TSTP Solution File: GEO080+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO080+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 : n026.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 0.20s 0.67s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO080+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n026.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 23:02:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.60 start to proof:theBenchmark
% 0.20/0.66 %-------------------------------------------
% 0.20/0.66 % File :CSE---1.6
% 0.20/0.66 % Problem :theBenchmark
% 0.20/0.66 % Transform :cnf
% 0.20/0.66 % Format :tptp:raw
% 0.20/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.66
% 0.20/0.66 % Result :Theorem 0.000000s
% 0.20/0.66 % Output :CNFRefutation 0.000000s
% 0.20/0.66 %-------------------------------------------
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 % File : GEO080+1 : TPTP v8.1.2. Released v2.4.0.
% 0.20/0.67 % Domain : Geometry (Oriented curves)
% 0.20/0.67 % Problem : Reflexivity of part_of
% 0.20/0.67 % Version : [EHK99] axioms.
% 0.20/0.67 % English :
% 0.20/0.67
% 0.20/0.67 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 0.20/0.67 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 0.20/0.67 % Source : [KE99]
% 0.20/0.67 % Names : Theorem 2.5 [KE99]
% 0.20/0.67
% 0.20/0.67 % Status : Theorem
% 0.20/0.67 % Rating : 0.08 v8.1.0, 0.06 v7.4.0, 0.07 v7.2.0, 0.03 v7.1.0, 0.00 v6.4.0, 0.04 v6.3.0, 0.08 v6.2.0, 0.04 v6.1.0, 0.13 v6.0.0, 0.17 v5.5.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.05 v5.0.0, 0.04 v4.0.1, 0.09 v4.0.0, 0.08 v3.7.0, 0.05 v3.3.0, 0.07 v3.2.0, 0.18 v3.1.0, 0.11 v2.7.0, 0.00 v2.4.0
% 0.20/0.67 % Syntax : Number of formulae : 17 ( 2 unt; 0 def)
% 0.20/0.67 % Number of atoms : 68 ( 10 equ)
% 0.20/0.67 % Maximal formula atoms : 12 ( 4 avg)
% 0.20/0.67 % Number of connectives : 55 ( 4 ~; 9 |; 21 &)
% 0.20/0.67 % ( 9 <=>; 12 =>; 0 <=; 0 <~>)
% 0.20/0.67 % Maximal formula depth : 12 ( 7 avg)
% 0.20/0.67 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.67 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 0.20/0.67 % Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.20/0.67 % Number of variables : 54 ( 45 !; 9 ?)
% 0.20/0.67 % SPC : FOF_THM_RFO_SEQ
% 0.20/0.67
% 0.20/0.67 % Comments :
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 %----Include simple curve axioms
% 0.20/0.67 include('Axioms/GEO004+0.ax').
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 fof(prove_reflexivity,conjecture,
% 0.20/0.67 ! [C] : part_of(C,C) ).
% 0.20/0.67
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % Proof found
% 0.20/0.67 % SZS status Theorem for theBenchmark
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 %ClaNum:87(EqnAxiom:43)
% 0.20/0.67 %VarNum:331(SingletonVarNum:113)
% 0.20/0.67 %MaxLitNum:12
% 0.20/0.67 %MaxfuncDepth:2
% 0.20/0.67 %SharedTerms:2
% 0.20/0.67 %goalClause: 45
% 0.20/0.67 %singleGoalClaCount:1
% 0.20/0.67 [45]~P5(a2,a2)
% 0.20/0.67 [44]P1(f1(x441),x441)
% 0.20/0.67 [46]P2(x461)+P3(f7(x461),x461)
% 0.20/0.67 [48]~P6(x481)+P3(f13(x481),x481)
% 0.20/0.67 [47]P6(x471)+~P3(x472,x471)
% 0.20/0.67 [50]~P2(x501)+~P3(x502,x501)
% 0.20/0.67 [51]~P3(x511,x512)+P4(x511,x512)
% 0.20/0.67 [52]~P1(x521,x522)+P4(x521,x522)
% 0.20/0.67 [53]~P1(x531,x532)+~P3(x531,x532)
% 0.20/0.67 [54]~P3(x542,x541)+~E(f3(x541,x542),x542)
% 0.20/0.67 [56]P5(x561,x562)+P4(f8(x562,x561),x561)
% 0.20/0.67 [60]~P3(x602,x601)+P3(f3(x601,x602),x601)
% 0.20/0.67 [67]P5(x671,x672)+~P4(f8(x672,x671),x672)
% 0.20/0.67 [74]~P1(x741,x742)+P7(x741,f15(x742,x741),f4(x742,x741))
% 0.20/0.67 [69]~P1(x692,x691)+E(f14(f15(x691,x692),f4(x691,x692)),x691)
% 0.20/0.67 [70]P4(x701,x702)+~P7(x701,x703,x702)
% 0.20/0.67 [71]P4(x711,x712)+~P7(x711,x712,x713)
% 0.20/0.67 [72]~P7(x723,x721,x722)+E(f6(x721,x722),f14(x721,x722))
% 0.20/0.67 [49]P6(x491)+~P5(x491,x492)+E(x491,x492)
% 0.20/0.67 [55]P1(x551,x552)+~P4(x551,x552)+P3(x551,x552)
% 0.20/0.67 [63]~P4(x631,x632)+P3(x631,x632)+P4(x631,f9(x631,x632))
% 0.20/0.67 [64]~P4(x641,x642)+P3(x641,x642)+P4(x641,f11(x641,x642))
% 0.20/0.67 [65]~P4(x651,x652)+P3(x651,x652)+P5(f9(x651,x652),x652)
% 0.20/0.67 [66]~P4(x661,x662)+P3(x661,x662)+P5(f11(x661,x662),x662)
% 0.20/0.67 [68]E(x681,x682)+P4(f5(x681,x682),x682)+P4(f5(x681,x682),x681)
% 0.20/0.67 [73]E(x731,x732)+~P4(f5(x731,x732),x732)+~P4(f5(x731,x732),x731)
% 0.20/0.67 [75]~P4(x751,x752)+P3(x751,x752)+~P5(f9(x751,x752),f11(x751,x752))
% 0.20/0.67 [76]~P4(x761,x762)+P3(x761,x762)+~P5(f11(x761,x762),f9(x761,x762))
% 0.20/0.67 [57]~P4(x571,x573)+P4(x571,x572)+~P5(x573,x572)
% 0.20/0.67 [85]~P4(f10(x851,x852,x853),x853)+~P4(f10(x851,x852,x853),x851)+E(x851,f14(x852,x853))
% 0.20/0.67 [86]~P4(f10(x861,x862,x863),x862)+~P4(f10(x861,x862,x863),x861)+E(x861,f14(x862,x863))
% 0.20/0.67 [58]~P4(x581,x584)+P4(x581,x582)+~E(x582,f14(x583,x584))
% 0.20/0.67 [59]~P4(x591,x593)+P4(x591,x592)+~E(x592,f14(x593,x594))
% 0.20/0.67 [81]~P4(x811,x813)+~P4(x811,x812)+P7(x811,x812,x813)+P4(f12(x811,x812,x813),x813)
% 0.20/0.67 [82]~P4(x821,x823)+~P4(x821,x822)+P7(x821,x822,x823)+P4(f12(x821,x822,x823),x822)
% 0.20/0.67 [84]P4(f10(x841,x842,x843),x843)+P4(f10(x841,x842,x843),x842)+P4(f10(x841,x842,x843),x841)+E(x841,f14(x842,x843))
% 0.20/0.67 [78]~P4(x781,x782)+P3(x781,x782)+~P7(x784,x783,x782)+~P4(x781,x783)
% 0.20/0.67 [79]~P4(x791,x792)+P3(x791,x792)+~P7(x794,x792,x793)+~P4(x791,x793)
% 0.20/0.67 [62]~P4(x621,x624)+P4(x621,x622)+P4(x621,x623)+~E(x624,f14(x623,x622))
% 0.20/0.67 [87]~P4(x871,x873)+~P4(x871,x872)+P7(x871,x872,x873)+~P3(f12(x871,x872,x873),x873)+~P3(f12(x871,x872,x873),x872)
% 0.20/0.67 [80]~P2(x804)+~P3(x801,x802)+P7(x801,x802,x803)+~P7(x805,x802,x803)+~E(x804,f14(x802,x803))
% 0.20/0.67 [61]E(x613,x611)+~P3(x611,x614)+~P3(x613,x614)+E(x611,x612)+E(x613,x612)+~P3(x612,x614)
% 0.20/0.67 [77]P5(x772,x771)+~P5(x772,x773)+~P4(x774,x772)+~P3(x774,x773)+P5(x771,x772)+~P5(x771,x773)+~P4(x774,x771)
% 0.20/0.67 [83]P5(x832,x831)+P5(x832,x833)+P5(x833,x831)+P5(x833,x832)+~P5(x832,x834)+~P5(x833,x834)+~P3(x835,x832)+~P3(x835,x833)+P5(x831,x832)+P5(x831,x833)+~P5(x831,x834)+~P3(x835,x831)
% 0.20/0.67 %EqnAxiom
% 0.20/0.67 [1]E(x11,x11)
% 0.20/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.67 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.20/0.67 [5]~E(x51,x52)+E(f7(x51),f7(x52))
% 0.20/0.67 [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 0.20/0.67 [7]~E(x71,x72)+E(f3(x71,x73),f3(x72,x73))
% 0.20/0.67 [8]~E(x81,x82)+E(f3(x83,x81),f3(x83,x82))
% 0.20/0.67 [9]~E(x91,x92)+E(f8(x91,x93),f8(x92,x93))
% 0.20/0.67 [10]~E(x101,x102)+E(f8(x103,x101),f8(x103,x102))
% 0.20/0.67 [11]~E(x111,x112)+E(f14(x111,x113),f14(x112,x113))
% 0.20/0.67 [12]~E(x121,x122)+E(f14(x123,x121),f14(x123,x122))
% 0.20/0.67 [13]~E(x131,x132)+E(f10(x131,x133,x134),f10(x132,x133,x134))
% 0.20/0.67 [14]~E(x141,x142)+E(f10(x143,x141,x144),f10(x143,x142,x144))
% 0.20/0.67 [15]~E(x151,x152)+E(f10(x153,x154,x151),f10(x153,x154,x152))
% 0.20/0.67 [16]~E(x161,x162)+E(f12(x161,x163,x164),f12(x162,x163,x164))
% 0.20/0.67 [17]~E(x171,x172)+E(f12(x173,x171,x174),f12(x173,x172,x174))
% 0.20/0.67 [18]~E(x181,x182)+E(f12(x183,x184,x181),f12(x183,x184,x182))
% 0.20/0.67 [19]~E(x191,x192)+E(f11(x191,x193),f11(x192,x193))
% 0.20/0.67 [20]~E(x201,x202)+E(f11(x203,x201),f11(x203,x202))
% 0.20/0.67 [21]~E(x211,x212)+E(f9(x211,x213),f9(x212,x213))
% 0.20/0.67 [22]~E(x221,x222)+E(f9(x223,x221),f9(x223,x222))
% 0.20/0.67 [23]~E(x231,x232)+E(f4(x231,x233),f4(x232,x233))
% 0.20/0.67 [24]~E(x241,x242)+E(f4(x243,x241),f4(x243,x242))
% 0.20/0.67 [25]~E(x251,x252)+E(f5(x251,x253),f5(x252,x253))
% 0.20/0.67 [26]~E(x261,x262)+E(f5(x263,x261),f5(x263,x262))
% 0.20/0.67 [27]~E(x271,x272)+E(f15(x271,x273),f15(x272,x273))
% 0.20/0.67 [28]~E(x281,x282)+E(f15(x283,x281),f15(x283,x282))
% 0.20/0.67 [29]~E(x291,x292)+E(f6(x291,x293),f6(x292,x293))
% 0.20/0.67 [30]~E(x301,x302)+E(f6(x303,x301),f6(x303,x302))
% 0.20/0.67 [31]P1(x312,x313)+~E(x311,x312)+~P1(x311,x313)
% 0.20/0.67 [32]P1(x323,x322)+~E(x321,x322)+~P1(x323,x321)
% 0.20/0.67 [33]P5(x332,x333)+~E(x331,x332)+~P5(x331,x333)
% 0.20/0.67 [34]P5(x343,x342)+~E(x341,x342)+~P5(x343,x341)
% 0.20/0.67 [35]~P2(x351)+P2(x352)+~E(x351,x352)
% 0.20/0.68 [36]P3(x362,x363)+~E(x361,x362)+~P3(x361,x363)
% 0.20/0.68 [37]P3(x373,x372)+~E(x371,x372)+~P3(x373,x371)
% 0.20/0.68 [38]~P6(x381)+P6(x382)+~E(x381,x382)
% 0.20/0.68 [39]P4(x392,x393)+~E(x391,x392)+~P4(x391,x393)
% 0.20/0.68 [40]P4(x403,x402)+~E(x401,x402)+~P4(x403,x401)
% 0.20/0.68 [41]P7(x412,x413,x414)+~E(x411,x412)+~P7(x411,x413,x414)
% 0.20/0.68 [42]P7(x423,x422,x424)+~E(x421,x422)+~P7(x423,x421,x424)
% 0.20/0.68 [43]P7(x433,x434,x432)+~E(x431,x432)+~P7(x433,x434,x431)
% 0.20/0.68
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 cnf(92,plain,
% 0.20/0.68 ($false),
% 0.20/0.68 inference(scs_inference,[],[45,44,53,52,67,56]),
% 0.20/0.68 ['proof']).
% 0.20/0.68 % SZS output end Proof
% 0.20/0.68 % Total time :0.000000s
%------------------------------------------------------------------------------