TSTP Solution File: SWV377+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV377+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 : Thu Aug 31 21:33:21 EDT 2023
% Result : Theorem 0.56s 1.01s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.16 % Problem : SWV377+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.17 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.38 % Computer : n029.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Tue Aug 29 03:08:26 EDT 2023
% 0.13/0.38 % CPUTime :
% 0.49/0.62 start to proof:theBenchmark
% 0.56/1.00 %-------------------------------------------
% 0.56/1.00 % File :CSE---1.6
% 0.56/1.00 % Problem :theBenchmark
% 0.56/1.00 % Transform :cnf
% 0.56/1.00 % Format :tptp:raw
% 0.56/1.00 % Command :java -jar mcs_scs.jar %d %s
% 0.56/1.00
% 0.56/1.00 % Result :Theorem 0.320000s
% 0.56/1.00 % Output :CNFRefutation 0.320000s
% 0.56/1.00 %-------------------------------------------
% 0.56/1.01 %------------------------------------------------------------------------------
% 0.56/1.01 % File : SWV377+1 : TPTP v8.1.2. Released v3.3.0.
% 0.56/1.01 % Domain : Software Verification
% 0.56/1.01 % Problem : Priority queue checker: lemma_not_ok_persistence_induction step 1
% 0.56/1.01 % Version : [dNP05] axioms.
% 0.56/1.01 % English :
% 0.56/1.01
% 0.56/1.01 % Refs : [Pis06] Piskac (2006), Email to Geoff Sutcliffe
% 0.56/1.01 % : [dNP05] de Nivelle & Piskac (2005), Verification of an Off-Lin
% 0.56/1.01 % Source : [Pis06]
% 0.56/1.01 % Names : cpq_l013 [Pis06]
% 0.56/1.01
% 0.56/1.01 % Status : Theorem
% 0.56/1.01 % Rating : 0.19 v8.1.0, 0.22 v7.5.0, 0.25 v7.4.0, 0.17 v7.3.0, 0.21 v7.1.0, 0.17 v7.0.0, 0.20 v6.4.0, 0.27 v6.3.0, 0.25 v6.2.0, 0.28 v6.1.0, 0.27 v6.0.0, 0.22 v5.5.0, 0.30 v5.4.0, 0.36 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.24 v5.0.0, 0.21 v4.1.0, 0.22 v4.0.1, 0.30 v4.0.0, 0.33 v3.7.0, 0.30 v3.5.0, 0.26 v3.4.0, 0.21 v3.3.0
% 0.56/1.01 % Syntax : Number of formulae : 42 ( 16 unt; 0 def)
% 0.56/1.01 % Number of atoms : 84 ( 29 equ)
% 0.56/1.01 % Maximal formula atoms : 4 ( 2 avg)
% 0.56/1.01 % Number of connectives : 57 ( 15 ~; 3 |; 12 &)
% 0.56/1.01 % ( 7 <=>; 20 =>; 0 <=; 0 <~>)
% 0.56/1.01 % Maximal formula depth : 9 ( 5 avg)
% 0.56/1.01 % Maximal term depth : 4 ( 1 avg)
% 0.56/1.01 % Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% 0.56/1.01 % Number of functors : 18 ( 18 usr; 3 con; 0-3 aty)
% 0.56/1.01 % Number of variables : 121 ( 121 !; 0 ?)
% 0.56/1.01 % SPC : FOF_THM_RFO_SEQ
% 0.56/1.01
% 0.56/1.01 % Comments :
% 0.56/1.01 %------------------------------------------------------------------------------
% 0.56/1.01 %----Include the axioms about priority queues and checked priority queues
% 0.56/1.01 include('Axioms/SWV007+0.ax').
% 0.56/1.01 include('Axioms/SWV007+2.ax').
% 0.56/1.01 include('Axioms/SWV007+3.ax').
% 0.56/1.01 %------------------------------------------------------------------------------
% 0.56/1.01 %----goal: fof(l12_l13, lemma, (! [U,V,W] : (~(ok(triple(U,V,W))) =>
% 0.56/1.01 %---- ~(ok(im_succ_cpq(triple(U,V,W))))))).
% 0.56/1.01
% 0.56/1.01 %----step1: insert (conjecture)
% 0.56/1.01 fof(l13_co,conjecture,
% 0.56/1.01 ! [U,V,W,X] :
% 0.56/1.01 ( ~ ok(triple(U,V,W))
% 0.56/1.01 => ~ ok(insert_cpq(triple(U,V,W),X)) ) ).
% 0.56/1.01
% 0.56/1.01 %------------------------------------------------------------------------------
% 0.56/1.01 %-------------------------------------------
% 0.56/1.01 % Proof found
% 0.56/1.01 % SZS status Theorem for theBenchmark
% 0.56/1.01 % SZS output start Proof
% 0.56/1.01 %ClaNum:93(EqnAxiom:43)
% 0.56/1.01 %VarNum:299(SingletonVarNum:147)
% 0.56/1.01 %MaxLitNum:4
% 0.56/1.01 %MaxfuncDepth:3
% 0.56/1.01 %SharedTerms:12
% 0.56/1.01 %goalClause: 54 59
% 0.56/1.01 %singleGoalClaCount:2
% 0.56/1.01 [56]~P2(a1)
% 0.56/1.01 [59]~P7(f20(a9,a10,a11))
% 0.56/1.01 [54]P7(f13(f20(a9,a10,a11),a12))
% 0.56/1.01 [45]P1(a2,x451)
% 0.56/1.01 [46]P1(x461,x461)
% 0.56/1.01 [47]P6(x471,x471)
% 0.56/1.01 [57]~P4(a1,x571)
% 0.56/1.01 [44]E(f4(a1,x441),a1)
% 0.56/1.01 [58]~P8(a1,x581,x582)
% 0.56/1.01 [52]P3(f20(x521,a1,x522))
% 0.56/1.01 [60]~P7(f20(x601,x602,a3))
% 0.56/1.01 [51]E(f7(f20(x511,a1,x512)),a2)
% 0.56/1.01 [53]E(f8(f20(x531,a1,x532)),f20(x531,a1,a3))
% 0.56/1.01 [48]P2(f6(x481,f5(x482,x483)))
% 0.56/1.01 [49]E(f17(f6(x491,f5(x492,x493)),x492),x491)
% 0.56/1.01 [50]E(f16(f6(x501,f5(x502,x503)),x502),x503)
% 0.56/1.01 [55]E(f20(f15(x551,x552),f6(x553,f5(x552,a2)),x554),f13(f20(x551,x553,x554),x552))
% 0.56/1.01 [61]P1(x612,x611)+P1(x611,x612)
% 0.56/1.01 [62]~P9(x621,x622)+P1(x621,x622)
% 0.56/1.01 [64]~P9(x642,x641)+~P1(x641,x642)
% 0.56/1.01 [63]~P6(x631,x632)+P6(x631,f8(x632))
% 0.56/1.01 [69]~P6(x691,x692)+P6(x691,f18(f8(x692),f7(x692)))
% 0.56/1.01 [67]~P6(x671,x672)+P6(x671,f13(x672,x673))
% 0.56/1.01 [68]~P6(x681,x682)+P6(x681,f18(x682,x683))
% 0.56/1.01 [71]E(x711,a3)+P7(f20(x712,x713,x711))
% 0.56/1.01 [73]E(x731,a1)+E(f7(f20(x732,x731,x733)),f14(x732))
% 0.56/1.01 [76]~P4(x762,x764)+P5(f20(x761,x762,x763),x764)
% 0.56/1.01 [82]P4(x821,x822)+~P5(f20(x823,x821,x824),x822)
% 0.56/1.01 [70]~E(x702,x704)+P4(f6(x701,f5(x702,x703)),x704)
% 0.56/1.01 [72]~P4(x721,x724)+P4(f6(x721,f5(x722,x723)),x724)
% 0.56/1.01 [81]P4(x812,x814)+E(f18(f20(x811,x812,x813),x814),f20(x811,x812,a3))
% 0.56/1.01 [78]~P1(x782,x784)+E(f6(f4(x781,x782),f5(x783,x784)),f4(f6(x781,f5(x783,x784)),x782))
% 0.56/1.01 [79]~P9(x793,x794)+E(f4(f6(x791,f5(x792,x793)),x794),f6(f4(x791,x794),f5(x792,x794)))
% 0.56/1.01 [83]~P8(x831,x834,x835)+P8(f6(x831,f5(x832,x833)),x834,x835)
% 0.56/1.01 [91]~P9(x911,x912)+~P3(f20(x913,f6(x914,f5(x911,x912)),x915))
% 0.56/1.01 [65]P9(x652,x651)+~P1(x652,x651)+P1(x651,x652)
% 0.56/1.01 [66]~P1(x661,x663)+P1(x661,x662)+~P1(x663,x662)
% 0.56/1.01 [84]P4(x841,f14(x842))+E(x841,a1)+E(f8(f20(x842,x841,x843)),f20(x842,f4(x841,f14(x842)),a3))
% 0.56/1.01 [77]E(x771,x772)+P4(x773,x772)+~P4(f6(x773,f5(x771,x774)),x772)
% 0.56/1.01 [87]~P4(x872,x874)+~P9(x874,f16(x872,x874))+E(f18(f20(x871,x872,x873),x874),f20(f19(x871,x874),f17(x872,x874),a3))
% 0.56/1.01 [88]~P4(x883,x882)+~P1(f16(x883,x882),x882)+E(f20(f19(x881,x882),f17(x883,x882),x884),f18(f20(x881,x883,x884),x882))
% 0.56/1.01 [74]~P4(x743,x742)+E(x741,x742)+E(f16(f6(x743,f5(x741,x744)),x742),f16(x743,x742))
% 0.56/1.01 [80]~P4(x803,x802)+E(x801,x802)+E(f17(f6(x803,f5(x801,x804)),x802),f6(f17(x803,x802),f5(x801,x804)))
% 0.56/1.01 [75]~E(x753,x755)+~E(x752,x754)+P8(f6(x751,f5(x752,x753)),x754,x755)
% 0.56/1.01 [85]E(x851,x852)+P8(x853,x854,x852)+~P8(f6(x853,f5(x855,x851)),x854,x852)
% 0.56/1.01 [86]E(x861,x862)+P8(x863,x862,x864)+~P8(f6(x863,f5(x861,x865)),x862,x864)
% 0.56/1.01 [92]~P1(x924,x923)+~P3(f20(x921,x922,x925))+P3(f20(x921,f6(x922,f5(x923,x924)),x925))
% 0.56/1.01 [93]~P1(x934,x935)+P3(f20(x931,x932,x933))+~P3(f20(x931,f6(x932,f5(x935,x934)),x933))
% 0.56/1.01 [89]~P4(x891,f14(x892))+E(x891,a1)+~P9(f14(x892),f16(x891,f14(x892)))+E(f8(f20(x892,x891,x893)),f20(x892,f4(x891,f14(x892)),a3))
% 0.56/1.01 [90]~P4(x901,f14(x902))+E(x901,a1)+~P1(f16(x901,f14(x902)),f14(x902))+E(f20(x902,f4(x901,f14(x902)),x903),f8(f20(x902,x901,x903)))
% 0.56/1.01 %EqnAxiom
% 0.56/1.01 [1]E(x11,x11)
% 0.56/1.01 [2]E(x22,x21)+~E(x21,x22)
% 0.56/1.01 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.56/1.01 [4]~E(x41,x42)+E(f4(x41,x43),f4(x42,x43))
% 0.56/1.01 [5]~E(x51,x52)+E(f4(x53,x51),f4(x53,x52))
% 0.56/1.01 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.56/1.01 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.56/1.01 [8]~E(x81,x82)+E(f6(x81,x83),f6(x82,x83))
% 0.56/1.01 [9]~E(x91,x92)+E(f6(x93,x91),f6(x93,x92))
% 0.56/1.01 [10]~E(x101,x102)+E(f20(x101,x103,x104),f20(x102,x103,x104))
% 0.56/1.01 [11]~E(x111,x112)+E(f20(x113,x111,x114),f20(x113,x112,x114))
% 0.56/1.01 [12]~E(x121,x122)+E(f20(x123,x124,x121),f20(x123,x124,x122))
% 0.56/1.01 [13]~E(x131,x132)+E(f8(x131),f8(x132))
% 0.56/1.01 [14]~E(x141,x142)+E(f17(x141,x143),f17(x142,x143))
% 0.56/1.01 [15]~E(x151,x152)+E(f17(x153,x151),f17(x153,x152))
% 0.56/1.01 [16]~E(x161,x162)+E(f14(x161),f14(x162))
% 0.56/1.01 [17]~E(x171,x172)+E(f16(x171,x173),f16(x172,x173))
% 0.56/1.01 [18]~E(x181,x182)+E(f16(x183,x181),f16(x183,x182))
% 0.56/1.01 [19]~E(x191,x192)+E(f18(x191,x193),f18(x192,x193))
% 0.56/1.01 [20]~E(x201,x202)+E(f18(x203,x201),f18(x203,x202))
% 0.56/1.01 [21]~E(x211,x212)+E(f13(x211,x213),f13(x212,x213))
% 0.56/1.01 [22]~E(x221,x222)+E(f13(x223,x221),f13(x223,x222))
% 0.56/1.01 [23]~E(x231,x232)+E(f7(x231),f7(x232))
% 0.56/1.01 [24]~E(x241,x242)+E(f15(x241,x243),f15(x242,x243))
% 0.56/1.01 [25]~E(x251,x252)+E(f15(x253,x251),f15(x253,x252))
% 0.56/1.01 [26]~E(x261,x262)+E(f19(x261,x263),f19(x262,x263))
% 0.56/1.01 [27]~E(x271,x272)+E(f19(x273,x271),f19(x273,x272))
% 0.56/1.01 [28]P1(x282,x283)+~E(x281,x282)+~P1(x281,x283)
% 0.56/1.01 [29]P1(x293,x292)+~E(x291,x292)+~P1(x293,x291)
% 0.56/1.01 [30]~P3(x301)+P3(x302)+~E(x301,x302)
% 0.56/1.01 [31]P6(x312,x313)+~E(x311,x312)+~P6(x311,x313)
% 0.56/1.01 [32]P6(x323,x322)+~E(x321,x322)+~P6(x323,x321)
% 0.56/1.01 [33]~P2(x331)+P2(x332)+~E(x331,x332)
% 0.56/1.01 [34]P4(x342,x343)+~E(x341,x342)+~P4(x341,x343)
% 0.56/1.01 [35]P4(x353,x352)+~E(x351,x352)+~P4(x353,x351)
% 0.56/1.01 [36]~P7(x361)+P7(x362)+~E(x361,x362)
% 0.56/1.01 [37]P9(x372,x373)+~E(x371,x372)+~P9(x371,x373)
% 0.56/1.01 [38]P9(x383,x382)+~E(x381,x382)+~P9(x383,x381)
% 0.56/1.01 [39]P5(x392,x393)+~E(x391,x392)+~P5(x391,x393)
% 0.56/1.01 [40]P5(x403,x402)+~E(x401,x402)+~P5(x403,x401)
% 0.56/1.01 [41]P8(x412,x413,x414)+~E(x411,x412)+~P8(x411,x413,x414)
% 0.56/1.01 [42]P8(x423,x422,x424)+~E(x421,x422)+~P8(x423,x421,x424)
% 0.56/1.01 [43]P8(x433,x434,x432)+~E(x431,x432)+~P8(x433,x434,x431)
% 0.56/1.01
% 0.56/1.01 %-------------------------------------------
% 0.56/1.02 cnf(94,plain,
% 0.56/1.02 (E(a1,f4(a1,x941))),
% 0.56/1.02 inference(scs_inference,[],[44,2])).
% 0.56/1.02 cnf(95,plain,
% 0.56/1.02 (~P9(x951,x951)),
% 0.56/1.02 inference(scs_inference,[],[46,44,2,64])).
% 0.56/1.02 cnf(97,plain,
% 0.56/1.02 (E(a11,a3)),
% 0.56/1.02 inference(scs_inference,[],[46,59,44,2,64,71])).
% 0.56/1.02 cnf(99,plain,
% 0.56/1.02 (~P7(f8(f20(x991,a1,x992)))),
% 0.56/1.02 inference(scs_inference,[],[46,59,44,60,53,2,64,71,36])).
% 0.56/1.02 cnf(100,plain,
% 0.56/1.02 (E(f8(f20(x1001,a1,x1002)),f20(x1001,a1,a3))),
% 0.56/1.02 inference(rename_variables,[],[53])).
% 0.56/1.02 cnf(104,plain,
% 0.56/1.02 (P6(x1041,x1041)),
% 0.56/1.02 inference(rename_variables,[],[47])).
% 0.56/1.02 cnf(106,plain,
% 0.56/1.02 (P6(x1061,x1061)),
% 0.56/1.02 inference(rename_variables,[],[47])).
% 0.56/1.02 cnf(107,plain,
% 0.56/1.02 (P1(f4(a1,x1071),a1)),
% 0.56/1.02 inference(scs_inference,[],[46,47,104,56,59,44,60,53,2,64,71,36,33,32,31,29])).
% 0.56/1.02 cnf(108,plain,
% 0.56/1.02 (P1(x1081,x1081)),
% 0.56/1.02 inference(rename_variables,[],[46])).
% 0.56/1.02 cnf(110,plain,
% 0.56/1.02 (P1(x1101,x1101)),
% 0.56/1.02 inference(rename_variables,[],[46])).
% 0.56/1.02 cnf(112,plain,
% 0.56/1.02 (E(f17(f6(x1121,f5(x1122,x1123)),x1122),x1121)),
% 0.56/1.02 inference(rename_variables,[],[49])).
% 0.56/1.02 cnf(115,plain,
% 0.56/1.02 (P4(f6(x1151,f5(f4(a1,x1152),x1153)),a1)),
% 0.56/1.02 inference(scs_inference,[],[46,108,47,104,57,56,59,44,60,53,49,2,64,71,36,33,32,31,29,28,3,82,70])).
% 0.56/1.02 cnf(117,plain,
% 0.56/1.02 (P6(x1171,f18(x1171,x1172))),
% 0.56/1.02 inference(scs_inference,[],[46,108,47,104,106,57,56,59,44,60,53,49,2,64,71,36,33,32,31,29,28,3,82,70,68])).
% 0.56/1.02 cnf(119,plain,
% 0.56/1.02 (P6(x1191,f13(x1191,x1192))),
% 0.56/1.02 inference(scs_inference,[],[46,108,47,104,106,57,56,59,44,60,53,49,2,64,71,36,33,32,31,29,28,3,82,70,68,67])).
% 0.56/1.02 cnf(121,plain,
% 0.56/1.02 (P6(x1211,f8(x1211))),
% 0.56/1.02 inference(scs_inference,[],[46,108,47,104,106,57,56,59,44,60,53,49,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63])).
% 0.56/1.02 cnf(135,plain,
% 0.56/1.02 (E(f17(x1351,f4(a1,x1352)),f17(x1351,a1))),
% 0.56/1.02 inference(scs_inference,[],[46,108,47,104,106,57,56,59,44,60,53,49,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15])).
% 0.56/1.02 cnf(140,plain,
% 0.56/1.02 (E(f20(f4(a1,x1401),x1402,x1403),f20(a1,x1402,x1403))),
% 0.56/1.02 inference(scs_inference,[],[46,108,47,104,106,57,56,59,44,60,53,49,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10])).
% 0.56/1.02 cnf(147,plain,
% 0.56/1.02 (P6(x1471,f18(f8(x1471),f7(x1471)))),
% 0.56/1.02 inference(scs_inference,[],[46,108,47,104,106,57,56,59,44,60,53,49,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69])).
% 0.56/1.02 cnf(151,plain,
% 0.56/1.02 (E(f6(f4(x1511,x1512),f5(x1513,x1512)),f4(f6(x1511,f5(x1513,x1512)),x1512))),
% 0.56/1.02 inference(scs_inference,[],[46,108,110,47,104,106,57,56,59,44,60,53,49,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78])).
% 0.56/1.02 cnf(153,plain,
% 0.56/1.02 (~P8(f4(a1,x1531),x1532,x1533)),
% 0.56/1.02 inference(scs_inference,[],[46,108,110,47,104,106,58,57,56,59,44,60,53,49,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41])).
% 0.56/1.02 cnf(154,plain,
% 0.56/1.02 (~P5(f8(f20(x1541,a1,x1542)),x1543)),
% 0.56/1.02 inference(scs_inference,[],[46,108,110,47,104,106,58,57,56,59,44,60,53,100,49,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,39])).
% 0.56/1.02 cnf(157,plain,
% 0.56/1.02 (~P4(f4(a1,x1571),x1572)),
% 0.56/1.02 inference(scs_inference,[],[46,108,110,47,104,106,58,57,56,59,44,60,53,100,49,112,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,39,38,37,34])).
% 0.56/1.02 cnf(158,plain,
% 0.56/1.02 (P8(f6(x1581,f5(f4(a1,x1582),f4(a1,x1582))),a1,a1)),
% 0.56/1.02 inference(scs_inference,[],[46,108,110,47,104,106,58,57,56,59,44,60,53,100,49,112,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,39,38,37,34,75])).
% 0.56/1.02 cnf(160,plain,
% 0.56/1.02 (P3(f20(x1601,f6(a1,f5(x1602,x1602)),x1603))),
% 0.56/1.02 inference(scs_inference,[],[46,108,110,47,104,106,58,57,56,59,44,52,60,53,100,49,112,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,39,38,37,34,75,92])).
% 0.56/1.02 cnf(162,plain,
% 0.56/1.02 (P8(f6(x1621,f5(f4(a1,x1622),f4(a1,x1622))),a1,f4(a1,x1622))),
% 0.56/1.02 inference(scs_inference,[],[46,108,110,47,104,106,58,57,56,59,44,52,60,53,100,49,112,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,39,38,37,34,75,92,43])).
% 0.56/1.02 cnf(163,plain,
% 0.56/1.02 (P8(f6(x1631,f5(f4(a1,x1632),f4(a1,x1632))),f4(a1,x1632),a1)),
% 0.56/1.02 inference(scs_inference,[],[46,108,110,47,104,106,58,57,56,59,44,52,60,53,100,49,112,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,39,38,37,34,75,92,43,42])).
% 0.56/1.02 cnf(164,plain,
% 0.56/1.02 (P4(f6(x1641,f5(f4(a1,x1642),x1643)),f4(a1,x1642))),
% 0.56/1.02 inference(scs_inference,[],[46,108,110,47,104,106,58,57,56,59,44,52,60,53,100,49,112,2,64,71,36,33,32,31,29,28,3,82,70,68,67,63,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,69,81,78,41,39,38,37,34,75,92,43,42,35])).
% 0.56/1.02 cnf(175,plain,
% 0.56/1.02 (P3(f20(x1751,f6(a1,f5(x1752,a2)),x1753))),
% 0.56/1.02 inference(scs_inference,[],[55,45,52,160,164,162,83,72,30,92])).
% 0.56/1.02 cnf(177,plain,
% 0.56/1.02 (~P9(a2,f7(f20(x1771,a1,x1772)))),
% 0.56/1.02 inference(scs_inference,[],[51,55,45,52,95,160,164,162,83,72,30,92,38])).
% 0.56/1.02 cnf(178,plain,
% 0.56/1.02 (~P9(x1781,x1781)),
% 0.56/1.02 inference(rename_variables,[],[95])).
% 0.56/1.02 cnf(181,plain,
% 0.56/1.02 (~E(f4(f6(x1811,f5(x1812,x1813)),x1813),a1)),
% 0.56/1.02 inference(scs_inference,[],[54,51,48,55,45,56,59,52,151,95,160,164,162,83,72,30,92,38,36,33,3])).
% 0.56/1.02 cnf(185,plain,
% 0.56/1.02 (E(f16(f6(x1851,f5(x1852,x1853)),x1852),x1853)),
% 0.56/1.02 inference(rename_variables,[],[50])).
% 0.56/1.02 cnf(186,plain,
% 0.56/1.02 (P8(f6(x1861,f5(f4(a1,x1862),f4(a1,x1862))),f4(a1,x1863),f4(a1,x1862))),
% 0.56/1.02 inference(scs_inference,[],[54,51,48,50,55,45,56,59,52,57,151,95,160,164,162,94,83,72,30,92,38,36,33,3,75,34,42])).
% 0.56/1.02 cnf(187,plain,
% 0.56/1.02 (P4(f6(x1871,f5(f4(a1,x1872),x1873)),f4(a1,x1874))),
% 0.56/1.02 inference(scs_inference,[],[54,51,48,50,55,45,56,59,52,57,151,95,160,164,162,115,94,83,72,30,92,38,36,33,3,75,34,42,35])).
% 0.56/1.02 cnf(188,plain,
% 0.56/1.02 (~P5(f17(f6(f8(f20(x1881,a1,x1882)),f5(x1883,x1884)),x1883),x1885)),
% 0.56/1.02 inference(scs_inference,[],[54,51,48,50,55,45,56,59,52,49,57,151,95,160,154,164,162,115,94,83,72,30,92,38,36,33,3,75,34,42,35,39])).
% 0.56/1.02 cnf(195,plain,
% 0.56/1.02 (~P9(x1951,a2)),
% 0.56/1.02 inference(scs_inference,[],[54,51,48,50,185,55,45,56,59,52,49,58,57,151,95,178,160,154,164,162,163,115,94,83,72,30,92,38,36,33,3,75,34,42,35,39,37,41,43,91])).
% 0.56/1.02 cnf(197,plain,
% 0.56/1.02 (~E(f20(a9,a10,a11),f13(f20(a9,a10,a11),a12))),
% 0.56/1.02 inference(scs_inference,[],[54,51,48,50,185,55,45,56,59,52,49,58,57,151,95,178,160,154,164,162,163,115,94,83,72,30,92,38,36,33,3,75,34,42,35,39,37,41,43,91,2])).
% 0.56/1.02 cnf(198,plain,
% 0.56/1.02 (P6(f7(f20(x1981,a1,x1982)),a2)),
% 0.56/1.02 inference(scs_inference,[],[54,51,48,50,185,55,45,47,56,59,52,49,58,57,151,95,178,160,154,164,162,163,115,94,83,72,30,92,38,36,33,3,75,34,42,35,39,37,41,43,91,2,32])).
% 0.56/1.02 cnf(211,plain,
% 0.56/1.02 (~P2(f16(f6(x2111,f5(x2112,a1)),x2112))),
% 0.56/1.02 inference(scs_inference,[],[50,55,56,57,175,187,77,30,33])).
% 0.56/1.02 cnf(213,plain,
% 0.56/1.02 (E(f8(f20(x2131,a1,x2132)),f20(x2131,a1,a3))),
% 0.56/1.02 inference(rename_variables,[],[53])).
% 0.56/1.02 cnf(215,plain,
% 0.56/1.02 (E(f20(x2151,a1,a3),f8(f20(x2151,a1,x2152)))),
% 0.56/1.02 inference(scs_inference,[],[53,213,50,55,56,57,175,140,187,77,30,33,3,2])).
% 0.56/1.02 cnf(217,plain,
% 0.56/1.02 (~P8(a1,x2171,x2172)),
% 0.56/1.02 inference(rename_variables,[],[58])).
% 0.56/1.02 cnf(222,plain,
% 0.56/1.02 (~P7(f17(f6(f20(a9,a10,a11),f5(x2221,x2222)),x2221))),
% 0.56/1.02 inference(scs_inference,[],[59,53,213,50,55,56,49,58,217,57,175,140,187,197,77,30,33,3,2,85,86,36])).
% 0.56/1.02 cnf(233,plain,
% 0.56/1.02 (~E(f20(a9,a10,a11),f20(f15(a9,a12),f6(a10,f5(a12,a2)),a11))),
% 0.56/1.02 inference(scs_inference,[],[55,56,49,57,222,135,197,77,33,36,3])).
% 0.56/1.02 cnf(235,plain,
% 0.56/1.02 (~E(a1,f4(f6(x2351,f5(x2352,x2353)),x2353))),
% 0.56/1.02 inference(scs_inference,[],[55,56,49,57,222,181,135,197,77,33,36,3,2])).
% 0.56/1.02 cnf(236,plain,
% 0.56/1.02 (~E(f4(a1,x2361),f4(f6(x2362,f5(x2363,x2364)),x2364))),
% 0.56/1.02 inference(scs_inference,[],[94,235,3])).
% 0.56/1.02 cnf(237,plain,
% 0.56/1.02 (~E(f13(f20(a9,a10,a11),a12),f20(x2371,x2372,a3))),
% 0.56/1.02 inference(scs_inference,[],[60,94,235,54,3,36])).
% 0.56/1.02 cnf(238,plain,
% 0.56/1.02 (E(x2381,f16(f6(x2382,f5(x2383,x2381)),x2383))),
% 0.56/1.02 inference(scs_inference,[],[60,50,94,235,54,3,36,2])).
% 0.56/1.02 cnf(249,plain,
% 0.56/1.02 (E(f6(f4(x2491,a2),f5(x2492,x2493)),f4(f6(x2491,f5(x2492,x2493)),a2))),
% 0.56/1.02 inference(scs_inference,[],[60,45,50,94,147,121,235,157,107,54,3,36,2,64,67,63,69,81,78])).
% 0.56/1.02 cnf(251,plain,
% 0.56/1.02 (~P5(f20(x2511,f4(a1,x2512),x2513),x2514)),
% 0.56/1.02 inference(scs_inference,[],[60,45,50,94,147,121,235,157,107,54,3,36,2,64,67,63,69,81,78,82])).
% 0.56/1.02 cnf(267,plain,
% 0.56/1.02 (E(f4(x2671,f8(f20(x2672,a1,x2673))),f4(x2671,f20(x2672,a1,a3)))),
% 0.56/1.02 inference(scs_inference,[],[60,45,53,50,94,147,121,235,157,107,54,3,36,2,64,67,63,69,81,78,82,68,27,23,22,21,18,15,13,12,10,9,7,6,5])).
% 0.56/1.02 cnf(269,plain,
% 0.56/1.02 (P4(f6(x2691,f5(a1,x2692)),f4(a1,x2693))),
% 0.56/1.02 inference(scs_inference,[],[60,45,53,50,94,147,121,235,157,107,54,3,36,2,64,67,63,69,81,78,82,68,27,23,22,21,18,15,13,12,10,9,7,6,5,4,70])).
% 0.56/1.02 cnf(281,plain,
% 0.56/1.02 (~E(f6(x2811,f5(x2812,x2813)),f16(f6(x2814,f5(x2815,a1)),x2815))),
% 0.56/1.02 inference(scs_inference,[],[60,48,45,53,50,94,147,121,211,235,157,107,54,3,36,2,64,67,63,69,81,78,82,68,27,23,22,21,18,15,13,12,10,9,7,6,5,4,70,26,25,24,20,19,17,16,14,11,8,33])).
% 0.56/1.02 cnf(282,plain,
% 0.56/1.02 (P1(f6(f4(x2821,a2),f5(x2822,x2823)),f4(f6(x2821,f5(x2822,x2823)),a2))),
% 0.56/1.02 inference(scs_inference,[],[60,48,45,53,50,46,94,147,121,211,235,157,107,54,3,36,2,64,67,63,69,81,78,82,68,27,23,22,21,18,15,13,12,10,9,7,6,5,4,70,26,25,24,20,19,17,16,14,11,8,33,29])).
% 0.56/1.02 cnf(284,plain,
% 0.56/1.02 (P5(f20(x2841,f6(x2842,f5(a1,x2843)),x2844),f4(a1,x2845))),
% 0.56/1.02 inference(scs_inference,[],[269,76])).
% 0.56/1.02 cnf(286,plain,
% 0.56/1.02 (P5(f20(x2861,f6(x2862,f5(a1,x2863)),x2864),a1)),
% 0.56/1.02 inference(scs_inference,[],[44,269,76,40])).
% 0.56/1.02 cnf(291,plain,
% 0.56/1.02 (~E(a1,f6(x2911,f5(x2912,x2913)))),
% 0.56/1.02 inference(scs_inference,[],[44,117,236,269,76,40,82,31,4])).
% 0.56/1.02 cnf(294,plain,
% 0.56/1.02 (E(x2941,f16(f6(x2942,f5(x2943,x2941)),x2943))),
% 0.56/1.02 inference(rename_variables,[],[238])).
% 0.56/1.02 cnf(296,plain,
% 0.56/1.02 (E(x2961,f16(f6(x2962,f5(x2963,x2961)),x2963))),
% 0.56/1.02 inference(rename_variables,[],[238])).
% 0.56/1.02 cnf(301,plain,
% 0.56/1.02 (P4(f6(x3011,f5(a1,x3012)),f4(a1,x3013))),
% 0.56/1.02 inference(rename_variables,[],[269])).
% 0.56/1.02 cnf(310,plain,
% 0.56/1.02 (P1(f7(f20(x3101,a1,x3102)),a2)),
% 0.56/1.02 inference(scs_inference,[],[44,45,50,51,238,294,296,117,281,236,269,301,195,177,198,186,160,76,40,82,31,4,32,28,3,2,74,72,83,92,38,65])).
% 0.56/1.02 cnf(312,plain,
% 0.56/1.02 (P8(f6(x3121,f5(f20(x3122,a1,a3),f20(x3122,a1,a3))),f8(f20(x3122,a1,x3123)),f8(f20(x3122,a1,x3123)))),
% 0.56/1.02 inference(scs_inference,[],[44,45,50,51,238,294,296,117,281,236,269,301,215,195,177,198,186,160,76,40,82,31,4,32,28,3,2,74,72,83,92,38,65,75])).
% 0.56/1.02 cnf(315,plain,
% 0.56/1.02 (E(f17(f6(x3151,f5(x3152,x3153)),x3152),x3151)),
% 0.56/1.02 inference(rename_variables,[],[49])).
% 0.56/1.02 cnf(320,plain,
% 0.56/1.02 (E(f17(f6(x3201,f5(x3202,x3203)),x3202),x3201)),
% 0.56/1.02 inference(rename_variables,[],[49])).
% 0.56/1.02 cnf(321,plain,
% 0.56/1.02 (~P5(f17(f6(f20(x3211,f4(a1,x3212),x3213),f5(x3214,x3215)),x3214),x3216)),
% 0.56/1.02 inference(scs_inference,[],[44,95,45,50,51,49,315,320,94,238,294,296,117,281,251,236,269,301,215,195,177,198,186,158,153,160,157,76,40,82,31,4,32,28,3,2,74,72,83,92,38,65,75,34,37,42,43,41,39])).
% 0.56/1.02 cnf(326,plain,
% 0.56/1.02 (~P9(x3261,x3261)),
% 0.56/1.02 inference(rename_variables,[],[95])).
% 0.56/1.02 cnf(327,plain,
% 0.56/1.02 (E(f4(a11,x3271),f4(a3,x3271))),
% 0.56/1.02 inference(scs_inference,[],[97,95,38,4])).
% 0.56/1.02 cnf(329,plain,
% 0.56/1.02 (E(f17(f6(x3291,f5(x3292,x3293)),x3292),x3291)),
% 0.56/1.02 inference(rename_variables,[],[49])).
% 0.56/1.02 cnf(330,plain,
% 0.56/1.02 (P8(f6(x3301,f5(f20(x3302,a1,a3),f20(x3302,a1,a3))),f20(x3302,a1,a3),f8(f20(x3302,a1,x3303)))),
% 0.56/1.02 inference(scs_inference,[],[97,95,49,57,53,312,38,4,34,42])).
% 0.56/1.02 cnf(331,plain,
% 0.56/1.02 (P8(f6(x3311,f5(f20(x3312,a1,a3),f20(x3312,a1,a3))),f8(f20(x3312,a1,x3313)),f8(f20(x3312,a1,x3313)))),
% 0.56/1.02 inference(rename_variables,[],[312])).
% 0.56/1.02 cnf(336,plain,
% 0.56/1.02 (P5(f13(f20(x3361,x3362,x3363),a1),f4(a1,x3364))),
% 0.56/1.02 inference(scs_inference,[],[97,95,326,55,49,57,53,312,331,284,38,4,34,42,43,37,39])).
% 0.56/1.02 cnf(340,plain,
% 0.56/1.02 (E(f17(f6(x3401,f5(x3402,x3403)),x3402),x3401)),
% 0.56/1.02 inference(rename_variables,[],[49])).
% 0.56/1.02 cnf(346,plain,
% 0.56/1.02 (P1(f7(f20(x3461,a1,x3462)),x3463)),
% 0.56/1.02 inference(scs_inference,[],[45,97,95,326,60,55,58,50,49,329,340,57,53,312,331,284,310,38,4,34,42,43,37,39,41,3,2,36,66])).
% 0.56/1.02 cnf(349,plain,
% 0.56/1.02 (P1(a11,a3)),
% 0.56/1.02 inference(scs_inference,[],[45,97,95,326,60,55,58,46,50,49,329,340,57,53,312,331,284,310,38,4,34,42,43,37,39,41,3,2,36,66,30,29])).
% 0.56/1.02 cnf(365,plain,
% 0.56/1.02 (~E(f4(a1,x3651),f6(x3652,f5(x3653,x3654)))),
% 0.56/1.02 inference(scs_inference,[],[94,336,291,321,39,3])).
% 0.56/1.02 cnf(369,plain,
% 0.56/1.02 (~P4(f6(a1,f5(a1,x3691)),f6(x3692,f5(x3693,x3694)))),
% 0.56/1.02 inference(scs_inference,[],[57,94,233,336,291,321,282,39,3,2,65,77])).
% 0.56/1.02 cnf(374,plain,
% 0.56/1.02 (P2(f4(f6(x3741,f5(x3742,x3743)),a2))),
% 0.56/1.02 inference(scs_inference,[],[48,369,249,82,33])).
% 0.56/1.02 cnf(381,plain,
% 0.56/1.02 (E(f13(f20(x3811,x3812,x3813),x3814),f20(f15(x3811,x3814),f6(x3812,f5(x3814,a2)),x3813))),
% 0.56/1.02 inference(scs_inference,[],[99,48,55,369,327,267,249,54,82,33,36,3,2])).
% 0.56/1.02 cnf(400,plain,
% 0.56/1.02 (P4(f6(x4001,f5(a11,x4002)),a3)),
% 0.56/1.02 inference(scs_inference,[],[99,48,55,51,97,119,346,369,349,327,267,249,54,82,33,36,3,2,67,63,69,64,78,68,22,21,18,10,9,7,70])).
% 0.56/1.02 cnf(419,plain,
% 0.56/1.02 (P5(f13(f20(x4191,x4192,x4193),a1),a1)),
% 0.56/1.02 inference(scs_inference,[],[99,48,55,51,97,119,346,369,349,286,327,267,249,54,82,33,36,3,2,67,63,69,64,78,68,22,21,18,10,9,7,70,27,25,23,20,19,16,15,14,13,12,8,6,5,26,24,17,11,39])).
% 0.56/1.02 cnf(428,plain,
% 0.56/1.02 (E(f13(f20(x4281,x4282,x4283),x4284),f20(f15(x4281,x4284),f6(x4282,f5(x4284,a2)),x4283))),
% 0.56/1.02 inference(rename_variables,[],[381])).
% 0.56/1.02 cnf(440,plain,
% 0.56/1.02 ($false),
% 0.56/1.02 inference(scs_inference,[],[46,56,50,97,381,428,365,237,374,400,419,188,330,54,29,33,39,36,2,3,72,76,83,21,12]),
% 0.56/1.02 ['proof']).
% 0.56/1.02 % SZS output end Proof
% 0.56/1.02 % Total time :0.320000s
%------------------------------------------------------------------------------