TSTP Solution File: SWV369+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV369+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 : n027.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 0.20s 0.79s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV369+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.34 % Computer : n027.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 09:31:23 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.20/0.54 start to proof:theBenchmark
% 0.20/0.78 %-------------------------------------------
% 0.20/0.78 % File :CSE---1.6
% 0.20/0.78 % Problem :theBenchmark
% 0.20/0.78 % Transform :cnf
% 0.20/0.78 % Format :tptp:raw
% 0.20/0.78 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.78
% 0.20/0.78 % Result :Theorem 0.180000s
% 0.20/0.78 % Output :CNFRefutation 0.180000s
% 0.20/0.78 %-------------------------------------------
% 0.20/0.79 %------------------------------------------------------------------------------
% 0.20/0.79 % File : SWV369+1 : TPTP v8.1.2. Released v3.3.0.
% 0.20/0.79 % Domain : Software Verification
% 0.20/0.79 % Problem : Priority queue checker: lemma_contains_s_I base
% 0.20/0.79 % Version : [dNP05] axioms.
% 0.20/0.79 % English :
% 0.20/0.79
% 0.20/0.79 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.20/0.79 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.20/0.79 % Source : [Pis06]
% 0.20/0.79 % Names : cpq_l005 [Pis06]
% 0.20/0.79
% 0.20/0.79 % Status : Theorem
% 0.20/0.79 % Rating : 0.14 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.13 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.13 v7.0.0, 0.10 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.28 v6.1.0, 0.23 v6.0.0, 0.17 v5.5.0, 0.19 v5.4.0, 0.21 v5.3.0, 0.30 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.12 v4.1.0, 0.17 v4.0.1, 0.26 v4.0.0, 0.29 v3.7.0, 0.20 v3.5.0, 0.21 v3.3.0
% 0.20/0.79 % Syntax : Number of formulae : 63 ( 23 unt; 0 def)
% 0.20/0.79 % Number of atoms : 130 ( 40 equ)
% 0.20/0.79 % Maximal formula atoms : 4 ( 2 avg)
% 0.20/0.79 % Number of connectives : 83 ( 16 ~; 4 |; 21 &)
% 0.20/0.79 % ( 17 <=>; 25 =>; 0 <=; 0 <~>)
% 0.20/0.79 % Maximal formula depth : 9 ( 5 avg)
% 0.20/0.79 % Maximal term depth : 5 ( 1 avg)
% 0.20/0.79 % Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% 0.20/0.79 % Number of functors : 26 ( 26 usr; 4 con; 0-3 aty)
% 0.20/0.79 % Number of variables : 166 ( 163 !; 3 ?)
% 0.20/0.79 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.79
% 0.20/0.79 % Comments :
% 0.20/0.79 %------------------------------------------------------------------------------
% 0.20/0.79 %----Include the axioms about priority queues and checked priority queues
% 0.20/0.79 include('Axioms/SWV007+0.ax').
% 0.20/0.79 include('Axioms/SWV007+1.ax').
% 0.20/0.79 include('Axioms/SWV007+2.ax').
% 0.20/0.79 include('Axioms/SWV007+3.ax').
% 0.20/0.79 include('Axioms/SWV007+4.ax').
% 0.20/0.79 %------------------------------------------------------------------------------
% 0.20/0.79 %----goal: fof(lemma_contains_s_I,lemma,
% 0.20/0.79 %---- (! [U,V,W,X] : (contains_cpq(triple(U,V,W),X) <=>
% 0.20/0.79 %---- contains_pq(i(triple(U,V,W)),X)))).
% 0.20/0.79
% 0.20/0.79 %----base:
% 0.20/0.79 fof(l5_co,conjecture,
% 0.20/0.79 ! [U,V,W] :
% 0.20/0.79 ( contains_cpq(triple(U,create_slb,V),W)
% 0.20/0.79 <=> contains_pq(i(triple(U,create_slb,V)),W) ) ).
% 0.20/0.79
% 0.20/0.79 %------------------------------------------------------------------------------
% 0.20/0.79 %-------------------------------------------
% 0.20/0.79 % Proof found
% 0.20/0.79 % SZS status Theorem for theBenchmark
% 0.20/0.79 % SZS output start Proof
% 0.20/0.79 %ClaNum:163(EqnAxiom:77)
% 0.20/0.79 %VarNum:463(SingletonVarNum:220)
% 0.20/0.79 %MaxLitNum:4
% 0.20/0.79 %MaxfuncDepth:4
% 0.20/0.79 %SharedTerms:15
% 0.20/0.79 %goalClause: 157 162
% 0.20/0.79 [94]~P2(a4)
% 0.20/0.79 [95]~P7(a1)
% 0.20/0.79 [79]P1(a2,x791)
% 0.20/0.79 [80]P1(x801,x801)
% 0.20/0.79 [81]P9(x811,x811)
% 0.20/0.79 [96]~P4(a4,x961)
% 0.20/0.79 [97]~P6(a1,x971)
% 0.20/0.79 [78]E(f5(a1,x781),a1)
% 0.20/0.79 [98]~P10(a1,x981,x982)
% 0.20/0.79 [82]P2(f6(x821,x822))
% 0.20/0.79 [90]P3(f29(x901,a1,x902))
% 0.20/0.79 [99]~P11(f29(x991,x992,a3))
% 0.20/0.79 [83]E(f21(f6(x831,x832),x832),x831)
% 0.20/0.79 [88]E(f7(f29(x881,a1,x882)),a2)
% 0.20/0.79 [89]E(f16(f29(x891,a1,x892)),a4)
% 0.20/0.79 [91]E(f8(f29(x911,a1,x912)),f29(x911,a1,a3))
% 0.20/0.79 [84]E(f6(f6(x841,x842),x843),f6(f6(x841,x843),x842))
% 0.20/0.79 [85]P7(f23(x851,f22(x852,x853)))
% 0.20/0.79 [86]E(f27(f23(x861,f22(x862,x863)),x862),x861)
% 0.20/0.79 [87]E(f25(f23(x871,f22(x872,x873)),x872),x873)
% 0.20/0.79 [92]E(f29(f24(x921,x922),f23(x923,f22(x922,a2)),x924),f20(f29(x921,x923,x924),x922))
% 0.20/0.79 [93]E(f16(f29(x931,f23(x932,f22(x933,x934)),x935)),f6(f16(f29(x931,x932,x935)),x933))
% 0.20/0.79 [157]P5(f29(a13,a1,a14),a15)+P4(f16(f29(a13,a1,a14)),a15)
% 0.20/0.79 [162]~P5(f29(a13,a1,a14),a15)+~P4(f16(f29(a13,a1,a14)),a15)
% 0.20/0.79 [100]~P12(x1001)+P3(f9(x1001))
% 0.20/0.79 [101]~P12(x1011)+P11(f9(x1011))
% 0.20/0.79 [102]~P12(x1021)+P9(x1021,f9(x1021))
% 0.20/0.79 [104]~P14(x1041)+P13(f16(x1041),f10(x1041))
% 0.20/0.79 [105]~P15(x1051)+P13(f16(x1051),f12(x1051))
% 0.20/0.79 [103]P1(x1032,x1031)+P1(x1031,x1032)
% 0.20/0.79 [108]~P17(x1081,x1082)+P1(x1081,x1082)
% 0.20/0.79 [109]~P18(x1091,x1092)+P4(x1091,x1092)
% 0.20/0.79 [110]~P13(x1101,x1102)+P4(x1101,x1102)
% 0.20/0.79 [111]~P19(x1111,x1112)+P4(x1111,x1112)
% 0.20/0.79 [112]~P13(x1121,x1122)+P8(x1121,x1122)
% 0.20/0.79 [113]~P19(x1131,x1132)+P8(x1131,x1132)
% 0.20/0.79 [114]~P4(x1141,x1142)+P18(x1141,x1142)
% 0.20/0.79 [119]~P17(x1192,x1191)+~P1(x1191,x1192)
% 0.20/0.79 [106]P14(x1061)+~P13(f16(x1061),x1062)
% 0.20/0.79 [107]P15(x1071)+~P13(f16(x1071),x1072)
% 0.20/0.79 [116]~P9(x1161,x1162)+P9(x1161,f8(x1162))
% 0.20/0.79 [117]~P16(x1171,x1172)+P18(f16(x1171),x1172)
% 0.20/0.79 [120]P16(x1201,x1202)+~P18(f16(x1201),x1202)
% 0.20/0.79 [122]P8(x1221,x1222)+P4(x1221,f11(x1221,x1222))
% 0.20/0.79 [134]P8(x1341,x1342)+~P1(x1342,f11(x1341,x1342))
% 0.20/0.79 [136]~P9(x1361,x1362)+P9(x1361,f26(f8(x1362),f7(x1362)))
% 0.20/0.79 [118]~E(x1182,x1183)+P4(f6(x1181,x1182),x1183)
% 0.20/0.79 [130]~P9(x1301,x1302)+P9(x1301,f20(x1302,x1303))
% 0.20/0.79 [131]~P9(x1311,x1312)+P9(x1311,f26(x1312,x1313))
% 0.20/0.79 [132]~P4(x1321,x1323)+P4(f6(x1321,x1322),x1323)
% 0.20/0.79 [139]E(x1391,a3)+P11(f29(x1392,x1393,x1391))
% 0.20/0.79 [141]E(x1411,a1)+E(f7(f29(x1412,x1411,x1413)),f19(x1412))
% 0.20/0.79 [144]~P6(x1442,x1444)+P5(f29(x1441,x1442,x1443),x1444)
% 0.20/0.79 [150]P6(x1501,x1502)+~P5(f29(x1503,x1501,x1504),x1502)
% 0.20/0.79 [137]~E(x1372,x1374)+P6(f23(x1371,f22(x1372,x1373)),x1374)
% 0.20/0.79 [140]~P6(x1401,x1404)+P6(f23(x1401,f22(x1402,x1403)),x1404)
% 0.20/0.79 [149]P6(x1492,x1494)+E(f26(f29(x1491,x1492,x1493),x1494),f29(x1491,x1492,a3))
% 0.20/0.79 [146]~P1(x1462,x1464)+E(f23(f5(x1461,x1462),f22(x1463,x1464)),f5(f23(x1461,f22(x1463,x1464)),x1462))
% 0.20/0.79 [147]~P17(x1473,x1474)+E(f5(f23(x1471,f22(x1472,x1473)),x1474),f23(f5(x1471,x1474),f22(x1472,x1474)))
% 0.20/0.79 [151]~P10(x1511,x1514,x1515)+P10(f23(x1511,f22(x1512,x1513)),x1514,x1515)
% 0.20/0.79 [160]~P17(x1601,x1602)+~P3(f29(x1603,f23(x1604,f22(x1601,x1602)),x1605))
% 0.20/0.79 [121]P17(x1212,x1211)+~P1(x1212,x1211)+P1(x1211,x1212)
% 0.20/0.79 [125]~P4(x1251,x1252)+~P8(x1251,x1252)+P13(x1251,x1252)
% 0.20/0.79 [126]~P4(x1261,x1262)+~P8(x1261,x1262)+P19(x1261,x1262)
% 0.20/0.79 [127]~P4(x1271,x1272)+~P8(x1271,x1272)+E(f17(x1271,x1272),x1271)
% 0.20/0.79 [128]~P4(x1281,x1282)+~P8(x1281,x1282)+E(f18(x1281,x1282),x1282)
% 0.20/0.79 [129]~P4(x1291,x1292)+~P8(x1291,x1292)+E(f30(x1291,x1292),x1292)
% 0.20/0.79 [133]~P4(x1331,x1332)+~P8(x1331,x1332)+E(f31(x1331,x1332),f21(x1331,x1332))
% 0.20/0.79 [123]~P8(x1233,x1231)+P1(x1231,x1232)+~P4(x1233,x1232)
% 0.20/0.79 [124]~P1(x1241,x1243)+P1(x1241,x1242)+~P1(x1243,x1242)
% 0.20/0.79 [135]E(x1351,x1352)+P4(x1353,x1352)+~P4(f6(x1353,x1351),x1352)
% 0.20/0.79 [138]~P4(x1383,x1381)+E(x1381,x1382)+E(f21(f6(x1383,x1382),x1381),f6(f21(x1383,x1381),x1382))
% 0.20/0.79 [152]P6(x1521,f19(x1522))+E(x1521,a1)+E(f8(f29(x1522,x1521,x1523)),f29(x1522,f5(x1521,f19(x1522)),a3))
% 0.20/0.79 [145]E(x1451,x1452)+P6(x1453,x1452)+~P6(f23(x1453,f22(x1451,x1454)),x1452)
% 0.20/0.79 [155]~P6(x1552,x1554)+~P17(x1554,f25(x1552,x1554))+E(f26(f29(x1551,x1552,x1553),x1554),f29(f28(x1551,x1554),f27(x1552,x1554),a3))
% 0.20/0.79 [156]~P6(x1563,x1562)+~P1(f25(x1563,x1562),x1562)+E(f29(f28(x1561,x1562),f27(x1563,x1562),x1564),f26(f29(x1561,x1563,x1564),x1562))
% 0.20/0.80 [142]~P6(x1423,x1422)+E(x1421,x1422)+E(f25(f23(x1423,f22(x1421,x1424)),x1422),f25(x1423,x1422))
% 0.20/0.80 [148]~P6(x1483,x1482)+E(x1481,x1482)+E(f27(f23(x1483,f22(x1481,x1484)),x1482),f23(f27(x1483,x1482),f22(x1481,x1484)))
% 0.20/0.80 [143]~E(x1433,x1435)+~E(x1432,x1434)+P10(f23(x1431,f22(x1432,x1433)),x1434,x1435)
% 0.20/0.80 [153]E(x1531,x1532)+P10(x1533,x1534,x1532)+~P10(f23(x1533,f22(x1535,x1531)),x1534,x1532)
% 0.20/0.80 [154]E(x1541,x1542)+P10(x1543,x1542,x1544)+~P10(f23(x1543,f22(x1541,x1545)),x1542,x1544)
% 0.20/0.80 [161]~P1(x1614,x1613)+~P3(f29(x1611,x1612,x1615))+P3(f29(x1611,f23(x1612,f22(x1613,x1614)),x1615))
% 0.20/0.80 [163]~P1(x1634,x1635)+P3(f29(x1631,x1632,x1633))+~P3(f29(x1631,f23(x1632,f22(x1635,x1634)),x1633))
% 0.20/0.80 [115]~P11(x1152)+~P9(x1151,x1152)+P12(x1151)+~P3(x1152)
% 0.20/0.80 [158]~P6(x1581,f19(x1582))+E(x1581,a1)+~P17(f19(x1582),f25(x1581,f19(x1582)))+E(f8(f29(x1582,x1581,x1583)),f29(x1582,f5(x1581,f19(x1582)),a3))
% 0.20/0.80 [159]~P6(x1591,f19(x1592))+E(x1591,a1)+~P1(f25(x1591,f19(x1592)),f19(x1592))+E(f29(x1592,f5(x1591,f19(x1592)),x1593),f8(f29(x1592,x1591,x1593)))
% 0.20/0.80 %EqnAxiom
% 0.20/0.80 [1]E(x11,x11)
% 0.20/0.80 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.80 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.80 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.20/0.80 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.20/0.80 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.20/0.80 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.20/0.80 [8]~E(x81,x82)+E(f29(x81,x83,x84),f29(x82,x83,x84))
% 0.20/0.80 [9]~E(x91,x92)+E(f29(x93,x91,x94),f29(x93,x92,x94))
% 0.20/0.80 [10]~E(x101,x102)+E(f29(x103,x104,x101),f29(x103,x104,x102))
% 0.20/0.80 [11]~E(x111,x112)+E(f21(x111,x113),f21(x112,x113))
% 0.20/0.80 [12]~E(x121,x122)+E(f21(x123,x121),f21(x123,x122))
% 0.20/0.80 [13]~E(x131,x132)+E(f8(x131),f8(x132))
% 0.20/0.80 [14]~E(x141,x142)+E(f23(x141,x143),f23(x142,x143))
% 0.20/0.80 [15]~E(x151,x152)+E(f23(x153,x151),f23(x153,x152))
% 0.20/0.80 [16]~E(x161,x162)+E(f22(x161,x163),f22(x162,x163))
% 0.20/0.80 [17]~E(x171,x172)+E(f22(x173,x171),f22(x173,x172))
% 0.20/0.80 [18]~E(x181,x182)+E(f19(x181),f19(x182))
% 0.20/0.80 [19]~E(x191,x192)+E(f28(x191,x193),f28(x192,x193))
% 0.20/0.80 [20]~E(x201,x202)+E(f28(x203,x201),f28(x203,x202))
% 0.20/0.80 [21]~E(x211,x212)+E(f27(x211,x213),f27(x212,x213))
% 0.20/0.80 [22]~E(x221,x222)+E(f27(x223,x221),f27(x223,x222))
% 0.20/0.80 [23]~E(x231,x232)+E(f25(x231,x233),f25(x232,x233))
% 0.20/0.80 [24]~E(x241,x242)+E(f25(x243,x241),f25(x243,x242))
% 0.20/0.80 [25]~E(x251,x252)+E(f26(x251,x253),f26(x252,x253))
% 0.20/0.80 [26]~E(x261,x262)+E(f26(x263,x261),f26(x263,x262))
% 0.20/0.80 [27]~E(x271,x272)+E(f18(x271,x273),f18(x272,x273))
% 0.20/0.80 [28]~E(x281,x282)+E(f18(x283,x281),f18(x283,x282))
% 0.20/0.80 [29]~E(x291,x292)+E(f20(x291,x293),f20(x292,x293))
% 0.20/0.80 [30]~E(x301,x302)+E(f20(x303,x301),f20(x303,x302))
% 0.20/0.80 [31]~E(x311,x312)+E(f16(x311),f16(x312))
% 0.20/0.80 [32]~E(x321,x322)+E(f9(x321),f9(x322))
% 0.20/0.80 [33]~E(x331,x332)+E(f11(x331,x333),f11(x332,x333))
% 0.20/0.80 [34]~E(x341,x342)+E(f11(x343,x341),f11(x343,x342))
% 0.20/0.80 [35]~E(x351,x352)+E(f7(x351),f7(x352))
% 0.20/0.80 [36]~E(x361,x362)+E(f30(x361,x363),f30(x362,x363))
% 0.20/0.80 [37]~E(x371,x372)+E(f30(x373,x371),f30(x373,x372))
% 0.20/0.80 [38]~E(x381,x382)+E(f12(x381),f12(x382))
% 0.20/0.80 [39]~E(x391,x392)+E(f10(x391),f10(x392))
% 0.20/0.80 [40]~E(x401,x402)+E(f31(x401,x403),f31(x402,x403))
% 0.20/0.80 [41]~E(x411,x412)+E(f31(x413,x411),f31(x413,x412))
% 0.20/0.80 [42]~E(x421,x422)+E(f24(x421,x423),f24(x422,x423))
% 0.20/0.80 [43]~E(x431,x432)+E(f24(x433,x431),f24(x433,x432))
% 0.20/0.80 [44]~E(x441,x442)+E(f17(x441,x443),f17(x442,x443))
% 0.20/0.80 [45]~E(x451,x452)+E(f17(x453,x451),f17(x453,x452))
% 0.20/0.80 [46]P1(x462,x463)+~E(x461,x462)+~P1(x461,x463)
% 0.20/0.80 [47]P1(x473,x472)+~E(x471,x472)+~P1(x473,x471)
% 0.20/0.80 [48]~P3(x481)+P3(x482)+~E(x481,x482)
% 0.20/0.80 [49]P9(x492,x493)+~E(x491,x492)+~P9(x491,x493)
% 0.20/0.80 [50]P9(x503,x502)+~E(x501,x502)+~P9(x503,x501)
% 0.20/0.80 [51]~P2(x511)+P2(x512)+~E(x511,x512)
% 0.20/0.80 [52]~P7(x521)+P7(x522)+~E(x521,x522)
% 0.20/0.80 [53]P6(x532,x533)+~E(x531,x532)+~P6(x531,x533)
% 0.20/0.80 [54]P6(x543,x542)+~E(x541,x542)+~P6(x543,x541)
% 0.20/0.80 [55]P5(x552,x553)+~E(x551,x552)+~P5(x551,x553)
% 0.20/0.80 [56]P5(x563,x562)+~E(x561,x562)+~P5(x563,x561)
% 0.20/0.80 [57]P10(x572,x573,x574)+~E(x571,x572)+~P10(x571,x573,x574)
% 0.20/0.80 [58]P10(x583,x582,x584)+~E(x581,x582)+~P10(x583,x581,x584)
% 0.20/0.80 [59]P10(x593,x594,x592)+~E(x591,x592)+~P10(x593,x594,x591)
% 0.20/0.80 [60]P4(x602,x603)+~E(x601,x602)+~P4(x601,x603)
% 0.20/0.80 [61]P4(x613,x612)+~E(x611,x612)+~P4(x613,x611)
% 0.20/0.80 [62]~P11(x621)+P11(x622)+~E(x621,x622)
% 0.20/0.80 [63]P17(x632,x633)+~E(x631,x632)+~P17(x631,x633)
% 0.20/0.80 [64]P17(x643,x642)+~E(x641,x642)+~P17(x643,x641)
% 0.20/0.80 [65]P18(x652,x653)+~E(x651,x652)+~P18(x651,x653)
% 0.20/0.80 [66]P18(x663,x662)+~E(x661,x662)+~P18(x663,x661)
% 0.20/0.80 [67]P8(x672,x673)+~E(x671,x672)+~P8(x671,x673)
% 0.20/0.80 [68]P8(x683,x682)+~E(x681,x682)+~P8(x683,x681)
% 0.20/0.80 [69]~P12(x691)+P12(x692)+~E(x691,x692)
% 0.20/0.80 [70]P16(x702,x703)+~E(x701,x702)+~P16(x701,x703)
% 0.20/0.80 [71]P16(x713,x712)+~E(x711,x712)+~P16(x713,x711)
% 0.20/0.80 [72]P13(x722,x723)+~E(x721,x722)+~P13(x721,x723)
% 0.20/0.80 [73]P13(x733,x732)+~E(x731,x732)+~P13(x733,x731)
% 0.20/0.80 [74]P19(x742,x743)+~E(x741,x742)+~P19(x741,x743)
% 0.20/0.80 [75]P19(x753,x752)+~E(x751,x752)+~P19(x753,x751)
% 0.20/0.80 [76]~P15(x761)+P15(x762)+~E(x761,x762)
% 0.20/0.80 [77]~P14(x771)+P14(x772)+~E(x771,x772)
% 0.20/0.80
% 0.20/0.80 %-------------------------------------------
% 0.20/0.80 cnf(164,plain,
% 0.20/0.80 (E(a1,f5(a1,x1641))),
% 0.20/0.80 inference(scs_inference,[],[78,2])).
% 0.20/0.80 cnf(165,plain,
% 0.20/0.80 (~P17(x1651,x1651)),
% 0.20/0.80 inference(scs_inference,[],[78,80,2,119])).
% 0.20/0.80 cnf(167,plain,
% 0.20/0.80 (~P19(a4,x1671)),
% 0.20/0.80 inference(scs_inference,[],[78,80,96,2,119,111])).
% 0.20/0.80 cnf(169,plain,
% 0.20/0.80 (~P13(a4,x1691)),
% 0.20/0.80 inference(scs_inference,[],[78,80,96,2,119,111,110])).
% 0.20/0.80 cnf(171,plain,
% 0.20/0.80 (~P18(a4,x1711)),
% 0.20/0.80 inference(scs_inference,[],[78,80,96,2,119,111,110,109])).
% 0.20/0.80 cnf(177,plain,
% 0.20/0.80 (~P4(a4,x1771)),
% 0.20/0.80 inference(rename_variables,[],[96])).
% 0.20/0.80 cnf(180,plain,
% 0.20/0.80 (E(f21(f6(x1801,x1802),x1802),x1801)),
% 0.20/0.80 inference(rename_variables,[],[83])).
% 0.20/0.80 cnf(183,plain,
% 0.20/0.80 (E(f21(f6(x1831,x1832),x1832),x1831)),
% 0.20/0.80 inference(rename_variables,[],[83])).
% 0.20/0.80 cnf(187,plain,
% 0.20/0.80 (P1(x1871,x1871)),
% 0.20/0.80 inference(rename_variables,[],[80])).
% 0.20/0.80 cnf(190,plain,
% 0.20/0.80 (E(f21(f6(x1901,x1902),x1902),x1901)),
% 0.20/0.80 inference(rename_variables,[],[83])).
% 0.20/0.80 cnf(191,plain,
% 0.20/0.80 (~P5(f29(x1911,a1,x1912),x1913)),
% 0.20/0.80 inference(scs_inference,[],[78,80,187,81,79,96,97,94,95,99,83,180,183,2,119,111,110,109,134,122,62,52,51,50,49,47,46,3,150])).
% 0.20/0.80 cnf(193,plain,
% 0.20/0.80 (P6(f23(x1931,f22(f5(a1,x1932),x1933)),a1)),
% 0.20/0.80 inference(scs_inference,[],[78,80,187,81,79,96,97,94,95,99,83,180,183,2,119,111,110,109,134,122,62,52,51,50,49,47,46,3,150,137])).
% 0.20/0.80 cnf(199,plain,
% 0.20/0.80 (P4(f6(x1991,f5(a1,x1992)),a1)),
% 0.20/0.80 inference(scs_inference,[],[78,80,187,81,79,96,97,94,95,99,83,180,183,2,119,111,110,109,134,122,62,52,51,50,49,47,46,3,150,137,131,130,118])).
% 0.20/0.80 cnf(258,plain,
% 0.20/0.80 (~P5(f8(f29(x2581,a1,x2582)),x2583)),
% 0.20/0.80 inference(scs_inference,[],[78,80,187,81,98,79,96,177,97,94,95,99,83,180,183,190,91,86,2,119,111,110,109,134,122,62,52,51,50,49,47,46,3,150,137,131,130,118,116,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,149,146,74,72,65,64,63,60,57,55])).
% 0.20/0.80 cnf(260,plain,
% 0.20/0.80 (P10(f23(x2601,f22(f5(a1,x2602),f5(a1,x2602))),a1,a1)),
% 0.20/0.80 inference(scs_inference,[],[78,80,187,81,98,79,96,177,97,94,95,99,83,180,183,190,91,86,2,119,111,110,109,134,122,62,52,51,50,49,47,46,3,150,137,131,130,118,116,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,136,149,146,74,72,65,64,63,60,57,55,53,143])).
% 0.20/0.80 cnf(286,plain,
% 0.20/0.80 (P4(f16(f29(a13,a1,a14)),a15)),
% 0.20/0.80 inference(scs_inference,[],[191,157])).
% 0.20/0.80 cnf(303,plain,
% 0.20/0.80 (~P17(x3031,x3031)),
% 0.20/0.80 inference(rename_variables,[],[165])).
% 0.20/0.80 cnf(307,plain,
% 0.20/0.80 (E(f25(f23(x3071,f22(x3072,x3073)),x3072),x3073)),
% 0.20/0.80 inference(rename_variables,[],[87])).
% 0.20/0.80 cnf(320,plain,
% 0.20/0.80 (~P4(f16(f29(x3201,a1,x3202)),x3203)),
% 0.20/0.80 inference(scs_inference,[],[78,82,85,88,89,87,307,79,94,95,90,97,96,165,303,258,167,169,171,193,199,164,260,114,151,144,140,56,143,161,132,64,63,55,52,150,74,72,65,61,54,53,51,66,60])).
% 0.20/0.80 cnf(382,plain,
% 0.20/0.80 ($false),
% 0.20/0.80 inference(scs_inference,[],[320,286]),
% 0.20/0.80 ['proof']).
% 0.20/0.80 % SZS output end Proof
% 0.20/0.80 % Total time :0.180000s
%------------------------------------------------------------------------------