TSTP Solution File: GEO081-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO081-1 : 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 22:42:50 EDT 2023
% Result : Unsatisfiable 0.54s 0.93s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO081-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 29 20:32:18 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.54/0.92 %-------------------------------------------
% 0.54/0.92 % File :CSE---1.6
% 0.54/0.92 % Problem :theBenchmark
% 0.54/0.92 % Transform :cnf
% 0.54/0.92 % Format :tptp:raw
% 0.54/0.92 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.92
% 0.54/0.92 % Result :Theorem 0.300000s
% 0.54/0.92 % Output :CNFRefutation 0.300000s
% 0.54/0.92 %-------------------------------------------
% 0.54/0.93 %--------------------------------------------------------------------------
% 0.54/0.93 % File : GEO081-1 : TPTP v8.1.2. Released v2.4.0.
% 0.54/0.93 % Domain : Geometry (Oriented curves)
% 0.54/0.93 % Problem : Transitivity of part_of
% 0.54/0.93 % Version : [EHK99] axioms.
% 0.54/0.93 % English :
% 0.54/0.93
% 0.54/0.93 % Refs : [KE99] Kulik & Eschenbach (1999), A Geometry of Oriented Curv
% 0.54/0.93 % : [EHK99] Eschenbach et al. (1999), Representing Simple Trajecto
% 0.54/0.93 % Source : [TPTP]
% 0.54/0.93 % Names :
% 0.54/0.93
% 0.54/0.93 % Status : Unsatisfiable
% 0.54/0.93 % 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
% 0.54/0.93 % Syntax : Number of clauses : 51 ( 4 unt; 21 nHn; 46 RR)
% 0.54/0.93 % Number of literals : 157 ( 21 equ; 79 neg)
% 0.54/0.93 % Maximal clause size : 12 ( 3 avg)
% 0.54/0.93 % Maximal term depth : 3 ( 1 avg)
% 0.54/0.93 % Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% 0.54/0.93 % Number of functors : 17 ( 17 usr; 3 con; 0-3 aty)
% 0.54/0.93 % Number of variables : 126 ( 10 sgn)
% 0.54/0.93 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.54/0.93
% 0.54/0.93 % Comments : Created by tptp2X -f tptp -t clausify:otter GEO081+1.p
% 0.54/0.93 %--------------------------------------------------------------------------
% 0.54/0.93 %----Include simple curve axioms
% 0.54/0.93 include('Axioms/GEO004-0.ax').
% 0.54/0.93 %--------------------------------------------------------------------------
% 0.54/0.93 cnf(part_of_transitivity_67,negated_conjecture,
% 0.54/0.93 part_of(sk14,sk15) ).
% 0.54/0.93
% 0.54/0.93 cnf(part_of_transitivity_68,negated_conjecture,
% 0.54/0.93 part_of(sk15,sk16) ).
% 0.54/0.93
% 0.54/0.93 cnf(part_of_transitivity_69,negated_conjecture,
% 0.54/0.93 ~ part_of(sk14,sk16) ).
% 0.54/0.93
% 0.54/0.93 %--------------------------------------------------------------------------
% 0.54/0.93 %-------------------------------------------
% 0.54/0.93 % Proof found
% 0.54/0.93 % SZS status Theorem for theBenchmark
% 0.54/0.93 % SZS output start Proof
% 0.54/0.93 %ClaNum:89(EqnAxiom:43)
% 0.54/0.93 %VarNum:331(SingletonVarNum:113)
% 0.54/0.93 %MaxLitNum:12
% 0.54/0.93 %MaxfuncDepth:2
% 0.54/0.93 %SharedTerms:6
% 0.54/0.93 %goalClause: 44 45 47
% 0.54/0.93 %singleGoalClaCount:3
% 0.54/0.93 [44]P1(a1,a15)
% 0.54/0.93 [45]P1(a15,a16)
% 0.54/0.93 [47]~P1(a1,a16)
% 0.54/0.93 [46]P2(f2(x461),x461)
% 0.54/0.93 [48]P3(x481)+P4(f3(x481),x481)
% 0.54/0.93 [50]~P6(x501)+P4(f13(x501),x501)
% 0.54/0.93 [49]P6(x491)+~P4(x492,x491)
% 0.54/0.93 [52]~P3(x521)+~P4(x522,x521)
% 0.54/0.93 [53]~P4(x531,x532)+P5(x531,x532)
% 0.54/0.93 [54]~P2(x541,x542)+P5(x541,x542)
% 0.54/0.93 [55]~P2(x551,x552)+~P4(x551,x552)
% 0.54/0.93 [56]~P4(x561,x562)+~E(f4(x561,x562),x561)
% 0.54/0.93 [58]P1(x581,x582)+P5(f5(x581,x582),x581)
% 0.54/0.93 [62]~P4(x621,x622)+P4(f4(x621,x622),x622)
% 0.54/0.93 [69]P1(x691,x692)+~P5(f5(x691,x692),x692)
% 0.54/0.93 [76]~P2(x761,x762)+P7(x761,f14(x761,x762),f6(x761,x762))
% 0.54/0.93 [71]~P2(x711,x712)+E(f17(f14(x711,x712),f6(x711,x712)),x712)
% 0.54/0.93 [72]P5(x721,x722)+~P7(x721,x723,x722)
% 0.54/0.93 [73]P5(x731,x732)+~P7(x731,x732,x733)
% 0.54/0.93 [74]~P7(x743,x742,x741)+E(f9(x741,x742),f17(x742,x741))
% 0.54/0.93 [51]P6(x511)+~P1(x511,x512)+E(x511,x512)
% 0.54/0.93 [57]P2(x571,x572)+~P5(x571,x572)+P4(x571,x572)
% 0.54/0.93 [65]~P5(x651,x652)+P4(x651,x652)+P5(x651,f7(x652,x651))
% 0.54/0.93 [66]~P5(x661,x662)+P4(x661,x662)+P5(x661,f11(x662,x661))
% 0.54/0.93 [67]~P5(x671,x672)+P4(x671,x672)+P1(f7(x672,x671),x672)
% 0.54/0.93 [68]~P5(x681,x682)+P4(x681,x682)+P1(f11(x682,x681),x682)
% 0.54/0.93 [70]E(x701,x702)+P5(f8(x701,x702),x702)+P5(f8(x701,x702),x701)
% 0.54/0.93 [75]E(x751,x752)+~P5(f8(x751,x752),x752)+~P5(f8(x751,x752),x751)
% 0.54/0.93 [77]~P5(x771,x772)+P4(x771,x772)+~P1(f7(x772,x771),f11(x772,x771))
% 0.54/0.93 [78]~P5(x781,x782)+P4(x781,x782)+~P1(f11(x782,x781),f7(x782,x781))
% 0.54/0.93 [59]~P5(x591,x593)+P5(x591,x592)+~P1(x593,x592)
% 0.54/0.93 [87]~P5(f10(x873,x872,x871),x871)+~P5(f10(x873,x872,x871),x872)+E(x871,f17(x872,x873))
% 0.54/0.93 [88]~P5(f10(x883,x882,x881),x881)+~P5(f10(x883,x882,x881),x883)+E(x881,f17(x882,x883))
% 0.54/0.93 [60]~P5(x601,x604)+P5(x601,x602)+~E(x602,f17(x603,x604))
% 0.54/0.93 [61]~P5(x611,x613)+P5(x611,x612)+~E(x612,f17(x613,x614))
% 0.54/0.93 [83]~P5(x831,x833)+~P5(x831,x832)+P7(x831,x832,x833)+P5(f12(x833,x832,x831),x833)
% 0.54/0.93 [84]~P5(x841,x843)+~P5(x841,x842)+P7(x841,x842,x843)+P5(f12(x843,x842,x841),x842)
% 0.54/0.93 [86]P5(f10(x863,x862,x861),x861)+P5(f10(x863,x862,x861),x862)+P5(f10(x863,x862,x861),x863)+E(x861,f17(x862,x863))
% 0.54/0.93 [80]~P5(x801,x802)+P4(x801,x802)+~P7(x804,x803,x802)+~P5(x801,x803)
% 0.54/0.93 [81]~P5(x811,x812)+P4(x811,x812)+~P7(x814,x812,x813)+~P5(x811,x813)
% 0.54/0.93 [64]~P5(x641,x644)+P5(x641,x642)+P5(x641,x643)+~E(x644,f17(x643,x642))
% 0.54/0.93 [89]~P5(x891,x893)+~P5(x891,x892)+P7(x891,x892,x893)+~P4(f12(x893,x892,x891),x893)+~P4(f12(x893,x892,x891),x892)
% 0.54/0.93 [82]~P3(x824)+~P4(x821,x822)+P7(x821,x822,x823)+~P7(x825,x822,x823)+~E(x824,f17(x822,x823))
% 0.54/0.93 [63]E(x633,x631)+~P4(x631,x634)+~P4(x633,x634)+E(x631,x632)+E(x633,x632)+~P4(x632,x634)
% 0.54/0.93 [79]P1(x792,x791)+~P1(x792,x793)+~P5(x794,x792)+~P4(x794,x793)+P1(x791,x792)+~P1(x791,x793)+~P5(x794,x791)
% 0.54/0.93 [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)
% 0.54/0.93 %EqnAxiom
% 0.54/0.93 [1]E(x11,x11)
% 0.54/0.93 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.93 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.54/0.93 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.54/0.93 [6]~E(x61,x62)+E(f13(x61),f13(x62))
% 0.54/0.93 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 0.54/0.93 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 0.54/0.93 [9]~E(x91,x92)+E(f5(x91,x93),f5(x92,x93))
% 0.54/0.93 [10]~E(x101,x102)+E(f5(x103,x101),f5(x103,x102))
% 0.54/0.93 [11]~E(x111,x112)+E(f17(x111,x113),f17(x112,x113))
% 0.54/0.93 [12]~E(x121,x122)+E(f17(x123,x121),f17(x123,x122))
% 0.54/0.93 [13]~E(x131,x132)+E(f10(x131,x133,x134),f10(x132,x133,x134))
% 0.54/0.93 [14]~E(x141,x142)+E(f10(x143,x141,x144),f10(x143,x142,x144))
% 0.54/0.93 [15]~E(x151,x152)+E(f10(x153,x154,x151),f10(x153,x154,x152))
% 0.54/0.93 [16]~E(x161,x162)+E(f12(x161,x163,x164),f12(x162,x163,x164))
% 0.54/0.93 [17]~E(x171,x172)+E(f12(x173,x171,x174),f12(x173,x172,x174))
% 0.54/0.93 [18]~E(x181,x182)+E(f12(x183,x184,x181),f12(x183,x184,x182))
% 0.54/0.93 [19]~E(x191,x192)+E(f11(x191,x193),f11(x192,x193))
% 0.54/0.93 [20]~E(x201,x202)+E(f11(x203,x201),f11(x203,x202))
% 0.54/0.93 [21]~E(x211,x212)+E(f7(x211,x213),f7(x212,x213))
% 0.54/0.93 [22]~E(x221,x222)+E(f7(x223,x221),f7(x223,x222))
% 0.54/0.93 [23]~E(x231,x232)+E(f6(x231,x233),f6(x232,x233))
% 0.54/0.93 [24]~E(x241,x242)+E(f6(x243,x241),f6(x243,x242))
% 0.54/0.93 [25]~E(x251,x252)+E(f8(x251,x253),f8(x252,x253))
% 0.54/0.93 [26]~E(x261,x262)+E(f8(x263,x261),f8(x263,x262))
% 0.54/0.93 [27]~E(x271,x272)+E(f14(x271,x273),f14(x272,x273))
% 0.54/0.93 [28]~E(x281,x282)+E(f14(x283,x281),f14(x283,x282))
% 0.54/0.93 [29]~E(x291,x292)+E(f9(x291,x293),f9(x292,x293))
% 0.54/0.93 [30]~E(x301,x302)+E(f9(x303,x301),f9(x303,x302))
% 0.54/0.93 [31]P1(x312,x313)+~E(x311,x312)+~P1(x311,x313)
% 0.54/0.93 [32]P1(x323,x322)+~E(x321,x322)+~P1(x323,x321)
% 0.54/0.93 [33]P4(x332,x333)+~E(x331,x332)+~P4(x331,x333)
% 0.54/0.93 [34]P4(x343,x342)+~E(x341,x342)+~P4(x343,x341)
% 0.54/0.93 [35]P2(x352,x353)+~E(x351,x352)+~P2(x351,x353)
% 0.54/0.93 [36]P2(x363,x362)+~E(x361,x362)+~P2(x363,x361)
% 0.54/0.93 [37]P5(x372,x373)+~E(x371,x372)+~P5(x371,x373)
% 0.54/0.93 [38]P5(x383,x382)+~E(x381,x382)+~P5(x383,x381)
% 0.54/0.93 [39]~P3(x391)+P3(x392)+~E(x391,x392)
% 0.54/0.93 [40]P7(x402,x403,x404)+~E(x401,x402)+~P7(x401,x403,x404)
% 0.54/0.93 [41]P7(x413,x412,x414)+~E(x411,x412)+~P7(x413,x411,x414)
% 0.54/0.93 [42]P7(x423,x424,x422)+~E(x421,x422)+~P7(x423,x424,x421)
% 0.54/0.93 [43]~P6(x431)+P6(x432)+~E(x431,x432)
% 0.54/0.93
% 0.54/0.93 %-------------------------------------------
% 0.54/0.93 cnf(91,plain,
% 0.54/0.93 (~E(a15,a1)),
% 0.54/0.93 inference(scs_inference,[],[44,45,47,32,31])).
% 0.54/0.93 cnf(95,plain,
% 0.54/0.93 (~P4(f2(x951),x951)),
% 0.54/0.93 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55])).
% 0.54/0.93 cnf(97,plain,
% 0.54/0.93 (P5(f2(x971),x971)),
% 0.54/0.93 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54])).
% 0.54/0.93 cnf(99,plain,
% 0.54/0.93 (P4(f13(a15),a15)),
% 0.54/0.93 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50])).
% 0.54/0.93 cnf(101,plain,
% 0.54/0.93 (~P5(f5(a1,a16),a16)),
% 0.54/0.93 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69])).
% 0.54/0.93 cnf(103,plain,
% 0.54/0.93 (P4(f4(f13(a15),a15),a15)),
% 0.54/0.93 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62])).
% 0.54/0.93 cnf(105,plain,
% 0.54/0.93 (P5(f5(a1,a16),a1)),
% 0.54/0.93 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58])).
% 0.54/0.93 cnf(109,plain,
% 0.54/0.93 (P7(f2(x1091),f14(f2(x1091),x1091),f6(f2(x1091),x1091))),
% 0.54/0.93 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76])).
% 0.54/0.93 cnf(120,plain,
% 0.54/0.94 (P1(f7(a16,f2(a16)),a16)),
% 0.54/0.94 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67])).
% 0.54/0.94 cnf(128,plain,
% 0.54/0.94 (~P1(f7(a16,f2(a16)),f11(a16,f2(a16)))),
% 0.54/0.94 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77])).
% 0.54/0.94 cnf(130,plain,
% 0.54/0.94 (~P7(x1301,a16,a16)),
% 0.54/0.94 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81])).
% 0.54/0.94 cnf(136,plain,
% 0.54/0.94 (P5(f2(a16),f14(f2(a16),a16))),
% 0.54/0.94 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81,64,84,73])).
% 0.54/0.94 cnf(138,plain,
% 0.54/0.94 (P5(f2(a16),f6(f2(a16),a16))),
% 0.54/0.94 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81,64,84,73,72])).
% 0.54/0.94 cnf(142,plain,
% 0.54/0.94 (~P3(a15)),
% 0.54/0.94 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81,64,84,73,72,53,52])).
% 0.54/0.94 cnf(145,plain,
% 0.54/0.94 (~P5(f5(a1,a16),a15)),
% 0.54/0.94 inference(scs_inference,[],[44,45,47,46,32,31,51,2,55,54,50,69,62,58,56,76,43,38,37,61,60,68,67,66,65,78,77,81,64,84,73,72,53,52,39,59])).
% 0.54/0.94 cnf(163,plain,
% 0.54/0.94 (P4(f3(a15),a15)),
% 0.54/0.94 inference(scs_inference,[],[142,48])).
% 0.54/0.94 cnf(166,plain,
% 0.54/0.94 (~P4(f2(x1661),x1661)),
% 0.54/0.94 inference(rename_variables,[],[95])).
% 0.54/0.94 cnf(167,plain,
% 0.54/0.94 (~P7(f5(a1,a16),a15,x1671)),
% 0.54/0.94 inference(scs_inference,[],[95,145,103,142,48,33,73])).
% 0.54/0.94 cnf(171,plain,
% 0.54/0.94 (P5(f4(f13(a15),a15),a15)),
% 0.54/0.94 inference(scs_inference,[],[95,145,103,142,48,33,73,55,53])).
% 0.54/0.94 cnf(173,plain,
% 0.54/0.94 (P5(f2(a1),a15)),
% 0.54/0.94 inference(scs_inference,[],[44,95,97,145,103,142,48,33,73,55,53,59])).
% 0.54/0.94 cnf(174,plain,
% 0.54/0.94 (P5(f2(x1741),x1741)),
% 0.54/0.94 inference(rename_variables,[],[97])).
% 0.54/0.94 cnf(180,plain,
% 0.54/0.94 (P1(f11(x1801,f2(x1801)),x1801)),
% 0.54/0.94 inference(scs_inference,[],[44,95,166,97,174,145,105,103,142,48,33,73,55,53,59,61,60,68])).
% 0.54/0.94 cnf(181,plain,
% 0.54/0.94 (P5(f2(x1811),x1811)),
% 0.54/0.94 inference(rename_variables,[],[97])).
% 0.54/0.94 cnf(183,plain,
% 0.54/0.94 (P5(f2(x1831),f7(x1831,f2(x1831)))),
% 0.54/0.94 inference(scs_inference,[],[44,95,166,97,174,181,145,105,103,142,48,33,73,55,53,59,61,60,68,65])).
% 0.54/0.94 cnf(184,plain,
% 0.54/0.94 (P5(f2(x1841),x1841)),
% 0.54/0.94 inference(rename_variables,[],[97])).
% 0.54/0.94 cnf(186,plain,
% 0.54/0.94 (~E(a1,f17(a15,a15))),
% 0.54/0.94 inference(scs_inference,[],[44,95,166,97,174,181,145,105,103,142,48,33,73,55,53,59,61,60,68,65,64])).
% 0.54/0.94 cnf(188,plain,
% 0.54/0.94 (~P1(f11(x1881,f2(x1881)),f7(x1881,f2(x1881)))),
% 0.54/0.94 inference(scs_inference,[],[44,95,166,97,174,181,184,145,105,103,142,48,33,73,55,53,59,61,60,68,65,64,78])).
% 0.54/0.94 cnf(189,plain,
% 0.54/0.94 (P5(f2(x1891),x1891)),
% 0.54/0.94 inference(rename_variables,[],[97])).
% 0.54/0.94 cnf(194,plain,
% 0.54/0.94 (P1(f7(x1941,f2(x1941)),x1941)),
% 0.54/0.94 inference(scs_inference,[],[44,95,166,97,174,181,184,189,128,145,105,103,120,142,48,33,73,55,53,59,61,60,68,65,64,78,72,32,67])).
% 0.54/0.94 cnf(195,plain,
% 0.54/0.94 (P5(f2(x1951),x1951)),
% 0.54/0.94 inference(rename_variables,[],[97])).
% 0.54/0.94 cnf(197,plain,
% 0.54/0.94 (P5(f2(x1971),f11(x1971,f2(x1971)))),
% 0.54/0.94 inference(scs_inference,[],[44,95,166,97,174,181,184,189,195,128,145,105,103,120,142,48,33,73,55,53,59,61,60,68,65,64,78,72,32,67,66])).
% 0.54/0.94 cnf(198,plain,
% 0.54/0.94 (P5(f2(x1981),x1981)),
% 0.54/0.94 inference(rename_variables,[],[97])).
% 0.54/0.94 cnf(202,plain,
% 0.54/0.94 (P5(f2(x2021),x2021)),
% 0.54/0.94 inference(rename_variables,[],[97])).
% 0.54/0.94 cnf(205,plain,
% 0.54/0.94 (~P1(f7(x2051,f2(x2051)),f11(x2051,f2(x2051)))),
% 0.54/0.94 inference(scs_inference,[],[44,95,166,97,174,181,184,189,195,198,202,128,145,105,130,103,120,142,48,33,73,55,53,59,61,60,68,65,64,78,72,32,67,66,89,77])).
% 0.54/0.94 cnf(208,plain,
% 0.54/0.94 (P4(f2(a16),f14(f2(a16),a16))),
% 0.54/0.94 inference(scs_inference,[],[44,109,95,166,97,174,181,184,189,195,198,202,128,136,138,145,105,130,103,120,142,48,33,73,55,53,59,61,60,68,65,64,78,72,32,67,66,89,77,81])).
% 0.54/0.94 cnf(239,plain,
% 0.54/0.94 (P4(f4(f3(a15),a15),a15)),
% 0.54/0.94 inference(scs_inference,[],[101,163,145,73,53,33,62])).
% 0.54/0.94 cnf(249,plain,
% 0.54/0.94 (~P2(f2(a16),f14(f2(a16),a16))),
% 0.54/0.94 inference(scs_inference,[],[45,173,167,208,101,163,130,145,73,53,33,62,72,59,41,84,55])).
% 0.54/0.94 cnf(260,plain,
% 0.54/0.94 (P5(f2(x2601),f14(f2(x2601),x2601))),
% 0.54/0.94 inference(scs_inference,[],[46,249,109,36,73])).
% 0.54/0.94 cnf(262,plain,
% 0.54/0.94 (P5(f4(f3(a15),a15),a15)),
% 0.54/0.94 inference(scs_inference,[],[46,249,239,109,36,73,53])).
% 0.54/0.94 cnf(264,plain,
% 0.54/0.94 (P5(f2(x2641),f6(f2(x2641),x2641))),
% 0.54/0.94 inference(scs_inference,[],[46,249,239,109,36,73,53,72])).
% 0.54/0.94 cnf(266,plain,
% 0.54/0.94 (~P5(f5(a1,a16),f11(a15,f2(a15)))),
% 0.54/0.94 inference(scs_inference,[],[46,180,249,239,109,145,36,73,53,72,59])).
% 0.54/0.94 cnf(275,plain,
% 0.54/0.94 (P1(f7(x2751,f2(x2751)),x2751)),
% 0.54/0.94 inference(rename_variables,[],[194])).
% 0.54/0.94 cnf(293,plain,
% 0.54/0.94 (~E(a1,a15)),
% 0.54/0.94 inference(scs_inference,[],[47,91,188,205,194,275,266,171,99,180,208,45,31,53,59,3,73,72,52,85,2])).
% 0.54/0.94 cnf(304,plain,
% 0.54/0.94 (P4(f2(x3041),f6(f2(x3041),x3041))),
% 0.54/0.94 inference(scs_inference,[],[260,264,293,109,44,51,80])).
% 0.54/0.94 cnf(308,plain,
% 0.54/0.94 (P5(f13(a15),a15)),
% 0.54/0.94 inference(scs_inference,[],[260,264,293,99,109,44,51,80,53])).
% 0.54/0.94 cnf(310,plain,
% 0.54/0.94 (P5(f4(f3(a15),a15),a16)),
% 0.54/0.94 inference(scs_inference,[],[260,264,293,262,99,109,44,45,51,80,53,59])).
% 0.54/0.94 cnf(316,plain,
% 0.54/0.94 (P4(f13(a1),a1)),
% 0.54/0.94 inference(scs_inference,[],[260,264,186,293,262,99,208,109,44,45,51,80,53,59,86,49,50])).
% 0.54/0.94 cnf(318,plain,
% 0.54/0.94 (~E(f6(f2(x3181),x3181),x3181)),
% 0.54/0.94 inference(scs_inference,[],[260,264,186,293,262,95,99,208,109,44,45,51,80,53,59,86,49,50,34])).
% 0.54/0.94 cnf(344,plain,
% 0.54/0.94 (~E(x3441,f11(x3441,f2(x3441)))),
% 0.54/0.94 inference(scs_inference,[],[183,194,205,97,95,266,105,61,60,80,32])).
% 0.54/0.94 cnf(345,plain,
% 0.54/0.94 (P1(f7(x3451,f2(x3451)),x3451)),
% 0.54/0.94 inference(rename_variables,[],[194])).
% 0.54/0.94 cnf(346,plain,
% 0.54/0.94 (~P5(f5(a1,a16),f7(a16,f2(a16)))),
% 0.54/0.94 inference(scs_inference,[],[183,194,345,205,97,95,266,101,105,61,60,80,32,59])).
% 0.54/0.94 cnf(350,plain,
% 0.54/0.94 (P4(f4(f13(a1),a1),a1)),
% 0.54/0.94 inference(scs_inference,[],[316,183,194,345,205,97,95,266,101,109,105,61,60,80,32,59,40,62])).
% 0.54/0.94 cnf(353,plain,
% 0.54/0.94 (P5(f13(a1),a1)),
% 0.54/0.94 inference(scs_inference,[],[310,316,183,194,345,205,97,95,266,101,109,105,61,60,80,32,59,40,62,37,53])).
% 0.54/0.94 cnf(362,plain,
% 0.54/0.94 (~P2(f4(f13(a1),a1),a1)),
% 0.54/0.94 inference(scs_inference,[],[350,55])).
% 0.54/0.94 cnf(365,plain,
% 0.54/0.94 (~P4(f2(x3651),x3651)),
% 0.54/0.94 inference(rename_variables,[],[95])).
% 0.54/0.94 cnf(381,plain,
% 0.54/0.94 (P5(f13(a15),a16)),
% 0.54/0.94 inference(scs_inference,[],[346,350,308,197,188,180,97,95,365,105,45,55,33,61,60,80,54,32,53,38,59])).
% 0.54/0.94 cnf(407,plain,
% 0.54/0.94 (P5(f13(a1),a15)),
% 0.54/0.94 inference(scs_inference,[],[318,362,353,163,44,46,2,35,53,59])).
% 0.54/0.94 cnf(439,plain,
% 0.54/0.94 (~P5(f5(a1,a16),f11(a16,f2(a16)))),
% 0.54/0.94 inference(scs_inference,[],[381,130,180,346,101,83,73,59])).
% 0.54/0.94 cnf(446,plain,
% 0.54/0.94 (~P7(x4461,x4462,f14(f2(x4462),x4462))),
% 0.54/0.94 inference(scs_inference,[],[407,260,381,304,130,97,180,95,346,101,83,73,59,57,49,81])).
% 0.54/0.94 cnf(473,plain,
% 0.54/0.94 (P5(f12(f14(f2(x4731),x4731),x4731,f2(x4731)),x4731)),
% 0.54/0.94 inference(scs_inference,[],[446,260,99,350,97,55,53,41,84])).
% 0.54/0.94 cnf(491,plain,
% 0.54/0.94 ($false),
% 0.54/0.94 inference(scs_inference,[],[473,344,439,180,101,47,44,105,145,31,2,37,53,59]),
% 0.54/0.94 ['proof']).
% 0.54/0.94 % SZS output end Proof
% 0.54/0.94 % Total time :0.300000s
%------------------------------------------------------------------------------