TSTP Solution File: SET506-6 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET506-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 14:30:01 EDT 2023
% Result : Unsatisfiable 1.01s 1.09s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET506-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 12:00:55 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.55 start to proof:theBenchmark
% 1.01/1.09 %-------------------------------------------
% 1.01/1.09 % File :CSE---1.6
% 1.01/1.09 % Problem :theBenchmark
% 1.01/1.09 % Transform :cnf
% 1.01/1.09 % Format :tptp:raw
% 1.01/1.09 % Command :java -jar mcs_scs.jar %d %s
% 1.01/1.09
% 1.01/1.09 % Result :Theorem 0.460000s
% 1.01/1.09 % Output :CNFRefutation 0.460000s
% 1.01/1.09 %-------------------------------------------
% 1.01/1.09 %--------------------------------------------------------------------------
% 1.01/1.09 % File : SET506-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 1.01/1.09 % Domain : Set Theory
% 1.01/1.09 % Problem : Universal class not null class
% 1.01/1.09 % Version : [Qua92] axioms.
% 1.01/1.09 % English :
% 1.01/1.09
% 1.01/1.09 % Refs : [BL+86] Boyer et al. (1986), Set Theory in First-Order Logic:
% 1.01/1.09 % : [Qua92] Quaife (1992), Automated Deduction in von Neumann-Bern
% 1.01/1.09 % Source : [Quaife]
% 1.01/1.09 % Names : SP7.1 [Qua92]
% 1.01/1.09
% 1.01/1.09 % Status : Unsatisfiable
% 1.01/1.09 % Rating : 0.24 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.24 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.29 v6.0.0, 0.20 v5.5.0, 0.45 v5.4.0, 0.40 v5.3.0, 0.39 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.36 v4.1.0, 0.46 v4.0.1, 0.64 v3.7.0, 0.40 v3.5.0, 0.45 v3.4.0, 0.33 v3.3.0, 0.29 v3.2.0, 0.15 v3.1.0, 0.27 v2.7.0, 0.42 v2.6.0, 0.22 v2.5.0, 0.18 v2.4.0, 0.00 v2.1.0
% 1.01/1.09 % Syntax : Number of clauses : 113 ( 38 unt; 8 nHn; 80 RR)
% 1.01/1.09 % Number of literals : 219 ( 50 equ; 100 neg)
% 1.01/1.09 % Maximal clause size : 5 ( 1 avg)
% 1.01/1.09 % Maximal term depth : 6 ( 2 avg)
% 1.01/1.09 % Number of predicates : 11 ( 10 usr; 0 prp; 1-3 aty)
% 1.01/1.09 % Number of functors : 46 ( 46 usr; 12 con; 0-3 aty)
% 1.01/1.09 % Number of variables : 214 ( 32 sgn)
% 1.01/1.09 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.01/1.09
% 1.01/1.09 % Comments : Quaife proves all these problems by augmenting the axioms with
% 1.01/1.09 % all previously proved theorems. With a few exceptions (the
% 1.01/1.09 % problems that correspond to [BL+86] problems), the TPTP has
% 1.01/1.09 % retained the order in which Quaife presents the problems. The
% 1.01/1.09 % user may create an augmented version of this problem by adding
% 1.01/1.09 % all previously proved theorems (the ones that correspond to
% 1.01/1.09 % [BL+86] are easily identified and positioned using Quaife's
% 1.01/1.09 % naming scheme).
% 1.01/1.09 % Bugfixes : v1.0.1 - Bugfix in SET004-1.ax.
% 1.01/1.09 % : v2.1.0 - Bugfix in SET004-0.ax.
% 1.01/1.09 %--------------------------------------------------------------------------
% 1.01/1.09 %----Include von Neuman-Bernays-Godel set theory axioms
% 1.01/1.09 include('Axioms/SET004-0.ax').
% 1.01/1.09 %----Include von Neuman-Bernays-Godel Boolean Algebra definitions
% 1.01/1.09 include('Axioms/SET004-1.ax').
% 1.01/1.09 %--------------------------------------------------------------------------
% 1.01/1.09 cnf(prove_universal_class_not_null_class_1,negated_conjecture,
% 1.01/1.09 universal_class = null_class ).
% 1.01/1.09
% 1.01/1.09 %--------------------------------------------------------------------------
% 1.01/1.09 %-------------------------------------------
% 1.01/1.09 % Proof found
% 1.01/1.09 % SZS status Theorem for theBenchmark
% 1.01/1.09 % SZS output start Proof
% 1.01/1.10 %ClaNum:143(EqnAxiom:47)
% 1.01/1.10 %VarNum:892(SingletonVarNum:186)
% 1.01/1.10 %MaxLitNum:5
% 1.01/1.10 %MaxfuncDepth:24
% 1.01/1.10 %SharedTerms:43
% 1.01/1.10 %goalClause: 48
% 1.01/1.10 %singleGoalClaCount:1
% 1.01/1.10 [48]E(a1,a20)
% 1.01/1.10 [49]P1(a21)
% 1.01/1.10 [50]P2(a2)
% 1.01/1.10 [51]P5(a21,a20)
% 1.01/1.10 [53]P7(a5,f6(a20,a20))
% 1.01/1.10 [54]P7(a22,f6(a20,a20))
% 1.01/1.10 [55]P7(a11,f6(a20,a20))
% 1.01/1.10 [59]P7(a10,f6(a20,f6(a20,a20)))
% 1.01/1.10 [60]P7(a3,f6(a20,f6(a20,a20)))
% 1.01/1.10 [61]E(f16(f9(f8(a5,f9(a13))),a5),a23)
% 1.01/1.10 [65]E(f16(f12(f14(f6(a28,a20))),a28),a13)
% 1.01/1.10 [66]E(f16(f6(a20,a20),f16(f6(a20,a20),f9(f8(f9(a5),f12(f14(f6(a5,a20))))))),a28)
% 1.01/1.10 [52]P7(x521,a20)
% 1.01/1.10 [57]P7(f7(x571),f6(a20,a20))
% 1.01/1.10 [63]P7(f24(x631),f6(f6(a20,a20),a20))
% 1.01/1.10 [64]P7(f14(x641),f6(f6(a20,a20),a20))
% 1.01/1.10 [67]E(f16(f12(x671),f9(f12(f16(f8(f12(f14(f6(a5,a20))),x671),a13)))),f4(x671))
% 1.01/1.10 [68]E(f15(f17(f16(x681,f6(f12(f12(f14(f6(f16(f12(f14(f6(x681,a20))),f6(f29(f15(f17(f8(x681,f12(f14(f6(x681,a20)))),a13)),f15(f17(f8(x681,f12(f14(f6(x681,a20)))),a13))),a20)),a20)))),f29(f26(f17(f8(x681,f12(f14(f6(x681,a20)))),a13)),f26(f17(f8(x681,f12(f14(f6(x681,a20)))),a13))))),a1)),f27(x681))
% 1.01/1.10 [56]P5(f29(x561,x562),a20)
% 1.01/1.10 [58]P7(f8(x581,x582),f6(a20,a20))
% 1.01/1.10 [62]E(f16(f6(x621,x622),x623),f16(x623,f6(x621,x622)))
% 1.01/1.10 [69]~P8(x691)+P2(x691)
% 1.01/1.10 [70]~P9(x701)+P2(x701)
% 1.01/1.10 [73]~P1(x731)+P7(a21,x731)
% 1.01/1.10 [74]~P1(x741)+P5(a1,x741)
% 1.01/1.10 [76]P5(f25(x761),x761)+E(x761,a1)
% 1.01/1.10 [77]~P2(x771)+P7(x771,f6(a20,a20))
% 1.01/1.10 [75]E(x751,a1)+E(f16(x751,f25(x751)),a1)
% 1.01/1.10 [85]~P9(x851)+E(f6(f12(f12(x851)),f12(f12(x851))),f12(x851))
% 1.01/1.10 [97]~P8(x971)+P2(f12(f14(f6(x971,a20))))
% 1.01/1.10 [101]~P5(x1011,a20)+P5(f12(f16(a5,f6(a20,x1011))),a20)
% 1.01/1.10 [103]~P10(x1031)+P7(f8(x1031,f12(f14(f6(x1031,a20)))),a13)
% 1.01/1.10 [104]~P2(x1041)+P7(f8(x1041,f12(f14(f6(x1041,a20)))),a13)
% 1.01/1.10 [105]~P9(x1051)+P7(f12(f12(f14(f6(x1051,a20)))),f12(f12(x1051)))
% 1.01/1.10 [110]~P5(x1101,a20)+P5(f29(f29(x1101,x1101),f29(x1101,f29(f12(x1101),f12(x1101)))),a11)
% 1.01/1.10 [113]P10(x1131)+~P7(f8(x1131,f12(f14(f6(x1131,a20)))),a13)
% 1.01/1.10 [125]~P1(x1251)+P7(f12(f12(f14(f6(f16(a22,f6(x1251,a20)),a20)))),x1251)
% 1.01/1.10 [129]~P5(x1291,a20)+P5(f9(f12(f12(f14(f6(f16(a5,f6(f9(x1291),a20)),a20))))),a20)
% 1.01/1.10 [71]~E(x712,x711)+P7(x711,x712)
% 1.01/1.10 [72]~E(x721,x722)+P7(x721,x722)
% 1.01/1.10 [79]P7(x791,x792)+P5(f17(x791,x792),x791)
% 1.01/1.10 [80]~P5(x801,x802)+~P5(x801,f9(x802))
% 1.01/1.10 [83]~P5(x831,a20)+P5(x831,f29(x832,x831))
% 1.01/1.10 [84]~P5(x841,a20)+P5(x841,f29(x841,x842))
% 1.01/1.10 [89]P7(x891,x892)+~P5(f17(x891,x892),x892)
% 1.01/1.10 [100]~P5(x1002,f12(x1001))+~E(f16(x1001,f6(f29(x1002,x1002),a20)),a1)
% 1.01/1.10 [111]E(f12(x1111),x1112)+~P5(f29(f29(x1111,x1111),f29(x1111,f29(x1112,x1112))),a11)
% 1.01/1.10 [112]P5(x1121,x1122)+~P5(f29(f29(x1121,x1121),f29(x1121,f29(x1122,x1122))),a5)
% 1.01/1.10 [121]~P5(f29(f29(x1211,x1211),f29(x1211,f29(x1212,x1212))),a22)+E(f9(f16(f9(x1211),f9(f29(x1211,x1211)))),x1212)
% 1.01/1.10 [134]~P5(f29(f29(x1341,x1341),f29(x1341,f29(x1342,x1342))),f6(a20,a20))+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)
% 1.01/1.10 [91]P2(x911)+~P3(x911,x912,x913)
% 1.01/1.10 [92]P2(x921)+~P6(x921,x922,x923)
% 1.01/1.10 [93]P9(x931)+~P4(x932,x933,x931)
% 1.01/1.10 [94]P9(x941)+~P4(x942,x941,x943)
% 1.01/1.10 [99]~P4(x991,x992,x993)+P3(x991,x992,x993)
% 1.01/1.10 [87]P5(x871,x872)+~P5(x871,f16(x873,x872))
% 1.01/1.10 [88]P5(x881,x882)+~P5(x881,f16(x882,x883))
% 1.01/1.10 [95]~P6(x951,x952,x953)+E(f12(x951),x952)
% 1.01/1.10 [96]~P3(x962,x961,x963)+E(f12(f12(x961)),f12(x962))
% 1.01/1.10 [114]E(f8(x1141,x1142),x1143)+~P5(f29(f29(x1142,x1142),f29(x1142,f29(x1143,x1143))),f7(x1141))
% 1.01/1.10 [106]~P5(x1061,f6(x1062,x1063))+E(f29(f29(f15(x1061),f15(x1061)),f29(f15(x1061),f29(f26(x1061),f26(x1061)))),x1061)
% 1.01/1.10 [108]~P6(x1081,x1083,x1082)+P7(f12(f12(f14(f6(x1081,a20)))),x1082)
% 1.01/1.10 [109]~P3(x1091,x1093,x1092)+P7(f12(f12(f14(f6(x1091,a20)))),f12(f12(x1092)))
% 1.01/1.10 [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)
% 1.01/1.10 [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)
% 1.01/1.10 [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(a20,f12(f12(f14(f6(f16(x1371,f6(f29(x1372,x1372),a20)),a20))))))),x1373)
% 1.01/1.10 [115]P5(x1151,x1152)+~P5(f29(f29(x1153,x1153),f29(x1153,f29(x1151,x1151))),f6(x1154,x1152))
% 1.01/1.10 [116]P5(x1161,x1162)+~P5(f29(f29(x1161,x1161),f29(x1161,f29(x1163,x1163))),f6(x1162,x1164))
% 1.01/1.10 [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)
% 1.01/1.10 [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)
% 1.01/1.10 [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),a20)),a20)))),a20)),a20)))))
% 1.01/1.10 [102]~P2(x1021)+P8(x1021)+~P2(f12(f14(f6(x1021,a20))))
% 1.01/1.10 [118]P2(x1181)+~P7(x1181,f6(a20,a20))+~P7(f8(x1181,f12(f14(f6(x1181,a20)))),a13)
% 1.01/1.10 [127]P1(x1271)+~P5(a1,x1271)+~P7(f12(f12(f14(f6(f16(a22,f6(x1271,a20)),a20)))),x1271)
% 1.01/1.10 [138]~P5(x1381,a20)+E(x1381,a1)+P5(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(a2,f6(f29(x1381,x1381),a20)),a20))))))),x1381)
% 1.01/1.10 [78]~P7(x782,x781)+~P7(x781,x782)+E(x781,x782)
% 1.01/1.10 [81]P5(x811,x812)+P5(x811,f9(x812))+~P5(x811,a20)
% 1.01/1.10 [98]P5(x982,f12(x981))+~P5(x982,a20)+E(f16(x981,f6(f29(x982,x982),a20)),a1)
% 1.01/1.10 [122]~P5(x1221,x1222)+~P5(f29(f29(x1221,x1221),f29(x1221,f29(x1222,x1222))),f6(a20,a20))+P5(f29(f29(x1221,x1221),f29(x1221,f29(x1222,x1222))),a5)
% 1.01/1.10 [117]~P2(x1171)+P6(x1171,f12(x1171),x1172)+~P7(f12(f12(f14(f6(x1171,a20)))),x1172)
% 1.01/1.10 [124]~P5(f29(f29(x1241,x1241),f29(x1241,f29(x1242,x1242))),f6(a20,a20))+~E(f9(f16(f9(x1241),f9(f29(x1241,x1241)))),x1242)+P5(f29(f29(x1241,x1241),f29(x1241,f29(x1242,x1242))),a22)
% 1.01/1.10 [126]~P2(x1261)+~P5(x1262,a20)+P5(f12(f12(f14(f6(f16(x1261,f6(x1262,a20)),a20)))),a20)
% 1.01/1.10 [82]~P5(x821,x823)+P5(x821,x822)+~P7(x823,x822)
% 1.01/1.10 [86]E(x861,x862)+E(x861,x863)+~P5(x861,f29(x863,x862))
% 1.01/1.10 [90]~P5(x901,x903)+~P5(x901,x902)+P5(x901,f16(x902,x903))
% 1.01/1.10 [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(a20,a20))
% 1.01/1.10 [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(a20,f6(a20,a20)))+P5(f29(f29(x1411,x1411),f29(x1411,f29(f29(f29(x1412,x1412),f29(x1412,f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1411,f6(f29(x1412,x1412),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1411,f6(f29(x1412,x1412),a20)),a20)))))))))),f29(f29(x1412,x1412),f29(x1412,f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1411,f6(f29(x1412,x1412),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1411,f6(f29(x1412,x1412),a20)),a20))))))))))))),a3)
% 1.01/1.10 [107]~P5(x1072,x1074)+~P5(x1071,x1073)+P5(f29(f29(x1071,x1071),f29(x1071,f29(x1072,x1072))),f6(x1073,x1074))
% 1.01/1.10 [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(a20,a20),a20))
% 1.01/1.10 [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(a20,a20),a20))
% 1.01/1.10 [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(a20,a20))+~P5(x1402,f12(f12(f14(f6(f16(x1403,f6(f12(f12(f14(f6(f16(x1404,f6(f29(x1401,x1401),a20)),a20)))),a20)),a20)))))
% 1.01/1.10 [142]~P4(x1422,x1425,x1421)+~P5(f29(f29(x1423,x1423),f29(x1423,f29(x1424,x1424))),f12(x1425))+E(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1421,f6(f29(f29(f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a20)),a20)))))))),f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a20)),a20))))))),f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1422,f6(f29(x1424,x1424),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1422,f6(f29(x1424,x1424),a20)),a20)))))))))),f29(f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a20)),a20)))))))),f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1422,f6(f29(x1423,x1423),a20)),a20))))))),f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1422,f6(f29(x1424,x1424),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1422,f6(f29(x1424,x1424),a20)),a20))))))))))),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1422,f6(f29(f12(f16(a5,f6(a20,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)))),a20)),a20))))))),f12(f16(a5,f6(a20,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)))),a20)),a20)))))))),a20)),a20))))))))
% 1.01/1.10 [120]~P2(x1201)+P9(x1201)+~E(f6(f12(f12(x1201)),f12(f12(x1201))),f12(x1201))+~P7(f12(f12(f14(f6(x1201,a20)))),f12(f12(x1201)))
% 1.01/1.10 [119]~P2(x1191)+P3(x1191,x1192,x1193)+~E(f12(f12(x1192)),f12(x1191))+~P7(f12(f12(f14(f6(x1191,a20)))),f12(f12(x1193)))
% 1.01/1.10 [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))
% 1.01/1.10 [143]~P9(x1433)+~P9(x1432)+~P3(x1431,x1432,x1433)+P4(x1431,x1432,x1433)+~E(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1433,f6(f29(f29(f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a20)),a20)))))))),f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a20)),a20))))))),f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1431,f6(f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433)),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1431,f6(f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433)),a20)),a20)))))))))),f29(f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a20)),a20)))))))),f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1431,f6(f29(f18(x1431,x1432,x1433),f18(x1431,x1432,x1433)),a20)),a20))))))),f29(f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1431,f6(f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433)),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1431,f6(f29(f19(x1431,x1432,x1433),f19(x1431,x1432,x1433)),a20)),a20))))))))))),a20)),a20))))))),f12(f16(a5,f6(a20,f12(f12(f14(f6(f16(x1431,f6(f29(f12(f16(a5,f6(a20,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))))),a20)),a20))))))),f12(f16(a5,f6(a20,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))))),a20)),a20)))))))),a20)),a20))))))))
% 1.01/1.10 %EqnAxiom
% 1.01/1.10 [1]E(x11,x11)
% 1.01/1.10 [2]E(x22,x21)+~E(x21,x22)
% 1.01/1.10 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.01/1.10 [4]~E(x41,x42)+E(f6(x41,x43),f6(x42,x43))
% 1.01/1.10 [5]~E(x51,x52)+E(f6(x53,x51),f6(x53,x52))
% 1.01/1.10 [6]~E(x61,x62)+E(f12(x61),f12(x62))
% 1.01/1.10 [7]~E(x71,x72)+E(f16(x71,x73),f16(x72,x73))
% 1.01/1.10 [8]~E(x81,x82)+E(f16(x83,x81),f16(x83,x82))
% 1.01/1.10 [9]~E(x91,x92)+E(f29(x91,x93),f29(x92,x93))
% 1.01/1.10 [10]~E(x101,x102)+E(f29(x103,x101),f29(x103,x102))
% 1.01/1.10 [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 1.01/1.10 [12]~E(x121,x122)+E(f8(x121,x123),f8(x122,x123))
% 1.01/1.10 [13]~E(x131,x132)+E(f8(x133,x131),f8(x133,x132))
% 1.01/1.10 [14]~E(x141,x142)+E(f19(x141,x143,x144),f19(x142,x143,x144))
% 1.01/1.10 [15]~E(x151,x152)+E(f19(x153,x151,x154),f19(x153,x152,x154))
% 1.01/1.10 [16]~E(x161,x162)+E(f19(x163,x164,x161),f19(x163,x164,x162))
% 1.01/1.10 [17]~E(x171,x172)+E(f14(x171),f14(x172))
% 1.01/1.10 [18]~E(x181,x182)+E(f9(x181),f9(x182))
% 1.01/1.10 [19]~E(x191,x192)+E(f18(x191,x193,x194),f18(x192,x193,x194))
% 1.01/1.10 [20]~E(x201,x202)+E(f18(x203,x201,x204),f18(x203,x202,x204))
% 1.01/1.10 [21]~E(x211,x212)+E(f18(x213,x214,x211),f18(x213,x214,x212))
% 1.01/1.10 [22]~E(x221,x222)+E(f24(x221),f24(x222))
% 1.01/1.10 [23]~E(x231,x232)+E(f15(x231),f15(x232))
% 1.01/1.10 [24]~E(x241,x242)+E(f17(x241,x243),f17(x242,x243))
% 1.01/1.10 [25]~E(x251,x252)+E(f17(x253,x251),f17(x253,x252))
% 1.01/1.10 [26]~E(x261,x262)+E(f26(x261),f26(x262))
% 1.01/1.10 [27]~E(x271,x272)+E(f25(x271),f25(x272))
% 1.01/1.10 [28]~E(x281,x282)+E(f4(x281),f4(x282))
% 1.01/1.10 [29]~E(x291,x292)+E(f27(x291),f27(x292))
% 1.01/1.10 [30]~P1(x301)+P1(x302)+~E(x301,x302)
% 1.01/1.10 [31]~P2(x311)+P2(x312)+~E(x311,x312)
% 1.01/1.10 [32]P5(x322,x323)+~E(x321,x322)+~P5(x321,x323)
% 1.01/1.10 [33]P5(x333,x332)+~E(x331,x332)+~P5(x333,x331)
% 1.01/1.10 [34]P7(x342,x343)+~E(x341,x342)+~P7(x341,x343)
% 1.01/1.10 [35]P7(x353,x352)+~E(x351,x352)+~P7(x353,x351)
% 1.01/1.10 [36]P3(x362,x363,x364)+~E(x361,x362)+~P3(x361,x363,x364)
% 1.01/1.10 [37]P3(x373,x372,x374)+~E(x371,x372)+~P3(x373,x371,x374)
% 1.01/1.10 [38]P3(x383,x384,x382)+~E(x381,x382)+~P3(x383,x384,x381)
% 1.01/1.10 [39]~P8(x391)+P8(x392)+~E(x391,x392)
% 1.01/1.10 [40]P4(x402,x403,x404)+~E(x401,x402)+~P4(x401,x403,x404)
% 1.01/1.10 [41]P4(x413,x412,x414)+~E(x411,x412)+~P4(x413,x411,x414)
% 1.01/1.10 [42]P4(x423,x424,x422)+~E(x421,x422)+~P4(x423,x424,x421)
% 1.01/1.10 [43]~P9(x431)+P9(x432)+~E(x431,x432)
% 1.01/1.10 [44]P6(x442,x443,x444)+~E(x441,x442)+~P6(x441,x443,x444)
% 1.01/1.10 [45]P6(x453,x452,x454)+~E(x451,x452)+~P6(x453,x451,x454)
% 1.01/1.10 [46]P6(x463,x464,x462)+~E(x461,x462)+~P6(x463,x464,x461)
% 1.01/1.10 [47]~P10(x471)+P10(x472)+~E(x471,x472)
% 1.01/1.10
% 1.01/1.10 %-------------------------------------------
% 1.01/1.11 cnf(144,plain,
% 1.01/1.11 (E(a20,a1)),
% 1.01/1.11 inference(scs_inference,[],[48,2])).
% 1.01/1.11 cnf(145,plain,
% 1.01/1.11 (P7(x1451,a1)),
% 1.01/1.11 inference(scs_inference,[],[48,52,2,35])).
% 1.01/1.11 cnf(146,plain,
% 1.01/1.11 (P5(a21,a1)),
% 1.01/1.11 inference(scs_inference,[],[48,52,51,2,35,33])).
% 1.01/1.11 cnf(147,plain,
% 1.01/1.11 (P6(a2,f12(a2),a20)),
% 1.01/1.11 inference(scs_inference,[],[48,52,50,51,2,35,33,117])).
% 1.01/1.11 cnf(150,plain,
% 1.01/1.11 (P5(a1,a21)),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,2,35,33,117,74])).
% 1.01/1.11 cnf(154,plain,
% 1.01/1.11 (P7(f16(f12(f14(f6(a28,a20))),a28),a13)),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72])).
% 1.01/1.11 cnf(170,plain,
% 1.01/1.11 (~P5(a21,f9(a20))),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72,71,77,129,125,101,84,83,80])).
% 1.01/1.11 cnf(173,plain,
% 1.01/1.11 (E(f4(a1),f4(a20))),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72,71,77,129,125,101,84,83,80,29,28])).
% 1.01/1.11 cnf(177,plain,
% 1.01/1.11 (E(f17(a1,x1771),f17(a20,x1771))),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72,71,77,129,125,101,84,83,80,29,28,27,26,25,24])).
% 1.01/1.11 cnf(180,plain,
% 1.01/1.11 (E(f18(x1801,x1802,a1),f18(x1801,x1802,a20))),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72,71,77,129,125,101,84,83,80,29,28,27,26,25,24,23,22,21])).
% 1.01/1.11 cnf(181,plain,
% 1.01/1.11 (E(f18(x1811,a1,x1812),f18(x1811,a20,x1812))),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72,71,77,129,125,101,84,83,80,29,28,27,26,25,24,23,22,21,20])).
% 1.01/1.11 cnf(183,plain,
% 1.01/1.11 (E(f9(a1),f9(a20))),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72,71,77,129,125,101,84,83,80,29,28,27,26,25,24,23,22,21,20,19,18])).
% 1.01/1.11 cnf(200,plain,
% 1.01/1.11 (~P5(f29(f29(x2001,x2001),f29(x2001,f29(a21,a21))),f6(x2002,f9(a20)))),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72,71,77,129,125,101,84,83,80,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,104,115])).
% 1.01/1.11 cnf(204,plain,
% 1.01/1.11 (~P5(f29(f29(a21,a21),f29(a21,f29(f9(a20),f9(a20)))),a5)),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72,71,77,129,125,101,84,83,80,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,104,115,116,112])).
% 1.01/1.11 cnf(209,plain,
% 1.01/1.11 (~P7(a20,f9(a20))),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72,71,77,129,125,101,84,83,80,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,104,115,116,112,110,32,82])).
% 1.01/1.11 cnf(217,plain,
% 1.01/1.11 (P5(f29(f29(a21,a21),f29(a21,f29(a21,a21))),f6(a20,a20))),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72,71,77,129,125,101,84,83,80,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,104,115,116,112,110,32,82,81,126,90,107])).
% 1.01/1.11 cnf(219,plain,
% 1.01/1.11 (P10(a2)),
% 1.01/1.11 inference(scs_inference,[],[48,52,49,50,51,65,2,35,33,117,74,73,72,71,77,129,125,101,84,83,80,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,104,115,116,112,110,32,82,81,126,90,107,113])).
% 1.01/1.11 cnf(249,plain,
% 1.01/1.11 (~P5(f17(a20,f9(a20)),f9(a20))),
% 1.01/1.11 inference(scs_inference,[],[200,209,88,87,89])).
% 1.01/1.11 cnf(251,plain,
% 1.01/1.11 (E(f29(f29(f15(f29(f29(a21,a21),f29(a21,f29(a21,a21)))),f15(f29(f29(a21,a21),f29(a21,f29(a21,a21))))),f29(f15(f29(f29(a21,a21),f29(a21,f29(a21,a21)))),f29(f26(f29(f29(a21,a21),f29(a21,f29(a21,a21)))),f26(f29(f29(a21,a21),f29(a21,f29(a21,a21))))))),f29(f29(a21,a21),f29(a21,f29(a21,a21))))),
% 1.01/1.11 inference(scs_inference,[],[217,200,209,88,87,89,106])).
% 1.01/1.11 cnf(253,plain,
% 1.01/1.11 (P5(f29(f29(a21,a21),f29(a21,f29(f29(f29(a21,a21),f29(a21,f29(f8(a21,a21),f8(a21,a21)))),f29(f29(a21,a21),f29(a21,f29(f8(a21,a21),f8(a21,a21))))))),a10)),
% 1.01/1.11 inference(scs_inference,[],[217,200,209,88,87,89,106,134])).
% 1.01/1.11 cnf(260,plain,
% 1.01/1.11 (~P7(a20,f9(a1))),
% 1.01/1.11 inference(scs_inference,[],[65,217,200,146,183,154,209,88,87,89,106,134,34,90,79,35])).
% 1.01/1.11 cnf(261,plain,
% 1.01/1.11 (~P5(a21,f9(a1))),
% 1.01/1.11 inference(scs_inference,[],[65,217,200,170,146,183,154,209,88,87,89,106,134,34,90,79,35,33])).
% 1.01/1.11 cnf(266,plain,
% 1.01/1.11 (P5(f29(x2661,x2662),a20)),
% 1.01/1.11 inference(rename_variables,[],[56])).
% 1.01/1.11 cnf(272,plain,
% 1.01/1.11 (~E(a20,f9(a20))),
% 1.01/1.11 inference(scs_inference,[],[56,266,65,50,217,200,180,181,170,146,183,154,209,88,87,89,106,134,34,90,79,35,33,3,81,126,107,72])).
% 1.01/1.11 cnf(274,plain,
% 1.01/1.11 (~E(f9(a20),a20)),
% 1.01/1.11 inference(scs_inference,[],[56,266,65,50,217,200,180,181,170,146,183,154,209,88,87,89,106,134,34,90,79,35,33,3,81,126,107,72,71])).
% 1.01/1.11 cnf(276,plain,
% 1.01/1.11 (~P7(a20,f6(x2761,f9(a20)))),
% 1.01/1.11 inference(scs_inference,[],[56,266,65,50,217,200,180,181,170,146,183,154,209,88,87,89,106,134,34,90,79,35,33,3,81,126,107,72,71,82])).
% 1.01/1.11 cnf(282,plain,
% 1.01/1.11 (~P5(a20,f29(f9(a20),f9(a20)))),
% 1.01/1.11 inference(scs_inference,[],[48,56,266,65,50,217,200,180,181,170,146,183,154,209,147,144,150,219,88,87,89,106,134,34,90,79,35,33,3,81,126,107,72,71,82,46,32,47,86])).
% 1.01/1.11 cnf(297,plain,
% 1.01/1.11 (~P5(f9(a20),f29(a20,a20))),
% 1.01/1.11 inference(scs_inference,[],[274,86])).
% 1.01/1.11 cnf(299,plain,
% 1.01/1.11 (P7(a23,f16(f9(f8(a5,f9(a13))),a5))),
% 1.01/1.11 inference(scs_inference,[],[61,274,86,71])).
% 1.01/1.11 cnf(301,plain,
% 1.01/1.11 (~P7(a1,f6(x3011,f9(a20)))),
% 1.01/1.11 inference(scs_inference,[],[61,274,276,48,86,71,34])).
% 1.01/1.11 cnf(302,plain,
% 1.01/1.11 (~E(a1,f9(a20))),
% 1.01/1.11 inference(scs_inference,[],[61,144,272,274,276,48,86,71,34,3])).
% 1.01/1.11 cnf(303,plain,
% 1.01/1.11 (~P7(a1,f9(a20))),
% 1.01/1.11 inference(scs_inference,[],[61,144,272,274,276,145,48,86,71,34,3,78])).
% 1.01/1.11 cnf(306,plain,
% 1.01/1.11 (P5(f29(f29(a21,a21),f29(a21,f29(f29(f29(a21,a21),f29(a21,f29(f8(a21,a21),f8(a21,a21)))),f29(f29(a21,a21),f29(a21,f29(f8(a21,a21),f8(a21,a21))))))),f6(a20,f6(a20,a20)))),
% 1.01/1.11 inference(scs_inference,[],[59,61,144,272,274,253,276,145,48,86,71,34,3,78,82])).
% 1.01/1.11 cnf(308,plain,
% 1.01/1.11 (P7(f16(f9(f8(a5,f9(a13))),a5),a23)),
% 1.01/1.11 inference(scs_inference,[],[59,61,144,272,274,253,276,145,48,86,71,34,3,78,82,72])).
% 1.01/1.11 cnf(313,plain,
% 1.01/1.11 (P5(f29(f29(a21,a21),f29(a21,f29(f8(a21,a21),f8(a21,a21)))),f6(a20,a20))),
% 1.01/1.11 inference(scs_inference,[],[59,61,144,56,50,272,274,253,276,145,48,86,71,34,3,78,82,72,35,33,31,115])).
% 1.01/1.11 cnf(343,plain,
% 1.01/1.11 (~P5(f29(f29(x3431,x3431),f29(x3431,f29(a20,a20))),f6(x3432,f29(f9(a20),f9(a20))))),
% 1.01/1.11 inference(scs_inference,[],[282,115])).
% 1.01/1.11 cnf(345,plain,
% 1.01/1.11 (~E(f6(x3451,f9(a20)),a1)),
% 1.01/1.11 inference(scs_inference,[],[282,301,115,71])).
% 1.01/1.11 cnf(347,plain,
% 1.01/1.11 (~P5(f29(x3471,x3472),f9(a20))),
% 1.01/1.11 inference(scs_inference,[],[56,282,301,115,71,80])).
% 1.01/1.11 cnf(349,plain,
% 1.01/1.11 (E(f16(f12(a1),f9(f12(f16(f8(f12(f14(f6(a5,a20))),a1),a13)))),f4(a20))),
% 1.01/1.11 inference(scs_inference,[],[67,56,282,173,301,115,71,80,3])).
% 1.01/1.11 cnf(356,plain,
% 1.01/1.11 (~P7(a20,a5)),
% 1.01/1.11 inference(scs_inference,[],[66,67,56,282,173,301,299,308,204,115,71,80,3,78,72,2,82])).
% 1.01/1.11 cnf(357,plain,
% 1.01/1.11 (P5(f29(x3571,x3572),a20)),
% 1.01/1.11 inference(rename_variables,[],[56])).
% 1.01/1.11 cnf(359,plain,
% 1.01/1.11 (~P5(a1,f29(f9(a20),f9(a20)))),
% 1.01/1.11 inference(scs_inference,[],[66,67,56,282,173,301,299,308,204,48,115,71,80,3,78,72,2,82,32])).
% 1.01/1.11 cnf(364,plain,
% 1.01/1.11 (~E(a21,x3641)+P1(x3641)),
% 1.01/1.11 inference(scs_inference,[],[49,66,67,52,56,357,282,173,301,299,308,204,48,115,71,80,3,78,72,2,82,32,35,33,30])).
% 1.01/1.11 cnf(375,plain,
% 1.01/1.11 (P7(f16(x3751,f6(x3752,x3753)),f16(f6(x3752,x3753),x3751))),
% 1.01/1.11 inference(scs_inference,[],[62,313,115,71])).
% 1.01/1.11 cnf(378,plain,
% 1.01/1.11 (P7(f16(f6(x3781,x3782),x3783),f16(x3783,f6(x3781,x3782)))),
% 1.01/1.11 inference(scs_inference,[],[62,144,345,313,115,71,3,72])).
% 1.01/1.11 cnf(380,plain,
% 1.01/1.11 (~P7(a20,f6(x3801,f29(f9(a20),f9(a20))))),
% 1.01/1.11 inference(scs_inference,[],[62,144,56,343,345,313,115,71,3,72,82])).
% 1.01/1.11 cnf(381,plain,
% 1.01/1.11 (P5(f29(x3811,x3812),a20)),
% 1.01/1.11 inference(rename_variables,[],[56])).
% 1.01/1.11 cnf(383,plain,
% 1.01/1.11 (~E(f9(a20),a1)),
% 1.01/1.11 inference(scs_inference,[],[62,144,56,343,345,302,313,115,71,3,72,82,2])).
% 1.01/1.11 cnf(387,plain,
% 1.01/1.11 (~E(a1,f9(a1))),
% 1.01/1.11 inference(scs_inference,[],[62,145,144,56,343,347,345,260,302,313,177,249,183,115,71,3,72,82,2,32,33,35])).
% 1.01/1.11 cnf(396,plain,
% 1.01/1.11 (~P5(f29(f29(x3961,x3961),f29(x3961,f29(a20,a20))),f6(x3962,f29(f9(a20),f9(a20))))),
% 1.01/1.11 inference(rename_variables,[],[343])).
% 1.01/1.11 cnf(398,plain,
% 1.01/1.11 (~P5(f29(f29(f29(f29(x3981,x3981),f29(x3981,f29(a20,a20))),f29(f29(x3981,x3981),f29(x3981,f29(a20,a20)))),f29(f29(f29(x3981,x3981),f29(x3981,f29(a20,a20))),f29(x3982,x3982))),f6(f6(x3983,f29(f9(a20),f9(a20))),x3984))),
% 1.01/1.11 inference(scs_inference,[],[62,145,144,56,381,343,396,347,345,260,302,313,177,249,183,115,71,3,72,82,2,32,33,35,98,101,112,132,116])).
% 1.01/1.11 cnf(402,plain,
% 1.01/1.11 (P5(f29(x4021,x4022),f29(f29(x4021,x4022),x4023))),
% 1.01/1.11 inference(scs_inference,[],[62,145,144,56,381,343,396,347,345,260,302,313,177,249,183,115,71,3,72,82,2,32,33,35,98,101,112,132,116,129,84])).
% 1.01/1.11 cnf(413,plain,
% 1.01/1.11 (P5(f29(f29(f29(x4131,x4132),f29(x4131,x4132)),f29(f29(x4131,x4132),f29(f12(f29(x4131,x4132)),f12(f29(x4131,x4132))))),a11)),
% 1.01/1.11 inference(scs_inference,[],[62,145,144,56,381,343,396,347,345,260,302,313,177,249,183,115,71,3,72,82,2,32,33,35,98,101,112,132,116,129,84,83,29,27,26,18,17,11,6,110])).
% 1.01/1.11 cnf(423,plain,
% 1.01/1.11 (E(f8(x4231,f16(f6(x4232,x4233),x4234)),f8(x4231,f16(x4234,f6(x4232,x4233))))),
% 1.01/1.11 inference(scs_inference,[],[62,145,144,56,381,343,396,347,345,260,302,313,177,249,183,115,71,3,72,82,2,32,33,35,98,101,112,132,116,129,84,83,29,27,26,18,17,11,6,110,133,21,20,19,16,15,13])).
% 1.01/1.11 cnf(425,plain,
% 1.01/1.11 (E(f29(x4251,f16(f6(x4252,x4253),x4254)),f29(x4251,f16(x4254,f6(x4252,x4253))))),
% 1.01/1.11 inference(scs_inference,[],[62,145,144,56,381,343,396,347,345,260,302,313,177,249,183,115,71,3,72,82,2,32,33,35,98,101,112,132,116,129,84,83,29,27,26,18,17,11,6,110,133,21,20,19,16,15,13,12,10])).
% 1.01/1.11 cnf(448,plain,
% 1.01/1.11 (~P5(f29(f29(x4481,x4481),f29(x4481,f29(f29(f29(f29(f29(x4482,x4482),f29(x4482,f29(a20,a20))),f29(f29(x4482,x4482),f29(x4482,f29(a20,a20)))),f29(f29(f29(x4482,x4482),f29(x4482,f29(a20,a20))),f29(x4483,x4483))),f29(f29(f29(f29(x4482,x4482),f29(x4482,f29(a20,a20))),f29(f29(x4482,x4482),f29(x4482,f29(a20,a20)))),f29(f29(f29(x4482,x4482),f29(x4482,f29(a20,a20))),f29(x4483,x4483)))))),f6(x4484,f6(f6(x4485,f29(f9(a20),f9(a20))),x4486)))),
% 1.01/1.11 inference(scs_inference,[],[56,398,356,81,71,115])).
% 1.01/1.11 cnf(450,plain,
% 1.01/1.11 (~E(a20,f6(x4501,f29(f9(a20),f9(a20))))),
% 1.01/1.11 inference(scs_inference,[],[56,398,356,380,81,71,115,72])).
% 1.01/1.11 cnf(452,plain,
% 1.01/1.11 (~E(a20,f9(a1))),
% 1.01/1.11 inference(scs_inference,[],[56,398,356,380,387,48,81,71,115,72,3])).
% 1.01/1.11 cnf(453,plain,
% 1.01/1.11 (P5(f29(f29(f29(x4531,x4532),f29(x4531,x4532)),f29(f29(x4531,x4532),f29(f12(f29(x4531,x4532)),f12(f29(x4531,x4532))))),f6(a20,a20))),
% 1.01/1.11 inference(scs_inference,[],[55,56,398,413,356,380,387,48,81,71,115,72,3,82])).
% 1.01/1.11 cnf(455,plain,
% 1.01/1.11 (E(f4(x4551),f16(f12(x4551),f9(f12(f16(f8(f12(f14(f6(a5,a20))),x4551),a13)))))),
% 1.01/1.11 inference(scs_inference,[],[55,67,56,398,413,356,380,387,48,81,71,115,72,3,82,2])).
% 1.01/1.11 cnf(456,plain,
% 1.01/1.11 (P5(f29(x4561,f16(x4562,f6(x4563,x4564))),f29(f29(x4561,f16(f6(x4563,x4564),x4562)),x4565))),
% 1.01/1.11 inference(scs_inference,[],[55,67,56,425,402,398,413,356,380,387,48,81,71,115,72,3,82,2,32])).
% 1.01/1.11 cnf(457,plain,
% 1.01/1.11 (P5(f29(x4571,x4572),f29(f29(x4571,x4572),x4573))),
% 1.01/1.11 inference(rename_variables,[],[402])).
% 1.01/1.11 cnf(468,plain,
% 1.01/1.11 (~P5(f29(f29(f29(f29(x4681,x4681),f29(x4681,f29(a20,a20))),f29(f29(x4681,x4681),f29(x4681,f29(a20,a20)))),f29(f29(f29(x4681,x4681),f29(x4681,f29(a20,a20))),f29(x4682,x4682))),f16(x4683,f6(f6(x4684,f29(f9(a20),f9(a20))),x4685)))),
% 1.01/1.11 inference(scs_inference,[],[55,67,66,56,375,425,402,457,398,251,413,356,380,387,306,313,48,81,71,115,72,3,82,2,32,33,35,123,89,106,87])).
% 1.01/1.11 cnf(496,plain,
% 1.01/1.11 (P5(f29(x4961,f16(x4962,f6(x4963,x4964))),f16(f29(f29(x4961,f16(f6(x4963,x4964),x4962)),x4965),f29(f29(x4961,f16(f6(x4963,x4964),x4962)),x4965)))),
% 1.01/1.11 inference(scs_inference,[],[456,359,74,90])).
% 1.01/1.11 cnf(505,plain,
% 1.01/1.11 (P5(f29(x5051,x5052),a20)),
% 1.01/1.11 inference(rename_variables,[],[56])).
% 1.01/1.11 cnf(509,plain,
% 1.01/1.11 (~P7(a1,f9(a1))),
% 1.01/1.11 inference(scs_inference,[],[146,66,56,456,453,448,383,359,261,74,90,86,71,115,81,72,82])).
% 1.01/1.11 cnf(518,plain,
% 1.01/1.11 (P7(f16(f6(x5181,x5182),x5183),f16(x5183,f6(x5181,x5182)))),
% 1.01/1.11 inference(rename_variables,[],[378])).
% 1.01/1.11 cnf(521,plain,
% 1.01/1.11 (P5(f25(f9(a20)),f9(a20))),
% 1.01/1.11 inference(scs_inference,[],[146,66,56,505,62,378,456,453,448,455,383,297,349,450,359,261,183,74,90,86,71,115,81,72,82,3,32,2,33,35,364,76])).
% 1.01/1.11 cnf(529,plain,
% 1.01/1.11 (~P5(f25(f9(a20)),a20)),
% 1.01/1.11 inference(scs_inference,[],[146,66,56,505,62,378,518,456,453,448,455,383,297,349,450,359,303,423,261,183,74,90,86,71,115,81,72,82,3,32,2,33,35,364,76,123,34,79,80])).
% 1.01/1.11 cnf(551,plain,
% 1.01/1.11 ($false),
% 1.01/1.11 inference(scs_inference,[],[52,496,468,509,521,529,452,380,48,86,80,34,71,115,82]),
% 1.01/1.11 ['proof']).
% 1.01/1.11 % SZS output end Proof
% 1.01/1.11 % Total time :0.460000s
%------------------------------------------------------------------------------