TSTP Solution File: LCL668+1.001 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 06:50:17 EDT 2023
% Result : Theorem 0.13s 0.61s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu Aug 24 20:43:27 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark
% 0.13/0.60 %-------------------------------------------
% 0.13/0.60 % File :CSE---1.6
% 0.13/0.60 % Problem :theBenchmark
% 0.13/0.60 % Transform :cnf
% 0.13/0.60 % Format :tptp:raw
% 0.13/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.13/0.60
% 0.13/0.60 % Result :Theorem 0.100000s
% 0.13/0.60 % Output :CNFRefutation 0.100000s
% 0.13/0.60 %-------------------------------------------
% 0.13/0.61 %------------------------------------------------------------------------------
% 0.13/0.61 % File : LCL668+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.61 % Domain : Logic Calculi (Modal Logic)
% 0.13/0.61 % Problem : In KT, black and white polygon with odd number of vertices, size 1
% 0.13/0.61 % Version : Especial.
% 0.13/0.61 % English : If we have a polygon with n vertices, and all the vertices are
% 0.13/0.61 % either black or white, then two adjacent vertices have the same
% 0.13/0.61 % colour.
% 0.13/0.61
% 0.13/0.61 % Refs : [BHS00] Balsiger et al. (2000), A Benchmark Method for the Pro
% 0.13/0.61 % : [Kam08] Kaminski (2008), Email to G. Sutcliffe
% 0.13/0.61 % Source : [Kam08]
% 0.13/0.61 % Names : kt_poly_p [BHS00]
% 0.13/0.61
% 0.13/0.61 % Status : Theorem
% 0.13/0.61 % Rating : 0.00 v7.5.0, 0.14 v7.4.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.2.0, 0.09 v6.1.0, 0.16 v6.0.0, 0.25 v5.5.0, 0.33 v5.4.0, 0.30 v5.2.0, 0.07 v5.0.0, 0.25 v4.1.0, 0.28 v4.0.1, 0.26 v4.0.0
% 0.13/0.61 % Syntax : Number of formulae : 2 ( 1 unt; 0 def)
% 0.13/0.61 % Number of atoms : 85 ( 0 equ)
% 0.13/0.61 % Maximal formula atoms : 84 ( 42 avg)
% 0.13/0.61 % Number of connectives : 168 ( 85 ~; 63 |; 20 &)
% 0.13/0.61 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.13/0.61 % Maximal formula depth : 46 ( 24 avg)
% 0.13/0.61 % Maximal term depth : 1 ( 1 avg)
% 0.13/0.61 % Number of predicates : 11 ( 11 usr; 0 prp; 1-2 aty)
% 0.13/0.61 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.13/0.61 % Number of variables : 49 ( 48 !; 1 ?)
% 0.13/0.61 % SPC : FOF_THM_RFO_NEQ
% 0.13/0.61
% 0.13/0.61 % Comments : A naive relational encoding of the modal logic problem into
% 0.13/0.61 % first-order logic.
% 0.13/0.61 %------------------------------------------------------------------------------
% 0.13/0.61 fof(reflexivity,axiom,
% 0.13/0.61 ! [X] : r1(X,X) ).
% 0.13/0.61
% 0.13/0.61 fof(main,conjecture,
% 0.13/0.61 ~ ? [X] :
% 0.13/0.61 ~ ( ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ( ~ p12(X)
% 0.13/0.61 & ~ p10(X)
% 0.13/0.61 & ~ p8(X)
% 0.13/0.61 & ~ p6(X)
% 0.13/0.61 & ~ p4(X)
% 0.13/0.61 & ~ p2(X) ) ) ) ) ) ) )
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | p7(Y) )
% 0.13/0.61 | ~ ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ~ ( ~ ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ~ ( ( ~ p5(X)
% 0.13/0.61 & ~ p1(X) )
% 0.13/0.61 | ( p1(X)
% 0.13/0.61 & p5(X) ) ) ) ) ) ) ) ) )
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | p6(X) )
% 0.13/0.61 | ~ ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ~ ( ~ ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ~ ( ( ~ p4(X)
% 0.13/0.61 & ~ p5(X) )
% 0.13/0.61 | ( p5(X)
% 0.13/0.61 & p4(X) ) ) ) ) ) ) ) )
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | p5(Y) )
% 0.13/0.61 | ~ ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ~ ( ~ ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ~ ( ( ~ p3(X)
% 0.13/0.61 & ~ p4(X) )
% 0.13/0.61 | ( p4(X)
% 0.13/0.61 & p3(X) ) ) ) ) ) ) )
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | p4(X) )
% 0.13/0.61 | ~ ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ~ ( ~ ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ~ ( ( ~ p2(X)
% 0.13/0.61 & ~ p3(X) )
% 0.13/0.61 | ( p3(X)
% 0.13/0.61 & p2(X) ) ) ) ) ) )
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | p3(Y) )
% 0.13/0.61 | ~ ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ~ ~ ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ~ ( ( ~ p1(X)
% 0.13/0.61 & ~ p2(X) )
% 0.13/0.61 | ( p2(X)
% 0.13/0.61 & p1(X) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ! [Y] :
% 0.13/0.61 ( ~ r1(X,Y)
% 0.13/0.61 | ! [X] :
% 0.13/0.61 ( ~ r1(Y,X)
% 0.13/0.61 | ( p6(X)
% 0.13/0.61 & p5(X)
% 0.13/0.61 & p4(X)
% 0.13/0.61 & p3(X)
% 0.13/0.61 & p2(X)
% 0.13/0.61 & p1(X) ) ) ) ) ) ) ) ) ).
% 0.13/0.61
% 0.13/0.61 %------------------------------------------------------------------------------
% 0.13/0.61 %-------------------------------------------
% 0.13/0.61 % Proof found
% 0.13/0.61 % SZS status Theorem for theBenchmark
% 0.13/0.61 % SZS output start Proof
% 0.13/0.61 %ClaNum:35(EqnAxiom:0)
% 0.13/0.61 %VarNum:228(SingletonVarNum:101)
% 0.13/0.61 %MaxLitNum:10
% 0.13/0.61 %MaxfuncDepth:1
% 0.13/0.61 %SharedTerms:40
% 0.13/0.61 %goalClause: 1 2 3 4 5 6 7 8 9 10 11 12 13 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
% 0.13/0.61 %singleGoalClaCount:14
% 0.13/0.61 [1]P1(a1,a11)
% 0.13/0.61 [2]P1(a1,a12)
% 0.13/0.62 [3]P1(a1,a2)
% 0.13/0.62 [4]P1(a11,a13)
% 0.13/0.62 [5]P1(a13,a14)
% 0.13/0.62 [6]P1(a14,a15)
% 0.13/0.62 [7]P1(a15,a16)
% 0.13/0.62 [8]P1(a16,a17)
% 0.13/0.62 [9]P1(a2,a6)
% 0.13/0.62 [10]P1(a6,a7)
% 0.13/0.62 [11]P1(a7,a8)
% 0.13/0.62 [12]P1(a8,a9)
% 0.13/0.62 [13]P1(a9,a10)
% 0.13/0.62 [15]~P2(a12)
% 0.13/0.62 [14]P1(x141,x141)
% 0.13/0.62 [18]~P1(a1,x181)+~P6(f18(x181))
% 0.13/0.62 [19]~P1(a1,x191)+P1(x191,f18(x191))
% 0.13/0.62 [20]~P1(x202,x201)+~P1(a1,x202)+P1(x201,f3(x202,x201))
% 0.13/0.62 [21]~P1(x211,x212)+~P1(a1,x211)+~P10(f3(x211,x212))
% 0.13/0.62 [22]~P1(x223,x221)+~P1(x222,x223)+~P1(a1,x222)+P1(x221,f4(x222,x223,x221))
% 0.13/0.62 [33]~P1(x331,x332)+~P1(x333,x331)+~P1(a1,x333)+~P7(f4(x333,x331,x332))
% 0.13/0.62 [34]~P1(x344,x341)+~P1(x343,x344)+~P1(x342,x343)+~P1(a1,x342)+P1(x341,f5(x342,x343,x344,x341))
% 0.13/0.62 [35]~P1(x351,x352)+~P1(x353,x351)+~P1(x354,x353)+~P1(a1,x354)+~P9(f5(x354,x353,x351,x352))
% 0.13/0.62 [16]P3(a17)+P4(a17)+P11(a17)+P6(a17)+P7(a17)+P8(a17)
% 0.13/0.62 [17]~P6(a10)+~P7(a10)+~P8(a10)+~P10(a10)+~P5(a10)+~P9(a10)
% 0.13/0.62 [23]P10(x231)+~P1(x238,x231)+P7(x231)+~P1(x232,x233)+~P1(x233,x234)+~P1(x234,x235)+~P1(x235,x236)+~P1(x236,x237)+~P1(x237,x238)+~P1(a1,x232)
% 0.13/0.62 [24]P9(x241)+~P1(x248,x241)+P7(x241)+~P1(x242,x243)+~P1(x243,x244)+~P1(x244,x245)+~P1(x245,x246)+~P1(x246,x247)+~P1(x247,x248)+~P1(a1,x242)
% 0.13/0.62 [25]P5(x251)+~P1(x258,x251)+P8(x251)+~P1(x252,x253)+~P1(x253,x254)+~P1(x254,x255)+~P1(x255,x256)+~P1(x256,x257)+~P1(x257,x258)+~P1(a1,x252)
% 0.13/0.62 [26]P9(x261)+~P1(x268,x261)+P8(x261)+~P1(x262,x263)+~P1(x263,x264)+~P1(x264,x265)+~P1(x265,x266)+~P1(x266,x267)+~P1(x267,x268)+~P1(a1,x262)
% 0.13/0.62 [27]P5(x271)+~P1(x278,x271)+P10(x271)+~P1(x272,x273)+~P1(x273,x274)+~P1(x274,x275)+~P1(x275,x276)+~P1(x276,x277)+~P1(x277,x278)+~P1(a1,x272)
% 0.13/0.62 [28]~P10(x281)+~P1(x288,x281)+~P7(x281)+~P1(x282,x283)+~P1(x283,x284)+~P1(x284,x285)+~P1(x285,x286)+~P1(x286,x287)+~P1(x287,x288)+~P1(a1,x282)
% 0.13/0.62 [29]~P9(x291)+~P1(x298,x291)+~P7(x291)+~P1(x292,x293)+~P1(x293,x294)+~P1(x294,x295)+~P1(x295,x296)+~P1(x296,x297)+~P1(x297,x298)+~P1(a1,x292)
% 0.13/0.62 [30]~P5(x301)+~P1(x308,x301)+~P8(x301)+~P1(x302,x303)+~P1(x303,x304)+~P1(x304,x305)+~P1(x305,x306)+~P1(x306,x307)+~P1(x307,x308)+~P1(a1,x302)
% 0.13/0.62 [31]~P9(x311)+~P1(x318,x311)+~P8(x311)+~P1(x312,x313)+~P1(x313,x314)+~P1(x314,x315)+~P1(x315,x316)+~P1(x316,x317)+~P1(x317,x318)+~P1(a1,x312)
% 0.13/0.62 [32]~P5(x321)+~P1(x328,x321)+~P10(x321)+~P1(x322,x323)+~P1(x323,x324)+~P1(x324,x325)+~P1(x325,x326)+~P1(x326,x327)+~P1(x327,x328)+~P1(a1,x322)
% 0.13/0.62 %EqnAxiom
% 0.13/0.62
% 0.13/0.62 %-------------------------------------------
% 0.13/0.62 cnf(37,plain,
% 0.13/0.62 (P1(x371,x371)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(39,plain,
% 0.13/0.62 (P1(x391,x391)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(41,plain,
% 0.13/0.62 (P1(a1,f5(a1,a1,a1,a1))),
% 0.13/0.62 inference(scs_inference,[],[1,14,37,39,20,22,34])).
% 0.13/0.62 cnf(42,plain,
% 0.13/0.62 (P1(x421,x421)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(46,plain,
% 0.13/0.62 (~P10(f3(a11,a11))),
% 0.13/0.62 inference(scs_inference,[],[1,14,37,39,42,20,22,34,19,21])).
% 0.13/0.62 cnf(47,plain,
% 0.13/0.62 (P1(x471,x471)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(51,plain,
% 0.13/0.62 (~P9(f5(a1,a1,a1,a1))),
% 0.13/0.62 inference(scs_inference,[],[1,14,37,39,42,47,20,22,34,19,21,33,35])).
% 0.13/0.62 cnf(81,plain,
% 0.13/0.62 (P8(f5(a1,a1,a1,a1))),
% 0.13/0.62 inference(scs_inference,[],[14,51,41,26])).
% 0.13/0.62 cnf(83,plain,
% 0.13/0.62 (P1(x831,x831)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(84,plain,
% 0.13/0.62 (P7(f5(a1,a1,a1,a1))),
% 0.13/0.62 inference(scs_inference,[],[14,83,51,41,26,24])).
% 0.13/0.62 cnf(86,plain,
% 0.13/0.62 (P1(x861,x861)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(88,plain,
% 0.13/0.62 (~P10(f3(a1,a11))),
% 0.13/0.62 inference(scs_inference,[],[1,14,83,86,51,41,26,24,21])).
% 0.13/0.62 cnf(89,plain,
% 0.13/0.62 (P1(x891,x891)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(91,plain,
% 0.13/0.62 (~P9(f5(a1,a1,a1,a11))),
% 0.13/0.62 inference(scs_inference,[],[1,14,83,86,89,51,41,26,24,21,35])).
% 0.13/0.62 cnf(94,plain,
% 0.13/0.62 (P1(x941,x941)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(97,plain,
% 0.13/0.62 (P1(x971,x971)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(98,plain,
% 0.13/0.62 (P1(x981,x981)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(102,plain,
% 0.13/0.62 (P1(a11,f3(a1,a11))),
% 0.13/0.62 inference(scs_inference,[],[1,4,5,6,7,14,83,86,89,94,98,97,51,46,41,26,24,21,35,33,23,20])).
% 0.13/0.62 cnf(103,plain,
% 0.13/0.62 (P1(x1031,x1031)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(107,plain,
% 0.13/0.62 (P1(x1071,x1071)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(109,plain,
% 0.13/0.62 (P1(a11,f5(a1,a1,a1,a11))),
% 0.13/0.62 inference(scs_inference,[],[1,4,5,6,7,14,83,86,89,94,98,97,103,107,51,46,41,26,24,21,35,33,23,20,22,34])).
% 0.13/0.62 cnf(131,plain,
% 0.13/0.62 (P1(x1311,x1311)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(132,plain,
% 0.13/0.62 (P1(x1321,x1321)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(133,plain,
% 0.13/0.62 (~P1(x1331,x1332)+~P1(x1333,x1331)+~P9(f5(x1333,x1331,x1332,x1334))+~P1(a1,x1333)+~P1(x1332,x1334)),
% 0.13/0.62 inference(rename_variables,[],[35])).
% 0.13/0.62 cnf(135,plain,
% 0.13/0.62 (P1(x1351,x1351)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(136,plain,
% 0.13/0.62 (P1(x1361,x1361)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(139,plain,
% 0.13/0.62 (~P10(f5(a1,a1,a1,a1))),
% 0.13/0.62 inference(scs_inference,[],[2,3,9,14,132,136,135,131,84,41,35,133,28])).
% 0.13/0.62 cnf(146,plain,
% 0.13/0.62 (P1(x1461,x1461)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(153,plain,
% 0.13/0.62 (P1(x1531,x1531)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(154,plain,
% 0.13/0.62 (P1(x1541,x1541)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(156,plain,
% 0.13/0.62 (~P7(f4(a1,a12,a12))),
% 0.13/0.62 inference(scs_inference,[],[2,3,9,14,132,136,146,154,153,135,131,84,88,102,41,1,35,133,28,27,33])).
% 0.13/0.62 cnf(157,plain,
% 0.13/0.62 (P1(x1571,x1571)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(158,plain,
% 0.13/0.62 (P1(x1581,x1581)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(160,plain,
% 0.13/0.62 (P1(a12,f4(a1,a12,a12))),
% 0.13/0.62 inference(scs_inference,[],[2,3,9,14,132,136,146,154,157,153,158,135,131,84,88,102,41,1,35,133,28,27,33,22])).
% 0.13/0.62 cnf(208,plain,
% 0.13/0.62 (P1(x2081,x2081)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(209,plain,
% 0.13/0.62 (P1(x2091,x2091)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(210,plain,
% 0.13/0.62 (P1(x2101,x2101)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(213,plain,
% 0.13/0.62 (P1(x2131,x2131)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(214,plain,
% 0.13/0.62 (~P1(x2141,x2142)+~P9(f5(x2141,x2142,x2143,x2144))+~P1(a1,x2141)+~P1(x2143,x2144)+~P1(x2142,x2143)),
% 0.13/0.62 inference(rename_variables,[],[35])).
% 0.13/0.62 cnf(216,plain,
% 0.13/0.62 (P1(x2161,x2161)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(218,plain,
% 0.13/0.62 (P1(x2181,x2181)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(222,plain,
% 0.13/0.62 (P1(x2221,x2221)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(225,plain,
% 0.13/0.62 (P1(x2251,x2251)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(228,plain,
% 0.13/0.62 (P1(x2281,x2281)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(231,plain,
% 0.13/0.62 (P1(x2311,x2311)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(233,plain,
% 0.13/0.62 (~P5(f5(a1,a1,a1,a1))),
% 0.13/0.62 inference(scs_inference,[],[2,14,210,213,216,222,228,231,209,218,225,208,160,91,156,109,81,41,1,26,35,24,23,34,214,30])).
% 0.13/0.62 cnf(301,plain,
% 0.13/0.62 (P1(x3011,x3011)),
% 0.13/0.62 inference(rename_variables,[],[14])).
% 0.13/0.62 cnf(305,plain,
% 0.13/0.62 ($false),
% 0.13/0.62 inference(scs_inference,[],[4,41,5,14,301,233,139,1,33,22,27]),
% 0.13/0.62 ['proof']).
% 0.13/0.62 % SZS output end Proof
% 0.13/0.62 % Total time :0.100000s
%------------------------------------------------------------------------------