TSTP Solution File: GEO112+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO112+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 : n031.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 0.50s 0.78s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO112+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 20:54:26 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.50/0.78 %-------------------------------------------
% 0.50/0.78 % File :CSE---1.6
% 0.50/0.78 % Problem :theBenchmark
% 0.50/0.78 % Transform :cnf
% 0.50/0.78 % Format :tptp:raw
% 0.50/0.78 % Command :java -jar mcs_scs.jar %d %s
% 0.50/0.78
% 0.50/0.78 % Result :Theorem 0.170000s
% 0.50/0.78 % Output :CNFRefutation 0.170000s
% 0.50/0.78 %-------------------------------------------
% 0.50/0.78 %--------------------------------------------------------------------------
% 0.50/0.78 % File : GEO112+1 : TPTP v8.1.2. Released v2.4.0.
% 0.50/0.78 % Domain : Geometry (Oriented curves)
% 0.50/0.78 % Problem : Basic property of orderings on linear structures 2
% 0.50/0.78 % Version : [EHK99] axioms.
% 0.50/0.78 % English : If Q is between P and R wrt. c, then Q is between R and P wrt. c
% 0.50/0.78
% 0.50/0.78 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 0.50/0.78 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 0.50/0.78 % Source : [KE99]
% 0.50/0.78 % Names : Theorem 3.8 (2) [KE99]
% 0.50/0.78 % : T5 [EHK99]
% 0.50/0.78
% 0.50/0.78 % Status : Theorem
% 0.50/0.78 % Rating : 0.31 v8.1.0, 0.19 v7.5.0, 0.22 v7.4.0, 0.23 v7.3.0, 0.17 v7.2.0, 0.14 v7.1.0, 0.22 v7.0.0, 0.23 v6.4.0, 0.27 v6.3.0, 0.21 v6.2.0, 0.24 v6.1.0, 0.27 v6.0.0, 0.22 v5.5.0, 0.19 v5.4.0, 0.18 v5.3.0, 0.22 v5.2.0, 0.20 v5.1.0, 0.19 v5.0.0, 0.25 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.25 v3.7.0, 0.20 v3.5.0, 0.21 v3.4.0, 0.26 v3.3.0, 0.14 v3.2.0, 0.27 v3.1.0, 0.33 v2.5.0, 0.50 v2.4.0
% 0.50/0.78 % Syntax : Number of formulae : 18 ( 1 unt; 0 def)
% 0.50/0.78 % Number of atoms : 75 ( 11 equ)
% 0.50/0.78 % Maximal formula atoms : 12 ( 4 avg)
% 0.50/0.78 % Number of connectives : 62 ( 5 ~; 9 |; 25 &)
% 0.50/0.78 % ( 10 <=>; 13 =>; 0 <=; 0 <~>)
% 0.50/0.78 % Maximal formula depth : 12 ( 7 avg)
% 0.50/0.78 % Maximal term depth : 2 ( 1 avg)
% 0.50/0.78 % Number of predicates : 9 ( 8 usr; 0 prp; 1-4 aty)
% 0.50/0.78 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.50/0.78 % Number of variables : 62 ( 52 !; 10 ?)
% 0.50/0.78 % SPC : FOF_THM_RFO_SEQ
% 0.50/0.78
% 0.50/0.78 % Comments :
% 0.50/0.78 %--------------------------------------------------------------------------
% 0.50/0.78 %----Include simple curve axioms
% 0.50/0.78 include('Axioms/GEO004+0.ax').
% 0.50/0.78 %----Include axioms of betweenness for simple curves
% 0.50/0.78 include('Axioms/GEO004+1.ax').
% 0.50/0.78 %--------------------------------------------------------------------------
% 0.50/0.78 fof(theorem_3_8_2,conjecture,
% 0.50/0.78 ! [C,P,Q,R] :
% 0.50/0.78 ( between_c(C,P,Q,R)
% 0.50/0.78 => between_c(C,R,Q,P) ) ).
% 0.50/0.78
% 0.50/0.78 %--------------------------------------------------------------------------
% 0.50/0.78 %-------------------------------------------
% 0.50/0.78 % Proof found
% 0.50/0.78 % SZS status Theorem for theBenchmark
% 0.50/0.78 % SZS output start Proof
% 0.50/0.78 %ClaNum:102(EqnAxiom:51)
% 0.50/0.78 %VarNum:387(SingletonVarNum:138)
% 0.50/0.78 %MaxLitNum:12
% 0.50/0.78 %MaxfuncDepth:2
% 0.50/0.78 %SharedTerms:6
% 0.50/0.78 %goalClause: 53 54
% 0.50/0.78 %singleGoalClaCount:2
% 0.50/0.78 [53]P2(a2,a8,a9,a10)
% 0.50/0.78 [54]~P2(a2,a10,a9,a8)
% 0.50/0.78 [52]P1(f1(x521),x521)
% 0.50/0.78 [55]P3(x551)+P4(f11(x551),x551)
% 0.50/0.78 [57]~P6(x571)+P4(f17(x571),x571)
% 0.50/0.78 [56]P6(x561)+~P4(x562,x561)
% 0.50/0.78 [59]~P3(x591)+~P4(x592,x591)
% 0.50/0.78 [60]~P4(x601,x602)+P5(x601,x602)
% 0.50/0.78 [61]~P1(x611,x612)+P5(x611,x612)
% 0.50/0.78 [62]~P1(x621,x622)+~P4(x621,x622)
% 0.50/0.79 [63]~P4(x632,x631)+~E(f3(x631,x632),x632)
% 0.50/0.79 [65]P8(x651,x652)+P5(f12(x652,x651),x651)
% 0.50/0.79 [69]~P4(x692,x691)+P4(f3(x691,x692),x691)
% 0.50/0.79 [76]P8(x761,x762)+~P5(f12(x762,x761),x762)
% 0.50/0.79 [83]~P1(x831,x832)+P7(x831,f19(x832,x831),f4(x832,x831))
% 0.50/0.79 [78]~P1(x782,x781)+E(f18(f19(x781,x782),f4(x781,x782)),x781)
% 0.50/0.79 [79]P5(x791,x792)+~P7(x791,x793,x792)
% 0.50/0.79 [80]P5(x801,x802)+~P7(x801,x802,x803)
% 0.50/0.79 [81]~P7(x813,x811,x812)+E(f6(x811,x812),f18(x811,x812))
% 0.50/0.79 [95]~E(x951,x952)+~P2(x953,x951,x954,x952)
% 0.50/0.79 [99]~P2(x992,x993,x994,x991)+P4(x991,f7(x992,x993,x994,x991))
% 0.50/0.79 [100]~P2(x1002,x1001,x1003,x1004)+P4(x1001,f7(x1002,x1001,x1003,x1004))
% 0.50/0.79 [101]~P2(x1012,x1013,x1011,x1014)+P1(x1011,f7(x1012,x1013,x1011,x1014))
% 0.50/0.79 [102]~P2(x1021,x1022,x1023,x1024)+P8(f7(x1021,x1022,x1023,x1024),x1021)
% 0.50/0.79 [58]P6(x581)+~P8(x581,x582)+E(x581,x582)
% 0.50/0.79 [64]P1(x641,x642)+~P5(x641,x642)+P4(x641,x642)
% 0.50/0.79 [72]~P5(x721,x722)+P4(x721,x722)+P5(x721,f13(x721,x722))
% 0.50/0.79 [73]~P5(x731,x732)+P4(x731,x732)+P5(x731,f15(x731,x732))
% 0.50/0.79 [74]~P5(x741,x742)+P4(x741,x742)+P8(f13(x741,x742),x742)
% 0.50/0.79 [75]~P5(x751,x752)+P4(x751,x752)+P8(f15(x751,x752),x752)
% 0.50/0.79 [77]E(x771,x772)+P5(f5(x771,x772),x772)+P5(f5(x771,x772),x771)
% 0.50/0.79 [82]E(x821,x822)+~P5(f5(x821,x822),x822)+~P5(f5(x821,x822),x821)
% 0.50/0.79 [84]~P5(x841,x842)+P4(x841,x842)+~P8(f13(x841,x842),f15(x841,x842))
% 0.50/0.79 [85]~P5(x851,x852)+P4(x851,x852)+~P8(f15(x851,x852),f13(x851,x852))
% 0.50/0.79 [66]~P5(x661,x663)+P5(x661,x662)+~P8(x663,x662)
% 0.50/0.79 [96]~P5(f14(x961,x962,x963),x963)+~P5(f14(x961,x962,x963),x961)+E(x961,f18(x962,x963))
% 0.50/0.79 [97]~P5(f14(x971,x972,x973),x972)+~P5(f14(x971,x972,x973),x971)+E(x971,f18(x972,x973))
% 0.50/0.79 [67]~P5(x671,x674)+P5(x671,x672)+~E(x672,f18(x673,x674))
% 0.50/0.79 [68]~P5(x681,x683)+P5(x681,x682)+~E(x682,f18(x683,x684))
% 0.50/0.79 [90]~P5(x901,x903)+~P5(x901,x902)+P7(x901,x902,x903)+P5(f16(x901,x902,x903),x903)
% 0.50/0.79 [91]~P5(x911,x913)+~P5(x911,x912)+P7(x911,x912,x913)+P5(f16(x911,x912,x913),x912)
% 0.50/0.79 [94]P5(f14(x941,x942,x943),x943)+P5(f14(x941,x942,x943),x942)+P5(f14(x941,x942,x943),x941)+E(x941,f18(x942,x943))
% 0.50/0.79 [87]~P5(x871,x872)+P4(x871,x872)+~P7(x874,x873,x872)+~P5(x871,x873)
% 0.50/0.79 [88]~P5(x881,x882)+P4(x881,x882)+~P7(x884,x882,x883)+~P5(x881,x883)
% 0.50/0.79 [71]~P5(x711,x714)+P5(x711,x712)+P5(x711,x713)+~E(x714,f18(x713,x712))
% 0.50/0.79 [98]~P5(x981,x983)+~P5(x981,x982)+P7(x981,x982,x983)+~P4(f16(x981,x982,x983),x983)+~P4(f16(x981,x982,x983),x982)
% 0.50/0.79 [89]~P3(x894)+~P4(x891,x892)+P7(x891,x892,x893)+~P7(x895,x892,x893)+~E(x894,f18(x892,x893))
% 0.50/0.79 [70]E(x703,x701)+~P4(x701,x704)+~P4(x703,x704)+E(x701,x702)+E(x703,x702)+~P4(x702,x704)
% 0.50/0.79 [93]~P4(x932,x935)+~P4(x931,x935)+~P1(x934,x935)+E(x931,x932)+P2(x933,x931,x934,x932)+~P8(x935,x933)
% 0.50/0.79 [86]P8(x862,x861)+~P8(x862,x863)+~P5(x864,x862)+~P4(x864,x863)+P8(x861,x862)+~P8(x861,x863)+~P5(x864,x861)
% 0.50/0.79 [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)
% 0.50/0.79 %EqnAxiom
% 0.50/0.79 [1]E(x11,x11)
% 0.50/0.79 [2]E(x22,x21)+~E(x21,x22)
% 0.50/0.79 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.50/0.79 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.50/0.79 [5]~E(x51,x52)+E(f11(x51),f11(x52))
% 0.50/0.79 [6]~E(x61,x62)+E(f17(x61),f17(x62))
% 0.50/0.79 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73))
% 0.50/0.79 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82))
% 0.50/0.79 [9]~E(x91,x92)+E(f12(x91,x93),f12(x92,x93))
% 0.50/0.79 [10]~E(x101,x102)+E(f12(x103,x101),f12(x103,x102))
% 0.50/0.79 [11]~E(x111,x112)+E(f18(x111,x113),f18(x112,x113))
% 0.50/0.79 [12]~E(x121,x122)+E(f18(x123,x121),f18(x123,x122))
% 0.50/0.79 [13]~E(x131,x132)+E(f7(x131,x133,x134,x135),f7(x132,x133,x134,x135))
% 0.50/0.79 [14]~E(x141,x142)+E(f7(x143,x141,x144,x145),f7(x143,x142,x144,x145))
% 0.50/0.79 [15]~E(x151,x152)+E(f7(x153,x154,x151,x155),f7(x153,x154,x152,x155))
% 0.50/0.79 [16]~E(x161,x162)+E(f7(x163,x164,x165,x161),f7(x163,x164,x165,x162))
% 0.50/0.79 [17]~E(x171,x172)+E(f14(x171,x173,x174),f14(x172,x173,x174))
% 0.50/0.79 [18]~E(x181,x182)+E(f14(x183,x181,x184),f14(x183,x182,x184))
% 0.50/0.79 [19]~E(x191,x192)+E(f14(x193,x194,x191),f14(x193,x194,x192))
% 0.50/0.79 [20]~E(x201,x202)+E(f16(x201,x203,x204),f16(x202,x203,x204))
% 0.50/0.79 [21]~E(x211,x212)+E(f16(x213,x211,x214),f16(x213,x212,x214))
% 0.50/0.79 [22]~E(x221,x222)+E(f16(x223,x224,x221),f16(x223,x224,x222))
% 0.50/0.79 [23]~E(x231,x232)+E(f13(x231,x233),f13(x232,x233))
% 0.50/0.79 [24]~E(x241,x242)+E(f13(x243,x241),f13(x243,x242))
% 0.50/0.79 [25]~E(x251,x252)+E(f15(x251,x253),f15(x252,x253))
% 0.50/0.79 [26]~E(x261,x262)+E(f15(x263,x261),f15(x263,x262))
% 0.50/0.79 [27]~E(x271,x272)+E(f4(x271,x273),f4(x272,x273))
% 0.50/0.79 [28]~E(x281,x282)+E(f4(x283,x281),f4(x283,x282))
% 0.50/0.79 [29]~E(x291,x292)+E(f5(x291,x293),f5(x292,x293))
% 0.50/0.79 [30]~E(x301,x302)+E(f5(x303,x301),f5(x303,x302))
% 0.50/0.79 [31]~E(x311,x312)+E(f19(x311,x313),f19(x312,x313))
% 0.50/0.79 [32]~E(x321,x322)+E(f19(x323,x321),f19(x323,x322))
% 0.50/0.79 [33]~E(x331,x332)+E(f6(x331,x333),f6(x332,x333))
% 0.50/0.79 [34]~E(x341,x342)+E(f6(x343,x341),f6(x343,x342))
% 0.50/0.79 [35]P1(x352,x353)+~E(x351,x352)+~P1(x351,x353)
% 0.50/0.79 [36]P1(x363,x362)+~E(x361,x362)+~P1(x363,x361)
% 0.50/0.79 [37]P2(x372,x373,x374,x375)+~E(x371,x372)+~P2(x371,x373,x374,x375)
% 0.50/0.79 [38]P2(x383,x382,x384,x385)+~E(x381,x382)+~P2(x383,x381,x384,x385)
% 0.50/0.79 [39]P2(x393,x394,x392,x395)+~E(x391,x392)+~P2(x393,x394,x391,x395)
% 0.50/0.79 [40]P2(x403,x404,x405,x402)+~E(x401,x402)+~P2(x403,x404,x405,x401)
% 0.50/0.79 [41]P4(x412,x413)+~E(x411,x412)+~P4(x411,x413)
% 0.50/0.79 [42]P4(x423,x422)+~E(x421,x422)+~P4(x423,x421)
% 0.50/0.79 [43]~P3(x431)+P3(x432)+~E(x431,x432)
% 0.50/0.79 [44]P5(x442,x443)+~E(x441,x442)+~P5(x441,x443)
% 0.50/0.79 [45]P5(x453,x452)+~E(x451,x452)+~P5(x453,x451)
% 0.50/0.79 [46]~P6(x461)+P6(x462)+~E(x461,x462)
% 0.50/0.79 [47]P7(x472,x473,x474)+~E(x471,x472)+~P7(x471,x473,x474)
% 0.50/0.79 [48]P7(x483,x482,x484)+~E(x481,x482)+~P7(x483,x481,x484)
% 0.50/0.79 [49]P7(x493,x494,x492)+~E(x491,x492)+~P7(x493,x494,x491)
% 0.50/0.79 [50]P8(x502,x503)+~E(x501,x502)+~P8(x501,x503)
% 0.50/0.79 [51]P8(x513,x512)+~E(x511,x512)+~P8(x513,x511)
% 0.50/0.79
% 0.50/0.79 %-------------------------------------------
% 0.50/0.79 cnf(103,plain,
% 0.50/0.79 (~E(a8,a10)),
% 0.50/0.79 inference(scs_inference,[],[53,95])).
% 0.50/0.79 cnf(104,plain,
% 0.50/0.79 (~P4(f1(x1041),x1041)),
% 0.50/0.79 inference(scs_inference,[],[53,52,95,62])).
% 0.50/0.79 cnf(105,plain,
% 0.50/0.79 (P5(f1(x1051),x1051)),
% 0.50/0.79 inference(scs_inference,[],[53,52,95,62,61])).
% 0.50/0.79 cnf(107,plain,
% 0.50/0.79 (P8(f7(a2,a8,a9,a10),a2)),
% 0.50/0.79 inference(scs_inference,[],[53,52,95,62,61,102])).
% 0.50/0.79 cnf(111,plain,
% 0.50/0.79 (P4(a8,f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(scs_inference,[],[53,52,95,62,61,102,101,100])).
% 0.50/0.79 cnf(113,plain,
% 0.50/0.79 (P4(a10,f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(scs_inference,[],[53,52,95,62,61,102,101,100,99])).
% 0.50/0.79 cnf(115,plain,
% 0.50/0.79 (P7(f1(x1151),f19(x1151,f1(x1151)),f4(x1151,f1(x1151)))),
% 0.50/0.79 inference(scs_inference,[],[53,52,95,62,61,102,101,100,99,83])).
% 0.50/0.79 cnf(117,plain,
% 0.50/0.79 (~P4(f1(x1171),x1172)+~E(x1172,x1171)),
% 0.50/0.79 inference(scs_inference,[],[53,52,95,62,61,102,101,100,99,83,42])).
% 0.50/0.79 cnf(118,plain,
% 0.50/0.79 (~E(a8,f1(f7(a2,a8,a9,a10)))),
% 0.50/0.79 inference(scs_inference,[],[53,52,95,62,61,102,101,100,99,83,42,41])).
% 0.50/0.79 cnf(123,plain,
% 0.50/0.79 (P8(f13(f1(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(scs_inference,[],[53,52,95,62,61,102,101,100,99,83,42,41,66,75,74])).
% 0.50/0.79 cnf(125,plain,
% 0.50/0.79 (~P7(x1251,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(scs_inference,[],[53,52,95,62,61,102,101,100,99,83,42,41,66,75,74,88])).
% 0.50/0.79 cnf(127,plain,
% 0.50/0.79 (P5(f16(f1(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(scs_inference,[],[53,52,95,62,61,102,101,100,99,83,42,41,66,75,74,88,91])).
% 0.50/0.79 cnf(129,plain,
% 0.50/0.79 (E(a10,a8)),
% 0.50/0.79 inference(scs_inference,[],[53,54,52,95,62,61,102,101,100,99,83,42,41,66,75,74,88,91,93])).
% 0.50/0.79 cnf(131,plain,
% 0.50/0.79 (~P3(f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(scs_inference,[],[53,54,52,95,62,61,102,101,100,99,83,42,41,66,75,74,88,91,93,2,59])).
% 0.50/0.79 cnf(133,plain,
% 0.50/0.79 (P6(f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(scs_inference,[],[53,54,52,95,62,61,102,101,100,99,83,42,41,66,75,74,88,91,93,2,59,56])).
% 0.50/0.79 cnf(153,plain,
% 0.50/0.79 (~P4(f1(a8),a10)),
% 0.50/0.79 inference(scs_inference,[],[129,117])).
% 0.50/0.79 cnf(156,plain,
% 0.50/0.79 (P4(f17(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(scs_inference,[],[133,113,129,117,60,57])).
% 0.50/0.79 cnf(168,plain,
% 0.50/0.79 (E(f15(x1681,a10),f15(x1681,a8))),
% 0.50/0.79 inference(scs_inference,[],[133,131,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26])).
% 0.50/0.79 cnf(170,plain,
% 0.50/0.79 (E(f13(x1701,a10),f13(x1701,a8))),
% 0.50/0.79 inference(scs_inference,[],[133,131,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24])).
% 0.50/0.79 cnf(178,plain,
% 0.50/0.79 (E(f7(x1781,x1782,a10,x1783),f7(x1781,x1782,a8,x1783))),
% 0.50/0.79 inference(scs_inference,[],[133,131,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15])).
% 0.50/0.79 cnf(179,plain,
% 0.50/0.79 (E(f7(x1791,a10,x1792,x1793),f7(x1791,a8,x1792,x1793))),
% 0.50/0.79 inference(scs_inference,[],[133,131,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14])).
% 0.50/0.79 cnf(181,plain,
% 0.50/0.79 (E(f18(x1811,a10),f18(x1811,a8))),
% 0.50/0.79 inference(scs_inference,[],[133,131,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12])).
% 0.50/0.79 cnf(182,plain,
% 0.50/0.79 (E(f18(a10,x1821),f18(a8,x1821))),
% 0.50/0.79 inference(scs_inference,[],[133,131,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11])).
% 0.50/0.79 cnf(185,plain,
% 0.50/0.79 (E(f3(x1851,a10),f3(x1851,a8))),
% 0.50/0.79 inference(scs_inference,[],[133,131,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8])).
% 0.50/0.79 cnf(190,plain,
% 0.50/0.79 (P4(f3(f7(a2,a8,a9,a10),a10),f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(scs_inference,[],[133,131,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69])).
% 0.50/0.79 cnf(192,plain,
% 0.50/0.79 (~E(f3(f7(a2,a8,a9,a10),a10),a10)),
% 0.50/0.79 inference(scs_inference,[],[133,131,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63])).
% 0.50/0.79 cnf(194,plain,
% 0.50/0.79 (P5(f1(x1941),f15(f1(x1941),x1941))),
% 0.50/0.79 inference(scs_inference,[],[104,105,133,131,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73])).
% 0.50/0.79 cnf(195,plain,
% 0.50/0.79 (P5(f1(x1951),x1951)),
% 0.50/0.79 inference(rename_variables,[],[105])).
% 0.50/0.79 cnf(198,plain,
% 0.50/0.79 (P5(f1(x1981),x1981)),
% 0.50/0.79 inference(rename_variables,[],[105])).
% 0.50/0.79 cnf(200,plain,
% 0.50/0.79 (~P8(f15(f1(x2001),x2001),f13(f1(x2001),x2001))),
% 0.50/0.79 inference(scs_inference,[],[104,105,195,198,133,131,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85])).
% 0.50/0.79 cnf(201,plain,
% 0.50/0.79 (P5(f1(x2011),x2011)),
% 0.50/0.79 inference(rename_variables,[],[105])).
% 0.50/0.79 cnf(204,plain,
% 0.50/0.79 (P5(f1(x2041),x2041)),
% 0.50/0.79 inference(rename_variables,[],[105])).
% 0.50/0.79 cnf(206,plain,
% 0.50/0.79 (P5(f16(a10,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(scs_inference,[],[104,105,195,198,201,133,131,125,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85,84,90])).
% 0.50/0.79 cnf(207,plain,
% 0.50/0.79 (~P7(x2071,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(rename_variables,[],[125])).
% 0.50/0.79 cnf(210,plain,
% 0.50/0.79 (~P7(x2101,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(rename_variables,[],[125])).
% 0.50/0.79 cnf(211,plain,
% 0.50/0.79 (P5(f1(x2111),x2111)),
% 0.50/0.79 inference(rename_variables,[],[105])).
% 0.50/0.79 cnf(213,plain,
% 0.50/0.79 (~P2(x2131,a10,x2132,a8)),
% 0.50/0.79 inference(scs_inference,[],[104,105,195,198,201,204,133,131,125,207,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85,84,90,98,95])).
% 0.50/0.79 cnf(218,plain,
% 0.50/0.79 (P5(f1(x2181),x2181)),
% 0.50/0.79 inference(rename_variables,[],[105])).
% 0.50/0.79 cnf(220,plain,
% 0.50/0.79 (~E(f1(f7(a2,a8,a9,a10)),a8)),
% 0.50/0.79 inference(scs_inference,[],[104,105,195,198,201,204,211,133,131,125,207,127,118,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85,84,90,98,95,64,75,2])).
% 0.50/0.79 cnf(221,plain,
% 0.50/0.79 (~E(f7(a2,a8,a9,a10),f15(f1(f7(a2,a8,a9,a10)),f7(a2,a8,a9,a10)))),
% 0.50/0.79 inference(scs_inference,[],[104,105,195,198,201,204,211,133,131,125,207,127,123,118,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85,84,90,98,95,64,75,2,51])).
% 0.50/0.79 cnf(223,plain,
% 0.50/0.79 (~P4(f1(x2231),x2231)),
% 0.50/0.79 inference(rename_variables,[],[104])).
% 0.50/0.79 cnf(224,plain,
% 0.50/0.79 (P2(a2,a8,a9,a8)),
% 0.50/0.79 inference(scs_inference,[],[53,104,105,195,198,201,204,211,133,131,125,207,127,123,118,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85,84,90,98,95,64,75,2,51,42,40])).
% 0.50/0.79 cnf(225,plain,
% 0.50/0.79 (P1(f1(a10),a8)),
% 0.50/0.79 inference(scs_inference,[],[53,52,104,105,195,198,201,204,211,133,131,125,207,127,123,118,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85,84,90,98,95,64,75,2,51,42,40,36])).
% 0.50/0.79 cnf(229,plain,
% 0.50/0.79 (P5(f1(x2291),x2291)),
% 0.50/0.79 inference(rename_variables,[],[105])).
% 0.50/0.79 cnf(231,plain,
% 0.50/0.79 (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))),
% 0.50/0.79 inference(scs_inference,[],[53,52,104,223,105,195,198,201,204,211,218,133,131,125,207,210,127,123,118,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85,84,90,98,95,64,75,2,51,42,40,36,68,74,91])).
% 0.50/0.79 cnf(234,plain,
% 0.50/0.79 (~P1(a10,f7(a2,a8,a9,a10))),
% 0.50/0.79 inference(scs_inference,[],[53,52,104,223,105,195,198,201,204,211,218,133,131,125,207,210,127,123,118,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85,84,90,98,95,64,75,2,51,42,40,36,68,74,91,62])).
% 0.50/0.79 cnf(236,plain,
% 0.50/0.79 (E(f7(x2361,x2362,x2363,a10),f7(x2361,x2362,x2363,a8))),
% 0.50/0.79 inference(scs_inference,[],[53,52,104,223,105,195,198,201,204,211,218,133,131,125,207,210,127,123,118,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85,84,90,98,95,64,75,2,51,42,40,36,68,74,91,62,16])).
% 0.50/0.79 cnf(241,plain,
% 0.50/0.79 (P5(f1(a10),a8)),
% 0.50/0.79 inference(scs_inference,[],[53,52,115,104,223,105,195,198,201,204,211,218,229,133,131,125,207,210,127,123,107,118,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85,84,90,98,95,64,75,2,51,42,40,36,68,74,91,62,16,50,49,48,47,45])).
% 0.50/0.79 cnf(242,plain,
% 0.50/0.79 (P5(f1(x2421),x2421)),
% 0.50/0.79 inference(rename_variables,[],[105])).
% 0.50/0.79 cnf(243,plain,
% 0.50/0.79 (P5(f1(a8),a10)),
% 0.50/0.79 inference(scs_inference,[],[53,52,115,104,223,105,195,198,201,204,211,218,229,242,133,131,125,207,210,127,123,107,118,113,129,117,60,57,55,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,15,14,13,12,11,10,9,8,7,6,5,4,69,63,73,72,85,84,90,98,95,64,75,2,51,42,40,36,68,74,91,62,16,50,49,48,47,45,44])).
% 0.50/0.79 cnf(290,plain,
% 0.50/0.79 (~P7(x2901,f7(a2,a8,a9,a10),f7(a2,a8,a9,a10))),
% 0.50/0.80 inference(rename_variables,[],[125])).
% 0.50/0.80 cnf(299,plain,
% 0.50/0.80 (P1(f1(x2991),x2991)),
% 0.50/0.80 inference(rename_variables,[],[52])).
% 0.50/0.80 cnf(303,plain,
% 0.50/0.80 (~P8(f15(f1(x3031),x3031),f13(f1(x3031),x3031))),
% 0.50/0.80 inference(rename_variables,[],[200])).
% 0.50/0.80 cnf(306,plain,
% 0.50/0.80 (E(f7(x3061,x3062,x3063,a10),f7(x3061,x3062,x3063,a8))),
% 0.50/0.80 inference(rename_variables,[],[236])).
% 0.50/0.80 cnf(309,plain,
% 0.50/0.80 (E(f7(x3091,a10,x3092,x3093),f7(x3091,a8,x3092,x3093))),
% 0.50/0.80 inference(rename_variables,[],[179])).
% 0.50/0.80 cnf(323,plain,
% 0.50/0.80 (E(f7(x3231,a10,x3232,x3233),f7(x3231,a8,x3232,x3233))),
% 0.50/0.80 inference(rename_variables,[],[179])).
% 0.50/0.80 cnf(340,plain,
% 0.50/0.80 (E(f7(x3401,x3402,x3403,f7(x3404,x3405,a10,x3406)),f7(x3401,x3402,x3403,f7(x3404,x3405,a8,x3406)))),
% 0.50/0.80 inference(scs_inference,[],[52,299,103,104,200,303,194,156,221,231,206,178,179,309,323,236,306,168,170,181,182,224,213,234,220,153,225,241,243,125,290,111,107,113,129,99,67,87,98,95,68,64,93,2,51,42,40,36,62,88,91,35,41,50,49,48,3,86,84,85,70,73,72,16])).
% 0.50/0.80 cnf(367,plain,
% 0.50/0.80 ($false),
% 0.50/0.80 inference(scs_inference,[],[52,103,340,190,185,192,153,243,107,113,129,95,87,93,38,2]),
% 0.50/0.80 ['proof']).
% 0.50/0.80 % SZS output end Proof
% 0.50/0.80 % Total time :0.170000s
%------------------------------------------------------------------------------