TSTP Solution File: LCL483+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL483+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 : 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 : Thu Aug 31 06:49:30 EDT 2023
% Result : Theorem 1.59s 1.67s
% Output : CNFRefutation 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL483+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 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 : Thu Aug 24 19:02:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 1.59/1.66 %-------------------------------------------
% 1.59/1.66 % File :CSE---1.6
% 1.59/1.66 % Problem :theBenchmark
% 1.59/1.66 % Transform :cnf
% 1.59/1.66 % Format :tptp:raw
% 1.59/1.66 % Command :java -jar mcs_scs.jar %d %s
% 1.59/1.66
% 1.59/1.66 % Result :Theorem 1.050000s
% 1.59/1.66 % Output :CNFRefutation 1.050000s
% 1.59/1.66 %-------------------------------------------
% 1.59/1.67 %------------------------------------------------------------------------------
% 1.59/1.67 % File : LCL483+1 : TPTP v8.1.2. Released v3.3.0.
% 1.59/1.67 % Domain : Logic Calculi (Propositional)
% 1.59/1.67 % Problem : Prove Hilbert's modus_tollens axiom from Principia's system
% 1.59/1.67 % Version : [RW10] axioms.
% 1.59/1.67 % English :
% 1.59/1.67
% 1.59/1.67 % Refs : [RW10] Russell & Whitehead (1910), Principia Mathmatica
% 1.59/1.67 % : [Hal] Halleck (URL), John Halleck's Logic Systems
% 1.59/1.67 % Source : [TPTP]
% 1.59/1.67 % Names :
% 1.59/1.67
% 1.59/1.67 % Status : Theorem
% 1.59/1.67 % Rating : 0.22 v7.5.0, 0.25 v7.4.0, 0.20 v7.3.0, 0.24 v7.1.0, 0.22 v7.0.0, 0.23 v6.4.0, 0.35 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.30 v6.0.0, 0.26 v5.5.0, 0.33 v5.4.0, 0.39 v5.3.0, 0.44 v5.2.0, 0.30 v5.1.0, 0.33 v5.0.0, 0.38 v4.1.0, 0.39 v4.0.1, 0.43 v4.0.0, 0.46 v3.7.0, 0.45 v3.5.0, 0.42 v3.4.0, 0.37 v3.3.0
% 1.59/1.67 % Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% 1.59/1.67 % Number of atoms : 79 ( 6 equ)
% 1.59/1.67 % Maximal formula atoms : 4 ( 1 avg)
% 1.59/1.67 % Number of connectives : 34 ( 0 ~; 0 |; 1 &)
% 1.59/1.67 % ( 26 <=>; 7 =>; 0 <=; 0 <~>)
% 1.59/1.67 % Maximal formula depth : 6 ( 3 avg)
% 1.59/1.67 % Maximal term depth : 5 ( 2 avg)
% 1.59/1.67 % Number of predicates : 33 ( 32 usr; 31 prp; 0-2 aty)
% 1.59/1.67 % Number of functors : 5 ( 5 usr; 0 con; 1-2 aty)
% 1.59/1.67 % Number of variables : 65 ( 65 !; 0 ?)
% 1.59/1.67 % SPC : FOF_THM_RFO_SEQ
% 1.59/1.67
% 1.59/1.67 % Comments :
% 1.59/1.67 %------------------------------------------------------------------------------
% 1.59/1.67 %----Include axioms of propositional logic
% 1.59/1.67 include('Axioms/LCL006+0.ax').
% 1.59/1.67 include('Axioms/LCL006+1.ax').
% 1.59/1.67 %----Include Principia's axiomatization of propositional logic
% 1.59/1.67 include('Axioms/LCL006+4.ax').
% 1.59/1.67 %------------------------------------------------------------------------------
% 1.59/1.67 %----Operator definitions to reduce everything to and & not
% 1.59/1.67 fof(hilbert_op_or,axiom,
% 1.59/1.67 op_or ).
% 1.59/1.67
% 1.59/1.67 fof(hilbert_op_implies_and,axiom,
% 1.59/1.67 op_implies_and ).
% 1.59/1.67
% 1.59/1.67 fof(hilbert_op_equiv,axiom,
% 1.59/1.67 op_equiv ).
% 1.59/1.67
% 1.59/1.67 fof(hilbert_modus_tollens,conjecture,
% 1.59/1.67 modus_tollens ).
% 1.59/1.67
% 1.59/1.67 %------------------------------------------------------------------------------
% 1.59/1.67 %-------------------------------------------
% 1.59/1.67 % Proof found
% 1.59/1.67 % SZS status Theorem for theBenchmark
% 1.59/1.67 % SZS output start Proof
% 1.59/1.67 %ClaNum:118(EqnAxiom:44)
% 1.59/1.67 %VarNum:127(SingletonVarNum:63)
% 1.59/1.67 %MaxLitNum:4
% 1.59/1.67 %MaxfuncDepth:4
% 1.59/1.67 %SharedTerms:230
% 1.59/1.67 %goalClause: 58
% 1.59/1.67 %singleGoalClaCount:1
% 1.59/1.67 [45]P1(a500)
% 1.59/1.67 [46]P18(a500)
% 1.59/1.67 [47]P19(a500)
% 1.59/1.67 [48]P29(a500)
% 1.59/1.67 [49]P30(a500)
% 1.59/1.67 [50]P31(a500)
% 1.59/1.67 [51]P32(a500)
% 1.59/1.67 [52]P20(a500)
% 1.59/1.67 [53]P21(a500)
% 1.59/1.67 [54]P23(a500)
% 1.59/1.67 [55]P25(a500)
% 1.59/1.67 [57]P24(a500)
% 1.59/1.67 [58]~P22(a500)
% 1.59/1.67 [80]P3(a500)+~P2(f47(a48,f47(a57,a48)))
% 1.59/1.67 [81]P27(a500)+~P2(f47(a17,f60(a17,a18)))
% 1.59/1.67 [82]P26(a500)+~P2(f47(a19,f60(a20,a19)))
% 1.59/1.67 [83]P15(a500)+~P2(f47(a27,f5(a27,a27)))
% 1.59/1.67 [85]P5(a500)+~P2(f47(f5(a6,a11),a6))
% 1.59/1.67 [86]P4(a500)+~P2(f47(f5(a12,a13),a13))
% 1.59/1.67 [87]P16(a500)+~P2(f47(f5(a31,a32),a31))
% 1.59/1.67 [96]P11(a500)+~P2(f47(f4(a21,a25),f47(a21,a25)))
% 1.59/1.67 [97]P10(a500)+~P2(f47(f4(a26,a28),f47(a28,a26)))
% 1.59/1.67 [101]P22(a500)+~P2(f47(f47(f59(a49),f59(a50)),f47(a50,a49)))
% 1.59/1.67 [104]P13(a500)+~P2(f47(f47(a58,f47(a58,a7)),f47(a58,a7)))
% 1.59/1.67 [91]P6(a500)+~P2(f47(a40,f47(f59(a40),a43)))
% 1.59/1.67 [92]P9(a500)+~P2(f47(f47(f59(a44),a44),a44))
% 1.59/1.67 [103]P7(a500)+~P2(f47(a14,f47(a15,f5(a14,a15))))
% 1.59/1.67 [110]P14(a500)+~P2(f47(f47(a8,a9),f47(f47(a9,a10),f47(a8,a10))))
% 1.59/1.67 [111]P12(a500)+~P2(f47(f47(a29,a30),f47(f47(a30,a29),f4(a29,a30))))
% 1.59/1.67 [112]P8(a500)+~P2(f47(f47(a33,a41),f47(f47(a41,a42),f47(a33,a42))))
% 1.59/1.67 [117]P28(a500)+~P2(f47(f47(a22,a23),f47(f47(a24,a23),f47(f60(a22,a24),a23))))
% 1.59/1.67 [118]P17(a500)+~P2(f47(f47(a34,a35),f47(f59(f5(a35,a36)),f59(f5(a36,a34)))))
% 1.59/1.67 [72]~P15(a500)+P2(f47(x721,f5(x721,x721)))
% 1.59/1.67 [79]~P19(a500)+P2(f47(f60(x791,x791),x791))
% 1.59/1.67 [90]~P9(a500)+P2(f47(f47(f59(x901),x901),x901))
% 1.59/1.67 [64]E(f60(f59(x641),x642),f47(x641,x642))+~P25(a500)
% 1.59/1.67 [70]E(f5(f47(x701,x702),f47(x702,x701)),f4(x701,x702))+~P24(a500)
% 1.59/1.67 [71]~P3(a500)+P2(f47(x711,f47(x712,x711)))
% 1.59/1.67 [73]~P26(a500)+P2(f47(x731,f60(x732,x731)))
% 1.59/1.67 [74]~P29(a500)+P2(f47(x741,f60(x742,x741)))
% 1.59/1.67 [75]~P27(a500)+P2(f47(x751,f60(x751,x752)))
% 1.59/1.67 [76]~P4(a500)+P2(f47(f5(x761,x762),x762))
% 1.59/1.67 [77]~P5(a500)+P2(f47(f5(x771,x772),x771))
% 1.59/1.67 [78]~P16(a500)+P2(f47(f5(x781,x782),x781))
% 1.59/1.67 [93]~P10(a500)+P2(f47(f4(x931,x932),f47(x932,x931)))
% 1.59/1.67 [94]~P11(a500)+P2(f47(f4(x941,x942),f47(x941,x942)))
% 1.59/1.67 [95]~P30(a500)+P2(f47(f60(x951,x952),f60(x952,x951)))
% 1.59/1.67 [102]~P13(a500)+P2(f47(f47(x1021,f47(x1021,x1022)),f47(x1021,x1022)))
% 1.59/1.67 [66]~P23(a500)+E(f59(f5(x661,f59(x662))),f47(x661,x662))
% 1.59/1.67 [68]~P21(a500)+E(f59(f60(f59(x681),f59(x682))),f5(x681,x682))
% 1.59/1.67 [69]~P20(a500)+E(f59(f5(f59(x691),f59(x692))),f60(x691,x692))
% 1.59/1.67 [89]~P6(a500)+P2(f47(x891,f47(f59(x891),x892)))
% 1.59/1.67 [100]~P7(a500)+P2(f47(x1001,f47(x1002,f5(x1001,x1002))))
% 1.59/1.67 [107]~P12(a500)+P2(f47(f47(x1071,x1072),f47(f47(x1072,x1071),f4(x1071,x1072))))
% 1.59/1.67 [105]~P14(a500)+P2(f47(f47(x1051,x1052),f47(f47(x1052,x1053),f47(x1051,x1053))))
% 1.59/1.67 [106]~P8(a500)+P2(f47(f47(x1061,x1062),f47(f47(x1062,x1063),f47(x1061,x1063))))
% 1.59/1.67 [108]~P32(a500)+P2(f47(f47(x1081,x1082),f47(f60(x1083,x1081),f60(x1083,x1082))))
% 1.59/1.67 [109]~P31(a500)+P2(f47(f60(x1091,f60(x1092,x1093)),f60(x1092,f60(x1091,x1093))))
% 1.59/1.67 [115]~P28(a500)+P2(f47(f47(x1151,x1152),f47(f47(x1153,x1152),f47(f60(x1151,x1153),x1152))))
% 1.59/1.67 [116]~P17(a500)+P2(f47(f47(x1161,x1162),f47(f59(f5(x1162,x1163)),f59(f5(x1163,x1161)))))
% 1.59/1.67 [65]E(x651,x652)+~P18(a500)+~P2(f4(x651,x652))
% 1.59/1.67 [67]P2(x671)+~P2(x672)+~P1(a500)+~P2(f47(x672,x671))
% 1.59/1.67 %EqnAxiom
% 1.59/1.67 [1]E(x11,x11)
% 1.59/1.67 [2]E(x22,x21)+~E(x21,x22)
% 1.59/1.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.59/1.67 [4]~E(x41,x42)+E(f47(x41,x43),f47(x42,x43))
% 1.59/1.67 [5]~E(x51,x52)+E(f47(x53,x51),f47(x53,x52))
% 1.59/1.67 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 1.59/1.67 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 1.59/1.67 [8]~E(x81,x82)+E(f59(x81),f59(x82))
% 1.59/1.67 [9]~E(x91,x92)+E(f60(x91,x93),f60(x92,x93))
% 1.59/1.67 [10]~E(x101,x102)+E(f60(x103,x101),f60(x103,x102))
% 1.59/1.67 [11]~E(x111,x112)+E(f5(x111,x113),f5(x112,x113))
% 1.59/1.67 [12]~E(x121,x122)+E(f5(x123,x121),f5(x123,x122))
% 1.59/1.67 [13]~P1(x131)+P1(x132)+~E(x131,x132)
% 1.59/1.67 [14]~P18(x141)+P18(x142)+~E(x141,x142)
% 1.59/1.67 [15]~P19(x151)+P19(x152)+~E(x151,x152)
% 1.59/1.67 [16]~P29(x161)+P29(x162)+~E(x161,x162)
% 1.59/1.67 [17]~P30(x171)+P30(x172)+~E(x171,x172)
% 1.59/1.67 [18]~P31(x181)+P31(x182)+~E(x181,x182)
% 1.59/1.67 [19]~P32(x191)+P32(x192)+~E(x191,x192)
% 1.59/1.67 [20]~P20(x201)+P20(x202)+~E(x201,x202)
% 1.59/1.67 [21]~P21(x211)+P21(x212)+~E(x211,x212)
% 1.59/1.67 [22]~P23(x221)+P23(x222)+~E(x221,x222)
% 1.59/1.67 [23]~P25(x231)+P25(x232)+~E(x231,x232)
% 1.59/1.67 [24]~P24(x241)+P24(x242)+~E(x241,x242)
% 1.59/1.67 [25]~P2(x251)+P2(x252)+~E(x251,x252)
% 1.59/1.67 [26]~P22(x261)+P22(x262)+~E(x261,x262)
% 1.59/1.67 [27]~P17(x271)+P17(x272)+~E(x271,x272)
% 1.59/1.67 [28]~P8(x281)+P8(x282)+~E(x281,x282)
% 1.59/1.67 [29]~P14(x291)+P14(x292)+~E(x291,x292)
% 1.59/1.67 [30]~P16(x301)+P16(x302)+~E(x301,x302)
% 1.59/1.67 [31]~P13(x311)+P13(x312)+~E(x311,x312)
% 1.59/1.67 [32]~P7(x321)+P7(x322)+~E(x321,x322)
% 1.59/1.67 [33]~P4(x331)+P4(x332)+~E(x331,x332)
% 1.59/1.67 [34]~P3(x341)+P3(x342)+~E(x341,x342)
% 1.59/1.67 [35]~P5(x351)+P5(x352)+~E(x351,x352)
% 1.59/1.67 [36]~P27(x361)+P27(x362)+~E(x361,x362)
% 1.59/1.67 [37]~P28(x371)+P28(x372)+~E(x371,x372)
% 1.59/1.67 [38]~P10(x381)+P10(x382)+~E(x381,x382)
% 1.59/1.67 [39]~P11(x391)+P11(x392)+~E(x391,x392)
% 1.59/1.67 [40]~P12(x401)+P12(x402)+~E(x401,x402)
% 1.59/1.67 [41]~P26(x411)+P26(x412)+~E(x411,x412)
% 1.59/1.67 [42]~P15(x421)+P15(x422)+~E(x421,x422)
% 1.59/1.67 [43]~P6(x431)+P6(x432)+~E(x431,x432)
% 1.59/1.67 [44]~P9(x441)+P9(x442)+~E(x441,x442)
% 1.59/1.67
% 1.59/1.67 %-------------------------------------------
% 1.59/1.68 cnf(119,plain,
% 1.59/1.68 (~P2(f47(f47(f59(a49),f59(a50)),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[58,101])).
% 1.59/1.68 cnf(120,plain,
% 1.59/1.68 (P2(f47(f60(x1201,x1201),x1201))),
% 1.59/1.68 inference(scs_inference,[],[58,47,101,79])).
% 1.59/1.68 cnf(121,plain,
% 1.59/1.68 (P2(f47(x1211,f60(x1212,x1211)))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,101,79,74])).
% 1.59/1.68 cnf(122,plain,
% 1.59/1.68 (P2(f47(f60(x1221,x1222),f60(x1222,x1221)))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,101,79,74,95])).
% 1.59/1.68 cnf(123,plain,
% 1.59/1.68 (E(f60(f59(x1231),x1232),f47(x1231,x1232))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,55,101,79,74,95,64])).
% 1.59/1.68 cnf(124,plain,
% 1.59/1.68 (E(f5(f47(x1241,x1242),f47(x1242,x1241)),f4(x1241,x1242))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,55,57,101,79,74,95,64,70])).
% 1.59/1.68 cnf(125,plain,
% 1.59/1.68 (E(f59(f5(x1251,f59(x1252))),f47(x1251,x1252))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,54,55,57,101,79,74,95,64,70,66])).
% 1.59/1.68 cnf(126,plain,
% 1.59/1.68 (P2(f47(f60(x1261,f60(x1262,x1263)),f60(x1262,f60(x1261,x1263))))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,54,55,57,101,79,74,95,64,70,66,109])).
% 1.59/1.68 cnf(127,plain,
% 1.59/1.68 (P2(f47(f47(x1271,x1272),f47(f60(x1273,x1271),f60(x1273,x1272))))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,54,55,57,101,79,74,95,64,70,66,109,108])).
% 1.59/1.68 cnf(128,plain,
% 1.59/1.68 (E(f59(f5(f59(x1281),f59(x1282))),f60(x1281,x1282))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,52,54,55,57,101,79,74,95,64,70,66,109,108,69])).
% 1.59/1.68 cnf(129,plain,
% 1.59/1.68 (E(f59(f60(f59(x1291),f59(x1292))),f5(x1291,x1292))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,52,53,54,55,57,101,79,74,95,64,70,66,109,108,69,68])).
% 1.59/1.68 cnf(130,plain,
% 1.59/1.68 (E(f5(x1301,f60(f59(x1302),x1303)),f5(x1301,f47(x1302,x1303)))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,52,53,54,55,57,101,79,74,95,64,70,66,109,108,69,68,12])).
% 1.59/1.68 cnf(131,plain,
% 1.59/1.68 (E(f5(f60(f59(x1311),x1312),x1313),f5(f47(x1311,x1312),x1313))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,52,53,54,55,57,101,79,74,95,64,70,66,109,108,69,68,12,11])).
% 1.59/1.68 cnf(132,plain,
% 1.59/1.68 (E(f60(x1321,f60(f59(x1322),x1323)),f60(x1321,f47(x1322,x1323)))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,52,53,54,55,57,101,79,74,95,64,70,66,109,108,69,68,12,11,10])).
% 1.59/1.68 cnf(133,plain,
% 1.59/1.68 (E(f60(f60(f59(x1331),x1332),x1333),f60(f47(x1331,x1332),x1333))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,52,53,54,55,57,101,79,74,95,64,70,66,109,108,69,68,12,11,10,9])).
% 1.59/1.68 cnf(137,plain,
% 1.59/1.68 (E(f47(x1371,f60(f59(x1372),x1373)),f47(x1371,f47(x1372,x1373)))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,52,53,54,55,57,101,79,74,95,64,70,66,109,108,69,68,12,11,10,9,8,7,6,5])).
% 1.59/1.68 cnf(138,plain,
% 1.59/1.68 (E(f47(f60(f59(x1381),x1382),x1383),f47(f47(x1381,x1382),x1383))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,52,53,54,55,57,101,79,74,95,64,70,66,109,108,69,68,12,11,10,9,8,7,6,5,4])).
% 1.59/1.68 cnf(139,plain,
% 1.59/1.68 (~E(f47(f60(x1391,x1391),x1391),f47(f47(f59(a49),f59(a50)),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,52,53,54,55,57,101,79,74,95,64,70,66,109,108,69,68,12,11,10,9,8,7,6,5,4,25])).
% 1.59/1.68 cnf(141,plain,
% 1.59/1.68 (~E(f47(f60(f60(f59(x1411),x1412),f60(f59(x1411),x1412)),f47(x1411,x1412)),f47(f47(f59(a49),f59(a50)),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,52,53,54,55,57,101,79,74,95,64,70,66,109,108,69,68,12,11,10,9,8,7,6,5,4,25,24,3])).
% 1.59/1.68 cnf(142,plain,
% 1.59/1.68 (E(f47(x1421,x1422),f60(f59(x1421),x1422))),
% 1.59/1.68 inference(scs_inference,[],[58,47,48,49,50,51,52,53,54,55,57,101,79,74,95,64,70,66,109,108,69,68,12,11,10,9,8,7,6,5,4,25,24,3,2])).
% 1.59/1.68 cnf(147,plain,
% 1.59/1.68 (E(x1471,x1472)+~P2(f4(x1471,x1472))),
% 1.59/1.68 inference(scs_inference,[],[46,65])).
% 1.59/1.68 cnf(148,plain,
% 1.59/1.68 (P2(x1481)+~P2(x1482)+~P2(f47(x1482,x1481))),
% 1.59/1.68 inference(scs_inference,[],[45,67])).
% 1.59/1.68 cnf(149,plain,
% 1.59/1.68 (~P2(f60(f47(f47(f59(a49),f59(a50)),f47(a50,a49)),f47(f47(f59(a49),f59(a50)),f47(a50,a49))))),
% 1.59/1.68 inference(scs_inference,[],[120,119,148])).
% 1.59/1.68 cnf(152,plain,
% 1.59/1.68 (~E(f47(f47(f59(a49),f59(a50)),f47(a50,a49)),f47(f60(x1521,x1521),x1521))),
% 1.59/1.68 inference(scs_inference,[],[120,139,119,148,2])).
% 1.59/1.68 cnf(153,plain,
% 1.59/1.68 (~E(f60(f47(a50,a49),f47(a50,a49)),f47(f59(a49),f59(a50)))),
% 1.59/1.68 inference(scs_inference,[],[120,139,119,148,2,4])).
% 1.59/1.68 cnf(155,plain,
% 1.59/1.68 (~P2(f60(f59(f47(f59(a49),f59(a50))),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[120,123,139,119,148,2,4,25])).
% 1.59/1.68 cnf(156,plain,
% 1.59/1.68 (E(f60(f59(x1561),x1562),f47(x1561,x1562))),
% 1.59/1.68 inference(rename_variables,[],[123])).
% 1.59/1.68 cnf(157,plain,
% 1.59/1.68 (E(f60(f59(x1571),f60(f59(x1572),x1573)),f47(x1571,f47(x1572,x1573)))),
% 1.59/1.68 inference(scs_inference,[],[120,123,156,137,139,119,148,2,4,25,3])).
% 1.59/1.68 cnf(164,plain,
% 1.59/1.68 (~P2(f47(f47(f60(x1641,x1642),f60(x1642,x1641)),f47(f47(f59(a49),f59(a50)),f47(a50,a49))))),
% 1.59/1.68 inference(scs_inference,[],[119,122,148])).
% 1.59/1.68 cnf(167,plain,
% 1.59/1.68 (E(f59(f5(x1671,f59(x1672))),f47(x1671,x1672))),
% 1.59/1.68 inference(rename_variables,[],[125])).
% 1.59/1.68 cnf(168,plain,
% 1.59/1.68 (E(f47(x1681,x1682),f59(f5(x1681,f59(x1682))))),
% 1.59/1.68 inference(scs_inference,[],[119,122,125,167,148,25,2])).
% 1.59/1.68 cnf(170,plain,
% 1.59/1.68 (E(f47(f59(x1701),x1702),f60(x1701,x1702))),
% 1.59/1.68 inference(scs_inference,[],[119,122,125,167,128,148,25,2,4,3])).
% 1.59/1.68 cnf(176,plain,
% 1.59/1.68 (P2(f60(x1761,f47(f47(x1762,x1763),f47(f60(x1764,x1762),f60(x1764,x1763)))))),
% 1.59/1.68 inference(scs_inference,[],[127,121,148])).
% 1.59/1.68 cnf(179,plain,
% 1.59/1.68 (~E(f60(f60(f59(a50),a49),f60(f59(a50),a49)),f47(f59(a49),f59(a50)))),
% 1.59/1.68 inference(scs_inference,[],[127,121,141,148,4])).
% 1.59/1.68 cnf(180,plain,
% 1.59/1.68 (~E(f47(f60(f60(f59(x1801),x1802),f60(f59(x1801),x1802)),f47(x1801,x1802)),f47(f47(f59(a49),f59(a50)),f47(a50,a49)))),
% 1.59/1.68 inference(rename_variables,[],[141])).
% 1.59/1.68 cnf(181,plain,
% 1.59/1.68 (~E(f47(f60(x1811,f60(x1812,x1813)),f60(x1812,f60(x1811,x1813))),f47(f47(f59(a49),f59(a50)),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[119,126,127,121,141,148,4,25])).
% 1.59/1.68 cnf(182,plain,
% 1.59/1.68 (~E(f47(f47(f59(a49),f59(a50)),f47(a50,a49)),f47(f60(f60(f59(x1821),x1822),f60(f59(x1821),x1822)),f47(x1821,x1822)))),
% 1.59/1.68 inference(scs_inference,[],[119,126,127,121,141,180,148,4,25,2])).
% 1.59/1.68 cnf(183,plain,
% 1.59/1.68 (~E(f60(f59(f47(f59(a49),f59(a50))),f47(a50,a49)),f47(f60(x1831,x1831),x1831))),
% 1.59/1.68 inference(scs_inference,[],[119,126,127,142,121,141,180,152,148,4,25,2,3])).
% 1.59/1.68 cnf(188,plain,
% 1.59/1.68 (P2(f47(f60(x1881,f60(x1882,x1882)),f60(x1881,x1882)))),
% 1.59/1.68 inference(scs_inference,[],[120,127,148])).
% 1.59/1.68 cnf(193,plain,
% 1.59/1.68 (~P2(f47(f60(f59(f59(a49)),f59(a50)),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[120,119,130,138,168,127,148,2,4,25])).
% 1.59/1.68 cnf(195,plain,
% 1.59/1.68 (E(f5(f60(f59(x1951),x1952),f60(f59(x1953),x1954)),f5(f47(x1951,x1952),f47(x1953,x1954)))),
% 1.59/1.68 inference(scs_inference,[],[120,119,130,131,138,168,127,148,2,4,25,3])).
% 1.59/1.68 cnf(206,plain,
% 1.59/1.68 (E(f60(x2061,f47(x2062,x2063)),f60(x2061,f59(f5(x2062,f59(x2063)))))),
% 1.59/1.68 inference(scs_inference,[],[120,53,119,130,131,138,168,127,148,2,4,25,3,21,9,8,7,6,5,12,11,10])).
% 1.59/1.68 cnf(209,plain,
% 1.59/1.68 (~P2(f47(f47(f60(x2091,x2091),x2091),f47(f47(f59(a49),f59(a50)),f47(a50,a49))))),
% 1.59/1.68 inference(scs_inference,[],[120,119,148])).
% 1.59/1.68 cnf(211,plain,
% 1.59/1.68 (~P2(f60(f47(f47(f59(a49),f59(a50)),f47(a50,a49)),f60(f59(f47(f59(a49),f59(a50))),f47(a50,a49))))),
% 1.59/1.68 inference(scs_inference,[],[120,119,132,149,148,25])).
% 1.59/1.68 cnf(212,plain,
% 1.59/1.68 (E(f60(x2121,f60(f59(x2122),x2123)),f60(x2121,f47(x2122,x2123)))),
% 1.59/1.68 inference(rename_variables,[],[132])).
% 1.59/1.68 cnf(213,plain,
% 1.59/1.68 (~E(f47(f60(x2131,x2131),x2131),f60(f59(f47(f59(a49),f59(a50))),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[120,119,132,183,149,148,25,2])).
% 1.59/1.68 cnf(214,plain,
% 1.59/1.68 (~E(f47(f59(a49),f59(a50)),f60(f60(f59(a50),a49),f60(f59(a50),a49)))),
% 1.59/1.68 inference(scs_inference,[],[120,119,132,183,149,182,148,25,2,4])).
% 1.59/1.68 cnf(216,plain,
% 1.59/1.68 (~E(f47(f60(x2161,x2161),x2161),f60(f59(f47(f59(a49),f59(a50))),f60(f59(a50),a49)))),
% 1.59/1.68 inference(scs_inference,[],[120,119,132,212,183,149,182,148,25,2,4,3])).
% 1.59/1.68 cnf(223,plain,
% 1.59/1.68 (P2(f47(f60(x2231,x2232),f60(x2231,f60(x2233,x2232))))),
% 1.59/1.68 inference(scs_inference,[],[121,127,148])).
% 1.59/1.68 cnf(224,plain,
% 1.59/1.68 (P2(f47(x2241,f60(x2242,x2241)))),
% 1.59/1.68 inference(rename_variables,[],[121])).
% 1.59/1.68 cnf(229,plain,
% 1.59/1.68 (E(f60(f47(x2291,x2292),x2293),f60(f60(f59(x2291),x2292),x2293))),
% 1.59/1.68 inference(scs_inference,[],[121,224,119,133,170,127,148,4,25,2])).
% 1.59/1.68 cnf(230,plain,
% 1.59/1.68 (~E(f47(f60(x2301,f60(f59(x2302),x2303)),f47(x2302,f60(x2301,x2303))),f47(f47(f59(a49),f59(a50)),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[121,224,119,133,170,181,137,127,148,4,25,2,3])).
% 1.59/1.68 cnf(237,plain,
% 1.59/1.68 (~P2(f60(f47(f47(f59(a49),f59(a50)),f47(a50,a49)),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[223,211,148])).
% 1.59/1.68 cnf(240,plain,
% 1.59/1.68 (E(f47(x2401,f5(f47(x2402,x2403),f47(x2403,x2402))),f47(x2401,f4(x2402,x2403)))),
% 1.59/1.68 inference(scs_inference,[],[223,211,124,148,5])).
% 1.59/1.68 cnf(241,plain,
% 1.59/1.68 (~E(f60(f59(f47(f59(a49),f59(a50))),f60(f59(a50),a49)),f47(f60(x2411,x2411),x2411))),
% 1.59/1.68 inference(scs_inference,[],[223,216,211,124,148,5,2])).
% 1.59/1.68 cnf(242,plain,
% 1.59/1.68 (~E(f47(f59(a49),f59(a50)),f60(f47(a50,a49),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[223,216,211,124,152,148,5,2,4])).
% 1.59/1.68 cnf(244,plain,
% 1.59/1.68 (~P2(f60(f59(f47(f59(a49),f59(a50))),f60(f59(a50),a49)))),
% 1.59/1.68 inference(scs_inference,[],[119,157,223,216,211,124,152,148,5,2,4,25])).
% 1.59/1.68 cnf(255,plain,
% 1.59/1.68 (E(f47(x2551,f4(x2552,x2553)),f47(x2551,f5(f47(x2552,x2553),f47(x2553,x2552))))),
% 1.59/1.68 inference(scs_inference,[],[122,240,155,128,148,4,2])).
% 1.59/1.68 cnf(256,plain,
% 1.59/1.68 (P2(f47(f60(f5(f47(x2561,x2562),f47(x2562,x2561)),f5(f47(x2561,x2562),f47(x2562,x2561))),f4(x2561,x2562)))),
% 1.59/1.68 inference(scs_inference,[],[122,120,240,155,128,148,4,2,25])).
% 1.59/1.68 cnf(272,plain,
% 1.59/1.68 (P2(f60(x2721,f47(f60(x2722,x2723),f60(x2723,x2722))))),
% 1.59/1.68 inference(scs_inference,[],[122,121,148])).
% 1.59/1.68 cnf(275,plain,
% 1.59/1.68 (~E(f47(f60(x2751,x2752),f60(x2752,x2751)),f47(f47(f59(a49),f59(a50)),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[122,121,119,148,25])).
% 1.59/1.68 cnf(277,plain,
% 1.59/1.68 (~E(f47(f60(f4(x2771,x2772),f4(x2771,x2772)),f5(f47(x2771,x2772),f47(x2772,x2771))),f60(f59(f47(f59(a49),f59(a50))),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[122,121,119,255,213,230,148,25,2,3])).
% 1.59/1.68 cnf(285,plain,
% 1.59/1.68 (~P2(f60(f59(a50),a49))),
% 1.59/1.68 inference(scs_inference,[],[121,244,148])).
% 1.59/1.68 cnf(297,plain,
% 1.59/1.68 (~P2(f47(f47(f60(x2971,x2971),x2971),f60(f59(a50),a49)))),
% 1.59/1.68 inference(scs_inference,[],[120,285,148])).
% 1.59/1.68 cnf(300,plain,
% 1.59/1.68 (E(f60(f59(x3001),x3002),f47(x3001,x3002))),
% 1.59/1.68 inference(rename_variables,[],[123])).
% 1.59/1.68 cnf(302,plain,
% 1.59/1.68 (~E(f60(f59(f47(f59(a49),f59(a50))),f47(a50,a49)),f47(f60(f4(x3021,x3022),f4(x3021,x3022)),f5(f47(x3021,x3022),f47(x3022,x3021))))),
% 1.59/1.68 inference(scs_inference,[],[123,120,176,285,277,148,25,2])).
% 1.59/1.68 cnf(303,plain,
% 1.59/1.68 (~E(f60(f60(f59(a50),a49),f60(f59(a50),a49)),f60(f59(f59(a49)),f59(a50)))),
% 1.59/1.68 inference(scs_inference,[],[123,300,120,176,285,179,277,148,25,2,3])).
% 1.59/1.68 cnf(308,plain,
% 1.59/1.68 (P2(f60(x3081,f47(f60(x3082,x3082),x3082)))),
% 1.59/1.68 inference(scs_inference,[],[121,120,148])).
% 1.59/1.68 cnf(311,plain,
% 1.59/1.68 (~E(f47(f60(f5(f47(x3111,x3112),f47(x3112,x3111)),f5(f47(x3111,x3112),f47(x3112,x3111))),f4(x3111,x3112)),f47(f47(f59(a49),f59(a50)),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[121,120,119,256,148,25])).
% 1.59/1.68 cnf(312,plain,
% 1.59/1.68 (E(f4(x3121,x3122),f5(f47(x3121,x3122),f47(x3122,x3121)))),
% 1.59/1.68 inference(scs_inference,[],[124,121,120,119,256,148,25,2])).
% 1.59/1.68 cnf(316,plain,
% 1.59/1.68 (E(f4(x3161,f5(f47(x3162,x3163),f47(x3163,x3162))),f4(x3161,f4(x3162,x3163)))),
% 1.59/1.68 inference(scs_inference,[],[124,121,120,119,256,214,45,170,148,25,2,3,13,7])).
% 1.59/1.68 cnf(317,plain,
% 1.59/1.68 (E(f60(f5(f47(x3171,x3172),f47(x3172,x3171)),x3173),f60(f4(x3171,x3172),x3173))),
% 1.59/1.68 inference(scs_inference,[],[124,121,120,119,256,214,45,170,148,25,2,3,13,7,9])).
% 1.59/1.68 cnf(318,plain,
% 1.59/1.68 (E(f59(f5(f47(x3181,x3182),f47(x3182,x3181))),f59(f4(x3181,x3182)))),
% 1.59/1.68 inference(scs_inference,[],[124,121,120,119,256,214,45,170,148,25,2,3,13,7,9,8])).
% 1.59/1.68 cnf(321,plain,
% 1.59/1.68 (E(f5(f5(f47(x3211,x3212),f47(x3212,x3211)),x3213),f5(f4(x3211,x3212),x3213))),
% 1.59/1.68 inference(scs_inference,[],[124,121,120,119,256,214,45,170,148,25,2,3,13,7,9,8,6,12,11])).
% 1.59/1.68 cnf(322,plain,
% 1.59/1.68 (E(f60(x3221,f5(f47(x3222,x3223),f47(x3223,x3222))),f60(x3221,f4(x3222,x3223)))),
% 1.59/1.68 inference(scs_inference,[],[124,121,120,119,256,214,45,170,148,25,2,3,13,7,9,8,6,12,11,10])).
% 1.59/1.68 cnf(323,plain,
% 1.59/1.68 (E(f47(f5(f47(x3231,x3232),f47(x3232,x3231)),x3233),f47(f4(x3231,x3232),x3233))),
% 1.59/1.68 inference(scs_inference,[],[124,121,120,119,256,214,45,170,148,25,2,3,13,7,9,8,6,12,11,10,4])).
% 1.59/1.68 cnf(330,plain,
% 1.59/1.68 (E(f60(f59(x3301),x3302),f47(x3301,x3302))),
% 1.59/1.68 inference(rename_variables,[],[123])).
% 1.59/1.68 cnf(331,plain,
% 1.59/1.68 (~P2(f60(f59(f47(f60(x3311,x3311),x3311)),f60(f59(a50),a49)))),
% 1.59/1.68 inference(scs_inference,[],[123,330,122,323,297,237,148,3,25])).
% 1.59/1.68 cnf(332,plain,
% 1.59/1.68 (E(f60(f59(x3321),x3322),f47(x3321,x3322))),
% 1.59/1.68 inference(rename_variables,[],[123])).
% 1.59/1.68 cnf(335,plain,
% 1.59/1.68 (~P2(f4(f47(f59(a49),f59(a50)),f60(f47(a50,a49),f47(a50,a49))))),
% 1.59/1.68 inference(scs_inference,[],[123,330,332,122,323,297,242,303,237,148,3,25,2,13,147])).
% 1.59/1.68 cnf(342,plain,
% 1.59/1.68 (~E(f60(f47(a50,a49),f47(a50,a49)),f60(f59(f59(a49)),f59(a50)))),
% 1.59/1.68 inference(scs_inference,[],[123,122,318,153,335,148,2,3])).
% 1.59/1.68 cnf(343,plain,
% 1.59/1.68 (E(f60(f59(x3431),x3432),f47(x3431,x3432))),
% 1.59/1.68 inference(rename_variables,[],[123])).
% 1.59/1.68 cnf(344,plain,
% 1.59/1.68 (P2(f47(x3441,f47(f60(x3442,x3442),x3442)))),
% 1.59/1.68 inference(scs_inference,[],[123,343,122,318,308,153,335,148,2,3,25])).
% 1.59/1.68 cnf(350,plain,
% 1.59/1.68 (P2(f60(x3501,f47(f60(x3502,f60(x3503,x3503)),f60(x3502,x3503))))),
% 1.59/1.68 inference(scs_inference,[],[121,188,148])).
% 1.59/1.68 cnf(353,plain,
% 1.59/1.68 (~E(f47(f60(x3531,f60(x3532,x3532)),f60(x3531,x3532)),f47(f47(f59(a49),f59(a50)),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[121,119,188,148,25])).
% 1.59/1.68 cnf(355,plain,
% 1.59/1.68 (~E(f47(f47(f59(a49),f59(a50)),f47(a50,a49)),f47(f60(f4(x3551,x3552),f4(x3551,x3552)),f5(f47(x3551,x3552),f47(x3552,x3551))))),
% 1.59/1.68 inference(scs_inference,[],[121,123,119,188,302,342,148,25,2,3])).
% 1.59/1.68 cnf(359,plain,
% 1.59/1.68 (~P2(f60(f60(f59(a50),a49),f59(f47(f60(x3591,x3591),x3591))))),
% 1.59/1.68 inference(scs_inference,[],[122,331,148])).
% 1.59/1.68 cnf(362,plain,
% 1.59/1.68 (E(f4(x3621,f5(f47(x3622,x3623),f47(x3623,x3622))),f5(f47(x3621,f4(x3622,x3623)),f47(f4(x3622,x3623),x3621)))),
% 1.59/1.68 inference(scs_inference,[],[122,312,316,331,148,3])).
% 1.59/1.68 cnf(363,plain,
% 1.59/1.68 (E(f4(x3631,f5(f47(x3632,x3633),f47(x3633,x3632))),f4(x3631,f4(x3632,x3633)))),
% 1.59/1.68 inference(rename_variables,[],[316])).
% 1.59/1.68 cnf(364,plain,
% 1.59/1.68 (E(f4(x3641,x3642),f5(f47(x3641,x3642),f47(x3642,x3641)))),
% 1.59/1.68 inference(rename_variables,[],[312])).
% 1.59/1.68 cnf(366,plain,
% 1.59/1.68 (E(f60(f59(x3661),x3662),f47(x3661,x3662))),
% 1.59/1.68 inference(rename_variables,[],[123])).
% 1.59/1.68 cnf(376,plain,
% 1.59/1.68 (E(f47(f4(x3761,x3762),x3763),f47(f5(f47(x3761,x3762),f47(x3762,x3761)),x3763))),
% 1.59/1.68 inference(scs_inference,[],[122,123,366,312,364,316,363,331,209,128,148,3,25,2,21,8,7,9,6,12,11,10,4])).
% 1.59/1.68 cnf(381,plain,
% 1.59/1.68 (E(f60(f5(f47(x3811,x3812),f47(x3812,x3811)),f5(f47(x3813,x3814),f47(x3814,x3813))),f60(f4(x3811,x3812),f4(x3813,x3814)))),
% 1.59/1.68 inference(scs_inference,[],[126,119,317,322,355,148,2,3])).
% 1.59/1.68 cnf(384,plain,
% 1.59/1.68 (P2(f47(x3841,f47(f60(x3842,f60(x3843,x3843)),f60(x3842,x3843))))),
% 1.59/1.68 inference(scs_inference,[],[126,123,119,317,322,350,355,148,2,3,25])).
% 1.59/1.68 cnf(393,plain,
% 1.59/1.68 (P2(f47(f47(x3931,x3932),f47(f60(x3933,x3931),f60(x3933,x3932))))),
% 1.59/1.68 inference(rename_variables,[],[127])).
% 1.59/1.68 cnf(395,plain,
% 1.59/1.68 (~E(f47(f47(x3951,x3952),f47(f60(x3953,x3951),f60(x3953,x3952))),f47(f47(f59(a49),f59(a50)),f47(a50,a49)))),
% 1.59/1.68 inference(scs_inference,[],[127,393,122,119,148,25])).
% 1.59/1.68 cnf(397,plain,
% 1.59/1.68 (~E(f47(f47(f59(a49),f59(a50)),f60(f59(a50),a49)),f47(f60(x3971,x3971),x3971))),
% 1.59/1.68 inference(scs_inference,[],[127,393,122,123,119,362,241,148,25,2,3])).
% 1.59/1.68 cnf(410,plain,
% 1.59/1.68 (~E(f47(f60(x4101,x4101),x4101),f47(f47(f59(a49),f59(a50)),f60(f59(a50),a49)))),
% 1.59/1.68 inference(scs_inference,[],[121,123,376,229,359,397,395,148,5,3,25,2])).
% 1.59/1.68 cnf(421,plain,
% 1.59/1.69 (E(f60(x4211,x4212),f59(f5(f59(x4211),f59(x4212))))),
% 1.59/1.69 inference(scs_inference,[],[126,128,123,124,195,272,285,148,5,25,3,2])).
% 1.59/1.69 cnf(433,plain,
% 1.59/1.69 (P2(f47(x4331,f47(f60(x4332,x4332),x4332)))),
% 1.59/1.69 inference(rename_variables,[],[344])).
% 1.59/1.69 cnf(445,plain,
% 1.59/1.69 (~E(f60(a49,a49),a50)),
% 1.59/1.69 inference(scs_inference,[],[127,125,119,344,433,410,311,353,138,148,3,25,2,18,147,5,4])).
% 1.59/1.69 cnf(465,plain,
% 1.59/1.69 (P2(f60(x4651,f59(f5(f60(x4652,x4652),f59(x4652)))))),
% 1.59/1.69 inference(scs_inference,[],[129,321,206,308,3,25])).
% 1.59/1.69 cnf(490,plain,
% 1.59/1.69 (~E(f60(a49,f59(a50)),f47(f59(a49),f59(a50)))),
% 1.59/1.69 inference(scs_inference,[],[130,129,120,119,381,384,275,193,137,148,3,2,25,15,8,7,9,6,12,11,10,5,4])).
% 1.59/1.69 cnf(501,plain,
% 1.59/1.69 (E(f5(x5011,f60(f59(x5012),x5013)),f5(x5011,f47(x5012,x5013)))),
% 1.59/1.69 inference(rename_variables,[],[130])).
% 1.59/1.69 cnf(506,plain,
% 1.59/1.69 (~P2(f4(f60(a49,a49),a50))),
% 1.59/1.69 inference(scs_inference,[],[130,501,120,123,124,421,465,445,164,148,5,4,3,2,25,14,147])).
% 1.59/1.69 cnf(523,plain,
% 1.59/1.69 ($false),
% 1.59/1.69 inference(scs_inference,[],[120,125,490,506,421,148,3]),
% 1.59/1.69 ['proof']).
% 1.59/1.69 % SZS output end Proof
% 1.59/1.69 % Total time :1.050000s
%------------------------------------------------------------------------------