TSTP Solution File: SET810+4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET810+4 : TPTP v8.1.2. Released v3.2.0.
% 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 14:31:07 EDT 2023
% Result : Theorem 0.21s 0.69s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET810+4 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.18/0.34 % Computer : n016.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Sat Aug 26 11:44:42 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.21/0.53 start to proof:theBenchmark
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 % File :CSE---1.6
% 0.21/0.69 % Problem :theBenchmark
% 0.21/0.69 % Transform :cnf
% 0.21/0.69 % Format :tptp:raw
% 0.21/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.69
% 0.21/0.69 % Result :Theorem 0.100000s
% 0.21/0.69 % Output :CNFRefutation 0.100000s
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 %------------------------------------------------------------------------------
% 0.21/0.69 % File : SET810+4 : TPTP v8.1.2. Released v3.2.0.
% 0.21/0.69 % Domain : Set Theory (Order relations)
% 0.21/0.69 % Problem : Ordinal numbers do not contain each other
% 0.21/0.69 % Version : [Pas05] axioms.
% 0.21/0.69 % English : If a and b are ordinal numbers, it is not possible that a belongs
% 0.21/0.69 % to b and b belongs to a
% 0.21/0.69
% 0.21/0.69 % Refs : [Pas05] Pastre (2005), Email to G. Sutcliffe
% 0.21/0.69 % Source : [Pas05]
% 0.21/0.69 % Names :
% 0.21/0.69
% 0.21/0.69 % Status : Theorem
% 0.21/0.69 % Rating : 0.14 v8.1.0, 0.19 v7.4.0, 0.17 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.13 v6.4.0, 0.12 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.27 v6.0.0, 0.30 v5.4.0, 0.32 v5.3.0, 0.33 v5.2.0, 0.15 v5.1.0, 0.14 v5.0.0, 0.21 v4.1.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.25 v3.7.0, 0.30 v3.5.0, 0.32 v3.4.0, 0.26 v3.3.0, 0.07 v3.2.0
% 0.21/0.69 % Syntax : Number of formulae : 20 ( 1 unt; 0 def)
% 0.21/0.69 % Number of atoms : 69 ( 4 equ)
% 0.21/0.69 % Maximal formula atoms : 11 ( 3 avg)
% 0.21/0.69 % Number of connectives : 53 ( 4 ~; 3 |; 18 &)
% 0.21/0.69 % ( 17 <=>; 11 =>; 0 <=; 0 <~>)
% 0.21/0.69 % Maximal formula depth : 11 ( 6 avg)
% 0.21/0.69 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.69 % Number of predicates : 9 ( 8 usr; 0 prp; 1-3 aty)
% 0.21/0.69 % Number of functors : 13 ( 13 usr; 3 con; 0-3 aty)
% 0.21/0.69 % Number of variables : 58 ( 55 !; 3 ?)
% 0.21/0.69 % SPC : FOF_THM_RFO_SEQ
% 0.21/0.69
% 0.21/0.69 % Comments :
% 0.21/0.69 %------------------------------------------------------------------------------
% 0.21/0.69 %----Include set theory definitions
% 0.21/0.69 include('Axioms/SET006+0.ax').
% 0.21/0.69 %----Include ordinal numbers axioms
% 0.21/0.69 include('Axioms/SET006+4.ax').
% 0.21/0.69 %------------------------------------------------------------------------------
% 0.21/0.69 fof(thV3,conjecture,
% 0.21/0.69 ! [A,B] :
% 0.21/0.69 ( ( member(A,on)
% 0.21/0.69 & member(B,on) )
% 0.21/0.69 => ~ ( member(A,B)
% 0.21/0.69 & member(B,A) ) ) ).
% 0.21/0.69
% 0.21/0.69 %------------------------------------------------------------------------------
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 % Proof found
% 0.21/0.69 % SZS status Theorem for theBenchmark
% 0.21/0.69 % SZS output start Proof
% 0.21/0.69 %ClaNum:145(EqnAxiom:63)
% 0.21/0.69 %VarNum:560(SingletonVarNum:186)
% 0.21/0.69 %MaxLitNum:7
% 0.21/0.69 %MaxfuncDepth:2
% 0.21/0.69 %SharedTerms:9
% 0.21/0.70 %goalClause: 64 65 66 67
% 0.21/0.70 %singleGoalClaCount:4
% 0.21/0.70 [64]P1(a1,a8)
% 0.21/0.70 [65]P1(a1,a9)
% 0.21/0.70 [66]P1(a9,a8)
% 0.21/0.70 [67]P1(a9,a1)
% 0.21/0.70 [68]~P1(x681,a2)
% 0.21/0.70 [70]P5(x701)+~P1(x701,a8)
% 0.21/0.70 [71]~P1(x711,a8)+P6(a10,x711)
% 0.21/0.70 [74]~P2(x742,x741)+P8(x741,x742)
% 0.21/0.70 [75]~P2(x751,x752)+P8(x751,x752)
% 0.21/0.70 [76]~P6(x761,x762)+P7(x761,x762)
% 0.21/0.70 [95]~P1(x951,x952)+P3(a10,x951,x952)
% 0.21/0.70 [113]P1(x1131,x1132)+~P3(a10,x1131,x1132)
% 0.21/0.70 [69]~E(x691,x692)+P1(x691,f22(x692))
% 0.21/0.70 [73]E(x731,x732)+~P1(x731,f22(x732))
% 0.21/0.70 [77]~P8(x771,x772)+P1(x771,f23(x772))
% 0.21/0.70 [80]P8(x801,x802)+~P1(x801,f23(x802))
% 0.21/0.70 [81]P8(x811,x812)+P1(f11(x811,x812),x811)
% 0.21/0.70 [85]P1(f12(x851,x852),x852)+P1(x851,f24(x852))
% 0.21/0.70 [92]~P1(x921,f27(x922))+P1(x921,f13(x921,x922))
% 0.21/0.70 [93]~P1(x931,f27(x932))+P1(f13(x931,x932),x932)
% 0.21/0.70 [101]P8(x1011,x1012)+~P1(f11(x1011,x1012),x1012)
% 0.21/0.70 [102]~P1(x1021,f12(x1021,x1022))+P1(x1021,f24(x1022))
% 0.21/0.70 [103]~P1(x1031,f28(x1032))+P1(x1031,f26(x1032,f22(x1032)))
% 0.21/0.70 [115]P1(x1151,f28(x1152))+~P1(x1151,f26(x1152,f22(x1152)))
% 0.21/0.70 [114]P1(x1141,x1142)+~P4(x1141,x1143,x1142)
% 0.21/0.70 [78]~E(x781,x783)+P1(x781,f25(x782,x783))
% 0.21/0.70 [79]~E(x791,x792)+P1(x791,f25(x792,x793))
% 0.21/0.70 [87]~P1(x871,x873)+P1(x871,f26(x872,x873))
% 0.21/0.70 [88]~P1(x881,x882)+P1(x881,f26(x882,x883))
% 0.21/0.70 [98]P1(x981,x982)+~P1(x981,f17(x983,x982))
% 0.21/0.70 [99]P1(x991,x992)+~P1(x991,f17(x992,x993))
% 0.21/0.70 [100]P1(x1001,x1002)+~P1(x1001,f3(x1002,x1003))
% 0.21/0.70 [105]~P1(x1051,x1052)+~P1(x1051,f3(x1053,x1052))
% 0.21/0.70 [131]P1(x1311,x1312)+~P1(x1311,f21(x1313,x1314,x1312))
% 0.21/0.70 [141]P3(x1411,x1412,x1413)+~P1(x1412,f21(x1413,x1411,x1414))
% 0.21/0.70 [72]~P1(x721,x722)+P5(x721)+~P5(x722)
% 0.21/0.70 [82]~P1(x821,x822)+P8(x821,x822)+~P1(x822,a8)
% 0.21/0.70 [84]~P8(x842,x841)+~P8(x841,x842)+P2(x841,x842)
% 0.21/0.70 [97]~P7(x971,x972)+P6(x971,x972)+P8(f15(x971,x972),x972)
% 0.21/0.70 [107]P7(x1071,x1072)+P1(f18(x1071,x1072),x1072)+P1(f4(x1071,x1072),x1072)
% 0.21/0.70 [108]P7(x1081,x1082)+P1(f18(x1081,x1082),x1082)+P1(f6(x1081,x1082),x1082)
% 0.21/0.70 [109]P7(x1091,x1092)+P1(f18(x1091,x1092),x1092)+P1(f7(x1091,x1092),x1092)
% 0.21/0.70 [110]P7(x1101,x1102)+P1(f5(x1101,x1102),x1102)+P1(f4(x1101,x1102),x1102)
% 0.21/0.70 [111]P7(x1111,x1112)+P1(f5(x1111,x1112),x1112)+P1(f6(x1111,x1112),x1112)
% 0.21/0.70 [112]P7(x1121,x1122)+P1(f5(x1121,x1122),x1122)+P1(f7(x1121,x1122),x1122)
% 0.21/0.70 [116]~P7(x1161,x1162)+P6(x1161,x1162)+P1(f19(x1161,x1162),f15(x1161,x1162))
% 0.21/0.70 [117]P7(x1171,x1172)+P3(x1171,f4(x1171,x1172),f6(x1171,x1172))+P1(f18(x1171,x1172),x1172)
% 0.21/0.70 [118]P7(x1181,x1182)+P3(x1181,f6(x1181,x1182),f7(x1181,x1182))+P1(f18(x1181,x1182),x1182)
% 0.21/0.70 [119]P7(x1191,x1192)+P3(x1191,f4(x1191,x1192),f6(x1191,x1192))+P1(f5(x1191,x1192),x1192)
% 0.21/0.70 [120]P7(x1201,x1202)+P3(x1201,f6(x1201,x1202),f7(x1201,x1202))+P1(f5(x1201,x1202),x1202)
% 0.21/0.70 [121]P7(x1211,x1212)+P3(x1211,f18(x1211,x1212),f5(x1211,x1212))+P1(f4(x1211,x1212),x1212)
% 0.21/0.70 [122]P7(x1221,x1222)+P3(x1221,f5(x1221,x1222),f18(x1221,x1222))+P1(f4(x1221,x1222),x1222)
% 0.21/0.70 [123]P7(x1231,x1232)+P3(x1231,f18(x1231,x1232),f5(x1231,x1232))+P1(f6(x1231,x1232),x1232)
% 0.21/0.70 [124]P7(x1241,x1242)+P3(x1241,f5(x1241,x1242),f18(x1241,x1242))+P1(f6(x1241,x1242),x1242)
% 0.21/0.70 [125]P7(x1251,x1252)+P3(x1251,f18(x1251,x1252),f5(x1251,x1252))+P1(f7(x1251,x1252),x1252)
% 0.21/0.70 [126]P7(x1261,x1262)+P3(x1261,f5(x1261,x1262),f18(x1261,x1262))+P1(f7(x1261,x1262),x1262)
% 0.21/0.70 [132]P7(x1321,x1322)+~P3(x1321,f4(x1321,x1322),f7(x1321,x1322))+P1(f18(x1321,x1322),x1322)
% 0.21/0.70 [133]P7(x1331,x1332)+~P3(x1331,f4(x1331,x1332),f7(x1331,x1332))+P1(f5(x1331,x1332),x1332)
% 0.21/0.70 [134]P7(x1341,x1342)+P3(x1341,f18(x1341,x1342),f5(x1341,x1342))+P3(x1341,f4(x1341,x1342),f6(x1341,x1342))
% 0.21/0.70 [135]P7(x1351,x1352)+P3(x1351,f18(x1351,x1352),f5(x1351,x1352))+P3(x1351,f6(x1351,x1352),f7(x1351,x1352))
% 0.21/0.70 [136]P7(x1361,x1362)+P3(x1361,f5(x1361,x1362),f18(x1361,x1362))+P3(x1361,f4(x1361,x1362),f6(x1361,x1362))
% 0.21/0.70 [137]P7(x1371,x1372)+P3(x1371,f5(x1371,x1372),f18(x1371,x1372))+P3(x1371,f6(x1371,x1372),f7(x1371,x1372))
% 0.21/0.70 [142]P7(x1421,x1422)+P3(x1421,f18(x1421,x1422),f5(x1421,x1422))+~P3(x1421,f4(x1421,x1422),f7(x1421,x1422))
% 0.21/0.70 [143]P7(x1431,x1432)+P3(x1431,f5(x1431,x1432),f18(x1431,x1432))+~P3(x1431,f4(x1431,x1432),f7(x1431,x1432))
% 0.21/0.70 [83]~P1(x831,x833)+P1(x831,x832)+~P8(x833,x832)
% 0.21/0.70 [89]~P1(x893,x892)+~P1(x891,x893)+P1(x891,f27(x892))
% 0.21/0.70 [90]E(x901,x902)+E(x901,x903)+~P1(x901,f25(x903,x902))
% 0.21/0.70 [91]P1(x911,x912)+~P1(x912,x913)+~P1(x911,f24(x913))
% 0.21/0.70 [96]~P1(x961,x963)+P1(x961,x962)+P1(x961,f3(x963,x962))
% 0.21/0.70 [104]~P1(x1041,x1043)+~P1(x1041,x1042)+P1(x1041,f17(x1042,x1043))
% 0.21/0.70 [106]P1(x1061,x1062)+P1(x1061,x1063)+~P1(x1061,f26(x1063,x1062))
% 0.21/0.70 [127]~P7(x1271,x1272)+P6(x1271,x1272)+~P4(x1273,x1271,f15(x1271,x1272))
% 0.21/0.70 [128]~P1(x1281,x1283)+P4(x1281,x1282,x1283)+~E(f20(x1282,x1283,x1281),x1281)
% 0.21/0.70 [130]~P1(x1301,x1303)+P4(x1301,x1302,x1303)+P1(f20(x1302,x1303,x1301),x1303)
% 0.21/0.70 [145]~P1(x1451,x1453)+P4(x1451,x1452,x1453)+~P3(x1452,x1451,f20(x1452,x1453,x1451))
% 0.21/0.70 [139]~P1(x1391,x1394)+~P3(x1393,x1391,x1392)+P1(x1391,f21(x1392,x1393,x1394))
% 0.21/0.70 [86]~P5(x861)+P1(f14(x861),x861)+~P6(a10,x861)+P1(x861,a8)
% 0.21/0.70 [94]~P5(x941)+~P6(a10,x941)+~P8(f14(x941),x941)+P1(x941,a8)
% 0.21/0.70 [129]~P4(x1292,x1293,x1294)+E(x1291,x1292)+P3(x1293,x1292,x1291)+~P1(x1291,x1294)
% 0.21/0.70 [138]~P8(x1383,x1382)+~P6(x1381,x1382)+~P1(x1384,x1383)+P4(f16(x1381,x1382,x1383),x1381,x1383)
% 0.21/0.70 [140]~P3(x1404,x1401,x1403)+~P3(x1404,x1403,x1401)+~P1(x1401,x1402)+~P1(x1403,x1402)+~P7(x1404,x1402)
% 0.21/0.70 [144]~P1(x1442,x1444)+~P7(x1441,x1444)+~P3(x1441,x1445,x1443)+~P3(x1441,x1442,x1445)+P3(x1441,x1442,x1443)+~P1(x1443,x1444)+~P1(x1445,x1444)
% 0.21/0.70 %EqnAxiom
% 0.21/0.70 [1]E(x11,x11)
% 0.21/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.70 [4]~E(x41,x42)+E(f22(x41),f22(x42))
% 0.21/0.70 [5]~E(x51,x52)+E(f20(x51,x53,x54),f20(x52,x53,x54))
% 0.21/0.70 [6]~E(x61,x62)+E(f20(x63,x61,x64),f20(x63,x62,x64))
% 0.21/0.70 [7]~E(x71,x72)+E(f20(x73,x74,x71),f20(x73,x74,x72))
% 0.21/0.70 [8]~E(x81,x82)+E(f23(x81),f23(x82))
% 0.21/0.70 [9]~E(x91,x92)+E(f25(x91,x93),f25(x92,x93))
% 0.21/0.70 [10]~E(x101,x102)+E(f25(x103,x101),f25(x103,x102))
% 0.21/0.70 [11]~E(x111,x112)+E(f4(x111,x113),f4(x112,x113))
% 0.21/0.70 [12]~E(x121,x122)+E(f4(x123,x121),f4(x123,x122))
% 0.21/0.70 [13]~E(x131,x132)+E(f7(x131,x133),f7(x132,x133))
% 0.21/0.70 [14]~E(x141,x142)+E(f7(x143,x141),f7(x143,x142))
% 0.21/0.70 [15]~E(x151,x152)+E(f11(x151,x153),f11(x152,x153))
% 0.21/0.70 [16]~E(x161,x162)+E(f11(x163,x161),f11(x163,x162))
% 0.21/0.70 [17]~E(x171,x172)+E(f24(x171),f24(x172))
% 0.21/0.70 [18]~E(x181,x182)+E(f12(x181,x183),f12(x182,x183))
% 0.21/0.70 [19]~E(x191,x192)+E(f12(x193,x191),f12(x193,x192))
% 0.21/0.70 [20]~E(x201,x202)+E(f14(x201),f14(x202))
% 0.21/0.70 [21]~E(x211,x212)+E(f26(x211,x213),f26(x212,x213))
% 0.21/0.70 [22]~E(x221,x222)+E(f26(x223,x221),f26(x223,x222))
% 0.21/0.70 [23]~E(x231,x232)+E(f5(x231,x233),f5(x232,x233))
% 0.21/0.70 [24]~E(x241,x242)+E(f5(x243,x241),f5(x243,x242))
% 0.21/0.70 [25]~E(x251,x252)+E(f27(x251),f27(x252))
% 0.21/0.70 [26]~E(x261,x262)+E(f18(x261,x263),f18(x262,x263))
% 0.21/0.70 [27]~E(x271,x272)+E(f18(x273,x271),f18(x273,x272))
% 0.21/0.70 [28]~E(x281,x282)+E(f6(x281,x283),f6(x282,x283))
% 0.21/0.70 [29]~E(x291,x292)+E(f6(x293,x291),f6(x293,x292))
% 0.21/0.70 [30]~E(x301,x302)+E(f13(x301,x303),f13(x302,x303))
% 0.21/0.70 [31]~E(x311,x312)+E(f13(x313,x311),f13(x313,x312))
% 0.21/0.70 [32]~E(x321,x322)+E(f21(x321,x323,x324),f21(x322,x323,x324))
% 0.21/0.70 [33]~E(x331,x332)+E(f21(x333,x331,x334),f21(x333,x332,x334))
% 0.21/0.70 [34]~E(x341,x342)+E(f21(x343,x344,x341),f21(x343,x344,x342))
% 0.21/0.70 [35]~E(x351,x352)+E(f3(x351,x353),f3(x352,x353))
% 0.21/0.70 [36]~E(x361,x362)+E(f3(x363,x361),f3(x363,x362))
% 0.21/0.70 [37]~E(x371,x372)+E(f28(x371),f28(x372))
% 0.21/0.70 [38]~E(x381,x382)+E(f17(x381,x383),f17(x382,x383))
% 0.21/0.70 [39]~E(x391,x392)+E(f17(x393,x391),f17(x393,x392))
% 0.21/0.70 [40]~E(x401,x402)+E(f15(x401,x403),f15(x402,x403))
% 0.21/0.70 [41]~E(x411,x412)+E(f15(x413,x411),f15(x413,x412))
% 0.21/0.70 [42]~E(x421,x422)+E(f16(x421,x423,x424),f16(x422,x423,x424))
% 0.21/0.70 [43]~E(x431,x432)+E(f16(x433,x431,x434),f16(x433,x432,x434))
% 0.21/0.70 [44]~E(x441,x442)+E(f16(x443,x444,x441),f16(x443,x444,x442))
% 0.21/0.70 [45]~E(x451,x452)+E(f19(x451,x453),f19(x452,x453))
% 0.21/0.70 [46]~E(x461,x462)+E(f19(x463,x461),f19(x463,x462))
% 0.21/0.70 [47]P1(x472,x473)+~E(x471,x472)+~P1(x471,x473)
% 0.21/0.70 [48]P1(x483,x482)+~E(x481,x482)+~P1(x483,x481)
% 0.21/0.70 [49]P3(x492,x493,x494)+~E(x491,x492)+~P3(x491,x493,x494)
% 0.21/0.70 [50]P3(x503,x502,x504)+~E(x501,x502)+~P3(x503,x501,x504)
% 0.21/0.70 [51]P3(x513,x514,x512)+~E(x511,x512)+~P3(x513,x514,x511)
% 0.21/0.70 [52]P4(x522,x523,x524)+~E(x521,x522)+~P4(x521,x523,x524)
% 0.21/0.70 [53]P4(x533,x532,x534)+~E(x531,x532)+~P4(x533,x531,x534)
% 0.21/0.70 [54]P4(x543,x544,x542)+~E(x541,x542)+~P4(x543,x544,x541)
% 0.21/0.70 [55]P7(x552,x553)+~E(x551,x552)+~P7(x551,x553)
% 0.21/0.70 [56]P7(x563,x562)+~E(x561,x562)+~P7(x563,x561)
% 0.21/0.70 [57]P8(x572,x573)+~E(x571,x572)+~P8(x571,x573)
% 0.21/0.70 [58]P8(x583,x582)+~E(x581,x582)+~P8(x583,x581)
% 0.21/0.70 [59]P6(x592,x593)+~E(x591,x592)+~P6(x591,x593)
% 0.21/0.70 [60]P6(x603,x602)+~E(x601,x602)+~P6(x603,x601)
% 0.21/0.70 [61]~P5(x611)+P5(x612)+~E(x611,x612)
% 0.21/0.70 [62]P2(x622,x623)+~E(x621,x622)+~P2(x621,x623)
% 0.21/0.70 [63]P2(x633,x632)+~E(x631,x632)+~P2(x633,x631)
% 0.21/0.70
% 0.21/0.70 %-------------------------------------------
% 0.21/0.70 cnf(146,plain,
% 0.21/0.70 (~P4(x1461,x1462,a2)),
% 0.21/0.70 inference(scs_inference,[],[68,114])).
% 0.21/0.70 cnf(148,plain,
% 0.21/0.70 (P8(a2,x1481)),
% 0.21/0.70 inference(scs_inference,[],[64,68,114,70,81])).
% 0.21/0.70 cnf(149,plain,
% 0.21/0.70 (~P1(x1491,a2)),
% 0.21/0.70 inference(rename_variables,[],[68])).
% 0.21/0.70 cnf(151,plain,
% 0.21/0.70 (~P1(x1511,f27(a2))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,114,70,81,93])).
% 0.21/0.70 cnf(152,plain,
% 0.21/0.70 (~P1(x1521,a2)),
% 0.21/0.70 inference(rename_variables,[],[68])).
% 0.21/0.70 cnf(155,plain,
% 0.21/0.70 (~P1(x1551,a2)),
% 0.21/0.70 inference(rename_variables,[],[68])).
% 0.21/0.70 cnf(158,plain,
% 0.21/0.70 (P8(a9,a1)),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,67,114,70,81,93,48,84,82])).
% 0.21/0.70 cnf(160,plain,
% 0.21/0.70 (~E(a2,a8)),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,67,114,70,81,93,48,84,82,2])).
% 0.21/0.70 cnf(161,plain,
% 0.21/0.70 (~P3(a10,x1611,a2)),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,67,114,70,81,93,48,84,82,2,113])).
% 0.21/0.70 cnf(165,plain,
% 0.21/0.70 (P6(a10,a1)),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,67,114,70,81,93,48,84,82,2,113,95,71])).
% 0.21/0.70 cnf(167,plain,
% 0.21/0.70 (~P1(x1671,f21(x1672,x1673,a2))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,67,114,70,81,93,48,84,82,2,113,95,71,131])).
% 0.21/0.70 cnf(171,plain,
% 0.21/0.70 (~P1(x1711,f3(a2,x1712))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100])).
% 0.21/0.70 cnf(173,plain,
% 0.21/0.70 (~P1(x1731,f17(a2,x1732))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99])).
% 0.21/0.70 cnf(175,plain,
% 0.21/0.70 (~P1(x1751,f17(x1752,a2))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99,98])).
% 0.21/0.70 cnf(181,plain,
% 0.21/0.70 (P1(a2,f23(a2))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99,98,88,87,77])).
% 0.21/0.70 cnf(183,plain,
% 0.21/0.70 (~P1(a8,f22(a2))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99,98,88,87,77,73])).
% 0.21/0.70 cnf(185,plain,
% 0.21/0.70 (~P1(x1851,f21(a2,a10,x1852))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99,98,88,87,77,73,141])).
% 0.21/0.70 cnf(187,plain,
% 0.21/0.70 (P1(x1871,f24(a2))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99,98,88,87,77,73,141,85])).
% 0.21/0.70 cnf(188,plain,
% 0.21/0.70 (~P1(x1881,a2)),
% 0.21/0.70 inference(rename_variables,[],[68])).
% 0.21/0.70 cnf(191,plain,
% 0.21/0.70 (~P8(a8,a2)),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,188,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99,98,88,87,77,73,141,85,61,83])).
% 0.21/0.70 cnf(192,plain,
% 0.21/0.70 (~P1(x1921,a2)),
% 0.21/0.70 inference(rename_variables,[],[68])).
% 0.21/0.70 cnf(196,plain,
% 0.21/0.70 (~P1(x1961,f24(f23(a2)))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,188,192,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99,98,88,87,77,73,141,85,61,83,72,91])).
% 0.21/0.70 cnf(198,plain,
% 0.21/0.70 (P1(a9,f27(a8))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,188,192,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99,98,88,87,77,73,141,85,61,83,72,91,89])).
% 0.21/0.70 cnf(211,plain,
% 0.21/0.70 (P4(f16(a10,a1,a9),a10,a9)),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,188,192,65,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99,98,88,87,77,73,141,85,61,83,72,91,89,106,104,96,90,139,138])).
% 0.21/0.70 cnf(213,plain,
% 0.21/0.70 (~P2(a8,a2)),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,188,192,65,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99,98,88,87,77,73,141,85,61,83,72,91,89,106,104,96,90,139,138,75])).
% 0.21/0.70 cnf(217,plain,
% 0.21/0.70 (P8(x2171,f24(a2))),
% 0.21/0.70 inference(scs_inference,[],[64,68,149,152,155,188,192,65,67,114,70,81,93,48,84,82,2,113,95,71,131,105,100,99,98,88,87,77,73,141,85,61,83,72,91,89,106,104,96,90,139,138,75,74,101])).
% 0.21/0.70 cnf(228,plain,
% 0.21/0.70 (P7(a10,a1)),
% 0.21/0.70 inference(scs_inference,[],[165,76])).
% 0.21/0.70 cnf(230,plain,
% 0.21/0.70 (~P1(a8,f23(a2))),
% 0.21/0.71 inference(scs_inference,[],[165,191,76,80])).
% 0.21/0.71 cnf(235,plain,
% 0.21/0.71 (P8(x2351,f24(a2))),
% 0.21/0.71 inference(rename_variables,[],[217])).
% 0.21/0.71 cnf(239,plain,
% 0.21/0.71 (~P1(x2391,f21(x2392,x2393,a2))),
% 0.21/0.71 inference(rename_variables,[],[167])).
% 0.21/0.71 cnf(250,plain,
% 0.21/0.71 (P1(f12(x2501,f23(a2)),f23(a2))),
% 0.21/0.71 inference(scs_inference,[],[167,173,175,196,185,217,146,198,211,165,191,76,80,92,58,54,112,111,81,93,85])).
% 0.21/0.71 cnf(252,plain,
% 0.21/0.71 (~P1(x2521,f24(f24(a2)))),
% 0.21/0.71 inference(scs_inference,[],[68,167,173,175,196,185,187,217,146,198,211,165,191,76,80,92,58,54,112,111,81,93,85,91])).
% 0.21/0.71 cnf(253,plain,
% 0.21/0.71 (P1(x2531,f24(a2))),
% 0.21/0.71 inference(rename_variables,[],[187])).
% 0.21/0.71 cnf(266,plain,
% 0.21/0.71 (~P4(a8,a10,f24(a2))),
% 0.21/0.71 inference(scs_inference,[],[64,68,167,239,171,173,175,196,185,187,253,217,146,161,183,198,211,160,165,191,76,80,92,58,54,112,111,81,93,85,91,106,96,90,114,48,129])).
% 0.21/0.71 cnf(267,plain,
% 0.21/0.71 (P1(x2671,f24(a2))),
% 0.21/0.71 inference(rename_variables,[],[187])).
% 0.21/0.71 cnf(275,plain,
% 0.21/0.71 (~P3(a10,a9,a9)),
% 0.21/0.71 inference(scs_inference,[],[64,68,67,167,239,171,173,175,196,185,187,253,267,217,146,161,183,198,211,160,165,191,213,76,80,92,58,54,112,111,81,93,85,91,106,96,90,114,48,129,63,145,128,140])).
% 0.21/0.71 cnf(277,plain,
% 0.21/0.71 (P8(a1,a9)),
% 0.21/0.71 inference(scs_inference,[],[64,66,68,65,67,167,239,171,173,175,196,185,187,253,267,217,146,161,183,198,211,160,165,191,213,76,80,92,58,54,112,111,81,93,85,91,106,96,90,114,48,129,63,145,128,140,82])).
% 0.21/0.71 cnf(283,plain,
% 0.21/0.71 (P1(a1,a1)),
% 0.21/0.71 inference(scs_inference,[],[64,66,68,65,67,167,239,171,173,175,196,185,187,253,267,217,235,146,161,183,198,211,158,160,165,191,213,76,80,92,58,54,112,111,81,93,85,91,106,96,90,114,48,129,63,145,128,140,82,95,84,83])).
% 0.21/0.71 cnf(308,plain,
% 0.21/0.71 (~P1(x3081,f24(f24(a2)))),
% 0.21/0.71 inference(rename_variables,[],[252])).
% 0.21/0.71 cnf(311,plain,
% 0.21/0.71 (~P1(x3111,f27(a2))),
% 0.21/0.71 inference(rename_variables,[],[151])).
% 0.21/0.71 cnf(319,plain,
% 0.21/0.71 (~P8(a9,a2)),
% 0.21/0.71 inference(scs_inference,[],[65,68,252,151,311,250,181,230,161,160,47,80,81,93,85,129,83])).
% 0.21/0.71 cnf(320,plain,
% 0.21/0.71 (~P1(x3201,a2)),
% 0.21/0.71 inference(rename_variables,[],[68])).
% 0.21/0.71 cnf(325,plain,
% 0.21/0.71 (~E(a1,a9)),
% 0.21/0.71 inference(scs_inference,[],[65,68,252,151,311,250,181,230,266,275,161,160,47,80,81,93,85,129,83,95,53,50])).
% 0.21/0.71 cnf(328,plain,
% 0.21/0.71 (~P3(a10,a9,a1)),
% 0.21/0.71 inference(scs_inference,[],[65,68,67,252,151,311,250,181,230,266,228,275,283,148,161,160,47,80,81,93,85,129,83,95,53,50,57,140])).
% 0.21/0.71 cnf(333,plain,
% 0.21/0.71 (~P1(x3331,a2)),
% 0.21/0.71 inference(rename_variables,[],[68])).
% 0.21/0.71 cnf(337,plain,
% 0.21/0.71 (P7(x3371,a2)+P1(f6(x3371,a2),a2)),
% 0.21/0.71 inference(scs_inference,[],[65,68,320,333,67,252,308,151,311,250,181,230,266,228,275,283,148,161,160,47,80,81,93,85,129,83,95,53,50,57,140,114,86,145,111])).
% 0.21/0.71 cnf(363,plain,
% 0.21/0.71 ($false),
% 0.21/0.71 inference(scs_inference,[],[65,66,68,67,328,277,319,325,337,80,71,81,83,129,95]),
% 0.21/0.71 ['proof']).
% 0.21/0.71 % SZS output end Proof
% 0.21/0.71 % Total time :0.100000s
%------------------------------------------------------------------------------