TSTP Solution File: GEO111+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO111+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n008.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 : Wed Aug 30 22:43:00 EDT 2023
% Result : Theorem 3.41s 3.62s
% Output : CNFRefutation 3.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO111+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34 % Computer : n008.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Wed Aug 30 00:04:32 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 3.41/3.61 %-------------------------------------------
% 3.41/3.61 % File :CSE---1.6
% 3.41/3.61 % Problem :theBenchmark
% 3.41/3.61 % Transform :cnf
% 3.41/3.61 % Format :tptp:raw
% 3.41/3.61 % Command :java -jar mcs_scs.jar %d %s
% 3.41/3.61
% 3.41/3.61 % Result :Theorem 2.980000s
% 3.41/3.61 % Output :CNFRefutation 2.980000s
% 3.41/3.61 %-------------------------------------------
% 3.41/3.62 %--------------------------------------------------------------------------
% 3.41/3.62 % File : GEO111+1 : TPTP v8.1.2. Released v2.4.0.
% 3.41/3.62 % Domain : Geometry (Oriented curves)
% 3.41/3.62 % Problem : Basic property of orderings on linear structures 1
% 3.41/3.62 % Version : [EHK99] axioms.
% 3.41/3.62 % English : If Q is between P and R wrt. c, then P, Q and R are incident
% 3.41/3.62 % with c and are pairwise distinct
% 3.41/3.62
% 3.41/3.62 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 3.41/3.62 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 3.41/3.62 % Source : [KE99]
% 3.41/3.62 % Names : Theorem 3.8 (1) [KE99]
% 3.41/3.62 % : T4 [EHK99]
% 3.41/3.62
% 3.41/3.62 % Status : Theorem
% 3.41/3.62 % Rating : 0.17 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.17 v7.3.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.13 v7.0.0, 0.17 v6.4.0, 0.19 v6.3.0, 0.12 v6.2.0, 0.20 v6.1.0, 0.33 v6.0.0, 0.22 v5.5.0, 0.26 v5.4.0, 0.36 v5.3.0, 0.41 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.25 v4.1.0, 0.26 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.32 v3.3.0, 0.21 v3.2.0, 0.18 v3.1.0, 0.33 v2.7.0, 0.17 v2.6.0, 0.33 v2.5.0, 0.17 v2.4.0
% 3.41/3.62 % Syntax : Number of formulae : 18 ( 1 unt; 0 def)
% 3.41/3.62 % Number of atoms : 80 ( 14 equ)
% 3.41/3.62 % Maximal formula atoms : 12 ( 4 avg)
% 3.41/3.62 % Number of connectives : 70 ( 8 ~; 9 |; 30 &)
% 3.41/3.62 % ( 10 <=>; 13 =>; 0 <=; 0 <~>)
% 3.41/3.62 % Maximal formula depth : 12 ( 8 avg)
% 3.41/3.62 % Maximal term depth : 2 ( 1 avg)
% 3.41/3.62 % Number of predicates : 9 ( 8 usr; 0 prp; 1-4 aty)
% 3.41/3.62 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 3.41/3.62 % Number of variables : 62 ( 52 !; 10 ?)
% 3.41/3.62 % SPC : FOF_THM_RFO_SEQ
% 3.41/3.62
% 3.41/3.62 % Comments :
% 3.41/3.62 %--------------------------------------------------------------------------
% 3.41/3.62 %----Include simple curve axioms
% 3.41/3.62 include('Axioms/GEO004+0.ax').
% 3.41/3.62 %----Include axioms of betweenness for simple curves
% 3.41/3.62 include('Axioms/GEO004+1.ax').
% 3.41/3.62 %--------------------------------------------------------------------------
% 3.41/3.62 fof(theorem_3_8_1,conjecture,
% 3.41/3.62 ! [C,P,Q,R] :
% 3.41/3.62 ( between_c(C,P,Q,R)
% 3.41/3.62 => ( incident_c(P,C)
% 3.41/3.62 & incident_c(Q,C)
% 3.41/3.62 & incident_c(R,C)
% 3.41/3.62 & P != Q
% 3.41/3.62 & Q != R
% 3.41/3.62 & P != R ) ) ).
% 3.41/3.62
% 3.41/3.62 %--------------------------------------------------------------------------
% 3.41/3.62 %-------------------------------------------
% 3.41/3.62 % Proof found
% 3.41/3.62 % SZS status Theorem for theBenchmark
% 3.41/3.62 % SZS output start Proof
% 3.41/3.62 %ClaNum:102(EqnAxiom:51)
% 3.41/3.62 %VarNum:387(SingletonVarNum:138)
% 3.41/3.62 %MaxLitNum:12
% 3.41/3.62 %MaxfuncDepth:2
% 3.41/3.62 %SharedTerms:11
% 3.41/3.62 %goalClause: 53 65
% 3.41/3.62 %singleGoalClaCount:1
% 3.41/3.62 [53]P2(a2,a8,a9,a10)
% 3.41/3.62 [52]P1(f1(x521),x521)
% 3.41/3.62 [54]P3(x541)+P4(f11(x541),x541)
% 3.41/3.62 [56]~P6(x561)+P4(f17(x561),x561)
% 3.41/3.62 [55]P6(x551)+~P4(x552,x551)
% 3.41/3.62 [58]~P3(x581)+~P4(x582,x581)
% 3.41/3.62 [59]~P4(x591,x592)+P5(x591,x592)
% 3.41/3.62 [60]~P1(x601,x602)+P5(x601,x602)
% 3.41/3.62 [61]~P1(x611,x612)+~P4(x611,x612)
% 3.41/3.62 [62]~P4(x622,x621)+~E(f3(x621,x622),x622)
% 3.41/3.62 [64]P8(x641,x642)+P5(f12(x642,x641),x641)
% 3.41/3.62 [69]~P4(x692,x691)+P4(f3(x691,x692),x691)
% 3.41/3.62 [76]P8(x761,x762)+~P5(f12(x762,x761),x762)
% 3.41/3.62 [83]~P1(x831,x832)+P7(x831,f19(x832,x831),f4(x832,x831))
% 3.41/3.62 [78]~P1(x782,x781)+E(f18(f19(x781,x782),f4(x781,x782)),x781)
% 3.41/3.62 [79]P5(x791,x792)+~P7(x791,x793,x792)
% 3.41/3.62 [80]P5(x801,x802)+~P7(x801,x802,x803)
% 3.41/3.62 [81]~P7(x813,x811,x812)+E(f6(x811,x812),f18(x811,x812))
% 3.41/3.62 [95]~E(x951,x952)+~P2(x953,x951,x954,x952)
% 3.41/3.62 [99]~P2(x992,x993,x994,x991)+P4(x991,f7(x992,x993,x994,x991))
% 3.41/3.62 [100]~P2(x1002,x1001,x1003,x1004)+P4(x1001,f7(x1002,x1001,x1003,x1004))
% 3.41/3.62 [101]~P2(x1012,x1013,x1011,x1014)+P1(x1011,f7(x1012,x1013,x1011,x1014))
% 3.41/3.62 [102]~P2(x1021,x1022,x1023,x1024)+P8(f7(x1021,x1022,x1023,x1024),x1021)
% 3.41/3.62 [57]P6(x571)+~P8(x571,x572)+E(x571,x572)
% 3.41/3.62 [63]P1(x631,x632)+~P5(x631,x632)+P4(x631,x632)
% 3.41/3.62 [72]~P5(x721,x722)+P4(x721,x722)+P5(x721,f13(x721,x722))
% 3.41/3.62 [73]~P5(x731,x732)+P4(x731,x732)+P5(x731,f15(x731,x732))
% 3.41/3.62 [74]~P5(x741,x742)+P4(x741,x742)+P8(f13(x741,x742),x742)
% 3.41/3.62 [75]~P5(x751,x752)+P4(x751,x752)+P8(f15(x751,x752),x752)
% 3.41/3.62 [77]E(x771,x772)+P5(f5(x771,x772),x772)+P5(f5(x771,x772),x771)
% 3.41/3.62 [82]E(x821,x822)+~P5(f5(x821,x822),x822)+~P5(f5(x821,x822),x821)
% 3.41/3.62 [84]~P5(x841,x842)+P4(x841,x842)+~P8(f13(x841,x842),f15(x841,x842))
% 3.41/3.62 [85]~P5(x851,x852)+P4(x851,x852)+~P8(f15(x851,x852),f13(x851,x852))
% 3.41/3.62 [66]~P5(x661,x663)+P5(x661,x662)+~P8(x663,x662)
% 3.41/3.62 [96]~P5(f14(x961,x962,x963),x963)+~P5(f14(x961,x962,x963),x961)+E(x961,f18(x962,x963))
% 3.41/3.62 [97]~P5(f14(x971,x972,x973),x972)+~P5(f14(x971,x972,x973),x971)+E(x971,f18(x972,x973))
% 3.41/3.62 [67]~P5(x671,x674)+P5(x671,x672)+~E(x672,f18(x673,x674))
% 3.41/3.62 [68]~P5(x681,x683)+P5(x681,x682)+~E(x682,f18(x683,x684))
% 3.41/3.62 [90]~P5(x901,x903)+~P5(x901,x902)+P7(x901,x902,x903)+P5(f16(x901,x902,x903),x903)
% 3.41/3.62 [91]~P5(x911,x913)+~P5(x911,x912)+P7(x911,x912,x913)+P5(f16(x911,x912,x913),x912)
% 3.41/3.62 [94]P5(f14(x941,x942,x943),x943)+P5(f14(x941,x942,x943),x942)+P5(f14(x941,x942,x943),x941)+E(x941,f18(x942,x943))
% 3.41/3.62 [87]~P5(x871,x872)+P4(x871,x872)+~P7(x874,x873,x872)+~P5(x871,x873)
% 3.41/3.62 [88]~P5(x881,x882)+P4(x881,x882)+~P7(x884,x882,x883)+~P5(x881,x883)
% 3.41/3.62 [71]~P5(x711,x714)+P5(x711,x712)+P5(x711,x713)+~E(x714,f18(x713,x712))
% 3.41/3.62 [98]~P5(x981,x983)+~P5(x981,x982)+P7(x981,x982,x983)+~P4(f16(x981,x982,x983),x983)+~P4(f16(x981,x982,x983),x982)
% 3.41/3.62 [89]~P3(x894)+~P4(x891,x892)+P7(x891,x892,x893)+~P7(x895,x892,x893)+~E(x894,f18(x892,x893))
% 3.41/3.62 [65]E(a9,a8)+E(a10,a8)+E(a10,a9)+~P5(a8,a2)+~P5(a9,a2)+~P5(a10,a2)
% 3.41/3.62 [70]E(x703,x701)+~P4(x701,x704)+~P4(x703,x704)+E(x701,x702)+E(x703,x702)+~P4(x702,x704)
% 3.41/3.62 [93]~P4(x932,x935)+~P4(x931,x935)+~P1(x934,x935)+E(x931,x932)+P2(x933,x931,x934,x932)+~P8(x935,x933)
% 3.41/3.62 [86]P8(x862,x861)+~P8(x862,x863)+~P5(x864,x862)+~P4(x864,x863)+P8(x861,x862)+~P8(x861,x863)+~P5(x864,x861)
% 3.41/3.62 [92]P8(x922,x921)+P8(x922,x923)+P8(x923,x921)+P8(x923,x922)+~P8(x922,x924)+~P8(x923,x924)+~P4(x925,x922)+~P4(x925,x923)+P8(x921,x922)+P8(x921,x923)+~P8(x921,x924)+~P4(x925,x921)
% 3.41/3.62 %EqnAxiom
% 3.41/3.62 [1]E(x11,x11)
% 3.41/3.62 [2]E(x22,x21)+~E(x21,x22)
% 3.41/3.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.41/3.62 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 3.41/3.62 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 3.41/3.62 [6]~E(x61,x62)+E(f17(x61),f17(x62))
% 3.41/3.62 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73))
% 3.41/3.62 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82))
% 3.41/3.62 [9]~E(x91,x92)+E(f12(x91,x93),f12(x92,x93))
% 3.41/3.62 [10]~E(x101,x102)+E(f12(x103,x101),f12(x103,x102))
% 3.41/3.62 [11]~E(x111,x112)+E(f18(x111,x113),f18(x112,x113))
% 3.41/3.62 [12]~E(x121,x122)+E(f18(x123,x121),f18(x123,x122))
% 3.41/3.62 [13]~E(x131,x132)+E(f7(x131,x133,x134,x135),f7(x132,x133,x134,x135))
% 3.41/3.62 [14]~E(x141,x142)+E(f7(x143,x141,x144,x145),f7(x143,x142,x144,x145))
% 3.41/3.62 [15]~E(x151,x152)+E(f7(x153,x154,x151,x155),f7(x153,x154,x152,x155))
% 3.41/3.62 [16]~E(x161,x162)+E(f7(x163,x164,x165,x161),f7(x163,x164,x165,x162))
% 3.41/3.62 [17]~E(x171,x172)+E(f14(x171,x173,x174),f14(x172,x173,x174))
% 3.41/3.62 [18]~E(x181,x182)+E(f14(x183,x181,x184),f14(x183,x182,x184))
% 3.41/3.62 [19]~E(x191,x192)+E(f14(x193,x194,x191),f14(x193,x194,x192))
% 3.41/3.62 [20]~E(x201,x202)+E(f16(x201,x203,x204),f16(x202,x203,x204))
% 3.41/3.62 [21]~E(x211,x212)+E(f16(x213,x211,x214),f16(x213,x212,x214))
% 3.41/3.62 [22]~E(x221,x222)+E(f16(x223,x224,x221),f16(x223,x224,x222))
% 3.41/3.62 [23]~E(x231,x232)+E(f13(x231,x233),f13(x232,x233))
% 3.41/3.62 [24]~E(x241,x242)+E(f13(x243,x241),f13(x243,x242))
% 3.41/3.62 [25]~E(x251,x252)+E(f15(x251,x253),f15(x252,x253))
% 3.41/3.62 [26]~E(x261,x262)+E(f15(x263,x261),f15(x263,x262))
% 3.41/3.62 [27]~E(x271,x272)+E(f4(x271,x273),f4(x272,x273))
% 3.41/3.62 [28]~E(x281,x282)+E(f4(x283,x281),f4(x283,x282))
% 3.41/3.62 [29]~E(x291,x292)+E(f5(x291,x293),f5(x292,x293))
% 3.41/3.62 [30]~E(x301,x302)+E(f5(x303,x301),f5(x303,x302))
% 3.41/3.62 [31]~E(x311,x312)+E(f19(x311,x313),f19(x312,x313))
% 3.41/3.62 [32]~E(x321,x322)+E(f19(x323,x321),f19(x323,x322))
% 3.41/3.62 [33]~E(x331,x332)+E(f6(x331,x333),f6(x332,x333))
% 3.41/3.63 [34]~E(x341,x342)+E(f6(x343,x341),f6(x343,x342))
% 3.41/3.63 [35]P1(x352,x353)+~E(x351,x352)+~P1(x351,x353)
% 3.41/3.63 [36]P1(x363,x362)+~E(x361,x362)+~P1(x363,x361)
% 3.41/3.63 [37]P2(x372,x373,x374,x375)+~E(x371,x372)+~P2(x371,x373,x374,x375)
% 3.41/3.63 [38]P2(x383,x382,x384,x385)+~E(x381,x382)+~P2(x383,x381,x384,x385)
% 3.41/3.63 [39]P2(x393,x394,x392,x395)+~E(x391,x392)+~P2(x393,x394,x391,x395)
% 3.41/3.63 [40]P2(x403,x404,x405,x402)+~E(x401,x402)+~P2(x403,x404,x405,x401)
% 3.41/3.63 [41]~P3(x411)+P3(x412)+~E(x411,x412)
% 3.41/3.63 [42]P4(x422,x423)+~E(x421,x422)+~P4(x421,x423)
% 3.41/3.63 [43]P4(x433,x432)+~E(x431,x432)+~P4(x433,x431)
% 3.41/3.63 [44]~P6(x441)+P6(x442)+~E(x441,x442)
% 3.41/3.63 [45]P5(x452,x453)+~E(x451,x452)+~P5(x451,x453)
% 3.41/3.63 [46]P5(x463,x462)+~E(x461,x462)+~P5(x463,x461)
% 3.41/3.63 [47]P7(x472,x473,x474)+~E(x471,x472)+~P7(x471,x473,x474)
% 3.41/3.63 [48]P7(x483,x482,x484)+~E(x481,x482)+~P7(x483,x481,x484)
% 3.41/3.63 [49]P7(x493,x494,x492)+~E(x491,x492)+~P7(x493,x494,x491)
% 3.41/3.63 [50]P8(x502,x503)+~E(x501,x502)+~P8(x501,x503)
% 3.41/3.63 [51]P8(x513,x512)+~E(x511,x512)+~P8(x513,x511)
% 3.41/3.63
% 3.41/3.63 %-------------------------------------------
% 3.41/3.63 cnf(103,plain,
% 3.41/3.63 (~E(a8,a10)),
% 3.41/3.63 inference(scs_inference,[],[53,95])).
% 3.41/3.63 cnf(104,plain,
% 3.41/3.63 (~P4(f1(x1041),x1041)),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61])).
% 3.41/3.63 cnf(105,plain,
% 3.41/3.63 (P5(f1(x1051),x1051)),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60])).
% 3.41/3.63 cnf(107,plain,
% 3.41/3.63 (P8(f7(a2,a8,a9,a10),a2)),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102])).
% 3.41/3.63 cnf(109,plain,
% 3.41/3.63 (P1(a9,f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102,101])).
% 3.41/3.63 cnf(111,plain,
% 3.41/3.63 (P4(a8,f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102,101,100])).
% 3.41/3.63 cnf(113,plain,
% 3.41/3.63 (P4(a10,f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102,101,100,99])).
% 3.41/3.63 cnf(115,plain,
% 3.41/3.63 (P7(f1(x1151),f19(x1151,f1(x1151)),f4(x1151,f1(x1151)))),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102,101,100,99,83])).
% 3.41/3.63 cnf(117,plain,
% 3.41/3.63 (~P4(f1(x1171),x1172)+~E(x1172,x1171)),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102,101,100,99,83,43])).
% 3.41/3.63 cnf(118,plain,
% 3.41/3.63 (~E(a8,f1(f7(a2,a8,a9,a10)))),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102,101,100,99,83,43,42])).
% 3.41/3.63 cnf(119,plain,
% 3.41/3.63 (P5(f1(f7(a2,a8,a9,a10)),a2)),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102,101,100,99,83,43,42,66])).
% 3.41/3.63 cnf(125,plain,
% 3.41/3.63 (~P7(x1251,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102,101,100,99,83,43,42,66,75,74,88])).
% 3.41/3.63 cnf(127,plain,
% 3.41/3.63 (P5(f16(f1(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102,101,100,99,83,43,42,66,75,74,88,91])).
% 3.41/3.63 cnf(129,plain,
% 3.41/3.63 (~P3(f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102,101,100,99,83,43,42,66,75,74,88,91,58])).
% 3.41/3.63 cnf(131,plain,
% 3.41/3.63 (P6(f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[53,52,95,61,60,102,101,100,99,83,43,42,66,75,74,88,91,58,55])).
% 3.41/3.63 cnf(150,plain,
% 3.41/3.63 (~E(f1(f7(a2,a8,a9,a10)),a8)),
% 3.41/3.63 inference(scs_inference,[],[118,2])).
% 3.41/3.63 cnf(151,plain,
% 3.41/3.63 (P5(a10,f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[118,113,2,59])).
% 3.41/3.63 cnf(153,plain,
% 3.41/3.63 (P4(f17(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[131,118,113,2,59,56])).
% 3.41/3.63 cnf(155,plain,
% 3.41/3.63 (P4(f11(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[131,129,118,113,2,59,56,54])).
% 3.41/3.63 cnf(157,plain,
% 3.41/3.63 (P4(f3(f7(a2,a8,a9,a10),a10),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[131,129,118,113,2,59,56,54,69])).
% 3.41/3.63 cnf(159,plain,
% 3.41/3.63 (~E(f3(f7(a2,a8,a9,a10),a10),a10)),
% 3.41/3.63 inference(scs_inference,[],[131,129,118,113,2,59,56,54,69,62])).
% 3.41/3.63 cnf(161,plain,
% 3.41/3.63 (P5(f16(a10,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[131,129,125,118,113,2,59,56,54,69,62,90])).
% 3.41/3.63 cnf(162,plain,
% 3.41/3.63 (~P7(x1621,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(rename_variables,[],[125])).
% 3.41/3.63 cnf(164,plain,
% 3.41/3.63 (P8(f15(f1(x1641),x1641),x1641)),
% 3.41/3.63 inference(scs_inference,[],[104,105,131,129,125,118,113,2,59,56,54,69,62,90,75])).
% 3.41/3.63 cnf(165,plain,
% 3.41/3.63 (P5(f1(x1651),x1651)),
% 3.41/3.63 inference(rename_variables,[],[105])).
% 3.41/3.63 cnf(167,plain,
% 3.41/3.63 (P5(f16(f16(a10,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[104,105,131,129,125,162,118,113,2,59,56,54,69,62,90,75,91])).
% 3.41/3.63 cnf(168,plain,
% 3.41/3.63 (~P7(x1681,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(rename_variables,[],[125])).
% 3.41/3.63 cnf(170,plain,
% 3.41/3.63 (P8(f13(f1(x1701),x1701),x1701)),
% 3.41/3.63 inference(scs_inference,[],[104,105,165,131,129,125,162,118,113,2,59,56,54,69,62,90,75,91,74])).
% 3.41/3.63 cnf(171,plain,
% 3.41/3.63 (P5(f1(x1711),x1711)),
% 3.41/3.63 inference(rename_variables,[],[105])).
% 3.41/3.63 cnf(173,plain,
% 3.41/3.63 (~P4(f16(f1(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[104,105,165,171,131,129,125,162,168,118,113,2,59,56,54,69,62,90,75,91,74,98])).
% 3.41/3.63 cnf(175,plain,
% 3.41/3.63 (P5(f1(x1751),x1751)),
% 3.41/3.63 inference(rename_variables,[],[105])).
% 3.41/3.63 cnf(176,plain,
% 3.41/3.63 (~P7(x1761,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(rename_variables,[],[125])).
% 3.41/3.63 cnf(178,plain,
% 3.41/3.63 (~P1(a10,f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[104,105,165,171,131,129,125,162,168,118,113,2,59,56,54,69,62,90,75,91,74,98,61])).
% 3.41/3.63 cnf(186,plain,
% 3.41/3.63 (~P4(f1(x1861),x1861)),
% 3.41/3.63 inference(rename_variables,[],[104])).
% 3.41/3.63 cnf(189,plain,
% 3.41/3.63 (~P4(f1(x1891),x1891)),
% 3.41/3.63 inference(rename_variables,[],[104])).
% 3.41/3.63 cnf(192,plain,
% 3.41/3.63 (~P4(f1(x1921),x1921)),
% 3.41/3.63 inference(rename_variables,[],[104])).
% 3.41/3.63 cnf(195,plain,
% 3.41/3.63 (~P4(f1(x1951),x1951)),
% 3.41/3.63 inference(rename_variables,[],[104])).
% 3.41/3.63 cnf(214,plain,
% 3.41/3.63 (~P8(x2141,a8)+P8(x2141,f3(f7(a2,a8,a9,a10),a10))+~E(f4(x2142,f1(x2142)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[52,115,104,186,189,192,195,105,165,171,175,131,129,125,162,168,176,127,107,118,113,111,103,2,59,56,54,69,62,90,75,91,74,98,61,49,48,35,63,73,72,85,84,87,93,70,95,42,80,79,51])).
% 3.41/3.63 cnf(243,plain,
% 3.41/3.63 (P5(f1(x2431),f15(f1(x2431),x2431))),
% 3.41/3.63 inference(scs_inference,[],[105,104,73])).
% 3.41/3.63 cnf(244,plain,
% 3.41/3.63 (P5(f1(x2441),x2441)),
% 3.41/3.63 inference(rename_variables,[],[105])).
% 3.41/3.63 cnf(246,plain,
% 3.41/3.63 (P5(f1(x2461),f13(f1(x2461),x2461))),
% 3.41/3.63 inference(scs_inference,[],[105,244,104,73,72])).
% 3.41/3.63 cnf(247,plain,
% 3.41/3.63 (P5(f1(x2471),x2471)),
% 3.41/3.63 inference(rename_variables,[],[105])).
% 3.41/3.63 cnf(249,plain,
% 3.41/3.63 (~P8(f15(f1(x2491),x2491),f13(f1(x2491),x2491))),
% 3.41/3.63 inference(scs_inference,[],[105,244,247,104,73,72,85])).
% 3.41/3.63 cnf(250,plain,
% 3.41/3.63 (P5(f1(x2501),x2501)),
% 3.41/3.63 inference(rename_variables,[],[105])).
% 3.41/3.63 cnf(252,plain,
% 3.41/3.63 (~E(x2521,f13(f1(x2521),x2521))),
% 3.41/3.63 inference(scs_inference,[],[164,105,244,247,104,73,72,85,51])).
% 3.41/3.63 cnf(254,plain,
% 3.41/3.63 (~P8(f13(f1(x2541),x2541),f15(f1(x2541),x2541))),
% 3.41/3.63 inference(scs_inference,[],[164,105,244,247,250,104,73,72,85,51,84])).
% 3.41/3.63 cnf(257,plain,
% 3.41/3.63 (P5(f16(f16(a10,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),a2)),
% 3.41/3.63 inference(scs_inference,[],[164,167,105,244,247,250,107,104,73,72,85,51,84,66])).
% 3.41/3.63 cnf(259,plain,
% 3.41/3.63 (~P4(a9,f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[164,167,109,105,244,247,250,107,104,73,72,85,51,84,66,61])).
% 3.41/3.63 cnf(261,plain,
% 3.41/3.63 (P5(a9,f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[164,167,109,105,244,247,250,107,104,73,72,85,51,84,66,61,60])).
% 3.41/3.63 cnf(264,plain,
% 3.41/3.63 (P1(f16(f1(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[164,173,167,109,105,244,247,250,131,127,107,104,73,72,85,51,84,66,61,60,44,63])).
% 3.41/3.63 cnf(266,plain,
% 3.41/3.63 (~E(f1(f7(a2,a8,a9,a10)),a10)),
% 3.41/3.63 inference(scs_inference,[],[52,164,173,167,178,109,105,244,247,250,131,127,107,104,73,72,85,51,84,66,61,60,44,63,35])).
% 3.41/3.63 cnf(267,plain,
% 3.41/3.63 (P2(a2,a8,f1(f7(a2,a8,a9,a10)),a10)),
% 3.41/3.63 inference(scs_inference,[],[52,103,164,173,167,178,109,105,244,247,250,131,127,111,107,104,113,73,72,85,51,84,66,61,60,44,63,35,93])).
% 3.41/3.63 cnf(270,plain,
% 3.41/3.63 (P5(f16(a9,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[52,103,164,173,167,178,109,105,244,247,250,131,125,127,111,107,104,113,73,72,85,51,84,66,61,60,44,63,35,93,90])).
% 3.41/3.63 cnf(278,plain,
% 3.41/3.63 (P2(a2,f3(f7(a2,a8,a9,a10),a10),f1(f7(a2,a8,a9,a10)),a10)),
% 3.41/3.63 inference(scs_inference,[],[52,157,159,107,113,93])).
% 3.41/3.63 cnf(279,plain,
% 3.41/3.63 (P1(f1(x2791),x2791)),
% 3.41/3.63 inference(rename_variables,[],[52])).
% 3.41/3.63 cnf(281,plain,
% 3.41/3.63 (P5(f16(f16(a9,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[52,270,157,159,125,107,113,93,91])).
% 3.41/3.63 cnf(284,plain,
% 3.41/3.63 (~P1(f17(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[52,153,270,157,159,125,107,113,93,91,61])).
% 3.41/3.63 cnf(286,plain,
% 3.41/3.63 (~E(x2861,f15(f1(x2861),x2861))),
% 3.41/3.63 inference(scs_inference,[],[52,153,254,270,157,159,170,125,107,113,93,91,61,51])).
% 3.41/3.63 cnf(291,plain,
% 3.41/3.63 (P8(f7(a2,a8,a9,a10),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[52,153,254,270,157,159,170,125,115,107,113,93,91,61,51,66,48,92])).
% 3.41/3.63 cnf(294,plain,
% 3.41/3.63 (P2(a2,x2941,f1(f7(a2,a8,a9,a10)),a10)+~E(a8,x2941)),
% 3.41/3.63 inference(scs_inference,[],[52,153,254,270,157,159,267,170,125,115,107,113,93,91,61,51,66,48,92,50,38])).
% 3.41/3.63 cnf(295,plain,
% 3.41/3.63 (P1(f1(x2951),x2952)+~E(x2951,x2952)),
% 3.41/3.63 inference(scs_inference,[],[52,279,153,254,270,157,159,267,170,125,115,107,113,93,91,61,51,66,48,92,50,38,36])).
% 3.41/3.63 cnf(315,plain,
% 3.41/3.63 (~E(a10,a8)),
% 3.41/3.63 inference(scs_inference,[],[103,2])).
% 3.41/3.63 cnf(316,plain,
% 3.41/3.63 (P7(a9,f19(f7(a2,a8,a9,a10),a9),f4(f7(a2,a8,a9,a10),a9))),
% 3.41/3.63 inference(scs_inference,[],[103,109,2,83])).
% 3.41/3.63 cnf(336,plain,
% 3.41/3.63 (~E(x3361,a10)+~E(a8,x3361)+~P5(a8,f13(f1(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10)))),
% 3.41/3.63 inference(scs_inference,[],[103,281,155,249,254,164,170,109,111,107,2,83,86,60,61,66,79,80,59,3])).
% 3.41/3.63 cnf(344,plain,
% 3.41/3.63 (E(a10,a9)+~P5(a8,a2)+~P5(a9,a2)+~P5(a10,a2)+E(a9,a8)),
% 3.41/3.63 inference(scs_inference,[],[315,65])).
% 3.41/3.63 cnf(345,plain,
% 3.41/3.63 (P5(a9,f4(f7(a2,a8,a9,a10),a9))),
% 3.41/3.63 inference(scs_inference,[],[316,79])).
% 3.41/3.63 cnf(347,plain,
% 3.41/3.63 (P5(a9,f19(f7(a2,a8,a9,a10),a9))),
% 3.41/3.63 inference(scs_inference,[],[316,79,80])).
% 3.41/3.63 cnf(349,plain,
% 3.41/3.63 (P4(a9,f19(f7(a2,a8,a9,a10),a9))),
% 3.41/3.63 inference(scs_inference,[],[316,79,80,88])).
% 3.41/3.63 cnf(351,plain,
% 3.41/3.63 (P5(f11(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[316,155,79,80,88,59])).
% 3.41/3.63 cnf(353,plain,
% 3.41/3.63 (~P4(f16(f16(a10,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[316,161,155,125,79,80,88,59,98])).
% 3.41/3.63 cnf(358,plain,
% 3.41/3.63 (P4(f3(f7(a2,a8,a9,a10),a8),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[104,316,161,155,125,111,79,80,88,59,98,42,69])).
% 3.41/3.63 cnf(360,plain,
% 3.41/3.63 (~E(f3(f7(a2,a8,a9,a10),a8),a8)),
% 3.41/3.63 inference(scs_inference,[],[104,316,161,155,125,111,79,80,88,59,98,42,69,62])).
% 3.41/3.63 cnf(362,plain,
% 3.41/3.63 (P8(f15(a9,f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[104,316,161,259,261,155,125,111,79,80,88,59,98,42,69,62,75])).
% 3.41/3.63 cnf(364,plain,
% 3.41/3.63 (P8(f13(a9,f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.63 inference(scs_inference,[],[104,316,161,259,261,155,125,111,79,80,88,59,98,42,69,62,75,74])).
% 3.41/3.63 cnf(373,plain,
% 3.41/3.63 (E(f15(f1(x3731),x3731),x3731)+P6(f15(f1(x3731),x3731))),
% 3.41/3.63 inference(scs_inference,[],[104,316,161,259,261,284,249,155,254,164,170,125,111,79,80,88,59,98,42,69,62,75,74,92,36,57])).
% 3.41/3.63 cnf(375,plain,
% 3.41/3.63 (P7(a9,f19(f7(a2,a8,a9,a10),a9),x3751)+~E(f4(f7(a2,a8,a9,a10),a9),x3751)),
% 3.41/3.63 inference(scs_inference,[],[104,316,161,259,261,284,249,155,254,164,170,125,111,79,80,88,59,98,42,69,62,75,74,92,36,57,49])).
% 3.41/3.63 cnf(378,plain,
% 3.41/3.63 (~P3(f19(f7(a2,a8,a9,a10),a9))),
% 3.41/3.63 inference(scs_inference,[],[349,58])).
% 3.41/3.63 cnf(386,plain,
% 3.41/3.63 (E(a10,f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.63 inference(scs_inference,[],[353,358,349,360,315,264,167,178,259,111,113,58,55,63,35,43,70])).
% 3.41/3.63 cnf(388,plain,
% 3.41/3.63 (P1(f1(a10),f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.63 inference(scs_inference,[],[353,358,349,360,315,264,167,178,259,111,52,113,58,55,63,35,43,70,36])).
% 3.41/3.63 cnf(390,plain,
% 3.41/3.64 (P5(f1(a10),f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.64 inference(scs_inference,[],[353,358,349,360,315,264,167,178,259,111,52,113,58,55,63,35,43,70,36,60])).
% 3.41/3.64 cnf(392,plain,
% 3.41/3.64 (E(f3(f7(a2,a8,a9,a10),a8),a10)),
% 3.41/3.64 inference(scs_inference,[],[353,358,349,360,315,264,167,178,259,111,52,113,58,55,63,35,43,70,36,60,2])).
% 3.41/3.64 cnf(393,plain,
% 3.41/3.64 (P8(f13(f1(a10),a10),f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.64 inference(scs_inference,[],[353,358,349,360,315,264,167,178,259,170,111,52,113,58,55,63,35,43,70,36,60,2,51])).
% 3.41/3.64 cnf(395,plain,
% 3.41/3.64 (~P4(f1(a10),f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.64 inference(scs_inference,[],[353,358,349,360,315,264,167,178,259,170,111,52,113,58,55,63,35,43,70,36,60,2,51,61])).
% 3.41/3.64 cnf(399,plain,
% 3.41/3.64 (~P8(f15(a9,f7(a2,a8,a9,a10)),f13(a9,f7(a2,a8,a9,a10)))),
% 3.41/3.64 inference(scs_inference,[],[353,358,349,360,315,264,167,178,259,261,170,111,52,113,58,55,63,35,43,70,36,60,2,51,61,336,85])).
% 3.41/3.64 cnf(401,plain,
% 3.41/3.64 (P5(a9,f15(a9,f7(a2,a8,a9,a10)))),
% 3.41/3.64 inference(scs_inference,[],[353,358,349,360,315,264,167,178,259,261,170,111,52,113,58,55,63,35,43,70,36,60,2,51,61,336,85,73])).
% 3.41/3.64 cnf(403,plain,
% 3.41/3.64 (P5(a9,f13(a9,f7(a2,a8,a9,a10)))),
% 3.41/3.64 inference(scs_inference,[],[353,358,349,360,315,264,167,178,259,261,170,111,52,113,58,55,63,35,43,70,36,60,2,51,61,336,85,73,72])).
% 3.41/3.64 cnf(428,plain,
% 3.41/3.64 (P5(f1(x4281),f4(x4281,f1(x4281)))),
% 3.41/3.64 inference(scs_inference,[],[115,79])).
% 3.41/3.64 cnf(431,plain,
% 3.41/3.64 (~P8(f13(a9,f7(a2,a8,a9,a10)),f15(a9,f7(a2,a8,a9,a10)))),
% 3.41/3.64 inference(scs_inference,[],[386,151,115,261,259,79,45,84])).
% 3.41/3.64 cnf(433,plain,
% 3.41/3.64 (P5(f1(x4331),f19(x4331,f1(x4331)))),
% 3.41/3.64 inference(scs_inference,[],[386,151,115,261,259,79,45,84,80])).
% 3.41/3.64 cnf(436,plain,
% 3.41/3.64 (P5(f3(f7(a2,a8,a9,a10),a10),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[386,392,151,157,178,115,261,259,79,45,84,80,35,59])).
% 3.41/3.64 cnf(438,plain,
% 3.41/3.64 (~P1(f3(f7(a2,a8,a9,a10),a10),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[386,392,151,157,178,115,261,259,79,45,84,80,35,59,61])).
% 3.41/3.64 cnf(450,plain,
% 3.41/3.64 (~P7(x4501,a10,a10)),
% 3.41/3.64 inference(scs_inference,[],[104,105,252,378,393,390,386,392,151,157,178,254,115,170,261,259,79,45,84,80,35,59,61,51,2,41,87,57,48])).
% 3.41/3.64 cnf(456,plain,
% 3.41/3.64 (P5(f16(f1(a10),a10,a10),a10)),
% 3.41/3.64 inference(scs_inference,[],[105,450,90])).
% 3.41/3.64 cnf(457,plain,
% 3.41/3.64 (~P7(x4571,a10,a10)),
% 3.41/3.64 inference(rename_variables,[],[450])).
% 3.41/3.64 cnf(460,plain,
% 3.41/3.64 (P4(f1(x4601),f19(x4601,f1(x4601)))),
% 3.41/3.64 inference(scs_inference,[],[105,428,433,450,115,90,88])).
% 3.41/3.64 cnf(466,plain,
% 3.41/3.64 (P5(f3(f7(a2,a8,a9,a10),a10),a2)),
% 3.41/3.64 inference(scs_inference,[],[105,107,428,433,436,450,386,115,90,88,95,66])).
% 3.41/3.64 cnf(469,plain,
% 3.41/3.64 (~E(a9,f3(f7(a2,a8,a9,a10),a10))),
% 3.41/3.64 inference(scs_inference,[],[105,107,428,433,438,436,450,457,386,392,109,115,90,88,95,66,49,35])).
% 3.41/3.64 cnf(470,plain,
% 3.41/3.64 (~E(f7(a2,a8,a9,a10),f15(a9,f7(a2,a8,a9,a10)))),
% 3.41/3.64 inference(scs_inference,[],[105,107,428,433,438,436,431,450,457,364,386,392,109,115,90,88,95,66,49,35,51])).
% 3.41/3.64 cnf(472,plain,
% 3.41/3.64 (~P2(x4721,f3(f7(a2,a8,a9,a10),a8),x4722,f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.64 inference(scs_inference,[],[105,107,428,433,438,436,431,450,457,278,364,386,392,109,115,90,88,95,66,49,35,51,39,38])).
% 3.41/3.64 cnf(474,plain,
% 3.41/3.64 (P5(f17(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[105,107,428,433,438,436,395,431,450,457,278,364,386,392,109,153,115,90,88,95,66,49,35,51,39,38,43,59])).
% 3.41/3.64 cnf(506,plain,
% 3.41/3.64 (P5(f16(f17(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[474,125,91])).
% 3.41/3.64 cnf(509,plain,
% 3.41/3.64 (~P2(x5091,f3(f7(a2,a8,a9,a10),a8),x5092,a10)),
% 3.41/3.64 inference(scs_inference,[],[474,472,386,125,91,40])).
% 3.41/3.64 cnf(510,plain,
% 3.41/3.64 (~E(f3(f7(a2,a8,a9,a10),a10),f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.64 inference(scs_inference,[],[474,472,278,386,125,91,40,38])).
% 3.41/3.64 cnf(511,plain,
% 3.41/3.64 (~P1(f1(x5111),f19(x5111,f1(x5111)))),
% 3.41/3.64 inference(scs_inference,[],[460,474,472,278,386,125,91,40,38,61])).
% 3.41/3.64 cnf(513,plain,
% 3.41/3.64 (P8(f15(f1(a10),a10),f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.64 inference(scs_inference,[],[460,474,472,278,164,386,125,91,40,38,61,51])).
% 3.41/3.64 cnf(515,plain,
% 3.41/3.64 (~E(f15(f1(x5151),x5151),x5151)),
% 3.41/3.64 inference(scs_inference,[],[286,460,474,472,278,164,386,125,91,40,38,61,51,2])).
% 3.41/3.64 cnf(518,plain,
% 3.41/3.64 (~E(f3(f19(x5181,f1(x5181)),f1(x5181)),f1(x5181))),
% 3.41/3.64 inference(scs_inference,[],[286,460,474,472,278,164,386,125,91,40,38,61,51,2,373,62])).
% 3.41/3.64 cnf(529,plain,
% 3.41/3.64 (~E(x5291,f19(x5291,f1(x5291)))),
% 3.41/3.64 inference(scs_inference,[],[511,295])).
% 3.41/3.64 cnf(533,plain,
% 3.41/3.64 (P4(a9,f4(f7(a2,a8,a9,a10),a9))),
% 3.41/3.64 inference(scs_inference,[],[511,515,456,347,345,392,316,386,295,3,46,87])).
% 3.41/3.64 cnf(544,plain,
% 3.41/3.64 (~E(a8,f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.64 inference(scs_inference,[],[511,515,513,509,456,246,388,390,347,345,395,249,392,316,386,295,3,46,87,88,38,36,48,51,294])).
% 3.41/3.64 cnf(585,plain,
% 3.41/3.64 (P5(a8,f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[428,460,105,111,104,117,87,59])).
% 3.41/3.64 cnf(590,plain,
% 3.41/3.64 (~E(f7(a2,a8,a9,a10),f13(a9,f7(a2,a8,a9,a10)))),
% 3.41/3.64 inference(scs_inference,[],[109,518,399,428,362,284,267,460,105,111,386,104,117,87,59,40,35,2,51])).
% 3.41/3.64 cnf(595,plain,
% 3.41/3.64 (~P4(f16(f17(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[109,518,399,428,474,362,173,284,267,460,164,105,392,111,125,386,104,117,87,59,40,35,2,51,214,42,49,98])).
% 3.41/3.64 cnf(609,plain,
% 3.41/3.64 (P2(f7(a2,a8,a9,a10),a8,a9,f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.64 inference(scs_inference,[],[109,111,544,291,358,93])).
% 3.41/3.64 cnf(615,plain,
% 3.41/3.64 (P1(f16(f17(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[109,111,595,544,533,291,401,506,358,316,261,259,93,43,87,47,63])).
% 3.41/3.64 cnf(617,plain,
% 3.41/3.64 (P5(f16(a8,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[109,111,595,544,533,585,291,401,506,358,316,261,259,125,93,43,87,47,63,91])).
% 3.41/3.64 cnf(631,plain,
% 3.41/3.64 (E(a8,f3(f7(a2,a8,a9,a10),a10))),
% 3.41/3.64 inference(scs_inference,[],[111,510,544,358,157,70])).
% 3.41/3.64 cnf(633,plain,
% 3.41/3.64 (~P2(x6331,a8,x6332,f3(f7(a2,a8,a9,a10),a10))),
% 3.41/3.64 inference(scs_inference,[],[111,510,544,358,157,70,95])).
% 3.41/3.64 cnf(637,plain,
% 3.41/3.64 (~P7(x6371,a2,f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[111,529,510,544,257,353,167,358,157,70,95,3,87])).
% 3.41/3.64 cnf(639,plain,
% 3.41/3.64 (~P1(a8,f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[111,529,510,544,257,353,167,358,157,70,95,3,87,61])).
% 3.41/3.64 cnf(646,plain,
% 3.41/3.64 (P8(f15(f1(a8),a8),f3(f7(a2,a8,a9,a10),a10))),
% 3.41/3.64 inference(scs_inference,[],[111,529,590,609,510,595,544,257,438,353,167,358,157,164,52,392,70,95,3,87,61,40,42,35,2,51])).
% 3.41/3.64 cnf(648,plain,
% 3.41/3.64 (P4(a10,f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[111,529,590,609,510,595,544,257,438,353,167,358,157,164,52,392,70,95,3,87,61,40,42,35,2,51,99])).
% 3.41/3.64 cnf(650,plain,
% 3.41/3.64 (P1(f1(a8),f3(f7(a2,a8,a9,a10),a10))),
% 3.41/3.64 inference(scs_inference,[],[111,529,590,609,510,595,544,257,438,353,167,358,157,164,52,392,70,95,3,87,61,40,42,35,2,51,99,295])).
% 3.41/3.64 cnf(653,plain,
% 3.41/3.64 (P2(f7(a2,a8,a9,a10),f3(f7(a2,a8,a9,a10),a10),a9,f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.64 inference(scs_inference,[],[111,529,590,617,609,510,595,544,257,438,353,167,358,157,164,52,392,70,95,3,87,61,40,42,35,2,51,99,295,74,38])).
% 3.41/3.64 cnf(654,plain,
% 3.41/3.64 (P1(a9,f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[111,529,590,617,609,510,595,544,257,438,353,167,358,157,164,52,392,70,95,3,87,61,40,42,35,2,51,99,295,74,38,101])).
% 3.41/3.64 cnf(656,plain,
% 3.41/3.64 (P4(a8,f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[111,529,590,617,609,510,595,544,257,438,353,167,358,157,164,52,392,70,95,3,87,61,40,42,35,2,51,99,295,74,38,101,100])).
% 3.41/3.64 cnf(658,plain,
% 3.41/3.64 (P8(f7(f7(a2,a8,a9,a10),a8,a9,a10),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[111,529,590,617,609,510,595,544,257,438,353,167,358,157,164,52,392,70,95,3,87,61,40,42,35,2,51,99,295,74,38,101,100,102])).
% 3.41/3.64 cnf(661,plain,
% 3.41/3.64 (~P4(f16(f16(a8,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[111,529,590,617,609,510,595,544,257,438,353,167,358,157,164,125,52,392,70,95,3,87,61,40,42,35,2,51,99,295,74,38,101,100,102,39,98])).
% 3.41/3.64 cnf(678,plain,
% 3.41/3.64 (P5(f1(a8),f3(f7(a2,a8,a9,a10),a10))),
% 3.41/3.64 inference(scs_inference,[],[646,243,66])).
% 3.41/3.64 cnf(681,plain,
% 3.41/3.64 (P4(f1(x6811),f4(x6811,f1(x6811)))),
% 3.41/3.64 inference(scs_inference,[],[646,433,428,243,115,66,87])).
% 3.41/3.64 cnf(685,plain,
% 3.41/3.64 (~P4(f1(a8),f3(f7(a2,a8,a9,a10),a10))),
% 3.41/3.64 inference(scs_inference,[],[646,650,433,428,243,115,66,87,61])).
% 3.41/3.64 cnf(688,plain,
% 3.41/3.64 (P4(f3(f7(a2,a8,a9,a10),a10),f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[631,646,650,653,656,433,428,243,115,392,66,87,61,40,42])).
% 3.41/3.64 cnf(692,plain,
% 3.41/3.64 (E(f3(f7(a2,a8,a9,a10),a10),a8)),
% 3.41/3.64 inference(scs_inference,[],[615,639,631,646,650,653,656,433,428,243,249,115,392,66,87,61,40,42,35,51,2])).
% 3.41/3.64 cnf(697,plain,
% 3.41/3.64 (~E(f4(x6971,f1(x6971)),x6971)),
% 3.41/3.64 inference(scs_inference,[],[615,639,631,646,650,653,656,433,428,243,249,115,392,66,87,61,40,42,35,51,2,58,55,117])).
% 3.41/3.64 cnf(698,plain,
% 3.41/3.64 (P5(f16(f11(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[615,639,631,646,650,653,656,433,351,428,243,249,115,125,392,66,87,61,40,42,35,51,2,58,55,117,90])).
% 3.41/3.64 cnf(699,plain,
% 3.41/3.64 (~P7(x6991,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(rename_variables,[],[125])).
% 3.41/3.64 cnf(701,plain,
% 3.41/3.64 (P8(f7(f7(a2,a8,a9,a10),a8,a9,a10),f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[615,658,639,631,646,650,653,656,433,351,428,243,249,115,125,392,66,87,61,40,42,35,51,2,58,55,117,90,92])).
% 3.41/3.64 cnf(703,plain,
% 3.41/3.64 (~E(a9,a8)),
% 3.41/3.64 inference(scs_inference,[],[615,658,639,631,646,469,650,653,656,433,351,428,243,249,115,125,392,66,87,61,40,42,35,51,2,58,55,117,90,92,3])).
% 3.41/3.64 cnf(710,plain,
% 3.41/3.64 (~P4(f16(f11(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[615,658,639,631,646,469,650,633,653,656,433,351,428,243,249,395,115,125,699,392,66,87,61,40,42,35,51,2,58,55,117,90,92,3,43,59,38,62,98])).
% 3.41/3.64 cnf(723,plain,
% 3.41/3.64 (~P5(a8,a2)+E(a10,a9)+~P5(a9,a2)+~P5(a10,a2)),
% 3.41/3.64 inference(scs_inference,[],[703,344])).
% 3.41/3.64 cnf(729,plain,
% 3.41/3.64 (~P7(x7291,f3(f7(a2,a8,a9,a10),a10),f3(f7(a2,a8,a9,a10),a10))),
% 3.41/3.64 inference(scs_inference,[],[678,685,692,436,125,91,95,87])).
% 3.41/3.64 cnf(733,plain,
% 3.41/3.64 (P2(a2,f3(f7(a2,a8,a9,a10),a10),a9,a10)),
% 3.41/3.64 inference(scs_inference,[],[681,678,685,692,436,631,53,125,91,95,87,61,38])).
% 3.41/3.64 cnf(735,plain,
% 3.41/3.64 (~E(x7351,f4(x7351,f1(x7351)))),
% 3.41/3.64 inference(scs_inference,[],[681,697,678,685,692,633,436,631,53,125,91,95,87,61,38,40,2])).
% 3.41/3.64 cnf(769,plain,
% 3.41/3.64 (P5(a9,f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[654,60])).
% 3.41/3.64 cnf(771,plain,
% 3.41/3.64 (P5(f16(f1(f7(a2,a8,a9,a10)),a2,f7(a2,a8,a9,a10)),a2)),
% 3.41/3.64 inference(scs_inference,[],[654,119,637,105,60,91])).
% 3.41/3.64 cnf(775,plain,
% 3.41/3.64 (P5(f16(f11(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),a2)),
% 3.41/3.64 inference(scs_inference,[],[698,654,119,637,105,107,60,91,66])).
% 3.41/3.64 cnf(779,plain,
% 3.41/3.64 (P5(a8,a2)),
% 3.41/3.64 inference(scs_inference,[],[698,688,654,119,637,466,692,105,107,60,91,66,59,45])).
% 3.41/3.64 cnf(780,plain,
% 3.41/3.64 (~P7(x7801,f13(a9,f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[698,688,654,119,637,403,466,692,105,261,259,107,60,91,66,59,45,87])).
% 3.41/3.64 cnf(782,plain,
% 3.41/3.64 (~P4(a9,f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[698,688,654,119,637,403,466,692,105,261,259,107,60,91,66,59,45,87,61])).
% 3.41/3.64 cnf(786,plain,
% 3.41/3.64 (~P7(x7861,a8,f3(f7(a2,a8,a9,a10),a10))),
% 3.41/3.64 inference(scs_inference,[],[698,729,688,654,119,637,403,466,692,631,105,261,259,107,60,91,66,59,45,87,61,68,48])).
% 3.41/3.64 cnf(808,plain,
% 3.41/3.64 (~P5(a9,a2)+E(a10,a9)+~P5(a10,a2)),
% 3.41/3.64 inference(scs_inference,[],[779,723])).
% 3.41/3.64 cnf(811,plain,
% 3.41/3.64 (~P4(f1(f7(a2,a8,a9,a10)),f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[266,648,710,150,698,315,656,63,70])).
% 3.41/3.64 cnf(815,plain,
% 3.41/3.64 (~P1(a10,f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[266,769,782,648,710,150,698,315,656,63,70,87,61])).
% 3.41/3.64 cnf(817,plain,
% 3.41/3.64 (P2(a2,f3(f7(a2,a8,a9,a10),a10),a9,f3(f7(a2,a8,a9,a10),a8))),
% 3.41/3.64 inference(scs_inference,[],[266,769,782,648,710,733,150,698,315,656,386,63,70,87,61,40])).
% 3.41/3.64 cnf(832,plain,
% 3.41/3.64 (~E(f4(f7(a2,a8,a9,a10),a9),f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[782,533,43])).
% 3.41/3.64 cnf(833,plain,
% 3.41/3.64 (P4(f3(f7(a2,a8,a9,a10),a8),f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[782,533,648,386,43,42])).
% 3.41/3.64 cnf(834,plain,
% 3.41/3.64 (~P1(f3(f7(a2,a8,a9,a10),a8),f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[815,782,533,648,386,392,43,42,35])).
% 3.41/3.64 cnf(883,plain,
% 3.41/3.64 (P5(f16(f1(a8),a8,a8),a8)),
% 3.41/3.64 inference(scs_inference,[],[832,833,834,811,779,786,654,631,105,59,42,49,35,2,90,91])).
% 3.41/3.64 cnf(895,plain,
% 3.41/3.64 (~P7(x8951,f7(a2,a8,a9,a10),a2)),
% 3.41/3.64 inference(scs_inference,[],[883,710,780,151,775,698,631,46,90,88])).
% 3.41/3.64 cnf(962,plain,
% 3.41/3.64 (~P1(a8,f7(f7(a2,a8,a9,a10),a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[817,688,692,631,38,61,35])).
% 3.41/3.64 cnf(973,plain,
% 3.41/3.64 (~P7(x9731,f19(a8,f1(a8)),f3(f7(a2,a8,a9,a10),a10))),
% 3.41/3.64 inference(scs_inference,[],[685,433,678,87])).
% 3.41/3.64 cnf(1007,plain,
% 3.41/3.64 (~E(f3(f7(a2,a8,a9,a10),a8),a9)),
% 3.41/3.64 inference(scs_inference,[],[125,661,782,833,617,90,63,42])).
% 3.41/3.64 cnf(1038,plain,
% 3.41/3.64 (P6(f4(x10381,f1(x10381)))),
% 3.41/3.64 inference(scs_inference,[],[735,973,701,654,648,681,631,49,93,55])).
% 3.41/3.64 cnf(1082,plain,
% 3.41/3.64 (~P1(f11(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[1038,470,962,246,811,685,678,833,155,63,88,70,44,36,43,61])).
% 3.41/3.64 cnf(1179,plain,
% 3.41/3.64 (~P4(f16(a10,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[151,125,98])).
% 3.41/3.64 cnf(1190,plain,
% 3.41/3.64 (P8(f13(f16(a10,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[1179,161,75,74])).
% 3.41/3.64 cnf(1194,plain,
% 3.41/3.64 (P1(f16(a10,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 3.41/3.64 inference(scs_inference,[],[1179,161,401,769,782,75,74,88,63])).
% 3.41/3.64 cnf(1196,plain,
% 3.41/3.64 (~P5(a10,a2)+P5(f16(a10,a2,f7(a2,a8,a9,a10)),a2)),
% 3.41/3.64 inference(scs_inference,[],[151,1179,161,401,769,637,782,75,74,88,63,91])).
% 3.41/3.64 cnf(1199,plain,
% 3.41/3.64 (P5(a10,a2)),
% 3.41/3.64 inference(scs_inference,[],[151,1179,161,401,769,637,782,107,75,74,88,63,91,66])).
% 3.41/3.64 cnf(1223,plain,
% 3.41/3.64 (~P5(a9,a2)+E(a10,a9)),
% 3.41/3.64 inference(scs_inference,[],[1199,808])).
% 3.41/3.64 cnf(1225,plain,
% 3.41/3.64 (~P7(x12251,f7(a2,a8,a9,a10),a2)),
% 3.41/3.64 inference(rename_variables,[],[895])).
% 3.41/3.64 cnf(1227,plain,
% 3.41/3.64 (~P7(x12271,f3(f7(a2,a8,a9,a10),a10),f4(a8,f1(a8)))),
% 3.41/3.64 inference(scs_inference,[],[151,1199,428,685,895,678,90,88])).
% 3.41/3.64 cnf(1231,plain,
% 3.41/3.64 (P5(f16(a10,a2,f7(a2,a8,a9,a10)),a2)),
% 3.41/3.64 inference(scs_inference,[],[151,1194,1199,1082,428,685,895,678,90,88,35,1196])).
% 3.41/3.64 cnf(1236,plain,
% 3.41/3.64 (P5(f3(f7(a2,a8,a9,a10),a8),a2)),
% 3.41/3.64 inference(scs_inference,[],[151,1194,1007,1199,1082,428,685,895,1225,678,386,392,90,88,35,1196,98,3,45])).
% 3.41/3.64 cnf(1237,plain,
% 3.41/3.64 (~P5(a9,a2)),
% 3.41/3.64 inference(scs_inference,[],[151,1194,1007,1199,1082,428,685,895,1225,678,386,392,90,88,35,1196,98,3,45,1223])).
% 3.41/3.64 cnf(1251,plain,
% 3.41/3.64 (~P8(f4(f7(a2,a8,a9,a10),a9),a2)),
% 3.41/3.64 inference(scs_inference,[],[1227,1237,345,631,71,59,46,48,66])).
% 3.41/3.64 cnf(1259,plain,
% 3.41/3.64 (P5(f3(f7(a2,a8,a9,a10),a8),x12591)+~E(x12591,f18(x12592,a2))),
% 3.41/3.64 inference(scs_inference,[],[1227,1190,1236,1237,345,164,631,71,59,46,48,66,80,57,50,67])).
% 3.41/3.64 cnf(1273,plain,
% 3.41/3.64 (P5(f3(f7(a2,a8,a9,a10),a8),f18(x12731,a2))),
% 3.41/3.64 inference(equality_inference,[],[1259])).
% 3.41/3.64 cnf(1278,plain,
% 3.41/3.64 (P5(a10,f18(x12781,a2))),
% 3.41/3.64 inference(scs_inference,[],[1273,347,1237,392,71,45])).
% 3.41/3.64 cnf(1282,plain,
% 3.41/3.64 (~E(f17(f7(a2,a8,a9,a10)),f16(a10,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)))),
% 3.41/3.64 inference(scs_inference,[],[153,1273,1179,347,1237,392,71,45,66,46,42])).
% 3.41/3.64 cnf(1287,plain,
% 3.41/3.64 (~P1(a9,f19(f7(a2,a8,a9,a10),a9))),
% 3.41/3.64 inference(scs_inference,[],[349,61])).
% 3.41/3.64 cnf(1290,plain,
% 3.41/3.64 (~P5(a9,f13(f1(a2),a2))),
% 3.41/3.64 inference(scs_inference,[],[1231,349,1237,170,61,45,66])).
% 3.41/3.64 cnf(1291,plain,
% 3.41/3.64 (P8(f13(f1(x12911),x12911),x12911)),
% 3.41/3.64 inference(rename_variables,[],[170])).
% 3.41/3.64 cnf(1293,plain,
% 3.41/3.64 (P8(f13(f1(a8),a8),f3(f7(a2,a8,a9,a10),a10))),
% 3.41/3.64 inference(scs_inference,[],[1231,349,1237,170,1291,631,61,45,66,51])).
% 3.41/3.64 cnf(1302,plain,
% 3.41/3.64 (~P8(f13(a9,f7(a2,a8,a9,a10)),f13(f1(a2),a2))),
% 3.41/3.64 inference(scs_inference,[],[1287,1290,403,654,36,66])).
% 3.41/3.64 cnf(1317,plain,
% 3.41/3.64 (P5(a10,x13171)+~E(x13171,f18(f18(x13172,a2),x13173))),
% 3.41/3.64 inference(scs_inference,[],[1282,1293,1287,1290,1278,771,1251,403,769,654,782,254,1237,170,36,66,45,51,60,57,87,50,46,2,68])).
% 3.41/3.64 cnf(1328,plain,
% 3.41/3.64 (P5(a10,f18(f18(x13281,a2),x13282))),
% 3.41/3.64 inference(equality_inference,[],[1317])).
% 3.41/3.64 cnf(1330,plain,
% 3.41/3.64 (~P7(x13301,f3(f7(a2,a8,a9,a10),a10),f19(a8,f1(a8)))),
% 3.41/3.64 inference(scs_inference,[],[433,685,678,88])).
% 3.41/3.64 cnf(1337,plain,
% 3.41/3.64 (~P7(a9,x13371,f13(f1(a2),a2))),
% 3.41/3.64 inference(scs_inference,[],[1302,1328,1290,433,685,678,345,364,386,88,66,45,51,79])).
% 3.41/3.64 cnf(1378,plain,
% 3.41/3.64 ($false),
% 3.41/3.64 inference(scs_inference,[],[157,159,1330,1337,1194,291,261,1237,113,107,631,375,93,48,66]),
% 3.41/3.64 ['proof']).
% 3.41/3.64 % SZS output end Proof
% 3.41/3.64 % Total time :2.980000s
%------------------------------------------------------------------------------