TSTP Solution File: LCL656+1.005 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n017.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 06:50:09 EDT 2023
% Result : Theorem 0.23s 0.69s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n017.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 06:04:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.23/0.58 start to proof:theBenchmark
% 0.23/0.68 %-------------------------------------------
% 0.23/0.68 % File :CSE---1.6
% 0.23/0.68 % Problem :theBenchmark
% 0.23/0.68 % Transform :cnf
% 0.23/0.68 % Format :tptp:raw
% 0.23/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.23/0.68
% 0.23/0.68 % Result :Theorem 0.020000s
% 0.23/0.68 % Output :CNFRefutation 0.020000s
% 0.23/0.68 %-------------------------------------------
% 0.23/0.68 %------------------------------------------------------------------------------
% 0.23/0.68 % File : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.23/0.68 % Domain : Logic Calculi (Modal Logic)
% 0.23/0.68 % Problem : In KT, the branching formula made provable, size 5
% 0.23/0.68 % Version : Especial.
% 0.23/0.68 % English : The branching formula plus a negation symbol in front and an
% 0.23/0.68 % additional subformula to make the formula provable.
% 0.23/0.68
% 0.23/0.68 % Refs : [BHS00] Balsiger et al. (2000), A Benchmark Method for the Pro
% 0.23/0.68 % : [Kam08] Kaminski (2008), Email to G. Sutcliffe
% 0.23/0.68 % Source : [Kam08]
% 0.23/0.68 % Names : kt_branch_p [BHS00]
% 0.23/0.68
% 0.23/0.68 % Status : Theorem
% 0.23/0.68 % Rating : 0.00 v7.5.0, 0.05 v7.4.0, 0.00 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.09 v6.1.0, 0.16 v6.0.0, 0.25 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.07 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0
% 0.23/0.68 % Syntax : Number of formulae : 2 ( 1 unt; 0 def)
% 0.23/0.68 % Number of atoms : 130 ( 0 equ)
% 0.23/0.68 % Maximal formula atoms : 129 ( 65 avg)
% 0.23/0.68 % Number of connectives : 246 ( 118 ~; 74 |; 54 &)
% 0.23/0.68 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.23/0.68 % Maximal formula depth : 35 ( 19 avg)
% 0.23/0.68 % Maximal term depth : 1 ( 1 avg)
% 0.23/0.68 % Number of predicates : 14 ( 14 usr; 0 prp; 1-2 aty)
% 0.23/0.68 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.23/0.68 % Number of variables : 34 ( 33 !; 1 ?)
% 0.23/0.68 % SPC : FOF_THM_RFO_NEQ
% 0.23/0.68
% 0.23/0.68 % Comments : A naive relational encoding of the modal logic problem into
% 0.23/0.68 % first-order logic.
% 0.23/0.68 %------------------------------------------------------------------------------
% 0.23/0.68 fof(reflexivity,axiom,
% 0.23/0.68 ! [X] : r1(X,X) ).
% 0.23/0.68
% 0.23/0.68 fof(main,conjecture,
% 0.23/0.68 ~ ? [X] :
% 0.23/0.68 ~ ( ~ ! [Y] :
% 0.23/0.68 ( ~ r1(X,Y)
% 0.23/0.68 | ! [X] :
% 0.23/0.68 ( ~ r1(Y,X)
% 0.23/0.68 | ! [Y] :
% 0.23/0.68 ( ~ r1(X,Y)
% 0.23/0.68 | ! [X] :
% 0.23/0.68 ( ~ r1(Y,X)
% 0.23/0.68 | ! [Y] :
% 0.23/0.68 ( ~ r1(X,Y)
% 0.23/0.68 | p3(Y) ) ) ) ) )
% 0.23/0.68 | ~ ( ! [Y] :
% 0.23/0.68 ( ~ r1(X,Y)
% 0.23/0.68 | ! [X] :
% 0.23/0.68 ( ~ r1(Y,X)
% 0.23/0.68 | ! [Y] :
% 0.23/0.68 ( ~ r1(X,Y)
% 0.23/0.68 | ! [X] :
% 0.23/0.68 ( ~ r1(Y,X)
% 0.23/0.68 | ! [Y] :
% 0.23/0.68 ( ~ r1(X,Y)
% 0.23/0.68 | ( ( ( ~ ! [X] :
% 0.23/0.68 ( ~ r1(Y,X)
% 0.23/0.68 | ~ ( ~ p6(X)
% 0.23/0.68 & ~ p106(X)
% 0.23/0.68 & p105(X) ) )
% 0.23/0.68 & ~ ! [X] :
% 0.23/0.68 ( ~ r1(Y,X)
% 0.23/0.68 | ~ ( p6(X)
% 0.23/0.68 & ~ p106(X)
% 0.23/0.68 & p105(X) ) ) )
% 0.23/0.68 | ~ ( ~ p105(Y)
% 0.23/0.68 & p104(Y) ) )
% 0.23/0.68 & ( ( ~ ! [X] :
% 0.23/0.68 ( ~ r1(Y,X)
% 0.23/0.68 | ~ ( ~ p5(X)
% 0.23/0.68 & ~ p105(X)
% 0.23/0.68 & p104(X) ) )
% 0.23/0.68 & ~ ! [X] :
% 0.23/0.68 ( ~ r1(Y,X)
% 0.23/0.68 | ~ ( p5(X)
% 0.23/0.68 & ~ p105(X)
% 0.23/0.68 & p104(X) ) ) )
% 0.23/0.68 | ~ ( ~ p104(Y)
% 0.23/0.68 & p103(Y) ) )
% 0.23/0.69 & ( ( ~ ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ ( ~ p4(X)
% 0.23/0.69 & ~ p104(X)
% 0.23/0.69 & p103(X) ) )
% 0.23/0.69 & ~ ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ ( p4(X)
% 0.23/0.69 & ~ p104(X)
% 0.23/0.69 & p103(X) ) ) )
% 0.23/0.69 | ~ ( ~ p103(Y)
% 0.23/0.69 & p102(Y) ) )
% 0.23/0.69 & ( ( ~ ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ ( ~ p3(X)
% 0.23/0.69 & ~ p103(X)
% 0.23/0.69 & p102(X) ) )
% 0.23/0.69 & ~ ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ ( p3(X)
% 0.23/0.69 & ~ p103(X)
% 0.23/0.69 & p102(X) ) ) )
% 0.23/0.69 | ~ ( ~ p102(Y)
% 0.23/0.69 & p101(Y) ) )
% 0.23/0.69 & ( ( ~ ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ ( ~ p2(X)
% 0.23/0.69 & ~ p102(X)
% 0.23/0.69 & p101(X) ) )
% 0.23/0.69 & ~ ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ ( p2(X)
% 0.23/0.69 & ~ p102(X)
% 0.23/0.69 & p101(X) ) ) )
% 0.23/0.69 | ~ ( ~ p101(Y)
% 0.23/0.69 & p100(Y) ) )
% 0.23/0.69 & ( ( ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ p6(X)
% 0.23/0.69 | ~ p105(X) )
% 0.23/0.69 | p6(Y) )
% 0.23/0.69 & ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | p6(X)
% 0.23/0.69 | ~ p105(X) )
% 0.23/0.69 | ~ p6(Y) ) )
% 0.23/0.69 | ~ p105(Y) )
% 0.23/0.69 & ( ( ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ p5(X)
% 0.23/0.69 | ~ p104(X) )
% 0.23/0.69 | p5(Y) )
% 0.23/0.69 & ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | p5(X)
% 0.23/0.69 | ~ p104(X) )
% 0.23/0.69 | ~ p5(Y) ) )
% 0.23/0.69 | ~ p104(Y) )
% 0.23/0.69 & ( ( ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ p4(X)
% 0.23/0.69 | ~ p103(X) )
% 0.23/0.69 | p4(Y) )
% 0.23/0.69 & ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | p4(X)
% 0.23/0.69 | ~ p103(X) )
% 0.23/0.69 | ~ p4(Y) ) )
% 0.23/0.69 | ~ p103(Y) )
% 0.23/0.69 & ( ( ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ p3(X)
% 0.23/0.69 | ~ p102(X) )
% 0.23/0.69 | p3(Y) )
% 0.23/0.69 & ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | p3(X)
% 0.23/0.69 | ~ p102(X) )
% 0.23/0.69 | ~ p3(Y) ) )
% 0.23/0.69 | ~ p102(Y) )
% 0.23/0.69 & ( ( ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ p2(X)
% 0.23/0.69 | ~ p101(X) )
% 0.23/0.69 | p2(Y) )
% 0.23/0.69 & ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | p2(X)
% 0.23/0.69 | ~ p101(X) )
% 0.23/0.69 | ~ p2(Y) ) )
% 0.23/0.69 | ~ p101(Y) )
% 0.23/0.69 & ( ( ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | ~ p1(X)
% 0.23/0.69 | ~ p100(X) )
% 0.23/0.69 | p1(Y) )
% 0.23/0.69 & ( ! [X] :
% 0.23/0.69 ( ~ r1(Y,X)
% 0.23/0.69 | p1(X)
% 0.23/0.69 | ~ p100(X) )
% 0.23/0.69 | ~ p1(Y) ) )
% 0.23/0.69 | ~ p100(Y) )
% 0.23/0.69 & ( p105(Y)
% 0.23/0.69 | ~ p106(Y) )
% 0.23/0.69 & ( p104(Y)
% 0.23/0.69 | ~ p105(Y) )
% 0.23/0.69 & ( p103(Y)
% 0.23/0.69 | ~ p104(Y) )
% 0.23/0.69 & ( p102(Y)
% 0.23/0.69 | ~ p103(Y) )
% 0.23/0.69 & ( p101(Y)
% 0.23/0.69 | ~ p102(Y) )
% 0.23/0.69 & ( p100(Y)
% 0.23/0.69 | ~ p101(Y) ) ) ) ) ) ) )
% 0.23/0.69 & ~ p101(X)
% 0.23/0.69 & p100(X) ) ) ).
% 0.23/0.69
% 0.23/0.69 %------------------------------------------------------------------------------
% 0.23/0.69 %-------------------------------------------
% 0.23/0.69 % Proof found
% 0.23/0.69 % SZS status Theorem for theBenchmark
% 0.23/0.69 % SZS output start Proof
% 0.23/0.69 %ClaNum:63(EqnAxiom:0)
% 0.23/0.69 %VarNum:294(SingletonVarNum:81)
% 0.23/0.69 %MaxLitNum:6
% 0.23/0.69 %MaxfuncDepth:1
% 0.23/0.69 %SharedTerms:3
% 0.23/0.69 %goalClause: 1 3 62 63
% 0.23/0.69 %singleGoalClaCount:2
% 0.23/0.69 [1]P1(a1)
% 0.23/0.69 [3]~P5(a1)
% 0.23/0.69 [2]P4(x21,x21)
% 0.23/0.69 [4]~P10(x41)+~P2(x41)+P6(x41)
% 0.23/0.69 [5]~P6(x51)+~P2(x51)+P7(x51)
% 0.23/0.69 [6]~P7(x61)+~P2(x61)+P8(x61)
% 0.23/0.69 [7]~P8(x71)+~P2(x71)+P9(x71)
% 0.23/0.69 [8]~P9(x81)+~P2(x81)+P5(x81)
% 0.23/0.69 [9]~P5(x91)+~P2(x91)+P1(x91)
% 0.23/0.69 [10]~P7(x101)+~P2(x101)+P6(x101)+P11(f4(x101))
% 0.23/0.69 [11]~P7(x111)+~P2(x111)+P6(x111)+P6(f5(x111))
% 0.23/0.69 [12]~P7(x121)+~P2(x121)+P6(x121)+P6(f4(x121))
% 0.23/0.69 [13]~P8(x131)+~P2(x131)+P7(x131)+P7(f6(x131))
% 0.23/0.69 [14]~P8(x141)+~P2(x141)+P7(x141)+P7(f7(x141))
% 0.23/0.69 [15]~P8(x151)+~P2(x151)+P7(x151)+P12(f7(x151))
% 0.23/0.69 [16]~P9(x161)+~P2(x161)+P8(x161)+P8(f8(x161))
% 0.23/0.69 [17]~P9(x171)+~P2(x171)+P8(x171)+P8(f9(x171))
% 0.23/0.69 [18]~P9(x181)+~P2(x181)+P8(x181)+P13(f9(x181))
% 0.23/0.69 [19]~P5(x191)+~P2(x191)+P9(x191)+P14(f10(x191))
% 0.23/0.69 [20]~P5(x201)+~P2(x201)+P9(x201)+P9(f11(x201))
% 0.23/0.69 [21]~P5(x211)+~P2(x211)+P9(x211)+P9(f10(x211))
% 0.23/0.69 [22]~P1(x221)+~P2(x221)+P5(x221)+P5(f2(x221))
% 0.23/0.69 [23]~P1(x231)+~P2(x231)+P5(x231)+P5(f3(x231))
% 0.23/0.69 [24]~P1(x241)+~P2(x241)+P5(x241)+P15(f3(x241))
% 0.23/0.69 [25]~P7(x251)+~P2(x251)+P6(x251)+~P11(f5(x251))
% 0.23/0.69 [26]~P7(x261)+~P2(x261)+P6(x261)+~P10(f5(x261))
% 0.23/0.69 [27]~P7(x271)+~P2(x271)+P6(x271)+~P10(f4(x271))
% 0.23/0.69 [28]~P8(x281)+~P2(x281)+P7(x281)+~P6(f6(x281))
% 0.23/0.69 [29]~P8(x291)+~P2(x291)+P7(x291)+~P6(f7(x291))
% 0.23/0.69 [30]~P8(x301)+~P2(x301)+P7(x301)+~P12(f6(x301))
% 0.23/0.69 [31]~P9(x311)+~P2(x311)+P8(x311)+~P7(f8(x311))
% 0.23/0.69 [32]~P9(x321)+~P2(x321)+P8(x321)+~P7(f9(x321))
% 0.23/0.69 [33]~P9(x331)+~P2(x331)+P8(x331)+~P13(f8(x331))
% 0.23/0.69 [34]~P5(x341)+~P2(x341)+P9(x341)+~P14(f11(x341))
% 0.23/0.69 [35]~P5(x351)+~P2(x351)+P9(x351)+~P8(f11(x351))
% 0.23/0.69 [36]~P5(x361)+~P2(x361)+P9(x361)+~P8(f10(x361))
% 0.23/0.69 [37]~P1(x371)+~P2(x371)+P5(x371)+~P9(f2(x371))
% 0.23/0.69 [38]~P1(x381)+~P2(x381)+P5(x381)+~P9(f3(x381))
% 0.23/0.69 [39]~P1(x391)+~P2(x391)+P5(x391)+~P15(f2(x391))
% 0.23/0.69 [40]~P7(x401)+~P2(x401)+P6(x401)+P4(x401,f5(x401))
% 0.23/0.69 [41]~P7(x411)+~P2(x411)+P6(x411)+P4(x411,f4(x411))
% 0.23/0.69 [42]~P8(x421)+~P2(x421)+P7(x421)+P4(x421,f6(x421))
% 0.23/0.69 [43]~P8(x431)+~P2(x431)+P7(x431)+P4(x431,f7(x431))
% 0.23/0.69 [44]~P9(x441)+~P2(x441)+P8(x441)+P4(x441,f8(x441))
% 0.23/0.69 [45]~P9(x451)+~P2(x451)+P8(x451)+P4(x451,f9(x451))
% 0.23/0.69 [46]~P5(x461)+~P2(x461)+P9(x461)+P4(x461,f11(x461))
% 0.23/0.69 [47]~P5(x471)+~P2(x471)+P9(x471)+P4(x471,f10(x471))
% 0.23/0.69 [48]~P1(x481)+~P2(x481)+P5(x481)+P4(x481,f2(x481))
% 0.23/0.69 [49]~P1(x491)+~P2(x491)+P5(x491)+P4(x491,f3(x491))
% 0.23/0.69 [50]~P9(x501)+~P9(x502)+~P2(x502)+~P4(x502,x501)+P14(x501)+~P14(x502)
% 0.23/0.69 [51]~P9(x512)+~P9(x511)+~P2(x511)+~P4(x511,x512)+P14(x511)+~P14(x512)
% 0.23/0.69 [52]~P6(x521)+~P6(x522)+~P2(x522)+~P4(x522,x521)+P11(x521)+~P11(x522)
% 0.23/0.69 [53]~P6(x532)+~P6(x531)+~P2(x531)+~P4(x531,x532)+P11(x531)+~P11(x532)
% 0.23/0.69 [54]~P7(x541)+~P12(x542)+~P2(x542)+~P4(x542,x541)+P12(x541)+~P7(x542)
% 0.23/0.69 [55]~P7(x551)+~P12(x552)+~P2(x551)+~P4(x551,x552)+P12(x551)+~P7(x552)
% 0.23/0.69 [56]~P8(x561)+~P13(x562)+~P2(x562)+~P4(x562,x561)+P13(x561)+~P8(x562)
% 0.23/0.69 [57]~P8(x571)+~P13(x572)+~P2(x571)+~P4(x571,x572)+P13(x571)+~P8(x572)
% 0.23/0.69 [58]~P5(x581)+~P15(x582)+~P2(x582)+~P4(x582,x581)+P15(x581)+~P5(x582)
% 0.23/0.69 [59]~P5(x591)+~P15(x592)+~P2(x591)+~P4(x591,x592)+P15(x591)+~P5(x592)
% 0.23/0.69 [60]~P1(x601)+~P3(x602)+~P2(x602)+~P4(x602,x601)+P3(x601)+~P1(x602)
% 0.23/0.69 [61]~P1(x611)+~P3(x612)+~P2(x611)+~P4(x611,x612)+P3(x611)+~P1(x612)
% 0.23/0.69 [62]P14(x621)+~P4(x622,x621)+~P4(x623,x622)+~P4(x624,x623)+~P4(x625,x624)+~P4(a1,x625)
% 0.23/0.69 [63]P2(x631)+~P4(x632,x631)+~P4(x633,x632)+~P4(x634,x633)+~P4(x635,x634)+~P4(a1,x635)
% 0.23/0.69 %EqnAxiom
% 0.23/0.69
% 0.23/0.69 %-------------------------------------------
% 0.23/0.69 cnf(64,plain,
% 0.23/0.69 (P2(a1)),
% 0.23/0.69 inference(scs_inference,[],[2,63])).
% 0.23/0.69 cnf(65,plain,
% 0.23/0.69 (P4(x651,x651)),
% 0.23/0.69 inference(rename_variables,[],[2])).
% 0.23/0.69 cnf(67,plain,
% 0.23/0.69 (P4(x671,x671)),
% 0.23/0.69 inference(rename_variables,[],[2])).
% 0.23/0.69 cnf(76,plain,
% 0.23/0.69 (P4(a1,f3(a1))),
% 0.23/0.69 inference(scs_inference,[],[1,2,65,3,63,62,8,7,6,5,49])).
% 0.23/0.69 cnf(78,plain,
% 0.23/0.69 (P4(a1,f2(a1))),
% 0.23/0.69 inference(scs_inference,[],[1,2,65,3,63,62,8,7,6,5,49,48])).
% 0.23/0.69 cnf(80,plain,
% 0.23/0.69 (~P15(f2(a1))),
% 0.23/0.69 inference(scs_inference,[],[1,2,65,3,63,62,8,7,6,5,49,48,39])).
% 0.23/0.69 cnf(82,plain,
% 0.23/0.69 (~P9(f3(a1))),
% 0.23/0.69 inference(scs_inference,[],[1,2,65,3,63,62,8,7,6,5,49,48,39,38])).
% 0.23/0.69 cnf(84,plain,
% 0.23/0.69 (~P9(f2(a1))),
% 0.23/0.69 inference(scs_inference,[],[1,2,65,3,63,62,8,7,6,5,49,48,39,38,37])).
% 0.23/0.69 cnf(86,plain,
% 0.23/0.69 (P15(f3(a1))),
% 0.23/0.69 inference(scs_inference,[],[1,2,65,3,63,62,8,7,6,5,49,48,39,38,37,24])).
% 0.23/0.69 cnf(88,plain,
% 0.23/0.69 (P5(f3(a1))),
% 0.23/0.69 inference(scs_inference,[],[1,2,65,3,63,62,8,7,6,5,49,48,39,38,37,24,23])).
% 0.23/0.69 cnf(90,plain,
% 0.23/0.69 (P5(f2(a1))),
% 0.23/0.69 inference(scs_inference,[],[1,2,65,3,63,62,8,7,6,5,49,48,39,38,37,24,23,22])).
% 0.23/0.69 cnf(95,plain,
% 0.23/0.69 (P1(f3(a1))+~P2(f3(a1))+~P3(a1)),
% 0.23/0.69 inference(scs_inference,[],[1,2,65,67,3,63,62,8,7,6,5,49,48,39,38,37,24,23,22,61,9])).
% 0.23/0.69 cnf(117,plain,
% 0.23/0.69 (P4(x1171,x1171)),
% 0.23/0.69 inference(rename_variables,[],[2])).
% 0.23/0.69 cnf(119,plain,
% 0.23/0.69 (P2(f3(a1))),
% 0.23/0.69 inference(scs_inference,[],[2,117,76,62,63])).
% 0.23/0.69 cnf(136,plain,
% 0.23/0.69 (P1(f3(a1))),
% 0.23/0.69 inference(scs_inference,[],[2,117,80,82,86,88,90,76,62,63,95,59,58,47,36,21,9])).
% 0.23/0.69 cnf(142,plain,
% 0.23/0.69 (~P14(f11(f3(a1)))),
% 0.23/0.69 inference(scs_inference,[],[2,117,80,82,86,88,90,76,62,63,95,59,58,47,36,21,9,46,35,34])).
% 0.23/0.69 cnf(159,plain,
% 0.23/0.69 (P4(x1591,x1591)),
% 0.23/0.69 inference(rename_variables,[],[2])).
% 0.23/0.69 cnf(160,plain,
% 0.23/0.69 (P4(x1601,x1601)),
% 0.23/0.69 inference(rename_variables,[],[2])).
% 0.23/0.69 cnf(184,plain,
% 0.23/0.69 (P4(f2(a1),f11(f2(a1)))),
% 0.23/0.69 inference(scs_inference,[],[64,2,160,159,78,142,84,119,136,76,80,86,90,82,1,88,58,7,62,63,59,61,6,5,47,36,21,19,46])).
% 0.23/0.69 cnf(188,plain,
% 0.23/0.69 (~P14(f11(f2(a1)))),
% 0.23/0.69 inference(scs_inference,[],[64,2,160,159,78,142,84,119,136,76,80,86,90,82,1,88,58,7,62,63,59,61,6,5,47,36,21,19,46,35,34])).
% 0.23/0.69 cnf(194,plain,
% 0.23/0.69 ($false),
% 0.23/0.69 inference(scs_inference,[],[2,188,184,78,80,86,119,90,88,58,62]),
% 0.23/0.69 ['proof']).
% 0.23/0.69 % SZS output end Proof
% 0.23/0.69 % Total time :0.020000s
%------------------------------------------------------------------------------