TSTP Solution File: GEO081+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : Wed Aug 30 22:42:50 EDT 2023
% Result : Theorem 1.00s 1.05s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 20:47:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.57 start to proof:theBenchmark
% 1.00/1.05 %-------------------------------------------
% 1.00/1.05 % File :CSE---1.6
% 1.00/1.05 % Problem :theBenchmark
% 1.00/1.05 % Transform :cnf
% 1.00/1.05 % Format :tptp:raw
% 1.00/1.05 % Command :java -jar mcs_scs.jar %d %s
% 1.00/1.05
% 1.00/1.05 % Result :Theorem 0.420000s
% 1.00/1.05 % Output :CNFRefutation 0.420000s
% 1.00/1.05 %-------------------------------------------
% 1.00/1.05 %--------------------------------------------------------------------------
% 1.00/1.05 % File : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% 1.00/1.05 % Domain : Geometry (Oriented curves)
% 1.00/1.05 % Problem : Transitivity of part_of
% 1.00/1.05 % Version : [EHK99] axioms.
% 1.00/1.05 % English :
% 1.00/1.05
% 1.00/1.05 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 1.00/1.05 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 1.00/1.05 % Source : [KE99]
% 1.00/1.05 % Names : Theorem 2.5 [KE99]
% 1.00/1.05
% 1.00/1.05 % Status : Theorem
% 1.00/1.05 % Rating : 0.11 v8.1.0, 0.06 v7.4.0, 0.10 v7.2.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.04 v6.1.0, 0.17 v6.0.0, 0.22 v5.5.0, 0.15 v5.4.0, 0.14 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.08 v4.1.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.08 v3.7.0, 0.05 v3.3.0, 0.14 v3.2.0, 0.27 v3.1.0, 0.22 v2.7.0, 0.17 v2.5.0, 0.00 v2.4.0
% 1.00/1.05 % Syntax : Number of formulae : 17 ( 1 unt; 0 def)
% 1.00/1.05 % Number of atoms : 70 ( 10 equ)
% 1.00/1.05 % Maximal formula atoms : 12 ( 4 avg)
% 1.00/1.05 % Number of connectives : 57 ( 4 ~; 9 |; 22 &)
% 1.00/1.05 % ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% 1.00/1.05 % Maximal formula depth : 12 ( 7 avg)
% 1.00/1.05 % Maximal term depth : 2 ( 1 avg)
% 1.00/1.05 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 1.00/1.05 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 1.00/1.05 % Number of variables : 56 ( 47 !; 9 ?)
% 1.00/1.05 % SPC : FOF_THM_RFO_SEQ
% 1.00/1.05
% 1.00/1.05 % Comments :
% 1.00/1.05 %--------------------------------------------------------------------------
% 1.00/1.05 %----Include simple curve axioms
% 1.00/1.05 include('Axioms/GEO004+0.ax').
% 1.00/1.05 %--------------------------------------------------------------------------
% 1.00/1.05 fof(part_of_transitivity,conjecture,
% 1.00/1.05 ! [C1,C2,C3] :
% 1.00/1.05 ( ( part_of(C1,C2)
% 1.00/1.05 & part_of(C2,C3) )
% 1.00/1.05 => part_of(C1,C3) ) ).
% 1.00/1.05
% 1.00/1.05 %--------------------------------------------------------------------------
% 1.00/1.05 %-------------------------------------------
% 1.00/1.05 % Proof found
% 1.00/1.05 % SZS status Theorem for theBenchmark
% 1.00/1.05 % SZS output start Proof
% 1.00/1.05 %ClaNum:89(EqnAxiom:43)
% 1.00/1.05 %VarNum:331(SingletonVarNum:113)
% 1.00/1.05 %MaxLitNum:12
% 1.00/1.05 %MaxfuncDepth:2
% 1.00/1.05 %SharedTerms:6
% 1.00/1.05 %goalClause: 44 45 47
% 1.00/1.05 %singleGoalClaCount:3
% 1.00/1.05 [44]P1(a1,a6)
% 1.00/1.05 [45]P1(a6,a7)
% 1.00/1.05 [47]~P1(a1,a7)
% 1.00/1.05 [46]P2(f8(x461),x461)
% 1.00/1.06 [48]P3(x481)+P4(f9(x481),x481)
% 1.00/1.06 [50]~P6(x501)+P4(f15(x501),x501)
% 1.00/1.06 [49]P6(x491)+~P4(x492,x491)
% 1.00/1.06 [52]~P3(x521)+~P4(x522,x521)
% 1.00/1.06 [53]~P4(x531,x532)+P5(x531,x532)
% 1.00/1.06 [54]~P2(x541,x542)+P5(x541,x542)
% 1.00/1.06 [55]~P2(x551,x552)+~P4(x551,x552)
% 1.00/1.06 [56]~P4(x562,x561)+~E(f2(x561,x562),x562)
% 1.00/1.06 [58]P1(x581,x582)+P5(f10(x582,x581),x581)
% 1.00/1.06 [62]~P4(x622,x621)+P4(f2(x621,x622),x621)
% 1.00/1.06 [69]P1(x691,x692)+~P5(f10(x692,x691),x692)
% 1.00/1.06 [76]~P2(x761,x762)+P7(x761,f17(x762,x761),f3(x762,x761))
% 1.00/1.06 [71]~P2(x712,x711)+E(f16(f17(x711,x712),f3(x711,x712)),x711)
% 1.00/1.06 [72]P5(x721,x722)+~P7(x721,x723,x722)
% 1.00/1.06 [73]P5(x731,x732)+~P7(x731,x732,x733)
% 1.00/1.06 [74]~P7(x743,x741,x742)+E(f5(x741,x742),f16(x741,x742))
% 1.00/1.06 [51]P6(x511)+~P1(x511,x512)+E(x511,x512)
% 1.00/1.06 [57]P2(x571,x572)+~P5(x571,x572)+P4(x571,x572)
% 1.00/1.06 [65]~P5(x651,x652)+P4(x651,x652)+P5(x651,f11(x651,x652))
% 1.00/1.06 [66]~P5(x661,x662)+P4(x661,x662)+P5(x661,f13(x661,x662))
% 1.00/1.06 [67]~P5(x671,x672)+P4(x671,x672)+P1(f11(x671,x672),x672)
% 1.00/1.06 [68]~P5(x681,x682)+P4(x681,x682)+P1(f13(x681,x682),x682)
% 1.00/1.06 [70]E(x701,x702)+P5(f4(x701,x702),x702)+P5(f4(x701,x702),x701)
% 1.00/1.06 [75]E(x751,x752)+~P5(f4(x751,x752),x752)+~P5(f4(x751,x752),x751)
% 1.00/1.06 [77]~P5(x771,x772)+P4(x771,x772)+~P1(f11(x771,x772),f13(x771,x772))
% 1.00/1.06 [78]~P5(x781,x782)+P4(x781,x782)+~P1(f13(x781,x782),f11(x781,x782))
% 1.00/1.06 [59]~P5(x591,x593)+P5(x591,x592)+~P1(x593,x592)
% 1.00/1.06 [87]~P5(f12(x871,x872,x873),x873)+~P5(f12(x871,x872,x873),x871)+E(x871,f16(x872,x873))
% 1.00/1.06 [88]~P5(f12(x881,x882,x883),x882)+~P5(f12(x881,x882,x883),x881)+E(x881,f16(x882,x883))
% 1.00/1.06 [60]~P5(x601,x604)+P5(x601,x602)+~E(x602,f16(x603,x604))
% 1.00/1.06 [61]~P5(x611,x613)+P5(x611,x612)+~E(x612,f16(x613,x614))
% 1.00/1.06 [83]~P5(x831,x833)+~P5(x831,x832)+P7(x831,x832,x833)+P5(f14(x831,x832,x833),x833)
% 1.00/1.06 [84]~P5(x841,x843)+~P5(x841,x842)+P7(x841,x842,x843)+P5(f14(x841,x842,x843),x842)
% 1.00/1.06 [86]P5(f12(x861,x862,x863),x863)+P5(f12(x861,x862,x863),x862)+P5(f12(x861,x862,x863),x861)+E(x861,f16(x862,x863))
% 1.00/1.06 [80]~P5(x801,x802)+P4(x801,x802)+~P7(x804,x803,x802)+~P5(x801,x803)
% 1.00/1.06 [81]~P5(x811,x812)+P4(x811,x812)+~P7(x814,x812,x813)+~P5(x811,x813)
% 1.00/1.06 [64]~P5(x641,x644)+P5(x641,x642)+P5(x641,x643)+~E(x644,f16(x643,x642))
% 1.00/1.06 [89]~P5(x891,x893)+~P5(x891,x892)+P7(x891,x892,x893)+~P4(f14(x891,x892,x893),x893)+~P4(f14(x891,x892,x893),x892)
% 1.00/1.06 [82]~P3(x824)+~P4(x821,x822)+P7(x821,x822,x823)+~P7(x825,x822,x823)+~E(x824,f16(x822,x823))
% 1.00/1.06 [63]E(x633,x631)+~P4(x631,x634)+~P4(x633,x634)+E(x631,x632)+E(x633,x632)+~P4(x632,x634)
% 1.00/1.06 [79]P1(x792,x791)+~P1(x792,x793)+~P5(x794,x792)+~P4(x794,x793)+P1(x791,x792)+~P1(x791,x793)+~P5(x794,x791)
% 1.00/1.06 [85]P1(x852,x851)+P1(x852,x853)+P1(x853,x851)+P1(x853,x852)+~P1(x852,x854)+~P1(x853,x854)+~P4(x855,x852)+~P4(x855,x853)+P1(x851,x852)+P1(x851,x853)+~P1(x851,x854)+~P4(x855,x851)
% 1.00/1.06 %EqnAxiom
% 1.00/1.06 [1]E(x11,x11)
% 1.00/1.06 [2]E(x22,x21)+~E(x21,x22)
% 1.00/1.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.00/1.06 [4]~E(x41,x42)+E(f8(x41),f8(x42))
% 1.00/1.06 [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 1.00/1.06 [6]~E(x61,x62)+E(f15(x61),f15(x62))
% 1.00/1.06 [7]~E(x71,x72)+E(f2(x71,x73),f2(x72,x73))
% 1.00/1.06 [8]~E(x81,x82)+E(f2(x83,x81),f2(x83,x82))
% 1.00/1.06 [9]~E(x91,x92)+E(f10(x91,x93),f10(x92,x93))
% 1.00/1.06 [10]~E(x101,x102)+E(f10(x103,x101),f10(x103,x102))
% 1.00/1.06 [11]~E(x111,x112)+E(f16(x111,x113),f16(x112,x113))
% 1.00/1.06 [12]~E(x121,x122)+E(f16(x123,x121),f16(x123,x122))
% 1.00/1.06 [13]~E(x131,x132)+E(f12(x131,x133,x134),f12(x132,x133,x134))
% 1.00/1.06 [14]~E(x141,x142)+E(f12(x143,x141,x144),f12(x143,x142,x144))
% 1.00/1.06 [15]~E(x151,x152)+E(f12(x153,x154,x151),f12(x153,x154,x152))
% 1.00/1.06 [16]~E(x161,x162)+E(f14(x161,x163,x164),f14(x162,x163,x164))
% 1.00/1.06 [17]~E(x171,x172)+E(f14(x173,x171,x174),f14(x173,x172,x174))
% 1.00/1.06 [18]~E(x181,x182)+E(f14(x183,x184,x181),f14(x183,x184,x182))
% 1.00/1.06 [19]~E(x191,x192)+E(f13(x191,x193),f13(x192,x193))
% 1.00/1.06 [20]~E(x201,x202)+E(f13(x203,x201),f13(x203,x202))
% 1.00/1.06 [21]~E(x211,x212)+E(f11(x211,x213),f11(x212,x213))
% 1.00/1.06 [22]~E(x221,x222)+E(f11(x223,x221),f11(x223,x222))
% 1.00/1.06 [23]~E(x231,x232)+E(f3(x231,x233),f3(x232,x233))
% 1.00/1.06 [24]~E(x241,x242)+E(f3(x243,x241),f3(x243,x242))
% 1.00/1.06 [25]~E(x251,x252)+E(f4(x251,x253),f4(x252,x253))
% 1.00/1.06 [26]~E(x261,x262)+E(f4(x263,x261),f4(x263,x262))
% 1.00/1.06 [27]~E(x271,x272)+E(f17(x271,x273),f17(x272,x273))
% 1.00/1.06 [28]~E(x281,x282)+E(f17(x283,x281),f17(x283,x282))
% 1.00/1.06 [29]~E(x291,x292)+E(f5(x291,x293),f5(x292,x293))
% 1.00/1.06 [30]~E(x301,x302)+E(f5(x303,x301),f5(x303,x302))
% 1.00/1.06 [31]P1(x312,x313)+~E(x311,x312)+~P1(x311,x313)
% 1.00/1.06 [32]P1(x323,x322)+~E(x321,x322)+~P1(x323,x321)
% 1.00/1.06 [33]P4(x332,x333)+~E(x331,x332)+~P4(x331,x333)
% 1.00/1.06 [34]P4(x343,x342)+~E(x341,x342)+~P4(x343,x341)
% 1.00/1.06 [35]P2(x352,x353)+~E(x351,x352)+~P2(x351,x353)
% 1.00/1.06 [36]P2(x363,x362)+~E(x361,x362)+~P2(x363,x361)
% 1.00/1.06 [37]P5(x372,x373)+~E(x371,x372)+~P5(x371,x373)
% 1.00/1.06 [38]P5(x383,x382)+~E(x381,x382)+~P5(x383,x381)
% 1.00/1.06 [39]~P3(x391)+P3(x392)+~E(x391,x392)
% 1.00/1.06 [40]P7(x402,x403,x404)+~E(x401,x402)+~P7(x401,x403,x404)
% 1.00/1.06 [41]P7(x413,x412,x414)+~E(x411,x412)+~P7(x413,x411,x414)
% 1.00/1.06 [42]P7(x423,x424,x422)+~E(x421,x422)+~P7(x423,x424,x421)
% 1.00/1.06 [43]~P6(x431)+P6(x432)+~E(x431,x432)
% 1.00/1.06
% 1.00/1.06 %-------------------------------------------
% 1.00/1.06 cnf(91,plain,
% 1.00/1.06 (~E(a6,a1)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,32,31])).
% 1.00/1.06 cnf(95,plain,
% 1.00/1.06 (~P4(f8(x951),x951)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55])).
% 1.00/1.06 cnf(97,plain,
% 1.00/1.06 (P5(f8(x971),x971)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54])).
% 1.00/1.06 cnf(99,plain,
% 1.00/1.06 (P4(f15(a6),a6)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50])).
% 1.00/1.06 cnf(101,plain,
% 1.00/1.06 (~P5(f10(a7,a1),a7)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69])).
% 1.00/1.06 cnf(103,plain,
% 1.00/1.06 (P4(f2(a6,f15(a6)),a6)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62])).
% 1.00/1.06 cnf(105,plain,
% 1.00/1.06 (P5(f10(a7,a1),a1)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58])).
% 1.00/1.06 cnf(109,plain,
% 1.00/1.06 (P7(f8(x1091),f17(x1091,f8(x1091)),f3(x1091,f8(x1091)))),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76])).
% 1.00/1.06 cnf(120,plain,
% 1.00/1.06 (P1(f11(f8(a7),a7),a7)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67])).
% 1.00/1.06 cnf(128,plain,
% 1.00/1.06 (~P1(f11(f8(a7),a7),f13(f8(a7),a7))),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77])).
% 1.00/1.06 cnf(130,plain,
% 1.00/1.06 (~P7(x1301,a7,a7)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81])).
% 1.00/1.06 cnf(132,plain,
% 1.00/1.06 (~E(a1,f16(a7,a7))),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81,64])).
% 1.00/1.06 cnf(134,plain,
% 1.00/1.06 (P5(f14(f8(a7),a7,a7),a7)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81,64,84])).
% 1.00/1.06 cnf(136,plain,
% 1.00/1.06 (P5(f8(a7),f17(a7,f8(a7)))),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81,64,84,73])).
% 1.00/1.06 cnf(138,plain,
% 1.00/1.06 (P5(f8(a7),f3(a7,f8(a7)))),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81,64,84,73,72])).
% 1.00/1.06 cnf(142,plain,
% 1.00/1.06 (~P3(a6)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81,64,84,73,72,53,52])).
% 1.00/1.06 cnf(145,plain,
% 1.00/1.06 (~P5(f10(a7,a1),a6)),
% 1.00/1.06 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81,64,84,73,72,53,52,39,59])).
% 1.00/1.06 cnf(163,plain,
% 1.00/1.06 (P4(f9(a6),a6)),
% 1.00/1.06 inference(scs_inference,[],[142,48])).
% 1.00/1.06 cnf(166,plain,
% 1.00/1.06 (~P4(f8(x1661),x1661)),
% 1.00/1.06 inference(rename_variables,[],[95])).
% 1.00/1.06 cnf(167,plain,
% 1.00/1.06 (P5(f8(a1),a6)),
% 1.00/1.06 inference(scs_inference,[],[44,95,97,103,142,48,33,59])).
% 1.00/1.06 cnf(168,plain,
% 1.00/1.06 (P5(f8(x1681),x1681)),
% 1.00/1.06 inference(rename_variables,[],[97])).
% 1.00/1.06 cnf(174,plain,
% 1.00/1.06 (P1(f11(f8(x1741),x1741),x1741)),
% 1.00/1.06 inference(scs_inference,[],[44,95,166,97,168,145,105,103,142,48,33,59,61,60,67])).
% 1.00/1.06 cnf(175,plain,
% 1.00/1.06 (P5(f8(x1751),x1751)),
% 1.00/1.06 inference(rename_variables,[],[97])).
% 1.00/1.06 cnf(178,plain,
% 1.00/1.06 (P5(f8(x1781),x1781)),
% 1.00/1.06 inference(rename_variables,[],[97])).
% 1.00/1.06 cnf(180,plain,
% 1.00/1.06 (P5(f8(x1801),f11(f8(x1801),x1801))),
% 1.00/1.06 inference(scs_inference,[],[44,95,166,97,168,175,178,145,105,103,142,48,33,59,61,60,67,66,65])).
% 1.00/1.06 cnf(181,plain,
% 1.00/1.06 (P5(f8(x1811),x1811)),
% 1.00/1.06 inference(rename_variables,[],[97])).
% 1.00/1.06 cnf(187,plain,
% 1.00/1.06 (~P7(f10(a7,a1),a6,x1871)),
% 1.00/1.06 inference(scs_inference,[],[44,95,166,97,168,175,178,145,105,103,142,48,33,59,61,60,67,66,65,64,54,73])).
% 1.00/1.06 cnf(196,plain,
% 1.00/1.06 (P1(f13(f8(x1961),x1961),x1961)),
% 1.00/1.06 inference(scs_inference,[],[44,95,166,97,168,175,178,181,128,145,105,103,120,142,48,33,59,61,60,67,66,65,64,54,73,72,55,53,32,68])).
% 1.00/1.06 cnf(197,plain,
% 1.00/1.06 (P5(f8(x1971),x1971)),
% 1.00/1.06 inference(rename_variables,[],[97])).
% 1.00/1.06 cnf(201,plain,
% 1.00/1.06 (P5(f8(x2011),x2011)),
% 1.00/1.06 inference(rename_variables,[],[97])).
% 1.00/1.06 cnf(202,plain,
% 1.00/1.06 (~P7(x2021,a7,a7)),
% 1.00/1.06 inference(rename_variables,[],[130])).
% 1.00/1.06 cnf(204,plain,
% 1.00/1.06 (~P1(f13(f8(x2041),x2041),f11(f8(x2041),x2041))),
% 1.00/1.06 inference(scs_inference,[],[44,95,166,97,168,175,178,181,197,201,128,145,105,130,103,120,142,48,33,59,61,60,67,66,65,64,54,73,72,55,53,32,68,89,78])).
% 1.00/1.06 cnf(205,plain,
% 1.00/1.06 (P5(f8(x2051),x2051)),
% 1.00/1.06 inference(rename_variables,[],[97])).
% 1.00/1.06 cnf(207,plain,
% 1.00/1.06 (~P1(f11(f8(x2071),x2071),f13(f8(x2071),x2071))),
% 1.00/1.06 inference(scs_inference,[],[44,95,166,97,168,175,178,181,197,201,205,128,145,105,130,103,120,142,48,33,59,61,60,67,66,65,64,54,73,72,55,53,32,68,89,78,77])).
% 1.00/1.06 cnf(210,plain,
% 1.00/1.06 (P4(f8(a7),f17(a7,f8(a7)))),
% 1.00/1.06 inference(scs_inference,[],[44,109,95,166,97,168,175,178,181,197,201,205,128,136,138,145,105,130,103,120,142,48,33,59,61,60,67,66,65,64,54,73,72,55,53,32,68,89,78,77,81])).
% 1.00/1.06 cnf(217,plain,
% 1.00/1.06 (P2(f14(f8(a7),a7,a7),a7)),
% 1.00/1.06 inference(scs_inference,[],[44,46,109,95,166,97,168,175,178,181,197,201,205,128,134,136,138,145,105,130,202,103,120,142,48,33,59,61,60,67,66,65,64,54,73,72,55,53,32,68,89,78,77,81,42,35,34,57])).
% 1.00/1.06 cnf(241,plain,
% 1.00/1.06 (P5(f8(a1),a7)),
% 1.00/1.06 inference(scs_inference,[],[45,167,59])).
% 1.00/1.06 cnf(253,plain,
% 1.00/1.06 (~P2(f10(a7,a1),a7)),
% 1.00/1.06 inference(scs_inference,[],[45,167,187,130,101,145,59,73,72,53,41,84,54])).
% 1.00/1.06 cnf(255,plain,
% 1.00/1.06 (~P2(f8(a7),f17(a7,f8(a7)))),
% 1.00/1.06 inference(scs_inference,[],[45,167,187,210,130,101,145,59,73,72,53,41,84,54,55])).
% 1.00/1.06 cnf(263,plain,
% 1.00/1.06 (P5(f8(x2631),f17(x2631,f8(x2631)))),
% 1.00/1.06 inference(scs_inference,[],[46,217,255,253,109,36,35,73])).
% 1.00/1.06 cnf(265,plain,
% 1.00/1.06 (~P5(f10(a7,a1),f11(f8(a6),a6))),
% 1.00/1.06 inference(scs_inference,[],[46,174,217,255,253,109,145,36,35,73,59])).
% 1.00/1.06 cnf(268,plain,
% 1.00/1.06 (P5(f8(x2681),f3(x2681,f8(x2681)))),
% 1.00/1.06 inference(scs_inference,[],[46,174,217,255,253,109,145,36,35,73,59,72])).
% 1.00/1.06 cnf(270,plain,
% 1.00/1.06 (P5(f9(a6),a6)),
% 1.00/1.06 inference(scs_inference,[],[46,174,217,255,253,163,109,145,36,35,73,59,72,53])).
% 1.00/1.06 cnf(306,plain,
% 1.00/1.06 (P5(f15(a6),a6)),
% 1.00/1.06 inference(scs_inference,[],[91,270,99,45,2,59,53])).
% 1.00/1.06 cnf(310,plain,
% 1.00/1.06 (P6(f17(a7,f8(a7)))),
% 1.00/1.06 inference(scs_inference,[],[91,132,270,210,99,45,2,59,53,86,49])).
% 1.00/1.06 cnf(312,plain,
% 1.00/1.06 (P6(a1)),
% 1.00/1.06 inference(scs_inference,[],[91,132,270,210,99,45,44,2,59,53,86,49,51])).
% 1.00/1.06 cnf(341,plain,
% 1.00/1.06 (P4(f15(a1),a1)),
% 1.00/1.06 inference(scs_inference,[],[312,265,105,61,60,50])).
% 1.00/1.06 cnf(344,plain,
% 1.00/1.06 (P1(f11(f8(x3441),x3441),x3441)),
% 1.00/1.06 inference(rename_variables,[],[174])).
% 1.00/1.06 cnf(345,plain,
% 1.00/1.06 (~P5(f10(a7,a1),f11(f8(a7),a7))),
% 1.00/1.06 inference(scs_inference,[],[312,207,174,344,265,101,105,61,60,50,32,59])).
% 1.00/1.06 cnf(373,plain,
% 1.00/1.06 (P4(f8(x3731),f3(x3731,f8(x3731)))),
% 1.00/1.06 inference(scs_inference,[],[263,268,109,80])).
% 1.00/1.06 cnf(379,plain,
% 1.00/1.06 (P5(f15(a6),a7)),
% 1.00/1.06 inference(scs_inference,[],[263,268,306,204,196,109,45,80,32,59])).
% 1.00/1.06 cnf(381,plain,
% 1.00/1.07 (P5(f15(a1),a1)),
% 1.00/1.07 inference(scs_inference,[],[263,268,306,341,204,196,109,45,80,32,59,53])).
% 1.00/1.07 cnf(387,plain,
% 1.00/1.07 (~P2(f15(a1),a1)),
% 1.00/1.07 inference(scs_inference,[],[263,268,345,306,341,241,204,196,109,45,80,32,59,53,66,54,55])).
% 1.00/1.07 cnf(406,plain,
% 1.00/1.07 (~P4(f8(x4061),x4061)),
% 1.00/1.07 inference(rename_variables,[],[95])).
% 1.00/1.07 cnf(422,plain,
% 1.00/1.07 (P4(f2(a1,f15(a1)),a1)),
% 1.00/1.07 inference(scs_inference,[],[373,310,379,381,387,180,97,95,406,130,99,341,46,44,33,80,59,56,43,84,35,82,62])).
% 1.00/1.07 cnf(444,plain,
% 1.00/1.07 (~P4(f8(x4441),x4441)),
% 1.00/1.07 inference(rename_variables,[],[95])).
% 1.00/1.07 cnf(445,plain,
% 1.00/1.07 (P5(f8(x4451),f17(x4451,f8(x4451)))),
% 1.00/1.07 inference(rename_variables,[],[263])).
% 1.00/1.07 cnf(449,plain,
% 1.00/1.07 (~P7(x4491,f17(x4492,f8(x4492)),x4492)),
% 1.00/1.07 inference(scs_inference,[],[422,263,445,97,95,444,81,52,80])).
% 1.00/1.07 cnf(662,plain,
% 1.00/1.07 ($false),
% 1.00/1.07 inference(scs_inference,[],[449,145,109,105,44,42,59]),
% 1.00/1.07 ['proof']).
% 1.00/1.07 % SZS output end Proof
% 1.00/1.07 % Total time :0.420000s
%------------------------------------------------------------------------------