TSTP Solution File: GEO085-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO085-1 : 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 : n025.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 22:42:52 EDT 2023
% Result : Unsatisfiable 0.18s 0.62s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO085-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 20:22:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.18/0.62 %-------------------------------------------
% 0.18/0.62 % File :CSE---1.6
% 0.18/0.62 % Problem :theBenchmark
% 0.18/0.62 % Transform :cnf
% 0.18/0.62 % Format :tptp:raw
% 0.18/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.18/0.62
% 0.18/0.62 % Result :Theorem 0.010000s
% 0.18/0.62 % Output :CNFRefutation 0.010000s
% 0.18/0.62 %-------------------------------------------
% 0.18/0.62 %--------------------------------------------------------------------------
% 0.18/0.62 % File : GEO085-1 : TPTP v8.1.2. Released v2.4.0.
% 0.18/0.62 % Domain : Geometry (Oriented curves)
% 0.18/0.62 % Problem : Every open curve has at least two endpoints
% 0.18/0.62 % Version : [EHK99] axioms.
% 0.18/0.62 % English :
% 0.18/0.62
% 0.18/0.62 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 0.18/0.62 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 0.18/0.62 % Source : [TPTP]
% 0.18/0.62 % Names :
% 0.18/0.62
% 0.18/0.62 % Status : Unsatisfiable
% 0.18/0.62 % Rating : 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v5.5.0, 0.15 v5.4.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.15 v4.0.1, 0.27 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.4.0
% 0.18/0.62 % Syntax : Number of clauses : 50 ( 2 unt; 21 nHn; 45 RR)
% 0.18/0.62 % Number of literals : 158 ( 22 equ; 80 neg)
% 0.18/0.62 % Maximal clause size : 12 ( 3 avg)
% 0.18/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.18/0.62 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 0.18/0.62 % Number of functors : 15 ( 15 usr; 1 con; 0-3 aty)
% 0.18/0.62 % Number of variables : 128 ( 10 sgn)
% 0.18/0.62 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.18/0.62
% 0.18/0.62 % Comments : Created by tptp2X -f tptp -t clausify:otter GEO085+1.p
% 0.18/0.62 %--------------------------------------------------------------------------
% 0.18/0.62 %----Include simple curve axioms
% 0.18/0.62 include('Axioms/GEO004-0.ax').
% 0.18/0.62 %--------------------------------------------------------------------------
% 0.18/0.62 cnf(theorem_2_7_1_67,negated_conjecture,
% 0.18/0.62 open(sk14) ).
% 0.18/0.62
% 0.18/0.62 cnf(theorem_2_7_1_68,negated_conjecture,
% 0.18/0.62 ( A = B
% 0.18/0.62 | ~ end_point(A,sk14)
% 0.18/0.62 | ~ end_point(B,sk14) ) ).
% 0.18/0.62
% 0.18/0.62 %--------------------------------------------------------------------------
% 0.18/0.62 %-------------------------------------------
% 0.18/0.62 % Proof found
% 0.18/0.62 % SZS status Theorem for theBenchmark
% 0.18/0.62 % SZS output start Proof
% 0.18/0.63 %ClaNum:88(EqnAxiom:43)
% 0.18/0.63 %VarNum:335(SingletonVarNum:115)
% 0.18/0.63 %MaxLitNum:12
% 0.18/0.63 %MaxfuncDepth:2
% 0.18/0.63 %SharedTerms:2
% 0.18/0.63 %goalClause: 44 53
% 0.18/0.63 %singleGoalClaCount:1
% 0.18/0.63 [44]P1(a1)
% 0.18/0.63 [45]P2(f2(x451),x451)
% 0.18/0.63 [46]P3(x461)+P4(f3(x461),x461)
% 0.18/0.63 [48]~P1(x481)+P4(f13(x481),x481)
% 0.18/0.63 [47]P1(x471)+~P4(x472,x471)
% 0.18/0.63 [50]~P3(x501)+~P4(x502,x501)
% 0.18/0.63 [51]~P4(x511,x512)+P5(x511,x512)
% 0.18/0.63 [52]~P2(x521,x522)+P5(x521,x522)
% 0.18/0.63 [54]~P2(x541,x542)+~P4(x541,x542)
% 0.18/0.63 [55]~P4(x551,x552)+~E(f4(x551,x552),x551)
% 0.18/0.63 [57]P7(x571,x572)+P5(f5(x571,x572),x571)
% 0.18/0.63 [61]~P4(x611,x612)+P4(f4(x611,x612),x612)
% 0.18/0.63 [68]P7(x681,x682)+~P5(f5(x681,x682),x682)
% 0.18/0.63 [75]~P2(x751,x752)+P6(x751,f14(x751,x752),f6(x751,x752))
% 0.18/0.63 [70]~P2(x701,x702)+E(f15(f14(x701,x702),f6(x701,x702)),x702)
% 0.18/0.63 [71]P5(x711,x712)+~P6(x711,x713,x712)
% 0.18/0.63 [72]P5(x721,x722)+~P6(x721,x722,x723)
% 0.18/0.63 [73]~P6(x733,x732,x731)+E(f9(x731,x732),f15(x732,x731))
% 0.18/0.63 [49]P1(x491)+~P7(x491,x492)+E(x491,x492)
% 0.18/0.63 [53]E(x531,x532)+~P4(x532,a1)+~P4(x531,a1)
% 0.18/0.63 [56]P2(x561,x562)+~P5(x561,x562)+P4(x561,x562)
% 0.18/0.63 [64]~P5(x641,x642)+P4(x641,x642)+P5(x641,f7(x642,x641))
% 0.18/0.63 [65]~P5(x651,x652)+P4(x651,x652)+P5(x651,f11(x652,x651))
% 0.18/0.63 [66]~P5(x661,x662)+P4(x661,x662)+P7(f7(x662,x661),x662)
% 0.18/0.63 [67]~P5(x671,x672)+P4(x671,x672)+P7(f11(x672,x671),x672)
% 0.18/0.63 [69]E(x691,x692)+P5(f8(x691,x692),x692)+P5(f8(x691,x692),x691)
% 0.18/0.63 [74]E(x741,x742)+~P5(f8(x741,x742),x742)+~P5(f8(x741,x742),x741)
% 0.18/0.63 [76]~P5(x761,x762)+P4(x761,x762)+~P7(f7(x762,x761),f11(x762,x761))
% 0.18/0.63 [77]~P5(x771,x772)+P4(x771,x772)+~P7(f11(x772,x771),f7(x772,x771))
% 0.18/0.63 [58]~P5(x581,x583)+P5(x581,x582)+~P7(x583,x582)
% 0.18/0.63 [86]~P5(f10(x863,x862,x861),x861)+~P5(f10(x863,x862,x861),x862)+E(x861,f15(x862,x863))
% 0.18/0.63 [87]~P5(f10(x873,x872,x871),x871)+~P5(f10(x873,x872,x871),x873)+E(x871,f15(x872,x873))
% 0.18/0.63 [59]~P5(x591,x594)+P5(x591,x592)+~E(x592,f15(x593,x594))
% 0.18/0.63 [60]~P5(x601,x603)+P5(x601,x602)+~E(x602,f15(x603,x604))
% 0.18/0.63 [82]~P5(x821,x823)+~P5(x821,x822)+P6(x821,x822,x823)+P5(f12(x823,x822,x821),x823)
% 0.18/0.63 [83]~P5(x831,x833)+~P5(x831,x832)+P6(x831,x832,x833)+P5(f12(x833,x832,x831),x832)
% 0.18/0.63 [85]P5(f10(x853,x852,x851),x851)+P5(f10(x853,x852,x851),x852)+P5(f10(x853,x852,x851),x853)+E(x851,f15(x852,x853))
% 0.18/0.63 [79]~P5(x791,x792)+P4(x791,x792)+~P6(x794,x793,x792)+~P5(x791,x793)
% 0.18/0.63 [80]~P5(x801,x802)+P4(x801,x802)+~P6(x804,x802,x803)+~P5(x801,x803)
% 0.18/0.63 [63]~P5(x631,x634)+P5(x631,x632)+P5(x631,x633)+~E(x634,f15(x633,x632))
% 0.18/0.63 [88]~P5(x881,x883)+~P5(x881,x882)+P6(x881,x882,x883)+~P4(f12(x883,x882,x881),x883)+~P4(f12(x883,x882,x881),x882)
% 0.18/0.63 [81]~P3(x814)+~P4(x811,x812)+P6(x811,x812,x813)+~P6(x815,x812,x813)+~E(x814,f15(x812,x813))
% 0.18/0.63 [62]E(x623,x621)+~P4(x621,x624)+~P4(x623,x624)+E(x621,x622)+E(x623,x622)+~P4(x622,x624)
% 0.18/0.63 [78]P7(x782,x781)+~P7(x782,x783)+~P5(x784,x782)+~P4(x784,x783)+P7(x781,x782)+~P7(x781,x783)+~P5(x784,x781)
% 0.18/0.63 [84]P7(x842,x841)+P7(x842,x843)+P7(x843,x841)+P7(x843,x842)+~P7(x842,x844)+~P7(x843,x844)+~P4(x845,x842)+~P4(x845,x843)+P7(x841,x842)+P7(x841,x843)+~P7(x841,x844)+~P4(x845,x841)
% 0.18/0.63 %EqnAxiom
% 0.18/0.63 [1]E(x11,x11)
% 0.18/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.18/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.18/0.63 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.18/0.63 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.18/0.63 [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 0.18/0.63 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 0.18/0.63 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 0.18/0.63 [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 0.18/0.63 [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 0.18/0.63 [11]~E(x111,x112)+E(f15(x111,x113),f15(x112,x113))
% 0.18/0.63 [12]~E(x121,x122)+E(f15(x123,x121),f15(x123,x122))
% 0.18/0.63 [13]~E(x131,x132)+E(f10(x131,x133,x134),f10(x132,x133,x134))
% 0.18/0.63 [14]~E(x141,x142)+E(f10(x143,x141,x144),f10(x143,x142,x144))
% 0.18/0.63 [15]~E(x151,x152)+E(f10(x153,x154,x151),f10(x153,x154,x152))
% 0.18/0.63 [16]~E(x161,x162)+E(f12(x161,x163,x164),f12(x162,x163,x164))
% 0.18/0.63 [17]~E(x171,x172)+E(f12(x173,x171,x174),f12(x173,x172,x174))
% 0.18/0.63 [18]~E(x181,x182)+E(f12(x183,x184,x181),f12(x183,x184,x182))
% 0.18/0.63 [19]~E(x191,x192)+E(f11(x191,x193),f11(x192,x193))
% 0.18/0.63 [20]~E(x201,x202)+E(f11(x203,x201),f11(x203,x202))
% 0.18/0.63 [21]~E(x211,x212)+E(f7(x211,x213),f7(x212,x213))
% 0.18/0.63 [22]~E(x221,x222)+E(f7(x223,x221),f7(x223,x222))
% 0.18/0.63 [23]~E(x231,x232)+E(f6(x231,x233),f6(x232,x233))
% 0.18/0.63 [24]~E(x241,x242)+E(f6(x243,x241),f6(x243,x242))
% 0.18/0.63 [25]~E(x251,x252)+E(f8(x251,x253),f8(x252,x253))
% 0.18/0.63 [26]~E(x261,x262)+E(f8(x263,x261),f8(x263,x262))
% 0.18/0.63 [27]~E(x271,x272)+E(f14(x271,x273),f14(x272,x273))
% 0.18/0.63 [28]~E(x281,x282)+E(f14(x283,x281),f14(x283,x282))
% 0.18/0.63 [29]~E(x291,x292)+E(f9(x291,x293),f9(x292,x293))
% 0.18/0.63 [30]~E(x301,x302)+E(f9(x303,x301),f9(x303,x302))
% 0.18/0.63 [31]~P1(x311)+P1(x312)+~E(x311,x312)
% 0.18/0.63 [32]P2(x322,x323)+~E(x321,x322)+~P2(x321,x323)
% 0.18/0.63 [33]P2(x333,x332)+~E(x331,x332)+~P2(x333,x331)
% 0.18/0.63 [34]~P3(x341)+P3(x342)+~E(x341,x342)
% 0.18/0.63 [35]P4(x352,x353)+~E(x351,x352)+~P4(x351,x353)
% 0.18/0.63 [36]P4(x363,x362)+~E(x361,x362)+~P4(x363,x361)
% 0.18/0.63 [37]P5(x372,x373)+~E(x371,x372)+~P5(x371,x373)
% 0.18/0.63 [38]P5(x383,x382)+~E(x381,x382)+~P5(x383,x381)
% 0.18/0.63 [39]P6(x392,x393,x394)+~E(x391,x392)+~P6(x391,x393,x394)
% 0.18/0.63 [40]P6(x403,x402,x404)+~E(x401,x402)+~P6(x403,x401,x404)
% 0.18/0.63 [41]P6(x413,x414,x412)+~E(x411,x412)+~P6(x413,x414,x411)
% 0.18/0.63 [42]P7(x422,x423)+~E(x421,x422)+~P7(x421,x423)
% 0.18/0.63 [43]P7(x433,x432)+~E(x431,x432)+~P7(x433,x431)
% 0.18/0.63
% 0.18/0.63 %-------------------------------------------
% 0.18/0.63 cnf(89,plain,
% 0.18/0.63 (~P4(f2(x891),x891)),
% 0.18/0.63 inference(scs_inference,[],[45,54])).
% 0.18/0.63 cnf(90,plain,
% 0.18/0.63 (P5(f2(x901),x901)),
% 0.18/0.63 inference(scs_inference,[],[45,54,52])).
% 0.18/0.63 cnf(91,plain,
% 0.18/0.63 (P4(f13(a1),a1)),
% 0.18/0.63 inference(scs_inference,[],[44,45,54,52,48])).
% 0.18/0.63 cnf(93,plain,
% 0.18/0.63 (P4(f4(f13(a1),a1),a1)),
% 0.18/0.63 inference(scs_inference,[],[44,45,54,52,48,61])).
% 0.18/0.63 cnf(95,plain,
% 0.18/0.63 (~E(f4(f13(a1),a1),f13(a1))),
% 0.18/0.63 inference(scs_inference,[],[44,45,54,52,48,61,55])).
% 0.18/0.63 cnf(147,plain,
% 0.18/0.63 (P5(f2(x1471),x1471)),
% 0.18/0.63 inference(rename_variables,[],[90])).
% 0.18/0.63 cnf(150,plain,
% 0.18/0.63 (P5(f2(x1501),x1501)),
% 0.18/0.63 inference(rename_variables,[],[90])).
% 0.18/0.63 cnf(155,plain,
% 0.18/0.63 ($false),
% 0.18/0.63 inference(scs_inference,[],[89,90,147,150,95,91,93,2,51,54,66,77,76,53]),
% 0.18/0.63 ['proof']).
% 0.18/0.63 % SZS output end Proof
% 0.18/0.63 % Total time :0.010000s
%------------------------------------------------------------------------------