%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO018-2 : 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 : n026.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 06:03:19 EDT 2024
% Result : Unsatisfiable 58.72s 58.71s
% Output : CNFRefutation 58.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : GEO018-2 : 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
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Jun 21 09:56:54 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.43/0.61 start to proof:theBenchmark
% 58.66/58.71 %-------------------------------------------
% 58.66/58.71 % File :CSE---1.7
% 58.66/58.71 % Problem :theBenchmark
% 58.66/58.71 % Transform :cnf
% 58.66/58.71 % Format :tptp:raw
% 58.66/58.71 % Command :java -jar mcs_scs.jar %d %s
% 58.66/58.71
% 58.66/58.71 % Result :Theorem 58.070000s
% 58.66/58.71 % Output :CNFRefutation 58.070000s
% 58.66/58.71 %-------------------------------------------
% 58.72/58.71 %--------------------------------------------------------------------------
% 58.72/58.71 % File : GEO018-2 : TPTP v8.2.0. Released v1.0.0.
% 58.72/58.71 % Domain : Geometry
% 58.72/58.71 % Problem : Corollary 2 to symmetries of equidistance
% 58.72/58.71 % Version : [Qua89] axioms.
% 58.72/58.71 % English : Show that if the distance from A to B equals the distance
% 58.72/58.71 % from C to D, then the distance from B to A equals the
% 58.72/58.71 % distance from D to C.
% 58.72/58.71
% 58.72/58.71 % Refs : [SST83] Schwabbauser et al. (1983), Metamathematische Methoden
% 58.72/58.71 % : [Qua89] Quaife (1989), Automated Development of Tarski's Geome
% 58.72/58.71 % Source : [TPTP]
% 58.72/58.71 % Names :
% 58.72/58.71
% 58.72/58.71 % Status : Unsatisfiable
% 58.72/58.71 % 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 v6.4.0, 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 v3.7.0, 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
% 58.72/58.71 % Syntax : Number of clauses : 20 ( 8 unt; 5 nHn; 17 RR)
% 58.72/58.71 % Number of literals : 58 ( 7 equ; 35 neg)
% 58.72/58.71 % Maximal clause size : 8 ( 2 avg)
% 58.72/58.71 % Maximal term depth : 2 ( 1 avg)
% 58.72/58.71 % Number of predicates : 3 ( 2 usr; 0 prp; 2-4 aty)
% 58.72/58.71 % Number of functors : 12 ( 12 usr; 7 con; 0-6 aty)
% 58.72/58.71 % Number of variables : 71 ( 3 sgn)
% 58.72/58.71 % SPC : CNF_UNS_RFO_SEQ_NHN
% 58.72/58.71
% 58.72/58.71 % Comments : Proving corollaries from axioms is not usual.
% 58.72/58.71 %--------------------------------------------------------------------------
% 58.72/58.71 %----Include Tarski geometry axioms
% 58.72/58.71 include('Axioms/GEO002-0.ax').
% 58.72/58.71 %--------------------------------------------------------------------------
% 58.72/58.71 cnf(u_to_v_equals_w_to_x,hypothesis,
% 58.72/58.71 equidistant(u,v,w,x) ).
% 58.72/58.71
% 58.72/58.71 cnf(prove_symmetry,negated_conjecture,
% 58.72/58.71 ~ equidistant(v,u,x,w) ).
% 58.72/58.71
% 58.72/58.71 %--------------------------------------------------------------------------
% 58.72/58.71 %-------------------------------------------
% 58.72/58.71 % Proof found
% 58.72/58.71 % SZS status Theorem for theBenchmark
% 58.72/58.71 % SZS output start Proof
% 58.72/58.72 %ClaNum:55(EqnAxiom:35)
% 58.72/58.72 %VarNum:211(SingletonVarNum:71)
% 58.72/58.72 %MaxLitNum:8
% 58.72/58.72 %MaxfuncDepth:1
% 58.72/58.72 %SharedTerms:12
% 58.72/58.72 %goalClause: 43
% 58.72/58.72 %singleGoalClaCount:1
% 58.72/58.72 [36]P1(a1,a10,a11,a12)
% 58.72/58.72 [40]~P2(a6,a8,a9)
% 58.72/58.72 [41]~P2(a8,a9,a6)
% 58.72/58.72 [42]~P2(a9,a6,a8)
% 58.72/58.72 [43]~P1(a10,a1,a12,a11)
% 58.72/58.72 [37]P1(x371,x372,x372,x371)
% 58.72/58.72 [38]P2(x381,x382,f2(x381,x382,x383,x384))
% 58.72/58.72 [39]P1(x391,f2(x392,x391,x393,x394),x393,x394)
% 58.72/58.72 [44]~P2(x441,x442,x441)+E(x441,x442)
% 58.72/58.72 [45]~P1(x451,x452,x453,x453)+E(x451,x452)
% 58.72/58.72 [49]~P2(x495,x491,x494)+~P2(x492,x493,x494)+P2(x491,f7(x492,x493,x494,x491,x495),x492)
% 58.72/58.72 [50]~P2(x505,x504,x503)+~P2(x502,x501,x503)+P2(x501,f7(x502,x501,x503,x504,x505),x505)
% 58.72/58.72 [46]~P1(x465,x466,x461,x462)+P1(x461,x462,x463,x464)+~P1(x465,x466,x463,x464)
% 58.72/58.72 [51]~P2(x514,x512,x513)+~P2(x511,x512,x515)+E(x511,x512)+P2(x511,x513,f3(x511,x514,x512,x513,x515))
% 58.72/58.72 [52]~P2(x523,x522,x524)+~P2(x521,x522,x525)+E(x521,x522)+P2(x521,x523,f4(x521,x523,x522,x524,x525))
% 58.72/58.72 [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))
% 58.72/58.72 [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)
% 58.72/58.72 [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))
% 58.72/58.72 [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)
% 58.72/58.72 [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)
% 58.72/58.72 %EqnAxiom
% 58.72/58.72 [1]E(x11,x11)
% 58.72/58.72 [2]E(x22,x21)+~E(x21,x22)
% 58.72/58.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.72/58.72 [4]~E(x41,x42)+E(f2(x41,x43,x44,x45),f2(x42,x43,x44,x45))
% 58.72/58.72 [5]~E(x51,x52)+E(f2(x53,x51,x54,x55),f2(x53,x52,x54,x55))
% 58.72/58.72 [6]~E(x61,x62)+E(f2(x63,x64,x61,x65),f2(x63,x64,x62,x65))
% 58.72/58.72 [7]~E(x71,x72)+E(f2(x73,x74,x75,x71),f2(x73,x74,x75,x72))
% 58.72/58.72 [8]~E(x81,x82)+E(f5(x81,x83,x84,x85,x86,x87),f5(x82,x83,x84,x85,x86,x87))
% 58.72/58.72 [9]~E(x91,x92)+E(f5(x93,x91,x94,x95,x96,x97),f5(x93,x92,x94,x95,x96,x97))
% 58.72/58.72 [10]~E(x101,x102)+E(f5(x103,x104,x101,x105,x106,x107),f5(x103,x104,x102,x105,x106,x107))
% 58.72/58.72 [11]~E(x111,x112)+E(f5(x113,x114,x115,x111,x116,x117),f5(x113,x114,x115,x112,x116,x117))
% 58.72/58.72 [12]~E(x121,x122)+E(f5(x123,x124,x125,x126,x121,x127),f5(x123,x124,x125,x126,x122,x127))
% 58.72/58.72 [13]~E(x131,x132)+E(f5(x133,x134,x135,x136,x137,x131),f5(x133,x134,x135,x136,x137,x132))
% 58.72/58.72 [14]~E(x141,x142)+E(f7(x141,x143,x144,x145,x146),f7(x142,x143,x144,x145,x146))
% 58.72/58.72 [15]~E(x151,x152)+E(f7(x153,x151,x154,x155,x156),f7(x153,x152,x154,x155,x156))
% 58.72/58.72 [16]~E(x161,x162)+E(f7(x163,x164,x161,x165,x166),f7(x163,x164,x162,x165,x166))
% 58.72/58.72 [17]~E(x171,x172)+E(f7(x173,x174,x175,x171,x176),f7(x173,x174,x175,x172,x176))
% 58.72/58.72 [18]~E(x181,x182)+E(f7(x183,x184,x185,x186,x181),f7(x183,x184,x185,x186,x182))
% 58.72/58.72 [19]~E(x191,x192)+E(f3(x191,x193,x194,x195,x196),f3(x192,x193,x194,x195,x196))
% 58.72/58.72 [20]~E(x201,x202)+E(f3(x203,x201,x204,x205,x206),f3(x203,x202,x204,x205,x206))
% 58.72/58.72 [21]~E(x211,x212)+E(f3(x213,x214,x211,x215,x216),f3(x213,x214,x212,x215,x216))
% 58.72/58.72 [22]~E(x221,x222)+E(f3(x223,x224,x225,x221,x226),f3(x223,x224,x225,x222,x226))
% 58.72/58.72 [23]~E(x231,x232)+E(f3(x233,x234,x235,x236,x231),f3(x233,x234,x235,x236,x232))
% 58.72/58.72 [24]~E(x241,x242)+E(f4(x241,x243,x244,x245,x246),f4(x242,x243,x244,x245,x246))
% 58.72/58.72 [25]~E(x251,x252)+E(f4(x253,x251,x254,x255,x256),f4(x253,x252,x254,x255,x256))
% 58.72/58.72 [26]~E(x261,x262)+E(f4(x263,x264,x261,x265,x266),f4(x263,x264,x262,x265,x266))
% 58.72/58.72 [27]~E(x271,x272)+E(f4(x273,x274,x275,x271,x276),f4(x273,x274,x275,x272,x276))
% 58.72/58.72 [28]~E(x281,x282)+E(f4(x283,x284,x285,x286,x281),f4(x283,x284,x285,x286,x282))
% 58.72/58.72 [29]P1(x292,x293,x294,x295)+~E(x291,x292)+~P1(x291,x293,x294,x295)
% 58.72/58.72 [30]P1(x303,x302,x304,x305)+~E(x301,x302)+~P1(x303,x301,x304,x305)
% 58.72/58.72 [31]P1(x313,x314,x312,x315)+~E(x311,x312)+~P1(x313,x314,x311,x315)
% 58.72/58.72 [32]P1(x323,x324,x325,x322)+~E(x321,x322)+~P1(x323,x324,x325,x321)
% 58.72/58.72 [33]P2(x332,x333,x334)+~E(x331,x332)+~P2(x331,x333,x334)
% 58.72/58.72 [34]P2(x343,x342,x344)+~E(x341,x342)+~P2(x343,x341,x344)
% 58.72/58.72 [35]P2(x353,x354,x352)+~E(x351,x352)+~P2(x353,x354,x351)
% 58.72/58.72
% 58.72/58.72 %-------------------------------------------
% 58.72/58.73 cnf(60,plain,
% 58.72/58.73 (~E(f2(a6,a8,x601,x602),a9)),
% 58.72/58.73 inference(scs_inference,[],[43,36,39,38,40,46,30,35])).
% 58.72/58.73 cnf(62,plain,
% 58.72/58.73 (~P1(f2(x621,a10,a12,a11),a1,x622,x622)),
% 58.72/58.73 inference(scs_inference,[],[43,36,39,38,40,46,30,35,45])).
% 58.72/58.73 cnf(64,plain,
% 58.72/58.73 (~P2(f2(x641,a10,a12,a11),a1,f2(x641,a10,a12,a11))),
% 58.72/58.73 inference(scs_inference,[],[43,36,39,38,40,46,30,35,45,44])).
% 58.72/58.73 cnf(67,plain,
% 58.72/58.73 (~E(a1,f2(x671,a10,a12,a11))),
% 58.72/58.73 inference(scs_inference,[],[43,36,37,39,38,40,46,30,35,45,44,29,31])).
% 58.72/58.73 cnf(80,plain,
% 58.72/58.73 (P1(f2(x801,x802,x803,x804),x802,x803,x804)),
% 58.72/58.73 inference(scs_inference,[],[67,37,39,44,45,46])).
% 58.72/58.73 cnf(84,plain,
% 58.72/58.73 (~E(f2(x841,a1,a12,a11),a10)),
% 58.72/58.73 inference(scs_inference,[],[43,67,37,39,44,45,46,29])).
% 58.72/58.73 cnf(85,plain,
% 58.72/58.73 (~E(f2(f2(x851,a10,a12,a11),a1,x852,x853),f2(x851,a10,a12,a11))),
% 58.72/58.73 inference(scs_inference,[],[43,67,37,39,64,38,44,45,46,29,35])).
% 58.72/58.73 cnf(95,plain,
% 58.72/58.73 (~P2(f2(x951,a1,a12,a11),a10,f2(x951,a1,a12,a11))),
% 58.72/58.73 inference(scs_inference,[],[84,44])).
% 58.72/58.73 cnf(99,plain,
% 58.72/58.73 (P1(x991,x992,x991,x992)),
% 58.72/58.73 inference(scs_inference,[],[80,84,44,45,46])).
% 58.72/58.73 cnf(108,plain,
% 58.72/58.73 (~P2(f2(a6,a8,x1081,x1082),a9,f2(a6,a8,x1081,x1082))),
% 58.72/58.73 inference(scs_inference,[],[60,44])).
% 58.72/58.73 cnf(110,plain,
% 58.72/58.73 (~P1(f2(f2(x1101,a10,a12,a11),a1,x1102,x1103),f2(x1101,a10,a12,a11),x1104,x1104)),
% 58.72/58.73 inference(scs_inference,[],[85,60,44,45])).
% 58.72/58.73 cnf(112,plain,
% 58.72/58.73 (P1(x1121,x1122,f2(x1123,x1124,x1121,x1122),x1124)),
% 58.72/58.73 inference(scs_inference,[],[80,99,85,60,44,45,46])).
% 58.72/58.73 cnf(115,plain,
% 58.72/58.73 (~E(f2(f2(x1151,a1,a12,a11),a10,x1152,x1153),f2(x1151,a1,a12,a11))),
% 58.72/58.73 inference(scs_inference,[],[80,99,85,95,60,38,44,45,46,35])).
% 58.72/58.73 cnf(117,plain,
% 58.72/58.73 (~E(x1171,f2(x1172,x1171,f2(x1173,a10,a12,a11),a1))),
% 58.72/58.73 inference(scs_inference,[],[80,99,62,85,95,60,38,44,45,46,35,32])).
% 58.72/58.73 cnf(129,plain,
% 58.72/58.73 (~P1(x1291,f2(x1292,x1291,f2(x1293,a10,a12,a11),a1),x1294,x1294)),
% 58.72/58.73 inference(scs_inference,[],[117,44,45])).
% 58.72/58.73 cnf(131,plain,
% 58.72/58.73 (~E(f2(x1311,a11,a10,a1),a12)),
% 58.72/58.73 inference(scs_inference,[],[43,112,117,44,45,31])).
% 58.72/58.73 cnf(132,plain,
% 58.72/58.73 (P1(x1321,x1322,f2(x1323,x1324,x1321,x1322),x1324)),
% 58.72/58.73 inference(rename_variables,[],[112])).
% 58.72/58.73 cnf(133,plain,
% 58.72/58.73 (P1(x1331,x1332,f2(x1333,x1334,f2(x1335,x1336,x1331,x1332),x1336),x1334)),
% 58.72/58.73 inference(scs_inference,[],[43,80,112,132,117,44,45,31,46])).
% 58.72/58.73 cnf(136,plain,
% 58.72/58.73 (~E(f2(f2(a6,a8,x1361,x1362),a9,x1363,x1364),f2(a6,a8,x1361,x1362))),
% 58.72/58.73 inference(scs_inference,[],[43,80,112,132,117,108,38,44,45,31,46,35])).
% 58.72/58.73 cnf(138,plain,
% 58.72/58.73 (~E(f2(x1381,a10,a12,a11),f2(f2(x1381,a10,a12,a11),a1,x1382,x1383))),
% 58.72/58.73 inference(scs_inference,[],[43,80,112,132,117,99,110,108,38,44,45,31,46,35,29])).
% 58.72/58.73 cnf(153,plain,
% 58.72/58.73 (P1(x1531,x1532,x1533,f2(x1534,x1533,x1531,x1532))),
% 58.72/58.73 inference(scs_inference,[],[80,138,37,44,45,46])).
% 58.72/58.73 cnf(158,plain,
% 58.72/58.73 (~P1(x1581,f2(x1582,x1581,f2(x1583,a10,a12,a11),a1),x1584,x1584)),
% 58.72/58.73 inference(rename_variables,[],[129])).
% 58.72/58.73 cnf(161,plain,
% 58.72/58.73 (~E(x1611,f2(x1612,f2(x1613,x1611,x1614,x1614),f2(x1615,a10,a12,a11),a1))),
% 58.72/58.73 inference(scs_inference,[],[43,80,133,138,99,37,129,158,44,45,46,32,31,30])).
% 58.72/58.73 cnf(174,plain,
% 58.72/58.73 (P1(x1741,x1742,x1743,f2(x1744,x1743,f2(x1745,x1746,x1741,x1742),x1746))),
% 58.72/58.73 inference(scs_inference,[],[80,153,161,44,45,46])).
% 58.72/58.73 cnf(175,plain,
% 58.72/58.73 (P1(x1751,x1752,x1753,f2(x1754,x1753,x1751,x1752))),
% 58.72/58.73 inference(rename_variables,[],[153])).
% 58.72/58.73 cnf(177,plain,
% 58.72/58.73 (~E(f2(x1771,a12,a10,a1),a11)),
% 58.72/58.73 inference(scs_inference,[],[43,80,153,175,161,44,45,46,32])).
% 58.72/58.73 cnf(186,plain,
% 58.72/58.73 (~P2(f2(x1861,a11,a10,a1),a12,f2(x1861,a11,a10,a1))),
% 58.72/58.73 inference(scs_inference,[],[131,44])).
% 58.72/58.73 cnf(204,plain,
% 58.72/58.73 (~P2(f2(x2041,a12,a10,a1),a11,f2(x2041,a12,a10,a1))),
% 58.72/58.73 inference(scs_inference,[],[177,44])).
% 58.72/58.73 cnf(257,plain,
% 58.72/58.73 (~P1(f2(a6,a8,x2571,x2572),a9,x2573,x2573)),
% 58.72/58.73 inference(scs_inference,[],[60,45])).
% 58.72/58.73 cnf(259,plain,
% 58.72/58.73 (P1(a11,a12,f2(x2591,x2592,a1,a10),x2592)),
% 58.72/58.73 inference(scs_inference,[],[36,112,60,45,46])).
% 58.72/58.73 cnf(271,plain,
% 58.72/58.73 (~P1(f2(f2(a6,a8,x2711,x2712),a9,x2713,x2714),f2(a6,a8,x2711,x2712),x2715,x2715)),
% 58.72/58.73 inference(scs_inference,[],[136,45])).
% 58.72/58.73 cnf(276,plain,
% 58.72/58.73 (~E(a8,a9)),
% 58.72/58.73 inference(scs_inference,[],[36,80,99,257,136,45,46,30])).
% 58.72/58.73 cnf(279,plain,
% 58.72/58.73 (~P2(a8,a9,a8)),
% 58.72/58.73 inference(scs_inference,[],[36,80,99,257,136,45,46,30,44])).
% 58.72/58.73 cnf(286,plain,
% 58.72/58.73 (~P1(a8,a9,x2861,x2861)),
% 58.72/58.73 inference(scs_inference,[],[276,45])).
% 58.72/58.73 cnf(290,plain,
% 58.72/58.73 (P1(a11,a12,x2901,f2(x2902,x2901,a1,a10))),
% 58.72/58.73 inference(scs_inference,[],[36,153,276,38,186,45,35,46])).
% 58.72/58.73 cnf(293,plain,
% 58.72/58.73 (~E(f2(a6,a8,x2931,x2932),f2(f2(a6,a8,x2931,x2932),a9,x2933,x2934))),
% 58.72/58.73 inference(scs_inference,[],[36,153,276,37,271,38,186,45,35,46,31])).
% 58.72/58.73 cnf(295,plain,
% 58.72/58.73 (~P1(f2(f2(a6,a8,x2951,x2952),a9,x2953,x2954),f2(a6,a8,x2951,x2952),x2955,x2955)),
% 58.72/58.73 inference(rename_variables,[],[271])).
% 58.72/58.73 cnf(296,plain,
% 58.72/58.73 (~E(a8,f2(f2(a6,a8,x2961,x2961),a9,x2962,x2963))),
% 58.72/58.73 inference(scs_inference,[],[36,153,276,37,39,271,295,38,186,45,35,46,31,29])).
% 58.72/58.73 cnf(298,plain,
% 58.72/58.73 (~P1(f2(f2(a6,a8,x2981,x2982),a9,x2983,x2984),f2(a6,a8,x2981,x2982),x2985,x2985)),
% 58.72/58.73 inference(rename_variables,[],[271])).
% 58.72/58.73 cnf(299,plain,
% 58.72/58.73 (~E(a9,f2(a6,a8,x2991,x2992))),
% 58.72/58.73 inference(scs_inference,[],[36,80,153,276,37,39,271,295,298,38,186,45,35,46,31,29,30])).
% 58.72/58.73 cnf(313,plain,
% 58.72/58.73 (~E(f2(a8,a9,x3131,x3132),a8)),
% 58.72/58.73 inference(scs_inference,[],[293,38,279,44,45,35])).
% 58.72/58.73 cnf(315,plain,
% 58.72/58.73 (P1(a11,a12,f2(x3151,x3152,f2(x3153,x3154,a1,a10),x3154),x3152)),
% 58.72/58.73 inference(scs_inference,[],[36,133,293,38,279,44,45,35,46])).
% 58.72/58.73 cnf(327,plain,
% 58.72/58.73 (~P1(a8,f2(f2(a6,a8,x3271,x3271),a9,x3272,x3273),x3274,x3274)),
% 58.72/58.73 inference(scs_inference,[],[296,299,44,45])).
% 58.72/58.73 cnf(329,plain,
% 58.72/58.73 (P1(a11,a12,x3291,f2(x3292,x3291,f2(x3293,x3294,a1,a10),x3294))),
% 58.72/58.73 inference(scs_inference,[],[36,174,296,299,44,45,46])).
% 58.72/58.73 cnf(339,plain,
% 58.72/58.73 (~P2(f2(a8,a9,x3391,x3392),a8,f2(a8,a9,x3391,x3392))),
% 58.72/58.73 inference(scs_inference,[],[313,44])).
% 58.72/58.73 cnf(343,plain,
% 58.72/58.73 (~E(f2(f2(x3431,a12,a10,a1),a11,x3432,x3433),f2(x3431,a12,a10,a1))),
% 58.72/58.73 inference(scs_inference,[],[299,38,204,313,44,45,35])).
% 58.72/58.73 cnf(350,plain,
% 58.72/58.73 (~P1(f2(f2(x3501,a1,a12,a11),a10,x3502,x3503),f2(x3501,a1,a12,a11),x3504,x3504)),
% 58.72/58.73 inference(scs_inference,[],[115,45])).
% 58.72/58.73 cnf(352,plain,
% 58.72/58.73 (~E(f2(f2(a8,a9,x3521,x3522),a8,x3523,x3524),f2(a8,a9,x3521,x3522))),
% 58.72/58.73 inference(scs_inference,[],[38,115,339,45,35])).
% 58.72/58.73 cnf(361,plain,
% 58.72/58.73 (~P1(f2(a8,a9,x3611,x3612),a8,x3613,x3613)),
% 58.72/58.73 inference(scs_inference,[],[313,45])).
% 58.72/58.73 cnf(365,plain,
% 58.72/58.73 (~P1(f2(f2(x3651,a1,a12,a11),a10,x3652,x3653),f2(x3651,a1,a12,a11),x3654,x3654)),
% 58.72/58.73 inference(rename_variables,[],[350])).
% 58.72/58.73 cnf(369,plain,
% 58.72/58.73 (~P2(a10,f2(x3691,a1,a12,a11),a10)),
% 58.72/58.73 inference(scs_inference,[],[80,37,350,365,313,45,31,30,44])).
% 58.72/58.73 cnf(406,plain,
% 58.72/58.73 (~P1(f2(f2(a8,a9,x4061,x4062),a8,x4063,x4064),f2(a8,a9,x4061,x4062),x4065,x4065)),
% 58.72/58.73 inference(scs_inference,[],[352,45])).
% 58.72/58.73 cnf(410,plain,
% 58.72/58.73 (~E(a9,a8)),
% 58.72/58.73 inference(scs_inference,[],[80,361,38,352,369,45,35,30])).
% 58.72/58.73 cnf(413,plain,
% 58.72/58.73 (~P2(a9,a8,a9)),
% 58.72/58.73 inference(scs_inference,[],[80,361,38,352,369,45,35,30,44])).
% 58.72/58.73 cnf(419,plain,
% 58.72/58.73 (~P1(a9,a8,x4191,x4191)),
% 58.72/58.73 inference(scs_inference,[],[410,45])).
% 58.72/58.73 cnf(421,plain,
% 58.72/58.73 (~E(f2(a9,a8,x4211,x4212),a9)),
% 58.72/58.73 inference(scs_inference,[],[410,38,413,45,35])).
% 58.72/58.73 cnf(423,plain,
% 58.72/58.73 (~E(f2(a8,a9,x4231,x4232),f2(f2(a8,a9,x4231,x4232),a8,x4233,x4234))),
% 58.72/58.73 inference(scs_inference,[],[410,37,406,38,413,45,35,31])).
% 58.72/58.73 cnf(425,plain,
% 58.72/58.73 (~P1(f2(f2(a8,a9,x4251,x4252),a8,x4253,x4254),f2(a8,a9,x4251,x4252),x4255,x4255)),
% 58.72/58.73 inference(rename_variables,[],[406])).
% 58.72/58.73 cnf(426,plain,
% 58.72/58.73 (~E(a9,f2(f2(a8,a9,x4261,x4261),a8,x4262,x4263))),
% 58.72/58.73 inference(scs_inference,[],[410,37,39,406,425,38,413,45,35,31,29])).
% 58.72/58.73 cnf(428,plain,
% 58.72/58.73 (~P1(f2(f2(a8,a9,x4281,x4282),a8,x4283,x4284),f2(a8,a9,x4281,x4282),x4285,x4285)),
% 58.72/58.73 inference(rename_variables,[],[406])).
% 58.72/58.73 cnf(432,plain,
% 58.72/58.73 (~P2(f2(a9,a8,x4321,x4322),a9,f2(a9,a8,x4321,x4322))),
% 58.72/58.73 inference(scs_inference,[],[80,410,37,39,406,425,428,38,413,45,35,31,29,30,44])).
% 58.72/58.73 cnf(445,plain,
% 58.72/58.73 (~E(f2(f2(a9,a8,x4451,x4452),a9,x4453,x4454),f2(a9,a8,x4451,x4452))),
% 58.72/58.73 inference(scs_inference,[],[423,38,432,44,45,35])).
% 58.72/58.73 cnf(454,plain,
% 58.72/58.73 (~P1(a9,f2(f2(a8,a9,x4541,x4541),a8,x4542,x4543),x4544,x4544)),
% 58.72/58.73 inference(scs_inference,[],[426,44,45])).
% 58.72/58.73 cnf(467,plain,
% 58.72/58.73 (~P1(f2(f2(a9,a8,x4671,x4672),a9,x4673,x4674),f2(a9,a8,x4671,x4672),x4675,x4675)),
% 58.72/58.74 inference(scs_inference,[],[445,45])).
% 58.72/58.74 cnf(476,plain,
% 58.72/58.74 (~P1(f2(f2(a9,a8,x4761,x4762),a9,x4763,x4764),f2(a9,a8,x4761,x4762),x4765,x4765)),
% 58.72/58.74 inference(rename_variables,[],[467])).
% 58.72/58.74 cnf(477,plain,
% 58.72/58.74 (~E(a8,f2(f2(a9,a8,x4771,x4771),a9,x4772,x4773))),
% 58.72/58.74 inference(scs_inference,[],[37,39,467,476,421,45,31,29])).
% 58.72/58.74 cnf(479,plain,
% 58.72/58.74 (~P1(f2(f2(a9,a8,x4791,x4792),a9,x4793,x4794),f2(a9,a8,x4791,x4792),x4795,x4795)),
% 58.72/58.74 inference(rename_variables,[],[467])).
% 58.72/58.74 cnf(480,plain,
% 58.72/58.74 (~E(a9,f2(a9,a8,x4801,x4802))),
% 58.72/58.74 inference(scs_inference,[],[80,37,39,467,476,479,421,45,31,29,30])).
% 58.72/58.74 cnf(503,plain,
% 58.72/58.74 (~P1(a8,f2(f2(a9,a8,x5031,x5031),a9,x5032,x5033),x5034,x5034)),
% 58.72/58.74 inference(scs_inference,[],[477,480,44,45])).
% 58.72/58.74 cnf(532,plain,
% 58.72/58.74 (P1(a11,a12,a10,a1)),
% 58.72/58.74 inference(scs_inference,[],[36,37,343,45,46])).
% 58.72/58.74 cnf(748,plain,
% 58.72/58.74 (~P1(f2(x7481,a1,f2(x7482,x7483,a12,a11),x7483),a10,x7484,x7484)),
% 58.72/58.74 inference(scs_inference,[],[43,112,80,46,29,45])).
% 58.72/58.74 cnf(1085,plain,
% 58.72/58.74 (~E(f2(x10851,a11,a1,a10),a12)),
% 58.72/58.74 inference(scs_inference,[],[43,532,259,46,32,31])).
% 58.72/58.74 cnf(1104,plain,
% 58.72/58.74 (P1(a10,a1,f2(x11041,x11042,f2(x11043,x11044,a1,a10),x11044),x11042)),
% 58.72/58.74 inference(scs_inference,[],[532,315,1085,44,45,46])).
% 58.72/58.74 cnf(1116,plain,
% 58.72/58.74 (P1(a10,a1,x11161,f2(x11162,x11161,f2(x11163,x11164,a1,a10),x11164))),
% 58.72/58.74 inference(scs_inference,[],[43,532,329,1104,31,46])).
% 58.72/58.74 cnf(1120,plain,
% 58.72/58.74 (~E(f2(x11201,a12,f2(x11202,x11203,a1,a10),x11203),a11)),
% 58.72/58.74 inference(scs_inference,[],[43,532,329,1104,31,46,45,32])).
% 58.72/58.74 cnf(1130,plain,
% 58.72/58.74 (P1(a10,a1,x11301,f2(x11302,x11301,a1,a10))),
% 58.72/58.74 inference(scs_inference,[],[532,290,1120,45,46])).
% 58.72/58.74 cnf(1152,plain,
% 58.72/58.74 (P1(f2(x11521,x11522,a10,a1),x11522,x11523,f2(x11524,x11523,f2(x11525,x11526,a1,a10),x11526))),
% 58.72/58.74 inference(scs_inference,[],[112,1116,46])).
% 58.72/58.74 cnf(1165,plain,
% 58.72/58.74 (P1(f2(x11651,x11652,a10,a1),x11652,x11653,f2(x11654,x11653,a1,a10))),
% 58.72/58.74 inference(scs_inference,[],[112,1130,46])).
% 58.72/58.74 cnf(1739,plain,
% 58.72/58.74 (P1(a12,a11,x17391,f2(x17392,x17391,f2(x17393,x17394,a1,a10),x17394))),
% 58.72/58.74 inference(scs_inference,[],[37,329,46])).
% 58.72/58.74 cnf(1757,plain,
% 58.72/58.74 (P1(a12,a11,x17571,f2(x17572,x17571,a1,a10))),
% 58.72/58.74 inference(scs_inference,[],[37,290,46])).
% 58.72/58.74 cnf(1826,plain,
% 58.72/58.74 (P1(x18261,x18262,x18263,f2(x18264,x18263,f2(x18265,x18266,x18262,x18261),x18266))),
% 58.72/58.74 inference(scs_inference,[],[37,174,46])).
% 58.72/58.74 cnf(1829,plain,
% 58.72/58.74 (~E(f2(f2(a6,a8,x18291,x18291),a9,x18292,x18293),a8)),
% 58.72/58.74 inference(scs_inference,[],[37,99,174,327,46,32])).
% 58.72/58.74 cnf(1844,plain,
% 58.72/58.74 (P1(x18441,x18442,f2(x18443,x18444,x18442,x18441),x18444)),
% 58.72/58.74 inference(scs_inference,[],[37,112,1829,45,46])).
% 58.72/58.74 cnf(1847,plain,
% 58.72/58.74 (~E(f2(f2(a8,a9,x18471,x18471),a8,x18472,x18473),a9)),
% 58.72/58.74 inference(scs_inference,[],[37,112,1829,454,45,46,29])).
% 58.72/58.74 cnf(1868,plain,
% 58.72/58.74 (~E(f2(f2(a9,a8,x18681,x18681),a9,x18682,x18683),a8)),
% 58.72/58.74 inference(scs_inference,[],[37,133,1847,503,45,46,29])).
% 58.72/58.74 cnf(1884,plain,
% 58.72/58.74 (P1(x18841,x18842,x18843,f2(x18844,x18843,x18842,x18841))),
% 58.72/58.74 inference(scs_inference,[],[37,153,1868,45,46])).
% 58.72/58.74 cnf(1893,plain,
% 58.72/58.74 (P1(a10,a10,x18931,x18932)+~E(f2(x18933,x18931,a10,a10),x18932)),
% 58.72/58.74 inference(scs_inference,[],[37,153,1757,1868,748,45,46,29,44,31,32])).
% 58.72/58.74 cnf(2292,plain,
% 58.72/58.74 (P1(x22921,f2(x22922,x22921,a1,a10),f2(x22923,x22924,a10,a1),x22924)),
% 58.72/58.74 inference(scs_inference,[],[1165,99,46])).
% 58.72/58.74 cnf(2350,plain,
% 58.72/58.74 (P1(x23501,f2(x23502,x23501,f2(x23503,x23504,a1,a10),x23504),a10,a1)),
% 58.72/58.74 inference(scs_inference,[],[1152,80,46])).
% 58.72/58.74 cnf(2535,plain,
% 58.72/58.74 (P1(x25351,f2(x25352,x25351,a1,a10),x25353,f2(x25354,x25353,a10,a1))),
% 58.72/58.74 inference(scs_inference,[],[1165,37,46])).
% 58.72/58.74 cnf(2626,plain,
% 58.72/58.74 (P1(x26261,f2(x26262,x26261,f2(x26263,x26264,a11,a12),x26264),x26265,f2(x26266,x26265,a1,a10))),
% 58.72/58.74 inference(scs_inference,[],[1826,1757,46])).
% 58.72/58.74 cnf(2973,plain,
% 58.72/58.74 (P1(f2(x29731,x29732,a1,a10),x29732,a10,a1)),
% 58.72/58.74 inference(scs_inference,[],[39,2350,46])).
% 58.72/58.74 cnf(3052,plain,
% 58.72/58.74 (P1(f2(x30521,x30522,a11,a12),x30522,x30523,f2(x30524,x30523,a1,a10))),
% 58.72/58.74 inference(scs_inference,[],[39,2626,46])).
% 58.72/58.74 cnf(3903,plain,
% 58.72/58.74 (~E(x39031,f2(x39032,x39031,f2(x39033,x39034,a9,a8),x39034))),
% 58.72/58.74 inference(scs_inference,[],[1826,286,31])).
% 58.72/58.74 cnf(3905,plain,
% 58.72/58.74 (~P1(a8,a9,x39051,x39051)),
% 58.72/58.74 inference(rename_variables,[],[286])).
% 58.72/58.74 cnf(3911,plain,
% 58.72/58.74 (~P1(x39111,f2(x39112,x39111,a9,a8),x39113,x39113)),
% 58.72/58.74 inference(scs_inference,[],[1826,1844,286,3905,31,32,44,45])).
% 58.72/58.74 cnf(3933,plain,
% 58.72/58.74 (~E(f2(x39331,x39332,a9,a8),x39332)),
% 58.72/58.74 inference(scs_inference,[],[1884,1739,99,3903,3911,44,45,46,29])).
% 58.72/58.74 cnf(3935,plain,
% 58.72/58.74 (~P1(x39351,f2(x39352,x39351,a9,a8),x39353,x39353)),
% 58.72/58.74 inference(rename_variables,[],[3911])).
% 58.72/58.74 cnf(3936,plain,
% 58.72/58.74 (~E(x39361,f2(x39362,x39361,x39363,f2(x39364,x39363,a9,a8)))),
% 58.72/58.74 inference(scs_inference,[],[1884,1739,153,99,3903,3911,3935,44,45,46,29,31])).
% 58.72/58.74 cnf(3953,plain,
% 58.72/58.74 (~P1(x39531,f2(x39532,x39531,x39533,f2(x39534,x39533,a9,a8)),x39535,x39535)),
% 58.72/58.74 inference(scs_inference,[],[3936,44,45])).
% 58.72/58.74 cnf(3976,plain,
% 58.72/58.74 (~P1(f2(x39761,x39762,a9,a8),x39762,x39763,x39763)),
% 58.72/58.74 inference(scs_inference,[],[3933,44,45])).
% 58.72/58.74 cnf(3982,plain,
% 58.72/58.74 (~E(x39821,f2(x39821,x39822,a9,a8))),
% 58.72/58.74 inference(scs_inference,[],[1884,3052,3933,38,44,45,46,33])).
% 58.72/58.74 cnf(3986,plain,
% 58.72/58.74 (~P1(x39861,f2(x39862,x39861,x39863,f2(x39864,x39863,a9,a8)),x39865,x39865)),
% 58.72/58.74 inference(rename_variables,[],[3953])).
% 58.72/58.74 cnf(3987,plain,
% 58.72/58.74 (~E(x39871,f2(x39872,f2(x39873,x39871,x39874,x39874),x39875,f2(x39876,x39875,a9,a8)))),
% 58.72/58.74 inference(scs_inference,[],[1884,3052,99,80,3933,3953,3986,38,44,45,46,33,29,30])).
% 58.72/58.74 cnf(4053,plain,
% 58.72/58.74 (~P1(x40531,f2(x40532,f2(x40533,x40531,x40534,x40534),x40535,f2(x40536,x40535,a9,a8)),x40537,x40537)),
% 58.72/58.74 inference(scs_inference,[],[3987,3982,44,45])).
% 58.72/58.74 cnf(4072,plain,
% 58.72/58.74 (~P1(x40721,f2(x40721,x40722,a9,a8),x40723,x40723)),
% 58.72/58.74 inference(scs_inference,[],[3982,45])).
% 58.72/58.74 cnf(4449,plain,
% 58.72/58.74 (~E(f2(x44491,f2(x44492,x44493,x44494,x44494),x44495,f2(x44496,x44495,a9,a8)),x44493)),
% 58.72/58.74 inference(scs_inference,[],[259,99,37,4053,46,31])).
% 58.72/58.74 cnf(4471,plain,
% 58.72/58.74 (~E(x44711,f2(x44712,f2(x44711,x44713,a9,a8),x44714,x44714))),
% 58.72/58.74 inference(scs_inference,[],[259,80,1884,4449,4072,45,46,30,4])).
% 58.72/58.74 cnf(4505,plain,
% 58.72/58.74 (~P1(x45051,f2(x45052,f2(x45051,x45053,a9,a8),x45054,x45054),x45055,x45055)),
% 58.72/58.74 inference(scs_inference,[],[4471,45])).
% 58.72/58.74 cnf(4522,plain,
% 58.72/58.74 (~P1(x45221,f2(x45222,f2(x45221,x45223,a9,a8),x45224,x45224),x45225,x45225)),
% 58.72/58.74 inference(rename_variables,[],[4505])).
% 58.72/58.74 cnf(4526,plain,
% 58.72/58.74 (~P2(f2(x45261,x45262,a9,a8),x45261,f2(x45261,x45262,a9,a8))),
% 58.72/58.74 inference(scs_inference,[],[259,1844,39,37,4505,4522,46,31,29,44])).
% 58.72/58.74 cnf(4528,plain,
% 58.72/58.74 (~P1(f2(x45281,x45282,a9,a8),x45281,x45283,x45283)),
% 58.72/58.74 inference(scs_inference,[],[259,1844,39,37,4505,4522,46,31,29,44,45])).
% 58.72/58.74 cnf(4623,plain,
% 58.72/58.74 (P1(f2(x46231,x46232,a1,a10),x46232,a12,a11)),
% 58.72/58.74 inference(scs_inference,[],[259,37,46])).
% 58.72/58.74 cnf(4626,plain,
% 58.72/58.74 (~E(f2(x46261,a1,a1,a10),a10)),
% 58.72/58.74 inference(scs_inference,[],[43,259,37,46,29])).
% 58.72/58.74 cnf(4653,plain,
% 58.72/58.74 (E(f2(x46531,x46532,x46533,x46533),x46532)),
% 58.72/58.74 inference(scs_inference,[],[4626,80,2,45])).
% 58.72/58.74 cnf(4656,plain,
% 58.72/58.74 (~E(f2(x46561,a1,a1,a10),f2(x46562,a10,x46563,x46563))),
% 58.72/58.74 inference(scs_inference,[],[4626,80,2,45,3])).
% 58.72/58.74 cnf(4657,plain,
% 58.72/58.74 (~P2(f2(x46571,a10,x46572,x46572),f2(x46573,a1,a12,a11),a10)),
% 58.72/58.74 inference(scs_inference,[],[4626,369,80,2,45,3,33])).
% 58.72/58.74 cnf(4665,plain,
% 58.72/58.74 (~P1(a9,a8,x46651,x46651)),
% 58.72/58.74 inference(rename_variables,[],[419])).
% 58.72/58.74 cnf(4671,plain,
% 58.72/58.74 (~P1(a9,a8,a9,a8)+~P1(a9,a9,a9,f2(a9,a8,a9,a8))),
% 58.72/58.74 inference(scs_inference,[],[43,419,4665,3976,4528,4526,4626,410,2535,2292,369,1884,99,80,38,2,45,3,33,35,34,46,32,29,30,31,48])).
% 58.72/58.74 cnf(4682,plain,
% 58.72/58.74 (E(f2(x46821,x46822,x46823,x46823),x46822)),
% 58.72/58.74 inference(rename_variables,[],[4653])).
% 58.72/58.74 cnf(4691,plain,
% 58.72/58.74 ($false),
% 58.72/58.74 inference(scs_inference,[],[43,4653,4682,4656,4657,4623,2973,99,39,1893,4671,2,45,35,46]),
% 58.72/58.74 ['proof']).
% 58.72/58.74 % SZS output end Proof
% 58.72/58.74 % Total time :58.070000s
%------------------------------------------------------------------------------