TSTP Solution File: SWV381+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV381+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n016.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 21:33:22 EDT 2023
% Result : Theorem 0.54s 0.93s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV381+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.36 % Computer : n016.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 29 04:11:45 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.54/0.59 start to proof:theBenchmark
% 0.54/0.92 %-------------------------------------------
% 0.54/0.92 % File :CSE---1.6
% 0.54/0.92 % Problem :theBenchmark
% 0.54/0.92 % Transform :cnf
% 0.54/0.92 % Format :tptp:raw
% 0.54/0.92 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.92
% 0.54/0.92 % Result :Theorem 0.250000s
% 0.54/0.92 % Output :CNFRefutation 0.250000s
% 0.54/0.92 %-------------------------------------------
% 0.54/0.92 %------------------------------------------------------------------------------
% 0.54/0.92 % File : SWV381+1 : TPTP v8.1.2. Released v3.3.0.
% 0.54/0.92 % Domain : Software Verification
% 0.54/0.92 % Problem : Priority queue checker: lemma_min_elem_smallest
% 0.54/0.92 % Version : [dNP05] axioms.
% 0.54/0.92 % English :
% 0.54/0.92
% 0.54/0.92 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.54/0.92 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.54/0.92 % Source : [Pis06]
% 0.54/0.92 % Names : cpq_l017 [Pis06]
% 0.54/0.92
% 0.54/0.92 % Status : Theorem
% 0.54/0.92 % Rating : 0.33 v8.1.0, 0.25 v7.4.0, 0.30 v7.3.0, 0.28 v7.2.0, 0.24 v7.1.0, 0.26 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.30 v6.0.0, 0.26 v5.5.0, 0.37 v5.4.0, 0.46 v5.3.0, 0.52 v5.2.0, 0.35 v5.1.0, 0.33 v5.0.0, 0.42 v4.1.0, 0.48 v4.0.0, 0.50 v3.5.0, 0.58 v3.3.0
% 0.54/0.92 % Syntax : Number of formulae : 65 ( 23 unt; 0 def)
% 0.54/0.92 % Number of atoms : 135 ( 40 equ)
% 0.54/0.92 % Maximal formula atoms : 4 ( 2 avg)
% 0.54/0.92 % Number of connectives : 87 ( 17 ~; 4 |; 22 &)
% 0.54/0.92 % ( 17 <=>; 27 =>; 0 <=; 0 <~>)
% 0.54/0.92 % Maximal formula depth : 9 ( 5 avg)
% 0.54/0.92 % Maximal term depth : 5 ( 1 avg)
% 0.54/0.92 % Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% 0.54/0.92 % Number of functors : 26 ( 26 usr; 4 con; 0-3 aty)
% 0.54/0.92 % Number of variables : 174 ( 170 !; 4 ?)
% 0.54/0.93 % SPC : FOF_THM_RFO_SEQ
% 0.54/0.93
% 0.54/0.93 % Comments :
% 0.54/0.93 %------------------------------------------------------------------------------
% 0.54/0.93 %----Include the axioms about priority queues and checked priority queues
% 0.54/0.93 include('Axioms/SWV007+0.ax').
% 0.54/0.93 include('Axioms/SWV007+1.ax').
% 0.54/0.93 include('Axioms/SWV007+2.ax').
% 0.54/0.93 include('Axioms/SWV007+3.ax').
% 0.54/0.93 include('Axioms/SWV007+4.ax').
% 0.54/0.93 %------------------------------------------------------------------------------
% 0.54/0.93 %----lemma_contains_s_I (cpq_l005.p, cpq_l006.p)
% 0.54/0.93 fof(l17_li56,lemma,
% 0.54/0.93 ! [U,V,W,X] :
% 0.54/0.93 ( contains_cpq(triple(U,V,W),X)
% 0.54/0.93 <=> contains_pq(i(triple(U,V,W)),X) ) ).
% 0.54/0.93
% 0.54/0.93 %----lemma_not_min_elem_not_phi (cpq_l018.p)
% 0.54/0.93 fof(l17_l18,lemma,
% 0.54/0.93 ! [U,V,W] :
% 0.54/0.93 ( ? [X] :
% 0.54/0.93 ( contains_cpq(triple(U,V,W),X)
% 0.54/0.93 & strictly_less_than(X,findmin_cpq_res(triple(U,V,W))) )
% 0.54/0.93 => ~ phi(findmin_cpq_eff(triple(U,V,W))) ) ).
% 0.54/0.93
% 0.54/0.93 %----lemma_min_elem_smallest (conjecture)
% 0.54/0.93 fof(l17_co,conjecture,
% 0.54/0.93 ! [U,V,W] :
% 0.54/0.93 ( phi(findmin_cpq_eff(triple(U,V,W)))
% 0.54/0.93 => issmallestelement_pq(i(triple(U,V,W)),findmin_cpq_res(triple(U,V,W))) ) ).
% 0.54/0.93
% 0.54/0.93 %------------------------------------------------------------------------------
% 0.54/0.93 %-------------------------------------------
% 0.54/0.93 % Proof found
% 0.54/0.93 % SZS status Theorem for theBenchmark
% 0.54/0.93 % SZS output start Proof
% 0.54/0.93 %ClaNum:166(EqnAxiom:77)
% 0.54/0.93 %VarNum:490(SingletonVarNum:232)
% 0.54/0.93 %MaxLitNum:4
% 0.54/0.93 %MaxfuncDepth:4
% 0.54/0.93 %SharedTerms:15
% 0.54/0.93 %goalClause: 92 101
% 0.54/0.93 %singleGoalClaCount:2
% 0.54/0.93 [95]~P2(a4)
% 0.54/0.93 [96]~P7(a1)
% 0.54/0.93 [92]P10(f8(f29(a9,a14,a15)))
% 0.54/0.93 [101]~P8(f16(f29(a9,a14,a15)),f7(f29(a9,a14,a15)))
% 0.54/0.93 [79]P1(a2,x791)
% 0.54/0.93 [80]P1(x801,x801)
% 0.54/0.93 [81]P9(x811,x811)
% 0.54/0.93 [97]~P4(a4,x971)
% 0.54/0.93 [98]~P6(a1,x981)
% 0.54/0.93 [78]E(f5(a1,x781),a1)
% 0.54/0.93 [99]~P11(a1,x991,x992)
% 0.54/0.93 [82]P2(f6(x821,x822))
% 0.54/0.93 [90]P3(f29(x901,a1,x902))
% 0.54/0.93 [100]~P12(f29(x1001,x1002,a3))
% 0.54/0.93 [83]E(f21(f6(x831,x832),x832),x831)
% 0.54/0.93 [88]E(f7(f29(x881,a1,x882)),a2)
% 0.54/0.93 [89]E(f16(f29(x891,a1,x892)),a4)
% 0.54/0.93 [91]E(f8(f29(x911,a1,x912)),f29(x911,a1,a3))
% 0.54/0.93 [84]E(f6(f6(x841,x842),x843),f6(f6(x841,x843),x842))
% 0.54/0.93 [85]P7(f23(x851,f22(x852,x853)))
% 0.54/0.93 [86]E(f27(f23(x861,f22(x862,x863)),x862),x861)
% 0.54/0.93 [87]E(f25(f23(x871,f22(x872,x873)),x872),x873)
% 0.54/0.93 [93]E(f29(f24(x931,x932),f23(x933,f22(x932,a2)),x934),f20(f29(x931,x933,x934),x932))
% 0.54/0.93 [94]E(f16(f29(x941,f23(x942,f22(x943,x944)),x945)),f6(f16(f29(x941,x942,x945)),x943))
% 0.54/0.93 [102]~P10(x1021)+P3(f10(x1021))
% 0.54/0.93 [103]~P10(x1031)+P12(f10(x1031))
% 0.54/0.93 [104]~P10(x1041)+P9(x1041,f10(x1041))
% 0.54/0.93 [106]~P14(x1061)+P13(f16(x1061),f11(x1061))
% 0.54/0.93 [107]~P15(x1071)+P13(f16(x1071),f13(x1071))
% 0.54/0.93 [105]P1(x1052,x1051)+P1(x1051,x1052)
% 0.54/0.93 [110]~P17(x1101,x1102)+P1(x1101,x1102)
% 0.54/0.93 [111]~P18(x1111,x1112)+P4(x1111,x1112)
% 0.54/0.93 [112]~P13(x1121,x1122)+P4(x1121,x1122)
% 0.54/0.93 [113]~P19(x1131,x1132)+P4(x1131,x1132)
% 0.54/0.93 [114]~P13(x1141,x1142)+P8(x1141,x1142)
% 0.54/0.93 [115]~P19(x1151,x1152)+P8(x1151,x1152)
% 0.54/0.93 [116]~P4(x1161,x1162)+P18(x1161,x1162)
% 0.54/0.93 [121]~P17(x1212,x1211)+~P1(x1211,x1212)
% 0.54/0.93 [108]P14(x1081)+~P13(f16(x1081),x1082)
% 0.54/0.93 [109]P15(x1091)+~P13(f16(x1091),x1092)
% 0.54/0.93 [118]~P9(x1181,x1182)+P9(x1181,f8(x1182))
% 0.54/0.93 [119]~P16(x1191,x1192)+P18(f16(x1191),x1192)
% 0.54/0.93 [122]P16(x1221,x1222)+~P18(f16(x1221),x1222)
% 0.54/0.93 [124]P8(x1241,x1242)+P4(x1241,f12(x1241,x1242))
% 0.54/0.93 [136]P8(x1361,x1362)+~P1(x1362,f12(x1361,x1362))
% 0.54/0.93 [138]~P9(x1381,x1382)+P9(x1381,f26(f8(x1382),f7(x1382)))
% 0.54/0.93 [120]~E(x1202,x1203)+P4(f6(x1201,x1202),x1203)
% 0.54/0.93 [132]~P9(x1321,x1322)+P9(x1321,f20(x1322,x1323))
% 0.54/0.93 [133]~P9(x1331,x1332)+P9(x1331,f26(x1332,x1333))
% 0.54/0.93 [134]~P4(x1341,x1343)+P4(f6(x1341,x1342),x1343)
% 0.54/0.93 [141]E(x1411,a3)+P12(f29(x1412,x1413,x1411))
% 0.54/0.93 [143]E(x1431,a1)+E(f7(f29(x1432,x1431,x1433)),f19(x1432))
% 0.54/0.93 [146]~P6(x1462,x1464)+P5(f29(x1461,x1462,x1463),x1464)
% 0.54/0.93 [152]P6(x1521,x1522)+~P5(f29(x1523,x1521,x1524),x1522)
% 0.54/0.93 [139]~E(x1392,x1394)+P6(f23(x1391,f22(x1392,x1393)),x1394)
% 0.54/0.93 [142]~P6(x1421,x1424)+P6(f23(x1421,f22(x1422,x1423)),x1424)
% 0.54/0.93 [151]P6(x1512,x1514)+E(f26(f29(x1511,x1512,x1513),x1514),f29(x1511,x1512,a3))
% 0.54/0.93 [161]~P5(f29(x1611,x1612,x1613),x1614)+P4(f16(f29(x1611,x1612,x1613)),x1614)
% 0.54/0.93 [164]P5(f29(x1641,x1642,x1643),x1644)+~P4(f16(f29(x1641,x1642,x1643)),x1644)
% 0.54/0.93 [148]~P1(x1482,x1484)+E(f23(f5(x1481,x1482),f22(x1483,x1484)),f5(f23(x1481,f22(x1483,x1484)),x1482))
% 0.54/0.93 [149]~P17(x1493,x1494)+E(f5(f23(x1491,f22(x1492,x1493)),x1494),f23(f5(x1491,x1494),f22(x1492,x1494)))
% 0.54/0.93 [153]~P11(x1531,x1534,x1535)+P11(f23(x1531,f22(x1532,x1533)),x1534,x1535)
% 0.54/0.93 [162]~P17(x1621,x1622)+~P3(f29(x1623,f23(x1624,f22(x1621,x1622)),x1625))
% 0.54/0.93 [123]P17(x1232,x1231)+~P1(x1232,x1231)+P1(x1231,x1232)
% 0.54/0.93 [127]~P4(x1271,x1272)+~P8(x1271,x1272)+P13(x1271,x1272)
% 0.54/0.93 [128]~P4(x1281,x1282)+~P8(x1281,x1282)+P19(x1281,x1282)
% 0.54/0.93 [129]~P4(x1291,x1292)+~P8(x1291,x1292)+E(f17(x1291,x1292),x1291)
% 0.54/0.93 [130]~P4(x1301,x1302)+~P8(x1301,x1302)+E(f18(x1301,x1302),x1302)
% 0.54/0.93 [131]~P4(x1311,x1312)+~P8(x1311,x1312)+E(f30(x1311,x1312),x1312)
% 0.54/0.93 [135]~P4(x1351,x1352)+~P8(x1351,x1352)+E(f31(x1351,x1352),f21(x1351,x1352))
% 0.54/0.93 [125]~P8(x1253,x1251)+P1(x1251,x1252)+~P4(x1253,x1252)
% 0.54/0.93 [126]~P1(x1261,x1263)+P1(x1261,x1262)+~P1(x1263,x1262)
% 0.54/0.93 [137]E(x1371,x1372)+P4(x1373,x1372)+~P4(f6(x1373,x1371),x1372)
% 0.54/0.93 [140]~P4(x1403,x1401)+E(x1401,x1402)+E(f21(f6(x1403,x1402),x1401),f6(f21(x1403,x1401),x1402))
% 0.54/0.93 [154]P6(x1541,f19(x1542))+E(x1541,a1)+E(f8(f29(x1542,x1541,x1543)),f29(x1542,f5(x1541,f19(x1542)),a3))
% 0.54/0.93 [147]E(x1471,x1472)+P6(x1473,x1472)+~P6(f23(x1473,f22(x1471,x1474)),x1472)
% 0.54/0.93 [157]~P6(x1572,x1574)+~P17(x1574,f25(x1572,x1574))+E(f26(f29(x1571,x1572,x1573),x1574),f29(f28(x1571,x1574),f27(x1572,x1574),a3))
% 0.54/0.93 [158]~P6(x1583,x1582)+~P1(f25(x1583,x1582),x1582)+E(f29(f28(x1581,x1582),f27(x1583,x1582),x1584),f26(f29(x1581,x1583,x1584),x1582))
% 0.54/0.93 [166]~P5(f29(x1661,x1662,x1663),x1664)+~P17(x1664,f7(f29(x1661,x1662,x1663)))+~P10(f8(f29(x1661,x1662,x1663)))
% 0.54/0.93 [144]~P6(x1443,x1442)+E(x1441,x1442)+E(f25(f23(x1443,f22(x1441,x1444)),x1442),f25(x1443,x1442))
% 0.54/0.93 [150]~P6(x1503,x1502)+E(x1501,x1502)+E(f27(f23(x1503,f22(x1501,x1504)),x1502),f23(f27(x1503,x1502),f22(x1501,x1504)))
% 0.54/0.93 [145]~E(x1453,x1455)+~E(x1452,x1454)+P11(f23(x1451,f22(x1452,x1453)),x1454,x1455)
% 0.54/0.93 [155]E(x1551,x1552)+P11(x1553,x1554,x1552)+~P11(f23(x1553,f22(x1555,x1551)),x1554,x1552)
% 0.54/0.93 [156]E(x1561,x1562)+P11(x1563,x1562,x1564)+~P11(f23(x1563,f22(x1561,x1565)),x1562,x1564)
% 0.54/0.93 [163]~P1(x1634,x1633)+~P3(f29(x1631,x1632,x1635))+P3(f29(x1631,f23(x1632,f22(x1633,x1634)),x1635))
% 0.54/0.93 [165]~P1(x1654,x1655)+P3(f29(x1651,x1652,x1653))+~P3(f29(x1651,f23(x1652,f22(x1655,x1654)),x1653))
% 0.54/0.93 [117]~P12(x1172)+~P9(x1171,x1172)+P10(x1171)+~P3(x1172)
% 0.54/0.93 [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))
% 0.54/0.93 [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)))
% 0.54/0.93 %EqnAxiom
% 0.54/0.93 [1]E(x11,x11)
% 0.54/0.93 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.93 [4]~E(x41,x42)+E(f5(x41,x43),f5(x42,x43))
% 0.54/0.93 [5]~E(x51,x52)+E(f5(x53,x51),f5(x53,x52))
% 0.54/0.93 [6]~E(x61,x62)+E(f6(x61,x63),f6(x62,x63))
% 0.54/0.93 [7]~E(x71,x72)+E(f6(x73,x71),f6(x73,x72))
% 0.54/0.93 [8]~E(x81,x82)+E(f22(x81,x83),f22(x82,x83))
% 0.54/0.93 [9]~E(x91,x92)+E(f22(x93,x91),f22(x93,x92))
% 0.54/0.93 [10]~E(x101,x102)+E(f21(x101,x103),f21(x102,x103))
% 0.54/0.93 [11]~E(x111,x112)+E(f21(x113,x111),f21(x113,x112))
% 0.54/0.93 [12]~E(x121,x122)+E(f29(x121,x123,x124),f29(x122,x123,x124))
% 0.54/0.93 [13]~E(x131,x132)+E(f29(x133,x131,x134),f29(x133,x132,x134))
% 0.54/0.93 [14]~E(x141,x142)+E(f29(x143,x144,x141),f29(x143,x144,x142))
% 0.54/0.93 [15]~E(x151,x152)+E(f16(x151),f16(x152))
% 0.54/0.93 [16]~E(x161,x162)+E(f27(x161,x163),f27(x162,x163))
% 0.54/0.93 [17]~E(x171,x172)+E(f27(x173,x171),f27(x173,x172))
% 0.54/0.93 [18]~E(x181,x182)+E(f28(x181,x183),f28(x182,x183))
% 0.54/0.93 [19]~E(x191,x192)+E(f28(x193,x191),f28(x193,x192))
% 0.54/0.93 [20]~E(x201,x202)+E(f25(x201,x203),f25(x202,x203))
% 0.54/0.93 [21]~E(x211,x212)+E(f25(x213,x211),f25(x213,x212))
% 0.54/0.93 [22]~E(x221,x222)+E(f23(x221,x223),f23(x222,x223))
% 0.54/0.93 [23]~E(x231,x232)+E(f23(x233,x231),f23(x233,x232))
% 0.54/0.93 [24]~E(x241,x242)+E(f19(x241),f19(x242))
% 0.54/0.93 [25]~E(x251,x252)+E(f26(x251,x253),f26(x252,x253))
% 0.54/0.93 [26]~E(x261,x262)+E(f26(x263,x261),f26(x263,x262))
% 0.54/0.93 [27]~E(x271,x272)+E(f7(x271),f7(x272))
% 0.54/0.93 [28]~E(x281,x282)+E(f8(x281),f8(x282))
% 0.54/0.93 [29]~E(x291,x292)+E(f20(x291,x293),f20(x292,x293))
% 0.54/0.93 [30]~E(x301,x302)+E(f20(x303,x301),f20(x303,x302))
% 0.54/0.93 [31]~E(x311,x312)+E(f10(x311),f10(x312))
% 0.54/0.93 [32]~E(x321,x322)+E(f11(x321),f11(x322))
% 0.54/0.93 [33]~E(x331,x332)+E(f18(x331,x333),f18(x332,x333))
% 0.54/0.93 [34]~E(x341,x342)+E(f18(x343,x341),f18(x343,x342))
% 0.54/0.93 [35]~E(x351,x352)+E(f30(x351,x353),f30(x352,x353))
% 0.54/0.93 [36]~E(x361,x362)+E(f30(x363,x361),f30(x363,x362))
% 0.54/0.93 [37]~E(x371,x372)+E(f12(x371,x373),f12(x372,x373))
% 0.54/0.93 [38]~E(x381,x382)+E(f12(x383,x381),f12(x383,x382))
% 0.54/0.93 [39]~E(x391,x392)+E(f13(x391),f13(x392))
% 0.54/0.93 [40]~E(x401,x402)+E(f24(x401,x403),f24(x402,x403))
% 0.54/0.93 [41]~E(x411,x412)+E(f24(x413,x411),f24(x413,x412))
% 0.54/0.93 [42]~E(x421,x422)+E(f17(x421,x423),f17(x422,x423))
% 0.54/0.93 [43]~E(x431,x432)+E(f17(x433,x431),f17(x433,x432))
% 0.54/0.93 [44]~E(x441,x442)+E(f31(x441,x443),f31(x442,x443))
% 0.54/0.93 [45]~E(x451,x452)+E(f31(x453,x451),f31(x453,x452))
% 0.54/0.93 [46]P1(x462,x463)+~E(x461,x462)+~P1(x461,x463)
% 0.54/0.93 [47]P1(x473,x472)+~E(x471,x472)+~P1(x473,x471)
% 0.54/0.93 [48]P17(x482,x483)+~E(x481,x482)+~P17(x481,x483)
% 0.54/0.93 [49]P17(x493,x492)+~E(x491,x492)+~P17(x493,x491)
% 0.54/0.93 [50]P9(x502,x503)+~E(x501,x502)+~P9(x501,x503)
% 0.54/0.93 [51]P9(x513,x512)+~E(x511,x512)+~P9(x513,x511)
% 0.54/0.93 [52]~P2(x521)+P2(x522)+~E(x521,x522)
% 0.54/0.93 [53]~P7(x531)+P7(x532)+~E(x531,x532)
% 0.54/0.93 [54]~P3(x541)+P3(x542)+~E(x541,x542)
% 0.54/0.93 [55]~P10(x551)+P10(x552)+~E(x551,x552)
% 0.54/0.93 [56]P11(x562,x563,x564)+~E(x561,x562)+~P11(x561,x563,x564)
% 0.54/0.93 [57]P11(x573,x572,x574)+~E(x571,x572)+~P11(x573,x571,x574)
% 0.54/0.93 [58]P11(x583,x584,x582)+~E(x581,x582)+~P11(x583,x584,x581)
% 0.54/0.93 [59]P4(x592,x593)+~E(x591,x592)+~P4(x591,x593)
% 0.54/0.93 [60]P4(x603,x602)+~E(x601,x602)+~P4(x603,x601)
% 0.54/0.93 [61]P6(x612,x613)+~E(x611,x612)+~P6(x611,x613)
% 0.54/0.93 [62]P6(x623,x622)+~E(x621,x622)+~P6(x623,x621)
% 0.54/0.93 [63]P8(x632,x633)+~E(x631,x632)+~P8(x631,x633)
% 0.54/0.93 [64]P8(x643,x642)+~E(x641,x642)+~P8(x643,x641)
% 0.54/0.93 [65]P18(x652,x653)+~E(x651,x652)+~P18(x651,x653)
% 0.54/0.93 [66]P18(x663,x662)+~E(x661,x662)+~P18(x663,x661)
% 0.54/0.93 [67]~P12(x671)+P12(x672)+~E(x671,x672)
% 0.54/0.93 [68]P16(x682,x683)+~E(x681,x682)+~P16(x681,x683)
% 0.54/0.93 [69]P16(x693,x692)+~E(x691,x692)+~P16(x693,x691)
% 0.54/0.93 [70]P5(x702,x703)+~E(x701,x702)+~P5(x701,x703)
% 0.54/0.93 [71]P5(x713,x712)+~E(x711,x712)+~P5(x713,x711)
% 0.54/0.94 [72]P19(x722,x723)+~E(x721,x722)+~P19(x721,x723)
% 0.54/0.94 [73]P19(x733,x732)+~E(x731,x732)+~P19(x733,x731)
% 0.54/0.94 [74]~P15(x741)+P15(x742)+~E(x741,x742)
% 0.54/0.94 [75]P13(x752,x753)+~E(x751,x752)+~P13(x751,x753)
% 0.54/0.94 [76]P13(x763,x762)+~E(x761,x762)+~P13(x763,x761)
% 0.54/0.94 [77]~P14(x771)+P14(x772)+~E(x771,x772)
% 0.54/0.94
% 0.54/0.94 %-------------------------------------------
% 0.54/0.94 cnf(167,plain,
% 0.54/0.94 (E(a1,f5(a1,x1671))),
% 0.54/0.94 inference(scs_inference,[],[78,2])).
% 0.54/0.94 cnf(168,plain,
% 0.54/0.94 (~P17(x1681,x1681)),
% 0.54/0.94 inference(scs_inference,[],[80,78,2,121])).
% 0.54/0.94 cnf(174,plain,
% 0.54/0.94 (~P19(a4,x1741)),
% 0.54/0.94 inference(scs_inference,[],[80,97,101,78,2,121,115,114,113])).
% 0.54/0.94 cnf(176,plain,
% 0.54/0.94 (~P13(a4,x1761)),
% 0.54/0.94 inference(scs_inference,[],[80,97,101,78,2,121,115,114,113,112])).
% 0.54/0.94 cnf(184,plain,
% 0.54/0.94 (~P4(a4,x1841)),
% 0.54/0.94 inference(rename_variables,[],[97])).
% 0.54/0.94 cnf(187,plain,
% 0.54/0.94 (E(f21(f6(x1871,x1872),x1872),x1871)),
% 0.54/0.94 inference(rename_variables,[],[83])).
% 0.54/0.94 cnf(188,plain,
% 0.54/0.94 (~E(a2,f7(f29(a9,a14,a15)))),
% 0.54/0.94 inference(scs_inference,[],[80,79,97,101,78,100,83,2,121,115,114,113,112,111,136,124,67,64])).
% 0.54/0.94 cnf(192,plain,
% 0.54/0.94 (E(f21(f6(x1921,x1922),x1922),x1921)),
% 0.54/0.94 inference(rename_variables,[],[83])).
% 0.54/0.94 cnf(198,plain,
% 0.54/0.94 (E(f21(f6(x1981,x1982),x1982),x1981)),
% 0.54/0.94 inference(rename_variables,[],[83])).
% 0.54/0.94 cnf(201,plain,
% 0.54/0.94 (P6(f23(x2011,f22(f5(a1,x2012),x2013)),a1)),
% 0.54/0.94 inference(scs_inference,[],[80,81,79,97,98,95,96,101,78,100,83,187,192,2,121,115,114,113,112,111,136,124,67,64,63,53,52,51,50,47,46,3,152,139])).
% 0.54/0.94 cnf(207,plain,
% 0.54/0.94 (P4(f6(x2071,f5(a1,x2072)),a1)),
% 0.54/0.94 inference(scs_inference,[],[80,81,79,97,98,95,96,101,78,100,83,187,192,2,121,115,114,113,112,111,136,124,67,64,63,53,52,51,50,47,46,3,152,139,133,132,120])).
% 0.54/0.94 cnf(213,plain,
% 0.54/0.94 (P12(f10(f8(f29(a9,a14,a15))))),
% 0.54/0.94 inference(scs_inference,[],[92,80,81,79,97,98,95,96,101,78,100,83,187,192,2,121,115,114,113,112,111,136,124,67,64,63,53,52,51,50,47,46,3,152,139,133,132,120,118,104,103])).
% 0.54/0.94 cnf(215,plain,
% 0.54/0.94 (P3(f10(f8(f29(a9,a14,a15))))),
% 0.54/0.94 inference(scs_inference,[],[92,80,81,79,97,98,95,96,101,78,100,83,187,192,2,121,115,114,113,112,111,136,124,67,64,63,53,52,51,50,47,46,3,152,139,133,132,120,118,104,103,102])).
% 0.54/0.94 cnf(268,plain,
% 0.54/0.94 (~P13(f27(f23(f16(f29(a9,a14,a15)),f22(x2681,x2682)),x2681),f7(f29(a9,a14,a15)))),
% 0.54/0.94 inference(scs_inference,[],[92,80,81,79,97,98,95,96,101,78,100,83,187,192,198,86,2,121,115,114,113,112,111,136,124,67,64,63,53,52,51,50,47,46,3,152,139,133,132,120,118,104,103,102,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,151,148,164,76,75])).
% 0.54/0.94 cnf(270,plain,
% 0.54/0.94 (~P19(f27(f23(f16(f29(a9,a14,a15)),f22(x2701,x2702)),x2701),f7(f29(a9,a14,a15)))),
% 0.54/0.94 inference(scs_inference,[],[92,80,81,79,97,98,95,96,101,78,100,83,187,192,198,86,2,121,115,114,113,112,111,136,124,67,64,63,53,52,51,50,47,46,3,152,139,133,132,120,118,104,103,102,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,151,148,164,76,75,73,72])).
% 0.54/0.94 cnf(279,plain,
% 0.54/0.94 (~P11(f23(a1,f22(a2,x2791)),f7(f29(a9,a14,a15)),x2792)),
% 0.54/0.94 inference(scs_inference,[],[92,80,81,99,79,97,98,95,96,101,78,100,83,187,192,198,89,91,86,87,2,121,115,114,113,112,111,136,124,67,64,63,53,52,51,50,47,46,3,152,139,133,132,120,118,104,103,102,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,151,148,164,76,75,73,72,70,65,61,59,56,55,49,48,156])).
% 0.54/0.94 cnf(280,plain,
% 0.54/0.94 (~P11(a1,x2801,x2802)),
% 0.54/0.94 inference(rename_variables,[],[99])).
% 0.54/0.94 cnf(285,plain,
% 0.54/0.94 (~P6(f23(a1,f22(a2,x2851)),f7(f29(a9,a14,a15)))),
% 0.54/0.94 inference(scs_inference,[],[92,80,81,99,280,79,97,98,95,96,101,78,100,83,187,192,198,89,91,86,87,2,121,115,114,113,112,111,136,124,67,64,63,53,52,51,50,47,46,3,152,139,133,132,120,118,104,103,102,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,151,148,164,76,75,73,72,70,65,61,59,56,55,49,48,156,155,147])).
% 0.54/0.94 cnf(288,plain,
% 0.54/0.94 (P11(f23(x2881,f22(f5(a1,x2882),f5(a1,x2882))),a1,a1)),
% 0.54/0.94 inference(scs_inference,[],[92,80,81,99,280,79,97,98,95,96,101,78,100,83,187,192,198,89,91,86,87,2,121,115,114,113,112,111,136,124,67,64,63,53,52,51,50,47,46,3,152,139,133,132,120,118,104,103,102,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,151,148,164,76,75,73,72,70,65,61,59,56,55,49,48,156,155,147,145])).
% 0.54/0.94 cnf(290,plain,
% 0.54/0.94 (~P4(f6(a4,a2),f7(f29(a9,a14,a15)))),
% 0.54/0.94 inference(scs_inference,[],[92,80,81,99,280,79,97,184,98,95,96,101,78,100,83,187,192,198,89,91,86,87,2,121,115,114,113,112,111,136,124,67,64,63,53,52,51,50,47,46,3,152,139,133,132,120,118,104,103,102,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,138,151,148,164,76,75,73,72,70,65,61,59,56,55,49,48,156,155,147,145,137])).
% 0.54/0.94 cnf(336,plain,
% 0.54/0.94 (P5(f29(a9,a14,a15),f12(f16(f29(a9,a14,a15)),f7(f29(a9,a14,a15))))),
% 0.54/0.94 inference(scs_inference,[],[101,81,213,215,285,201,188,207,288,116,153,146,142,134,161,117,124,147,164])).
% 0.54/0.94 cnf(343,plain,
% 0.54/0.94 (~P13(f16(f29(x3431,a1,x3432)),x3433)),
% 0.54/0.94 inference(scs_inference,[],[89,101,81,213,215,285,176,201,188,207,288,116,153,146,142,134,161,117,124,147,164,2,152,136,75])).
% 0.54/0.94 cnf(345,plain,
% 0.54/0.94 (E(f21(f6(x3451,x3452),x3452),x3451)),
% 0.54/0.94 inference(rename_variables,[],[83])).
% 0.54/0.94 cnf(351,plain,
% 0.54/0.94 (E(f25(f23(x3511,f22(x3512,x3513)),x3512),x3513)),
% 0.54/0.94 inference(rename_variables,[],[87])).
% 0.54/0.94 cnf(353,plain,
% 0.54/0.94 (E(f25(f23(x3531,f22(x3532,x3533)),x3532),x3533)),
% 0.54/0.94 inference(rename_variables,[],[87])).
% 0.54/0.94 cnf(362,plain,
% 0.54/0.94 (E(f25(f23(x3621,f22(x3622,x3623)),x3622),x3623)),
% 0.54/0.94 inference(rename_variables,[],[87])).
% 0.54/0.94 cnf(363,plain,
% 0.54/0.94 (~P17(a2,f7(f29(x3631,a1,x3632)))),
% 0.54/0.94 inference(scs_inference,[],[82,85,88,84,93,95,96,83,345,89,87,351,353,99,97,98,101,81,168,270,213,215,285,290,176,201,188,207,167,288,116,153,146,142,134,161,117,124,147,164,2,152,136,75,73,70,66,64,61,56,53,52,137,71,65,59,49])).
% 0.54/0.94 cnf(364,plain,
% 0.54/0.94 (~P17(x3641,x3641)),
% 0.54/0.94 inference(rename_variables,[],[168])).
% 0.54/0.94 cnf(373,plain,
% 0.54/0.94 (E(f21(f6(x3731,x3732),x3732),x3731)),
% 0.54/0.94 inference(rename_variables,[],[83])).
% 0.54/0.94 cnf(391,plain,
% 0.54/0.94 (~P15(f29(x3911,a1,x3912))),
% 0.54/0.94 inference(scs_inference,[],[82,85,88,84,93,79,95,96,100,83,345,373,90,89,87,351,353,362,99,97,98,101,81,168,364,268,270,279,213,215,285,290,174,176,201,188,207,167,288,116,153,146,142,134,161,117,124,147,164,2,152,136,75,73,70,66,64,61,56,53,52,137,71,65,59,49,46,156,155,163,76,72,67,63,3,62,58,57,48,60,110,105,162,107])).
% 0.54/0.94 cnf(394,plain,
% 0.54/0.94 (P17(f12(f16(f29(a9,a14,a15)),f7(f29(a9,a14,a15))),f7(f29(a9,a14,a15)))),
% 0.54/0.94 inference(scs_inference,[],[82,85,88,84,93,79,95,96,100,83,345,373,90,89,87,351,353,362,99,97,98,101,81,168,364,268,270,279,213,215,285,290,174,176,201,188,207,167,288,116,153,146,142,134,161,117,124,147,164,2,152,136,75,73,70,66,64,61,56,53,52,137,71,65,59,49,46,156,155,163,76,72,67,63,3,62,58,57,48,60,110,105,162,107,54,123])).
% 0.54/0.94 cnf(424,plain,
% 0.54/0.94 (E(f21(f6(x4241,x4242),x4242),x4241)),
% 0.54/0.94 inference(rename_variables,[],[83])).
% 0.54/0.94 cnf(430,plain,
% 0.54/0.94 ($false),
% 0.54/0.94 inference(scs_inference,[],[83,424,79,394,336,343,391,363,92,106,77,123,74,166]),
% 0.54/0.94 ['proof']).
% 0.93/0.94 % SZS output end Proof
% 0.93/0.94 % Total time :0.250000s
%------------------------------------------------------------------------------