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CSE---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : KRS114+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n005.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 10:08:33 EDT 2024

% Result   : Unsatisfiable 0.55s 0.81s
% Output   : CNFRefutation 0.55s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : KRS114+1 : TPTP v8.2.0. Released v3.1.0.
% 0.12/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34  % Computer : n005.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Wed Jun 19 12:33:54 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.52/0.57  start to proof:theBenchmark
% 0.55/0.79  %-------------------------------------------
% 0.55/0.79  % File        :CSE---1.7
% 0.55/0.79  % Problem     :theBenchmark
% 0.55/0.79  % Transform   :cnf
% 0.55/0.79  % Format      :tptp:raw
% 0.55/0.79  % Command     :java -jar mcs_scs.jar %d %s
% 0.55/0.79  
% 0.55/0.79  % Result      :Theorem 0.180000s
% 0.55/0.79  % Output      :CNFRefutation 0.180000s
% 0.55/0.79  %-------------------------------------------
% 0.55/0.80  %------------------------------------------------------------------------------
% 0.55/0.80  % File     : KRS114+1 : TPTP v8.2.0. Released v3.1.0.
% 0.55/0.80  % Domain   : Knowledge Representation (Semantic Web)
% 0.55/0.80  % Problem  : DL Test: t12.1
% 0.55/0.80  % Version  : Especial.
% 0.55/0.80  % English  :
% 0.55/0.80  
% 0.55/0.80  % Refs     : [Bec03] Bechhofer (2003), Email to G. Sutcliffe
% 0.55/0.80  %          : [TR+04] Tsarkov et al. (2004), Using Vampire to Reason with OW
% 0.55/0.80  % Source   : [Bec03]
% 0.55/0.80  % Names    : inconsistent_description-logic-Manifest615 [Bec03]
% 0.55/0.80  
% 0.55/0.80  % Status   : Unsatisfiable
% 0.55/0.80  % Rating   : 0.00 v3.1.0
% 0.55/0.80  % Syntax   : Number of formulae    :   34 (   1 unt;   0 def)
% 0.55/0.80  %            Number of atoms       :   98 (  23 equ)
% 0.55/0.80  %            Maximal formula atoms :    6 (   2 avg)
% 0.55/0.80  %            Number of connectives :   68 (   4   ~;   0   |;  30   &)
% 0.55/0.80  %                                         (  10 <=>;  24  =>;   0  <=;   0 <~>)
% 0.55/0.80  %            Maximal formula depth :    8 (   5 avg)
% 0.55/0.80  %            Maximal term depth    :    1 (   1 avg)
% 0.55/0.80  %            Number of predicates  :   18 (  17 usr;   0 prp; 1-2 aty)
% 0.55/0.80  %            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
% 0.55/0.80  %            Number of variables   :   76 (  69   !;   7   ?)
% 0.55/0.80  % SPC      : FOF_UNS_RFO_SEQ
% 0.55/0.80  
% 0.55/0.80  % Comments : Sean Bechhofer says there are some errors in the encoding of
% 0.55/0.80  %            datatypes, so this problem may not be perfect. At least it's
% 0.55/0.80  %            still representative of the type of reasoning required for OWL.
% 0.55/0.80  %------------------------------------------------------------------------------
% 0.55/0.80  fof(cUnsatisfiable_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & cUnsatisfiable(A) )
% 0.55/0.80       => cUnsatisfiable(B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(ca_Ax3_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & ca_Ax3(A) )
% 0.55/0.80       => ca_Ax3(B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(ca_Ax4_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & ca_Ax4(A) )
% 0.55/0.80       => ca_Ax4(B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(ca_Vx5_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & ca_Vx5(A) )
% 0.55/0.80       => ca_Vx5(B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(cowlNothing_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & cowlNothing(A) )
% 0.55/0.80       => cowlNothing(B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(cowlThing_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & cowlThing(A) )
% 0.55/0.80       => cowlThing(B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(cp_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & cp(A) )
% 0.55/0.80       => cp(B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(cpxcomp_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & cpxcomp(A) )
% 0.55/0.80       => cpxcomp(B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(cq_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & cq(A) )
% 0.55/0.80       => cq(B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(cqxcomp_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & cqxcomp(A) )
% 0.55/0.80       => cqxcomp(B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(ra_Px1_substitution_1,axiom,
% 0.55/0.80      ! [A,B,C] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & ra_Px1(A,C) )
% 0.55/0.80       => ra_Px1(B,C) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(ra_Px1_substitution_2,axiom,
% 0.55/0.80      ! [A,B,C] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & ra_Px1(C,A) )
% 0.55/0.80       => ra_Px1(C,B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(ra_Px2_substitution_1,axiom,
% 0.55/0.80      ! [A,B,C] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & ra_Px2(A,C) )
% 0.55/0.80       => ra_Px2(B,C) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(ra_Px2_substitution_2,axiom,
% 0.55/0.80      ! [A,B,C] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & ra_Px2(C,A) )
% 0.55/0.80       => ra_Px2(C,B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(rinvR_substitution_1,axiom,
% 0.55/0.80      ! [A,B,C] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & rinvR(A,C) )
% 0.55/0.80       => rinvR(B,C) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(rinvR_substitution_2,axiom,
% 0.55/0.80      ! [A,B,C] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & rinvR(C,A) )
% 0.55/0.80       => rinvR(C,B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(rr_substitution_1,axiom,
% 0.55/0.80      ! [A,B,C] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & rr(A,C) )
% 0.55/0.80       => rr(B,C) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(rr_substitution_2,axiom,
% 0.55/0.80      ! [A,B,C] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & rr(C,A) )
% 0.55/0.80       => rr(C,B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(rs_substitution_1,axiom,
% 0.55/0.80      ! [A,B,C] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & rs(A,C) )
% 0.55/0.80       => rs(B,C) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(rs_substitution_2,axiom,
% 0.55/0.80      ! [A,B,C] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & rs(C,A) )
% 0.55/0.80       => rs(C,B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(xsd_integer_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & xsd_integer(A) )
% 0.55/0.80       => xsd_integer(B) ) ).
% 0.55/0.80  
% 0.55/0.80  fof(xsd_string_substitution_1,axiom,
% 0.55/0.80      ! [A,B] :
% 0.55/0.80        ( ( A = B
% 0.55/0.80          & xsd_string(A) )
% 0.55/0.80       => xsd_string(B) ) ).
% 0.55/0.80  
% 0.55/0.80  %----Thing and Nothing
% 0.55/0.80  fof(axiom_0,axiom,
% 0.55/0.80      ! [X] :
% 0.55/0.80        ( cowlThing(X)
% 0.55/0.80        & ~ cowlNothing(X) ) ).
% 0.55/0.80  
% 0.55/0.80  %----String and Integer disjoint
% 0.55/0.80  fof(axiom_1,axiom,
% 0.55/0.80      ! [X] :
% 0.55/0.80        ( xsd_string(X)
% 0.55/0.80      <=> ~ xsd_integer(X) ) ).
% 0.55/0.80  
% 0.55/0.80  %----Equality cUnsatisfiable
% 0.55/0.80  fof(axiom_2,axiom,
% 0.55/0.80      ! [X] :
% 0.55/0.80        ( cUnsatisfiable(X)
% 0.55/0.80      <=> ( ? [Y] :
% 0.55/0.80              ( rr(X,Y)
% 0.55/0.80              & ca_Ax4(Y) )
% 0.55/0.80          & ? [Y] :
% 0.55/0.80              ( rs(X,Y)
% 0.55/0.80              & ca_Ax3(Y) ) ) ) ).
% 0.55/0.80  
% 0.55/0.80  %----Equality cp
% 0.55/0.80  fof(axiom_3,axiom,
% 0.55/0.80      ! [X] :
% 0.55/0.80        ( cp(X)
% 0.55/0.80      <=> ~ ? [Y] : ra_Px1(X,Y) ) ).
% 0.55/0.80  
% 0.55/0.80  %----Equality cpxcomp
% 0.55/0.80  fof(axiom_4,axiom,
% 0.55/0.80      ! [X] :
% 0.55/0.81        ( cpxcomp(X)
% 0.55/0.81      <=> ? [Y0] : ra_Px1(X,Y0) ) ).
% 0.55/0.81  
% 0.55/0.81  %----Equality cq
% 0.55/0.81  fof(axiom_5,axiom,
% 0.55/0.81      ! [X] :
% 0.55/0.81        ( cq(X)
% 0.55/0.81      <=> ? [Y0] : ra_Px2(X,Y0) ) ).
% 0.55/0.81  
% 0.55/0.81  %----Equality cqxcomp
% 0.55/0.81  fof(axiom_6,axiom,
% 0.55/0.81      ! [X] :
% 0.55/0.81        ( cqxcomp(X)
% 0.55/0.81      <=> ~ ? [Y] : ra_Px2(X,Y) ) ).
% 0.55/0.81  
% 0.55/0.81  %----Equality ca_Ax3
% 0.55/0.81  fof(axiom_7,axiom,
% 0.55/0.81      ! [X] :
% 0.55/0.81        ( ca_Ax3(X)
% 0.55/0.81      <=> ( cqxcomp(X)
% 0.55/0.81          & cpxcomp(X) ) ) ).
% 0.55/0.81  
% 0.55/0.81  %----Equality ca_Ax4
% 0.55/0.81  fof(axiom_8,axiom,
% 0.55/0.81      ! [X] :
% 0.55/0.81        ( ca_Ax4(X)
% 0.55/0.81      <=> ( ! [Y0,Y1] :
% 0.55/0.81              ( ( rinvR(X,Y0)
% 0.55/0.81                & rinvR(X,Y1) )
% 0.55/0.81             => Y0 = Y1 )
% 0.55/0.81          & ? [Y] :
% 0.55/0.81              ( rinvR(X,Y)
% 0.55/0.81              & ca_Vx5(Y) ) ) ) ).
% 0.55/0.81  
% 0.55/0.81  %----Equality ca_Vx5
% 0.55/0.81  fof(axiom_9,axiom,
% 0.55/0.81      ! [X] :
% 0.55/0.81        ( ca_Vx5(X)
% 0.55/0.81      <=> ! [Y] :
% 0.55/0.81            ( rs(X,Y)
% 0.55/0.81           => cp(Y) ) ) ).
% 0.55/0.81  
% 0.55/0.81  %----Inverse: rinvR
% 0.55/0.81  fof(axiom_10,axiom,
% 0.55/0.81      ! [X,Y] :
% 0.55/0.81        ( rinvR(X,Y)
% 0.55/0.81      <=> rr(Y,X) ) ).
% 0.55/0.81  
% 0.55/0.81  %----i2003_11_14_17_21_262
% 0.55/0.81  fof(axiom_11,axiom,
% 0.55/0.81      cUnsatisfiable(i2003_11_14_17_21_262) ).
% 0.55/0.81  
% 0.55/0.81  %------------------------------------------------------------------------------
% 0.55/0.81  %-------------------------------------------
% 0.55/0.81  % Proof found
% 0.55/0.81  % SZS status Theorem for theBenchmark
% 0.55/0.81  % SZS output start Proof
% 0.55/0.81  %ClaNum:65(EqnAxiom:34)
% 0.55/0.81  %VarNum:100(SingletonVarNum:44)
% 0.55/0.81  %MaxLitNum:5
% 0.55/0.81  %MaxfuncDepth:1
% 0.55/0.81  %SharedTerms:2
% 0.55/0.81  [35]P1(a1)
% 0.55/0.81  [36]~P2(x361)
% 0.55/0.81  [37]P16(x371)+P6(x371)
% 0.55/0.81  [38]~P3(x381)+P7(x381)
% 0.55/0.81  [39]~P3(x391)+P9(x391)
% 0.55/0.81  [40]~P16(x401)+~P6(x401)
% 0.55/0.81  [41]~P1(x411)+P3(f2(x411))
% 0.55/0.81  [42]~P1(x421)+P4(f3(x421))
% 0.55/0.81  [43]~P4(x431)+P5(f5(x431))
% 0.55/0.81  [45]P5(x451)+~P8(f4(x451))
% 0.55/0.81  [46]P5(x461)+P11(x461,f4(x461))
% 0.55/0.81  [47]P8(x471)+P12(x471,f6(x471))
% 0.55/0.81  [48]P9(x481)+P13(x481,f7(x481))
% 0.55/0.81  [51]~P7(x511)+P12(x511,f8(x511))
% 0.55/0.81  [52]~P10(x521)+P13(x521,f9(x521))
% 0.55/0.81  [53]~P4(x531)+P14(x531,f5(x531))
% 0.55/0.81  [54]~P1(x541)+P15(x541,f3(x541))
% 0.55/0.81  [55]~P1(x551)+P11(x551,f2(x551))
% 0.55/0.81  [49]P7(x491)+~P12(x491,x492)
% 0.55/0.81  [50]P10(x501)+~P13(x501,x502)
% 0.55/0.81  [56]~P8(x561)+~P12(x561,x562)
% 0.55/0.81  [57]~P9(x571)+~P13(x571,x572)
% 0.55/0.81  [59]~P15(x592,x591)+P14(x591,x592)
% 0.55/0.81  [60]~P14(x602,x601)+P15(x601,x602)
% 0.55/0.81  [44]~P7(x441)+~P9(x441)+P3(x441)
% 0.55/0.81  [58]~P11(x582,x581)+P8(x581)+~P5(x582)
% 0.55/0.81  [61]~P14(x611,x612)+P4(x611)+~P5(x612)+~E(f10(x611),f11(x611))
% 0.55/0.81  [63]~P14(x631,x632)+P4(x631)+~P5(x632)+P14(x631,f11(x631))
% 0.55/0.81  [64]~P14(x641,x642)+P4(x641)+~P5(x642)+P14(x641,f10(x641))
% 0.55/0.81  [62]~P14(x623,x622)+~P14(x623,x621)+E(x621,x622)+~P4(x623)
% 0.55/0.81  [65]~P15(x651,x653)+~P11(x651,x652)+P1(x651)+~P3(x652)+~P4(x653)
% 0.55/0.81  %EqnAxiom
% 0.55/0.81  [1]E(x11,x11)
% 0.55/0.81  [2]E(x22,x21)+~E(x21,x22)
% 0.55/0.81  [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.55/0.81  [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.55/0.81  [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.55/0.81  [6]~E(x61,x62)+E(f5(x61),f5(x62))
% 0.55/0.81  [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.55/0.81  [8]~E(x81,x82)+E(f10(x81),f10(x82))
% 0.55/0.81  [9]~E(x91,x92)+E(f6(x91),f6(x92))
% 0.55/0.81  [10]~E(x101,x102)+E(f7(x101),f7(x102))
% 0.55/0.81  [11]~E(x111,x112)+E(f8(x111),f8(x112))
% 0.55/0.81  [12]~E(x121,x122)+E(f9(x121),f9(x122))
% 0.55/0.81  [13]~E(x131,x132)+E(f11(x131),f11(x132))
% 0.55/0.81  [14]~P1(x141)+P1(x142)+~E(x141,x142)
% 0.55/0.81  [15]~P2(x151)+P2(x152)+~E(x151,x152)
% 0.55/0.81  [16]~P6(x161)+P6(x162)+~E(x161,x162)
% 0.55/0.81  [17]~P16(x171)+P16(x172)+~E(x171,x172)
% 0.55/0.81  [18]~P7(x181)+P7(x182)+~E(x181,x182)
% 0.55/0.81  [19]~P3(x191)+P3(x192)+~E(x191,x192)
% 0.55/0.81  [20]~P9(x201)+P9(x202)+~E(x201,x202)
% 0.55/0.81  [21]~P5(x211)+P5(x212)+~E(x211,x212)
% 0.55/0.81  [22]P14(x222,x223)+~E(x221,x222)+~P14(x221,x223)
% 0.55/0.81  [23]P14(x233,x232)+~E(x231,x232)+~P14(x233,x231)
% 0.55/0.81  [24]~P4(x241)+P4(x242)+~E(x241,x242)
% 0.55/0.81  [25]P11(x252,x253)+~E(x251,x252)+~P11(x251,x253)
% 0.55/0.81  [26]P11(x263,x262)+~E(x261,x262)+~P11(x263,x261)
% 0.55/0.81  [27]P12(x272,x273)+~E(x271,x272)+~P12(x271,x273)
% 0.55/0.81  [28]P12(x283,x282)+~E(x281,x282)+~P12(x283,x281)
% 0.55/0.81  [29]P15(x292,x293)+~E(x291,x292)+~P15(x291,x293)
% 0.55/0.81  [30]P15(x303,x302)+~E(x301,x302)+~P15(x303,x301)
% 0.55/0.81  [31]P13(x312,x313)+~E(x311,x312)+~P13(x311,x313)
% 0.55/0.81  [32]P13(x323,x322)+~E(x321,x322)+~P13(x323,x321)
% 0.55/0.81  [33]~P8(x331)+P8(x332)+~E(x331,x332)
% 0.55/0.81  [34]~P10(x341)+P10(x342)+~E(x341,x342)
% 0.55/0.81  
% 0.55/0.81  %-------------------------------------------
% 0.55/0.81  cnf(67,plain,
% 0.55/0.81     (~P3(x671)+P12(x671,f8(x671))),
% 0.55/0.81     inference(scs_inference,[],[38,51])).
% 0.55/0.81  cnf(69,plain,
% 0.55/0.81     (~E(a1,x691)+P3(f2(x691))),
% 0.55/0.81     inference(scs_inference,[],[35,41,14])).
% 0.55/0.81  cnf(70,plain,
% 0.55/0.81     (P3(f2(a1))),
% 0.55/0.81     inference(equality_inference,[],[69])).
% 0.55/0.81  cnf(75,plain,
% 0.55/0.81     (~E(a1,x751)+P4(f3(x751))),
% 0.55/0.81     inference(scs_inference,[],[35,42,14])).
% 0.55/0.81  cnf(76,plain,
% 0.55/0.81     (P4(f3(a1))),
% 0.55/0.81     inference(equality_inference,[],[75])).
% 0.55/0.81  cnf(86,plain,
% 0.55/0.81     (~P12(x861,x862)+P12(x861,f6(x861))),
% 0.55/0.81     inference(scs_inference,[],[56,47])).
% 0.55/0.81  cnf(90,plain,
% 0.55/0.81     (P14(f3(a1),f5(f3(a1)))),
% 0.55/0.81     inference(scs_inference,[],[35,53,42])).
% 0.55/0.81  cnf(95,plain,
% 0.55/0.81     (~E(a1,x951)+P15(x951,f3(x951))),
% 0.55/0.81     inference(scs_inference,[],[35,54,14])).
% 0.55/0.81  cnf(96,plain,
% 0.55/0.81     (P15(a1,f3(a1))),
% 0.55/0.81     inference(equality_inference,[],[95])).
% 0.55/0.81  cnf(101,plain,
% 0.55/0.81     (~E(a1,x1011)+P11(x1011,f2(x1011))),
% 0.55/0.81     inference(scs_inference,[],[35,55,14])).
% 0.55/0.81  cnf(102,plain,
% 0.55/0.81     (P11(a1,f2(a1))),
% 0.55/0.81     inference(equality_inference,[],[101])).
% 0.55/0.81  cnf(107,plain,
% 0.55/0.81     (P14(x1071,a1)+~E(f3(a1),x1071)),
% 0.55/0.81     inference(scs_inference,[],[96,59,22])).
% 0.55/0.81  cnf(108,plain,
% 0.55/0.81     (P14(f3(a1),a1)),
% 0.55/0.81     inference(equality_inference,[],[107])).
% 0.55/0.81  cnf(117,plain,
% 0.55/0.81     (P12(f2(a1),f6(f2(a1)))),
% 0.55/0.81     inference(scs_inference,[],[70,67,86])).
% 0.55/0.81  cnf(175,plain,
% 0.55/0.81     (P8(x1751)+~P11(f5(f3(a1)),x1751)),
% 0.55/0.81     inference(scs_inference,[],[76,43,58])).
% 0.55/0.81  cnf(176,plain,
% 0.55/0.81     (~P11(f5(f3(a1)),f2(a1))),
% 0.55/0.81     inference(scs_inference,[],[117,175,56])).
% 0.55/0.81  cnf(178,plain,
% 0.55/0.81     ($false),
% 0.55/0.81     inference(scs_inference,[],[108,90,102,176,76,25,62]),
% 0.55/0.81     ['proof']).
% 0.55/0.81  % SZS output end Proof
% 0.55/0.81  % Total time :0.180000s
%------------------------------------------------------------------------------