TSTP Solution File: GEO086+1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO086+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 : n010.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 : Theorem 0.53s 0.66s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:01:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.53/0.66 %-------------------------------------------
% 0.53/0.66 % File :CSE---1.6
% 0.53/0.66 % Problem :theBenchmark
% 0.53/0.66 % Transform :cnf
% 0.53/0.66 % Format :tptp:raw
% 0.53/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.66
% 0.53/0.66 % Result :Theorem 0.050000s
% 0.53/0.66 % Output :CNFRefutation 0.050000s
% 0.53/0.66 %-------------------------------------------
% 0.53/0.66 %--------------------------------------------------------------------------
% 0.53/0.66 % File : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% 0.53/0.66 % Domain : Geometry (Oriented curves)
% 0.53/0.66 % Problem : Every sub-curve of an open curve is open
% 0.53/0.66 % Version : [EHK99] axioms.
% 0.53/0.66 % English :
% 0.53/0.66
% 0.53/0.66 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 0.53/0.66 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 0.53/0.66 % Source : [KE99]
% 0.53/0.66 % Names : Theorem 2.7 (2) [KE99]
% 0.53/0.66
% 0.53/0.66 % Status : Theorem
% 0.53/0.66 % Rating : 0.17 v7.5.0, 0.19 v7.4.0, 0.13 v7.3.0, 0.14 v7.2.0, 0.10 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.08 v6.2.0, 0.16 v6.1.0, 0.27 v6.0.0, 0.17 v5.5.0, 0.15 v5.4.0, 0.14 v5.3.0, 0.22 v5.2.0, 0.10 v5.0.0, 0.17 v4.0.1, 0.22 v4.0.0, 0.21 v3.7.0, 0.15 v3.5.0, 0.16 v3.4.0, 0.11 v3.3.0, 0.14 v3.2.0, 0.18 v3.1.0, 0.22 v2.7.0, 0.17 v2.5.0, 0.00 v2.4.0
% 0.53/0.66 % Syntax : Number of formulae : 17 ( 1 unt; 0 def)
% 0.53/0.66 % Number of atoms : 70 ( 10 equ)
% 0.53/0.66 % Maximal formula atoms : 12 ( 4 avg)
% 0.53/0.66 % Number of connectives : 57 ( 4 ~; 9 |; 22 &)
% 0.53/0.66 % ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% 0.53/0.66 % Maximal formula depth : 12 ( 7 avg)
% 0.53/0.66 % Maximal term depth : 2 ( 1 avg)
% 0.53/0.66 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 0.53/0.66 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.53/0.66 % Number of variables : 55 ( 46 !; 9 ?)
% 0.53/0.66 % SPC : FOF_THM_RFO_SEQ
% 0.53/0.66
% 0.53/0.66 % Comments :
% 0.53/0.66 %--------------------------------------------------------------------------
% 0.53/0.66 %----Include simple curve axioms
% 0.53/0.66 include('Axioms/GEO004+0.ax').
% 0.53/0.66 %--------------------------------------------------------------------------
% 0.53/0.66 fof(theorem_2_7_2,conjecture,
% 0.53/0.66 ! [C,Cpp] :
% 0.53/0.66 ( ( open(C)
% 0.53/0.66 & part_of(Cpp,C) )
% 0.53/0.66 => open(Cpp) ) ).
% 0.53/0.66
% 0.53/0.66 %--------------------------------------------------------------------------
% 0.53/0.66 %-------------------------------------------
% 0.53/0.66 % Proof found
% 0.53/0.66 % SZS status Theorem for theBenchmark
% 0.53/0.66 % SZS output start Proof
% 0.53/0.67 %ClaNum:89(EqnAxiom:43)
% 0.53/0.67 %VarNum:331(SingletonVarNum:113)
% 0.53/0.67 %MaxLitNum:12
% 0.53/0.67 %MaxfuncDepth:2
% 0.53/0.67 %SharedTerms:5
% 0.53/0.67 %goalClause: 44 45 47
% 0.53/0.67 %singleGoalClaCount:3
% 0.53/0.67 [44]P1(a1)
% 0.53/0.67 [45]P7(a6,a1)
% 0.53/0.67 [47]~P1(a6)
% 0.53/0.67 [46]P2(f7(x461),x461)
% 0.53/0.67 [48]P3(x481)+P4(f8(x481),x481)
% 0.53/0.67 [50]~P1(x501)+P4(f14(x501),x501)
% 0.53/0.67 [49]P1(x491)+~P4(x492,x491)
% 0.53/0.67 [52]~P3(x521)+~P4(x522,x521)
% 0.53/0.67 [53]~P4(x531,x532)+P5(x531,x532)
% 0.53/0.67 [54]~P2(x541,x542)+P5(x541,x542)
% 0.53/0.67 [55]~P2(x551,x552)+~P4(x551,x552)
% 0.53/0.67 [56]~P4(x562,x561)+~E(f2(x561,x562),x562)
% 0.53/0.67 [58]P7(x581,x582)+P5(f9(x582,x581),x581)
% 0.53/0.67 [62]~P4(x622,x621)+P4(f2(x621,x622),x621)
% 0.53/0.67 [69]P7(x691,x692)+~P5(f9(x692,x691),x692)
% 0.53/0.67 [76]~P2(x761,x762)+P6(x761,f16(x762,x761),f3(x762,x761))
% 0.53/0.67 [71]~P2(x712,x711)+E(f15(f16(x711,x712),f3(x711,x712)),x711)
% 0.53/0.67 [72]P5(x721,x722)+~P6(x721,x723,x722)
% 0.53/0.67 [73]P5(x731,x732)+~P6(x731,x732,x733)
% 0.53/0.67 [74]~P6(x743,x741,x742)+E(f5(x741,x742),f15(x741,x742))
% 0.53/0.67 [51]P1(x511)+~P7(x511,x512)+E(x511,x512)
% 0.53/0.67 [57]P2(x571,x572)+~P5(x571,x572)+P4(x571,x572)
% 0.53/0.67 [65]~P5(x651,x652)+P4(x651,x652)+P5(x651,f10(x651,x652))
% 0.53/0.67 [66]~P5(x661,x662)+P4(x661,x662)+P5(x661,f12(x661,x662))
% 0.53/0.67 [67]~P5(x671,x672)+P4(x671,x672)+P7(f10(x671,x672),x672)
% 0.53/0.67 [68]~P5(x681,x682)+P4(x681,x682)+P7(f12(x681,x682),x682)
% 0.53/0.67 [70]E(x701,x702)+P5(f4(x701,x702),x702)+P5(f4(x701,x702),x701)
% 0.53/0.67 [75]E(x751,x752)+~P5(f4(x751,x752),x752)+~P5(f4(x751,x752),x751)
% 0.53/0.67 [77]~P5(x771,x772)+P4(x771,x772)+~P7(f10(x771,x772),f12(x771,x772))
% 0.53/0.67 [78]~P5(x781,x782)+P4(x781,x782)+~P7(f12(x781,x782),f10(x781,x782))
% 0.53/0.67 [59]~P5(x591,x593)+P5(x591,x592)+~P7(x593,x592)
% 0.53/0.67 [87]~P5(f11(x871,x872,x873),x873)+~P5(f11(x871,x872,x873),x871)+E(x871,f15(x872,x873))
% 0.53/0.67 [88]~P5(f11(x881,x882,x883),x882)+~P5(f11(x881,x882,x883),x881)+E(x881,f15(x882,x883))
% 0.53/0.67 [60]~P5(x601,x604)+P5(x601,x602)+~E(x602,f15(x603,x604))
% 0.53/0.67 [61]~P5(x611,x613)+P5(x611,x612)+~E(x612,f15(x613,x614))
% 0.53/0.67 [83]~P5(x831,x833)+~P5(x831,x832)+P6(x831,x832,x833)+P5(f13(x831,x832,x833),x833)
% 0.53/0.67 [84]~P5(x841,x843)+~P5(x841,x842)+P6(x841,x842,x843)+P5(f13(x841,x842,x843),x842)
% 0.53/0.67 [86]P5(f11(x861,x862,x863),x863)+P5(f11(x861,x862,x863),x862)+P5(f11(x861,x862,x863),x861)+E(x861,f15(x862,x863))
% 0.53/0.67 [80]~P5(x801,x802)+P4(x801,x802)+~P6(x804,x803,x802)+~P5(x801,x803)
% 0.53/0.67 [81]~P5(x811,x812)+P4(x811,x812)+~P6(x814,x812,x813)+~P5(x811,x813)
% 0.53/0.67 [64]~P5(x641,x644)+P5(x641,x642)+P5(x641,x643)+~E(x644,f15(x643,x642))
% 0.53/0.67 [89]~P5(x891,x893)+~P5(x891,x892)+P6(x891,x892,x893)+~P4(f13(x891,x892,x893),x893)+~P4(f13(x891,x892,x893),x892)
% 0.53/0.67 [82]~P3(x824)+~P4(x821,x822)+P6(x821,x822,x823)+~P6(x825,x822,x823)+~E(x824,f15(x822,x823))
% 0.53/0.67 [63]E(x633,x631)+~P4(x631,x634)+~P4(x633,x634)+E(x631,x632)+E(x633,x632)+~P4(x632,x634)
% 0.53/0.67 [79]P7(x792,x791)+~P7(x792,x793)+~P5(x794,x792)+~P4(x794,x793)+P7(x791,x792)+~P7(x791,x793)+~P5(x794,x791)
% 0.53/0.67 [85]P7(x852,x851)+P7(x852,x853)+P7(x853,x851)+P7(x853,x852)+~P7(x852,x854)+~P7(x853,x854)+~P4(x855,x852)+~P4(x855,x853)+P7(x851,x852)+P7(x851,x853)+~P7(x851,x854)+~P4(x855,x851)
% 0.53/0.67 %EqnAxiom
% 0.53/0.67 [1]E(x11,x11)
% 0.53/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.67 [4]~E(x41,x42)+E(f7(x41),f7(x42))
% 0.53/0.67 [5]~E(x51,x52)+E(f8(x51),f8(x52))
% 0.53/0.67 [6]~E(x61,x62)+E(f14(x61),f14(x62))
% 0.53/0.67 [7]~E(x71,x72)+E(f2(x71,x73),f2(x72,x73))
% 0.53/0.67 [8]~E(x81,x82)+E(f2(x83,x81),f2(x83,x82))
% 0.53/0.67 [9]~E(x91,x92)+E(f9(x91,x93),f9(x92,x93))
% 0.53/0.67 [10]~E(x101,x102)+E(f9(x103,x101),f9(x103,x102))
% 0.53/0.67 [11]~E(x111,x112)+E(f15(x111,x113),f15(x112,x113))
% 0.53/0.67 [12]~E(x121,x122)+E(f15(x123,x121),f15(x123,x122))
% 0.53/0.67 [13]~E(x131,x132)+E(f11(x131,x133,x134),f11(x132,x133,x134))
% 0.53/0.67 [14]~E(x141,x142)+E(f11(x143,x141,x144),f11(x143,x142,x144))
% 0.53/0.67 [15]~E(x151,x152)+E(f11(x153,x154,x151),f11(x153,x154,x152))
% 0.53/0.67 [16]~E(x161,x162)+E(f13(x161,x163,x164),f13(x162,x163,x164))
% 0.53/0.67 [17]~E(x171,x172)+E(f13(x173,x171,x174),f13(x173,x172,x174))
% 0.53/0.67 [18]~E(x181,x182)+E(f13(x183,x184,x181),f13(x183,x184,x182))
% 0.53/0.67 [19]~E(x191,x192)+E(f12(x191,x193),f12(x192,x193))
% 0.53/0.67 [20]~E(x201,x202)+E(f12(x203,x201),f12(x203,x202))
% 0.53/0.67 [21]~E(x211,x212)+E(f10(x211,x213),f10(x212,x213))
% 0.53/0.67 [22]~E(x221,x222)+E(f10(x223,x221),f10(x223,x222))
% 0.53/0.67 [23]~E(x231,x232)+E(f3(x231,x233),f3(x232,x233))
% 0.53/0.67 [24]~E(x241,x242)+E(f3(x243,x241),f3(x243,x242))
% 0.53/0.67 [25]~E(x251,x252)+E(f4(x251,x253),f4(x252,x253))
% 0.53/0.67 [26]~E(x261,x262)+E(f4(x263,x261),f4(x263,x262))
% 0.53/0.67 [27]~E(x271,x272)+E(f16(x271,x273),f16(x272,x273))
% 0.53/0.67 [28]~E(x281,x282)+E(f16(x283,x281),f16(x283,x282))
% 0.53/0.67 [29]~E(x291,x292)+E(f5(x291,x293),f5(x292,x293))
% 0.53/0.67 [30]~E(x301,x302)+E(f5(x303,x301),f5(x303,x302))
% 0.53/0.67 [31]~P1(x311)+P1(x312)+~E(x311,x312)
% 0.53/0.67 [32]P7(x322,x323)+~E(x321,x322)+~P7(x321,x323)
% 0.53/0.67 [33]P7(x333,x332)+~E(x331,x332)+~P7(x333,x331)
% 0.53/0.67 [34]P2(x342,x343)+~E(x341,x342)+~P2(x341,x343)
% 0.53/0.67 [35]P2(x353,x352)+~E(x351,x352)+~P2(x353,x351)
% 0.53/0.67 [36]P4(x362,x363)+~E(x361,x362)+~P4(x361,x363)
% 0.53/0.67 [37]P4(x373,x372)+~E(x371,x372)+~P4(x373,x371)
% 0.53/0.67 [38]~P3(x381)+P3(x382)+~E(x381,x382)
% 0.53/0.67 [39]P5(x392,x393)+~E(x391,x392)+~P5(x391,x393)
% 0.53/0.67 [40]P5(x403,x402)+~E(x401,x402)+~P5(x403,x401)
% 0.53/0.67 [41]P6(x412,x413,x414)+~E(x411,x412)+~P6(x411,x413,x414)
% 0.53/0.67 [42]P6(x423,x422,x424)+~E(x421,x422)+~P6(x423,x421,x424)
% 0.53/0.67 [43]P6(x433,x434,x432)+~E(x431,x432)+~P6(x433,x434,x431)
% 0.53/0.67
% 0.53/0.67 %-------------------------------------------
% 0.53/0.67 cnf(94,plain,
% 0.53/0.67 (P5(f7(x941),x941)),
% 0.53/0.67 inference(scs_inference,[],[47,46,49,48,55,54])).
% 0.53/0.67 cnf(96,plain,
% 0.53/0.67 (P4(f14(a1),a1)),
% 0.53/0.67 inference(scs_inference,[],[44,47,46,49,48,55,54,50])).
% 0.53/0.67 cnf(102,plain,
% 0.53/0.67 (P6(f7(x1021),f16(x1021,f7(x1021)),f3(x1021,f7(x1021)))),
% 0.53/0.67 inference(scs_inference,[],[44,47,46,49,48,55,54,50,62,56,76])).
% 0.53/0.67 cnf(104,plain,
% 0.53/0.67 (~E(a6,x1041)+P3(x1041)),
% 0.53/0.67 inference(scs_inference,[],[44,47,46,49,48,55,54,50,62,56,76,38])).
% 0.53/0.67 cnf(107,plain,
% 0.53/0.67 (E(a6,a1)),
% 0.53/0.67 inference(scs_inference,[],[44,45,47,46,49,48,55,54,50,62,56,76,38,36,31,51])).
% 0.53/0.67 cnf(109,plain,
% 0.53/0.67 (P7(f12(f7(a1),a1),a1)),
% 0.53/0.67 inference(scs_inference,[],[44,45,47,46,49,48,55,54,50,62,56,76,38,36,31,51,68])).
% 0.53/0.67 cnf(117,plain,
% 0.53/0.67 (~P7(f12(f7(a1),a1),f10(f7(a1),a1))),
% 0.53/0.67 inference(scs_inference,[],[44,45,47,46,49,48,55,54,50,62,56,76,38,36,31,51,68,67,66,65,78])).
% 0.53/0.67 cnf(121,plain,
% 0.53/0.67 (~P6(x1211,a1,a1)),
% 0.53/0.67 inference(scs_inference,[],[44,45,47,46,49,48,55,54,50,62,56,76,38,36,31,51,68,67,66,65,78,77,81])).
% 0.53/0.67 cnf(181,plain,
% 0.53/0.67 (P5(f7(x1811),x1811)),
% 0.53/0.67 inference(rename_variables,[],[94])).
% 0.53/0.67 cnf(183,plain,
% 0.53/0.67 (P5(f7(x1831),x1831)),
% 0.53/0.67 inference(rename_variables,[],[94])).
% 0.53/0.67 cnf(185,plain,
% 0.53/0.67 (P2(f7(x1851),x1851)),
% 0.53/0.67 inference(rename_variables,[],[46])).
% 0.53/0.67 cnf(198,plain,
% 0.53/0.67 ($false),
% 0.53/0.67 inference(scs_inference,[],[46,185,102,94,181,183,117,96,121,109,107,104,53,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,41,40,39,35,34,33,3,61,60,83,55,52]),
% 0.53/0.67 ['proof']).
% 0.53/0.67 % SZS output end Proof
% 0.53/0.67 % Total time :0.050000s
%------------------------------------------------------------------------------