%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO081-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 : Mon Jun 24 06:03:41 EDT 2024
% Result : Unsatisfiable 0.52s 0.75s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO081-1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.31 % Computer : n023.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri Jun 21 07:38:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.18/0.54 start to proof:theBenchmark
% 0.52/0.75 %-------------------------------------------
% 0.52/0.75 % File :CSE---1.7
% 0.52/0.75 % Problem :theBenchmark
% 0.52/0.75 % Transform :cnf
% 0.52/0.75 % Format :tptp:raw
% 0.52/0.75 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.75
% 0.52/0.75 % Result :Theorem 0.160000s
% 0.52/0.75 % Output :CNFRefutation 0.160000s
% 0.52/0.75 %-------------------------------------------
% 0.52/0.75 %--------------------------------------------------------------------------
% 0.52/0.75 % File : GEO081-1 : TPTP v8.2.0. Released v2.4.0.
% 0.52/0.75 % Domain : Geometry (Oriented curves)
% 0.52/0.75 % Problem : Transitivity of part_of
% 0.52/0.75 % Version : [EHK99] axioms.
% 0.52/0.75 % English :
% 0.52/0.75
% 0.52/0.75 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 0.52/0.75 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 0.52/0.75 % Source : [TPTP]
% 0.52/0.75 % Names :
% 0.52/0.75
% 0.52/0.75 % Status : Unsatisfiable
% 0.52/0.75 % Rating : 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.00 v5.5.0, 0.10 v5.4.0, 0.15 v5.3.0, 0.06 v5.1.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.18 v4.0.0, 0.09 v3.7.0, 0.10 v3.5.0, 0.09 v3.4.0, 0.08 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.4.0
% 0.52/0.75 % Syntax : Number of clauses : 51 ( 4 unt; 21 nHn; 46 RR)
% 0.52/0.75 % Number of literals : 157 ( 21 equ; 79 neg)
% 0.52/0.75 % Maximal clause size : 12 ( 3 avg)
% 0.52/0.75 % Maximal term depth : 3 ( 1 avg)
% 0.52/0.75 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 0.52/0.75 % Number of functors : 17 ( 17 usr; 3 con; 0-3 aty)
% 0.52/0.75 % Number of variables : 126 ( 10 sgn)
% 0.52/0.75 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.52/0.75
% 0.52/0.75 % Comments : Created by tptp2X -f tptp -t clausify:otter GEO081+1.p
% 0.52/0.75 %--------------------------------------------------------------------------
% 0.52/0.75 %----Include simple curve axioms
% 0.52/0.75 include('Axioms/GEO004-0.ax').
% 0.52/0.75 %--------------------------------------------------------------------------
% 0.52/0.75 cnf(part_of_transitivity_67,negated_conjecture,
% 0.52/0.75 part_of(sk14,sk15) ).
% 0.52/0.75
% 0.52/0.75 cnf(part_of_transitivity_68,negated_conjecture,
% 0.52/0.75 part_of(sk15,sk16) ).
% 0.52/0.75
% 0.52/0.75 cnf(part_of_transitivity_69,negated_conjecture,
% 0.52/0.75 ~ part_of(sk14,sk16) ).
% 0.52/0.75
% 0.52/0.75 %--------------------------------------------------------------------------
% 0.52/0.75 %-------------------------------------------
% 0.52/0.75 % Proof found
% 0.52/0.75 % SZS status Theorem for theBenchmark
% 0.52/0.75 % SZS output start Proof
% 0.52/0.75 %ClaNum:89(EqnAxiom:43)
% 0.52/0.75 %VarNum:331(SingletonVarNum:113)
% 0.52/0.75 %MaxLitNum:12
% 0.52/0.75 %MaxfuncDepth:2
% 0.52/0.75 %SharedTerms:6
% 0.52/0.75 %goalClause: 44 45 47
% 0.52/0.75 %singleGoalClaCount:3
% 0.52/0.75 [44]P1(a1,a15)
% 0.52/0.75 [45]P1(a15,a16)
% 0.52/0.75 [47]~P1(a1,a16)
% 0.52/0.75 [46]P2(f2(x461),x461)
% 0.52/0.75 [48]P3(x481)+P4(f3(x481),x481)
% 0.52/0.75 [50]~P6(x501)+P4(f13(x501),x501)
% 0.52/0.75 [49]P6(x491)+~P4(x492,x491)
% 0.52/0.75 [52]~P3(x521)+~P4(x522,x521)
% 0.52/0.75 [53]~P4(x531,x532)+P5(x531,x532)
% 0.52/0.75 [54]~P2(x541,x542)+P5(x541,x542)
% 0.52/0.75 [55]~P2(x551,x552)+~P4(x551,x552)
% 0.52/0.75 [56]~P4(x561,x562)+~E(f4(x561,x562),x561)
% 0.52/0.75 [58]P1(x581,x582)+P5(f5(x581,x582),x581)
% 0.52/0.76 [62]~P4(x621,x622)+P4(f4(x621,x622),x622)
% 0.52/0.76 [69]P1(x691,x692)+~P5(f5(x691,x692),x692)
% 0.52/0.76 [76]~P2(x761,x762)+P7(x761,f14(x761,x762),f6(x761,x762))
% 0.52/0.76 [71]~P2(x711,x712)+E(f17(f14(x711,x712),f6(x711,x712)),x712)
% 0.52/0.76 [72]P5(x721,x722)+~P7(x721,x723,x722)
% 0.52/0.76 [73]P5(x731,x732)+~P7(x731,x732,x733)
% 0.52/0.76 [74]~P7(x743,x742,x741)+E(f9(x741,x742),f17(x742,x741))
% 0.52/0.76 [51]P6(x511)+~P1(x511,x512)+E(x511,x512)
% 0.52/0.76 [57]P2(x571,x572)+~P5(x571,x572)+P4(x571,x572)
% 0.52/0.76 [65]~P5(x651,x652)+P4(x651,x652)+P5(x651,f7(x652,x651))
% 0.52/0.76 [66]~P5(x661,x662)+P4(x661,x662)+P5(x661,f11(x662,x661))
% 0.52/0.76 [67]~P5(x671,x672)+P4(x671,x672)+P1(f7(x672,x671),x672)
% 0.52/0.76 [68]~P5(x681,x682)+P4(x681,x682)+P1(f11(x682,x681),x682)
% 0.52/0.76 [70]E(x701,x702)+P5(f8(x701,x702),x702)+P5(f8(x701,x702),x701)
% 0.52/0.76 [75]E(x751,x752)+~P5(f8(x751,x752),x752)+~P5(f8(x751,x752),x751)
% 0.52/0.76 [77]~P5(x771,x772)+P4(x771,x772)+~P1(f7(x772,x771),f11(x772,x771))
% 0.52/0.76 [78]~P5(x781,x782)+P4(x781,x782)+~P1(f11(x782,x781),f7(x782,x781))
% 0.52/0.76 [59]~P5(x591,x593)+P5(x591,x592)+~P1(x593,x592)
% 0.52/0.76 [87]~P5(f10(x873,x872,x871),x871)+~P5(f10(x873,x872,x871),x872)+E(x871,f17(x872,x873))
% 0.52/0.76 [88]~P5(f10(x883,x882,x881),x881)+~P5(f10(x883,x882,x881),x883)+E(x881,f17(x882,x883))
% 0.52/0.76 [60]~P5(x601,x604)+P5(x601,x602)+~E(x602,f17(x603,x604))
% 0.52/0.76 [61]~P5(x611,x613)+P5(x611,x612)+~E(x612,f17(x613,x614))
% 0.52/0.76 [83]~P5(x831,x833)+~P5(x831,x832)+P7(x831,x832,x833)+P5(f12(x833,x832,x831),x833)
% 0.52/0.76 [84]~P5(x841,x843)+~P5(x841,x842)+P7(x841,x842,x843)+P5(f12(x843,x842,x841),x842)
% 0.52/0.76 [86]P5(f10(x863,x862,x861),x861)+P5(f10(x863,x862,x861),x862)+P5(f10(x863,x862,x861),x863)+E(x861,f17(x862,x863))
% 0.52/0.76 [80]~P5(x801,x802)+P4(x801,x802)+~P7(x804,x803,x802)+~P5(x801,x803)
% 0.52/0.76 [81]~P5(x811,x812)+P4(x811,x812)+~P7(x814,x812,x813)+~P5(x811,x813)
% 0.52/0.76 [64]~P5(x641,x644)+P5(x641,x642)+P5(x641,x643)+~E(x644,f17(x643,x642))
% 0.52/0.76 [89]~P5(x891,x893)+~P5(x891,x892)+P7(x891,x892,x893)+~P4(f12(x893,x892,x891),x893)+~P4(f12(x893,x892,x891),x892)
% 0.52/0.76 [82]~P3(x824)+~P4(x821,x822)+P7(x821,x822,x823)+~P7(x825,x822,x823)+~E(x824,f17(x822,x823))
% 0.52/0.76 [63]E(x633,x631)+~P4(x631,x634)+~P4(x633,x634)+E(x631,x632)+E(x633,x632)+~P4(x632,x634)
% 0.52/0.76 [79]P1(x792,x791)+~P1(x792,x793)+~P5(x794,x792)+~P4(x794,x793)+P1(x791,x792)+~P1(x791,x793)+~P5(x794,x791)
% 0.52/0.76 [85]P1(x852,x851)+P1(x852,x853)+P1(x853,x851)+P1(x853,x852)+~P1(x852,x854)+~P1(x853,x854)+~P4(x855,x852)+~P4(x855,x853)+P1(x851,x852)+P1(x851,x853)+~P1(x851,x854)+~P4(x855,x851)
% 0.52/0.76 %EqnAxiom
% 0.52/0.76 [1]E(x11,x11)
% 0.52/0.76 [2]E(x22,x21)+~E(x21,x22)
% 0.52/0.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.52/0.76 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.52/0.76 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.52/0.76 [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 0.52/0.76 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 0.52/0.76 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 0.52/0.76 [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 0.52/0.76 [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 0.52/0.76 [11]~E(x111,x112)+E(f17(x111,x113),f17(x112,x113))
% 0.52/0.76 [12]~E(x121,x122)+E(f17(x123,x121),f17(x123,x122))
% 0.52/0.76 [13]~E(x131,x132)+E(f10(x131,x133,x134),f10(x132,x133,x134))
% 0.52/0.76 [14]~E(x141,x142)+E(f10(x143,x141,x144),f10(x143,x142,x144))
% 0.52/0.76 [15]~E(x151,x152)+E(f10(x153,x154,x151),f10(x153,x154,x152))
% 0.52/0.76 [16]~E(x161,x162)+E(f12(x161,x163,x164),f12(x162,x163,x164))
% 0.52/0.76 [17]~E(x171,x172)+E(f12(x173,x171,x174),f12(x173,x172,x174))
% 0.52/0.76 [18]~E(x181,x182)+E(f12(x183,x184,x181),f12(x183,x184,x182))
% 0.52/0.76 [19]~E(x191,x192)+E(f11(x191,x193),f11(x192,x193))
% 0.52/0.76 [20]~E(x201,x202)+E(f11(x203,x201),f11(x203,x202))
% 0.52/0.76 [21]~E(x211,x212)+E(f7(x211,x213),f7(x212,x213))
% 0.52/0.76 [22]~E(x221,x222)+E(f7(x223,x221),f7(x223,x222))
% 0.52/0.76 [23]~E(x231,x232)+E(f6(x231,x233),f6(x232,x233))
% 0.52/0.76 [24]~E(x241,x242)+E(f6(x243,x241),f6(x243,x242))
% 0.52/0.76 [25]~E(x251,x252)+E(f8(x251,x253),f8(x252,x253))
% 0.52/0.76 [26]~E(x261,x262)+E(f8(x263,x261),f8(x263,x262))
% 0.52/0.76 [27]~E(x271,x272)+E(f14(x271,x273),f14(x272,x273))
% 0.52/0.76 [28]~E(x281,x282)+E(f14(x283,x281),f14(x283,x282))
% 0.52/0.76 [29]~E(x291,x292)+E(f9(x291,x293),f9(x292,x293))
% 0.52/0.76 [30]~E(x301,x302)+E(f9(x303,x301),f9(x303,x302))
% 0.52/0.76 [31]P1(x312,x313)+~E(x311,x312)+~P1(x311,x313)
% 0.52/0.76 [32]P1(x323,x322)+~E(x321,x322)+~P1(x323,x321)
% 0.52/0.76 [33]P4(x332,x333)+~E(x331,x332)+~P4(x331,x333)
% 0.52/0.76 [34]P4(x343,x342)+~E(x341,x342)+~P4(x343,x341)
% 0.52/0.76 [35]P2(x352,x353)+~E(x351,x352)+~P2(x351,x353)
% 0.52/0.76 [36]P2(x363,x362)+~E(x361,x362)+~P2(x363,x361)
% 0.52/0.76 [37]P5(x372,x373)+~E(x371,x372)+~P5(x371,x373)
% 0.52/0.76 [38]P5(x383,x382)+~E(x381,x382)+~P5(x383,x381)
% 0.52/0.76 [39]~P3(x391)+P3(x392)+~E(x391,x392)
% 0.52/0.76 [40]P7(x402,x403,x404)+~E(x401,x402)+~P7(x401,x403,x404)
% 0.52/0.76 [41]P7(x413,x412,x414)+~E(x411,x412)+~P7(x413,x411,x414)
% 0.52/0.76 [42]P7(x423,x424,x422)+~E(x421,x422)+~P7(x423,x424,x421)
% 0.52/0.76 [43]~P6(x431)+P6(x432)+~E(x431,x432)
% 0.52/0.76
% 0.52/0.76 %-------------------------------------------
% 0.52/0.76 cnf(92,plain,
% 0.52/0.76 (~P5(x921,f17(x922,x923))+P5(x921,x923)+P5(x921,x922)),
% 0.52/0.76 inference(equality_inference,[],[64])).
% 0.52/0.76 cnf(95,plain,
% 0.52/0.76 (~E(a15,a16)),
% 0.52/0.76 inference(scs_inference,[],[44,45,47,31,32])).
% 0.52/0.76 cnf(98,plain,
% 0.52/0.76 (~P5(x981,a1)+P5(x981,a15)),
% 0.52/0.76 inference(scs_inference,[],[44,45,47,31,32,51,59])).
% 0.52/0.76 cnf(100,plain,
% 0.52/0.76 (~P5(x1001,f17(a1,a1))+P5(x1001,a15)),
% 0.52/0.76 inference(scs_inference,[],[44,45,47,31,32,51,59,92])).
% 0.52/0.76 cnf(107,plain,
% 0.52/0.76 (~P5(x1071,a15)+P5(x1071,a16)),
% 0.52/0.76 inference(scs_inference,[],[45,95,51,59])).
% 0.52/0.76 cnf(233,plain,
% 0.52/0.76 (~P5(f5(a1,a16),a15)),
% 0.52/0.76 inference(scs_inference,[],[47,107,69])).
% 0.52/0.76 cnf(248,plain,
% 0.52/0.76 ($false),
% 0.52/0.76 inference(scs_inference,[],[47,233,98,100,73,54,53,72,92,58]),
% 0.52/0.76 ['proof']).
% 0.52/0.76 % SZS output end Proof
% 0.52/0.76 % Total time :0.160000s
%------------------------------------------------------------------------------