%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SET245-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 14:21:12 EDT 2024
% Result : Unsatisfiable 3.36s 3.41s
% Output : CNFRefutation 3.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET245-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jun 23 16:44:24 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.58/0.59 start to proof:theBenchmark
% 3.36/3.40 %-------------------------------------------
% 3.36/3.40 % File :CSE---1.7
% 3.36/3.40 % Problem :theBenchmark
% 3.36/3.40 % Transform :cnf
% 3.36/3.40 % Format :tptp:raw
% 3.36/3.40 % Command :java -jar mcs_scs.jar %d %s
% 3.36/3.40
% 3.36/3.40 % Result :Theorem 2.740000s
% 3.36/3.40 % Output :CNFRefutation 2.740000s
% 3.36/3.40 %-------------------------------------------
% 3.36/3.41 %--------------------------------------------------------------------------
% 3.36/3.41 % File : SET245-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 3.36/3.41 % Domain : Set Theory
% 3.36/3.41 % Problem : Restriction with null class 1
% 3.36/3.41 % Version : [Qua92] axioms.
% 3.36/3.41 % English :
% 3.36/3.41
% 3.36/3.41 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 3.36/3.41 % : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 3.36/3.41 % Source : [Quaife]
% 3.36/3.41 % Names : RS6.2 [Qua92]
% 3.36/3.41
% 3.36/3.41 % Status : Unsatisfiable
% 3.36/3.41 % Rating : 0.30 v8.2.0, 0.33 v8.1.0, 0.26 v7.5.0, 0.32 v7.4.0, 0.35 v7.3.0, 0.42 v7.1.0, 0.33 v7.0.0, 0.40 v6.3.0, 0.36 v6.2.0, 0.40 v6.1.0, 0.43 v6.0.0, 0.50 v5.5.0, 0.70 v5.4.0, 0.65 v5.3.0, 0.72 v5.2.0, 0.62 v5.1.0, 0.59 v5.0.0, 0.57 v4.1.0, 0.62 v4.0.1, 0.64 v3.7.0, 0.50 v3.5.0, 0.55 v3.4.0, 0.58 v3.3.0, 0.50 v3.2.0, 0.38 v3.1.0, 0.55 v2.7.0, 0.42 v2.6.0, 0.44 v2.5.0, 0.55 v2.4.0, 0.25 v2.2.1, 0.00 v2.1.0
% 3.36/3.41 % Syntax : Number of clauses : 113 ( 38 unt; 8 nHn; 80 RR)
% 3.36/3.41 % Number of literals : 219 ( 50 equ; 101 neg)
% 3.36/3.41 % Maximal clause size : 5 ( 1 avg)
% 3.36/3.41 % Maximal term depth : 6 ( 2 avg)
% 3.36/3.41 % Number of predicates : 11 ( 10 usr; 0 prp; 1-3 aty)
% 3.36/3.41 % Number of functors : 48 ( 48 usr; 14 con; 0-3 aty)
% 3.36/3.41 % Number of variables : 214 ( 32 sgn)
% 3.36/3.41 % SPC : CNF_UNS_RFO_SEQ_NHN
% 3.36/3.41
% 3.36/3.41 % Comments : Quaife proves all these problems by augmenting the axioms with
% 3.36/3.41 % all previously proved theorems. With a few exceptions (the
% 3.36/3.41 % problems that correspond to [BL+86] problems), the TPTP has
% 3.36/3.41 % retained the order in which Quaife presents the problems. The
% 3.36/3.41 % user may create an augmented version of this problem by adding
% 3.36/3.41 % all previously proved theorems (the ones that correspond to
% 3.36/3.41 % [BL+86] are easily identified and positioned using Quaife's
% 3.36/3.41 % naming scheme).
% 3.36/3.41 % : Used as a demodulator by Quaife.
% 3.36/3.41 % Bugfixes : v2.1.0 - Bugfix in SET004-0.ax.
% 3.36/3.41 %--------------------------------------------------------------------------
% 3.36/3.41 %----Include von Neuman-Bernays-Godel set theory axioms
% 3.36/3.41 include('Axioms/SET004-0.ax').
% 3.36/3.41 %----Include von Neuman-Bernays-Godel Boolean Algebra definitions
% 3.36/3.41 include('Axioms/SET004-1.ax').
% 3.36/3.41 %--------------------------------------------------------------------------
% 3.36/3.41 cnf(prove_restriction_with_null_class1_1,negated_conjecture,
% 3.36/3.41 restrict(null_class,x,y) != null_class ).
% 3.36/3.41
% 3.36/3.41 %--------------------------------------------------------------------------
% 3.36/3.41 %-------------------------------------------
% 3.36/3.41 % Proof found
% 3.36/3.41 % SZS status Theorem for theBenchmark
% 3.36/3.41 % SZS output start Proof
% 3.36/3.41 %ClaNum:143(EqnAxiom:47)
% 3.36/3.41 %VarNum:892(SingletonVarNum:186)
% 3.36/3.41 %MaxLitNum:5
% 3.36/3.41 %MaxfuncDepth:24
% 3.36/3.41 %SharedTerms:47
% 3.36/3.41 %goalClause: 68
% 3.36/3.41 %singleGoalClaCount:1
% 3.36/3.41 [48]P1(a1)
% 3.36/3.41 [49]P2(a2)
% 3.36/3.41 [50]P5(a1,a21)
% 3.36/3.41 [52]P7(a5,f6(a21,a21))
% 3.36/3.41 [53]P7(a22,f6(a21,a21))
% 3.36/3.41 [54]P7(a11,f6(a21,a21))
% 3.36/3.41 [58]P7(a10,f6(a21,f6(a21,a21)))
% 3.36/3.41 [59]P7(a3,f6(a21,f6(a21,a21)))
% 3.36/3.41 [68]~E(f16(a20,f6(a30,a31)),a20)
% 3.36/3.41 [60]E(f16(f9(f8(a5,f9(a13))),a5),a23)
% 3.36/3.41 [64]E(f16(f12(f14(f6(a28,a21))),a28),a13)
% 3.36/3.41 [65]E(f16(f6(a21,a21),f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21))))))),a28)
% 3.36/3.41 [51]P7(x511,a21)
% 3.36/3.41 [56]P7(f7(x561),f6(a21,a21))
% 3.36/3.41 [62]P7(f24(x621),f6(f6(a21,a21),a21))
% 3.36/3.41 [63]P7(f14(x631),f6(f6(a21,a21),a21))
% 3.36/3.41 [66]E(f16(f12(x661),f9(f12(f16(f8(f12(f14(f6(a5,a21))),x661),a13)))),f4(x661))
% 3.36/3.41 [67]E(f15(f17(f16(x671,f6(f12(f12(f14(f6(f16(f12(f14(f6(x671,a21))),f6(f29(f15(f17(f8(x671,f12(f14(f6(x671,a21)))),a13)),f15(f17(f8(x671,f12(f14(f6(x671,a21)))),a13))),a21)),a21)))),f29(f26(f17(f8(x671,f12(f14(f6(x671,a21)))),a13)),f26(f17(f8(x671,f12(f14(f6(x671,a21)))),a13))))),a20)),f27(x671))
% 3.36/3.41 [55]P5(f29(x551,x552),a21)
% 3.36/3.41 [57]P7(f8(x571,x572),f6(a21,a21))
% 3.36/3.41 [61]E(f16(f6(x611,x612),x613),f16(x613,f6(x611,x612)))
% 3.36/3.41 [69]~P8(x691)+P2(x691)
% 3.36/3.41 [70]~P9(x701)+P2(x701)
% 3.36/3.41 [73]~P1(x731)+P7(a1,x731)
% 3.36/3.41 [74]~P1(x741)+P5(a20,x741)
% 3.36/3.41 [76]P5(f25(x761),x761)+E(x761,a20)
% 3.36/3.41 [77]~P2(x771)+P7(x771,f6(a21,a21))
% 3.36/3.41 [75]E(x751,a20)+E(f16(x751,f25(x751)),a20)
% 3.36/3.41 [85]~P9(x851)+E(f6(f12(f12(x851)),f12(f12(x851))),f12(x851))
% 3.36/3.41 [97]~P8(x971)+P2(f12(f14(f6(x971,a21))))
% 3.36/3.41 [101]~P5(x1011,a21)+P5(f12(f16(a5,f6(a21,x1011))),a21)
% 3.36/3.41 [103]~P10(x1031)+P7(f8(x1031,f12(f14(f6(x1031,a21)))),a13)
% 3.36/3.41 [104]~P2(x1041)+P7(f8(x1041,f12(f14(f6(x1041,a21)))),a13)
% 3.36/3.41 [105]~P9(x1051)+P7(f12(f12(f14(f6(x1051,a21)))),f12(f12(x1051)))
% 3.36/3.41 [110]~P5(x1101,a21)+P5(f29(f29(x1101,x1101),f29(x1101,f29(f12(x1101),f12(x1101)))),a11)
% 3.36/3.41 [113]P10(x1131)+~P7(f8(x1131,f12(f14(f6(x1131,a21)))),a13)
% 3.36/3.41 [125]~P1(x1251)+P7(f12(f12(f14(f6(f16(a22,f6(x1251,a21)),a21)))),x1251)
% 3.36/3.41 [129]~P5(x1291,a21)+P5(f9(f12(f12(f14(f6(f16(a5,f6(f9(x1291),a21)),a21))))),a21)
% 3.36/3.41 [71]~E(x712,x711)+P7(x711,x712)
% 3.36/3.41 [72]~E(x721,x722)+P7(x721,x722)
% 3.36/3.41 [79]P7(x791,x792)+P5(f17(x791,x792),x791)
% 3.36/3.41 [80]~P5(x801,x802)+~P5(x801,f9(x802))
% 3.36/3.41 [83]~P5(x831,a21)+P5(x831,f29(x832,x831))
% 3.36/3.41 [84]~P5(x841,a21)+P5(x841,f29(x841,x842))
% 3.36/3.41 [89]P7(x891,x892)+~P5(f17(x891,x892),x892)
% 3.36/3.41 [100]~P5(x1002,f12(x1001))+~E(f16(x1001,f6(f29(x1002,x1002),a21)),a20)
% 3.36/3.41 [111]E(f12(x1111),x1112)+~P5(f29(f29(x1111,x1111),f29(x1111,f29(x1112,x1112))),a11)
% 3.36/3.41 [112]P5(x1121,x1122)+~P5(f29(f29(x1121,x1121),f29(x1121,f29(x1122,x1122))),a5)
% 3.36/3.41 [121]~P5(f29(f29(x1211,x1211),f29(x1211,f29(x1212,x1212))),a22)+E(f9(f16(f9(x1211),f9(f29(x1211,x1211)))),x1212)
% 3.36/3.41 [134]~P5(f29(f29(x1341,x1341),f29(x1341,f29(x1342,x1342))),f6(a21,a21))+P5(f29(f29(x1341,x1341),f29(x1341,f29(f29(f29(x1342,x1342),f29(x1342,f29(f8(x1341,x1342),f8(x1341,x1342)))),f29(f29(x1342,x1342),f29(x1342,f29(f8(x1341,x1342),f8(x1341,x1342))))))),a10)
% 3.36/3.41 [91]P2(x911)+~P3(x911,x912,x913)
% 3.36/3.41 [92]P2(x921)+~P6(x921,x922,x923)
% 3.36/3.41 [93]P9(x931)+~P4(x932,x933,x931)
% 3.36/3.41 [94]P9(x941)+~P4(x942,x941,x943)
% 3.36/3.41 [99]~P4(x991,x992,x993)+P3(x991,x992,x993)
% 3.36/3.41 [87]P5(x871,x872)+~P5(x871,f16(x873,x872))
% 3.36/3.41 [88]P5(x881,x882)+~P5(x881,f16(x882,x883))
% 3.36/3.41 [95]~P6(x951,x952,x953)+E(f12(x951),x952)
% 3.36/3.41 [96]~P3(x962,x961,x963)+E(f12(f12(x961)),f12(x962))
% 3.36/3.41 [114]E(f8(x1141,x1142),x1143)+~P5(f29(f29(x1142,x1142),f29(x1142,f29(x1143,x1143))),f7(x1141))
% 3.36/3.41 [106]~P5(x1061,f6(x1062,x1063))+E(f29(f29(f15(x1061),f15(x1061)),f29(f15(x1061),f29(f26(x1061),f26(x1061)))),x1061)
% 3.36/3.41 [108]~P6(x1081,x1083,x1082)+P7(f12(f12(f14(f6(x1081,a21)))),x1082)
% 3.36/3.41 [109]~P3(x1091,x1093,x1092)+P7(f12(f12(f14(f6(x1091,a21)))),f12(f12(x1092)))
% 3.36/3.41 [130]E(f8(x1301,x1302),x1303)+~P5(f29(f29(x1301,x1301),f29(x1301,f29(f29(f29(x1302,x1302),f29(x1302,f29(x1303,x1303))),f29(f29(x1302,x1302),f29(x1302,f29(x1303,x1303)))))),a10)
% 3.36/3.41 [131]P5(x1311,f12(x1312))+~P5(f29(f29(x1312,x1312),f29(x1312,f29(f29(f29(x1311,x1311),f29(x1311,f29(x1313,x1313))),f29(f29(x1311,x1311),f29(x1311,f29(x1313,x1313)))))),a3)
% 3.36/3.41 [137]~P5(f29(f29(x1371,x1371),f29(x1371,f29(f29(f29(x1372,x1372),f29(x1372,f29(x1373,x1373))),f29(f29(x1372,x1372),f29(x1372,f29(x1373,x1373)))))),a3)+E(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1371,f6(f29(x1372,x1372),a21)),a21))))))),x1373)
% 3.36/3.41 [115]P5(x1151,x1152)+~P5(f29(f29(x1153,x1153),f29(x1153,f29(x1151,x1151))),f6(x1154,x1152))
% 3.36/3.41 [116]P5(x1161,x1162)+~P5(f29(f29(x1161,x1161),f29(x1161,f29(x1163,x1163))),f6(x1162,x1164))
% 3.36/3.41 [132]~P5(f29(f29(f29(f29(x1323,x1323),f29(x1323,f29(x1321,x1321))),f29(f29(x1323,x1323),f29(x1323,f29(x1321,x1321)))),f29(f29(f29(x1323,x1323),f29(x1323,f29(x1321,x1321))),f29(x1322,x1322))),f24(x1324))+P5(f29(f29(f29(f29(x1321,x1321),f29(x1321,f29(x1322,x1322))),f29(f29(x1321,x1321),f29(x1321,f29(x1322,x1322)))),f29(f29(f29(x1321,x1321),f29(x1321,f29(x1322,x1322))),f29(x1323,x1323))),x1324)
% 3.36/3.41 [133]~P5(f29(f29(f29(f29(x1332,x1332),f29(x1332,f29(x1331,x1331))),f29(f29(x1332,x1332),f29(x1332,f29(x1331,x1331)))),f29(f29(f29(x1332,x1332),f29(x1332,f29(x1331,x1331))),f29(x1333,x1333))),f14(x1334))+P5(f29(f29(f29(f29(x1331,x1331),f29(x1331,f29(x1332,x1332))),f29(f29(x1331,x1331),f29(x1331,f29(x1332,x1332)))),f29(f29(f29(x1331,x1331),f29(x1331,f29(x1332,x1332))),f29(x1333,x1333))),x1334)
% 3.36/3.41 [139]~P5(f29(f29(x1394,x1394),f29(x1394,f29(x1391,x1391))),f8(x1392,x1393))+P5(x1391,f12(f12(f14(f6(f16(x1392,f6(f12(f12(f14(f6(f16(x1393,f6(f29(x1394,x1394),a21)),a21)))),a21)),a21)))))
% 3.36/3.41 [102]~P2(x1021)+P8(x1021)+~P2(f12(f14(f6(x1021,a21))))
% 3.36/3.41 [118]P2(x1181)+~P7(x1181,f6(a21,a21))+~P7(f8(x1181,f12(f14(f6(x1181,a21)))),a13)
% 3.36/3.41 [127]P1(x1271)+~P5(a20,x1271)+~P7(f12(f12(f14(f6(f16(a22,f6(x1271,a21)),a21)))),x1271)
% 3.36/3.41 [138]~P5(x1381,a21)+E(x1381,a20)+P5(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(a2,f6(f29(x1381,x1381),a21)),a21))))))),x1381)
% 3.36/3.41 [78]~P7(x782,x781)+~P7(x781,x782)+E(x781,x782)
% 3.36/3.41 [81]P5(x811,x812)+P5(x811,f9(x812))+~P5(x811,a21)
% 3.36/3.41 [98]P5(x982,f12(x981))+~P5(x982,a21)+E(f16(x981,f6(f29(x982,x982),a21)),a20)
% 3.36/3.41 [122]~P5(x1221,x1222)+~P5(f29(f29(x1221,x1221),f29(x1221,f29(x1222,x1222))),f6(a21,a21))+P5(f29(f29(x1221,x1221),f29(x1221,f29(x1222,x1222))),a5)
% 3.36/3.42 [117]~P2(x1171)+P6(x1171,f12(x1171),x1172)+~P7(f12(f12(f14(f6(x1171,a21)))),x1172)
% 3.36/3.42 [124]~P5(f29(f29(x1241,x1241),f29(x1241,f29(x1242,x1242))),f6(a21,a21))+~E(f9(f16(f9(x1241),f9(f29(x1241,x1241)))),x1242)+P5(f29(f29(x1241,x1241),f29(x1241,f29(x1242,x1242))),a22)
% 3.36/3.42 [126]~P2(x1261)+~P5(x1262,a21)+P5(f12(f12(f14(f6(f16(x1261,f6(x1262,a21)),a21)))),a21)
% 3.36/3.42 [82]~P5(x821,x823)+P5(x821,x822)+~P7(x823,x822)
% 3.36/3.42 [86]E(x861,x862)+E(x861,x863)+~P5(x861,f29(x863,x862))
% 3.36/3.42 [90]~P5(x901,x903)+~P5(x901,x902)+P5(x901,f16(x902,x903))
% 3.36/3.42 [123]~E(f8(x1233,x1231),x1232)+P5(f29(f29(x1231,x1231),f29(x1231,f29(x1232,x1232))),f7(x1233))+~P5(f29(f29(x1231,x1231),f29(x1231,f29(x1232,x1232))),f6(a21,a21))
% 3.36/3.42 [141]~P5(x1412,f12(x1411))+~P5(f29(f29(x1411,x1411),f29(x1411,f29(f29(f29(x1412,x1412),f29(x1412,f29(x1413,x1413))),f29(f29(x1412,x1412),f29(x1412,f29(x1413,x1413)))))),f6(a21,f6(a21,a21)))+P5(f29(f29(x1411,x1411),f29(x1411,f29(f29(f29(x1412,x1412),f29(x1412,f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1411,f6(f29(x1412,x1412),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1411,f6(f29(x1412,x1412),a21)),a21)))))))))),f29(f29(x1412,x1412),f29(x1412,f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1411,f6(f29(x1412,x1412),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1411,f6(f29(x1412,x1412),a21)),a21))))))))))))),a3)
% 3.36/3.42 [107]~P5(x1072,x1074)+~P5(x1071,x1073)+P5(f29(f29(x1071,x1071),f29(x1071,f29(x1072,x1072))),f6(x1073,x1074))
% 3.36/3.42 [135]~P5(f29(f29(f29(f29(x1352,x1352),f29(x1352,f29(x1353,x1353))),f29(f29(x1352,x1352),f29(x1352,f29(x1353,x1353)))),f29(f29(f29(x1352,x1352),f29(x1352,f29(x1353,x1353))),f29(x1351,x1351))),x1354)+P5(f29(f29(f29(f29(x1351,x1351),f29(x1351,f29(x1352,x1352))),f29(f29(x1351,x1351),f29(x1351,f29(x1352,x1352)))),f29(f29(f29(x1351,x1351),f29(x1351,f29(x1352,x1352))),f29(x1353,x1353))),f24(x1354))+~P5(f29(f29(f29(f29(x1351,x1351),f29(x1351,f29(x1352,x1352))),f29(f29(x1351,x1351),f29(x1351,f29(x1352,x1352)))),f29(f29(f29(x1351,x1351),f29(x1351,f29(x1352,x1352))),f29(x1353,x1353))),f6(f6(a21,a21),a21))
% 3.36/3.42 [136]~P5(f29(f29(f29(f29(x1362,x1362),f29(x1362,f29(x1361,x1361))),f29(f29(x1362,x1362),f29(x1362,f29(x1361,x1361)))),f29(f29(f29(x1362,x1362),f29(x1362,f29(x1361,x1361))),f29(x1363,x1363))),x1364)+P5(f29(f29(f29(f29(x1361,x1361),f29(x1361,f29(x1362,x1362))),f29(f29(x1361,x1361),f29(x1361,f29(x1362,x1362)))),f29(f29(f29(x1361,x1361),f29(x1361,f29(x1362,x1362))),f29(x1363,x1363))),f14(x1364))+~P5(f29(f29(f29(f29(x1361,x1361),f29(x1361,f29(x1362,x1362))),f29(f29(x1361,x1361),f29(x1361,f29(x1362,x1362)))),f29(f29(f29(x1361,x1361),f29(x1361,f29(x1362,x1362))),f29(x1363,x1363))),f6(f6(a21,a21),a21))
% 3.36/3.42 [140]P5(f29(f29(x1401,x1401),f29(x1401,f29(x1402,x1402))),f8(x1403,x1404))+~P5(f29(f29(x1401,x1401),f29(x1401,f29(x1402,x1402))),f6(a21,a21))+~P5(x1402,f12(f12(f14(f6(f16(x1403,f6(f12(f12(f14(f6(f16(x1404,f6(f29(x1401,x1401),a21)),a21)))),a21)),a21)))))
% 3.36/3.42 [142]~P4(x1422,x1425,x1421)+~P5(f29(f29(x1423,x1423),f29(x1423,f29(x1424,x1424))),f12(x1425))+E(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1421,f6(f29(f29(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a21)),a21)))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a21)),a21))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1422,f6(f29(x1424,x1424),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1422,f6(f29(x1424,x1424),a21)),a21)))))))))),f29(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a21)),a21)))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a21)),a21))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1422,f6(f29(x1424,x1424),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1422,f6(f29(x1424,x1424),a21)),a21))))))))))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1422,f6(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1425,f6(f29(f29(f29(x1423,x1423),f29(x1423,f29(x1424,x1424))),f29(f29(x1423,x1423),f29(x1423,f29(x1424,x1424)))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1425,f6(f29(f29(f29(x1423,x1423),f29(x1423,f29(x1424,x1424))),f29(f29(x1423,x1423),f29(x1423,f29(x1424,x1424)))),a21)),a21)))))))),a21)),a21))))))))
% 3.36/3.42 [120]~P2(x1201)+P9(x1201)+~E(f6(f12(f12(x1201)),f12(f12(x1201))),f12(x1201))+~P7(f12(f12(f14(f6(x1201,a21)))),f12(f12(x1201)))
% 3.36/3.42 [119]~P2(x1191)+P3(x1191,x1192,x1193)+~E(f12(f12(x1192)),f12(x1191))+~P7(f12(f12(f14(f6(x1191,a21)))),f12(f12(x1193)))
% 3.36/3.42 [128]~P9(x1283)+~P9(x1282)+~P3(x1281,x1282,x1283)+P4(x1281,x1282,x1283)+P5(f29(f29(f18(x1281,x1282,x1283),f18(x1281,x1282,x1283)),f29(f18(x1281,x1282,x1283),f29(f19(x1281,x1282,x1283),f19(x1281,x1282,x1283)))),f12(x1282))
% 3.36/3.42 [143]~P9(x1433)+~P9(x1432)+~P3(x1431,x1432,x1433)+P4(x1431,x1432,x1433)+~E(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1433,f6(f29(f29(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a21)),a21)))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a21)),a21))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433)),a21)),a21)))))))))),f29(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a21)),a21)))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a21)),a21))))))),f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433)),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433)),a21)),a21))))))))))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1431,f6(f29(f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1432,f6(f29(f29(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),f29(f18(x1431,x1432,x1433),f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433)))),f29(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),f29(f18(x1431,x1432,x1433),f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433))))),a21)),a21))))))),f12(f16(a5,f6(a21,f12(f12(f14(f6(f16(x1432,f6(f29(f29(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),f29(f18(x1431,x1432,x1433),f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433)))),f29(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),f29(f18(x1431,x1432,x1433),f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433))))),a21)),a21)))))))),a21)),a21))))))))
% 3.36/3.42 %EqnAxiom
% 3.36/3.42 [1]E(x11,x11)
% 3.36/3.42 [2]E(x22,x21)+~E(x21,x22)
% 3.36/3.42 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.36/3.42 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 3.36/3.42 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 3.36/3.42 [6]~E(x61,x62)+E(f12(x61),f12(x62))
% 3.36/3.42 [7]~E(x71,x72)+E(f16(x71,x73),f16(x72,x73))
% 3.36/3.42 [8]~E(x81,x82)+E(f16(x83,x81),f16(x83,x82))
% 3.36/3.42 [9]~E(x91,x92)+E(f29(x91,x93),f29(x92,x93))
% 3.36/3.42 [10]~E(x101,x102)+E(f29(x103,x101),f29(x103,x102))
% 3.36/3.42 [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 3.36/3.42 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123))
% 3.36/3.42 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132))
% 3.36/3.42 [14]~E(x141,x142)+E(f14(x141),f14(x142))
% 3.36/3.42 [15]~E(x151,x152)+E(f19(x151,x153,x154),f19(x152,x153,x154))
% 3.36/3.42 [16]~E(x161,x162)+E(f19(x163,x161,x164),f19(x163,x162,x164))
% 3.36/3.42 [17]~E(x171,x172)+E(f19(x173,x174,x171),f19(x173,x174,x172))
% 3.36/3.42 [18]~E(x181,x182)+E(f26(x181),f26(x182))
% 3.36/3.42 [19]~E(x191,x192)+E(f17(x191,x193),f17(x192,x193))
% 3.36/3.42 [20]~E(x201,x202)+E(f17(x203,x201),f17(x203,x202))
% 3.36/3.42 [21]~E(x211,x212)+E(f15(x211),f15(x212))
% 3.36/3.42 [22]~E(x221,x222)+E(f27(x221),f27(x222))
% 3.36/3.42 [23]~E(x231,x232)+E(f9(x231),f9(x232))
% 3.36/3.42 [24]~E(x241,x242)+E(f18(x241,x243,x244),f18(x242,x243,x244))
% 3.36/3.42 [25]~E(x251,x252)+E(f18(x253,x251,x254),f18(x253,x252,x254))
% 3.36/3.42 [26]~E(x261,x262)+E(f18(x263,x264,x261),f18(x263,x264,x262))
% 3.36/3.42 [27]~E(x271,x272)+E(f25(x271),f25(x272))
% 3.36/3.42 [28]~E(x281,x282)+E(f4(x281),f4(x282))
% 3.36/3.42 [29]~E(x291,x292)+E(f24(x291),f24(x292))
% 3.36/3.42 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 3.36/3.42 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 3.36/3.42 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 3.36/3.42 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 3.36/3.42 [34]P7(x342,x343)+~E(x341,x342)+~P7(x341,x343)
% 3.36/3.42 [35]P7(x353,x352)+~E(x351,x352)+~P7(x353,x351)
% 3.36/3.42 [36]P3(x362,x363,x364)+~E(x361,x362)+~P3(x361,x363,x364)
% 3.36/3.42 [37]P3(x373,x372,x374)+~E(x371,x372)+~P3(x373,x371,x374)
% 3.36/3.42 [38]P3(x383,x384,x382)+~E(x381,x382)+~P3(x383,x384,x381)
% 3.36/3.42 [39]~P8(x391)+P8(x392)+~E(x391,x392)
% 3.36/3.42 [40]P4(x402,x403,x404)+~E(x401,x402)+~P4(x401,x403,x404)
% 3.36/3.42 [41]P4(x413,x412,x414)+~E(x411,x412)+~P4(x413,x411,x414)
% 3.36/3.42 [42]P4(x423,x424,x422)+~E(x421,x422)+~P4(x423,x424,x421)
% 3.36/3.42 [43]~P9(x431)+P9(x432)+~E(x431,x432)
% 3.36/3.42 [44]P6(x442,x443,x444)+~E(x441,x442)+~P6(x441,x443,x444)
% 3.36/3.42 [45]P6(x453,x452,x454)+~E(x451,x452)+~P6(x453,x451,x454)
% 3.36/3.42 [46]P6(x463,x464,x462)+~E(x461,x462)+~P6(x463,x464,x461)
% 3.36/3.42 [47]~P10(x471)+P10(x472)+~E(x471,x472)
% 3.36/3.42
% 3.36/3.42 %-------------------------------------------
% 3.36/3.42 cnf(144,plain,
% 3.36/3.42 (P7(x1441,x1441)),
% 3.36/3.42 inference(equality_inference,[],[71])).
% 3.36/3.42 cnf(149,plain,
% 3.36/3.42 (P5(f25(f16(a20,f6(a30,a31))),f16(a20,f6(a30,a31)))),
% 3.36/3.42 inference(scs_inference,[],[68,76])).
% 3.36/3.42 cnf(154,plain,
% 3.36/3.42 (P5(f25(f16(a20,f6(a30,a31))),a20)),
% 3.36/3.42 inference(scs_inference,[],[68,61,76,2,87,88])).
% 3.36/3.42 cnf(156,plain,
% 3.36/3.42 (E(f16(f16(f6(a21,a21),f9(f8(f9(a5),f12(f14(f6(a5,a21)))))),f6(a21,a21)),a28)),
% 3.36/3.42 inference(scs_inference,[],[68,61,65,76,2,87,88,3])).
% 3.36/3.42 cnf(176,plain,
% 3.36/3.42 (P5(f25(f16(a20,f6(a30,a31))),a21)),
% 3.36/3.42 inference(scs_inference,[],[149,156,51,2,82])).
% 3.36/3.42 cnf(215,plain,
% 3.36/3.42 (E(a13,f16(f12(f14(f6(a28,a21))),a28))),
% 3.36/3.42 inference(scs_inference,[],[64,2])).
% 3.36/3.42 cnf(468,plain,
% 3.36/3.42 (P5(f25(f16(a20,f6(a30,a31))),x4681)+~E(a20,x4681)),
% 3.36/3.42 inference(scs_inference,[],[215,154,39,33])).
% 3.36/3.42 cnf(706,plain,
% 3.36/3.42 (E(f4(x7061),f16(f12(x7061),f9(f12(f16(f8(f12(f14(f6(a5,a21))),x7061),a13)))))),
% 3.36/3.42 inference(scs_inference,[],[66,2])).
% 3.36/3.42 cnf(1030,plain,
% 3.36/3.42 (E(f4(f8(f16(f9(f8(a5,f9(a13))),a5),x10301)),f4(f8(a23,x10301)))),
% 3.36/3.42 inference(scs_inference,[],[60,28,12])).
% 3.36/3.42 cnf(1031,plain,
% 3.36/3.42 (E(f4(f8(a23,x10311)),f4(f8(f16(f9(f8(a5,f9(a13))),a5),x10311)))),
% 3.36/3.42 inference(scs_inference,[],[1030,2])).
% 3.36/3.42 cnf(1032,plain,
% 3.36/3.42 (E(f4(f8(f16(f9(f8(a5,f9(a13))),a5),x10321)),f16(f12(f8(a23,x10321)),f9(f12(f16(f8(f12(f14(f6(a5,a21))),f8(a23,x10321)),a13)))))),
% 3.36/3.42 inference(scs_inference,[],[706,1030,2,3])).
% 3.36/3.42 cnf(1044,plain,
% 3.36/3.42 (E(f16(f12(f8(a23,x10441)),f9(f12(f16(f8(f12(f14(f6(a5,a21))),f8(a23,x10441)),a13)))),f4(f8(f16(f9(f8(a5,f9(a13))),a5),x10441)))),
% 3.36/3.42 inference(scs_inference,[],[1032,2])).
% 3.36/3.42 cnf(1045,plain,
% 3.36/3.42 (E(f4(f8(a23,x10451)),f16(f12(f8(f16(f9(f8(a5,f9(a13))),a5),x10451)),f9(f12(f16(f8(f12(f14(f6(a5,a21))),f8(f16(f9(f8(a5,f9(a13))),a5),x10451)),a13)))))),
% 3.36/3.42 inference(scs_inference,[],[706,1032,1031,2,3])).
% 3.36/3.42 cnf(1068,plain,
% 3.36/3.42 (E(f16(f12(f8(a23,x10681)),f9(f12(f16(f8(f12(f14(f6(a5,a21))),f8(a23,x10681)),a13)))),f16(f12(f8(f16(f9(f8(a5,f9(a13))),a5),x10681)),f9(f12(f16(f8(f12(f14(f6(a5,a21))),f8(f16(f9(f8(a5,f9(a13))),a5),x10681)),a13)))))),
% 3.36/3.42 inference(scs_inference,[],[706,1044,1045,2,3])).
% 3.36/3.42 cnf(1365,plain,
% 3.36/3.42 (~P5(f25(f16(a20,f6(a30,a31))),f9(f29(x13651,f25(f16(a20,f6(a30,a31))))))),
% 3.36/3.42 inference(scs_inference,[],[176,83,80])).
% 3.36/3.42 cnf(1387,plain,
% 3.36/3.42 (~E(a20,f9(f29(x13871,f25(f16(a20,f6(a30,a31))))))),
% 3.36/3.42 inference(scs_inference,[],[154,1365,33])).
% 3.36/3.42 cnf(1452,plain,
% 3.36/3.42 (P7(f4(x14521),f16(f12(x14521),f9(f12(f16(f8(f12(f14(f6(a5,a21))),x14521),a13)))))),
% 3.36/3.42 inference(scs_inference,[],[66,144,34])).
% 3.36/3.42 cnf(1453,plain,
% 3.36/3.42 (P7(x14531,x14531)),
% 3.36/3.42 inference(rename_variables,[],[144])).
% 3.36/3.42 cnf(1454,plain,
% 3.36/3.42 (P7(f16(f12(x14541),f9(f12(f16(f8(f12(f14(f6(a5,a21))),x14541),a13)))),f4(x14541))),
% 3.36/3.42 inference(scs_inference,[],[66,144,1453,34,35])).
% 3.36/3.42 cnf(1489,plain,
% 3.36/3.42 (P7(f16(f12(f8(f16(f9(f8(a5,f9(a13))),a5),x14891)),f9(f12(f16(f8(f12(f14(f6(a5,a21))),f8(f16(f9(f8(a5,f9(a13))),a5),x14891)),a13)))),f4(f8(a23,x14891)))),
% 3.36/3.42 inference(scs_inference,[],[1068,1454,34])).
% 3.36/3.42 cnf(1491,plain,
% 3.36/3.42 (P7(f4(f8(a23,x14911)),f16(f12(f8(f16(f9(f8(a5,f9(a13))),a5),x14911)),f9(f12(f16(f8(f12(f14(f6(a5,a21))),f8(f16(f9(f8(a5,f9(a13))),a5),x14911)),a13)))))),
% 3.36/3.42 inference(scs_inference,[],[1068,1452,1454,34,35])).
% 3.36/3.42 cnf(1513,plain,
% 3.36/3.42 (E(f16(f9(f29(x15131,f25(f16(a20,f6(a30,a31))))),f25(f9(f29(x15131,f25(f16(a20,f6(a30,a31))))))),a20)),
% 3.36/3.42 inference(scs_inference,[],[1387,75,2])).
% 3.36/3.42 cnf(1517,plain,
% 3.36/3.42 (E(f4(x15171),f16(f12(x15171),f9(f12(f16(f8(f12(f14(f6(a5,a21))),x15171),a13)))))),
% 3.36/3.42 inference(rename_variables,[],[706])).
% 3.36/3.42 cnf(1521,plain,
% 3.36/3.42 ($false),
% 3.36/3.42 inference(scs_inference,[],[68,706,1517,1513,1365,1489,1491,2,3,34,35,468,88]),
% 3.36/3.42 ['proof']).
% 3.36/3.42 % SZS output end Proof
% 3.36/3.42 % Total time :2.740000s
%------------------------------------------------------------------------------