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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : KRS080+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n003.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 10:08:25 EDT 2024

% Result   : Unsatisfiable 12.28s 12.40s
% Output   : CNFRefutation 12.28s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : KRS080+1 : TPTP v8.2.0. Released v3.1.0.
% 0.10/0.11  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.32  % Computer : n003.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Wed Jun 19 14:31:09 EDT 2024
% 0.16/0.32  % CPUTime    : 
% 0.17/0.54  start to proof:theBenchmark
% 12.28/12.39  %-------------------------------------------
% 12.28/12.39  % File        :CSE---1.7
% 12.28/12.39  % Problem     :theBenchmark
% 12.28/12.39  % Transform   :cnf
% 12.28/12.39  % Format      :tptp:raw
% 12.28/12.39  % Command     :java -jar mcs_scs.jar %d %s
% 12.28/12.39  
% 12.28/12.39  % Result      :Theorem 3.600000s
% 12.28/12.39  % Output      :CNFRefutation 3.600000s
% 12.28/12.39  %-------------------------------------------
% 12.28/12.40  %------------------------------------------------------------------------------
% 12.28/12.40  % File     : KRS080+1 : TPTP v8.2.0. Released v3.1.0.
% 12.28/12.40  % Domain   : Knowledge Representation (Semantic Web)
% 12.28/12.40  % Problem  : DL Test: t3.2
% 12.28/12.40  % Version  : Especial.
% 12.28/12.40  % English  :
% 12.28/12.40  
% 12.28/12.40  % Refs     : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 12.28/12.40  %          : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 12.28/12.40  % Source   : [Bec03]
% 12.28/12.40  % Names    : inconsistent_description-logic-Manifest019 [Bec03]
% 12.28/12.40  
% 12.28/12.40  % Status   : Unsatisfiable
% 12.28/12.40  % Rating   : 0.14 v8.2.0, 0.00 v5.5.0, 0.33 v5.4.0, 0.00 v3.1.0
% 12.28/12.40  % Syntax   : Number of formulae    :   21 (   1 unt;   0 def)
% 12.28/12.40  %            Number of atoms       :   86 (  19 equ)
% 12.28/12.40  %            Maximal formula atoms :   28 (   4 avg)
% 12.28/12.40  %            Number of connectives :   71 (   6   ~;  11   |;  34   &)
% 12.28/12.40  %                                         (   2 <=>;  18  =>;   0  <=;   0 <~>)
% 12.28/12.40  %            Maximal formula depth :   17 (   5 avg)
% 12.28/12.40  %            Maximal term depth    :    1 (   1 avg)
% 12.28/12.40  %            Number of predicates  :   13 (  12 usr;   0 prp; 1-2 aty)
% 12.28/12.40  %            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
% 12.28/12.40  %            Number of variables   :   46 (  39   !;   7   ?)
% 12.28/12.40  % SPC      : FOF_UNS_RFO_SEQ
% 12.28/12.40  
% 12.28/12.40  % Comments : Sean Bechhofer says there are some errors in the encoding of
% 12.28/12.40  %            datatypes, so this problem may not be perfect. At least it's
% 12.28/12.40  %            still representative of the type of reasoning required for OWL.
% 12.28/12.40  %          : There are 301 possible partitions in the unsatisfiable case
% 12.28/12.40  %------------------------------------------------------------------------------
% 12.28/12.40  fof(cUnsatisfiable_substitution_1,axiom,
% 12.28/12.40      ! [A,B] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & cUnsatisfiable(A) )
% 12.28/12.40       => cUnsatisfiable(B) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(cowlNothing_substitution_1,axiom,
% 12.28/12.40      ! [A,B] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & cowlNothing(A) )
% 12.28/12.40       => cowlNothing(B) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(cowlThing_substitution_1,axiom,
% 12.28/12.40      ! [A,B] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & cowlThing(A) )
% 12.28/12.40       => cowlThing(B) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(cp_substitution_1,axiom,
% 12.28/12.40      ! [A,B] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & cp(A) )
% 12.28/12.40       => cp(B) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(cp1_substitution_1,axiom,
% 12.28/12.40      ! [A,B] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & cp1(A) )
% 12.28/12.40       => cp1(B) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(cp2_substitution_1,axiom,
% 12.28/12.40      ! [A,B] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & cp2(A) )
% 12.28/12.40       => cp2(B) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(cp3_substitution_1,axiom,
% 12.28/12.40      ! [A,B] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & cp3(A) )
% 12.28/12.40       => cp3(B) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(cp4_substitution_1,axiom,
% 12.28/12.40      ! [A,B] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & cp4(A) )
% 12.28/12.40       => cp4(B) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(cp5_substitution_1,axiom,
% 12.28/12.40      ! [A,B] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & cp5(A) )
% 12.28/12.40       => cp5(B) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(rr_substitution_1,axiom,
% 12.28/12.40      ! [A,B,C] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & rr(A,C) )
% 12.28/12.40       => rr(B,C) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(rr_substitution_2,axiom,
% 12.28/12.40      ! [A,B,C] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & rr(C,A) )
% 12.28/12.40       => rr(C,B) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(xsd_integer_substitution_1,axiom,
% 12.28/12.40      ! [A,B] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & xsd_integer(A) )
% 12.28/12.40       => xsd_integer(B) ) ).
% 12.28/12.40  
% 12.28/12.40  fof(xsd_string_substitution_1,axiom,
% 12.28/12.40      ! [A,B] :
% 12.28/12.40        ( ( A = B
% 12.28/12.40          & xsd_string(A) )
% 12.28/12.40       => xsd_string(B) ) ).
% 12.28/12.40  
% 12.28/12.40  %----Thing and Nothing
% 12.28/12.40  fof(axiom_0,axiom,
% 12.28/12.40      ! [X] :
% 12.28/12.40        ( cowlThing(X)
% 12.28/12.40        & ~ cowlNothing(X) ) ).
% 12.28/12.40  
% 12.28/12.40  %----String and Integer disjoint
% 12.28/12.40  fof(axiom_1,axiom,
% 12.28/12.40      ! [X] :
% 12.28/12.40        ( xsd_string(X)
% 12.28/12.40      <=> ~ xsd_integer(X) ) ).
% 12.28/12.40  
% 12.28/12.40  %----Equality cUnsatisfiable
% 12.28/12.40  fof(axiom_2,axiom,
% 12.28/12.40      ! [X] :
% 12.28/12.40        ( cUnsatisfiable(X)
% 12.28/12.40      <=> ( ? [Y] :
% 12.28/12.40              ( rr(X,Y)
% 12.28/12.40              & cp(Y)
% 12.28/12.40              & cp1(Y) )
% 12.28/12.40          & ? [Y] :
% 12.28/12.40              ( rr(X,Y)
% 12.28/12.40              & cp1(Y) )
% 12.28/12.40          & ? [Y] :
% 12.28/12.40              ( rr(X,Y)
% 12.28/12.40              & cp4(Y) )
% 12.28/12.40          & ! [Y0,Y1,Y2,Y3] :
% 12.28/12.40              ( ( rr(X,Y0)
% 12.28/12.40                & rr(X,Y1)
% 12.28/12.40                & rr(X,Y2)
% 12.28/12.40                & rr(X,Y3) )
% 12.28/12.40             => ( Y0 = Y1
% 12.28/12.40                | Y0 = Y2
% 12.28/12.40                | Y0 = Y3
% 12.28/12.40                | Y1 = Y2
% 12.28/12.40                | Y1 = Y3
% 12.28/12.40                | Y2 = Y3 ) )
% 12.28/12.40          & ? [Y] :
% 12.28/12.40              ( rr(X,Y)
% 12.28/12.40              & cp2(Y) )
% 12.28/12.40          & ? [Y] :
% 12.28/12.40              ( rr(X,Y)
% 12.28/12.40              & cp3(Y) )
% 12.28/12.40          & ? [Y] :
% 12.28/12.40              ( rr(X,Y)
% 12.28/12.40              & cp(Y)
% 12.28/12.40              & cp3(Y) )
% 12.28/12.40          & ? [Y] :
% 12.28/12.40              ( rr(X,Y)
% 12.28/12.40              & cp2(Y)
% 12.28/12.40              & cp(Y) ) ) ) ).
% 12.28/12.40  
% 12.28/12.40  %----Super cp1
% 12.28/12.40  fof(axiom_3,axiom,
% 12.28/12.40      ! [X] :
% 12.28/12.40        ( cp1(X)
% 12.28/12.40       => ~ ( cp2(X)
% 12.28/12.40            | cp4(X)
% 12.28/12.40            | cp5(X)
% 12.28/12.40            | cp3(X) ) ) ).
% 12.28/12.40  
% 12.28/12.40  %----Super cp2
% 12.28/12.40  fof(axiom_4,axiom,
% 12.28/12.40      ! [X] :
% 12.28/12.40        ( cp2(X)
% 12.28/12.40       => ~ ( cp4(X)
% 12.28/12.40            | cp5(X)
% 12.28/12.40            | cp3(X) ) ) ).
% 12.28/12.40  
% 12.28/12.40  %----Super cp3
% 12.28/12.40  fof(axiom_5,axiom,
% 12.28/12.40      ! [X] :
% 12.28/12.40        ( cp3(X)
% 12.28/12.40       => ~ ( cp4(X)
% 12.28/12.40            | cp5(X) ) ) ).
% 12.28/12.40  
% 12.28/12.40  %----Super cp4
% 12.28/12.40  fof(axiom_6,axiom,
% 12.28/12.40      ! [X] :
% 12.28/12.40        ( cp4(X)
% 12.28/12.40       => ~ cp5(X) ) ).
% 12.28/12.40  
% 12.28/12.40  %----i2003_11_14_17_19_21224
% 12.28/12.40  fof(axiom_7,axiom,
% 12.28/12.40      cUnsatisfiable(i2003_11_14_17_19_21224) ).
% 12.28/12.40  
% 12.28/12.40  %------------------------------------------------------------------------------
% 12.28/12.40  %-------------------------------------------
% 12.28/12.40  % Proof found
% 12.28/12.40  % SZS status Theorem for theBenchmark
% 12.28/12.40  % SZS output start Proof
% 12.28/12.40  %ClaNum:68(EqnAxiom:26)
% 12.28/12.40  %VarNum:357(SingletonVarNum:115)
% 12.28/12.40  %MaxLitNum:19
% 12.28/12.40  %MaxfuncDepth:1
% 12.28/12.40  %SharedTerms:2
% 12.28/12.40  [27]P1(a1)
% 12.28/12.40  [28]~P2(x281)
% 12.28/12.40  [29]P11(x291)+P3(x291)
% 12.28/12.40  [30]~P6(x301)+~P4(x301)
% 12.28/12.40  [31]~P7(x311)+~P4(x311)
% 12.28/12.40  [32]~P8(x321)+~P4(x321)
% 12.28/12.40  [33]~P9(x331)+~P4(x331)
% 12.28/12.40  [34]~P7(x341)+~P6(x341)
% 12.28/12.40  [35]~P8(x351)+~P6(x351)
% 12.28/12.40  [36]~P9(x361)+~P6(x361)
% 12.28/12.40  [37]~P8(x371)+~P7(x371)
% 12.28/12.40  [38]~P9(x381)+~P7(x381)
% 12.28/12.40  [39]~P9(x391)+~P8(x391)
% 12.28/12.40  [40]~P11(x401)+~P3(x401)
% 12.28/12.40  [41]~P1(x411)+P5(f2(x411))
% 12.28/12.40  [42]~P1(x421)+P5(f5(x421))
% 12.28/12.40  [43]~P1(x431)+P5(f10(x431))
% 12.28/12.40  [44]~P1(x441)+P4(f2(x441))
% 12.28/12.40  [45]~P1(x451)+P4(f6(x451))
% 12.28/12.40  [46]~P1(x461)+P6(f7(x461))
% 12.28/12.40  [47]~P1(x471)+P6(f10(x471))
% 12.28/12.40  [48]~P1(x481)+P7(f9(x481))
% 12.28/12.40  [49]~P1(x491)+P7(f5(x491))
% 12.28/12.40  [50]~P1(x501)+P8(f8(x501))
% 12.28/12.40  [51]~P1(x511)+P10(x511,f2(x511))
% 12.28/12.40  [52]~P1(x521)+P10(x521,f6(x521))
% 12.28/12.40  [53]~P1(x531)+P10(x531,f8(x531))
% 12.28/12.40  [54]~P1(x541)+P10(x541,f7(x541))
% 12.28/12.40  [55]~P1(x551)+P10(x551,f9(x551))
% 12.28/12.40  [56]~P1(x561)+P10(x561,f5(x561))
% 12.28/12.40  [57]~P1(x571)+P10(x571,f10(x571))
% 12.28/12.40  [58]E(x583,x581)+E(x584,x581)+E(x584,x583)+~P10(x585,x582)+~P10(x585,x581)+~P10(x585,x583)+~P10(x585,x584)+E(x581,x582)+E(x583,x582)+E(x584,x582)+~P1(x585)
% 12.28/12.40  [59]~P7(x593)+~P10(x591,x594)+~P10(x591,x595)+~P10(x591,x598)+~P10(x591,x596)+~P10(x591,x597)+~P10(x591,x593)+~P10(x591,x592)+~P6(x592)+~P4(x594)+P1(x591)+~P5(x592)+~P5(x593)+~P5(x594)+~P4(x595)+~P6(x596)+~P7(x597)+~P8(x598)+~E(f11(x591),f12(x591))
% 12.28/12.40  [60]~P7(x603)+~P10(x601,x604)+~P10(x601,x605)+~P10(x601,x608)+~P10(x601,x606)+~P10(x601,x607)+~P10(x601,x603)+~P10(x601,x602)+~P6(x602)+~P4(x604)+P1(x601)+~P5(x602)+~P5(x603)+~P5(x604)+~P4(x605)+~P6(x606)+~P7(x607)+~P8(x608)+~E(f3(x601),f12(x601))
% 12.28/12.40  [61]~P7(x613)+~P10(x611,x614)+~P10(x611,x615)+~P10(x611,x618)+~P10(x611,x616)+~P10(x611,x617)+~P10(x611,x613)+~P10(x611,x612)+~P6(x612)+~P4(x614)+P1(x611)+~P5(x612)+~P5(x613)+~P5(x614)+~P4(x615)+~P6(x616)+~P7(x617)+~P8(x618)+~E(f3(x611),f11(x611))
% 12.28/12.40  [62]~P7(x623)+~P10(x621,x624)+~P10(x621,x625)+~P10(x621,x628)+~P10(x621,x626)+~P10(x621,x627)+~P10(x621,x623)+~P10(x621,x622)+~P6(x622)+~P4(x624)+P1(x621)+~P5(x622)+~P5(x623)+~P5(x624)+~P4(x625)+~P6(x626)+~P7(x627)+~P8(x628)+~E(f4(x621),f12(x621))
% 12.28/12.40  [63]~P7(x633)+~P10(x631,x634)+~P10(x631,x635)+~P10(x631,x638)+~P10(x631,x636)+~P10(x631,x637)+~P10(x631,x633)+~P10(x631,x632)+~P6(x632)+~P4(x634)+P1(x631)+~P5(x632)+~P5(x633)+~P5(x634)+~P4(x635)+~P6(x636)+~P7(x637)+~P8(x638)+~E(f4(x631),f11(x631))
% 12.28/12.40  [64]~P7(x643)+~P10(x641,x644)+~P10(x641,x645)+~P10(x641,x648)+~P10(x641,x646)+~P10(x641,x647)+~P10(x641,x643)+~P10(x641,x642)+~P6(x642)+~P4(x644)+P1(x641)+~P5(x642)+~P5(x643)+~P5(x644)+~P4(x645)+~P6(x646)+~P7(x647)+~P8(x648)+~E(f4(x641),f3(x641))
% 12.28/12.40  [65]~P7(x653)+~P10(x651,x654)+~P10(x651,x655)+~P10(x651,x658)+~P10(x651,x656)+~P10(x651,x657)+~P10(x651,x653)+~P10(x651,x652)+~P6(x652)+~P4(x654)+P1(x651)+~P5(x652)+~P5(x653)+~P5(x654)+~P4(x655)+~P6(x656)+~P7(x657)+~P8(x658)+P10(x651,f12(x651))
% 12.28/12.40  [66]~P7(x663)+~P10(x661,x664)+~P10(x661,x665)+~P10(x661,x668)+~P10(x661,x666)+~P10(x661,x667)+~P10(x661,x663)+~P10(x661,x662)+~P6(x662)+~P4(x664)+P1(x661)+~P5(x662)+~P5(x663)+~P5(x664)+~P4(x665)+~P6(x666)+~P7(x667)+~P8(x668)+P10(x661,f11(x661))
% 12.28/12.40  [67]~P7(x673)+~P10(x671,x674)+~P10(x671,x675)+~P10(x671,x678)+~P10(x671,x676)+~P10(x671,x677)+~P10(x671,x673)+~P10(x671,x672)+~P6(x672)+~P4(x674)+P1(x671)+~P5(x672)+~P5(x673)+~P5(x674)+~P4(x675)+~P6(x676)+~P7(x677)+~P8(x678)+P10(x671,f3(x671))
% 12.28/12.40  [68]~P7(x683)+~P10(x681,x684)+~P10(x681,x685)+~P10(x681,x688)+~P10(x681,x686)+~P10(x681,x687)+~P10(x681,x683)+~P10(x681,x682)+~P6(x682)+~P4(x684)+P1(x681)+~P5(x682)+~P5(x683)+~P5(x684)+~P4(x685)+~P6(x686)+~P7(x687)+~P8(x688)+P10(x681,f4(x681))
% 12.28/12.40  %EqnAxiom
% 12.28/12.40  [1]E(x11,x11)
% 12.28/12.40  [2]E(x22,x21)+~E(x21,x22)
% 12.28/12.40  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 12.28/12.40  [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 12.28/12.40  [5]~E(x51,x52)+E(f5(x51),f5(x52))
% 12.28/12.40  [6]~E(x61,x62)+E(f10(x61),f10(x62))
% 12.28/12.40  [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 12.28/12.40  [8]~E(x81,x82)+E(f6(x81),f6(x82))
% 12.28/12.40  [9]~E(x91,x92)+E(f7(x91),f7(x92))
% 12.28/12.40  [10]~E(x101,x102)+E(f3(x101),f3(x102))
% 12.28/12.40  [11]~E(x111,x112)+E(f9(x111),f9(x112))
% 12.28/12.40  [12]~E(x121,x122)+E(f11(x121),f11(x122))
% 12.28/12.40  [13]~E(x131,x132)+E(f8(x131),f8(x132))
% 12.28/12.40  [14]~E(x141,x142)+E(f12(x141),f12(x142))
% 12.28/12.40  [15]~P1(x151)+P1(x152)+~E(x151,x152)
% 12.28/12.40  [16]~P2(x161)+P2(x162)+~E(x161,x162)
% 12.28/12.40  [17]~P3(x171)+P3(x172)+~E(x171,x172)
% 12.28/12.41  [18]~P11(x181)+P11(x182)+~E(x181,x182)
% 12.28/12.41  [19]~P4(x191)+P4(x192)+~E(x191,x192)
% 12.28/12.41  [20]~P6(x201)+P6(x202)+~E(x201,x202)
% 12.28/12.41  [21]P10(x212,x213)+~E(x211,x212)+~P10(x211,x213)
% 12.28/12.41  [22]P10(x223,x222)+~E(x221,x222)+~P10(x223,x221)
% 12.28/12.41  [23]~P7(x231)+P7(x232)+~E(x231,x232)
% 12.28/12.41  [24]~P5(x241)+P5(x242)+~E(x241,x242)
% 12.28/12.41  [25]~P8(x251)+P8(x252)+~E(x251,x252)
% 12.28/12.41  [26]~P9(x261)+P9(x262)+~E(x261,x262)
% 12.28/12.41  
% 12.28/12.41  %-------------------------------------------
% 12.28/12.41  cnf(88,plain,
% 12.28/12.41     (~E(a1,x881)+P10(x881,f2(x881))),
% 12.28/12.41     inference(scs_inference,[],[27,51,15])).
% 12.28/12.41  cnf(89,plain,
% 12.28/12.41     (P10(a1,f2(a1))),
% 12.28/12.41     inference(equality_inference,[],[88])).
% 12.28/12.41  cnf(100,plain,
% 12.28/12.41     (~E(a1,x1001)+P10(x1001,f8(x1001))),
% 12.28/12.41     inference(scs_inference,[],[27,53,15])).
% 12.28/12.41  cnf(101,plain,
% 12.28/12.41     (P10(a1,f8(a1))),
% 12.28/12.41     inference(equality_inference,[],[100])).
% 12.28/12.41  cnf(106,plain,
% 12.28/12.41     (~E(a1,x1061)+P10(x1061,f7(x1061))),
% 12.28/12.41     inference(scs_inference,[],[27,54,15])).
% 12.28/12.41  cnf(107,plain,
% 12.28/12.41     (P10(a1,f7(a1))),
% 12.28/12.41     inference(equality_inference,[],[106])).
% 12.28/12.41  cnf(118,plain,
% 12.28/12.41     (~E(a1,x1181)+P10(x1181,f5(x1181))),
% 12.28/12.41     inference(scs_inference,[],[27,56,15])).
% 12.28/12.41  cnf(119,plain,
% 12.28/12.41     (P10(a1,f5(a1))),
% 12.28/12.41     inference(equality_inference,[],[118])).
% 12.28/12.41  cnf(163,plain,
% 12.28/12.41     (~P4(x1631)+~E(x1632,x1631)+~P6(x1632)),
% 12.28/12.41     inference(scs_inference,[],[30,20])).
% 12.28/12.41  cnf(167,plain,
% 12.28/12.41     (~P4(f5(a1))),
% 12.28/12.41     inference(scs_inference,[],[27,31,49])).
% 12.28/12.41  cnf(172,plain,
% 12.28/12.41     (~P4(f8(a1))),
% 12.28/12.41     inference(scs_inference,[],[27,32,50])).
% 12.28/12.41  cnf(186,plain,
% 12.28/12.41     (~E(x1861,x1862)+~P7(x1862)+~P6(x1861)),
% 12.28/12.41     inference(scs_inference,[],[34,20])).
% 12.28/12.41  cnf(194,plain,
% 12.28/12.41     (~E(x1941,x1942)+~P8(x1942)+~P6(x1941)),
% 12.28/12.41     inference(scs_inference,[],[35,20])).
% 12.28/12.41  cnf(202,plain,
% 12.28/12.41     (~P8(f5(a1))),
% 12.28/12.41     inference(scs_inference,[],[27,37,49])).
% 12.28/12.41  cnf(228,plain,
% 12.28/12.41     (~E(a1,x2281)+P4(f2(x2281))),
% 12.28/12.41     inference(scs_inference,[],[27,44,15])).
% 12.28/12.41  cnf(229,plain,
% 12.28/12.41     (P4(f2(a1))),
% 12.28/12.41     inference(equality_inference,[],[228])).
% 12.28/12.41  cnf(233,plain,
% 12.28/12.41     (~E(f2(a1),f5(a1))),
% 12.28/12.41     inference(scs_inference,[],[27,167,44,19])).
% 12.28/12.41  cnf(234,plain,
% 12.28/12.41     (~E(f2(a1),f8(a1))),
% 12.28/12.41     inference(scs_inference,[],[27,172,44,19])).
% 12.28/12.41  cnf(242,plain,
% 12.28/12.41     (~E(a1,x2421)+P6(f7(x2421))),
% 12.28/12.41     inference(scs_inference,[],[27,46,15])).
% 12.28/12.41  cnf(243,plain,
% 12.28/12.41     (P6(f7(a1))),
% 12.28/12.41     inference(equality_inference,[],[242])).
% 12.28/12.41  cnf(244,plain,
% 12.28/12.41     (~E(f7(a1),f2(a1))),
% 12.28/12.41     inference(scs_inference,[],[229,243,163])).
% 12.28/12.41  cnf(498,plain,
% 12.28/12.41     (E(f7(a1),f5(a1))+E(f8(a1),f5(a1))+E(f7(a1),f8(a1))),
% 12.28/12.41     inference(scs_inference,[],[101,119,107,89,244,233,234,27,58])).
% 12.28/12.41  cnf(1117,plain,
% 12.28/12.41     (E(f7(a1),f8(a1))+~P7(f5(a1))+E(f8(a1),f5(a1))),
% 12.28/12.41     inference(scs_inference,[],[243,498,186])).
% 12.28/12.41  cnf(1133,plain,
% 12.28/12.41     (~P8(f8(a1))+E(f8(a1),f5(a1))+~P7(f5(a1))),
% 12.28/12.41     inference(scs_inference,[],[243,1117,194])).
% 12.28/12.41  cnf(1149,plain,
% 12.28/12.41     (~P8(f8(a1))+~P7(f5(a1))),
% 12.28/12.41     inference(scs_inference,[],[202,1133,25])).
% 12.28/12.41  cnf(1165,plain,
% 12.28/12.41     (~P7(f5(a1))),
% 12.28/12.41     inference(scs_inference,[],[27,1149,50])).
% 12.28/12.41  cnf(1166,plain,
% 12.28/12.41     ($false),
% 12.28/12.41     inference(scs_inference,[],[1165,27,49]),
% 12.28/12.41     ['proof']).
% 12.28/12.41  % SZS output end Proof
% 12.28/12.41  % Total time :3.600000s
%------------------------------------------------------------------------------