TSTP Solution File: SWV365+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV365+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 : Thu Aug 31 21:33:19 EDT 2023
% Result : Theorem 1.94s 2.03s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV365+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 07:07:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 1.94/2.03 %-------------------------------------------
% 1.94/2.03 % File :CSE---1.6
% 1.94/2.03 % Problem :theBenchmark
% 1.94/2.03 % Transform :cnf
% 1.94/2.03 % Format :tptp:raw
% 1.94/2.03 % Command :java -jar mcs_scs.jar %d %s
% 1.94/2.03
% 1.94/2.03 % Result :Theorem 1.390000s
% 1.94/2.03 % Output :CNFRefutation 1.390000s
% 1.94/2.03 %-------------------------------------------
% 1.94/2.03 %------------------------------------------------------------------------------
% 1.94/2.03 % File : SWV365+1 : TPTP v8.1.2. Released v3.3.0.
% 1.94/2.03 % Domain : Software Verification
% 1.94/2.03 % Problem : Priority queue checker: lemma_I_s base
% 1.94/2.03 % Version : [dNP05] axioms.
% 1.94/2.03 % English :
% 1.94/2.03
% 1.94/2.03 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 1.94/2.03 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 1.94/2.03 % Source : [Pis06]
% 1.94/2.03 % Names : cpq_l001 [Pis06]
% 1.94/2.03
% 1.94/2.03 % Status : Theorem
% 1.94/2.03 % Rating : 0.11 v8.1.0, 0.17 v7.5.0, 0.19 v7.4.0, 0.10 v7.3.0, 0.14 v7.1.0, 0.17 v7.0.0, 0.13 v6.4.0, 0.19 v6.3.0, 0.17 v6.2.0, 0.28 v6.1.0, 0.23 v6.0.0, 0.13 v5.5.0, 0.11 v5.4.0, 0.14 v5.3.0, 0.26 v5.2.0, 0.10 v5.0.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.26 v3.3.0
% 1.94/2.03 % Syntax : Number of formulae : 63 ( 24 unt; 0 def)
% 1.94/2.03 % Number of atoms : 129 ( 41 equ)
% 1.94/2.03 % Maximal formula atoms : 4 ( 2 avg)
% 1.94/2.03 % Number of connectives : 82 ( 16 ~; 4 |; 21 &)
% 1.94/2.03 % ( 16 <=>; 25 =>; 0 <=; 0 <~>)
% 1.94/2.03 % Maximal formula depth : 9 ( 5 avg)
% 1.94/2.03 % Maximal term depth : 5 ( 1 avg)
% 1.94/2.03 % Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% 1.94/2.03 % Number of functors : 26 ( 26 usr; 4 con; 0-3 aty)
% 1.94/2.03 % Number of variables : 167 ( 164 !; 3 ?)
% 1.94/2.03 % SPC : FOF_THM_RFO_SEQ
% 1.94/2.03
% 1.94/2.03 % Comments :
% 1.94/2.03 %------------------------------------------------------------------------------
% 1.94/2.03 %----Include the axioms about priority queues and checked priority queues
% 1.94/2.03 include('Axioms/SWV007+0.ax').
% 1.94/2.03 include('Axioms/SWV007+1.ax').
% 1.94/2.03 include('Axioms/SWV007+2.ax').
% 1.94/2.03 include('Axioms/SWV007+3.ax').
% 1.94/2.03 include('Axioms/SWV007+4.ax').
% 1.94/2.03 %------------------------------------------------------------------------------
% 1.94/2.03 %----goal: fof(lemma_I_s, conjecture,
% 1.94/2.03 %---- (! [U,V,W,X,Y] : (i(triple(U,W,X)) = i(triple(V,W,Y))))).
% 1.94/2.03
% 1.94/2.03 %----base:
% 1.94/2.03 fof(l1_co,conjecture,
% 1.94/2.03 ! [U,V,X,Y] : i(triple(U,create_slb,X)) = i(triple(V,create_slb,Y)) ).
% 1.94/2.03
% 1.94/2.03 %------------------------------------------------------------------------------
% 1.94/2.03 %-------------------------------------------
% 1.94/2.03 % Proof found
% 1.94/2.03 % SZS status Theorem for theBenchmark
% 1.94/2.03 % SZS output start Proof
% 1.94/2.04 %ClaNum:162(EqnAxiom:77)
% 1.94/2.04 %VarNum:463(SingletonVarNum:220)
% 1.94/2.04 %MaxLitNum:4
% 1.94/2.04 %MaxfuncDepth:4
% 1.94/2.04 %SharedTerms:15
% 1.94/2.04 %goalClause: 100
% 1.94/2.04 %singleGoalClaCount:1
% 1.94/2.04 [94]~P2(a4)
% 1.94/2.04 [95]~P7(a1)
% 1.94/2.04 [100]~E(f17(f30(a9,a1,a14)),f17(f30(a15,a1,a16)))
% 1.94/2.04 [79]P1(a2,x791)
% 1.94/2.04 [80]P1(x801,x801)
% 1.94/2.04 [81]P9(x811,x811)
% 1.94/2.04 [96]~P4(a4,x961)
% 1.94/2.04 [97]~P6(a1,x971)
% 1.94/2.04 [78]E(f5(a1,x781),a1)
% 1.94/2.04 [98]~P10(a1,x981,x982)
% 1.94/2.04 [82]P2(f6(x821,x822))
% 1.94/2.04 [90]P3(f30(x901,a1,x902))
% 1.94/2.04 [99]~P11(f30(x991,x992,a3))
% 1.94/2.04 [83]E(f22(f6(x831,x832),x832),x831)
% 1.94/2.04 [88]E(f7(f30(x881,a1,x882)),a2)
% 1.94/2.04 [89]E(f17(f30(x891,a1,x892)),a4)
% 1.94/2.04 [91]E(f8(f30(x911,a1,x912)),f30(x911,a1,a3))
% 1.94/2.04 [84]E(f6(f6(x841,x842),x843),f6(f6(x841,x843),x842))
% 1.94/2.04 [85]P7(f24(x851,f23(x852,x853)))
% 1.94/2.04 [86]E(f28(f24(x861,f23(x862,x863)),x862),x861)
% 1.94/2.04 [87]E(f26(f24(x871,f23(x872,x873)),x872),x873)
% 1.94/2.04 [92]E(f30(f25(x921,x922),f24(x923,f23(x922,a2)),x924),f21(f30(x921,x923,x924),x922))
% 1.94/2.04 [93]E(f17(f30(x931,f24(x932,f23(x933,x934)),x935)),f6(f17(f30(x931,x932,x935)),x933))
% 1.94/2.04 [101]~P12(x1011)+P3(f10(x1011))
% 1.94/2.04 [102]~P12(x1021)+P11(f10(x1021))
% 1.94/2.04 [103]~P12(x1031)+P9(x1031,f10(x1031))
% 1.94/2.04 [105]~P14(x1051)+P13(f17(x1051),f11(x1051))
% 1.94/2.04 [106]~P15(x1061)+P13(f17(x1061),f13(x1061))
% 1.94/2.04 [104]P1(x1042,x1041)+P1(x1041,x1042)
% 1.94/2.04 [109]~P17(x1091,x1092)+P1(x1091,x1092)
% 1.94/2.04 [110]~P18(x1101,x1102)+P4(x1101,x1102)
% 1.94/2.04 [111]~P13(x1111,x1112)+P4(x1111,x1112)
% 1.94/2.04 [112]~P19(x1121,x1122)+P4(x1121,x1122)
% 1.94/2.04 [113]~P13(x1131,x1132)+P8(x1131,x1132)
% 1.94/2.04 [114]~P19(x1141,x1142)+P8(x1141,x1142)
% 1.94/2.04 [115]~P4(x1151,x1152)+P18(x1151,x1152)
% 1.94/2.04 [120]~P17(x1202,x1201)+~P1(x1201,x1202)
% 1.94/2.04 [107]P14(x1071)+~P13(f17(x1071),x1072)
% 1.94/2.04 [108]P15(x1081)+~P13(f17(x1081),x1082)
% 1.94/2.04 [117]~P9(x1171,x1172)+P9(x1171,f8(x1172))
% 1.94/2.04 [118]~P16(x1181,x1182)+P18(f17(x1181),x1182)
% 1.94/2.04 [121]P16(x1211,x1212)+~P18(f17(x1211),x1212)
% 1.94/2.04 [123]P8(x1231,x1232)+P4(x1231,f12(x1231,x1232))
% 1.94/2.04 [135]P8(x1351,x1352)+~P1(x1352,f12(x1351,x1352))
% 1.94/2.04 [137]~P9(x1371,x1372)+P9(x1371,f27(f8(x1372),f7(x1372)))
% 1.94/2.04 [119]~E(x1192,x1193)+P4(f6(x1191,x1192),x1193)
% 1.94/2.04 [131]~P9(x1311,x1312)+P9(x1311,f21(x1312,x1313))
% 1.94/2.04 [132]~P9(x1321,x1322)+P9(x1321,f27(x1322,x1323))
% 1.94/2.04 [133]~P4(x1331,x1333)+P4(f6(x1331,x1332),x1333)
% 1.94/2.04 [140]E(x1401,a3)+P11(f30(x1402,x1403,x1401))
% 1.94/2.04 [142]E(x1421,a1)+E(f7(f30(x1422,x1421,x1423)),f20(x1422))
% 1.94/2.04 [145]~P6(x1452,x1454)+P5(f30(x1451,x1452,x1453),x1454)
% 1.94/2.04 [151]P6(x1511,x1512)+~P5(f30(x1513,x1511,x1514),x1512)
% 1.94/2.04 [138]~E(x1382,x1384)+P6(f24(x1381,f23(x1382,x1383)),x1384)
% 1.94/2.04 [141]~P6(x1411,x1414)+P6(f24(x1411,f23(x1412,x1413)),x1414)
% 1.94/2.04 [150]P6(x1502,x1504)+E(f27(f30(x1501,x1502,x1503),x1504),f30(x1501,x1502,a3))
% 1.94/2.04 [147]~P1(x1472,x1474)+E(f24(f5(x1471,x1472),f23(x1473,x1474)),f5(f24(x1471,f23(x1473,x1474)),x1472))
% 1.94/2.04 [148]~P17(x1483,x1484)+E(f5(f24(x1481,f23(x1482,x1483)),x1484),f24(f5(x1481,x1484),f23(x1482,x1484)))
% 1.94/2.04 [152]~P10(x1521,x1524,x1525)+P10(f24(x1521,f23(x1522,x1523)),x1524,x1525)
% 1.94/2.04 [160]~P17(x1601,x1602)+~P3(f30(x1603,f24(x1604,f23(x1601,x1602)),x1605))
% 1.94/2.04 [122]P17(x1222,x1221)+~P1(x1222,x1221)+P1(x1221,x1222)
% 1.94/2.04 [126]~P4(x1261,x1262)+~P8(x1261,x1262)+P13(x1261,x1262)
% 1.94/2.04 [127]~P4(x1271,x1272)+~P8(x1271,x1272)+P19(x1271,x1272)
% 1.94/2.04 [128]~P4(x1281,x1282)+~P8(x1281,x1282)+E(f18(x1281,x1282),x1281)
% 1.94/2.04 [129]~P4(x1291,x1292)+~P8(x1291,x1292)+E(f19(x1291,x1292),x1292)
% 1.94/2.04 [130]~P4(x1301,x1302)+~P8(x1301,x1302)+E(f31(x1301,x1302),x1302)
% 1.94/2.04 [134]~P4(x1341,x1342)+~P8(x1341,x1342)+E(f32(x1341,x1342),f22(x1341,x1342))
% 1.94/2.04 [124]~P8(x1243,x1241)+P1(x1241,x1242)+~P4(x1243,x1242)
% 1.94/2.04 [125]~P1(x1251,x1253)+P1(x1251,x1252)+~P1(x1253,x1252)
% 1.94/2.04 [136]E(x1361,x1362)+P4(x1363,x1362)+~P4(f6(x1363,x1361),x1362)
% 1.94/2.04 [139]~P4(x1393,x1391)+E(x1391,x1392)+E(f22(f6(x1393,x1392),x1391),f6(f22(x1393,x1391),x1392))
% 1.94/2.04 [153]P6(x1531,f20(x1532))+E(x1531,a1)+E(f8(f30(x1532,x1531,x1533)),f30(x1532,f5(x1531,f20(x1532)),a3))
% 1.94/2.04 [146]E(x1461,x1462)+P6(x1463,x1462)+~P6(f24(x1463,f23(x1461,x1464)),x1462)
% 1.94/2.04 [156]~P6(x1562,x1564)+~P17(x1564,f26(x1562,x1564))+E(f27(f30(x1561,x1562,x1563),x1564),f30(f29(x1561,x1564),f28(x1562,x1564),a3))
% 1.94/2.04 [157]~P6(x1573,x1572)+~P1(f26(x1573,x1572),x1572)+E(f30(f29(x1571,x1572),f28(x1573,x1572),x1574),f27(f30(x1571,x1573,x1574),x1572))
% 1.94/2.04 [143]~P6(x1433,x1432)+E(x1431,x1432)+E(f26(f24(x1433,f23(x1431,x1434)),x1432),f26(x1433,x1432))
% 1.94/2.04 [149]~P6(x1493,x1492)+E(x1491,x1492)+E(f28(f24(x1493,f23(x1491,x1494)),x1492),f24(f28(x1493,x1492),f23(x1491,x1494)))
% 1.94/2.04 [144]~E(x1443,x1445)+~E(x1442,x1444)+P10(f24(x1441,f23(x1442,x1443)),x1444,x1445)
% 1.94/2.04 [154]E(x1541,x1542)+P10(x1543,x1544,x1542)+~P10(f24(x1543,f23(x1545,x1541)),x1544,x1542)
% 1.94/2.04 [155]E(x1551,x1552)+P10(x1553,x1552,x1554)+~P10(f24(x1553,f23(x1551,x1555)),x1552,x1554)
% 1.94/2.04 [161]~P1(x1614,x1613)+~P3(f30(x1611,x1612,x1615))+P3(f30(x1611,f24(x1612,f23(x1613,x1614)),x1615))
% 1.94/2.04 [162]~P1(x1624,x1625)+P3(f30(x1621,x1622,x1623))+~P3(f30(x1621,f24(x1622,f23(x1625,x1624)),x1623))
% 1.94/2.04 [116]~P11(x1162)+~P9(x1161,x1162)+P12(x1161)+~P3(x1162)
% 1.94/2.04 [158]~P6(x1581,f20(x1582))+E(x1581,a1)+~P17(f20(x1582),f26(x1581,f20(x1582)))+E(f8(f30(x1582,x1581,x1583)),f30(x1582,f5(x1581,f20(x1582)),a3))
% 1.94/2.04 [159]~P6(x1591,f20(x1592))+E(x1591,a1)+~P1(f26(x1591,f20(x1592)),f20(x1592))+E(f30(x1592,f5(x1591,f20(x1592)),x1593),f8(f30(x1592,x1591,x1593)))
% 1.94/2.04 %EqnAxiom
% 1.94/2.04 [1]E(x11,x11)
% 1.94/2.04 [2]E(x22,x21)+~E(x21,x22)
% 1.94/2.04 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.94/2.04 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 1.94/2.04 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 1.94/2.04 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 1.94/2.04 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 1.94/2.04 [8]~E(x81,x82)+E(f23(x81,x83),f23(x82,x83))
% 1.94/2.04 [9]~E(x91,x92)+E(f23(x93,x91),f23(x93,x92))
% 1.94/2.04 [10]~E(x101,x102)+E(f22(x101,x103),f22(x102,x103))
% 1.94/2.04 [11]~E(x111,x112)+E(f22(x113,x111),f22(x113,x112))
% 1.94/2.04 [12]~E(x121,x122)+E(f30(x121,x123,x124),f30(x122,x123,x124))
% 1.94/2.04 [13]~E(x131,x132)+E(f30(x133,x131,x134),f30(x133,x132,x134))
% 1.94/2.04 [14]~E(x141,x142)+E(f30(x143,x144,x141),f30(x143,x144,x142))
% 1.94/2.04 [15]~E(x151,x152)+E(f24(x151,x153),f24(x152,x153))
% 1.94/2.04 [16]~E(x161,x162)+E(f24(x163,x161),f24(x163,x162))
% 1.94/2.04 [17]~E(x171,x172)+E(f26(x171,x173),f26(x172,x173))
% 1.94/2.04 [18]~E(x181,x182)+E(f26(x183,x181),f26(x183,x182))
% 1.94/2.04 [19]~E(x191,x192)+E(f20(x191),f20(x192))
% 1.94/2.04 [20]~E(x201,x202)+E(f27(x201,x203),f27(x202,x203))
% 1.94/2.04 [21]~E(x211,x212)+E(f27(x213,x211),f27(x213,x212))
% 1.94/2.04 [22]~E(x221,x222)+E(f17(x221),f17(x222))
% 1.94/2.04 [23]~E(x231,x232)+E(f29(x231,x233),f29(x232,x233))
% 1.94/2.04 [24]~E(x241,x242)+E(f29(x243,x241),f29(x243,x242))
% 1.94/2.04 [25]~E(x251,x252)+E(f8(x251),f8(x252))
% 1.94/2.04 [26]~E(x261,x262)+E(f28(x261,x263),f28(x262,x263))
% 1.94/2.04 [27]~E(x271,x272)+E(f28(x273,x271),f28(x273,x272))
% 1.94/2.04 [28]~E(x281,x282)+E(f32(x281,x283),f32(x282,x283))
% 1.94/2.04 [29]~E(x291,x292)+E(f32(x293,x291),f32(x293,x292))
% 1.94/2.04 [30]~E(x301,x302)+E(f13(x301),f13(x302))
% 1.94/2.04 [31]~E(x311,x312)+E(f7(x311),f7(x312))
% 1.94/2.04 [32]~E(x321,x322)+E(f10(x321),f10(x322))
% 1.94/2.04 [33]~E(x331,x332)+E(f21(x331,x333),f21(x332,x333))
% 1.94/2.04 [34]~E(x341,x342)+E(f21(x343,x341),f21(x343,x342))
% 1.94/2.04 [35]~E(x351,x352)+E(f12(x351,x353),f12(x352,x353))
% 1.94/2.04 [36]~E(x361,x362)+E(f12(x363,x361),f12(x363,x362))
% 1.94/2.04 [37]~E(x371,x372)+E(f11(x371),f11(x372))
% 1.94/2.04 [38]~E(x381,x382)+E(f18(x381,x383),f18(x382,x383))
% 1.94/2.04 [39]~E(x391,x392)+E(f18(x393,x391),f18(x393,x392))
% 1.94/2.04 [40]~E(x401,x402)+E(f25(x401,x403),f25(x402,x403))
% 1.94/2.04 [41]~E(x411,x412)+E(f25(x413,x411),f25(x413,x412))
% 1.94/2.04 [42]~E(x421,x422)+E(f19(x421,x423),f19(x422,x423))
% 1.94/2.04 [43]~E(x431,x432)+E(f19(x433,x431),f19(x433,x432))
% 1.94/2.04 [44]~E(x441,x442)+E(f31(x441,x443),f31(x442,x443))
% 1.94/2.04 [45]~E(x451,x452)+E(f31(x453,x451),f31(x453,x452))
% 1.94/2.04 [46]P1(x462,x463)+~E(x461,x462)+~P1(x461,x463)
% 1.94/2.04 [47]P1(x473,x472)+~E(x471,x472)+~P1(x473,x471)
% 1.94/2.04 [48]~P3(x481)+P3(x482)+~E(x481,x482)
% 1.94/2.04 [49]P9(x492,x493)+~E(x491,x492)+~P9(x491,x493)
% 1.94/2.04 [50]P9(x503,x502)+~E(x501,x502)+~P9(x503,x501)
% 1.94/2.04 [51]~P2(x511)+P2(x512)+~E(x511,x512)
% 1.94/2.04 [52]~P7(x521)+P7(x522)+~E(x521,x522)
% 1.94/2.04 [53]P10(x532,x533,x534)+~E(x531,x532)+~P10(x531,x533,x534)
% 1.94/2.04 [54]P10(x543,x542,x544)+~E(x541,x542)+~P10(x543,x541,x544)
% 1.94/2.04 [55]P10(x553,x554,x552)+~E(x551,x552)+~P10(x553,x554,x551)
% 1.94/2.04 [56]P6(x562,x563)+~E(x561,x562)+~P6(x561,x563)
% 1.94/2.04 [57]P6(x573,x572)+~E(x571,x572)+~P6(x573,x571)
% 1.94/2.04 [58]P4(x582,x583)+~E(x581,x582)+~P4(x581,x583)
% 1.94/2.04 [59]P4(x593,x592)+~E(x591,x592)+~P4(x593,x591)
% 1.94/2.04 [60]P8(x602,x603)+~E(x601,x602)+~P8(x601,x603)
% 1.94/2.04 [61]P8(x613,x612)+~E(x611,x612)+~P8(x613,x611)
% 1.94/2.04 [62]P17(x622,x623)+~E(x621,x622)+~P17(x621,x623)
% 1.94/2.04 [63]P17(x633,x632)+~E(x631,x632)+~P17(x633,x631)
% 1.94/2.04 [64]P18(x642,x643)+~E(x641,x642)+~P18(x641,x643)
% 1.94/2.04 [65]P18(x653,x652)+~E(x651,x652)+~P18(x653,x651)
% 1.94/2.04 [66]~P11(x661)+P11(x662)+~E(x661,x662)
% 1.94/2.04 [67]P16(x672,x673)+~E(x671,x672)+~P16(x671,x673)
% 1.94/2.04 [68]P16(x683,x682)+~E(x681,x682)+~P16(x683,x681)
% 1.94/2.04 [69]~P12(x691)+P12(x692)+~E(x691,x692)
% 1.94/2.04 [70]P19(x702,x703)+~E(x701,x702)+~P19(x701,x703)
% 1.94/2.04 [71]P19(x713,x712)+~E(x711,x712)+~P19(x713,x711)
% 1.94/2.04 [72]P5(x722,x723)+~E(x721,x722)+~P5(x721,x723)
% 1.94/2.04 [73]P5(x733,x732)+~E(x731,x732)+~P5(x733,x731)
% 1.94/2.04 [74]P13(x742,x743)+~E(x741,x742)+~P13(x741,x743)
% 1.94/2.04 [75]P13(x753,x752)+~E(x751,x752)+~P13(x753,x751)
% 1.94/2.04 [76]~P15(x761)+P15(x762)+~E(x761,x762)
% 1.94/2.04 [77]~P14(x771)+P14(x772)+~E(x771,x772)
% 1.94/2.04
% 1.94/2.04 %-------------------------------------------
% 1.94/2.04 cnf(163,plain,
% 1.94/2.04 (E(a1,f5(a1,x1631))),
% 1.94/2.04 inference(scs_inference,[],[78,2])).
% 1.94/2.04 cnf(164,plain,
% 1.94/2.04 (~P17(x1641,x1641)),
% 1.94/2.04 inference(scs_inference,[],[80,78,2,120])).
% 1.94/2.04 cnf(166,plain,
% 1.94/2.04 (~P19(a4,x1661)),
% 1.94/2.04 inference(scs_inference,[],[80,96,78,2,120,112])).
% 1.94/2.04 cnf(168,plain,
% 1.94/2.04 (~P13(a4,x1681)),
% 1.94/2.04 inference(scs_inference,[],[80,96,78,2,120,112,111])).
% 1.94/2.04 cnf(170,plain,
% 1.94/2.04 (~P18(a4,x1701)),
% 1.94/2.04 inference(scs_inference,[],[80,96,78,2,120,112,111,110])).
% 1.94/2.04 cnf(173,plain,
% 1.94/2.04 (P8(x1731,a2)),
% 1.94/2.04 inference(scs_inference,[],[100,80,79,96,78,2,120,112,111,110,22,135])).
% 1.94/2.04 cnf(177,plain,
% 1.94/2.04 (~P4(a4,x1771)),
% 1.94/2.04 inference(rename_variables,[],[96])).
% 1.94/2.04 cnf(179,plain,
% 1.94/2.04 (~P11(f22(f6(f30(x1791,x1792,a3),x1793),x1793))),
% 1.94/2.04 inference(scs_inference,[],[100,80,79,96,78,99,83,2,120,112,111,110,22,135,123,66])).
% 1.94/2.04 cnf(180,plain,
% 1.94/2.04 (E(f22(f6(x1801,x1802),x1802),x1801)),
% 1.94/2.04 inference(rename_variables,[],[83])).
% 1.94/2.04 cnf(181,plain,
% 1.94/2.04 (~P7(f5(a1,x1811))),
% 1.94/2.04 inference(scs_inference,[],[100,80,79,96,95,78,99,83,2,120,112,111,110,22,135,123,66,52])).
% 1.94/2.04 cnf(182,plain,
% 1.94/2.04 (~P2(f22(f6(a4,x1821),x1821))),
% 1.94/2.04 inference(scs_inference,[],[100,80,79,96,94,95,78,99,83,180,2,120,112,111,110,22,135,123,66,52,51])).
% 1.94/2.04 cnf(183,plain,
% 1.94/2.04 (E(f22(f6(x1831,x1832),x1832),x1831)),
% 1.94/2.04 inference(rename_variables,[],[83])).
% 1.94/2.04 cnf(186,plain,
% 1.94/2.04 (P1(f5(a1,x1861),a1)),
% 1.94/2.04 inference(scs_inference,[],[100,80,81,79,96,94,95,78,99,83,180,2,120,112,111,110,22,135,123,66,52,51,50,49,47])).
% 1.94/2.04 cnf(187,plain,
% 1.94/2.04 (P1(x1871,x1871)),
% 1.94/2.04 inference(rename_variables,[],[80])).
% 1.94/2.04 cnf(188,plain,
% 1.94/2.04 (P1(a1,f5(a1,x1881))),
% 1.94/2.04 inference(scs_inference,[],[100,80,187,81,79,96,94,95,78,99,83,180,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46])).
% 1.94/2.04 cnf(190,plain,
% 1.94/2.04 (E(f22(f6(x1901,x1902),x1902),x1901)),
% 1.94/2.04 inference(rename_variables,[],[83])).
% 1.94/2.04 cnf(193,plain,
% 1.94/2.04 (P6(f24(x1931,f23(f5(a1,x1932),x1933)),a1)),
% 1.94/2.04 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138])).
% 1.94/2.04 cnf(199,plain,
% 1.94/2.04 (P4(f6(x1991,f5(a1,x1992)),a1)),
% 1.94/2.04 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119])).
% 1.94/2.04 cnf(229,plain,
% 1.94/2.04 (E(f26(x2291,f5(a1,x2292)),f26(x2291,a1))),
% 1.94/2.04 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18])).
% 1.94/2.04 cnf(233,plain,
% 1.94/2.04 (E(f30(x2331,x2332,f5(a1,x2333)),f30(x2331,x2332,a1))),
% 1.94/2.04 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14])).
% 1.94/2.04 cnf(235,plain,
% 1.94/2.04 (E(f30(f5(a1,x2351),x2352,x2353),f30(a1,x2352,x2353))),
% 1.94/2.04 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12])).
% 1.94/2.05 cnf(236,plain,
% 1.94/2.05 (E(f22(x2361,f5(a1,x2362)),f22(x2361,a1))),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11])).
% 1.94/2.05 cnf(240,plain,
% 1.94/2.05 (E(f6(x2401,f5(a1,x2402)),f6(x2401,a1))),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 1.94/2.05 cnf(248,plain,
% 1.94/2.05 (E(f24(f5(x2481,f5(a1,x2482)),f23(x2483,f5(a1,x2482))),f5(f24(x2481,f23(x2483,f5(a1,x2482))),f5(a1,x2482)))),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147])).
% 1.94/2.05 cnf(250,plain,
% 1.94/2.05 (~P13(f22(f6(a4,x2501),x2501),f12(a4,x2502))),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,190,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74])).
% 1.94/2.05 cnf(251,plain,
% 1.94/2.05 (~P5(f8(f30(x2511,a1,x2512)),x2513)),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,190,91,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74,72])).
% 1.94/2.05 cnf(252,plain,
% 1.94/2.05 (~P19(f22(f6(a4,x2521),x2521),f12(a4,x2522))),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,190,91,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74,72,70])).
% 1.94/2.05 cnf(253,plain,
% 1.94/2.05 (~P18(f22(f6(a4,x2531),x2531),f12(a4,x2532))),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,190,91,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74,72,70,64])).
% 1.94/2.05 cnf(255,plain,
% 1.94/2.05 (~P17(f28(f24(f5(a1,x2551),f23(x2552,x2553)),x2552),f5(a1,x2551))),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,79,96,97,94,95,78,99,83,180,183,190,91,86,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74,72,70,64,63,62])).
% 1.94/2.05 cnf(256,plain,
% 1.94/2.05 (~P4(f22(f6(a4,x2561),x2561),x2562)),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,79,96,177,97,94,95,78,99,83,180,183,190,91,86,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74,72,70,64,63,62,58])).
% 1.94/2.05 cnf(257,plain,
% 1.94/2.05 (~P6(f5(a1,x2571),x2572)),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,79,96,177,97,94,95,78,99,83,180,183,190,91,86,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74,72,70,64,63,62,58,56])).
% 1.94/2.05 cnf(259,plain,
% 1.94/2.05 (~P10(f24(a1,f23(f17(f30(a9,a1,a14)),x2591)),f17(f30(a15,a1,a16)),x2592)),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,98,79,96,177,97,94,95,78,99,83,180,183,190,91,86,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74,72,70,64,63,62,58,56,53,155])).
% 1.94/2.05 cnf(260,plain,
% 1.94/2.05 (~P10(a1,x2601,x2602)),
% 1.94/2.05 inference(rename_variables,[],[98])).
% 1.94/2.05 cnf(262,plain,
% 1.94/2.05 (~P10(f24(a1,f23(x2621,f17(f30(a9,a1,a14)))),x2622,f17(f30(a15,a1,a16)))),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,98,260,79,96,177,97,94,95,78,99,83,180,183,190,91,86,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74,72,70,64,63,62,58,56,53,155,154])).
% 1.94/2.05 cnf(265,plain,
% 1.94/2.05 (~P6(f24(a1,f23(f17(f30(a9,a1,a14)),x2651)),f17(f30(a15,a1,a16)))),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,98,260,79,96,177,97,94,95,78,99,83,180,183,190,91,86,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74,72,70,64,63,62,58,56,53,155,154,146])).
% 1.94/2.05 cnf(268,plain,
% 1.94/2.05 (P10(f24(x2681,f23(f5(a1,x2682),f5(a1,x2682))),a1,a1)),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,98,260,79,96,177,97,94,95,78,99,83,180,183,190,91,86,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74,72,70,64,63,62,58,56,53,155,154,146,144])).
% 1.94/2.05 cnf(270,plain,
% 1.94/2.05 (~P4(f6(a4,f17(f30(a9,a1,a14))),f17(f30(a15,a1,a16)))),
% 1.94/2.05 inference(scs_inference,[],[100,80,187,81,98,260,79,96,177,97,94,95,78,99,83,180,183,190,91,86,2,120,112,111,110,22,135,123,66,52,51,50,49,47,46,3,151,138,132,131,119,117,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,137,150,147,74,72,70,64,63,62,58,56,53,155,154,146,144,136])).
% 1.94/2.05 cnf(296,plain,
% 1.94/2.05 (P18(f6(x2961,f5(a1,x2962)),a1)),
% 1.94/2.05 inference(scs_inference,[],[199,115])).
% 1.94/2.05 cnf(298,plain,
% 1.94/2.05 (P10(f24(f24(x2981,f23(f5(a1,x2982),f5(a1,x2982))),f23(x2983,x2984)),a1,a1)),
% 1.94/2.05 inference(scs_inference,[],[199,268,115,152])).
% 1.94/2.05 cnf(300,plain,
% 1.94/2.05 (P5(f30(x3001,f24(x3002,f23(f5(a1,x3003),x3004)),x3005),a1)),
% 1.94/2.05 inference(scs_inference,[],[193,199,268,115,152,145])).
% 1.94/2.05 cnf(302,plain,
% 1.94/2.05 (P6(f24(f24(x3021,f23(f5(a1,x3022),x3023)),f23(x3024,x3025)),a1)),
% 1.94/2.05 inference(scs_inference,[],[193,199,268,115,152,145,141])).
% 1.94/2.05 cnf(308,plain,
% 1.94/2.05 (~P17(x3081,x3081)),
% 1.94/2.05 inference(rename_variables,[],[164])).
% 1.94/2.05 cnf(312,plain,
% 1.94/2.05 (E(f26(f24(x3121,f23(x3122,x3123)),x3122),x3123)),
% 1.94/2.05 inference(rename_variables,[],[87])).
% 1.94/2.05 cnf(314,plain,
% 1.94/2.05 (E(f26(f24(x3141,f23(x3142,x3143)),x3142),x3143)),
% 1.94/2.05 inference(rename_variables,[],[87])).
% 1.94/2.05 cnf(315,plain,
% 1.94/2.05 (~E(f24(x3151,f23(x3152,x3153)),a1)),
% 1.94/2.05 inference(scs_inference,[],[85,88,87,312,95,98,97,164,308,193,199,268,115,152,145,141,133,22,63,62,56,53,52])).
% 1.94/2.05 cnf(317,plain,
% 1.94/2.05 (~P4(f6(f6(a4,f17(f30(a9,a1,a14))),f17(f30(a9,a1,a14))),f17(f30(a15,a1,a16)))),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,87,312,94,95,98,97,164,308,270,193,199,268,115,152,145,141,133,22,63,62,56,53,52,51,136])).
% 1.94/2.05 cnf(319,plain,
% 1.94/2.05 (~E(f17(f30(a15,a1,a16)),f17(f30(a9,a1,a14)))),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,87,312,94,95,98,97,164,308,270,193,199,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2])).
% 1.94/2.05 cnf(320,plain,
% 1.94/2.05 (~P13(f17(f30(x3201,a1,x3202)),x3203)),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,87,312,94,95,98,97,164,308,270,168,193,199,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74])).
% 1.94/2.05 cnf(321,plain,
% 1.94/2.05 (P6(f24(x3211,f23(f5(a1,x3212),x3213)),f5(a1,x3214))),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,87,312,94,95,98,97,164,308,270,168,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57])).
% 1.94/2.05 cnf(323,plain,
% 1.94/2.05 (P10(f24(x3231,f23(f5(a1,x3232),f5(a1,x3232))),f5(a1,x3233),a1)),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,87,312,94,95,98,97,164,308,270,168,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54])).
% 1.94/2.05 cnf(324,plain,
% 1.94/2.05 (P3(f30(x3241,f24(a1,f23(x3242,a2)),x3243))),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,87,312,79,94,95,90,98,97,164,308,270,168,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161])).
% 1.94/2.05 cnf(327,plain,
% 1.94/2.05 (E(f26(f24(x3271,f23(x3272,x3273)),x3272),x3273)),
% 1.94/2.05 inference(rename_variables,[],[87])).
% 1.94/2.05 cnf(328,plain,
% 1.94/2.05 (~P4(f17(f30(x3281,a1,x3282)),x3283)),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,87,312,314,79,94,95,90,98,96,97,164,308,251,270,168,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58])).
% 1.94/2.05 cnf(329,plain,
% 1.94/2.05 (~E(a4,f17(f30(a15,a1,a16)))),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,87,312,314,79,94,95,90,98,96,97,164,308,251,270,168,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3])).
% 1.94/2.05 cnf(330,plain,
% 1.94/2.05 (E(f17(f30(x3301,a1,x3302)),a4)),
% 1.94/2.05 inference(rename_variables,[],[89])).
% 1.94/2.05 cnf(332,plain,
% 1.94/2.05 (~P19(f17(f30(x3321,a1,x3322)),x3323)),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,330,87,312,314,79,94,95,90,98,96,97,164,308,251,270,166,168,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3,73,70])).
% 1.94/2.05 cnf(333,plain,
% 1.94/2.05 (P18(f6(x3331,f5(a1,x3332)),f5(a1,x3333))),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,330,87,312,314,79,94,95,90,98,96,97,164,308,251,270,166,168,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3,73,70,65])).
% 1.94/2.05 cnf(334,plain,
% 1.94/2.05 (~P18(f17(f30(x3341,a1,x3342)),x3343)),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,330,87,312,314,79,94,95,90,98,96,97,164,308,251,270,166,168,170,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3,73,70,65,64])).
% 1.94/2.05 cnf(335,plain,
% 1.94/2.05 (P4(f6(x3351,f5(a1,x3352)),f5(a1,x3353))),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,330,87,312,314,79,94,95,90,98,96,97,164,308,251,270,166,168,170,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3,73,70,65,64,59])).
% 1.94/2.05 cnf(336,plain,
% 1.94/2.05 (~P16(f30(x3361,a1,x3362),x3363)),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,330,87,312,314,79,94,95,90,98,96,97,164,308,251,270,166,168,170,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3,73,70,65,64,59,118])).
% 1.94/2.05 cnf(344,plain,
% 1.94/2.05 (P3(f21(f30(x3441,a1,x3442),x3443))),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,330,87,312,314,92,79,94,95,90,98,96,97,81,164,308,251,270,166,168,170,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3,73,70,65,64,59,118,160,106,116,48])).
% 1.94/2.05 cnf(349,plain,
% 1.94/2.05 (P9(x3491,x3491)),
% 1.94/2.05 inference(rename_variables,[],[81])).
% 1.94/2.05 cnf(352,plain,
% 1.94/2.05 (P1(x3521,x3521)),
% 1.94/2.05 inference(rename_variables,[],[80])).
% 1.94/2.05 cnf(355,plain,
% 1.94/2.05 (~P16(f22(f6(f30(x3551,a1,x3552),x3553),x3553),x3554)),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,330,87,312,314,327,92,79,94,95,90,83,80,98,96,97,81,164,308,251,233,250,252,270,166,168,170,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3,73,70,65,64,59,118,160,106,116,48,155,50,47,75,71,67])).
% 1.94/2.05 cnf(356,plain,
% 1.94/2.05 (~P11(f28(f24(f22(f6(f30(x3561,x3562,a3),x3563),x3563),f23(x3564,x3565)),x3564))),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,330,87,312,314,327,92,79,94,95,90,83,80,98,86,96,97,81,164,308,179,251,233,250,252,270,166,168,170,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3,73,70,65,64,59,118,160,106,116,48,155,50,47,75,71,67,66])).
% 1.94/2.05 cnf(359,plain,
% 1.94/2.05 (P1(a4,f17(f30(x3591,a1,x3592)))),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,330,87,312,314,327,92,79,94,95,90,83,80,352,98,86,96,97,81,349,164,308,179,251,233,250,252,270,166,168,170,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3,73,70,65,64,59,118,160,106,116,48,155,50,47,75,71,67,66,49,46])).
% 1.94/2.05 cnf(363,plain,
% 1.94/2.05 (~P18(f17(f22(f6(f30(x3631,a1,x3632),x3633),x3633)),x3634)),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,330,87,312,314,327,92,79,94,95,90,83,80,352,98,86,96,97,81,349,164,308,179,251,233,250,252,270,166,168,170,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3,73,70,65,64,59,118,160,106,116,48,155,50,47,75,71,67,66,49,46,142,121])).
% 1.94/2.05 cnf(365,plain,
% 1.94/2.05 (~P15(f22(f6(f30(a9,a1,a14),x3651),x3651))),
% 1.94/2.05 inference(scs_inference,[],[100,82,85,88,89,330,87,312,314,327,92,79,94,95,90,83,80,352,98,86,96,97,81,349,164,308,179,251,233,250,252,270,166,168,170,193,199,163,268,115,152,145,141,133,22,63,62,56,53,52,51,136,2,74,57,55,54,161,72,58,3,73,70,65,64,59,118,160,106,116,48,155,50,47,75,71,67,66,49,46,142,121,76])).
% 1.94/2.05 cnf(383,plain,
% 1.94/2.05 (~P14(f30(x3831,a1,x3832))),
% 1.94/2.05 inference(scs_inference,[],[320,105])).
% 1.94/2.05 cnf(386,plain,
% 1.94/2.05 (~P14(f26(f24(x3861,f23(x3862,f30(x3863,a1,x3864))),x3862))),
% 1.94/2.05 inference(scs_inference,[],[87,320,105,77])).
% 1.94/2.05 cnf(387,plain,
% 1.94/2.05 (E(f26(f24(x3871,f23(x3872,x3873)),x3872),x3873)),
% 1.94/2.05 inference(rename_variables,[],[87])).
% 1.94/2.05 cnf(389,plain,
% 1.94/2.05 (E(f22(f6(x3891,x3892),x3892),x3891)),
% 1.94/2.05 inference(rename_variables,[],[83])).
% 1.94/2.05 cnf(390,plain,
% 1.94/2.05 (~P4(f17(f22(f6(f30(x3901,a1,x3902),x3903),x3903)),x3904)),
% 1.94/2.05 inference(scs_inference,[],[87,83,365,363,320,105,77,76,115])).
% 1.94/2.05 cnf(392,plain,
% 1.94/2.05 (P4(f6(x3921,f6(f6(x3922,x3923),x3924)),f6(f6(x3922,x3924),x3923))),
% 1.94/2.05 inference(scs_inference,[],[84,87,83,365,363,320,105,77,76,115,119])).
% 1.94/2.05 cnf(397,plain,
% 1.94/2.05 (~E(f30(a15,a1,a16),f30(a9,a1,a14))),
% 1.94/2.05 inference(scs_inference,[],[84,87,83,98,365,363,320,319,105,77,76,115,119,155,22])).
% 1.94/2.05 cnf(398,plain,
% 1.94/2.05 (~P7(f26(f24(x3981,f23(x3982,f5(a1,x3983))),x3982))),
% 1.94/2.05 inference(scs_inference,[],[84,87,387,83,98,365,363,320,181,319,105,77,76,115,119,155,22,52])).
% 1.94/2.05 cnf(399,plain,
% 1.94/2.05 (~P2(f22(f6(f22(f6(a4,x3991),x3991),x3992),x3992))),
% 1.94/2.05 inference(scs_inference,[],[84,87,387,83,389,98,365,363,320,182,181,319,105,77,76,115,119,155,22,52,51])).
% 1.94/2.05 cnf(401,plain,
% 1.94/2.05 (E(f26(f24(x4011,f23(x4012,x4013)),x4012),x4013)),
% 1.94/2.05 inference(rename_variables,[],[87])).
% 1.94/2.05 cnf(403,plain,
% 1.94/2.05 (~E(f6(x4031,f5(a1,x4032)),f17(f22(f6(f30(x4033,a1,x4034),x4035),x4035)))),
% 1.94/2.05 inference(scs_inference,[],[78,93,84,87,387,83,389,98,365,363,320,182,333,181,319,105,77,76,115,119,155,22,52,51,3,2,64])).
% 1.94/2.05 cnf(404,plain,
% 1.94/2.05 (~P18(f22(f6(a4,x4041),x4041),f26(f24(x4042,f23(x4043,f12(a4,x4044))),x4043))),
% 1.94/2.05 inference(scs_inference,[],[78,93,84,87,387,401,83,389,98,365,363,320,182,253,333,181,319,105,77,76,115,119,155,22,52,51,3,2,64,65])).
% 1.94/2.05 cnf(413,plain,
% 1.94/2.05 (~P6(f24(f24(a1,f23(f17(f30(a9,a1,a14)),x4131)),f23(a4,x4132)),f17(f30(a15,a1,a16)))),
% 1.94/2.05 inference(scs_inference,[],[78,93,84,87,387,401,83,389,98,365,363,320,182,253,333,335,181,319,329,265,173,105,77,76,115,119,155,22,52,51,3,2,64,65,108,107,126,130,146])).
% 1.94/2.05 cnf(417,plain,
% 1.94/2.05 (P4(f6(f6(x4171,f5(a1,x4172)),x4173),f5(a1,x4174))),
% 1.94/2.05 inference(scs_inference,[],[78,93,84,87,387,401,83,389,98,365,363,320,182,253,333,335,181,319,329,262,265,173,105,77,76,115,119,155,22,52,51,3,2,64,65,108,107,126,130,146,154,133])).
% 1.94/2.05 cnf(420,plain,
% 1.94/2.05 (~P10(f24(a1,f23(x4201,f17(f30(a9,a1,a14)))),x4202,f28(f24(f17(f30(a15,a1,a16)),f23(x4203,x4204)),x4203))),
% 1.94/2.05 inference(scs_inference,[],[78,93,84,87,387,401,83,389,86,98,365,363,320,182,253,333,335,181,319,329,262,265,173,105,77,76,115,119,155,22,52,51,3,2,64,65,108,107,126,130,146,154,133,57,55])).
% 1.94/2.05 cnf(422,plain,
% 1.94/2.05 (~P4(f6(f6(a4,f17(f30(a9,a1,a14))),f17(f30(a9,a1,a14))),f28(f24(f17(f30(a15,a1,a16)),f23(x4221,x4222)),x4221))),
% 1.94/2.05 inference(scs_inference,[],[78,93,84,87,387,401,83,389,86,98,365,363,320,182,253,333,335,317,181,319,329,259,262,265,173,105,77,76,115,119,155,22,52,51,3,2,64,65,108,107,126,130,146,154,133,57,55,54,59])).
% 1.94/2.05 cnf(443,plain,
% 1.94/2.05 (~E(f17(f30(a9,a1,a14)),f28(f24(f17(f30(a15,a1,a16)),f23(x4431,x4432)),x4431))),
% 1.94/2.05 inference(scs_inference,[],[78,420,144])).
% 1.94/2.05 cnf(446,plain,
% 1.94/2.05 (P18(f6(x4461,f6(f6(x4462,x4463),x4464)),f6(f6(x4462,x4464),x4463))),
% 1.94/2.05 inference(scs_inference,[],[78,392,420,144,115])).
% 1.94/2.05 cnf(448,plain,
% 1.94/2.05 (P6(f24(f24(x4481,f23(f5(a1,x4482),x4483)),f23(x4484,x4485)),f5(a1,x4486))),
% 1.94/2.05 inference(scs_inference,[],[78,392,420,321,144,115,141])).
% 1.94/2.05 cnf(450,plain,
% 1.94/2.05 (P6(f24(x4501,f23(f8(f30(x4502,a1,x4503)),x4504)),f30(x4502,a1,a3))),
% 1.94/2.05 inference(scs_inference,[],[78,91,392,420,321,144,115,141,138])).
% 1.94/2.05 cnf(452,plain,
% 1.94/2.05 (~P10(f24(a1,f23(f30(a15,a1,a16),x4521)),f30(a9,a1,a14),x4522)),
% 1.94/2.05 inference(scs_inference,[],[78,91,98,392,420,397,321,144,115,141,138,155])).
% 1.94/2.05 cnf(455,plain,
% 1.94/2.05 (~P4(f6(a4,f17(f30(a9,a1,a14))),f28(f24(f17(f30(a15,a1,a16)),f23(x4551,x4552)),x4551))),
% 1.94/2.05 inference(scs_inference,[],[78,91,98,392,422,420,397,321,144,115,141,138,155,133])).
% 1.94/2.05 cnf(458,plain,
% 1.94/2.05 (~P7(f26(f24(x4581,f23(x4582,a1)),x4582))),
% 1.94/2.05 inference(scs_inference,[],[78,91,95,87,98,392,422,420,397,321,144,115,141,138,155,133,22,52])).
% 1.94/2.05 cnf(459,plain,
% 1.94/2.05 (E(f26(f24(x4591,f23(x4592,x4593)),x4592),x4593)),
% 1.94/2.05 inference(rename_variables,[],[87])).
% 1.94/2.05 cnf(463,plain,
% 1.94/2.05 (~P2(f26(f24(x4631,f23(x4632,a4)),x4632))),
% 1.94/2.05 inference(scs_inference,[],[78,91,94,95,87,459,98,163,392,422,420,397,321,323,235,144,115,141,138,155,133,22,52,57,55,51])).
% 1.94/2.05 cnf(464,plain,
% 1.94/2.05 (E(f26(f24(x4641,f23(x4642,x4643)),x4642),x4643)),
% 1.94/2.05 inference(rename_variables,[],[87])).
% 1.94/2.05 cnf(465,plain,
% 1.94/2.05 (~E(f17(f22(f6(f30(x4651,a1,x4652),x4653),x4653)),f6(x4654,f5(a1,x4655)))),
% 1.94/2.05 inference(scs_inference,[],[78,91,94,95,87,459,98,163,392,403,422,420,397,321,323,235,144,115,141,138,155,133,22,52,57,55,51,2])).
% 1.94/2.05 cnf(466,plain,
% 1.94/2.05 (~E(f24(x4661,f23(x4662,x4663)),f5(a1,x4664))),
% 1.94/2.05 inference(scs_inference,[],[78,91,94,95,87,459,98,163,392,403,422,420,397,315,321,323,235,144,115,141,138,155,133,22,52,57,55,51,2,3])).
% 1.94/2.05 cnf(467,plain,
% 1.94/2.05 (P4(f6(x4671,f6(f6(x4672,x4673),x4674)),f6(f6(x4672,x4673),x4674))),
% 1.94/2.05 inference(scs_inference,[],[78,91,84,94,95,87,459,98,163,392,403,422,420,397,315,321,323,235,144,115,141,138,155,133,22,52,57,55,51,2,3,59])).
% 1.94/2.05 cnf(468,plain,
% 1.94/2.05 (E(f6(f6(x4681,x4682),x4683),f6(f6(x4681,x4683),x4682))),
% 1.94/2.05 inference(rename_variables,[],[84])).
% 1.94/2.05 cnf(469,plain,
% 1.94/2.05 (~P18(f26(f24(x4691,f23(x4692,f17(f30(x4693,a1,x4694)))),x4692),x4695)),
% 1.94/2.05 inference(scs_inference,[],[78,91,84,94,95,87,459,464,98,163,392,403,422,420,397,315,334,321,323,235,144,115,141,138,155,133,22,52,57,55,51,2,3,59,64])).
% 1.94/2.05 cnf(470,plain,
% 1.94/2.05 (P18(f6(x4701,f6(f6(x4702,x4703),x4704)),f6(f6(x4702,x4703),x4704))),
% 1.94/2.05 inference(scs_inference,[],[78,91,84,468,94,95,87,459,464,98,163,392,403,422,420,397,315,334,321,323,235,144,115,141,138,155,133,22,52,57,55,51,2,3,59,64,65])).
% 1.94/2.05 cnf(474,plain,
% 1.94/2.05 (~P14(f8(f30(f5(a1,x4741),a1,x4742)))),
% 1.94/2.05 inference(scs_inference,[],[78,91,84,468,94,95,87,459,464,98,163,81,392,403,344,422,420,383,397,315,334,321,323,235,144,115,141,138,155,133,22,52,57,55,51,2,3,59,64,65,116,77])).
% 1.94/2.05 cnf(478,plain,
% 1.94/2.05 (P10(f24(f24(x4781,f23(f5(a1,x4782),f5(a1,x4782))),f23(x4783,x4784)),f5(a1,x4785),a1)),
% 1.94/2.05 inference(scs_inference,[],[78,91,84,468,94,95,87,459,464,98,97,163,81,392,403,344,422,420,383,397,315,334,321,323,298,235,144,115,141,138,155,133,22,52,57,55,51,2,3,59,64,65,116,77,146,54])).
% 1.94/2.05 cnf(490,plain,
% 1.94/2.05 (~P4(f26(f24(x4901,f23(x4902,f17(f30(x4903,a1,x4904)))),x4902),x4905)),
% 1.94/2.05 inference(scs_inference,[],[469,115])).
% 1.94/2.05 cnf(492,plain,
% 1.94/2.05 (~P6(f24(a1,f23(f24(x4921,f23(x4922,x4923)),x4924)),f5(a1,x4925))),
% 1.94/2.05 inference(scs_inference,[],[97,469,466,115,146])).
% 1.94/2.05 cnf(495,plain,
% 1.94/2.05 (P4(f6(f6(x4951,f6(f6(x4952,x4953),x4954)),x4955),f6(f6(x4952,x4953),x4954))),
% 1.94/2.05 inference(scs_inference,[],[97,467,469,466,115,146,133])).
% 1.94/2.05 cnf(497,plain,
% 1.94/2.05 (~P13(f26(f24(x4971,f23(x4972,f17(f30(x4973,a1,x4974)))),x4972),x4975)),
% 1.94/2.05 inference(scs_inference,[],[87,97,467,469,466,320,115,146,133,74])).
% 1.94/2.05 cnf(499,plain,
% 1.94/2.05 (P10(f24(f24(x4991,f23(f5(a1,x4992),f5(a1,x4992))),f23(x4993,x4994)),f5(a1,x4995),f5(a1,x4996))),
% 1.94/2.05 inference(scs_inference,[],[87,97,163,467,469,466,478,320,115,146,133,74,55])).
% 1.94/2.05 cnf(509,plain,
% 1.94/2.05 (P9(x5091,f8(x5091))),
% 1.94/2.05 inference(scs_inference,[],[92,84,87,97,163,81,446,467,469,466,478,248,320,115,146,133,74,55,2,3,59,64,131,117])).
% 1.94/2.05 cnf(513,plain,
% 1.94/2.05 (~P13(f17(f22(f6(f30(x5131,a1,x5132),x5133),x5133)),x5134)),
% 1.94/2.05 inference(scs_inference,[],[92,84,87,97,163,81,446,467,469,390,466,478,359,248,320,115,146,133,74,55,2,3,59,64,131,117,120,111])).
% 1.94/2.05 cnf(525,plain,
% 1.94/2.05 (P9(x5251,f27(f8(x5251),f7(x5251)))),
% 1.94/2.05 inference(scs_inference,[],[92,84,87,97,163,81,446,467,469,390,466,455,413,478,359,248,320,115,146,133,74,55,2,3,59,64,131,117,120,111,151,110,132,37,31,30,25,137])).
% 1.94/2.05 cnf(548,plain,
% 1.94/2.05 (P8(f22(f6(a4,x5481),x5481),x5482)),
% 1.94/2.05 inference(scs_inference,[],[92,84,87,97,163,81,446,467,469,390,466,455,413,478,359,256,248,320,115,146,133,74,55,2,3,59,64,131,117,120,111,151,110,132,37,31,30,25,137,112,44,41,40,39,36,33,29,26,24,18,17,15,14,13,12,10,9,7,4,123])).
% 1.94/2.05 cnf(569,plain,
% 1.94/2.05 (E(f22(x5691,f30(f25(x5692,x5693),f24(x5694,f23(x5693,a2)),x5695)),f22(x5691,f21(f30(x5692,x5694,x5695),x5693)))),
% 1.94/2.05 inference(scs_inference,[],[79,92,84,87,97,163,81,446,467,469,390,466,455,413,478,359,256,248,257,320,115,146,133,74,55,2,3,59,64,131,117,120,111,151,110,132,37,31,30,25,137,112,44,41,40,39,36,33,29,26,24,18,17,15,14,13,12,10,9,7,4,123,150,147,32,19,45,43,42,38,35,34,28,27,23,21,20,16,11])).
% 1.94/2.05 cnf(576,plain,
% 1.94/2.05 (~P10(f24(f24(a1,f23(f30(a15,a1,a16),x5761)),f23(f30(a15,a1,a16),x5762)),f30(a9,a1,a14),x5763)),
% 1.94/2.05 inference(scs_inference,[],[79,92,84,87,97,163,81,446,467,469,390,452,466,455,413,478,359,256,248,257,397,320,115,146,133,74,55,2,3,59,64,131,117,120,111,151,110,132,37,31,30,25,137,112,44,41,40,39,36,33,29,26,24,18,17,15,14,13,12,10,9,7,4,123,150,147,32,19,45,43,42,38,35,34,28,27,23,21,20,16,11,8,6,5,126,155])).
% 1.94/2.05 cnf(579,plain,
% 1.94/2.05 (~E(f24(x5791,f23(x5792,x5793)),f26(f24(x5794,f23(x5795,f5(a1,x5796))),x5795))),
% 1.94/2.05 inference(scs_inference,[],[79,85,92,84,87,97,163,81,446,467,469,390,398,452,466,455,413,478,359,256,248,257,397,320,115,146,133,74,55,2,3,59,64,131,117,120,111,151,110,132,37,31,30,25,137,112,44,41,40,39,36,33,29,26,24,18,17,15,14,13,12,10,9,7,4,123,150,147,32,19,45,43,42,38,35,34,28,27,23,21,20,16,11,8,6,5,126,155,22,52])).
% 1.94/2.05 cnf(580,plain,
% 1.94/2.05 (~E(f6(x5801,x5802),f22(f6(f22(f6(a4,x5803),x5803),x5804),x5804))),
% 1.94/2.05 inference(scs_inference,[],[79,82,85,92,84,87,97,163,81,446,467,469,390,399,398,452,466,455,413,478,359,256,248,257,397,320,115,146,133,74,55,2,3,59,64,131,117,120,111,151,110,132,37,31,30,25,137,112,44,41,40,39,36,33,29,26,24,18,17,15,14,13,12,10,9,7,4,123,150,147,32,19,45,43,42,38,35,34,28,27,23,21,20,16,11,8,6,5,126,155,22,52,51])).
% 1.94/2.05 cnf(586,plain,
% 1.94/2.05 (P1(x5861,x5861)),
% 1.94/2.05 inference(rename_variables,[],[80])).
% 1.94/2.05 cnf(588,plain,
% 1.94/2.05 (E(f8(f30(x5881,a1,x5882)),f30(x5881,a1,a3))),
% 1.94/2.05 inference(rename_variables,[],[91])).
% 1.94/2.05 cnf(594,plain,
% 1.94/2.05 (P9(x5941,x5941)),
% 1.94/2.05 inference(rename_variables,[],[81])).
% 1.94/2.05 cnf(601,plain,
% 1.94/2.05 (P18(f6(f6(x6011,f6(f6(x6012,x6013),x6014)),x6015),f6(f6(x6012,x6013),x6014))),
% 1.94/2.05 inference(scs_inference,[],[99,93,80,586,89,91,588,81,594,495,336,47,67,66,50,144,49,46,115])).
% 1.94/2.05 cnf(603,plain,
% 1.94/2.05 (~P6(f24(f24(f24(a1,f23(f17(f30(a9,a1,a14)),x6031)),f23(a4,x6032)),f23(a4,x6033)),f17(f30(a15,a1,a16)))),
% 1.94/2.05 inference(scs_inference,[],[99,93,80,586,89,91,588,81,594,495,336,413,329,47,67,66,50,144,49,46,115,146])).
% 1.94/2.05 cnf(605,plain,
% 1.94/2.05 (~P13(f26(f24(x6051,f23(a1,f17(f30(x6052,a1,x6053)))),f5(a1,x6054)),x6055)),
% 1.94/2.05 inference(scs_inference,[],[99,93,80,586,89,91,588,81,594,495,497,229,336,413,329,47,67,66,50,144,49,46,115,146,74])).
% 1.94/2.05 cnf(608,plain,
% 1.94/2.05 (~E(f22(f6(f22(f6(a4,x6081),x6081),x6082),x6082),f6(x6083,x6084))),
% 1.94/2.05 inference(scs_inference,[],[99,93,80,586,89,91,588,81,594,495,497,580,229,336,413,329,47,67,66,50,144,49,46,115,146,74,2])).
% 1.94/2.05 cnf(613,plain,
% 1.94/2.05 (~P15(f22(f6(f30(x6131,a1,x6132),x6133),x6133))),
% 1.94/2.05 inference(scs_inference,[],[99,93,80,586,89,91,588,81,594,495,497,580,513,443,499,229,336,413,329,78,47,67,66,50,144,49,46,115,146,74,2,54,3,106])).
% 1.94/2.05 cnf(615,plain,
% 1.94/2.05 (~P18(f17(f8(f30(x6151,a1,x6152))),x6153)),
% 1.94/2.05 inference(scs_inference,[],[99,93,80,586,89,91,588,81,594,495,497,580,513,443,499,229,336,413,329,78,47,67,66,50,144,49,46,115,146,74,2,54,3,106,121])).
% 1.94/2.05 cnf(617,plain,
% 1.94/2.05 (P5(f30(x6171,f24(f24(x6172,f23(f5(a1,x6173),x6174)),f23(x6175,x6176)),x6177),f5(a1,x6178))),
% 1.94/2.05 inference(scs_inference,[],[99,93,80,586,89,91,588,81,594,495,497,580,513,443,499,448,229,336,413,329,78,47,67,66,50,144,49,46,115,146,74,2,54,3,106,121,145])).
% 1.94/2.05 cnf(619,plain,
% 1.94/2.05 (P10(f24(f24(f24(x6191,f23(f5(a1,x6192),f5(a1,x6192))),f23(x6193,x6194)),f23(x6195,x6196)),f5(a1,x6197),f5(a1,x6198))),
% 1.94/2.05 inference(scs_inference,[],[99,93,80,586,89,91,588,81,594,495,497,580,513,443,499,448,229,336,413,329,78,47,67,66,50,144,49,46,115,146,74,2,54,3,106,121,145,152])).
% 1.94/2.05 cnf(625,plain,
% 1.94/2.05 (P3(f30(x6251,f24(f24(a1,f23(x6252,a2)),f23(x6253,a2)),x6254))),
% 1.94/2.05 inference(scs_inference,[],[79,164,99,93,80,586,89,91,588,81,594,495,497,580,513,324,255,443,499,448,229,336,413,329,78,47,67,66,50,144,49,46,115,146,74,2,54,3,106,121,145,152,122,63,62,161])).
% 1.94/2.05 cnf(627,plain,
% 1.94/2.05 (~P6(f26(f24(x6271,f23(x6272,f5(a1,x6273))),x6272),x6274)),
% 1.94/2.05 inference(scs_inference,[],[79,164,99,93,80,586,89,91,588,87,81,594,495,497,580,513,324,255,443,499,448,229,336,413,257,329,78,47,67,66,50,144,49,46,115,146,74,2,54,3,106,121,145,152,122,63,62,161,56])).
% 1.94/2.05 cnf(628,plain,
% 1.94/2.05 (~P4(f6(a4,f6(x6281,x6282)),f22(f6(f22(f6(a4,x6283),x6283),x6284),x6284))),
% 1.94/2.05 inference(scs_inference,[],[79,164,99,93,80,586,89,91,588,87,96,81,594,495,497,580,513,324,255,443,499,448,229,336,413,257,329,78,47,67,66,50,144,49,46,115,146,74,2,54,3,106,121,145,152,122,63,62,161,56,136])).
% 1.94/2.05 cnf(633,plain,
% 1.94/2.05 (~P4(f22(f6(f17(f30(x6331,a1,x6332)),x6333),x6333),x6334)),
% 1.94/2.05 inference(scs_inference,[],[79,164,99,93,80,586,89,91,588,87,83,96,98,86,81,594,495,497,580,513,324,255,443,499,328,448,229,332,336,413,257,329,78,47,67,66,50,144,49,46,115,146,74,2,54,3,106,121,145,152,122,63,62,161,56,136,70,53,58])).
% 1.94/2.05 cnf(635,plain,
% 1.94/2.05 (~P4(f6(a4,f17(f30(a9,a1,a14))),f22(f6(f17(f30(a15,a1,a16)),x6351),x6351))),
% 1.94/2.05 inference(scs_inference,[],[79,164,99,93,80,586,89,91,588,87,83,96,98,86,81,594,495,497,580,513,324,255,443,499,328,448,229,300,332,336,413,257,270,251,329,78,47,67,66,50,144,49,46,115,146,74,2,54,3,106,121,145,152,122,63,62,161,56,136,70,53,58,72,59])).
% 1.94/2.05 cnf(656,plain,
% 1.94/2.05 (~P18(f22(f6(f17(f30(x6561,a1,x6562)),x6563),x6563),x6564)),
% 1.94/2.05 inference(scs_inference,[],[633,110])).
% 1.94/2.05 cnf(660,plain,
% 1.94/2.05 (P8(f22(f6(a4,f30(f25(x6601,x6602),f24(x6603,f23(x6602,a2)),x6604)),f21(f30(x6601,x6603,x6604),x6602)),x6605)),
% 1.94/2.05 inference(scs_inference,[],[80,90,569,633,548,110,161,60])).
% 1.94/2.05 cnf(669,plain,
% 1.94/2.05 (~P6(f22(f6(a1,x6691),x6691),x6692)),
% 1.94/2.05 inference(scs_inference,[],[80,90,97,83,569,633,605,635,548,173,110,161,60,119,126,56])).
% 1.94/2.05 cnf(670,plain,
% 1.94/2.05 (E(f22(f6(x6701,x6702),x6702),x6701)),
% 1.94/2.05 inference(rename_variables,[],[83])).
% 1.94/2.05 cnf(671,plain,
% 1.94/2.05 (~P4(f6(f6(a4,f6(x6711,x6712)),f6(x6713,x6714)),f22(f6(f22(f6(a4,x6715),x6715),x6716),x6716))),
% 1.94/2.05 inference(scs_inference,[],[80,90,97,83,569,633,605,628,635,548,580,173,110,161,60,119,126,56,136])).
% 1.94/2.05 cnf(675,plain,
% 1.94/2.05 (~P17(x6751,x6751)),
% 1.94/2.05 inference(rename_variables,[],[164])).
% 1.94/2.05 cnf(679,plain,
% 1.94/2.05 (E(f26(f24(x6791,f23(x6792,x6793)),x6792),x6793)),
% 1.94/2.05 inference(rename_variables,[],[87])).
% 1.94/2.05 cnf(680,plain,
% 1.94/2.05 (~P4(f17(f8(f30(x6801,a1,x6802))),x6803)),
% 1.94/2.05 inference(scs_inference,[],[80,166,164,675,90,91,87,97,83,569,633,615,605,628,635,548,580,173,110,161,60,119,126,56,136,63,62,70,115])).
% 1.94/2.05 cnf(683,plain,
% 1.94/2.05 (E(f22(f6(x6831,x6832),x6832),x6831)),
% 1.94/2.05 inference(rename_variables,[],[83])).
% 1.94/2.05 cnf(684,plain,
% 1.94/2.05 (~P4(f26(f24(x6841,f23(x6842,a4)),x6842),x6843)),
% 1.94/2.05 inference(scs_inference,[],[80,166,164,675,90,91,87,679,96,97,83,670,98,569,633,615,605,628,635,548,580,173,110,161,60,119,126,56,136,63,62,70,115,53,58])).
% 1.94/2.05 cnf(685,plain,
% 1.94/2.05 (E(f26(f24(x6851,f23(x6852,x6853)),x6852),x6853)),
% 1.94/2.05 inference(rename_variables,[],[87])).
% 1.94/2.05 cnf(687,plain,
% 1.94/2.05 (E(f30(f25(x6871,x6872),f24(x6873,f23(x6872,a2)),x6874),f21(f30(x6871,x6873,x6874),x6872))),
% 1.94/2.05 inference(rename_variables,[],[92])).
% 1.94/2.05 cnf(688,plain,
% 1.94/2.05 (P5(f30(x6881,f24(f24(x6882,f23(f5(a1,x6883),x6884)),f23(x6885,x6886)),x6887),f5(a1,x6888))),
% 1.94/2.05 inference(rename_variables,[],[617])).
% 1.94/2.05 cnf(689,plain,
% 1.94/2.05 (E(f30(x6891,a1,a3),f8(f30(x6891,a1,x6892)))),
% 1.94/2.05 inference(scs_inference,[],[80,166,164,675,90,91,87,679,96,97,83,670,98,92,569,633,615,605,617,628,635,548,580,173,110,161,60,119,126,56,136,63,62,70,115,53,58,72,2])).
% 1.94/2.05 cnf(692,plain,
% 1.94/2.05 (E(f22(f6(x6921,x6922),x6922),x6921)),
% 1.94/2.05 inference(rename_variables,[],[83])).
% 1.94/2.05 cnf(697,plain,
% 1.94/2.05 (~P15(f22(f6(f22(f6(f30(x6971,a1,x6972),x6973),x6973),x6974),x6974))),
% 1.94/2.05 inference(scs_inference,[],[80,166,164,675,90,91,87,679,685,96,97,83,670,683,692,98,92,569,633,613,615,605,474,617,628,635,548,513,253,580,173,110,161,60,119,126,56,136,63,62,70,115,53,58,72,2,64,3,105,107,76])).
% 1.94/2.05 cnf(702,plain,
% 1.94/2.05 (P9(x7021,x7021)),
% 1.94/2.05 inference(rename_variables,[],[81])).
% 1.94/2.05 cnf(703,plain,
% 1.94/2.05 (P1(f8(f30(x7031,a1,x7032)),f30(x7031,a1,a3))),
% 1.94/2.05 inference(scs_inference,[],[80,166,164,675,90,91,87,679,685,96,97,83,670,683,692,98,81,92,687,569,633,613,615,625,605,474,617,688,628,635,548,513,253,580,173,78,110,161,60,119,126,56,136,63,62,70,115,53,58,72,2,64,3,105,107,76,48,73,50,47])).
% 1.94/2.05 cnf(704,plain,
% 1.94/2.05 (P1(x7041,x7041)),
% 1.94/2.05 inference(rename_variables,[],[80])).
% 1.94/2.05 cnf(708,plain,
% 1.94/2.05 (P1(f30(x7081,a1,a3),f8(f30(x7081,a1,x7082)))),
% 1.94/2.05 inference(scs_inference,[],[80,704,166,164,675,90,91,87,679,685,96,97,83,670,683,692,98,86,81,702,92,687,356,569,633,613,615,625,605,474,617,688,628,635,548,513,253,580,173,78,110,161,60,119,126,56,136,63,62,70,115,53,58,72,2,64,3,105,107,76,48,73,50,47,66,49,46])).
% 1.94/2.05 cnf(710,plain,
% 1.94/2.05 (~P16(f22(f6(f22(f6(f30(x7101,a1,x7102),x7103),x7103),x7104),x7104),x7105)),
% 1.94/2.05 inference(scs_inference,[],[80,704,166,164,675,90,91,87,679,685,96,97,83,670,683,692,98,86,81,702,92,687,356,569,633,613,615,625,605,474,617,688,628,635,548,355,513,253,580,173,78,110,161,60,119,126,56,136,63,62,70,115,53,58,72,2,64,3,105,107,76,48,73,50,47,66,49,46,67])).
% 1.94/2.05 cnf(725,plain,
% 1.94/2.05 (E(f28(f24(x7251,f23(x7252,x7253)),x7252),x7251)),
% 1.94/2.05 inference(rename_variables,[],[86])).
% 1.94/2.05 cnf(726,plain,
% 1.94/2.05 (P4(f6(x7261,f17(f30(x7262,a1,x7263))),a4)),
% 1.94/2.05 inference(scs_inference,[],[89,86,386,77,119])).
% 1.94/2.05 cnf(728,plain,
% 1.94/2.05 (~P15(f22(f6(f22(f6(f30(x7281,a1,x7282),x7283),x7283),a1),f5(a1,x7284)))),
% 1.94/2.05 inference(scs_inference,[],[89,86,697,386,236,77,119,76])).
% 1.94/2.05 cnf(733,plain,
% 1.94/2.05 (P10(f24(f24(f24(x7331,f23(f5(a1,x7332),f5(a1,x7332))),f23(x7333,x7334)),f23(x7335,x7336)),f5(a1,x7337),a1)),
% 1.94/2.05 inference(scs_inference,[],[89,86,697,386,619,236,417,78,77,119,76,115,55])).
% 1.94/2.05 cnf(734,plain,
% 1.94/2.05 (E(f5(a1,x7341),a1)),
% 1.94/2.05 inference(rename_variables,[],[78])).
% 1.94/2.05 cnf(736,plain,
% 1.94/2.05 (~E(f26(f24(x7361,f23(x7362,f5(a1,x7363))),x7362),f24(x7364,f23(x7365,x7366)))),
% 1.94/2.05 inference(scs_inference,[],[89,86,697,579,386,619,236,417,635,78,77,119,76,115,55,59,2])).
% 1.94/2.05 cnf(737,plain,
% 1.94/2.05 (P18(f6(f6(x7371,f6(f6(x7372,x7373),f5(a1,x7374))),x7375),f6(f6(x7372,x7373),a1))),
% 1.94/2.05 inference(scs_inference,[],[89,86,601,697,579,386,619,240,236,417,635,78,77,119,76,115,55,59,2,65])).
% 1.94/2.05 cnf(742,plain,
% 1.94/2.05 (~P18(f28(f24(f22(f6(f17(f30(x7421,a1,x7422)),x7423),x7423),f23(x7424,x7425)),x7424),x7426)),
% 1.94/2.05 inference(scs_inference,[],[89,86,725,601,697,579,386,656,619,240,236,417,635,78,734,77,119,76,115,55,59,2,65,54,64])).
% 1.94/2.05 cnf(744,plain,
% 1.94/2.05 (~E(f22(f6(a4,x7441),x7441),f6(x7442,x7443))),
% 1.94/2.05 inference(scs_inference,[],[89,83,86,725,601,697,608,579,386,656,619,240,236,417,635,78,734,77,119,76,115,55,59,2,65,54,64,3])).
% 1.94/2.05 cnf(745,plain,
% 1.94/2.05 (~E(f22(f6(f22(f6(a4,x7451),x7451),x7452),x7452),f6(x7453,x7454))),
% 1.94/2.05 inference(rename_variables,[],[608])).
% 1.94/2.05 cnf(749,plain,
% 1.94/2.05 (P4(f6(f6(x7491,f6(f6(x7492,x7493),f5(a1,x7494))),x7495),f6(f6(x7492,x7493),a1))),
% 1.94/2.05 inference(scs_inference,[],[89,83,86,725,601,697,608,579,386,656,660,619,240,236,417,635,78,734,77,119,76,115,55,59,2,65,54,64,3,124,110])).
% 1.94/2.05 cnf(751,plain,
% 1.94/2.05 (P4(f6(x7511,f6(f6(x7512,x7513),f5(a1,x7514))),f6(f6(x7512,x7513),a1))),
% 1.94/2.05 inference(scs_inference,[],[89,83,86,725,601,697,608,745,579,386,656,660,619,240,236,417,635,78,734,77,119,76,115,55,59,2,65,54,64,3,124,110,136])).
% 1.94/2.05 cnf(766,plain,
% 1.94/2.05 (E(f30(x7661,a1,a3),f8(f30(x7661,a1,x7662)))),
% 1.94/2.05 inference(rename_variables,[],[689])).
% 1.94/2.05 cnf(768,plain,
% 1.94/2.05 (P6(f24(f24(f24(x7681,f23(f5(a1,x7682),x7683)),f23(x7684,x7685)),f23(x7686,x7687)),a1)),
% 1.94/2.05 inference(scs_inference,[],[90,703,708,689,302,125,48,141])).
% 1.94/2.05 cnf(775,plain,
% 1.94/2.05 (~P18(f26(f24(x7751,f23(x7752,a4)),x7752),x7753)),
% 1.94/2.05 inference(scs_inference,[],[90,84,98,684,744,703,708,689,302,125,48,141,138,155,110])).
% 1.94/2.05 cnf(781,plain,
% 1.94/2.05 (E(f22(f6(x7811,x7812),x7812),x7811)),
% 1.94/2.05 inference(rename_variables,[],[83])).
% 1.94/2.05 cnf(787,plain,
% 1.94/2.05 (E(a2,f7(f30(x7871,a1,x7872)))),
% 1.94/2.05 inference(scs_inference,[],[168,94,95,90,84,88,89,96,87,98,83,742,684,744,703,708,689,302,125,48,141,138,155,110,136,52,115,51,74,2])).
% 1.94/2.05 cnf(788,plain,
% 1.94/2.05 (P18(f6(f6(x7881,f6(f6(x7882,x7883),f5(a1,x7884))),x7885),f6(f6(x7882,a1),x7883))),
% 1.94/2.05 inference(scs_inference,[],[168,94,95,90,84,88,89,96,87,98,83,742,684,744,737,703,708,689,302,125,48,141,138,155,110,136,52,115,51,74,2,65])).
% 1.94/2.05 cnf(790,plain,
% 1.94/2.05 (E(f6(f6(x7901,x7902),x7903),f6(f6(x7901,x7903),x7902))),
% 1.94/2.05 inference(rename_variables,[],[84])).
% 1.94/2.05 cnf(793,plain,
% 1.94/2.05 (~E(f6(x7931,f5(a1,x7932)),f28(f24(f22(f6(f17(f30(x7933,a1,x7934)),x7935),x7935),f23(x7936,x7937)),x7936))),
% 1.94/2.05 inference(scs_inference,[],[168,94,95,90,84,790,88,89,96,87,98,83,781,742,684,744,737,703,708,689,296,302,125,48,141,138,155,110,136,52,115,51,74,2,65,3,64])).
% 1.94/2.05 cnf(809,plain,
% 1.94/2.05 (~P13(f17(f8(f30(x8091,a1,x8092))),x8093)),
% 1.94/2.05 inference(scs_inference,[],[168,94,95,90,84,790,88,89,96,87,98,83,781,525,742,684,680,744,728,737,749,703,708,186,689,296,302,125,48,141,138,155,110,136,52,115,51,74,2,65,3,64,117,108,132,131,137,147,130,111])).
% 1.94/2.05 cnf(825,plain,
% 1.94/2.05 (E(f26(x8251,f6(f6(x8252,x8253),x8254)),f26(x8251,f6(f6(x8252,x8254),x8253)))),
% 1.94/2.05 inference(scs_inference,[],[168,94,95,90,84,790,88,89,96,87,98,83,781,525,742,490,627,684,680,744,728,737,749,703,708,186,689,296,302,125,48,141,138,155,110,136,52,115,51,74,2,65,3,64,117,108,132,131,137,147,130,111,123,120,112,151,37,31,41,26,24,18])).
% 1.94/2.05 cnf(848,plain,
% 1.94/2.05 (E(f30(f6(f6(x8481,x8482),x8483),x8484,x8485),f30(f6(f6(x8481,x8483),x8482),x8484,x8485))),
% 1.94/2.05 inference(scs_inference,[],[168,94,95,90,84,790,88,89,96,87,98,83,781,525,742,490,627,684,680,669,744,728,737,749,703,708,186,689,296,302,125,48,141,138,155,110,136,52,115,51,74,2,65,3,64,117,108,132,131,137,147,130,111,123,120,112,151,37,31,41,26,24,18,17,14,10,9,150,30,25,19,45,44,42,40,39,36,35,33,29,28,16,15,13,12])).
% 1.94/2.05 cnf(849,plain,
% 1.94/2.05 (E(f22(x8491,f6(f6(x8492,x8493),x8494)),f22(x8491,f6(f6(x8492,x8494),x8493)))),
% 1.94/2.05 inference(scs_inference,[],[168,94,95,90,84,790,88,89,96,87,98,83,781,525,742,490,627,684,680,669,744,728,737,749,703,708,186,689,296,302,125,48,141,138,155,110,136,52,115,51,74,2,65,3,64,117,108,132,131,137,147,130,111,123,120,112,151,37,31,41,26,24,18,17,14,10,9,150,30,25,19,45,44,42,40,39,36,35,33,29,28,16,15,13,12,11])).
% 1.94/2.05 cnf(851,plain,
% 1.94/2.05 (E(f6(x8511,f6(f6(x8512,x8513),x8514)),f6(x8511,f6(f6(x8512,x8514),x8513)))),
% 1.94/2.05 inference(scs_inference,[],[168,94,95,90,84,790,88,89,96,87,98,83,781,525,742,490,627,684,680,669,744,728,737,749,703,708,186,689,296,302,125,48,141,138,155,110,136,52,115,51,74,2,65,3,64,117,108,132,131,137,147,130,111,123,120,112,151,37,31,41,26,24,18,17,14,10,9,150,30,25,19,45,44,42,40,39,36,35,33,29,28,16,15,13,12,11,8,7])).
% 1.94/2.05 cnf(865,plain,
% 1.94/2.05 (P4(f6(f6(x8651,f17(f30(x8652,a1,x8653))),x8654),a4)),
% 1.94/2.05 inference(scs_inference,[],[168,94,95,90,84,790,88,89,96,87,98,83,781,525,742,490,627,684,680,669,744,728,737,749,726,703,708,186,689,296,302,173,125,48,141,138,155,110,136,52,115,51,74,2,65,3,64,117,108,132,131,137,147,130,111,123,120,112,151,37,31,41,26,24,18,17,14,10,9,150,30,25,19,45,44,42,40,39,36,35,33,29,28,16,15,13,12,11,8,7,4,32,43,38,34,27,23,21,20,6,5,126,133])).
% 1.94/2.05 cnf(871,plain,
% 1.94/2.05 (P6(f24(x8711,f23(f8(f30(x8712,a1,x8713)),x8714)),f8(f30(x8712,a1,x8715)))),
% 1.94/2.05 inference(scs_inference,[],[168,94,95,90,84,790,88,89,96,87,97,98,83,781,525,742,490,627,684,680,669,744,728,737,749,726,703,708,186,689,766,296,302,450,173,125,48,141,138,155,110,136,52,115,51,74,2,65,3,64,117,108,132,131,137,147,130,111,123,120,112,151,37,31,41,26,24,18,17,14,10,9,150,30,25,19,45,44,42,40,39,36,35,33,29,28,16,15,13,12,11,8,7,4,32,43,38,34,27,23,21,20,6,5,126,133,146,22,57])).
% 1.94/2.05 cnf(884,plain,
% 1.94/2.05 (~P4(f6(f6(f6(a4,f6(x8841,x8842)),f6(x8843,x8844)),f6(x8845,x8846)),f22(f6(f22(f6(a4,x8847),x8847),x8848),x8848))),
% 1.94/2.05 inference(scs_inference,[],[788,787,671,188,186,580,173,125,61,110,136])).
% 1.94/2.05 cnf(894,plain,
% 1.94/2.05 (P4(f6(x8941,f6(f6(x8942,x8943),f5(a1,x8944))),f6(f6(x8942,a1),x8943))),
% 1.94/2.05 inference(scs_inference,[],[84,87,97,788,871,865,787,671,751,188,252,186,580,173,125,61,110,136,146,115,70,59])).
% 1.94/2.05 cnf(895,plain,
% 1.94/2.05 (E(f6(f6(x8951,x8952),x8953),f6(f6(x8951,x8953),x8952))),
% 1.94/2.05 inference(rename_variables,[],[84])).
% 1.94/2.05 cnf(898,plain,
% 1.94/2.05 (E(f28(f24(x8981,f23(x8982,x8983)),x8982),x8981)),
% 1.94/2.05 inference(rename_variables,[],[86])).
% 1.94/2.05 cnf(902,plain,
% 1.94/2.05 (~P18(f28(f24(f26(f24(x9021,f23(x9022,a4)),x9022),f23(x9023,x9024)),x9023),x9025)),
% 1.94/2.05 inference(scs_inference,[],[84,895,87,97,86,898,775,793,404,788,465,871,865,787,671,751,188,252,186,580,173,125,61,110,136,146,115,70,59,2,65,3,64])).
% 1.94/2.05 cnf(908,plain,
% 1.94/2.05 (P10(f24(f24(f24(f24(x9081,f23(f5(a1,x9082),f5(a1,x9082))),f23(x9083,x9084)),f23(x9085,x9086)),f23(x9087,x9088)),f5(a1,x9089),a1)),
% 1.94/2.05 inference(scs_inference,[],[84,895,87,97,86,898,775,809,793,404,788,465,871,768,865,787,671,751,188,733,252,186,580,173,125,61,110,136,146,115,70,59,2,65,3,64,106,145,152])).
% 1.94/2.05 cnf(918,plain,
% 1.94/2.05 (E(f30(f6(f6(x9181,x9182),x9183),x9184,x9185),f30(f6(f6(x9181,x9183),x9182),x9184,x9185))),
% 1.94/2.05 inference(rename_variables,[],[848])).
% 1.94/2.05 cnf(922,plain,
% 1.94/2.05 (P9(x9221,f8(x9221))),
% 1.94/2.05 inference(rename_variables,[],[509])).
% 1.94/2.05 cnf(932,plain,
% 1.94/2.05 (E(f26(f24(x9321,f23(x9322,x9323)),x9322),x9323)),
% 1.94/2.05 inference(rename_variables,[],[87])).
% 1.94/2.05 cnf(948,plain,
% 1.94/2.05 (E(f22(f6(x9481,x9482),x9482),x9481)),
% 1.94/2.05 inference(rename_variables,[],[83])).
% 1.94/2.05 cnf(959,plain,
% 1.94/2.05 ($false),
% 1.94/2.05 inference(scs_inference,[],[82,99,85,166,89,84,88,96,87,932,83,948,163,91,509,922,902,736,884,458,463,894,908,825,848,918,849,851,710,470,492,787,708,603,703,576,250,397,329,144,47,155,50,110,119,49,46,66,67,136,146,52,115,51,74,70,57,55,59,65,3,2]),
% 1.94/2.05 ['proof']).
% 1.94/2.05 % SZS output end Proof
% 1.94/2.05 % Total time :1.390000s
%------------------------------------------------------------------------------