TSTP Solution File: SWV416+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV416+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 : n032.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 0.58s 0.72s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SWV416+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Aug 29 03:11:31 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.49 start to proof:theBenchmark
% 0.58/0.71 %-------------------------------------------
% 0.58/0.71 % File :CSE---1.6
% 0.58/0.71 % Problem :theBenchmark
% 0.58/0.71 % Transform :cnf
% 0.58/0.71 % Format :tptp:raw
% 0.58/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.58/0.71
% 0.58/0.71 % Result :Theorem 0.170000s
% 0.58/0.71 % Output :CNFRefutation 0.170000s
% 0.58/0.71 %-------------------------------------------
% 0.58/0.71 %--------------------------------------------------------------------------
% 0.58/0.71 % File : SWV416+1 : TPTP v8.1.2. Released v3.3.0.
% 0.58/0.71 % Domain : Software Verification
% 0.58/0.71 % Problem : Priority queue checker: Formula (8)
% 0.58/0.71 % Version : [dNP05] axioms.
% 0.58/0.71 % English :
% 0.58/0.71
% 0.58/0.71 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.58/0.71 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.58/0.71 % Source : [Pis06]
% 0.58/0.71 % Names : cpq003 [Pis06]
% 0.58/0.71
% 0.58/0.71 % Status : Theorem
% 0.58/0.71 % Rating : 0.28 v8.1.0, 0.25 v7.5.0, 0.28 v7.4.0, 0.23 v7.3.0, 0.24 v7.1.0, 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, 0.41 v5.4.0, 0.46 v5.3.0, 0.52 v5.2.0, 0.45 v5.1.0, 0.43 v5.0.0, 0.38 v4.1.0, 0.43 v4.0.0, 0.46 v3.7.0, 0.40 v3.5.0, 0.47 v3.3.0
% 0.58/0.71 % Syntax : Number of formulae : 65 ( 24 unt; 0 def)
% 0.58/0.71 % Number of atoms : 135 ( 43 equ)
% 0.58/0.71 % Maximal formula atoms : 4 ( 2 avg)
% 0.58/0.71 % Number of connectives : 86 ( 16 ~; 4 |; 22 &)
% 0.58/0.71 % ( 16 <=>; 28 =>; 0 <=; 0 <~>)
% 0.58/0.71 % Maximal formula depth : 9 ( 5 avg)
% 0.58/0.71 % Maximal term depth : 5 ( 1 avg)
% 0.58/0.71 % Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% 0.58/0.71 % Number of functors : 26 ( 26 usr; 4 con; 0-3 aty)
% 0.58/0.71 % Number of variables : 176 ( 173 !; 3 ?)
% 0.58/0.71 % SPC : FOF_THM_RFO_SEQ
% 0.58/0.71
% 0.58/0.71 % Comments :
% 0.58/0.71 %--------------------------------------------------------------------------
% 0.58/0.71 %----Include the axioms about priority queues and checked priority queues
% 0.58/0.71 include('Axioms/SWV007+0.ax').
% 0.58/0.71 include('Axioms/SWV007+1.ax').
% 0.58/0.71 include('Axioms/SWV007+2.ax').
% 0.58/0.71 include('Axioms/SWV007+3.ax').
% 0.58/0.71 include('Axioms/SWV007+4.ax').
% 0.58/0.71 %--------------------------------------------------------------------------
% 0.58/0.71 fof(main3_li12,lemma,
% 0.58/0.71 ! [U,V,W,X,Y] : i(triple(U,W,X)) = i(triple(V,W,Y)) ).
% 0.58/0.71
% 0.58/0.72 fof(main3_li34,lemma,
% 0.58/0.72 ! [U,V,W,X] :
% 0.58/0.72 ( contains_pq(i(triple(U,V,W)),X)
% 0.58/0.72 => i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X) ) ).
% 0.58/0.72
% 0.58/0.72 fof(co3,conjecture,
% 0.58/0.72 ! [U,V,W,X] :
% 0.58/0.72 ( pi_remove(triple(U,V,W),X)
% 0.58/0.72 => ( phi(remove_cpq(triple(U,V,W),X))
% 0.58/0.72 => ( pi_sharp_remove(i(triple(U,V,W)),X)
% 0.58/0.72 & i(remove_cpq(triple(U,V,W),X)) = remove_pq(i(triple(U,V,W)),X) ) ) ) ).
% 0.58/0.72
% 0.58/0.72 %--------------------------------------------------------------------------
% 0.58/0.72 %-------------------------------------------
% 0.58/0.72 % Proof found
% 0.58/0.72 % SZS status Theorem for theBenchmark
% 0.58/0.72 % SZS output start Proof
% 0.58/0.72 %ClaNum:166(EqnAxiom:77)
% 0.58/0.72 %VarNum:481(SingletonVarNum:229)
% 0.58/0.72 %MaxLitNum:4
% 0.58/0.72 %MaxfuncDepth:4
% 0.58/0.72 %SharedTerms:19
% 0.58/0.72 %goalClause: 91 94 166
% 0.58/0.72 %singleGoalClaCount:2
% 0.58/0.72 [97]~P2(a4)
% 0.58/0.72 [98]~P7(a1)
% 0.58/0.72 [91]P10(f30(a8,a13,a14),a15)
% 0.58/0.72 [94]P11(f27(f30(a8,a13,a14),a15))
% 0.58/0.72 [79]P1(a2,x791)
% 0.58/0.72 [80]P1(x801,x801)
% 0.58/0.72 [81]P9(x811,x811)
% 0.58/0.72 [99]~P4(a4,x991)
% 0.58/0.72 [100]~P6(a1,x1001)
% 0.58/0.72 [78]E(f5(a1,x781),a1)
% 0.58/0.72 [101]~P12(a1,x1011,x1012)
% 0.58/0.72 [82]P2(f6(x821,x822))
% 0.58/0.72 [90]P3(f30(x901,a1,x902))
% 0.58/0.72 [102]~P13(f30(x1021,x1022,a3))
% 0.58/0.72 [83]E(f22(f6(x831,x832),x832),x831)
% 0.58/0.72 [88]E(f7(f30(x881,a1,x882)),a2)
% 0.58/0.72 [89]E(f17(f30(x891,a1,x892)),a4)
% 0.58/0.72 [92]E(f16(f30(x921,a1,x922)),f30(x921,a1,a3))
% 0.58/0.72 [84]E(f6(f6(x841,x842),x843),f6(f6(x841,x843),x842))
% 0.58/0.72 [85]P7(f24(x851,f23(x852,x853)))
% 0.58/0.72 [86]E(f28(f24(x861,f23(x862,x863)),x862),x861)
% 0.58/0.72 [87]E(f26(f24(x871,f23(x872,x873)),x872),x873)
% 0.58/0.72 [95]E(f30(f25(x951,x952),f24(x953,f23(x952,a2)),x954),f21(f30(x951,x953,x954),x952))
% 0.58/0.72 [93]E(f17(f30(x931,x932,x933)),f17(f30(x934,x932,x935)))
% 0.58/0.72 [96]E(f17(f30(x961,f24(x962,f23(x963,x964)),x965)),f6(f17(f30(x961,x962,x965)),x963))
% 0.58/0.72 [166]~P18(f17(f30(a8,a13,a14)),a15)+~E(f17(f27(f30(a8,a13,a14),a15)),f22(f17(f30(a8,a13,a14)),a15))
% 0.58/0.72 [103]~P11(x1031)+P3(f9(x1031))
% 0.58/0.72 [104]~P11(x1041)+P13(f9(x1041))
% 0.58/0.72 [105]~P11(x1051)+P9(x1051,f9(x1051))
% 0.58/0.72 [107]~P14(x1071)+P15(f17(x1071),f10(x1071))
% 0.58/0.72 [108]~P16(x1081)+P15(f17(x1081),f12(x1081))
% 0.58/0.72 [106]P1(x1062,x1061)+P1(x1061,x1062)
% 0.58/0.72 [111]~P17(x1111,x1112)+P1(x1111,x1112)
% 0.58/0.72 [112]~P18(x1121,x1122)+P4(x1121,x1122)
% 0.58/0.72 [113]~P15(x1131,x1132)+P4(x1131,x1132)
% 0.58/0.72 [114]~P19(x1141,x1142)+P4(x1141,x1142)
% 0.58/0.72 [115]~P15(x1151,x1152)+P8(x1151,x1152)
% 0.58/0.72 [116]~P19(x1161,x1162)+P8(x1161,x1162)
% 0.58/0.72 [117]~P4(x1171,x1172)+P18(x1171,x1172)
% 0.58/0.72 [122]~P17(x1222,x1221)+~P1(x1221,x1222)
% 0.58/0.72 [109]P14(x1091)+~P15(f17(x1091),x1092)
% 0.58/0.72 [110]P16(x1101)+~P15(f17(x1101),x1102)
% 0.58/0.72 [119]~P9(x1191,x1192)+P9(x1191,f16(x1192))
% 0.58/0.72 [120]~P10(x1201,x1202)+P18(f17(x1201),x1202)
% 0.58/0.72 [123]P10(x1231,x1232)+~P18(f17(x1231),x1232)
% 0.58/0.72 [125]P8(x1251,x1252)+P4(x1251,f11(x1251,x1252))
% 0.58/0.72 [137]P8(x1371,x1372)+~P1(x1372,f11(x1371,x1372))
% 0.58/0.72 [139]~P9(x1391,x1392)+P9(x1391,f27(f16(x1392),f7(x1392)))
% 0.58/0.72 [121]~E(x1212,x1213)+P4(f6(x1211,x1212),x1213)
% 0.58/0.72 [133]~P9(x1331,x1332)+P9(x1331,f21(x1332,x1333))
% 0.58/0.72 [134]~P9(x1341,x1342)+P9(x1341,f27(x1342,x1343))
% 0.58/0.72 [135]~P4(x1351,x1353)+P4(f6(x1351,x1352),x1353)
% 0.58/0.72 [142]E(x1421,a3)+P13(f30(x1422,x1423,x1421))
% 0.58/0.72 [144]E(x1441,a1)+E(f7(f30(x1442,x1441,x1443)),f20(x1442))
% 0.58/0.72 [147]~P6(x1472,x1474)+P5(f30(x1471,x1472,x1473),x1474)
% 0.58/0.72 [153]P6(x1531,x1532)+~P5(f30(x1533,x1531,x1534),x1532)
% 0.58/0.72 [140]~E(x1402,x1404)+P6(f24(x1401,f23(x1402,x1403)),x1404)
% 0.58/0.72 [143]~P6(x1431,x1434)+P6(f24(x1431,f23(x1432,x1433)),x1434)
% 0.58/0.72 [152]P6(x1522,x1524)+E(f27(f30(x1521,x1522,x1523),x1524),f30(x1521,x1522,a3))
% 0.58/0.72 [149]~P1(x1492,x1494)+E(f24(f5(x1491,x1492),f23(x1493,x1494)),f5(f24(x1491,f23(x1493,x1494)),x1492))
% 0.58/0.72 [150]~P17(x1503,x1504)+E(f5(f24(x1501,f23(x1502,x1503)),x1504),f24(f5(x1501,x1504),f23(x1502,x1504)))
% 0.58/0.72 [165]~P4(f17(f30(x1651,x1652,x1653)),x1654)+E(f17(f27(f30(x1651,x1652,x1653),x1654)),f22(f17(f30(x1651,x1652,x1653)),x1654))
% 0.58/0.72 [154]~P12(x1541,x1544,x1545)+P12(f24(x1541,f23(x1542,x1543)),x1544,x1545)
% 0.58/0.72 [162]~P17(x1621,x1622)+~P3(f30(x1623,f24(x1624,f23(x1621,x1622)),x1625))
% 0.58/0.72 [124]P17(x1242,x1241)+~P1(x1242,x1241)+P1(x1241,x1242)
% 0.58/0.72 [128]~P4(x1281,x1282)+~P8(x1281,x1282)+P15(x1281,x1282)
% 0.58/0.72 [129]~P4(x1291,x1292)+~P8(x1291,x1292)+P19(x1291,x1292)
% 0.58/0.72 [130]~P4(x1301,x1302)+~P8(x1301,x1302)+E(f18(x1301,x1302),x1301)
% 0.58/0.72 [131]~P4(x1311,x1312)+~P8(x1311,x1312)+E(f19(x1311,x1312),x1312)
% 0.58/0.72 [132]~P4(x1321,x1322)+~P8(x1321,x1322)+E(f31(x1321,x1322),x1322)
% 0.58/0.72 [136]~P4(x1361,x1362)+~P8(x1361,x1362)+E(f32(x1361,x1362),f22(x1361,x1362))
% 0.58/0.72 [126]~P8(x1263,x1261)+P1(x1261,x1262)+~P4(x1263,x1262)
% 0.58/0.72 [127]~P1(x1271,x1273)+P1(x1271,x1272)+~P1(x1273,x1272)
% 0.58/0.72 [138]E(x1381,x1382)+P4(x1383,x1382)+~P4(f6(x1383,x1381),x1382)
% 0.58/0.72 [141]~P4(x1413,x1411)+E(x1411,x1412)+E(f22(f6(x1413,x1412),x1411),f6(f22(x1413,x1411),x1412))
% 0.58/0.72 [155]P6(x1551,f20(x1552))+E(x1551,a1)+E(f16(f30(x1552,x1551,x1553)),f30(x1552,f5(x1551,f20(x1552)),a3))
% 0.58/0.72 [148]E(x1481,x1482)+P6(x1483,x1482)+~P6(f24(x1483,f23(x1481,x1484)),x1482)
% 0.58/0.72 [158]~P6(x1582,x1584)+~P17(x1584,f26(x1582,x1584))+E(f27(f30(x1581,x1582,x1583),x1584),f30(f29(x1581,x1584),f28(x1582,x1584),a3))
% 0.58/0.72 [159]~P6(x1593,x1592)+~P1(f26(x1593,x1592),x1592)+E(f30(f29(x1591,x1592),f28(x1593,x1592),x1594),f27(f30(x1591,x1593,x1594),x1592))
% 0.58/0.72 [145]~P6(x1453,x1452)+E(x1451,x1452)+E(f26(f24(x1453,f23(x1451,x1454)),x1452),f26(x1453,x1452))
% 0.58/0.72 [151]~P6(x1513,x1512)+E(x1511,x1512)+E(f28(f24(x1513,f23(x1511,x1514)),x1512),f24(f28(x1513,x1512),f23(x1511,x1514)))
% 0.58/0.72 [146]~E(x1463,x1465)+~E(x1462,x1464)+P12(f24(x1461,f23(x1462,x1463)),x1464,x1465)
% 0.58/0.72 [156]E(x1561,x1562)+P12(x1563,x1564,x1562)+~P12(f24(x1563,f23(x1565,x1561)),x1564,x1562)
% 0.58/0.72 [157]E(x1571,x1572)+P12(x1573,x1572,x1574)+~P12(f24(x1573,f23(x1571,x1575)),x1572,x1574)
% 0.58/0.72 [163]~P1(x1634,x1633)+~P3(f30(x1631,x1632,x1635))+P3(f30(x1631,f24(x1632,f23(x1633,x1634)),x1635))
% 0.58/0.72 [164]~P1(x1644,x1645)+P3(f30(x1641,x1642,x1643))+~P3(f30(x1641,f24(x1642,f23(x1645,x1644)),x1643))
% 0.58/0.72 [118]~P13(x1182)+~P9(x1181,x1182)+P11(x1181)+~P3(x1182)
% 0.58/0.72 [160]~P6(x1601,f20(x1602))+E(x1601,a1)+~P17(f20(x1602),f26(x1601,f20(x1602)))+E(f16(f30(x1602,x1601,x1603)),f30(x1602,f5(x1601,f20(x1602)),a3))
% 0.58/0.72 [161]~P6(x1611,f20(x1612))+E(x1611,a1)+~P1(f26(x1611,f20(x1612)),f20(x1612))+E(f30(x1612,f5(x1611,f20(x1612)),x1613),f16(f30(x1612,x1611,x1613)))
% 0.58/0.72 %EqnAxiom
% 0.58/0.72 [1]E(x11,x11)
% 0.58/0.72 [2]E(x22,x21)+~E(x21,x22)
% 0.58/0.72 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.58/0.72 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.58/0.72 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.58/0.72 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.58/0.72 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.58/0.72 [8]~E(x81,x82)+E(f30(x81,x83,x84),f30(x82,x83,x84))
% 0.58/0.72 [9]~E(x91,x92)+E(f30(x93,x91,x94),f30(x93,x92,x94))
% 0.58/0.72 [10]~E(x101,x102)+E(f30(x103,x104,x101),f30(x103,x104,x102))
% 0.58/0.72 [11]~E(x111,x112)+E(f22(x111,x113),f22(x112,x113))
% 0.58/0.72 [12]~E(x121,x122)+E(f22(x123,x121),f22(x123,x122))
% 0.58/0.72 [13]~E(x131,x132)+E(f17(x131),f17(x132))
% 0.58/0.72 [14]~E(x141,x142)+E(f23(x141,x143),f23(x142,x143))
% 0.58/0.72 [15]~E(x151,x152)+E(f23(x153,x151),f23(x153,x152))
% 0.58/0.72 [16]~E(x161,x162)+E(f24(x161,x163),f24(x162,x163))
% 0.58/0.72 [17]~E(x171,x172)+E(f24(x173,x171),f24(x173,x172))
% 0.58/0.72 [18]~E(x181,x182)+E(f27(x181,x183),f27(x182,x183))
% 0.58/0.72 [19]~E(x191,x192)+E(f27(x193,x191),f27(x193,x192))
% 0.58/0.72 [20]~E(x201,x202)+E(f20(x201),f20(x202))
% 0.58/0.72 [21]~E(x211,x212)+E(f7(x211),f7(x212))
% 0.58/0.72 [22]~E(x221,x222)+E(f26(x221,x223),f26(x222,x223))
% 0.58/0.72 [23]~E(x231,x232)+E(f26(x233,x231),f26(x233,x232))
% 0.58/0.72 [24]~E(x241,x242)+E(f16(x241),f16(x242))
% 0.58/0.72 [25]~E(x251,x252)+E(f28(x251,x253),f28(x252,x253))
% 0.58/0.72 [26]~E(x261,x262)+E(f28(x263,x261),f28(x263,x262))
% 0.58/0.72 [27]~E(x271,x272)+E(f9(x271),f9(x272))
% 0.58/0.72 [28]~E(x281,x282)+E(f25(x281,x283),f25(x282,x283))
% 0.58/0.72 [29]~E(x291,x292)+E(f25(x293,x291),f25(x293,x292))
% 0.58/0.72 [30]~E(x301,x302)+E(f29(x301,x303),f29(x302,x303))
% 0.58/0.72 [31]~E(x311,x312)+E(f29(x313,x311),f29(x313,x312))
% 0.58/0.72 [32]~E(x321,x322)+E(f18(x321,x323),f18(x322,x323))
% 0.58/0.72 [33]~E(x331,x332)+E(f18(x333,x331),f18(x333,x332))
% 0.58/0.72 [34]~E(x341,x342)+E(f11(x341,x343),f11(x342,x343))
% 0.58/0.72 [35]~E(x351,x352)+E(f11(x353,x351),f11(x353,x352))
% 0.58/0.72 [36]~E(x361,x362)+E(f31(x361,x363),f31(x362,x363))
% 0.58/0.72 [37]~E(x371,x372)+E(f31(x373,x371),f31(x373,x372))
% 0.58/0.72 [38]~E(x381,x382)+E(f10(x381),f10(x382))
% 0.58/0.72 [39]~E(x391,x392)+E(f19(x391,x393),f19(x392,x393))
% 0.58/0.72 [40]~E(x401,x402)+E(f19(x403,x401),f19(x403,x402))
% 0.58/0.72 [41]~E(x411,x412)+E(f21(x411,x413),f21(x412,x413))
% 0.58/0.72 [42]~E(x421,x422)+E(f21(x423,x421),f21(x423,x422))
% 0.58/0.72 [43]~E(x431,x432)+E(f12(x431),f12(x432))
% 0.58/0.72 [44]~E(x441,x442)+E(f32(x441,x443),f32(x442,x443))
% 0.58/0.72 [45]~E(x451,x452)+E(f32(x453,x451),f32(x453,x452))
% 0.58/0.72 [46]P1(x462,x463)+~E(x461,x462)+~P1(x461,x463)
% 0.58/0.72 [47]P1(x473,x472)+~E(x471,x472)+~P1(x473,x471)
% 0.58/0.72 [48]P18(x482,x483)+~E(x481,x482)+~P18(x481,x483)
% 0.58/0.72 [49]P18(x493,x492)+~E(x491,x492)+~P18(x493,x491)
% 0.58/0.72 [50]P9(x502,x503)+~E(x501,x502)+~P9(x501,x503)
% 0.58/0.72 [51]P9(x513,x512)+~E(x511,x512)+~P9(x513,x511)
% 0.58/0.72 [52]~P2(x521)+P2(x522)+~E(x521,x522)
% 0.58/0.72 [53]~P7(x531)+P7(x532)+~E(x531,x532)
% 0.58/0.72 [54]~P3(x541)+P3(x542)+~E(x541,x542)
% 0.58/0.72 [55]P10(x552,x553)+~E(x551,x552)+~P10(x551,x553)
% 0.58/0.72 [56]P10(x563,x562)+~E(x561,x562)+~P10(x563,x561)
% 0.58/0.72 [57]~P11(x571)+P11(x572)+~E(x571,x572)
% 0.58/0.72 [58]P6(x582,x583)+~E(x581,x582)+~P6(x581,x583)
% 0.58/0.72 [59]P6(x593,x592)+~E(x591,x592)+~P6(x593,x591)
% 0.58/0.72 [60]P8(x602,x603)+~E(x601,x602)+~P8(x601,x603)
% 0.58/0.72 [61]P8(x613,x612)+~E(x611,x612)+~P8(x613,x611)
% 0.58/0.72 [62]P4(x622,x623)+~E(x621,x622)+~P4(x621,x623)
% 0.58/0.72 [63]P4(x633,x632)+~E(x631,x632)+~P4(x633,x631)
% 0.58/0.72 [64]P17(x642,x643)+~E(x641,x642)+~P17(x641,x643)
% 0.58/0.72 [65]P17(x653,x652)+~E(x651,x652)+~P17(x653,x651)
% 0.58/0.72 [66]P12(x662,x663,x664)+~E(x661,x662)+~P12(x661,x663,x664)
% 0.58/0.72 [67]P12(x673,x672,x674)+~E(x671,x672)+~P12(x673,x671,x674)
% 0.58/0.72 [68]P12(x683,x684,x682)+~E(x681,x682)+~P12(x683,x684,x681)
% 0.58/0.72 [69]~P13(x691)+P13(x692)+~E(x691,x692)
% 0.58/0.72 [70]P15(x702,x703)+~E(x701,x702)+~P15(x701,x703)
% 0.58/0.72 [71]P15(x713,x712)+~E(x711,x712)+~P15(x713,x711)
% 0.58/0.72 [72]P5(x722,x723)+~E(x721,x722)+~P5(x721,x723)
% 0.58/0.72 [73]P5(x733,x732)+~E(x731,x732)+~P5(x733,x731)
% 0.58/0.72 [74]P19(x742,x743)+~E(x741,x742)+~P19(x741,x743)
% 0.58/0.72 [75]P19(x753,x752)+~E(x751,x752)+~P19(x753,x751)
% 0.58/0.72 [76]~P16(x761)+P16(x762)+~E(x761,x762)
% 0.58/0.72 [77]~P14(x771)+P14(x772)+~E(x771,x772)
% 0.58/0.72
% 0.58/0.72 %-------------------------------------------
% 0.58/0.72 cnf(167,plain,
% 0.58/0.72 (E(a1,f5(a1,x1671))),
% 0.58/0.72 inference(scs_inference,[],[78,2])).
% 0.58/0.72 cnf(168,plain,
% 0.58/0.72 (~P17(x1681,x1681)),
% 0.58/0.72 inference(scs_inference,[],[80,78,2,122])).
% 0.58/0.72 cnf(170,plain,
% 0.58/0.72 (~P19(a4,x1701)),
% 0.58/0.72 inference(scs_inference,[],[80,99,78,2,122,114])).
% 0.58/0.72 cnf(172,plain,
% 0.58/0.72 (~P15(a4,x1721)),
% 0.58/0.72 inference(scs_inference,[],[80,99,78,2,122,114,113])).
% 0.58/0.72 cnf(174,plain,
% 0.58/0.72 (~P18(a4,x1741)),
% 0.58/0.72 inference(scs_inference,[],[80,99,78,2,122,114,113,112])).
% 0.58/0.72 cnf(180,plain,
% 0.58/0.72 (~P4(a4,x1801)),
% 0.58/0.72 inference(rename_variables,[],[99])).
% 0.58/0.72 cnf(183,plain,
% 0.58/0.72 (E(f22(f6(x1831,x1832),x1832),x1831)),
% 0.58/0.72 inference(rename_variables,[],[83])).
% 0.58/0.72 cnf(186,plain,
% 0.58/0.72 (E(f22(f6(x1861,x1862),x1862),x1861)),
% 0.58/0.72 inference(rename_variables,[],[83])).
% 0.58/0.72 cnf(190,plain,
% 0.58/0.72 (P1(x1901,x1901)),
% 0.58/0.72 inference(rename_variables,[],[80])).
% 0.58/0.72 cnf(193,plain,
% 0.58/0.72 (E(f22(f6(x1931,x1932),x1932),x1931)),
% 0.58/0.72 inference(rename_variables,[],[83])).
% 0.58/0.72 cnf(196,plain,
% 0.58/0.72 (P6(f24(x1961,f23(f5(a1,x1962),x1963)),a1)),
% 0.58/0.72 inference(scs_inference,[],[80,190,81,79,99,100,97,98,78,102,83,183,186,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140])).
% 0.58/0.72 cnf(200,plain,
% 0.58/0.72 (P9(f5(a1,x2001),f21(f5(a1,x2001),x2002))),
% 0.58/0.72 inference(scs_inference,[],[80,190,81,79,99,100,97,98,78,102,83,183,186,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133])).
% 0.58/0.72 cnf(202,plain,
% 0.58/0.72 (P4(f6(x2021,f5(a1,x2022)),a1)),
% 0.58/0.72 inference(scs_inference,[],[80,190,81,79,99,100,97,98,78,102,83,183,186,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121])).
% 0.58/0.72 cnf(204,plain,
% 0.58/0.72 (P18(f17(f30(a8,a13,a14)),a15)),
% 0.58/0.72 inference(scs_inference,[],[91,80,190,81,79,99,100,97,98,78,102,83,183,186,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120])).
% 0.58/0.72 cnf(210,plain,
% 0.58/0.72 (P13(f9(f27(f30(a8,a13,a14),a15)))),
% 0.58/0.72 inference(scs_inference,[],[91,80,190,81,79,99,100,97,98,94,78,102,83,183,186,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120,119,105,104])).
% 0.58/0.72 cnf(212,plain,
% 0.58/0.72 (P3(f9(f27(f30(a8,a13,a14),a15)))),
% 0.58/0.72 inference(scs_inference,[],[91,80,190,81,79,99,100,97,98,94,78,102,83,183,186,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120,119,105,104,103])).
% 0.58/0.72 cnf(218,plain,
% 0.58/0.72 (E(f21(f5(a1,x2181),x2182),f21(a1,x2182))),
% 0.58/0.72 inference(scs_inference,[],[91,80,190,81,79,99,100,97,98,94,78,102,83,183,186,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120,119,105,104,103,45,44,43,42,41])).
% 0.58/0.72 cnf(256,plain,
% 0.58/0.72 (P9(f5(a1,x2561),f27(f16(f5(a1,x2561)),f7(f5(a1,x2561))))),
% 0.58/0.73 inference(scs_inference,[],[91,80,190,81,79,99,100,97,98,94,78,102,83,183,186,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120,119,105,104,103,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,139])).
% 0.58/0.73 cnf(262,plain,
% 0.58/0.73 (~P19(f22(f6(a4,x2621),x2621),f11(a4,x2622))),
% 0.58/0.73 inference(scs_inference,[],[91,80,190,81,79,99,100,97,98,94,78,102,83,183,186,193,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120,119,105,104,103,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,139,152,149,74])).
% 0.58/0.73 cnf(263,plain,
% 0.58/0.73 (~P5(f16(f30(x2631,a1,x2632)),x2633)),
% 0.58/0.73 inference(scs_inference,[],[91,80,190,81,79,99,100,97,98,94,78,102,83,183,186,193,92,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120,119,105,104,103,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,139,152,149,74,72])).
% 0.58/0.73 cnf(264,plain,
% 0.58/0.73 (~P15(f22(f6(a4,x2641),x2641),f11(a4,x2642))),
% 0.58/0.73 inference(scs_inference,[],[91,80,190,81,79,99,100,97,98,94,78,102,83,183,186,193,92,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120,119,105,104,103,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,139,152,149,74,72,70])).
% 0.58/0.73 cnf(278,plain,
% 0.58/0.73 (P12(f24(x2781,f23(f5(a1,x2782),f5(a1,x2782))),a1,f5(a1,x2782))),
% 0.58/0.73 inference(scs_inference,[],[91,80,190,81,101,79,99,180,100,97,98,94,78,90,102,83,183,186,193,92,86,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120,119,105,104,103,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,139,152,149,74,72,70,66,65,64,62,58,57,48,146,163,75,71,68])).
% 0.58/0.73 cnf(279,plain,
% 0.58/0.73 (P12(f24(x2791,f23(f5(a1,x2792),f5(a1,x2792))),f5(a1,x2792),a1)),
% 0.58/0.73 inference(scs_inference,[],[91,80,190,81,101,79,99,180,100,97,98,94,78,90,102,83,183,186,193,92,86,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120,119,105,104,103,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,139,152,149,74,72,70,66,65,64,62,58,57,48,146,163,75,71,68,67])).
% 0.58/0.73 cnf(280,plain,
% 0.58/0.73 (P4(f6(x2801,f5(a1,x2802)),f5(a1,x2802))),
% 0.58/0.73 inference(scs_inference,[],[91,80,190,81,101,79,99,180,100,97,98,94,78,90,102,83,183,186,193,92,86,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120,119,105,104,103,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,139,152,149,74,72,70,66,65,64,62,58,57,48,146,163,75,71,68,67,63])).
% 0.58/0.73 cnf(281,plain,
% 0.58/0.73 (P6(f24(x2811,f23(f5(a1,x2812),x2813)),f5(a1,x2812))),
% 0.58/0.73 inference(scs_inference,[],[91,80,190,81,101,79,99,180,100,97,98,94,78,90,102,83,183,186,193,92,86,2,122,114,113,112,137,125,69,53,52,51,50,47,46,3,153,140,134,133,121,120,119,105,104,103,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,139,152,149,74,72,70,66,65,64,62,58,57,48,146,163,75,71,68,67,63,59])).
% 0.58/0.73 cnf(296,plain,
% 0.58/0.73 (~E(f17(f27(f30(a8,a13,a14),a15)),f22(f17(f30(a8,a13,a14)),a15))),
% 0.58/0.73 inference(scs_inference,[],[204,166])).
% 0.58/0.73 cnf(314,plain,
% 0.58/0.73 (~P17(x3141,x3141)),
% 0.58/0.73 inference(rename_variables,[],[168])).
% 0.58/0.73 cnf(326,plain,
% 0.58/0.73 (E(f26(f24(x3261,f23(x3262,x3263)),x3262),x3263)),
% 0.58/0.73 inference(rename_variables,[],[87])).
% 0.58/0.73 cnf(327,plain,
% 0.58/0.73 (P4(f17(f30(a8,a13,a14)),a15)),
% 0.58/0.73 inference(scs_inference,[],[82,88,89,87,79,97,102,90,99,81,78,168,314,281,210,212,280,278,279,196,204,167,117,154,147,143,135,118,73,163,69,65,64,52,49,146,68,67,62,59,3,112])).
% 0.58/0.73 cnf(330,plain,
% 0.58/0.73 (E(f26(f24(x3301,f23(x3302,x3303)),x3302),x3303)),
% 0.58/0.73 inference(rename_variables,[],[87])).
% 0.58/0.73 cnf(333,plain,
% 0.58/0.73 (E(f26(f24(x3331,f23(x3332,x3333)),x3332),x3333)),
% 0.58/0.73 inference(rename_variables,[],[87])).
% 0.58/0.73 cnf(334,plain,
% 0.58/0.73 (~P15(f17(f30(x3341,a1,x3342)),x3343)),
% 0.58/0.73 inference(scs_inference,[],[82,88,89,87,326,330,79,97,102,90,101,99,81,78,168,314,263,281,210,212,280,278,279,170,172,196,204,167,117,154,147,143,135,118,73,163,69,65,64,52,49,146,68,67,62,59,3,112,66,74,72,70])).
% 0.58/0.73 cnf(338,plain,
% 0.58/0.73 (E(f26(f24(x3381,f23(x3382,x3383)),x3382),x3383)),
% 0.58/0.73 inference(rename_variables,[],[87])).
% 0.58/0.73 cnf(347,plain,
% 0.58/0.73 (~P12(a1,x3471,x3472)),
% 0.58/0.73 inference(rename_variables,[],[101])).
% 0.58/0.73 cnf(374,plain,
% 0.58/0.73 (~E(f9(f27(f30(a8,a13,a14),a15)),f30(x3741,f24(x3742,f23(x3743,a2)),x3744))+E(f17(f27(f30(a8,a13,a14),a15)),f22(f17(f30(a8,a13,a14)),a15))),
% 0.58/0.73 inference(scs_inference,[],[91,82,85,88,89,87,326,330,333,338,79,97,98,102,90,101,347,80,100,99,81,78,168,314,263,281,210,212,280,256,200,218,262,264,278,279,170,172,174,196,204,202,167,117,154,147,143,135,118,73,163,69,65,64,52,49,146,68,67,62,59,3,112,66,74,72,70,53,63,58,48,2,162,108,54,157,156,148,138,164,120,55,51,71,46,50,75,9,144,165])).
% 0.58/0.73 cnf(402,plain,
% 0.58/0.73 ($false),
% 0.58/0.73 inference(scs_inference,[],[87,334,327,296,374,107,77,165]),
% 0.58/0.73 ['proof']).
% 0.58/0.73 % SZS output end Proof
% 0.58/0.73 % Total time :0.170000s
%------------------------------------------------------------------------------