TSTP Solution File: SWV417+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV417+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 : n011.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 21:33:31 EDT 2023
% Result : Theorem 1.16s 1.25s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SWV417+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34 % Computer : n011.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Aug 29 06:36:11 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.62 start to proof:theBenchmark
% 1.16/1.25 %-------------------------------------------
% 1.16/1.25 % File :CSE---1.6
% 1.16/1.25 % Problem :theBenchmark
% 1.16/1.25 % Transform :cnf
% 1.16/1.25 % Format :tptp:raw
% 1.16/1.25 % Command :java -jar mcs_scs.jar %d %s
% 1.16/1.25
% 1.16/1.25 % Result :Theorem 0.560000s
% 1.16/1.25 % Output :CNFRefutation 0.560000s
% 1.16/1.25 %-------------------------------------------
% 1.16/1.25 %--------------------------------------------------------------------------
% 1.16/1.25 % File : SWV417+1 : TPTP v8.1.2. Released v3.3.0.
% 1.16/1.25 % Domain : Software Verification
% 1.16/1.25 % Problem : Priority queue checker: Formula (9)
% 1.16/1.25 % Version : [dNP05] axioms.
% 1.16/1.25 % English :
% 1.16/1.25
% 1.16/1.25 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 1.16/1.25 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 1.16/1.25 % Source : [Pis06]
% 1.16/1.25 % Names : cpq004 [Pis06]
% 1.16/1.25
% 1.16/1.25 % Status : Theorem
% 1.16/1.25 % Rating : 0.25 v8.1.0, 0.28 v7.5.0, 0.31 v7.4.0, 0.23 v7.3.0, 0.21 v7.1.0, 0.26 v7.0.0, 0.30 v6.4.0, 0.35 v6.3.0, 0.38 v6.2.0, 0.40 v6.0.0, 0.35 v5.5.0, 0.37 v5.4.0, 0.43 v5.3.0, 0.52 v5.2.0, 0.40 v5.1.0, 0.38 v5.0.0, 0.33 v4.1.0, 0.35 v4.0.0, 0.38 v3.7.0, 0.35 v3.5.0, 0.37 v3.4.0, 0.42 v3.3.0
% 1.16/1.25 % Syntax : Number of formulae : 64 ( 23 unt; 0 def)
% 1.16/1.25 % Number of atoms : 134 ( 41 equ)
% 1.16/1.25 % Maximal formula atoms : 4 ( 2 avg)
% 1.16/1.25 % Number of connectives : 86 ( 16 ~; 4 |; 22 &)
% 1.16/1.25 % ( 16 <=>; 28 =>; 0 <=; 0 <~>)
% 1.16/1.25 % Maximal formula depth : 9 ( 5 avg)
% 1.16/1.25 % Maximal term depth : 5 ( 1 avg)
% 1.16/1.25 % Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% 1.16/1.25 % Number of functors : 26 ( 26 usr; 4 con; 0-3 aty)
% 1.16/1.25 % Number of variables : 170 ( 166 !; 4 ?)
% 1.16/1.25 % SPC : FOF_THM_RFO_SEQ
% 1.16/1.25
% 1.16/1.25 % Comments :
% 1.16/1.25 %--------------------------------------------------------------------------
% 1.16/1.25 %----Include the axioms about priority queues and checked priority queues
% 1.16/1.25 include('Axioms/SWV007+0.ax').
% 1.16/1.25 include('Axioms/SWV007+1.ax').
% 1.16/1.25 include('Axioms/SWV007+2.ax').
% 1.16/1.25 include('Axioms/SWV007+3.ax').
% 1.16/1.25 include('Axioms/SWV007+4.ax').
% 1.16/1.25 %--------------------------------------------------------------------------
% 1.16/1.25 %----lemma_pi_min_elem (cpq_l007.p)
% 1.16/1.25 fof(main4_l7,lemma,
% 1.16/1.25 ! [U,V,W] :
% 1.16/1.25 ( phi(findmin_cpq_eff(triple(U,V,W)))
% 1.16/1.25 => pi_sharp_find_min(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ) ).
% 1.16/1.25
% 1.16/1.25 fof(co4,conjecture,
% 1.16/1.25 ! [U,V,W] :
% 1.16/1.25 ( pi_find_min(triple(U,V,W))
% 1.16/1.25 => ( phi(findmin_cpq_eff(triple(U,V,W)))
% 1.16/1.25 => ? [X] :
% 1.16/1.25 ( pi_sharp_find_min(i(triple(U,V,W)),X)
% 1.16/1.25 & findmin_cpq_res(triple(U,V,W)) = findmin_pq_res(i(triple(U,V,W)),X) ) ) ) ).
% 1.16/1.25
% 1.16/1.25 %--------------------------------------------------------------------------
% 1.16/1.25 %-------------------------------------------
% 1.16/1.25 % Proof found
% 1.16/1.25 % SZS status Theorem for theBenchmark
% 1.16/1.25 % SZS output start Proof
% 1.16/1.26 %ClaNum:165(EqnAxiom:77)
% 1.16/1.26 %VarNum:474(SingletonVarNum:224)
% 1.16/1.26 %MaxLitNum:4
% 1.16/1.26 %MaxfuncDepth:4
% 1.16/1.26 %SharedTerms:15
% 1.16/1.26 %goalClause: 88 93 165
% 1.16/1.26 %singleGoalClaCount:2
% 1.16/1.26 [96]~P2(a4)
% 1.16/1.26 [97]~P7(a1)
% 1.16/1.26 [88]P10(f29(a7,a12,a13))
% 1.16/1.26 [93]P11(f15(f29(a7,a12,a13)))
% 1.16/1.26 [79]P1(a2,x791)
% 1.16/1.26 [80]P1(x801,x801)
% 1.16/1.26 [81]P9(x811,x811)
% 1.16/1.26 [98]~P4(a4,x981)
% 1.16/1.26 [99]~P6(a1,x991)
% 1.16/1.26 [78]E(f5(a1,x781),a1)
% 1.16/1.26 [100]~P12(a1,x1001,x1002)
% 1.16/1.26 [82]P2(f6(x821,x822))
% 1.16/1.26 [91]P3(f29(x911,a1,x912))
% 1.16/1.26 [101]~P13(f29(x1011,x1012,a3))
% 1.16/1.26 [83]E(f21(f6(x831,x832),x832),x831)
% 1.16/1.26 [89]E(f14(f29(x891,a1,x892)),a2)
% 1.16/1.26 [90]E(f16(f29(x901,a1,x902)),a4)
% 1.16/1.26 [92]E(f15(f29(x921,a1,x922)),f29(x921,a1,a3))
% 1.16/1.26 [84]E(f6(f6(x841,x842),x843),f6(f6(x841,x843),x842))
% 1.16/1.26 [85]P7(f23(x851,f22(x852,x853)))
% 1.16/1.26 [86]E(f27(f23(x861,f22(x862,x863)),x862),x861)
% 1.16/1.26 [87]E(f25(f23(x871,f22(x872,x873)),x872),x873)
% 1.16/1.26 [94]E(f29(f24(x941,x942),f23(x943,f22(x942,a2)),x944),f20(f29(x941,x943,x944),x942))
% 1.16/1.26 [95]E(f16(f29(x951,f23(x952,f22(x953,x954)),x955)),f6(f16(f29(x951,x952,x955)),x953))
% 1.16/1.26 [102]~P11(x1021)+P3(f8(x1021))
% 1.16/1.26 [103]~P11(x1031)+P13(f8(x1031))
% 1.16/1.26 [104]~P11(x1041)+P9(x1041,f8(x1041))
% 1.16/1.26 [106]~P10(x1061)+P14(f16(x1061),f9(x1061))
% 1.16/1.26 [107]~P15(x1071)+P14(f16(x1071),f11(x1071))
% 1.16/1.26 [165]~P14(f16(f29(a7,a12,a13)),x1651)+~E(f18(f16(f29(a7,a12,a13)),x1651),f14(f29(a7,a12,a13)))
% 1.16/1.26 [105]P1(x1052,x1051)+P1(x1051,x1052)
% 1.16/1.26 [110]~P17(x1101,x1102)+P1(x1101,x1102)
% 1.16/1.26 [111]~P18(x1111,x1112)+P4(x1111,x1112)
% 1.16/1.26 [112]~P14(x1121,x1122)+P4(x1121,x1122)
% 1.16/1.26 [113]~P19(x1131,x1132)+P4(x1131,x1132)
% 1.16/1.26 [114]~P14(x1141,x1142)+P8(x1141,x1142)
% 1.16/1.26 [115]~P19(x1151,x1152)+P8(x1151,x1152)
% 1.16/1.26 [116]~P4(x1161,x1162)+P18(x1161,x1162)
% 1.16/1.26 [121]~P17(x1212,x1211)+~P1(x1211,x1212)
% 1.16/1.26 [108]P10(x1081)+~P14(f16(x1081),x1082)
% 1.16/1.26 [109]P15(x1091)+~P14(f16(x1091),x1092)
% 1.16/1.26 [118]~P9(x1181,x1182)+P9(x1181,f15(x1182))
% 1.16/1.26 [119]~P16(x1191,x1192)+P18(f16(x1191),x1192)
% 1.16/1.26 [122]P16(x1221,x1222)+~P18(f16(x1221),x1222)
% 1.16/1.26 [124]P8(x1241,x1242)+P4(x1241,f10(x1241,x1242))
% 1.16/1.26 [136]P8(x1361,x1362)+~P1(x1362,f10(x1361,x1362))
% 1.16/1.26 [138]~P9(x1381,x1382)+P9(x1381,f26(f15(x1382),f14(x1382)))
% 1.16/1.26 [120]~E(x1202,x1203)+P4(f6(x1201,x1202),x1203)
% 1.16/1.26 [132]~P9(x1321,x1322)+P9(x1321,f20(x1322,x1323))
% 1.16/1.26 [133]~P9(x1331,x1332)+P9(x1331,f26(x1332,x1333))
% 1.16/1.26 [134]~P4(x1341,x1343)+P4(f6(x1341,x1342),x1343)
% 1.16/1.26 [141]E(x1411,a3)+P13(f29(x1412,x1413,x1411))
% 1.16/1.26 [143]E(x1431,a1)+E(f14(f29(x1432,x1431,x1433)),f19(x1432))
% 1.16/1.26 [164]P14(f16(f29(x1641,x1642,x1643)),f14(f29(x1641,x1642,x1643)))+~P11(f15(f29(x1641,x1642,x1643)))
% 1.16/1.26 [146]~P6(x1462,x1464)+P5(f29(x1461,x1462,x1463),x1464)
% 1.16/1.26 [152]P6(x1521,x1522)+~P5(f29(x1523,x1521,x1524),x1522)
% 1.16/1.26 [139]~E(x1392,x1394)+P6(f23(x1391,f22(x1392,x1393)),x1394)
% 1.16/1.26 [142]~P6(x1421,x1424)+P6(f23(x1421,f22(x1422,x1423)),x1424)
% 1.16/1.26 [151]P6(x1512,x1514)+E(f26(f29(x1511,x1512,x1513),x1514),f29(x1511,x1512,a3))
% 1.16/1.26 [148]~P1(x1482,x1484)+E(f23(f5(x1481,x1482),f22(x1483,x1484)),f5(f23(x1481,f22(x1483,x1484)),x1482))
% 1.16/1.26 [149]~P17(x1493,x1494)+E(f5(f23(x1491,f22(x1492,x1493)),x1494),f23(f5(x1491,x1494),f22(x1492,x1494)))
% 1.16/1.26 [153]~P12(x1531,x1534,x1535)+P12(f23(x1531,f22(x1532,x1533)),x1534,x1535)
% 1.16/1.26 [161]~P17(x1611,x1612)+~P3(f29(x1613,f23(x1614,f22(x1611,x1612)),x1615))
% 1.16/1.26 [123]P17(x1232,x1231)+~P1(x1232,x1231)+P1(x1231,x1232)
% 1.16/1.26 [127]~P4(x1271,x1272)+~P8(x1271,x1272)+P14(x1271,x1272)
% 1.16/1.26 [128]~P4(x1281,x1282)+~P8(x1281,x1282)+P19(x1281,x1282)
% 1.16/1.26 [129]~P4(x1291,x1292)+~P8(x1291,x1292)+E(f17(x1291,x1292),x1291)
% 1.16/1.26 [130]~P4(x1301,x1302)+~P8(x1301,x1302)+E(f18(x1301,x1302),x1302)
% 1.16/1.26 [131]~P4(x1311,x1312)+~P8(x1311,x1312)+E(f30(x1311,x1312),x1312)
% 1.16/1.26 [135]~P4(x1351,x1352)+~P8(x1351,x1352)+E(f31(x1351,x1352),f21(x1351,x1352))
% 1.16/1.26 [125]~P8(x1253,x1251)+P1(x1251,x1252)+~P4(x1253,x1252)
% 1.16/1.26 [126]~P1(x1261,x1263)+P1(x1261,x1262)+~P1(x1263,x1262)
% 1.16/1.26 [137]E(x1371,x1372)+P4(x1373,x1372)+~P4(f6(x1373,x1371),x1372)
% 1.16/1.26 [140]~P4(x1403,x1401)+E(x1401,x1402)+E(f21(f6(x1403,x1402),x1401),f6(f21(x1403,x1401),x1402))
% 1.16/1.26 [154]P6(x1541,f19(x1542))+E(x1541,a1)+E(f15(f29(x1542,x1541,x1543)),f29(x1542,f5(x1541,f19(x1542)),a3))
% 1.16/1.26 [147]E(x1471,x1472)+P6(x1473,x1472)+~P6(f23(x1473,f22(x1471,x1474)),x1472)
% 1.16/1.26 [157]~P6(x1572,x1574)+~P17(x1574,f25(x1572,x1574))+E(f26(f29(x1571,x1572,x1573),x1574),f29(f28(x1571,x1574),f27(x1572,x1574),a3))
% 1.16/1.26 [158]~P6(x1583,x1582)+~P1(f25(x1583,x1582),x1582)+E(f29(f28(x1581,x1582),f27(x1583,x1582),x1584),f26(f29(x1581,x1583,x1584),x1582))
% 1.16/1.26 [144]~P6(x1443,x1442)+E(x1441,x1442)+E(f25(f23(x1443,f22(x1441,x1444)),x1442),f25(x1443,x1442))
% 1.16/1.26 [150]~P6(x1503,x1502)+E(x1501,x1502)+E(f27(f23(x1503,f22(x1501,x1504)),x1502),f23(f27(x1503,x1502),f22(x1501,x1504)))
% 1.16/1.26 [145]~E(x1453,x1455)+~E(x1452,x1454)+P12(f23(x1451,f22(x1452,x1453)),x1454,x1455)
% 1.16/1.26 [155]E(x1551,x1552)+P12(x1553,x1554,x1552)+~P12(f23(x1553,f22(x1555,x1551)),x1554,x1552)
% 1.16/1.26 [156]E(x1561,x1562)+P12(x1563,x1562,x1564)+~P12(f23(x1563,f22(x1561,x1565)),x1562,x1564)
% 1.16/1.26 [162]~P1(x1624,x1623)+~P3(f29(x1621,x1622,x1625))+P3(f29(x1621,f23(x1622,f22(x1623,x1624)),x1625))
% 1.16/1.26 [163]~P1(x1634,x1635)+P3(f29(x1631,x1632,x1633))+~P3(f29(x1631,f23(x1632,f22(x1635,x1634)),x1633))
% 1.16/1.26 [117]~P13(x1172)+~P9(x1171,x1172)+P11(x1171)+~P3(x1172)
% 1.16/1.26 [159]~P6(x1591,f19(x1592))+E(x1591,a1)+~P17(f19(x1592),f25(x1591,f19(x1592)))+E(f15(f29(x1592,x1591,x1593)),f29(x1592,f5(x1591,f19(x1592)),a3))
% 1.16/1.26 [160]~P6(x1601,f19(x1602))+E(x1601,a1)+~P1(f25(x1601,f19(x1602)),f19(x1602))+E(f29(x1602,f5(x1601,f19(x1602)),x1603),f15(f29(x1602,x1601,x1603)))
% 1.16/1.26 %EqnAxiom
% 1.16/1.26 [1]E(x11,x11)
% 1.16/1.26 [2]E(x22,x21)+~E(x21,x22)
% 1.16/1.26 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.16/1.26 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 1.16/1.26 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 1.16/1.26 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 1.16/1.26 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 1.16/1.26 [8]~E(x81,x82)+E(f15(x81),f15(x82))
% 1.16/1.26 [9]~E(x91,x92)+E(f21(x91,x93),f21(x92,x93))
% 1.16/1.26 [10]~E(x101,x102)+E(f21(x103,x101),f21(x103,x102))
% 1.16/1.26 [11]~E(x111,x112)+E(f29(x111,x113,x114),f29(x112,x113,x114))
% 1.16/1.26 [12]~E(x121,x122)+E(f29(x123,x121,x124),f29(x123,x122,x124))
% 1.16/1.26 [13]~E(x131,x132)+E(f29(x133,x134,x131),f29(x133,x134,x132))
% 1.16/1.26 [14]~E(x141,x142)+E(f14(x141),f14(x142))
% 1.16/1.26 [15]~E(x151,x152)+E(f19(x151),f19(x152))
% 1.16/1.26 [16]~E(x161,x162)+E(f16(x161),f16(x162))
% 1.16/1.26 [17]~E(x171,x172)+E(f22(x171,x173),f22(x172,x173))
% 1.16/1.26 [18]~E(x181,x182)+E(f22(x183,x181),f22(x183,x182))
% 1.16/1.26 [19]~E(x191,x192)+E(f23(x191,x193),f23(x192,x193))
% 1.16/1.26 [20]~E(x201,x202)+E(f23(x203,x201),f23(x203,x202))
% 1.16/1.26 [21]~E(x211,x212)+E(f26(x211,x213),f26(x212,x213))
% 1.16/1.26 [22]~E(x221,x222)+E(f26(x223,x221),f26(x223,x222))
% 1.16/1.26 [23]~E(x231,x232)+E(f10(x231,x233),f10(x232,x233))
% 1.16/1.26 [24]~E(x241,x242)+E(f10(x243,x241),f10(x243,x242))
% 1.16/1.26 [25]~E(x251,x252)+E(f27(x251,x253),f27(x252,x253))
% 1.16/1.26 [26]~E(x261,x262)+E(f27(x263,x261),f27(x263,x262))
% 1.16/1.26 [27]~E(x271,x272)+E(f25(x271,x273),f25(x272,x273))
% 1.16/1.26 [28]~E(x281,x282)+E(f25(x283,x281),f25(x283,x282))
% 1.16/1.26 [29]~E(x291,x292)+E(f11(x291),f11(x292))
% 1.16/1.26 [30]~E(x301,x302)+E(f18(x301,x303),f18(x302,x303))
% 1.16/1.26 [31]~E(x311,x312)+E(f18(x313,x311),f18(x313,x312))
% 1.16/1.26 [32]~E(x321,x322)+E(f31(x321,x323),f31(x322,x323))
% 1.16/1.26 [33]~E(x331,x332)+E(f31(x333,x331),f31(x333,x332))
% 1.16/1.26 [34]~E(x341,x342)+E(f20(x341,x343),f20(x342,x343))
% 1.16/1.26 [35]~E(x351,x352)+E(f20(x353,x351),f20(x353,x352))
% 1.16/1.26 [36]~E(x361,x362)+E(f8(x361),f8(x362))
% 1.16/1.26 [37]~E(x371,x372)+E(f17(x371,x373),f17(x372,x373))
% 1.16/1.26 [38]~E(x381,x382)+E(f17(x383,x381),f17(x383,x382))
% 1.16/1.26 [39]~E(x391,x392)+E(f24(x391,x393),f24(x392,x393))
% 1.16/1.26 [40]~E(x401,x402)+E(f24(x403,x401),f24(x403,x402))
% 1.16/1.26 [41]~E(x411,x412)+E(f9(x411),f9(x412))
% 1.16/1.26 [42]~E(x421,x422)+E(f28(x421,x423),f28(x422,x423))
% 1.16/1.26 [43]~E(x431,x432)+E(f28(x433,x431),f28(x433,x432))
% 1.16/1.26 [44]~E(x441,x442)+E(f30(x441,x443),f30(x442,x443))
% 1.16/1.26 [45]~E(x451,x452)+E(f30(x453,x451),f30(x453,x452))
% 1.16/1.26 [46]P1(x462,x463)+~E(x461,x462)+~P1(x461,x463)
% 1.16/1.26 [47]P1(x473,x472)+~E(x471,x472)+~P1(x473,x471)
% 1.16/1.26 [48]P14(x482,x483)+~E(x481,x482)+~P14(x481,x483)
% 1.16/1.26 [49]P14(x493,x492)+~E(x491,x492)+~P14(x493,x491)
% 1.16/1.26 [50]P9(x502,x503)+~E(x501,x502)+~P9(x501,x503)
% 1.16/1.26 [51]P9(x513,x512)+~E(x511,x512)+~P9(x513,x511)
% 1.16/1.26 [52]~P2(x521)+P2(x522)+~E(x521,x522)
% 1.16/1.26 [53]~P7(x531)+P7(x532)+~E(x531,x532)
% 1.16/1.26 [54]~P10(x541)+P10(x542)+~E(x541,x542)
% 1.16/1.26 [55]~P3(x551)+P3(x552)+~E(x551,x552)
% 1.16/1.26 [56]~P11(x561)+P11(x562)+~E(x561,x562)
% 1.16/1.26 [57]P5(x572,x573)+~E(x571,x572)+~P5(x571,x573)
% 1.16/1.26 [58]P5(x583,x582)+~E(x581,x582)+~P5(x583,x581)
% 1.16/1.26 [59]P12(x592,x593,x594)+~E(x591,x592)+~P12(x591,x593,x594)
% 1.16/1.26 [60]P12(x603,x602,x604)+~E(x601,x602)+~P12(x603,x601,x604)
% 1.16/1.26 [61]P12(x613,x614,x612)+~E(x611,x612)+~P12(x613,x614,x611)
% 1.16/1.26 [62]P4(x622,x623)+~E(x621,x622)+~P4(x621,x623)
% 1.16/1.26 [63]P4(x633,x632)+~E(x631,x632)+~P4(x633,x631)
% 1.16/1.26 [64]P6(x642,x643)+~E(x641,x642)+~P6(x641,x643)
% 1.16/1.26 [65]P6(x653,x652)+~E(x651,x652)+~P6(x653,x651)
% 1.16/1.26 [66]P8(x662,x663)+~E(x661,x662)+~P8(x661,x663)
% 1.16/1.26 [67]P8(x673,x672)+~E(x671,x672)+~P8(x673,x671)
% 1.16/1.26 [68]~P13(x681)+P13(x682)+~E(x681,x682)
% 1.16/1.26 [69]P17(x692,x693)+~E(x691,x692)+~P17(x691,x693)
% 1.16/1.26 [70]P17(x703,x702)+~E(x701,x702)+~P17(x703,x701)
% 1.16/1.26 [71]P19(x712,x713)+~E(x711,x712)+~P19(x711,x713)
% 1.16/1.26 [72]P19(x723,x722)+~E(x721,x722)+~P19(x723,x721)
% 1.16/1.26 [73]~P15(x731)+P15(x732)+~E(x731,x732)
% 1.16/1.26 [74]P18(x742,x743)+~E(x741,x742)+~P18(x741,x743)
% 1.16/1.26 [75]P18(x753,x752)+~E(x751,x752)+~P18(x753,x751)
% 1.16/1.26 [76]P16(x762,x763)+~E(x761,x762)+~P16(x761,x763)
% 1.16/1.26 [77]P16(x773,x772)+~E(x771,x772)+~P16(x773,x771)
% 1.16/1.26
% 1.16/1.26 %-------------------------------------------
% 1.16/1.26 cnf(166,plain,
% 1.16/1.26 (E(a1,f5(a1,x1661))),
% 1.16/1.26 inference(scs_inference,[],[78,2])).
% 1.16/1.26 cnf(167,plain,
% 1.16/1.26 (~P17(x1671,x1671)),
% 1.16/1.26 inference(scs_inference,[],[80,78,2,121])).
% 1.16/1.26 cnf(169,plain,
% 1.16/1.26 (~P19(a4,x1691)),
% 1.16/1.26 inference(scs_inference,[],[80,98,78,2,121,113])).
% 1.16/1.26 cnf(171,plain,
% 1.16/1.26 (~P14(a4,x1711)),
% 1.16/1.26 inference(scs_inference,[],[80,98,78,2,121,113,112])).
% 1.16/1.26 cnf(173,plain,
% 1.16/1.26 (~P18(a4,x1731)),
% 1.16/1.26 inference(scs_inference,[],[80,98,78,2,121,113,112,111])).
% 1.16/1.26 cnf(175,plain,
% 1.16/1.26 (P8(x1751,a2)),
% 1.16/1.26 inference(scs_inference,[],[80,79,98,78,2,121,113,112,111,136])).
% 1.16/1.26 cnf(179,plain,
% 1.16/1.26 (~P4(a4,x1791)),
% 1.16/1.26 inference(rename_variables,[],[98])).
% 1.16/1.26 cnf(181,plain,
% 1.16/1.26 (P14(f16(f29(a7,a12,a13)),f14(f29(a7,a12,a13)))),
% 1.16/1.26 inference(scs_inference,[],[80,79,98,93,78,2,121,113,112,111,136,124,164])).
% 1.16/1.26 cnf(184,plain,
% 1.16/1.26 (E(f21(f6(x1841,x1842),x1842),x1841)),
% 1.16/1.26 inference(rename_variables,[],[83])).
% 1.16/1.26 cnf(186,plain,
% 1.16/1.26 (~P2(f21(f6(a4,x1861),x1861))),
% 1.16/1.26 inference(scs_inference,[],[80,79,98,96,97,93,78,101,83,184,2,121,113,112,111,136,124,164,68,53,52])).
% 1.16/1.26 cnf(187,plain,
% 1.16/1.26 (E(f21(f6(x1871,x1872),x1872),x1871)),
% 1.16/1.26 inference(rename_variables,[],[83])).
% 1.16/1.26 cnf(193,plain,
% 1.16/1.26 (E(f21(f6(x1931,x1932),x1932),x1931)),
% 1.16/1.26 inference(rename_variables,[],[83])).
% 1.16/1.26 cnf(194,plain,
% 1.16/1.26 (P8(f16(f29(a7,a12,a13)),f14(f29(a7,a12,a13)))),
% 1.16/1.26 inference(scs_inference,[],[80,81,79,98,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114])).
% 1.16/1.26 cnf(198,plain,
% 1.16/1.26 (P6(f23(x1981,f22(f5(a1,x1982),x1983)),a1)),
% 1.16/1.26 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139])).
% 1.16/1.26 cnf(202,plain,
% 1.16/1.26 (P9(f5(a1,x2021),f20(f5(a1,x2021),x2022))),
% 1.16/1.26 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132])).
% 1.16/1.26 cnf(204,plain,
% 1.16/1.26 (P4(f6(x2041,f5(a1,x2042)),a1)),
% 1.16/1.27 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120])).
% 1.16/1.27 cnf(210,plain,
% 1.16/1.27 (P13(f8(f15(f29(a7,a12,a13))))),
% 1.16/1.27 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103])).
% 1.16/1.27 cnf(212,plain,
% 1.16/1.27 (P3(f8(f15(f29(a7,a12,a13))))),
% 1.16/1.27 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102])).
% 1.16/1.27 cnf(214,plain,
% 1.16/1.27 (~E(f18(f16(f29(a7,a12,a13)),f14(f29(a7,a12,a13))),f14(f29(a7,a12,a13)))),
% 1.16/1.27 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165])).
% 1.16/1.27 cnf(227,plain,
% 1.16/1.27 (E(f20(f5(a1,x2271),x2272),f20(a1,x2272))),
% 1.16/1.27 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34])).
% 1.16/1.27 cnf(235,plain,
% 1.16/1.27 (E(f27(x2351,f5(a1,x2352)),f27(x2351,a1))),
% 1.16/1.27 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26])).
% 1.16/1.27 cnf(250,plain,
% 1.16/1.27 (E(f29(f5(a1,x2501),x2502,x2503),f29(a1,x2502,x2503))),
% 1.16/1.27 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11])).
% 1.16/1.27 cnf(251,plain,
% 1.16/1.27 (E(f21(x2511,f5(a1,x2512)),f21(x2511,a1))),
% 1.16/1.27 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 1.16/1.27 cnf(254,plain,
% 1.16/1.27 (E(f6(x2541,f5(a1,x2542)),f6(x2541,a1))),
% 1.16/1.27 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7])).
% 1.16/1.27 cnf(258,plain,
% 1.16/1.27 (P9(f5(a1,x2581),f26(f15(f5(a1,x2581)),f14(f5(a1,x2581))))),
% 1.16/1.27 inference(scs_inference,[],[80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138])).
% 1.16/1.27 cnf(260,plain,
% 1.16/1.27 (P14(f16(f29(a7,a12,a13)),f9(f29(a7,a12,a13)))),
% 1.16/1.27 inference(scs_inference,[],[88,80,81,79,98,99,96,97,93,78,101,83,184,187,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,106])).
% 1.16/1.27 cnf(266,plain,
% 1.16/1.27 (~P18(f21(f6(a4,x2661),x2661),f10(a4,x2662))),
% 1.16/1.27 inference(scs_inference,[],[88,80,81,79,98,99,96,97,93,78,101,83,184,187,193,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,106,151,148,74])).
% 1.16/1.27 cnf(267,plain,
% 1.16/1.27 (~P19(f21(f6(a4,x2671),x2671),f10(a4,x2672))),
% 1.16/1.27 inference(scs_inference,[],[88,80,81,79,98,99,96,97,93,78,101,83,184,187,193,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,106,151,148,74,71])).
% 1.16/1.27 cnf(270,plain,
% 1.16/1.27 (~P6(f5(a1,x2701),x2702)),
% 1.16/1.27 inference(scs_inference,[],[88,80,81,79,98,99,96,97,93,78,101,83,184,187,193,86,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,106,151,148,74,71,70,69,64])).
% 1.16/1.27 cnf(271,plain,
% 1.16/1.27 (~P4(f21(f6(a4,x2711),x2711),x2712)),
% 1.16/1.27 inference(scs_inference,[],[88,80,81,79,98,179,99,96,97,93,78,101,83,184,187,193,86,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,106,151,148,74,71,70,69,64,62])).
% 1.16/1.27 cnf(273,plain,
% 1.16/1.27 (~P5(f15(f29(x2731,a1,x2732)),x2733)),
% 1.16/1.27 inference(scs_inference,[],[88,80,81,100,79,98,179,99,96,97,93,78,101,83,184,187,193,92,86,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,106,151,148,74,71,70,69,64,62,59,57])).
% 1.16/1.27 cnf(275,plain,
% 1.16/1.27 (~P14(f21(f6(a4,x2751),x2751),f10(a4,x2752))),
% 1.16/1.27 inference(scs_inference,[],[88,80,81,100,79,98,179,99,96,97,93,78,101,83,184,187,193,92,86,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,106,151,148,74,71,70,69,64,62,59,57,56,48])).
% 1.16/1.27 cnf(276,plain,
% 1.16/1.27 (P12(f23(x2761,f22(f5(a1,x2762),f5(a1,x2762))),a1,a1)),
% 1.16/1.27 inference(scs_inference,[],[88,80,81,100,79,98,179,99,96,97,93,78,101,83,184,187,193,92,86,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,106,151,148,74,71,70,69,64,62,59,57,56,48,145])).
% 1.16/1.27 cnf(281,plain,
% 1.16/1.27 (~P4(f16(f29(a7,a12,a13)),f14(f29(a7,a12,a13)))),
% 1.16/1.27 inference(scs_inference,[],[88,80,81,100,79,98,179,99,96,97,93,78,101,83,184,187,193,92,86,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,106,151,148,74,71,70,69,64,62,59,57,56,48,145,137,130])).
% 1.16/1.27 cnf(285,plain,
% 1.16/1.27 (P15(f29(a7,a12,a13))),
% 1.16/1.27 inference(scs_inference,[],[88,80,81,100,79,98,179,99,96,97,93,78,91,101,83,184,187,193,92,86,2,121,113,112,111,136,124,164,68,53,52,51,50,47,46,3,114,152,139,133,132,120,118,104,103,102,165,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,106,151,148,74,71,70,69,64,62,59,57,56,48,145,137,130,162,109])).
% 1.16/1.27 cnf(315,plain,
% 1.16/1.27 (P4(f6(f6(x3151,f5(a1,x3152)),x3153),a1)),
% 1.16/1.27 inference(scs_inference,[],[198,204,276,116,153,146,142,134])).
% 1.16/1.27 cnf(317,plain,
% 1.16/1.27 (P14(f16(f29(a7,a12,a13)),f11(f29(a7,a12,a13)))),
% 1.16/1.27 inference(scs_inference,[],[285,198,204,276,116,153,146,142,134,107])).
% 1.16/1.27 cnf(319,plain,
% 1.16/1.27 (P11(f8(f15(f29(a7,a12,a13))))),
% 1.16/1.27 inference(scs_inference,[],[81,285,210,212,198,204,276,116,153,146,142,134,107,117])).
% 1.16/1.27 cnf(324,plain,
% 1.16/1.27 (P4(f16(f29(a7,a12,a13)),f9(f29(a7,a12,a13)))),
% 1.16/1.27 inference(scs_inference,[],[89,81,285,260,210,212,198,204,166,276,116,153,146,142,134,107,117,58,145,112])).
% 1.16/1.27 cnf(332,plain,
% 1.16/1.27 (~P17(x3321,x3321)),
% 1.16/1.27 inference(rename_variables,[],[167])).
% 1.16/1.27 cnf(335,plain,
% 1.16/1.27 (~E(f8(f15(f29(a7,a12,a13))),f29(x3351,x3352,a3))),
% 1.16/1.27 inference(scs_inference,[],[89,90,79,101,91,81,167,332,285,260,210,212,169,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68])).
% 1.16/1.27 cnf(336,plain,
% 1.16/1.27 (~E(f6(x3361,x3362),a4)),
% 1.16/1.27 inference(scs_inference,[],[82,89,90,79,96,101,91,81,167,332,285,260,210,212,169,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52])).
% 1.16/1.27 cnf(337,plain,
% 1.16/1.27 (~P14(f16(f29(x3371,a1,x3372)),x3373)),
% 1.16/1.27 inference(scs_inference,[],[82,89,90,79,96,101,91,81,167,332,285,260,210,212,169,171,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48])).
% 1.16/1.27 cnf(340,plain,
% 1.16/1.27 (~P4(f6(f16(f29(a7,a12,a13)),f18(f16(f29(a7,a12,a13)),f14(f29(a7,a12,a13)))),f14(f29(a7,a12,a13)))),
% 1.16/1.27 inference(scs_inference,[],[82,89,90,79,96,101,91,81,167,332,285,214,260,281,210,212,169,171,175,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48,128,137])).
% 1.16/1.27 cnf(342,plain,
% 1.16/1.27 (~P10(f29(x3421,a1,x3422))),
% 1.16/1.27 inference(scs_inference,[],[82,89,90,79,96,101,91,81,167,332,285,214,260,281,210,212,169,171,175,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48,128,137,106])).
% 1.16/1.27 cnf(345,plain,
% 1.16/1.27 (~P6(f25(f23(x3451,f22(x3452,a1)),x3452),x3453)),
% 1.16/1.27 inference(scs_inference,[],[82,89,90,87,79,96,101,91,99,81,167,332,285,214,260,281,210,212,169,171,175,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48,128,137,106,65,64])).
% 1.16/1.27 cnf(346,plain,
% 1.16/1.27 (E(f25(f23(x3461,f22(x3462,x3463)),x3462),x3463)),
% 1.16/1.27 inference(rename_variables,[],[87])).
% 1.16/1.27 cnf(347,plain,
% 1.16/1.27 (P4(f6(x3471,f5(a1,x3472)),f5(a1,x3473))),
% 1.16/1.27 inference(scs_inference,[],[82,89,90,87,79,96,101,91,99,81,167,332,285,214,260,281,210,212,169,171,175,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48,128,137,106,65,64,63])).
% 1.16/1.27 cnf(349,plain,
% 1.16/1.27 (E(f25(f23(x3491,f22(x3492,x3493)),x3492),x3493)),
% 1.16/1.27 inference(rename_variables,[],[87])).
% 1.16/1.27 cnf(350,plain,
% 1.16/1.27 (~P4(f16(f29(x3501,a1,x3502)),x3503)),
% 1.16/1.27 inference(scs_inference,[],[82,89,90,87,346,79,96,101,91,99,98,81,167,332,285,214,260,281,210,212,169,171,175,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48,128,137,106,65,64,63,3,62])).
% 1.16/1.27 cnf(352,plain,
% 1.16/1.27 (E(f25(f23(x3521,f22(x3522,x3523)),x3522),x3523)),
% 1.16/1.27 inference(rename_variables,[],[87])).
% 1.16/1.27 cnf(354,plain,
% 1.16/1.27 (P18(f6(x3541,f5(a1,x3542)),f5(a1,x3543))),
% 1.16/1.27 inference(scs_inference,[],[82,85,89,90,87,346,349,79,96,97,101,91,99,98,81,167,332,285,214,260,281,210,212,273,169,171,175,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48,128,137,106,65,64,63,3,62,57,53,75])).
% 1.16/1.27 cnf(356,plain,
% 1.16/1.27 (P12(f23(x3561,f22(f5(a1,x3562),f5(a1,x3562))),a1,f5(a1,x3563))),
% 1.16/1.27 inference(scs_inference,[],[82,85,89,90,87,346,349,79,96,97,101,91,99,98,81,167,332,285,214,260,281,210,212,273,169,171,173,175,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48,128,137,106,65,64,63,3,62,57,53,75,74,61])).
% 1.16/1.27 cnf(359,plain,
% 1.16/1.27 (E(f25(f23(x3591,f22(x3592,x3593)),x3592),x3593)),
% 1.16/1.27 inference(rename_variables,[],[87])).
% 1.16/1.27 cnf(360,plain,
% 1.16/1.27 (~E(f14(f29(a7,a12,a13)),f18(f16(f29(a7,a12,a13)),f14(f29(a7,a12,a13))))),
% 1.16/1.27 inference(scs_inference,[],[82,85,89,90,87,346,349,352,79,96,97,101,91,100,99,98,81,167,332,285,214,260,281,210,212,273,169,171,173,175,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48,128,137,106,65,64,63,3,62,57,53,75,74,61,60,59,2])).
% 1.16/1.27 cnf(365,plain,
% 1.16/1.27 (~E(f29(a7,a12,a13),x3651)+P15(x3651)),
% 1.16/1.27 inference(scs_inference,[],[82,85,89,90,87,346,349,352,79,96,97,101,91,100,99,98,81,167,332,285,214,260,281,210,212,273,169,171,173,175,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48,128,137,106,65,64,63,3,62,57,53,75,74,61,60,59,2,119,161,73])).
% 1.16/1.27 cnf(368,plain,
% 1.16/1.27 (P1(f14(f29(a7,a12,a13)),f9(f29(a7,a12,a13)))),
% 1.16/1.27 inference(scs_inference,[],[88,82,85,89,90,87,346,349,352,94,79,96,97,101,91,100,99,98,81,167,332,285,214,260,194,281,210,212,273,169,171,173,175,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48,128,137,106,65,64,63,3,62,57,53,75,74,61,60,59,2,119,161,73,55,54,125])).
% 1.16/1.27 cnf(371,plain,
% 1.16/1.27 (~P12(a1,x3711,x3712)),
% 1.16/1.27 inference(rename_variables,[],[100])).
% 1.16/1.27 cnf(387,plain,
% 1.16/1.27 (P1(x3871,x3871)),
% 1.16/1.27 inference(rename_variables,[],[80])).
% 1.16/1.27 cnf(394,plain,
% 1.16/1.27 (~P18(f16(f21(f6(f29(a7,a1,a13),x3941),x3941)),x3942)),
% 1.16/1.27 inference(scs_inference,[],[88,82,85,89,90,87,346,349,352,359,94,79,96,97,101,83,91,100,371,99,98,80,387,81,78,167,332,285,214,260,194,281,210,212,273,258,202,227,267,275,169,171,173,175,198,204,166,276,116,153,146,142,134,107,117,58,145,112,152,162,71,70,69,68,52,48,128,137,106,65,64,63,3,62,57,53,75,74,61,60,59,2,119,161,73,55,54,125,156,155,147,51,50,49,72,47,46,76,12,143,122])).
% 1.16/1.27 cnf(411,plain,
% 1.16/1.27 (~P15(f29(x4111,a1,x4112))),
% 1.16/1.27 inference(scs_inference,[],[337,107])).
% 1.16/1.27 cnf(412,plain,
% 1.16/1.27 (~P14(f16(f29(x4121,a1,x4122)),x4123)),
% 1.16/1.27 inference(rename_variables,[],[337])).
% 1.16/1.27 cnf(418,plain,
% 1.16/1.27 (~P10(f25(f23(x4181,f22(x4182,f29(x4183,a1,x4184))),x4182))),
% 1.16/1.27 inference(scs_inference,[],[87,100,337,342,356,107,155,54])).
% 1.16/1.27 cnf(419,plain,
% 1.16/1.27 (~P11(f15(f29(x4191,a1,x4192)))),
% 1.16/1.27 inference(scs_inference,[],[87,100,337,412,342,356,107,155,54,164])).
% 1.16/1.27 cnf(420,plain,
% 1.16/1.27 (~P14(f16(f29(x4201,a1,x4202)),x4203)),
% 1.16/1.27 inference(rename_variables,[],[337])).
% 1.16/1.27 cnf(422,plain,
% 1.16/1.27 (~P4(f16(f21(f6(f29(a7,a1,a13),x4221),x4221)),x4222)),
% 1.16/1.27 inference(scs_inference,[],[87,100,394,337,412,342,356,107,155,54,164,116])).
% 1.16/1.27 cnf(426,plain,
% 1.16/1.27 (P8(f21(f6(a4,x4261),x4261),x4262)),
% 1.16/1.27 inference(scs_inference,[],[87,100,394,345,271,337,412,342,356,107,155,54,164,116,152,124])).
% 1.16/1.27 cnf(430,plain,
% 1.16/1.27 (~P11(f21(f6(f15(f29(x4301,a1,x4302)),x4303),x4303))),
% 1.16/1.27 inference(scs_inference,[],[87,83,100,394,345,271,337,412,342,356,107,155,54,164,116,152,124,73,56])).
% 1.16/1.27 cnf(431,plain,
% 1.16/1.27 (E(f21(f6(x4311,x4312),x4312),x4311)),
% 1.16/1.27 inference(rename_variables,[],[83])).
% 1.16/1.27 cnf(438,plain,
% 1.16/1.27 (E(f21(f6(x4381,x4382),x4382),x4381)),
% 1.16/1.27 inference(rename_variables,[],[83])).
% 1.16/1.27 cnf(440,plain,
% 1.16/1.27 (E(f25(f23(x4401,f22(x4402,x4403)),x4402),x4403)),
% 1.16/1.27 inference(rename_variables,[],[87])).
% 1.16/1.27 cnf(446,plain,
% 1.16/1.27 (~P18(f21(f6(a4,x4461),x4461),f27(f23(f10(a4,x4462),f22(x4463,x4464)),x4463))),
% 1.16/1.27 inference(scs_inference,[],[84,87,440,97,101,83,431,438,86,100,394,340,181,345,271,337,412,420,186,266,354,342,356,250,281,107,155,54,164,116,152,124,73,56,112,68,48,63,3,53,52,74,12,75])).
% 1.16/1.27 cnf(450,plain,
% 1.16/1.27 (~E(f29(a7,a12,a13),f25(f23(x4501,f22(x4502,f29(f5(a1,x4503),a1,a3))),x4502))),
% 1.16/1.27 inference(scs_inference,[],[95,84,87,440,97,101,83,431,438,86,100,98,394,340,181,345,324,271,337,412,420,186,266,354,342,356,250,281,107,155,54,164,116,152,124,73,56,112,68,48,63,3,53,52,74,12,75,62,2,365])).
% 1.16/1.27 cnf(465,plain,
% 1.16/1.27 (P6(f23(x4651,f22(f6(f6(x4652,x4653),x4654),x4655)),f6(f6(x4652,x4654),x4653))),
% 1.16/1.27 inference(scs_inference,[],[84,418,108,139])).
% 1.16/1.27 cnf(469,plain,
% 1.16/1.27 (P4(f6(x4691,f6(f6(x4692,x4693),x4694)),f6(f6(x4692,x4694),x4693))),
% 1.16/1.27 inference(scs_inference,[],[84,418,347,108,139,134,120])).
% 1.16/1.27 cnf(471,plain,
% 1.16/1.27 (P18(f6(f6(x4711,f5(a1,x4712)),x4713),a1)),
% 1.16/1.27 inference(scs_inference,[],[84,418,347,315,108,139,134,120,116])).
% 1.16/1.27 cnf(473,plain,
% 1.16/1.27 (~P15(f15(f29(x4731,a1,x4732)))),
% 1.16/1.27 inference(scs_inference,[],[84,92,418,411,347,315,108,139,134,120,116,73])).
% 1.16/1.27 cnf(474,plain,
% 1.16/1.27 (E(f15(f29(x4741,a1,x4742)),f29(x4741,a1,a3))),
% 1.16/1.27 inference(rename_variables,[],[92])).
% 1.16/1.27 cnf(477,plain,
% 1.16/1.27 (E(f15(f29(x4771,a1,x4772)),f29(x4771,a1,a3))),
% 1.16/1.27 inference(rename_variables,[],[92])).
% 1.16/1.27 cnf(482,plain,
% 1.16/1.27 (E(f15(f29(x4821,a1,x4822)),f29(x4821,a1,a3))),
% 1.16/1.27 inference(rename_variables,[],[92])).
% 1.16/1.27 cnf(491,plain,
% 1.16/1.27 (E(f21(f6(x4911,x4912),x4912),x4911)),
% 1.16/1.27 inference(rename_variables,[],[83])).
% 1.16/1.27 cnf(492,plain,
% 1.16/1.27 (~P18(f21(f6(f21(f6(a4,x4921),x4921),x4922),x4922),f27(f23(f10(a4,x4923),f22(x4924,x4925)),x4924))),
% 1.16/1.27 inference(scs_inference,[],[93,84,92,474,477,482,97,101,83,491,418,430,446,335,411,317,254,347,315,342,108,139,134,120,116,73,54,112,68,56,3,63,53,74])).
% 1.16/1.27 cnf(494,plain,
% 1.16/1.27 (E(f27(f23(x4941,f22(x4942,x4943)),x4942),x4941)),
% 1.16/1.27 inference(rename_variables,[],[86])).
% 1.16/1.27 cnf(495,plain,
% 1.16/1.27 (~P14(f27(f23(f16(f29(x4951,a1,x4952)),f22(x4953,x4954)),x4953),x4955)),
% 1.16/1.27 inference(scs_inference,[],[93,84,96,92,474,477,482,97,101,83,491,86,494,418,430,446,335,411,317,254,347,315,337,342,108,139,134,120,116,73,54,112,68,56,3,63,53,74,52,48])).
% 1.16/1.27 cnf(496,plain,
% 1.16/1.27 (~E(f25(f23(x4961,f22(x4962,f29(f5(a1,x4963),a1,a3))),x4962),f29(a7,a12,a13))),
% 1.16/1.27 inference(scs_inference,[],[93,84,96,92,474,477,482,97,101,83,491,86,494,418,450,430,446,335,411,317,254,347,315,337,342,108,139,134,120,116,73,54,112,68,56,3,63,53,74,52,48,2])).
% 1.16/1.27 cnf(500,plain,
% 1.16/1.27 (~P4(f27(f23(f16(f29(x5001,a1,x5002)),f22(x5003,x5004)),x5003),x5005)),
% 1.16/1.27 inference(scs_inference,[],[93,84,96,92,474,477,482,97,101,83,491,86,494,418,450,430,446,350,335,411,317,235,254,347,315,337,342,108,139,134,120,116,73,54,112,68,56,3,63,53,74,52,48,2,75,62])).
% 1.16/1.27 cnf(510,plain,
% 1.16/1.27 (E(f6(f6(x5101,f5(a1,x5102)),x5103),f6(f6(x5101,x5103),a1))),
% 1.16/1.27 inference(scs_inference,[],[93,84,96,92,474,477,482,97,101,83,491,86,494,98,418,450,430,426,446,350,335,411,336,317,235,251,254,347,315,337,342,175,108,139,134,120,116,73,54,112,68,56,3,63,53,74,52,48,2,75,62,127,150,109,66,137])).
% 1.16/1.27 cnf(531,plain,
% 1.16/1.27 (~P4(f6(a4,f14(f29(a7,a12,a13))),f18(f16(f29(a7,a12,a13)),f14(f29(a7,a12,a13))))),
% 1.16/1.27 inference(scs_inference,[],[98,465,360,142,137])).
% 1.16/1.27 cnf(540,plain,
% 1.16/1.27 (E(f6(f6(x5401,x5402),x5403),f6(f6(x5401,x5403),x5402))),
% 1.16/1.27 inference(rename_variables,[],[84])).
% 1.16/1.27 cnf(544,plain,
% 1.16/1.27 (P18(f6(f6(x5441,x5442),a1),a1)),
% 1.16/1.27 inference(scs_inference,[],[84,87,98,465,422,360,496,492,473,510,471,285,142,137,112,116,73,65,3,74])).
% 1.16/1.27 cnf(549,plain,
% 1.16/1.27 (P4(f6(x5491,f6(f6(x5492,x5493),x5494)),f6(f6(x5492,x5493),x5494))),
% 1.16/1.27 inference(scs_inference,[],[84,540,87,98,469,465,422,360,495,496,492,473,510,471,235,285,142,137,112,116,73,65,3,74,48,63])).
% 1.16/1.27 cnf(550,plain,
% 1.16/1.27 (P4(f6(x5501,f6(f6(x5502,x5503),x5504)),f6(f6(x5502,x5504),x5503))),
% 1.16/1.27 inference(rename_variables,[],[469])).
% 1.16/1.27 cnf(556,plain,
% 1.16/1.27 (~P19(f16(f21(f6(f29(a7,a1,a13),x5561),x5561)),x5562)),
% 1.16/1.27 inference(scs_inference,[],[94,84,540,87,166,98,469,550,465,422,360,495,496,492,473,510,471,235,285,142,137,112,116,73,65,3,74,48,63,2,75,62,113])).
% 1.16/1.27 cnf(562,plain,
% 1.16/1.27 (P9(x5621,f15(x5621))),
% 1.16/1.27 inference(scs_inference,[],[94,84,540,87,166,98,81,469,550,465,422,360,495,496,492,473,510,471,235,285,142,137,112,116,73,65,3,74,48,63,2,75,62,113,133,132,118])).
% 1.16/1.27 cnf(566,plain,
% 1.16/1.27 (P13(f8(f8(f15(f29(a7,a12,a13)))))),
% 1.16/1.27 inference(scs_inference,[],[94,84,540,87,166,98,81,469,550,465,422,360,495,496,492,319,473,510,471,235,285,142,137,112,116,73,65,3,74,48,63,2,75,62,113,133,132,118,104,103])).
% 1.16/1.27 cnf(578,plain,
% 1.16/1.27 (P8(f16(f29(a7,a12,a13)),f9(f29(a7,a12,a13)))),
% 1.16/1.27 inference(scs_inference,[],[94,79,84,540,87,166,98,81,469,550,465,422,368,360,495,500,496,492,319,473,510,471,260,235,285,142,137,112,116,73,65,3,74,48,63,2,75,62,113,133,132,118,104,103,165,138,121,148,111,114])).
% 1.16/1.27 cnf(580,plain,
% 1.16/1.27 (P3(f8(f8(f15(f29(a7,a12,a13)))))),
% 1.16/1.27 inference(scs_inference,[],[94,79,84,540,87,166,98,81,469,550,465,422,368,360,495,500,496,492,319,473,510,471,260,235,285,142,137,112,116,73,65,3,74,48,63,2,75,62,113,133,132,118,104,103,165,138,121,148,111,114,102])).
% 1.16/1.27 cnf(629,plain,
% 1.16/1.27 (P19(f16(f29(a7,a12,a13)),f9(f29(a7,a12,a13)))),
% 1.16/1.27 inference(scs_inference,[],[94,79,84,540,87,166,98,81,469,550,465,422,368,360,495,500,496,492,319,473,510,471,270,260,324,235,285,142,137,112,116,73,65,3,74,48,63,2,75,62,113,133,132,118,104,103,165,138,121,148,111,114,102,15,123,45,44,43,40,38,37,35,34,33,31,30,28,27,22,19,18,13,11,6,151,41,36,29,14,16,8,42,39,32,26,25,24,23,21,20,17,10,9,7,5,4,106,128])).
% 1.16/1.27 cnf(664,plain,
% 1.16/1.27 ($false),
% 1.16/1.27 inference(scs_inference,[],[78,92,562,549,556,578,629,566,580,419,531,544,360,181,281,324,130,111,71,50,117,16,120,137,116,112]),
% 1.16/1.27 ['proof']).
% 1.16/1.27 % SZS output end Proof
% 1.16/1.27 % Total time :0.560000s
%------------------------------------------------------------------------------