%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWV367+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 16:47:00 EDT 2024
% Result : Theorem 0.52s 0.64s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV367+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu Jun 20 17:34:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.48/0.57 start to proof:theBenchmark
% 0.52/0.63 %-------------------------------------------
% 0.52/0.63 % File :CSE---1.7
% 0.52/0.63 % Problem :theBenchmark
% 0.52/0.63 % Transform :cnf
% 0.52/0.63 % Format :tptp:raw
% 0.52/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.63
% 0.52/0.63 % Result :Theorem 0.000000s
% 0.52/0.63 % Output :CNFRefutation 0.000000s
% 0.52/0.63 %-------------------------------------------
% 0.52/0.64 %------------------------------------------------------------------------------
% 0.52/0.64 % File : SWV367+1 : TPTP v8.2.0. Released v3.3.0.
% 0.52/0.64 % Domain : Software Verification
% 0.52/0.64 % Problem : Priority queue checker: lemma_contains_s_I_remove base
% 0.52/0.64 % Version : [dNP05] axioms.
% 0.52/0.64 % English :
% 0.52/0.64
% 0.52/0.64 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.52/0.64 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.52/0.64 % Source : [Pis06]
% 0.52/0.64 % Names : cpq_l003 [Pis06]
% 0.52/0.64
% 0.52/0.64 % Status : Theorem
% 0.52/0.64 % Rating : 0.08 v8.1.0, 0.11 v7.5.0, 0.12 v7.4.0, 0.10 v7.3.0, 0.14 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.21 v6.2.0, 0.28 v6.1.0, 0.23 v6.0.0, 0.13 v5.5.0, 0.15 v5.4.0, 0.18 v5.3.0, 0.26 v5.2.0, 0.15 v5.1.0, 0.10 v5.0.0, 0.12 v4.1.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.3.0
% 0.52/0.64 % Syntax : Number of formulae : 63 ( 23 unt; 0 def)
% 0.52/0.64 % Number of atoms : 130 ( 41 equ)
% 0.52/0.64 % Maximal formula atoms : 4 ( 2 avg)
% 0.52/0.64 % Number of connectives : 83 ( 16 ~; 4 |; 21 &)
% 0.52/0.64 % ( 16 <=>; 26 =>; 0 <=; 0 <~>)
% 0.52/0.64 % Maximal formula depth : 9 ( 5 avg)
% 0.52/0.64 % Maximal term depth : 5 ( 1 avg)
% 0.52/0.64 % Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% 0.52/0.64 % Number of functors : 26 ( 26 usr; 4 con; 0-3 aty)
% 0.52/0.64 % Number of variables : 166 ( 163 !; 3 ?)
% 0.52/0.64 % SPC : FOF_THM_RFO_SEQ
% 0.52/0.64
% 0.52/0.64 % Comments :
% 0.52/0.64 %------------------------------------------------------------------------------
% 0.52/0.64 %----Include the axioms about priority queues and checked priority queues
% 0.52/0.64 include('Axioms/SWV007+0.ax').
% 0.52/0.64 include('Axioms/SWV007+1.ax').
% 0.52/0.64 include('Axioms/SWV007+2.ax').
% 0.52/0.64 include('Axioms/SWV007+3.ax').
% 0.52/0.64 include('Axioms/SWV007+4.ax').
% 0.52/0.64 %------------------------------------------------------------------------------
% 0.52/0.64 %----goal: fof(lemma_contains_s_I_remove,lemma,
% 0.52/0.64 %---- (! [U,V,W,X] : (contains_pq(i(triple(U,V,W)),X) =>
% 0.52/0.64 %---- (i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X))))).
% 0.52/0.64
% 0.52/0.64 %----base:
% 0.52/0.64 fof(l3_co,conjecture,
% 0.52/0.64 ! [U,V,W] :
% 0.52/0.64 ( contains_pq(i(triple(U,create_slb,V)),W)
% 0.52/0.64 => i(remove_cpq(triple(U,create_slb,V),W)) = remove_pq(i(triple(U,create_slb,V)),W) ) ).
% 0.52/0.64
% 0.52/0.64 %------------------------------------------------------------------------------
% 0.52/0.64 %-------------------------------------------
% 0.52/0.64 % Proof found
% 0.52/0.64 % SZS status Theorem for theBenchmark
% 0.52/0.64 % SZS output start Proof
% 0.52/0.64 %ClaNum:163(EqnAxiom:77)
% 0.52/0.64 %VarNum:463(SingletonVarNum:220)
% 0.52/0.64 %MaxLitNum:4
% 0.52/0.64 %MaxfuncDepth:4
% 0.52/0.64 %SharedTerms:16
% 0.52/0.64 %goalClause: 92 101
% 0.52/0.64 %singleGoalClaCount:2
% 0.52/0.64 [95]~P2(a4)
% 0.52/0.64 [96]~P7(a1)
% 0.52/0.64 [92]P4(f16(f29(a9,a1,a14)),a15)
% 0.52/0.64 [101]~E(f16(f26(f29(a9,a1,a14),a15)),f21(f16(f29(a9,a1,a14)),a15))
% 0.52/0.64 [79]P1(a2,x791)
% 0.52/0.64 [80]P1(x801,x801)
% 0.52/0.64 [81]P9(x811,x811)
% 0.52/0.64 [97]~P4(a4,x971)
% 0.52/0.64 [98]~P6(a1,x981)
% 0.52/0.64 [78]E(f5(a1,x781),a1)
% 0.52/0.64 [99]~P10(a1,x991,x992)
% 0.52/0.64 [82]P2(f6(x821,x822))
% 0.52/0.64 [90]P3(f29(x901,a1,x902))
% 0.52/0.64 [100]~P11(f29(x1001,x1002,a3))
% 0.52/0.64 [83]E(f21(f6(x831,x832),x832),x831)
% 0.52/0.64 [88]E(f7(f29(x881,a1,x882)),a2)
% 0.52/0.64 [89]E(f16(f29(x891,a1,x892)),a4)
% 0.52/0.64 [91]E(f8(f29(x911,a1,x912)),f29(x911,a1,a3))
% 0.52/0.64 [84]E(f6(f6(x841,x842),x843),f6(f6(x841,x843),x842))
% 0.52/0.64 [85]P7(f23(x851,f22(x852,x853)))
% 0.52/0.64 [86]E(f27(f23(x861,f22(x862,x863)),x862),x861)
% 0.52/0.65 [87]E(f25(f23(x871,f22(x872,x873)),x872),x873)
% 0.52/0.65 [93]E(f29(f24(x931,x932),f23(x933,f22(x932,a2)),x934),f20(f29(x931,x933,x934),x932))
% 0.52/0.65 [94]E(f16(f29(x941,f23(x942,f22(x943,x944)),x945)),f6(f16(f29(x941,x942,x945)),x943))
% 0.52/0.65 [102]~P12(x1021)+P3(f10(x1021))
% 0.52/0.65 [103]~P12(x1031)+P11(f10(x1031))
% 0.52/0.65 [104]~P12(x1041)+P9(x1041,f10(x1041))
% 0.52/0.65 [106]~P14(x1061)+P13(f16(x1061),f11(x1061))
% 0.52/0.65 [107]~P15(x1071)+P13(f16(x1071),f13(x1071))
% 0.52/0.65 [105]P1(x1052,x1051)+P1(x1051,x1052)
% 0.52/0.65 [110]~P17(x1101,x1102)+P1(x1101,x1102)
% 0.52/0.65 [111]~P18(x1111,x1112)+P4(x1111,x1112)
% 0.52/0.65 [112]~P13(x1121,x1122)+P4(x1121,x1122)
% 0.52/0.65 [113]~P19(x1131,x1132)+P4(x1131,x1132)
% 0.52/0.65 [114]~P13(x1141,x1142)+P8(x1141,x1142)
% 0.52/0.65 [115]~P19(x1151,x1152)+P8(x1151,x1152)
% 0.52/0.65 [116]~P4(x1161,x1162)+P18(x1161,x1162)
% 0.52/0.65 [121]~P17(x1212,x1211)+~P1(x1211,x1212)
% 0.52/0.65 [108]P14(x1081)+~P13(f16(x1081),x1082)
% 0.52/0.65 [109]P15(x1091)+~P13(f16(x1091),x1092)
% 0.52/0.65 [118]~P9(x1181,x1182)+P9(x1181,f8(x1182))
% 0.52/0.65 [119]~P16(x1191,x1192)+P18(f16(x1191),x1192)
% 0.52/0.65 [122]P16(x1221,x1222)+~P18(f16(x1221),x1222)
% 0.52/0.65 [124]P8(x1241,x1242)+P4(x1241,f12(x1241,x1242))
% 0.52/0.65 [136]P8(x1361,x1362)+~P1(x1362,f12(x1361,x1362))
% 0.52/0.65 [138]~P9(x1381,x1382)+P9(x1381,f26(f8(x1382),f7(x1382)))
% 0.52/0.65 [120]~E(x1202,x1203)+P4(f6(x1201,x1202),x1203)
% 0.52/0.65 [132]~P9(x1321,x1322)+P9(x1321,f20(x1322,x1323))
% 0.52/0.65 [133]~P9(x1331,x1332)+P9(x1331,f26(x1332,x1333))
% 0.52/0.65 [134]~P4(x1341,x1343)+P4(f6(x1341,x1342),x1343)
% 0.52/0.65 [141]E(x1411,a3)+P11(f29(x1412,x1413,x1411))
% 0.52/0.65 [143]E(x1431,a1)+E(f7(f29(x1432,x1431,x1433)),f19(x1432))
% 0.52/0.65 [146]~P6(x1462,x1464)+P5(f29(x1461,x1462,x1463),x1464)
% 0.52/0.65 [152]P6(x1521,x1522)+~P5(f29(x1523,x1521,x1524),x1522)
% 0.52/0.65 [139]~E(x1392,x1394)+P6(f23(x1391,f22(x1392,x1393)),x1394)
% 0.52/0.65 [142]~P6(x1421,x1424)+P6(f23(x1421,f22(x1422,x1423)),x1424)
% 0.52/0.65 [151]P6(x1512,x1514)+E(f26(f29(x1511,x1512,x1513),x1514),f29(x1511,x1512,a3))
% 0.52/0.65 [148]~P1(x1482,x1484)+E(f23(f5(x1481,x1482),f22(x1483,x1484)),f5(f23(x1481,f22(x1483,x1484)),x1482))
% 0.52/0.65 [149]~P17(x1493,x1494)+E(f5(f23(x1491,f22(x1492,x1493)),x1494),f23(f5(x1491,x1494),f22(x1492,x1494)))
% 0.52/0.65 [153]~P10(x1531,x1534,x1535)+P10(f23(x1531,f22(x1532,x1533)),x1534,x1535)
% 0.52/0.65 [161]~P17(x1611,x1612)+~P3(f29(x1613,f23(x1614,f22(x1611,x1612)),x1615))
% 0.52/0.65 [123]P17(x1232,x1231)+~P1(x1232,x1231)+P1(x1231,x1232)
% 0.52/0.65 [127]~P4(x1271,x1272)+~P8(x1271,x1272)+P13(x1271,x1272)
% 0.52/0.65 [128]~P4(x1281,x1282)+~P8(x1281,x1282)+P19(x1281,x1282)
% 0.52/0.65 [129]~P4(x1291,x1292)+~P8(x1291,x1292)+E(f17(x1291,x1292),x1291)
% 0.52/0.65 [130]~P4(x1301,x1302)+~P8(x1301,x1302)+E(f18(x1301,x1302),x1302)
% 0.52/0.65 [131]~P4(x1311,x1312)+~P8(x1311,x1312)+E(f30(x1311,x1312),x1312)
% 0.52/0.65 [135]~P4(x1351,x1352)+~P8(x1351,x1352)+E(f31(x1351,x1352),f21(x1351,x1352))
% 0.52/0.65 [125]~P8(x1253,x1251)+P1(x1251,x1252)+~P4(x1253,x1252)
% 0.52/0.65 [126]~P1(x1261,x1263)+P1(x1261,x1262)+~P1(x1263,x1262)
% 0.52/0.65 [137]E(x1371,x1372)+P4(x1373,x1372)+~P4(f6(x1373,x1371),x1372)
% 0.52/0.65 [140]~P4(x1403,x1401)+E(x1401,x1402)+E(f21(f6(x1403,x1402),x1401),f6(f21(x1403,x1401),x1402))
% 0.52/0.65 [154]P6(x1541,f19(x1542))+E(x1541,a1)+E(f8(f29(x1542,x1541,x1543)),f29(x1542,f5(x1541,f19(x1542)),a3))
% 0.52/0.65 [147]E(x1471,x1472)+P6(x1473,x1472)+~P6(f23(x1473,f22(x1471,x1474)),x1472)
% 0.52/0.65 [157]~P6(x1572,x1574)+~P17(x1574,f25(x1572,x1574))+E(f26(f29(x1571,x1572,x1573),x1574),f29(f28(x1571,x1574),f27(x1572,x1574),a3))
% 0.52/0.65 [158]~P6(x1583,x1582)+~P1(f25(x1583,x1582),x1582)+E(f29(f28(x1581,x1582),f27(x1583,x1582),x1584),f26(f29(x1581,x1583,x1584),x1582))
% 0.52/0.65 [144]~P6(x1443,x1442)+E(x1441,x1442)+E(f25(f23(x1443,f22(x1441,x1444)),x1442),f25(x1443,x1442))
% 0.52/0.65 [150]~P6(x1503,x1502)+E(x1501,x1502)+E(f27(f23(x1503,f22(x1501,x1504)),x1502),f23(f27(x1503,x1502),f22(x1501,x1504)))
% 0.52/0.65 [145]~E(x1453,x1455)+~E(x1452,x1454)+P10(f23(x1451,f22(x1452,x1453)),x1454,x1455)
% 0.52/0.65 [155]E(x1551,x1552)+P10(x1553,x1554,x1552)+~P10(f23(x1553,f22(x1555,x1551)),x1554,x1552)
% 0.52/0.65 [156]E(x1561,x1562)+P10(x1563,x1562,x1564)+~P10(f23(x1563,f22(x1561,x1565)),x1562,x1564)
% 0.52/0.65 [162]~P1(x1624,x1623)+~P3(f29(x1621,x1622,x1625))+P3(f29(x1621,f23(x1622,f22(x1623,x1624)),x1625))
% 0.52/0.65 [163]~P1(x1634,x1635)+P3(f29(x1631,x1632,x1633))+~P3(f29(x1631,f23(x1632,f22(x1635,x1634)),x1633))
% 0.52/0.65 [117]~P11(x1172)+~P9(x1171,x1172)+P12(x1171)+~P3(x1172)
% 0.52/0.65 [159]~P6(x1591,f19(x1592))+E(x1591,a1)+~P17(f19(x1592),f25(x1591,f19(x1592)))+E(f8(f29(x1592,x1591,x1593)),f29(x1592,f5(x1591,f19(x1592)),a3))
% 0.52/0.65 [160]~P6(x1601,f19(x1602))+E(x1601,a1)+~P1(f25(x1601,f19(x1602)),f19(x1602))+E(f29(x1602,f5(x1601,f19(x1602)),x1603),f8(f29(x1602,x1601,x1603)))
% 0.52/0.65 %EqnAxiom
% 0.52/0.65 [1]E(x11,x11)
% 0.52/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.52/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.52/0.65 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.52/0.65 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.52/0.65 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.52/0.65 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.52/0.65 [8]~E(x81,x82)+E(f22(x81,x83),f22(x82,x83))
% 0.52/0.65 [9]~E(x91,x92)+E(f22(x93,x91),f22(x93,x92))
% 0.52/0.65 [10]~E(x101,x102)+E(f21(x101,x103),f21(x102,x103))
% 0.52/0.65 [11]~E(x111,x112)+E(f21(x113,x111),f21(x113,x112))
% 0.52/0.65 [12]~E(x121,x122)+E(f29(x121,x123,x124),f29(x122,x123,x124))
% 0.52/0.65 [13]~E(x131,x132)+E(f29(x133,x131,x134),f29(x133,x132,x134))
% 0.52/0.65 [14]~E(x141,x142)+E(f29(x143,x144,x141),f29(x143,x144,x142))
% 0.52/0.65 [15]~E(x151,x152)+E(f23(x151,x153),f23(x152,x153))
% 0.52/0.65 [16]~E(x161,x162)+E(f23(x163,x161),f23(x163,x162))
% 0.52/0.65 [17]~E(x171,x172)+E(f25(x171,x173),f25(x172,x173))
% 0.52/0.65 [18]~E(x181,x182)+E(f25(x183,x181),f25(x183,x182))
% 0.52/0.65 [19]~E(x191,x192)+E(f19(x191),f19(x192))
% 0.52/0.65 [20]~E(x201,x202)+E(f26(x201,x203),f26(x202,x203))
% 0.52/0.65 [21]~E(x211,x212)+E(f26(x213,x211),f26(x213,x212))
% 0.52/0.65 [22]~E(x221,x222)+E(f8(x221),f8(x222))
% 0.52/0.65 [23]~E(x231,x232)+E(f7(x231),f7(x232))
% 0.52/0.65 [24]~E(x241,x242)+E(f11(x241),f11(x242))
% 0.52/0.65 [25]~E(x251,x252)+E(f27(x251,x253),f27(x252,x253))
% 0.52/0.65 [26]~E(x261,x262)+E(f27(x263,x261),f27(x263,x262))
% 0.52/0.65 [27]~E(x271,x272)+E(f20(x271,x273),f20(x272,x273))
% 0.52/0.65 [28]~E(x281,x282)+E(f20(x283,x281),f20(x283,x282))
% 0.52/0.65 [29]~E(x291,x292)+E(f16(x291),f16(x292))
% 0.52/0.65 [30]~E(x301,x302)+E(f12(x301,x303),f12(x302,x303))
% 0.52/0.65 [31]~E(x311,x312)+E(f12(x313,x311),f12(x313,x312))
% 0.52/0.65 [32]~E(x321,x322)+E(f30(x321,x323),f30(x322,x323))
% 0.52/0.65 [33]~E(x331,x332)+E(f30(x333,x331),f30(x333,x332))
% 0.52/0.65 [34]~E(x341,x342)+E(f31(x341,x343),f31(x342,x343))
% 0.52/0.65 [35]~E(x351,x352)+E(f31(x353,x351),f31(x353,x352))
% 0.52/0.65 [36]~E(x361,x362)+E(f28(x361,x363),f28(x362,x363))
% 0.52/0.65 [37]~E(x371,x372)+E(f28(x373,x371),f28(x373,x372))
% 0.52/0.65 [38]~E(x381,x382)+E(f24(x381,x383),f24(x382,x383))
% 0.52/0.65 [39]~E(x391,x392)+E(f24(x393,x391),f24(x393,x392))
% 0.52/0.65 [40]~E(x401,x402)+E(f18(x401,x403),f18(x402,x403))
% 0.52/0.65 [41]~E(x411,x412)+E(f18(x413,x411),f18(x413,x412))
% 0.52/0.65 [42]~E(x421,x422)+E(f17(x421,x423),f17(x422,x423))
% 0.52/0.65 [43]~E(x431,x432)+E(f17(x433,x431),f17(x433,x432))
% 0.52/0.65 [44]~E(x441,x442)+E(f10(x441),f10(x442))
% 0.52/0.65 [45]~E(x451,x452)+E(f13(x451),f13(x452))
% 0.52/0.65 [46]P1(x462,x463)+~E(x461,x462)+~P1(x461,x463)
% 0.52/0.65 [47]P1(x473,x472)+~E(x471,x472)+~P1(x473,x471)
% 0.52/0.65 [48]~P3(x481)+P3(x482)+~E(x481,x482)
% 0.52/0.65 [49]P9(x492,x493)+~E(x491,x492)+~P9(x491,x493)
% 0.52/0.65 [50]P9(x503,x502)+~E(x501,x502)+~P9(x503,x501)
% 0.52/0.65 [51]~P2(x511)+P2(x512)+~E(x511,x512)
% 0.52/0.65 [52]~P7(x521)+P7(x522)+~E(x521,x522)
% 0.52/0.65 [53]P10(x532,x533,x534)+~E(x531,x532)+~P10(x531,x533,x534)
% 0.52/0.65 [54]P10(x543,x542,x544)+~E(x541,x542)+~P10(x543,x541,x544)
% 0.52/0.65 [55]P10(x553,x554,x552)+~E(x551,x552)+~P10(x553,x554,x551)
% 0.52/0.65 [56]P4(x562,x563)+~E(x561,x562)+~P4(x561,x563)
% 0.52/0.65 [57]P4(x573,x572)+~E(x571,x572)+~P4(x573,x571)
% 0.52/0.65 [58]P6(x582,x583)+~E(x581,x582)+~P6(x581,x583)
% 0.52/0.65 [59]P6(x593,x592)+~E(x591,x592)+~P6(x593,x591)
% 0.52/0.65 [60]P19(x602,x603)+~E(x601,x602)+~P19(x601,x603)
% 0.52/0.65 [61]P19(x613,x612)+~E(x611,x612)+~P19(x613,x611)
% 0.52/0.65 [62]P8(x622,x623)+~E(x621,x622)+~P8(x621,x623)
% 0.52/0.65 [63]P8(x633,x632)+~E(x631,x632)+~P8(x633,x631)
% 0.52/0.65 [64]P17(x642,x643)+~E(x641,x642)+~P17(x641,x643)
% 0.52/0.65 [65]P17(x653,x652)+~E(x651,x652)+~P17(x653,x651)
% 0.52/0.65 [66]P13(x662,x663)+~E(x661,x662)+~P13(x661,x663)
% 0.52/0.65 [67]P13(x673,x672)+~E(x671,x672)+~P13(x673,x671)
% 0.52/0.65 [68]~P11(x681)+P11(x682)+~E(x681,x682)
% 0.52/0.65 [69]P18(x692,x693)+~E(x691,x692)+~P18(x691,x693)
% 0.52/0.65 [70]P18(x703,x702)+~E(x701,x702)+~P18(x703,x701)
% 0.52/0.65 [71]~P12(x711)+P12(x712)+~E(x711,x712)
% 0.52/0.65 [72]P5(x722,x723)+~E(x721,x722)+~P5(x721,x723)
% 0.52/0.65 [73]P5(x733,x732)+~E(x731,x732)+~P5(x733,x731)
% 0.52/0.65 [74]~P14(x741)+P14(x742)+~E(x741,x742)
% 0.52/0.65 [75]~P15(x751)+P15(x752)+~E(x751,x752)
% 0.52/0.65 [76]P16(x762,x763)+~E(x761,x762)+~P16(x761,x763)
% 0.52/0.65 [77]P16(x773,x772)+~E(x771,x772)+~P16(x773,x771)
% 0.52/0.65
% 0.52/0.65 %-------------------------------------------
% 0.52/0.65 cnf(164,plain,
% 0.52/0.65 (P4(f6(x1642,x1641),x1641)),
% 0.52/0.65 inference(equality_inference,[],[120])).
% 0.52/0.65 cnf(174,plain,
% 0.52/0.65 (~P4(a4,x1741)),
% 0.52/0.65 inference(rename_variables,[],[97])).
% 0.52/0.65 cnf(182,plain,
% 0.52/0.65 (P4(f6(x1821,x1822),x1822)),
% 0.52/0.65 inference(rename_variables,[],[164])).
% 0.52/0.65 cnf(189,plain,
% 0.52/0.65 ($false),
% 0.52/0.65 inference(scs_inference,[],[92,164,182,80,79,97,174,83,78,89,111,2,112,113,124,136,121,127,128,3,56]),
% 0.52/0.65 ['proof']).
% 0.52/0.65 % SZS output end Proof
% 0.52/0.65 % Total time :0.000000s
%------------------------------------------------------------------------------