TSTP Solution File: GEO087+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO087+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 : n001.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 22:42:53 EDT 2023
% Result : Theorem 0.20s 0.65s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 19:48:53 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % File :CSE---1.6
% 0.20/0.64 % Problem :theBenchmark
% 0.20/0.64 % Transform :cnf
% 0.20/0.64 % Format :tptp:raw
% 0.20/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.64
% 0.20/0.64 % Result :Theorem 0.030000s
% 0.20/0.64 % Output :CNFRefutation 0.030000s
% 0.20/0.64 %-------------------------------------------
% 0.20/0.65 %--------------------------------------------------------------------------
% 0.20/0.65 % File : GEO087+1 : TPTP v8.1.2. Released v2.4.0.
% 0.20/0.65 % Domain : Geometry (Oriented curves)
% 0.20/0.65 % Problem : If one curve is part of another curve then they cannot meet
% 0.20/0.65 % Version : [EHK99] axioms.
% 0.20/0.65 % English :
% 0.20/0.65
% 0.20/0.65 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 0.20/0.65 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 0.20/0.65 % Source : [KE99]
% 0.20/0.65 % Names : Corollary 2.9 [KE99]
% 0.20/0.65
% 0.20/0.65 % Status : Theorem
% 0.20/0.65 % Rating : 0.19 v7.5.0, 0.22 v7.4.0, 0.17 v7.1.0, 0.22 v7.0.0, 0.13 v6.4.0, 0.15 v6.3.0, 0.17 v6.2.0, 0.16 v6.1.0, 0.30 v6.0.0, 0.39 v5.5.0, 0.30 v5.4.0, 0.32 v5.3.0, 0.30 v5.2.0, 0.10 v5.0.0, 0.21 v4.1.0, 0.17 v4.0.1, 0.26 v4.0.0, 0.25 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.21 v3.3.0, 0.14 v3.2.0, 0.18 v3.1.0, 0.33 v2.7.0, 0.17 v2.5.0, 0.00 v2.4.0
% 0.20/0.65 % Syntax : Number of formulae : 17 ( 1 unt; 0 def)
% 0.20/0.65 % Number of atoms : 69 ( 10 equ)
% 0.20/0.65 % Maximal formula atoms : 12 ( 4 avg)
% 0.20/0.65 % Number of connectives : 57 ( 5 ~; 9 |; 21 &)
% 0.20/0.65 % ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% 0.20/0.65 % Maximal formula depth : 12 ( 7 avg)
% 0.20/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.65 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 0.20/0.65 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.20/0.65 % Number of variables : 56 ( 46 !; 10 ?)
% 0.20/0.65 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.65
% 0.20/0.65 % Comments :
% 0.20/0.65 %--------------------------------------------------------------------------
% 0.20/0.65 %----Include simple curve axioms
% 0.20/0.65 include('Axioms/GEO004+0.ax').
% 0.20/0.65 %--------------------------------------------------------------------------
% 0.20/0.65 fof(corollary_2_9,conjecture,
% 0.20/0.65 ! [C1,C2] :
% 0.20/0.65 ( part_of(C1,C2)
% 0.20/0.65 => ~ ? [P] : meet(P,C1,C2) ) ).
% 0.20/0.65
% 0.20/0.65 %--------------------------------------------------------------------------
% 0.20/0.65 %-------------------------------------------
% 0.20/0.65 % Proof found
% 0.20/0.65 % SZS status Theorem for theBenchmark
% 0.20/0.65 % SZS output start Proof
% 0.20/0.65 %ClaNum:88(EqnAxiom:43)
% 0.20/0.65 %VarNum:331(SingletonVarNum:113)
% 0.20/0.65 %MaxLitNum:12
% 0.20/0.65 %MaxfuncDepth:2
% 0.20/0.65 %SharedTerms:5
% 0.20/0.65 %goalClause: 44 46
% 0.20/0.65 %singleGoalClaCount:2
% 0.20/0.65 [44]P1(a1,a6)
% 0.20/0.65 [46]P6(a8,a1,a6)
% 0.20/0.65 [45]P2(f7(x451),x451)
% 0.20/0.65 [47]P3(x471)+P4(f9(x471),x471)
% 0.20/0.65 [49]~P7(x491)+P4(f15(x491),x491)
% 0.20/0.65 [48]P7(x481)+~P4(x482,x481)
% 0.20/0.65 [51]~P3(x511)+~P4(x512,x511)
% 0.20/0.65 [52]~P4(x521,x522)+P5(x521,x522)
% 0.20/0.65 [53]~P2(x531,x532)+P5(x531,x532)
% 0.20/0.65 [54]~P2(x541,x542)+~P4(x541,x542)
% 0.20/0.65 [55]~P4(x552,x551)+~E(f2(x551,x552),x552)
% 0.20/0.65 [57]P1(x571,x572)+P5(f10(x572,x571),x571)
% 0.20/0.65 [61]~P4(x612,x611)+P4(f2(x611,x612),x611)
% 0.20/0.65 [68]P1(x681,x682)+~P5(f10(x682,x681),x682)
% 0.20/0.65 [75]~P2(x751,x752)+P6(x751,f17(x752,x751),f3(x752,x751))
% 0.20/0.65 [70]~P2(x702,x701)+E(f16(f17(x701,x702),f3(x701,x702)),x701)
% 0.20/0.65 [71]P5(x711,x712)+~P6(x711,x713,x712)
% 0.20/0.65 [72]P5(x721,x722)+~P6(x721,x722,x723)
% 0.20/0.65 [73]~P6(x733,x731,x732)+E(f5(x731,x732),f16(x731,x732))
% 0.20/0.65 [50]P7(x501)+~P1(x501,x502)+E(x501,x502)
% 0.20/0.65 [56]P2(x561,x562)+~P5(x561,x562)+P4(x561,x562)
% 0.20/0.65 [64]~P5(x641,x642)+P4(x641,x642)+P5(x641,f11(x641,x642))
% 0.20/0.65 [65]~P5(x651,x652)+P4(x651,x652)+P5(x651,f13(x651,x652))
% 0.20/0.65 [66]~P5(x661,x662)+P4(x661,x662)+P1(f11(x661,x662),x662)
% 0.20/0.65 [67]~P5(x671,x672)+P4(x671,x672)+P1(f13(x671,x672),x672)
% 0.20/0.65 [69]E(x691,x692)+P5(f4(x691,x692),x692)+P5(f4(x691,x692),x691)
% 0.20/0.65 [74]E(x741,x742)+~P5(f4(x741,x742),x742)+~P5(f4(x741,x742),x741)
% 0.20/0.65 [76]~P5(x761,x762)+P4(x761,x762)+~P1(f11(x761,x762),f13(x761,x762))
% 0.20/0.65 [77]~P5(x771,x772)+P4(x771,x772)+~P1(f13(x771,x772),f11(x771,x772))
% 0.20/0.65 [58]~P5(x581,x583)+P5(x581,x582)+~P1(x583,x582)
% 0.20/0.65 [86]~P5(f12(x861,x862,x863),x863)+~P5(f12(x861,x862,x863),x861)+E(x861,f16(x862,x863))
% 0.20/0.65 [87]~P5(f12(x871,x872,x873),x872)+~P5(f12(x871,x872,x873),x871)+E(x871,f16(x872,x873))
% 0.20/0.65 [59]~P5(x591,x594)+P5(x591,x592)+~E(x592,f16(x593,x594))
% 0.20/0.65 [60]~P5(x601,x603)+P5(x601,x602)+~E(x602,f16(x603,x604))
% 0.20/0.65 [82]~P5(x821,x823)+~P5(x821,x822)+P6(x821,x822,x823)+P5(f14(x821,x822,x823),x823)
% 0.20/0.65 [83]~P5(x831,x833)+~P5(x831,x832)+P6(x831,x832,x833)+P5(f14(x831,x832,x833),x832)
% 0.20/0.65 [85]P5(f12(x851,x852,x853),x853)+P5(f12(x851,x852,x853),x852)+P5(f12(x851,x852,x853),x851)+E(x851,f16(x852,x853))
% 0.20/0.65 [79]~P5(x791,x792)+P4(x791,x792)+~P6(x794,x793,x792)+~P5(x791,x793)
% 0.20/0.65 [80]~P5(x801,x802)+P4(x801,x802)+~P6(x804,x802,x803)+~P5(x801,x803)
% 0.20/0.65 [63]~P5(x631,x634)+P5(x631,x632)+P5(x631,x633)+~E(x634,f16(x633,x632))
% 0.20/0.65 [88]~P5(x881,x883)+~P5(x881,x882)+P6(x881,x882,x883)+~P4(f14(x881,x882,x883),x883)+~P4(f14(x881,x882,x883),x882)
% 0.20/0.65 [81]~P3(x814)+~P4(x811,x812)+P6(x811,x812,x813)+~P6(x815,x812,x813)+~E(x814,f16(x812,x813))
% 0.20/0.65 [62]E(x623,x621)+~P4(x621,x624)+~P4(x623,x624)+E(x621,x622)+E(x623,x622)+~P4(x622,x624)
% 0.20/0.65 [78]P1(x782,x781)+~P1(x782,x783)+~P5(x784,x782)+~P4(x784,x783)+P1(x781,x782)+~P1(x781,x783)+~P5(x784,x781)
% 0.20/0.65 [84]P1(x842,x841)+P1(x842,x843)+P1(x843,x841)+P1(x843,x842)+~P1(x842,x844)+~P1(x843,x844)+~P4(x845,x842)+~P4(x845,x843)+P1(x841,x842)+P1(x841,x843)+~P1(x841,x844)+~P4(x845,x841)
% 0.20/0.65 %EqnAxiom
% 0.20/0.65 [1]E(x11,x11)
% 0.20/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.65 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.20/0.65 [5]~E(x51,x52)+E(f9(x51),f9(x52))
% 0.20/0.65 [6]~E(x61,x62)+E(f15(x61),f15(x62))
% 0.20/0.65 [7]~E(x71,x72)+E(f2(x71,x73),f2(x72,x73))
% 0.20/0.65 [8]~E(x81,x82)+E(f2(x83,x81),f2(x83,x82))
% 0.20/0.65 [9]~E(x91,x92)+E(f10(x91,x93),f10(x92,x93))
% 0.20/0.65 [10]~E(x101,x102)+E(f10(x103,x101),f10(x103,x102))
% 0.20/0.65 [11]~E(x111,x112)+E(f16(x111,x113),f16(x112,x113))
% 0.20/0.65 [12]~E(x121,x122)+E(f16(x123,x121),f16(x123,x122))
% 0.20/0.65 [13]~E(x131,x132)+E(f12(x131,x133,x134),f12(x132,x133,x134))
% 0.20/0.66 [14]~E(x141,x142)+E(f12(x143,x141,x144),f12(x143,x142,x144))
% 0.20/0.66 [15]~E(x151,x152)+E(f12(x153,x154,x151),f12(x153,x154,x152))
% 0.20/0.66 [16]~E(x161,x162)+E(f14(x161,x163,x164),f14(x162,x163,x164))
% 0.20/0.66 [17]~E(x171,x172)+E(f14(x173,x171,x174),f14(x173,x172,x174))
% 0.20/0.66 [18]~E(x181,x182)+E(f14(x183,x184,x181),f14(x183,x184,x182))
% 0.20/0.66 [19]~E(x191,x192)+E(f13(x191,x193),f13(x192,x193))
% 0.20/0.66 [20]~E(x201,x202)+E(f13(x203,x201),f13(x203,x202))
% 0.20/0.66 [21]~E(x211,x212)+E(f11(x211,x213),f11(x212,x213))
% 0.20/0.66 [22]~E(x221,x222)+E(f11(x223,x221),f11(x223,x222))
% 0.20/0.66 [23]~E(x231,x232)+E(f3(x231,x233),f3(x232,x233))
% 0.20/0.66 [24]~E(x241,x242)+E(f3(x243,x241),f3(x243,x242))
% 0.20/0.66 [25]~E(x251,x252)+E(f4(x251,x253),f4(x252,x253))
% 0.20/0.66 [26]~E(x261,x262)+E(f4(x263,x261),f4(x263,x262))
% 0.20/0.66 [27]~E(x271,x272)+E(f17(x271,x273),f17(x272,x273))
% 0.20/0.66 [28]~E(x281,x282)+E(f17(x283,x281),f17(x283,x282))
% 0.20/0.66 [29]~E(x291,x292)+E(f5(x291,x293),f5(x292,x293))
% 0.20/0.66 [30]~E(x301,x302)+E(f5(x303,x301),f5(x303,x302))
% 0.20/0.66 [31]P1(x312,x313)+~E(x311,x312)+~P1(x311,x313)
% 0.20/0.66 [32]P1(x323,x322)+~E(x321,x322)+~P1(x323,x321)
% 0.20/0.66 [33]P2(x332,x333)+~E(x331,x332)+~P2(x331,x333)
% 0.20/0.66 [34]P2(x343,x342)+~E(x341,x342)+~P2(x343,x341)
% 0.20/0.66 [35]P6(x352,x353,x354)+~E(x351,x352)+~P6(x351,x353,x354)
% 0.20/0.66 [36]P6(x363,x362,x364)+~E(x361,x362)+~P6(x363,x361,x364)
% 0.20/0.66 [37]P6(x373,x374,x372)+~E(x371,x372)+~P6(x373,x374,x371)
% 0.20/0.66 [38]~P3(x381)+P3(x382)+~E(x381,x382)
% 0.20/0.66 [39]P4(x392,x393)+~E(x391,x392)+~P4(x391,x393)
% 0.20/0.66 [40]P4(x403,x402)+~E(x401,x402)+~P4(x403,x401)
% 0.20/0.66 [41]~P7(x411)+P7(x412)+~E(x411,x412)
% 0.20/0.66 [42]P5(x422,x423)+~E(x421,x422)+~P5(x421,x423)
% 0.20/0.66 [43]P5(x433,x432)+~E(x431,x432)+~P5(x433,x431)
% 0.20/0.66
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 cnf(91,plain,
% 0.20/0.66 (~P4(f7(x911),x911)),
% 0.20/0.66 inference(scs_inference,[],[46,45,72,71,54])).
% 0.20/0.66 cnf(93,plain,
% 0.20/0.66 (P5(f7(x931),x931)),
% 0.20/0.66 inference(scs_inference,[],[46,45,72,71,54,53])).
% 0.20/0.66 cnf(95,plain,
% 0.20/0.66 (P6(f7(x951),f17(x951,f7(x951)),f3(x951,f7(x951)))),
% 0.20/0.66 inference(scs_inference,[],[46,45,72,71,54,53,75])).
% 0.20/0.66 cnf(97,plain,
% 0.20/0.66 (E(f5(a1,a6),f16(a1,a6))),
% 0.20/0.66 inference(scs_inference,[],[46,45,72,71,54,53,75,73])).
% 0.20/0.66 cnf(107,plain,
% 0.20/0.66 (~P6(x1071,f16(a1,a6),f16(a1,a6))),
% 0.20/0.66 inference(scs_inference,[],[46,45,72,71,54,53,75,73,40,39,60,67,66,80])).
% 0.20/0.66 cnf(111,plain,
% 0.20/0.66 (E(f16(a1,a6),f5(a1,a6))),
% 0.20/0.66 inference(scs_inference,[],[46,45,72,71,54,53,75,73,40,39,60,67,66,80,83,2])).
% 0.20/0.66 cnf(167,plain,
% 0.20/0.66 (P5(f7(x1671),x1671)),
% 0.20/0.66 inference(rename_variables,[],[93])).
% 0.20/0.66 cnf(170,plain,
% 0.20/0.66 (P5(f7(x1701),x1701)),
% 0.20/0.66 inference(rename_variables,[],[93])).
% 0.20/0.66 cnf(171,plain,
% 0.20/0.66 (~P4(f7(x1711),x1711)),
% 0.20/0.66 inference(rename_variables,[],[91])).
% 0.20/0.66 cnf(174,plain,
% 0.20/0.66 (P5(f7(x1741),x1741)),
% 0.20/0.66 inference(rename_variables,[],[93])).
% 0.20/0.66 cnf(178,plain,
% 0.20/0.66 (P5(f7(x1781),x1781)),
% 0.20/0.66 inference(rename_variables,[],[93])).
% 0.20/0.66 cnf(181,plain,
% 0.20/0.66 (P5(f7(x1811),x1811)),
% 0.20/0.66 inference(rename_variables,[],[93])).
% 0.20/0.66 cnf(184,plain,
% 0.20/0.66 (P5(f7(x1841),x1841)),
% 0.20/0.66 inference(rename_variables,[],[93])).
% 0.20/0.66 cnf(187,plain,
% 0.20/0.66 (P5(f7(x1871),x1871)),
% 0.20/0.66 inference(rename_variables,[],[93])).
% 0.20/0.66 cnf(190,plain,
% 0.20/0.66 (P5(f7(x1901),x1901)),
% 0.20/0.66 inference(rename_variables,[],[93])).
% 0.20/0.66 cnf(200,plain,
% 0.20/0.66 (P5(f7(x2001),x2001)),
% 0.20/0.66 inference(rename_variables,[],[93])).
% 0.20/0.66 cnf(202,plain,
% 0.20/0.66 (~P4(f7(x2021),x2021)),
% 0.20/0.66 inference(rename_variables,[],[91])).
% 0.20/0.66 cnf(208,plain,
% 0.20/0.66 (P5(f7(x2081),x2081)),
% 0.20/0.66 inference(rename_variables,[],[93])).
% 0.20/0.66 cnf(210,plain,
% 0.20/0.66 ($false),
% 0.20/0.66 inference(scs_inference,[],[44,46,45,95,91,171,202,93,167,170,174,178,181,184,187,190,200,208,107,111,97,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,3,76,79,63,88,58,60,59,66,72,71,53,2,43,40,37,35,33,67,80]),
% 0.20/0.66 ['proof']).
% 0.20/0.66 % SZS output end Proof
% 0.20/0.66 % Total time :0.030000s
%------------------------------------------------------------------------------