 % Transform :cnf
% 58.63/58.78 % Format :tptp:raw
% 58.63/58.78 % Command :java -jar mcs_scs.jar %d %s
% 58.63/58.78
% 58.63/58.78 % Result :Theorem 58.100000s
% 58.63/58.78 % Output :CNFRefutation 58.100000s
% 58.63/58.78 %-------------------------------------------
% 58.63/58.78 %--------------------------------------------------------------------------
% 58.63/58.78 % File : GEO022-2 : TPTP v8.2.0. Released v1.0.0.
% 58.63/58.78 % Domain : Geometry
% 58.63/58.78 % Problem : Ordinary transitivity of equidistance
% 58.63/58.78 % Version : [Qua89] axioms.
% 58.63/58.78 % English : This form of transitivity is different from that expressed
% 58.63/58.78 % in the axioms.
% 58.63/58.78
% 58.63/58.78 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 58.63/58.78 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 58.63/58.78 % Source : [TPTP]
% 58.63/58.78 % Names :
% 58.63/58.78
% 58.63/58.78 % Status : Unsatisfiable
% 58.63/58.78 % 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 v5.0.0, 0.07 v4.1.0, 0.08 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, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.0.0
% 58.63/58.78 % Syntax : Number of clauses : 21 ( 9 unt; 5 nHn; 18 RR)
% 58.63/58.78 % Number of literals : 59 ( 7 equ; 35 neg)
% 58.63/58.78 % Maximal clause size : 8 ( 2 avg)
% 58.63/58.78 % Maximal term depth : 2 ( 1 avg)
% 58.63/58.78 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 58.63/58.79 % Number of functors : 14 ( 14 usr; 9 con; 0-6 aty)
% 58.63/58.79 % Number of variables : 71 ( 3 sgn)
% 58.63/58.79 % SPC : CNF_UNS_RFO_SEQ_NHN
% 58.63/58.79
% 58.63/58.79 % Comments : In [Quiafe, 1989] the next problem (D6) is omitted.
% 58.63/58.79 %--------------------------------------------------------------------------
% 58.63/58.79 %----Include Tarski geometry axioms
% 58.63/58.79 include('Axioms/GEO002-0.ax').
% 58.63/58.79 %--------------------------------------------------------------------------
% 58.63/58.79 cnf(u_to_v_equals_w_to_x,hypothesis,
% 58.63/58.79 equidistant(u,v,w,x) ).
% 58.63/58.79
% 58.63/58.79 cnf(w_to_x_equals_y_to_z,hypothesis,
% 58.63/58.79 equidistant(w,x,y,z) ).
% 58.63/58.79
% 58.63/58.79 cnf(prove_transitivity,negated_conjecture,
% 58.63/58.79 ~ equidistant(u,v,y,z) ).
% 58.63/58.79
% 58.63/58.79 %--------------------------------------------------------------------------
% 58.63/58.79 %-------------------------------------------
% 58.63/58.79 % Proof found
% 58.63/58.79 % SZS status Theorem for theBenchmark
% 58.63/58.79 % SZS output start Proof
% 58.67/58.79 %ClaNum:56(EqnAxiom:35)
% 58.67/58.79 %VarNum:211(SingletonVarNum:71)
% 58.67/58.79 %MaxLitNum:8
% 58.67/58.79 %MaxfuncDepth:1
% 58.67/58.79 %SharedTerms:15
% 58.67/58.79 %goalClause: 44
% 58.67/58.79 %singleGoalClaCount:1
% 58.67/58.79 [36]P1(a1,a10,a11,a12)
% 58.67/58.79 [37]P1(a11,a12,a13,a14)
% 58.67/58.79 [41]~P2(a6,a8,a9)
% 58.67/58.79 [42]~P2(a8,a9,a6)
% 58.67/58.79 [43]~P2(a9,a6,a8)
% 58.67/58.79 [44]~P1(a1,a10,a13,a14)
% 58.67/58.79 [38]P1(x381,x382,x382,x381)
% 58.67/58.79 [39]P2(x391,x392,f2(x391,x392,x393,x394))
% 58.67/58.79 [40]P1(x401,f2(x402,x401,x403,x404),x403,x404)
% 58.67/58.79 [45]~P2(x451,x452,x451)+E(x451,x452)
% 58.67/58.79 [46]~P1(x461,x462,x463,x463)+E(x461,x462)
% 58.67/58.79 [50]~P2(x505,x501,x504)+~P2(x502,x503,x504)+P2(x501,f7(x502,x503,x504,x501,x505),x502)
% 58.67/58.79 [51]~P2(x515,x514,x513)+~P2(x512,x511,x513)+P2(x511,f7(x512,x511,x513,x514,x515),x515)
% 58.67/58.79 [47]~P1(x475,x476,x471,x472)+P1(x471,x472,x473,x474)+~P1(x475,x476,x473,x474)
% 58.67/58.79 [52]~P2(x524,x522,x523)+~P2(x521,x522,x525)+E(x521,x522)+P2(x521,x523,f3(x521,x524,x522,x523,x525))
% 58.67/58.79 [53]~P2(x533,x532,x534)+~P2(x531,x532,x535)+E(x531,x532)+P2(x531,x533,f4(x531,x533,x532,x534,x535))
% 58.67/58.79 [54]~P2(x543,x542,x544)+~P2(x541,x542,x545)+E(x541,x542)+P2(f4(x541,x543,x542,x544,x545),x545,f3(x541,x543,x542,x544,x545))
% 58.67/58.79 [55]~P2(x553,x554,x555)+~P2(x552,x553,x555)+~P1(x552,x555,x552,x556)+~P1(x552,x553,x552,x551)+P2(x551,f5(x552,x553,x551,x554,x555,x556),x556)
% 58.67/58.79 [56]~P2(x563,x562,x565)+~P2(x561,x563,x565)+~P1(x561,x565,x561,x566)+~P1(x561,x563,x561,x564)+P1(x561,x562,x561,f5(x561,x563,x564,x562,x565,x566))
% 58.67/58.79 [48]P2(x485,x483,x484)+P2(x484,x485,x483)+~P1(x483,x481,x483,x482)+~P1(x485,x481,x485,x482)+~P1(x484,x481,x484,x482)+E(x481,x482)+P2(x483,x484,x485)
% 58.67/58.79 [49]~P2(x491,x492,x493)+~P1(x492,x494,x498,x496)+~P1(x492,x493,x498,x495)+~P1(x491,x494,x497,x496)+~P1(x491,x492,x497,x498)+E(x491,x492)+P1(x493,x494,x495,x496)+~P2(x497,x498,x495)
% 58.67/58.79 %EqnAxiom
% 58.67/58.79 [1]E(x11,x11)
% 58.67/58.79 [2]E(x22,x21)+~E(x21,x22)
% 58.67/58.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.67/58.79 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 58.67/58.79 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 58.67/58.79 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 58.67/58.79 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 58.67/58.79 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 58.67/58.79 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 58.67/58.79 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 58.67/58.79 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 58.67/58.79 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 58.67/58.79 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 58.67/58.79 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145,x146),f7(x142,x143,x144,x145,x146))
% 58.67/58.79 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155,x156),f7(x153,x152,x154,x155,x156))
% 58.67/58.79 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165,x166),f7(x163,x164,x162,x165,x166))
% 58.67/58.79 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171,x176),f7(x173,x174,x175,x172,x176))
% 58.67/58.79 [18]~E(x181,x182)+E(f7(x183,x184,x185,x186,x181),f7(x183,x184,x185,x186,x182))
% 58.67/58.79 [19]~E(x191,x192)+E(f3(x191,x193,x194,x195,x196),f3(x192,x193,x194,x195,x196))
% 58.67/58.79 [20]~E(x201,x202)+E(f3(x203,x201,x204,x205,x206),f3(x203,x202,x204,x205,x206))
% 58.67/58.79 [21]~E(x211,x212)+E(f3(x213,x214,x211,x215,x216),f3(x213,x214,x212,x215,x216))
% 58.67/58.79 [22]~E(x221,x222)+E(f3(x223,x224,x225,x221,x226),f3(x223,x224,x225,x222,x226))
% 58.67/58.79 [23]~E(x231,x232)+E(f3(x233,x234,x235,x236,x231),f3(x233,x234,x235,x236,x232))
% 58.67/58.79 [24]~E(x241,x242)+E(f4(x241,x243,x244,x245,x246),f4(x242,x243,x244,x245,x246))
% 58.67/58.79 [25]~E(x251,x252)+E(f4(x253,x251,x254,x255,x256),f4(x253,x252,x254,x255,x256))
% 58.67/58.79 [26]~E(x261,x262)+E(f4(x263,x264,x261,x265,x266),f4(x263,x264,x262,x265,x266))
% 58.67/58.79 [27]~E(x271,x272)+E(f4(x273,x274,x275,x271,x276),f4(x273,x274,x275,x272,x276))
% 58.67/58.79 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x281),f4(x283,x284,x285,x286,x282))
% 58.67/58.79 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 58.67/58.79 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 58.67/58.79 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 58.67/58.79 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 58.67/58.79 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 58.67/58.79 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 58.67/58.79 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 58.67/58.79
% 58.67/58.79 %-------------------------------------------
% 58.67/58.80 cnf(61,plain,
% 58.67/58.80 (~E(f2(a6,a8,x611,x612),a9)),
% 58.67/58.80 inference(scs_inference,[],[44,36,40,39,41,47,30,35])).
% 58.67/58.80 cnf(65,plain,
% 58.67/58.80 (~P2(f2(x651,a1,a13,a14),a10,f2(x651,a1,a13,a14))),
% 58.67/58.80 inference(scs_inference,[],[44,36,40,39,41,47,30,35,46,45])).
% 58.67/58.80 cnf(68,plain,
% 58.67/58.80 (~E(a10,f2(x681,a1,a13,a14))),
% 58.67/58.80 inference(scs_inference,[],[44,36,38,40,39,41,47,30,35,46,45,29,31])).
% 58.67/58.80 cnf(77,plain,
% 58.67/58.80 (~P2(a10,f2(x771,a1,a13,a14),a10)),
% 58.67/58.80 inference(scs_inference,[],[68,45])).
% 58.67/58.80 cnf(83,plain,
% 58.67/58.80 (~E(f2(f2(x831,a1,a13,a14),a10,x832,x833),f2(x831,a1,a13,a14))),
% 58.67/58.80 inference(scs_inference,[],[68,37,65,39,45,46,47,35])).
% 58.67/58.80 cnf(93,plain,
% 58.67/58.80 (~P1(f2(f2(x931,a1,a13,a14),a10,x932,x933),f2(x931,a1,a13,a14),x934,x934)),
% 58.67/58.80 inference(scs_inference,[],[83,46])).
% 58.67/58.80 cnf(95,plain,
% 58.67/58.80 (~P2(f2(a6,a8,x951,x952),a9,f2(a6,a8,x951,x952))),
% 58.67/58.80 inference(scs_inference,[],[83,61,46,45])).
% 58.67/58.80 cnf(97,plain,
% 58.67/58.80 (P1(f2(x971,x972,x973,x974),x972,x973,x974)),
% 58.67/58.80 inference(scs_inference,[],[38,40,83,61,46,45,47])).
% 58.67/58.80 cnf(101,plain,
% 58.67/58.80 (~E(f2(a10,f2(x1011,a1,a13,a14),x1012,x1013),a10)),
% 58.67/58.80 inference(scs_inference,[],[38,40,83,61,77,39,46,45,47,35])).
% 58.67/58.80 cnf(107,plain,
% 58.67/58.80 (~P1(f2(a10,f2(x1071,a1,a13,a14),x1072,x1073),a10,x1074,x1074)),
% 58.67/58.80 inference(scs_inference,[],[101,46])).
% 58.67/58.80 cnf(109,plain,
% 58.67/58.80 (~E(f2(x1091,a10,a13,a14),a1)),
% 58.67/58.80 inference(scs_inference,[],[44,97,101,46,29])).
% 58.67/58.80 cnf(110,plain,
% 58.67/58.80 (P1(f2(x1101,x1102,x1103,x1104),x1102,x1103,x1104)),
% 58.67/58.80 inference(rename_variables,[],[97])).
% 58.67/58.80 cnf(111,plain,
% 58.67/58.80 (P1(x1111,x1112,x1111,x1112)),
% 58.67/58.80 inference(scs_inference,[],[44,97,110,101,46,29,47])).
% 58.67/58.80 cnf(113,plain,
% 58.67/58.80 (~E(f2(f2(a6,a8,x1131,x1132),a9,x1133,x1134),f2(a6,a8,x1131,x1132))),
% 58.67/58.80 inference(scs_inference,[],[44,97,110,95,101,39,46,29,47,35])).
% 58.67/58.80 cnf(115,plain,
% 58.67/58.80 (~E(f2(x1151,a1,a13,a14),f2(f2(x1151,a1,a13,a14),a10,x1152,x1153))),
% 58.67/58.80 inference(scs_inference,[],[44,97,110,38,93,95,101,39,46,29,47,35,31])).
% 58.67/58.80 cnf(118,plain,
% 58.67/58.80 (~P2(f2(x1181,a10,a13,a14),a1,f2(x1181,a10,a13,a14))),
% 58.67/58.80 inference(scs_inference,[],[44,97,110,38,93,95,101,39,46,29,47,35,31,45])).
% 58.67/58.80 cnf(132,plain,
% 58.67/58.80 (~E(a10,f2(a10,f2(x1321,a1,a13,a14),x1322,x1323))),
% 58.67/58.80 inference(scs_inference,[],[111,115,107,45,46,29])).
% 58.67/58.80 cnf(135,plain,
% 58.67/58.80 (~E(f2(f2(x1351,a10,a13,a14),a1,x1352,x1353),f2(x1351,a10,a13,a14))),
% 58.67/58.80 inference(scs_inference,[],[111,115,107,118,39,45,46,29,35])).
% 58.67/58.80 cnf(151,plain,
% 58.67/58.80 (P1(x1511,x1512,f2(x1513,x1514,x1511,x1512),x1514)),
% 58.67/58.80 inference(scs_inference,[],[97,132,111,45,46,47])).
% 58.67/58.80 cnf(154,plain,
% 58.67/58.80 (~E(f2(x1541,a14,a1,a10),a13)),
% 58.67/58.80 inference(scs_inference,[],[44,97,132,111,45,46,47,31])).
% 58.67/58.80 cnf(166,plain,
% 58.67/58.80 (~P2(f2(x1661,a14,a1,a10),a13,f2(x1661,a14,a1,a10))),
% 58.67/58.80 inference(scs_inference,[],[154,45])).
% 58.67/58.80 cnf(170,plain,
% 58.67/58.80 (P1(a11,a12,f2(x1701,x1702,a1,a10),x1702)),
% 58.67/58.80 inference(scs_inference,[],[36,151,109,154,45,46,47])).
% 58.67/58.80 cnf(180,plain,
% 58.67/58.80 (P1(x1801,x1802,f2(x1803,x1804,f2(x1805,x1806,x1801,x1802),x1806),x1804)),
% 58.67/58.80 inference(scs_inference,[],[97,151,154,46,47])).
% 58.67/58.80 cnf(185,plain,
% 58.67/58.80 (~E(f2(x1851,a14,f2(x1852,x1853,a1,a10),x1853),a13)),
% 58.67/58.80 inference(scs_inference,[],[44,97,151,154,39,166,46,47,35,31])).
% 58.67/58.80 cnf(197,plain,
% 58.67/58.80 (~P1(f2(x1971,a14,f2(x1972,x1973,a1,a10),x1973),a13,x1974,x1974)),
% 58.67/58.80 inference(scs_inference,[],[185,46])).
% 58.67/58.80 cnf(209,plain,
% 58.67/58.80 (~P1(f2(a6,a8,x2091,x2092),a9,x2093,x2093)),
% 58.67/58.80 inference(scs_inference,[],[61,46])).
% 58.67/58.80 cnf(211,plain,
% 58.67/58.80 (~E(f2(a8,a9,x2111,x2112),a6)),
% 58.67/58.80 inference(scs_inference,[],[39,61,42,46,35])).
% 58.67/58.80 cnf(213,plain,
% 58.67/58.80 (~E(a13,f2(x2131,a14,f2(x2132,x2133,a1,a10),x2133))),
% 58.67/58.80 inference(scs_inference,[],[111,197,39,61,42,46,35,29])).
% 58.67/58.80 cnf(216,plain,
% 58.67/58.80 (~P2(f2(a8,a9,x2161,x2162),a6,f2(a8,a9,x2161,x2162))),
% 58.67/58.80 inference(scs_inference,[],[111,197,39,61,42,46,35,29,45])).
% 58.67/58.80 cnf(231,plain,
% 58.67/58.80 (~E(f2(f2(a8,a9,x2311,x2312),a6,x2313,x2314),f2(a8,a9,x2311,x2312))),
% 58.67/58.80 inference(scs_inference,[],[213,39,216,45,46,35])).
% 58.67/58.80 cnf(233,plain,
% 58.67/58.80 (~E(a8,a9)),
% 58.67/58.80 inference(scs_inference,[],[97,213,209,39,216,45,46,35,30])).
% 58.67/58.80 cnf(245,plain,
% 58.67/58.80 (~P2(a8,a9,a8)),
% 58.67/58.80 inference(scs_inference,[],[233,45])).
% 58.67/58.80 cnf(256,plain,
% 58.67/58.80 (~P1(f2(f2(a6,a8,x2561,x2562),a9,x2563,x2564),f2(a6,a8,x2561,x2562),x2565,x2565)),
% 58.67/58.80 inference(scs_inference,[],[113,46])).
% 58.67/58.80 cnf(270,plain,
% 58.67/58.80 (~P1(f2(a8,a9,x2701,x2702),a6,x2703,x2703)),
% 58.67/58.80 inference(scs_inference,[],[211,46])).
% 58.67/58.80 cnf(274,plain,
% 58.67/58.80 (~E(f2(a6,a8,x2741,x2742),f2(f2(a6,a8,x2741,x2742),a9,x2743,x2744))),
% 58.67/58.80 inference(scs_inference,[],[38,256,39,211,245,46,35,31])).
% 58.67/58.80 cnf(276,plain,
% 58.67/58.80 (~P1(f2(f2(a6,a8,x2761,x2762),a9,x2763,x2764),f2(a6,a8,x2761,x2762),x2765,x2765)),
% 58.67/58.80 inference(rename_variables,[],[256])).
% 58.67/58.80 cnf(277,plain,
% 58.67/58.80 (~E(a8,f2(f2(a6,a8,x2771,x2771),a9,x2772,x2773))),
% 58.67/58.80 inference(scs_inference,[],[38,40,256,276,39,211,245,46,35,31,29])).
% 58.67/58.80 cnf(279,plain,
% 58.67/58.80 (~P1(f2(f2(a6,a8,x2791,x2792),a9,x2793,x2794),f2(a6,a8,x2791,x2792),x2795,x2795)),
% 58.67/58.80 inference(rename_variables,[],[256])).
% 58.67/58.80 cnf(280,plain,
% 58.67/58.80 (~E(a9,f2(a6,a8,x2801,x2802))),
% 58.67/58.80 inference(scs_inference,[],[97,38,40,256,276,279,39,211,245,46,35,31,29,30])).
% 58.67/58.80 cnf(283,plain,
% 58.67/58.80 (~P2(f2(a8,a9,x2831,x2832),a8,f2(a8,a9,x2831,x2832))),
% 58.67/58.80 inference(scs_inference,[],[97,38,40,256,276,279,39,211,245,46,35,31,29,30,45])).
% 58.67/58.80 cnf(291,plain,
% 58.67/58.80 (~E(f2(f2(a8,a9,x2911,x2912),a8,x2913,x2914),f2(a8,a9,x2911,x2912))),
% 58.67/58.80 inference(scs_inference,[],[274,39,283,45,46,35])).
% 58.67/58.80 cnf(293,plain,
% 58.67/58.80 (~E(a9,a6)),
% 58.67/58.80 inference(scs_inference,[],[97,274,270,39,283,45,46,35,30])).
% 58.67/58.80 cnf(301,plain,
% 58.67/58.80 (~P1(a8,f2(f2(a6,a8,x3011,x3011),a9,x3012,x3013),x3014,x3014)),
% 58.67/58.80 inference(scs_inference,[],[277,45,46])).
% 58.67/58.80 cnf(303,plain,
% 58.67/58.80 (P1(a11,a12,a1,a10)),
% 58.67/58.80 inference(scs_inference,[],[36,111,277,45,46,47])).
% 58.67/58.80 cnf(314,plain,
% 58.67/58.80 (~P2(a13,f2(x3141,a14,a1,a10),a13)),
% 58.67/58.80 inference(scs_inference,[],[154,2,45])).
% 58.67/58.80 cnf(315,plain,
% 58.67/58.80 (~P2(a9,f2(a6,a8,x3151,x3152),a9)),
% 58.67/58.80 inference(scs_inference,[],[280,45])).
% 58.67/58.80 cnf(319,plain,
% 58.67/58.80 (P1(a11,a12,f2(x3191,x3192,f2(x3193,x3194,a1,a10),x3194),x3192)),
% 58.67/58.80 inference(scs_inference,[],[36,180,280,45,46,47])).
% 58.67/58.80 cnf(330,plain,
% 58.67/58.80 (~P2(a9,a6,a9)),
% 58.67/58.80 inference(scs_inference,[],[293,45])).
% 58.67/58.80 cnf(345,plain,
% 58.67/58.80 (~P1(f2(f2(a8,a9,x3451,x3452),a6,x3453,x3454),f2(a8,a9,x3451,x3452),x3455,x3455)),
% 58.67/58.80 inference(scs_inference,[],[231,46])).
% 58.67/58.80 cnf(348,plain,
% 58.67/58.80 (~P1(f2(f2(a8,a9,x3481,x3482),a8,x3483,x3484),f2(a8,a9,x3481,x3482),x3485,x3485)),
% 58.67/58.80 inference(scs_inference,[],[291,46])).
% 58.67/58.80 cnf(350,plain,
% 58.67/58.80 (P1(f2(x3501,x3502,a1,a10),x3502,f2(x3503,x3504,f2(x3505,x3506,a1,a10),x3506),x3504)),
% 58.67/58.80 inference(scs_inference,[],[170,319,291,46,47])).
% 58.67/58.80 cnf(354,plain,
% 58.67/58.80 (~E(f2(a8,a9,x3541,x3542),f2(f2(a8,a9,x3541,x3542),a6,x3543,x3544))),
% 58.67/58.80 inference(scs_inference,[],[170,111,319,345,39,330,291,46,47,35,29])).
% 58.67/58.80 cnf(356,plain,
% 58.67/58.80 (~P1(f2(f2(a8,a9,x3561,x3562),a6,x3563,x3564),f2(a8,a9,x3561,x3562),x3565,x3565)),
% 58.67/58.80 inference(rename_variables,[],[345])).
% 58.67/58.80 cnf(357,plain,
% 58.67/58.80 (~E(a6,f2(a8,a9,x3571,x3572))),
% 58.67/58.80 inference(scs_inference,[],[170,111,97,319,345,356,39,330,291,46,47,35,29,30])).
% 58.67/58.80 cnf(360,plain,
% 58.67/58.80 (~P2(f2(a9,a6,x3601,x3602),a9,f2(a9,a6,x3601,x3602))),
% 58.67/58.80 inference(scs_inference,[],[170,111,97,319,345,356,39,330,291,46,47,35,29,30,45])).
% 58.67/58.80 cnf(372,plain,
% 58.67/58.80 (~P1(f2(a8,a9,x3721,x3722),f2(f2(a8,a9,x3721,x3722),a6,x3723,x3724),x3725,x3725)),
% 58.67/58.80 inference(scs_inference,[],[354,45,46])).
% 58.67/58.80 cnf(374,plain,
% 58.67/58.80 (~E(f2(a8,a9,x3741,x3742),f2(f2(a8,a9,x3741,x3742),a8,x3743,x3744))),
% 58.67/58.80 inference(scs_inference,[],[111,354,348,45,46,29])).
% 58.67/58.80 cnf(376,plain,
% 58.67/58.80 (~P1(f2(f2(a8,a9,x3761,x3762),a8,x3763,x3764),f2(a8,a9,x3761,x3762),x3765,x3765)),
% 58.67/58.80 inference(rename_variables,[],[348])).
% 58.67/58.80 cnf(377,plain,
% 58.67/58.80 (~E(a8,f2(a8,a9,x3771,x3772))),
% 58.67/58.80 inference(scs_inference,[],[111,97,354,348,376,45,46,29,30])).
% 58.67/58.80 cnf(384,plain,
% 58.67/58.80 (~P1(f2(a8,a9,x3841,x3842),f2(f2(a8,a9,x3841,x3842),a8,x3843,x3844),x3845,x3845)),
% 58.67/58.80 inference(scs_inference,[],[374,45,46])).
% 58.67/58.80 cnf(400,plain,
% 58.67/58.80 (~E(a9,f2(f2(a8,a9,x4001,x4001),a6,x4002,x4003))),
% 58.67/58.80 inference(scs_inference,[],[97,357,372,45,46,30])).
% 58.67/58.80 cnf(407,plain,
% 58.67/58.80 (~P1(a9,f2(f2(a8,a9,x4071,x4071),a6,x4072,x4073),x4074,x4074)),
% 58.67/58.80 inference(scs_inference,[],[400,45,46])).
% 58.67/58.80 cnf(409,plain,
% 58.67/58.80 (~E(a9,f2(f2(a8,a9,x4091,x4091),a8,x4092,x4093))),
% 58.67/58.80 inference(scs_inference,[],[97,400,384,45,46,30])).
% 58.67/58.80 cnf(418,plain,
% 58.67/58.80 (~E(f2(f2(a6,a8,x4181,x4181),a9,x4182,x4183),a8)),
% 58.67/58.80 inference(scs_inference,[],[409,38,301,45,46,31])).
% 58.67/58.80 cnf(420,plain,
% 58.67/58.80 (~P1(a8,f2(f2(a6,a8,x4201,x4201),a9,x4202,x4203),x4204,x4204)),
% 58.67/58.81 inference(rename_variables,[],[301])).
% 58.67/58.81 cnf(421,plain,
% 58.67/58.81 (~E(a9,a8)),
% 58.67/58.81 inference(scs_inference,[],[409,40,38,301,420,45,46,31,29])).
% 58.67/58.81 cnf(432,plain,
% 58.67/58.81 (~P1(a9,f2(f2(a8,a9,x4321,x4321),a6,x4322,x4323),x4324,x4324)),
% 58.67/58.81 inference(rename_variables,[],[407])).
% 58.67/58.81 cnf(433,plain,
% 58.67/58.81 (~E(a6,a9)),
% 58.67/58.81 inference(scs_inference,[],[418,377,40,38,407,432,45,46,31,29])).
% 58.67/58.81 cnf(438,plain,
% 58.67/58.81 (~P2(a9,a8,a9)),
% 58.67/58.81 inference(scs_inference,[],[421,45])).
% 58.67/58.81 cnf(447,plain,
% 58.67/58.81 (~P2(a6,a9,a6)),
% 58.67/58.81 inference(scs_inference,[],[433,45])).
% 58.67/58.81 cnf(454,plain,
% 58.67/58.81 (P1(f2(x4541,x4542,x4543,f2(x4544,x4543,x4545,x4546)),x4542,x4545,x4546)),
% 58.67/58.81 inference(scs_inference,[],[151,421,40,46,47])).
% 58.67/58.81 cnf(472,plain,
% 58.67/58.81 (~E(f2(a9,a8,x4721,x4722),a9)),
% 58.67/58.81 inference(scs_inference,[],[377,39,438,46,35])).
% 58.67/58.81 cnf(474,plain,
% 58.67/58.81 (~P2(f2(a9,a8,x4741,x4742),a9,f2(a9,a8,x4741,x4742))),
% 58.67/58.81 inference(scs_inference,[],[377,39,438,46,35,45])).
% 58.67/58.81 cnf(484,plain,
% 58.67/58.81 (~P2(f2(a6,a9,x4841,x4842),a6,f2(a6,a9,x4841,x4842))),
% 58.67/58.81 inference(scs_inference,[],[433,39,447,46,35,45])).
% 58.67/58.81 cnf(499,plain,
% 58.67/58.81 (~P1(f2(f2(x4991,a10,a13,a14),a1,x4992,x4993),f2(x4991,a10,a13,a14),x4994,x4994)),
% 58.67/58.81 inference(scs_inference,[],[135,46])).
% 58.67/58.81 cnf(501,plain,
% 58.67/58.81 (P1(f2(x5011,x5012,f2(x5013,x5014,a1,a10),x5014),x5012,a1,a10)),
% 58.67/58.81 inference(scs_inference,[],[350,97,135,46,47])).
% 58.67/58.81 cnf(516,plain,
% 58.67/58.81 (~P1(f2(f2(x5161,a10,a13,a14),a1,x5162,x5163),f2(x5161,a10,a13,a14),x5164,x5164)),
% 58.67/58.81 inference(rename_variables,[],[499])).
% 58.67/58.81 cnf(517,plain,
% 58.67/58.81 (~E(a1,f2(x5171,a10,a13,a14))),
% 58.67/58.81 inference(scs_inference,[],[97,111,499,516,472,46,29,30])).
% 58.67/58.81 cnf(523,plain,
% 58.67/58.81 (~P2(a1,f2(x5231,a10,a13,a14),a1)),
% 58.67/58.81 inference(scs_inference,[],[517,45])).
% 58.67/58.81 cnf(626,plain,
% 58.67/58.81 (P1(f2(x6261,x6262,a11,a12),x6262,f2(x6263,x6264,a1,a10),x6264)),
% 58.67/58.81 inference(scs_inference,[],[151,170,47])).
% 58.67/58.81 cnf(637,plain,
% 58.67/58.81 (P1(f2(x6371,x6372,f2(x6373,x6374,a11,a12),x6374),x6372,f2(x6375,x6376,a1,a10),x6376)),
% 58.67/58.81 inference(scs_inference,[],[180,170,47])).
% 58.67/58.81 cnf(648,plain,
% 58.67/58.81 (P1(f2(x6481,x6482,a11,a12),x6482,f2(x6483,x6484,f2(x6485,x6486,a1,a10),x6486),x6484)),
% 58.67/58.81 inference(scs_inference,[],[151,319,47])).
% 58.67/58.81 cnf(775,plain,
% 58.67/58.81 (P1(a13,a14,f2(x7751,x7752,f2(x7753,x7754,a11,a12),x7754),x7752)),
% 58.67/58.81 inference(scs_inference,[],[37,180,47])).
% 58.67/58.81 cnf(784,plain,
% 58.67/58.81 (P1(a13,a14,f2(x7841,x7842,a11,a12),x7842)),
% 58.67/58.81 inference(scs_inference,[],[37,151,47])).
% 58.67/58.81 cnf(799,plain,
% 58.67/58.81 (P1(a13,a14,f2(x7991,x7992,a1,a10),x7992)),
% 58.67/58.81 inference(scs_inference,[],[37,170,47])).
% 58.67/58.81 cnf(833,plain,
% 58.67/58.81 (P1(f2(x8331,x8332,f2(x8333,x8334,a13,a14),x8334),x8332,f2(x8335,x8336,a11,a12),x8336)),
% 58.67/58.81 inference(scs_inference,[],[180,784,47])).
% 58.67/58.81 cnf(838,plain,
% 58.67/58.81 (~P1(f2(f2(a9,a6,x8381,x8382),a9,x8383,x8384),f2(a9,a6,x8381,x8382),x8385,x8385)),
% 58.67/58.81 inference(scs_inference,[],[180,784,39,360,47,35,46])).
% 58.67/58.81 cnf(850,plain,
% 58.67/58.81 (~P1(f2(f2(a9,a6,x8501,x8502),a9,x8503,x8504),f2(a9,a6,x8501,x8502),x8505,x8505)),
% 58.67/58.81 inference(rename_variables,[],[838])).
% 58.67/58.81 cnf(851,plain,
% 58.67/58.81 (~E(f2(a9,a6,x8511,x8512),f2(f2(a9,a6,x8511,x8512),a9,x8513,x8514))),
% 58.67/58.81 inference(scs_inference,[],[97,111,838,850,30,29])).
% 58.67/58.81 cnf(857,plain,
% 58.67/58.81 (~E(f2(f2(a9,a8,x8571,x8572),a9,x8573,x8574),f2(a9,a8,x8571,x8572))),
% 58.67/58.81 inference(scs_inference,[],[97,151,111,775,838,850,39,474,30,29,47,35])).
% 58.67/58.81 cnf(859,plain,
% 58.67/58.81 (~P2(a9,f2(a9,a6,x8591,x8592),a9)),
% 58.67/58.81 inference(scs_inference,[],[97,151,111,775,838,850,39,474,30,29,47,35,45])).
% 58.67/58.81 cnf(873,plain,
% 58.67/58.81 (~P1(f2(a9,a6,x8731,x8732),f2(f2(a9,a6,x8731,x8732),a9,x8733,x8734),x8735,x8735)),
% 58.67/58.81 inference(scs_inference,[],[851,45,46])).
% 58.67/58.81 cnf(878,plain,
% 58.67/58.81 (~E(f2(f2(a6,a9,x8781,x8782),a6,x8783,x8784),f2(a6,a9,x8781,x8782))),
% 58.67/58.81 inference(scs_inference,[],[151,784,851,39,484,45,46,47,35])).
% 58.67/58.81 cnf(884,plain,
% 58.67/58.81 (~P1(f2(f2(a9,a8,x8841,x8842),a9,x8843,x8844),f2(a9,a8,x8841,x8842),x8845,x8845)),
% 58.67/58.81 inference(scs_inference,[],[857,46])).
% 58.67/58.81 cnf(886,plain,
% 58.67/58.81 (~E(a6,f2(f2(a9,a6,x8861,x8861),a9,x8862,x8863))),
% 58.67/58.81 inference(scs_inference,[],[97,873,857,46,30])).
% 58.67/58.81 cnf(889,plain,
% 58.67/58.81 (P1(f2(x8891,x8892,f2(x8893,x8894,a13,a14),x8894),x8892,f2(x8895,x8896,a1,a10),x8896)),
% 58.67/58.81 inference(scs_inference,[],[97,180,799,873,857,46,30,47])).
% 58.67/58.81 cnf(904,plain,
% 58.67/58.81 (~P1(a6,f2(f2(a9,a6,x9041,x9041),a9,x9042,x9043),x9044,x9044)),
% 58.67/58.81 inference(scs_inference,[],[886,46])).
% 58.67/58.81 cnf(908,plain,
% 58.67/58.81 (~P1(f2(f2(a9,a8,x9081,x9082),a9,x9083,x9084),f2(a9,a8,x9081,x9082),x9085,x9085)),
% 58.67/58.81 inference(rename_variables,[],[884])).
% 58.67/58.81 cnf(914,plain,
% 58.67/58.81 (~P1(f2(f2(a9,a8,x9141,x9142),a9,x9143,x9144),f2(a9,a8,x9141,x9142),x9145,x9145)),
% 58.67/58.81 inference(rename_variables,[],[884])).
% 58.67/58.81 cnf(915,plain,
% 58.67/58.81 (~E(a8,f2(f2(a9,a8,x9151,x9151),a9,x9152,x9153))),
% 58.67/58.81 inference(scs_inference,[],[97,151,799,886,40,38,884,908,914,46,30,47,31,29])).
% 58.67/58.81 cnf(918,plain,
% 58.67/58.81 (~P2(a9,f2(a9,a8,x9181,x9182),a9)),
% 58.67/58.81 inference(scs_inference,[],[97,151,799,886,40,38,884,908,914,46,30,47,31,29,45])).
% 58.67/58.81 cnf(941,plain,
% 58.67/58.81 (~P1(a8,f2(f2(a9,a8,x9411,x9411),a9,x9412,x9413),x9414,x9414)),
% 58.67/58.81 inference(scs_inference,[],[915,45,46])).
% 58.67/58.81 cnf(961,plain,
% 58.67/58.81 (~P1(f2(f2(a6,a9,x9611,x9612),a6,x9613,x9614),f2(a6,a9,x9611,x9612),x9615,x9615)),
% 58.67/58.81 inference(scs_inference,[],[878,46])).
% 58.67/58.81 cnf(973,plain,
% 58.67/58.81 (~P1(f2(f2(a6,a9,x9731,x9732),a6,x9733,x9734),f2(a6,a9,x9731,x9732),x9735,x9735)),
% 58.67/58.81 inference(rename_variables,[],[961])).
% 58.67/58.81 cnf(976,plain,
% 58.67/58.81 (~P1(f2(f2(a6,a9,x9761,x9762),a6,x9763,x9764),f2(a6,a9,x9761,x9762),x9765,x9765)),
% 58.67/58.81 inference(rename_variables,[],[961])).
% 58.67/58.81 cnf(977,plain,
% 58.67/58.81 (~E(a9,f2(f2(a6,a9,x9771,x9771),a6,x9772,x9773))),
% 58.67/58.81 inference(scs_inference,[],[97,40,38,961,973,976,30,31,29])).
% 58.67/58.81 cnf(980,plain,
% 58.67/58.81 (~P2(a6,f2(a6,a9,x9801,x9802),a6)),
% 58.67/58.81 inference(scs_inference,[],[97,40,38,961,973,976,30,31,29,45])).
% 58.67/58.81 cnf(1001,plain,
% 58.67/58.81 (~P1(a9,f2(f2(a6,a9,x10011,x10011),a6,x10012,x10013),x10014,x10014)),
% 58.67/58.81 inference(scs_inference,[],[977,45,46])).
% 58.67/58.81 cnf(1182,plain,
% 58.67/58.81 (P1(f2(x11821,x11822,a11,a12),x11822,f2(x11823,x11824,f2(x11825,x11826,a11,a12),x11826),x11824)),
% 58.67/58.81 inference(scs_inference,[],[784,775,47])).
% 58.67/58.81 cnf(1192,plain,
% 58.67/58.81 (P1(f2(x11921,x11922,a1,a10),x11922,f2(x11923,x11924,f2(x11925,x11926,a11,a12),x11926),x11924)),
% 58.67/58.81 inference(scs_inference,[],[626,1182,47])).
% 58.67/58.81 cnf(1311,plain,
% 58.67/58.81 (P1(x13111,x13112,f2(x13113,x13114,x13112,x13111),x13114)),
% 58.67/58.81 inference(scs_inference,[],[38,151,47])).
% 58.67/58.81 cnf(1314,plain,
% 58.67/58.81 (~E(f2(f2(a9,a6,x13141,x13141),a9,x13142,x13143),a6)),
% 58.67/58.81 inference(scs_inference,[],[38,151,904,47,29])).
% 58.67/58.81 cnf(1330,plain,
% 58.67/58.81 (P1(x13301,x13302,x13302,x13301)),
% 58.67/58.81 inference(rename_variables,[],[38])).
% 58.67/58.81 cnf(1332,plain,
% 58.67/58.81 (~E(f2(f2(a9,a8,x13321,x13321),a9,x13322,x13323),a8)),
% 58.67/58.81 inference(scs_inference,[],[38,1330,775,1314,941,46,47,29])).
% 58.67/58.81 cnf(1335,plain,
% 58.67/58.81 (~E(f2(x13351,a14,a10,a1),a13)),
% 58.67/58.81 inference(scs_inference,[],[38,1330,44,775,1311,1314,941,46,47,29,31])).
% 58.67/58.81 cnf(1337,plain,
% 58.67/58.81 (~P2(f2(x13371,a14,a10,a1),a13,f2(x13371,a14,a10,a1))),
% 58.67/58.81 inference(scs_inference,[],[38,1330,44,775,1311,1314,941,46,47,29,31,45])).
% 58.67/58.81 cnf(1350,plain,
% 58.67/58.81 (~E(f2(f2(x13501,a14,a10,a1),a13,x13502,x13503),f2(x13501,a14,a10,a1))),
% 58.67/58.81 inference(scs_inference,[],[1332,39,1337,46,35])).
% 58.67/58.81 cnf(1354,plain,
% 58.67/58.81 (P1(x13541,x13542,x13542,x13541)),
% 58.67/58.81 inference(rename_variables,[],[38])).
% 58.67/58.81 cnf(1356,plain,
% 58.67/58.81 (~E(f2(f2(a6,a9,x13561,x13561),a6,x13562,x13563),a9)),
% 58.67/58.81 inference(scs_inference,[],[38,1354,833,1332,1001,39,1337,46,35,47,29])).
% 58.67/58.81 cnf(1375,plain,
% 58.67/58.81 (~E(f2(a9,f2(a6,a8,x13751,x13752),x13753,x13754),a9)),
% 58.67/58.81 inference(scs_inference,[],[38,501,1335,39,315,46,47,35])).
% 58.67/58.81 cnf(1389,plain,
% 58.67/58.81 (P1(x13891,f2(x13892,x13891,x13893,f2(x13894,x13893,x13895,x13896)),x13895,x13896)),
% 58.67/58.81 inference(scs_inference,[],[38,454,1356,46,47])).
% 58.67/58.81 cnf(1432,plain,
% 58.67/58.81 (~P1(f2(f2(x14321,a14,a10,a1),a13,x14322,x14323),f2(x14321,a14,a10,a1),x14324,x14324)),
% 58.67/58.81 inference(scs_inference,[],[1350,46])).
% 58.67/58.81 cnf(1452,plain,
% 58.67/58.81 (P1(x14521,x14522,x14522,x14521)),
% 58.67/58.81 inference(rename_variables,[],[38])).
% 58.67/58.81 cnf(1454,plain,
% 58.67/58.81 (~E(f2(a9,f2(a9,a6,x14541,x14542),x14543,x14544),a9)),
% 58.67/58.81 inference(scs_inference,[],[38,889,39,1375,859,46,47,35])).
% 58.67/58.81 cnf(1456,plain,
% 58.67/58.81 (~E(f2(x14561,a14,a10,a1),f2(f2(x14561,a14,a10,a1),a13,x14562,x14563))),
% 58.67/58.81 inference(scs_inference,[],[38,1452,889,1432,39,1375,859,46,47,35,29])).
% 58.67/58.81 cnf(1458,plain,
% 58.67/58.81 (~P1(f2(f2(x14581,a14,a10,a1),a13,x14582,x14583),f2(x14581,a14,a10,a1),x14584,x14584)),
% 58.67/58.81 inference(rename_variables,[],[1432])).
% 58.67/58.81 cnf(1459,plain,
% 58.67/58.81 (~E(a13,f2(x14591,a14,a10,a1))),
% 58.67/58.81 inference(scs_inference,[],[38,1452,97,889,1432,1458,39,1375,859,46,47,35,29,30])).
% 58.67/58.81 cnf(1473,plain,
% 58.67/58.81 (~P2(a13,f2(x14731,a14,a10,a1),a13)),
% 58.67/58.81 inference(scs_inference,[],[1456,1459,46,45])).
% 58.67/58.81 cnf(1536,plain,
% 58.67/58.81 (~E(f2(a9,f2(a9,a8,x15361,x15362),x15363,x15364),a9)),
% 58.67/58.81 inference(scs_inference,[],[39,1454,918,46,35])).
% 58.67/58.81 cnf(1556,plain,
% 58.67/58.81 (~E(f2(a6,f2(a6,a9,x15561,x15562),x15563,x15564),a6)),
% 58.67/58.81 inference(scs_inference,[],[38,637,39,1536,980,46,47,35])).
% 58.67/58.81 cnf(1572,plain,
% 58.67/58.81 (~E(f2(a13,f2(x15721,a14,a1,a10),x15722,x15723),a13)),
% 58.67/58.81 inference(scs_inference,[],[38,648,39,1556,314,46,47,35])).
% 58.67/58.81 cnf(1584,plain,
% 58.67/58.81 (~E(f2(a1,f2(x15841,a10,a13,a14),x15842,x15843),a1)),
% 58.67/58.81 inference(scs_inference,[],[39,1572,523,46,35])).
% 58.67/58.81 cnf(1604,plain,
% 58.67/58.81 (~E(f2(a13,f2(x16041,a14,a10,a1),x16042,x16043),a13)),
% 58.67/58.81 inference(scs_inference,[],[38,1192,39,1584,1473,46,47,35])).
% 58.67/58.81 cnf(1616,plain,
% 58.67/58.81 (~E(f2(a9,a6,x16161,x16162),a8)),
% 58.67/58.81 inference(scs_inference,[],[39,1604,43,46,35])).
% 58.67/58.81 cnf(1618,plain,
% 58.67/58.81 (~P2(f2(a9,a6,x16181,x16182),a8,f2(a9,a6,x16181,x16182))),
% 58.67/58.81 inference(scs_inference,[],[39,1604,43,46,35,45])).
% 58.67/58.81 cnf(1631,plain,
% 58.67/58.81 (~E(f2(f2(a9,a6,x16311,x16312),a8,x16313,x16314),f2(a9,a6,x16311,x16312))),
% 58.67/58.81 inference(scs_inference,[],[39,1618,1616,46,35])).
% 58.67/58.81 cnf(1641,plain,
% 58.67/58.81 (~P1(f2(f2(a9,a6,x16411,x16412),a8,x16413,x16414),f2(a9,a6,x16411,x16412),x16415,x16415)),
% 58.67/58.81 inference(scs_inference,[],[1631,46])).
% 58.67/58.81 cnf(1653,plain,
% 58.67/58.81 (~P1(f2(f2(a9,a6,x16531,x16532),a8,x16533,x16534),f2(a9,a6,x16531,x16532),x16535,x16535)),
% 58.67/58.81 inference(rename_variables,[],[1641])).
% 58.67/58.81 cnf(1654,plain,
% 58.67/58.81 (~E(a8,f2(a9,a6,x16541,x16542))),
% 58.67/58.81 inference(scs_inference,[],[38,97,1641,1653,29,30])).
% 58.67/58.81 cnf(1657,plain,
% 58.67/58.81 (~P1(f2(a9,a6,x16571,x16572),f2(f2(a9,a6,x16571,x16572),a8,x16573,x16574),x16575,x16575)),
% 58.67/58.81 inference(scs_inference,[],[38,97,1641,1653,29,30,46])).
% 58.67/58.81 cnf(1672,plain,
% 58.67/58.81 (~E(a6,f2(f2(a9,a6,x16721,x16721),a8,x16722,x16723))),
% 58.67/58.81 inference(scs_inference,[],[97,1654,1657,46,45,30])).
% 58.67/58.81 cnf(1685,plain,
% 58.67/58.81 (~P1(a6,f2(f2(a9,a6,x16851,x16851),a8,x16852,x16853),x16854,x16854)),
% 58.67/58.81 inference(scs_inference,[],[1672,46])).
% 58.67/58.81 cnf(1705,plain,
% 58.67/58.81 (~P2(a8,a6,a8)),
% 58.67/58.81 inference(scs_inference,[],[1389,1685,29,46,45])).
% 58.67/58.81 cnf(1716,plain,
% 58.67/58.81 (~E(f2(a8,a6,x17161,x17162),a8)),
% 58.67/58.81 inference(scs_inference,[],[39,1705,35])).
% 58.67/58.81 cnf(2048,plain,
% 58.67/58.81 (P1(f2(x20481,x20482,a11,a12),x20482,f2(x20483,x20484,a13,a14),x20484)),
% 58.67/58.81 inference(scs_inference,[],[833,97,47])).
% 58.67/58.81 cnf(2732,plain,
% 58.67/58.81 (P1(f2(x27321,x27322,a1,a10),x27322,f2(x27323,x27324,a13,a14),x27324)),
% 58.67/58.81 inference(scs_inference,[],[626,2048,47])).
% 58.67/58.81 cnf(3202,plain,
% 58.67/58.81 (P1(f2(x32021,x32022,f2(x32023,x32024,a1,a10),x32024),x32022,f2(x32025,x32026,a13,a14),x32026)),
% 58.67/58.81 inference(scs_inference,[],[151,2732,47])).
% 58.67/58.81 cnf(3348,plain,
% 58.67/58.81 (~E(f2(x33481,a14,a13,a14),a13)),
% 58.67/58.81 inference(scs_inference,[],[44,501,3202,47,31])).
% 58.67/58.81 cnf(3738,plain,
% 58.67/58.81 (E(f2(x37381,x37382,x37383,x37383),x37382)),
% 58.67/58.81 inference(scs_inference,[],[3348,97,2,46])).
% 58.67/58.81 cnf(3741,plain,
% 58.67/58.81 (~E(f2(x37411,a14,a13,a14),f2(x37412,a13,x37413,x37413))),
% 58.67/58.81 inference(scs_inference,[],[3348,97,2,46,3])).
% 58.67/58.81 cnf(3742,plain,
% 58.67/58.81 (~P2(f2(x37421,a13,x37422,x37422),f2(x37423,a14,a1,a10),a13)),
% 58.67/58.81 inference(scs_inference,[],[3348,314,97,2,46,3,33])).
% 58.67/58.81 cnf(3776,plain,
% 58.67/58.81 (E(f2(x37761,x37762,x37763,x37763),x37762)),
% 58.67/58.81 inference(rename_variables,[],[3738])).
% 58.67/58.81 cnf(3780,plain,
% 58.67/58.81 ($false),
% 58.67/58.81 inference(scs_inference,[],[44,3738,3776,3741,3742,1716,303,40,37,2,46,3,35,47]),
% 58.67/58.81 ['proof']).
% 58.67/58.81 % SZS output end Proof
% 58.67/58.81 % Total time :58.100000s
%------------------------------------------------------------------------------