TSTP Solution File: SWV104+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV104+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n023.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 : Tue Aug 22 11:02:55 EDT 2023

% Result   : Theorem 12.67s 3.89s
% Output   : CNFRefutation 12.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   77
% Syntax   : Number of formulae    :  131 (  48 unt;  62 typ;   0 def)
%            Number of atoms       :  108 (  65 equ)
%            Maximal formula atoms :   12 (   1 avg)
%            Number of connectives :   75 (  36   ~;  22   |;  12   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  160 (  49   >; 111   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-2 aty)
%            Number of functors    :   57 (  57 usr;  12 con; 0-8 aty)
%            Number of variables   :   53 (;  53   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ lt > leq > gt > geq > tptp_update3 > tptp_update2 > tptp_const_array2 > sum > a_select3 > uniform_int_rnd > tptp_msub > tptp_mmul > tptp_madd > tptp_const_array1 > plus > minus > dim > a_select2 > #nlpp > trans > succ > pred > inv > xinit_defuse > use > u_defuse > true > tptp_minus_1 > tptp_float_0_0 > n5 > n4 > n3 > n2 > n1 > n0 > def > #skF_13 > #skF_24 > #skF_17 > #skF_23 > #skF_6 > #skF_19 > #skF_27 > #skF_21 > #skF_25 > #skF_12 > #skF_18 > #skF_3 > #skF_26 > #skF_20 > #skF_11 > #skF_7 > #skF_9 > #skF_15 > #skF_22 > #skF_14 > #skF_2 > #skF_8 > #skF_1 > #skF_5 > #skF_4 > #skF_16 > #skF_10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_13',type,
    '#skF_13': ( $i * $i * $i ) > $i ).

tff('#skF_24',type,
    '#skF_24': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(xinit_defuse,type,
    xinit_defuse: $i ).

tff(true,type,
    true: $o ).

tff('#skF_17',type,
    '#skF_17': ( $i * $i * $i * $i ) > $i ).

tff(tptp_const_array2,type,
    tptp_const_array2: ( $i * $i * $i ) > $i ).

tff('#skF_23',type,
    '#skF_23': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i ) > $i ).

tff(tptp_minus_1,type,
    tptp_minus_1: $i ).

tff('#skF_19',type,
    '#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_27',type,
    '#skF_27': ( $i * $i * $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_25',type,
    '#skF_25': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i * $i ) > $i ).

tff('#skF_18',type,
    '#skF_18': ( $i * $i * $i * $i ) > $i ).

tff(a_select3,type,
    a_select3: ( $i * $i * $i ) > $i ).

tff(tptp_float_0_0,type,
    tptp_float_0_0: $i ).

tff(a_select2,type,
    a_select2: ( $i * $i ) > $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff(trans,type,
    trans: $i > $i ).

tff(tptp_update3,type,
    tptp_update3: ( $i * $i * $i * $i ) > $i ).

tff(n3,type,
    n3: $i ).

tff('#skF_26',type,
    '#skF_26': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(use,type,
    use: $i ).

tff(inv,type,
    inv: $i > $i ).

tff(n1,type,
    n1: $i ).

tff(tptp_madd,type,
    tptp_madd: ( $i * $i ) > $i ).

tff(plus,type,
    plus: ( $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(n0,type,
    n0: $i ).

tff('#skF_11',type,
    '#skF_11': ( $i * $i * $i ) > $i ).

tff(tptp_update2,type,
    tptp_update2: ( $i * $i * $i ) > $i ).

tff(gt,type,
    gt: ( $i * $i ) > $o ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i * $i ) > $i ).

tff(n4,type,
    n4: $i ).

tff(tptp_msub,type,
    tptp_msub: ( $i * $i ) > $i ).

tff('#skF_9',type,
    '#skF_9': ( $i * $i * $i ) > $i ).

tff(tptp_const_array1,type,
    tptp_const_array1: ( $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i ) > $i ).

tff('#skF_22',type,
    '#skF_22': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i ) > $i ).

tff(tptp_mmul,type,
    tptp_mmul: ( $i * $i ) > $i ).

tff(uniform_int_rnd,type,
    uniform_int_rnd: ( $i * $i ) > $i ).

tff(geq,type,
    geq: ( $i * $i ) > $o ).

tff(leq,type,
    leq: ( $i * $i ) > $o ).

tff(lt,type,
    lt: ( $i * $i ) > $o ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff(def,type,
    def: $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i * $i ) > $i ).

tff(u_defuse,type,
    u_defuse: $i ).

tff(n2,type,
    n2: $i ).

tff(n5,type,
    n5: $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i ) > $i ).

tff(succ,type,
    succ: $i > $i ).

tff(pred,type,
    pred: $i > $i ).

tff(sum,type,
    sum: ( $i * $i * $i ) > $i ).

tff('#skF_5',type,
    '#skF_5': ( $i * $i ) > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': ( $i * $i * $i ) > $i ).

tff('#skF_10',type,
    '#skF_10': ( $i * $i * $i ) > $i ).

tff(dim,type,
    dim: ( $i * $i ) > $i ).

tff(minus,type,
    minus: ( $i * $i ) > $i ).

tff(f_74,axiom,
    ! [X] : leq(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).

tff(f_89,axiom,
    ! [X,Y] :
      ( geq(X,Y)
    <=> leq(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_geq) ).

tff(f_453,axiom,
    ! [X,U,VAL] : ( a_select2(tptp_update2(X,U,VAL),U) = VAL ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).

tff(f_460,axiom,
    ! [I,U,X,VAL,VAL2] :
      ( ( ( I != U )
        & ( a_select2(X,U) = VAL ) )
     => ( a_select2(tptp_update2(X,I,VAL2),U) = VAL ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).

tff(f_596,axiom,
    succ(succ(n0)) = n2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).

tff(f_597,axiom,
    succ(succ(succ(n0))) = n3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).

tff(f_595,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).

tff(f_593,axiom,
    succ(succ(succ(succ(n0)))) = n4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).

tff(f_116,axiom,
    ! [X,Y] :
      ( leq(X,Y)
    <=> gt(succ(Y),X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).

tff(f_71,axiom,
    ! [X] : ~ gt(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

tff(f_504,negated_conjecture,
    ~ ( ( ( a_select3(u_defuse,n0,n0) = use )
        & ( a_select3(u_defuse,n1,n0) = use )
        & ( a_select3(u_defuse,n2,n0) = use )
        & ( a_select2(xinit_defuse,n3) = use )
        & ( a_select2(xinit_defuse,n4) = use )
        & ( a_select2(xinit_defuse,n5) = use ) )
     => ( ( a_select3(u_defuse,n0,n0) = use )
        & ( a_select3(u_defuse,n1,n0) = use )
        & ( a_select3(u_defuse,n2,n0) = use )
        & ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) = use )
        & ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) = use )
        & ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) = use ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0016) ).

tff(f_108,axiom,
    ! [X] : gt(succ(X),X),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',gt_succ) ).

tff(f_506,axiom,
    gt(n5,n4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_5_4) ).

tff(f_68,axiom,
    ! [X,Y,Z] :
      ( ( gt(X,Y)
        & gt(Y,Z) )
     => gt(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).

tff(f_594,axiom,
    succ(succ(succ(succ(succ(n0))))) = n5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).

tff(c_8,plain,
    ! [X_7] : leq(X_7,X_7),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_3784,plain,
    ! [X_290,Y_291] :
      ( geq(X_290,Y_291)
      | ~ leq(Y_291,X_290) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_3792,plain,
    ! [X_7] : geq(X_7,X_7),
    inference(resolution,[status(thm)],[c_8,c_3784]) ).

tff(c_498,plain,
    ! [X_168,U_169,VAL_170] : ( a_select2(tptp_update2(X_168,U_169,VAL_170),U_169) = VAL_170 ),
    inference(cnfTransformation,[status(thm)],[f_453]) ).

tff(c_6381,plain,
    ! [X_371,I_372,VAL2_373,U_374] :
      ( ( a_select2(tptp_update2(X_371,I_372,VAL2_373),U_374) = a_select2(X_371,U_374) )
      | ( U_374 = I_372 ) ),
    inference(cnfTransformation,[status(thm)],[f_460]) ).

tff(c_586,plain,
    succ(succ(n0)) = n2,
    inference(cnfTransformation,[status(thm)],[f_596]) ).

tff(c_588,plain,
    succ(succ(succ(n0))) = n3,
    inference(cnfTransformation,[status(thm)],[f_597]) ).

tff(c_589,plain,
    succ(n2) = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_586,c_588]) ).

tff(c_584,plain,
    succ(n0) = n1,
    inference(cnfTransformation,[status(thm)],[f_595]) ).

tff(c_590,plain,
    succ(n1) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_584,c_586]) ).

tff(c_580,plain,
    succ(succ(succ(succ(n0)))) = n4,
    inference(cnfTransformation,[status(thm)],[f_593]) ).

tff(c_592,plain,
    succ(n3) = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_589,c_590,c_584,c_580]) ).

tff(c_1473,plain,
    ! [Y_226,X_227] :
      ( gt(succ(Y_226),X_227)
      | ~ leq(X_227,Y_226) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_6,plain,
    ! [X_6] : ~ gt(X_6,X_6),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_1516,plain,
    ! [Y_228] : ~ leq(succ(Y_228),Y_228),
    inference(resolution,[status(thm)],[c_1473,c_6]) ).

tff(c_1561,plain,
    ~ leq(n4,n3),
    inference(superposition,[status(thm),theory(equality)],[c_592,c_1516]) ).

tff(c_500,plain,
    ! [X_173,I_171,VAL2_175,U_172] :
      ( ( a_select2(tptp_update2(X_173,I_171,VAL2_175),U_172) = a_select2(X_173,U_172) )
      | ( U_172 = I_171 ) ),
    inference(cnfTransformation,[status(thm)],[f_460]) ).

tff(c_3207,plain,
    ! [X_276,I_277,VAL2_278,U_279] :
      ( ( a_select2(tptp_update2(X_276,I_277,VAL2_278),U_279) = a_select2(X_276,U_279) )
      | ( U_279 = I_277 ) ),
    inference(cnfTransformation,[status(thm)],[f_460]) ).

tff(c_524,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_504]) ).

tff(c_522,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_504]) ).

tff(c_520,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_504]) ).

tff(c_512,plain,
    ( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use ) ),
    inference(cnfTransformation,[status(thm)],[f_504]) ).

tff(c_595,plain,
    ( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_524,c_522,c_520,c_512]) ).

tff(c_597,plain,
    ( ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_595]) ).

tff(c_994,plain,
    a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use,
    inference(splitLeft,[status(thm)],[c_597]) ).

tff(c_3217,plain,
    ( ( a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3) != use )
    | ( n5 = n3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3207,c_994]) ).

tff(c_3341,plain,
    a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3) != use,
    inference(splitLeft,[status(thm)],[c_3217]) ).

tff(c_3639,plain,
    ( ( a_select2(tptp_update2(xinit_defuse,n3,use),n3) != use )
    | ( n4 = n3 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_500,c_3341]) ).

tff(c_3641,plain,
    n4 = n3,
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_3639]) ).

tff(c_3642,plain,
    a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n3,use),n3) != use,
    inference(demodulation,[status(thm),theory(equality)],[c_3641,c_3341]) ).

tff(c_3698,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_3642]) ).

tff(c_3699,plain,
    n5 = n3,
    inference(splitRight,[status(thm)],[c_3217]) ).

tff(c_28,plain,
    ! [X_21] : gt(succ(X_21),X_21),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_526,plain,
    gt(n5,n4),
    inference(cnfTransformation,[status(thm)],[f_506]) ).

tff(c_2832,plain,
    ! [X_262,Z_263,Y_264] :
      ( gt(X_262,Z_263)
      | ~ gt(Y_264,Z_263)
      | ~ gt(X_262,Y_264) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_3228,plain,
    ! [X_280] :
      ( gt(X_280,n4)
      | ~ gt(X_280,n5) ),
    inference(resolution,[status(thm)],[c_526,c_2832]) ).

tff(c_3248,plain,
    gt(succ(n5),n4),
    inference(resolution,[status(thm)],[c_28,c_3228]) ).

tff(c_34,plain,
    ! [X_24,Y_25] :
      ( leq(X_24,Y_25)
      | ~ gt(succ(Y_25),X_24) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_3262,plain,
    leq(n4,n5),
    inference(resolution,[status(thm)],[c_3248,c_34]) ).

tff(c_3706,plain,
    leq(n4,n3),
    inference(demodulation,[status(thm),theory(equality)],[c_3699,c_3262]) ).

tff(c_3751,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1561,c_3706]) ).

tff(c_3752,plain,
    a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use,
    inference(splitRight,[status(thm)],[c_597]) ).

tff(c_6391,plain,
    ( ( a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n4) != use )
    | ( n5 = n4 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6381,c_3752]) ).

tff(c_6407,plain,
    n5 = n4,
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_6391]) ).

tff(c_16,plain,
    ! [Y_14,X_13] :
      ( leq(Y_14,X_13)
      | ~ geq(X_13,Y_14) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_582,plain,
    succ(succ(succ(succ(succ(n0))))) = n5,
    inference(cnfTransformation,[status(thm)],[f_594]) ).

tff(c_591,plain,
    succ(succ(n3)) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_589,c_590,c_584,c_582]) ).

tff(c_593,plain,
    succ(n4) = n5,
    inference(demodulation,[status(thm),theory(equality)],[c_592,c_591]) ).

tff(c_4466,plain,
    ! [Y_320,X_321] :
      ( gt(succ(Y_320),X_321)
      | ~ leq(X_321,Y_320) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_4513,plain,
    ! [Y_322] : ~ leq(succ(Y_322),Y_322),
    inference(resolution,[status(thm)],[c_4466,c_6]) ).

tff(c_4542,plain,
    ~ leq(n5,n4),
    inference(superposition,[status(thm),theory(equality)],[c_593,c_4513]) ).

tff(c_4571,plain,
    ~ geq(n4,n5),
    inference(resolution,[status(thm)],[c_16,c_4542]) ).

tff(c_6423,plain,
    ~ geq(n4,n4),
    inference(demodulation,[status(thm),theory(equality)],[c_6407,c_4571]) ).

tff(c_6453,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3792,c_6423]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV104+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.13/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug  3 23:23:37 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 12.67/3.89  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.67/3.90  
% 12.67/3.90  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.67/3.95  
% 12.67/3.95  Inference rules
% 12.67/3.95  ----------------------
% 12.67/3.95  #Ref     : 0
% 12.67/3.95  #Sup     : 1548
% 12.67/3.95  #Fact    : 4
% 12.67/3.95  #Define  : 0
% 12.67/3.95  #Split   : 2
% 12.67/3.95  #Chain   : 0
% 12.67/3.95  #Close   : 0
% 12.67/3.95  
% 12.67/3.95  Ordering : KBO
% 12.67/3.95  
% 12.67/3.95  Simplification rules
% 12.67/3.95  ----------------------
% 12.67/3.95  #Subsume      : 231
% 12.67/3.95  #Demod        : 615
% 12.67/3.95  #Tautology    : 462
% 12.67/3.95  #SimpNegUnit  : 7
% 12.67/3.95  #BackRed      : 136
% 12.67/3.95  
% 12.67/3.95  #Partial instantiations: 0
% 12.67/3.95  #Strategies tried      : 1
% 12.67/3.95  
% 12.67/3.95  Timing (in seconds)
% 12.67/3.95  ----------------------
% 12.67/3.95  Preprocessing        : 0.91
% 12.67/3.95  Parsing              : 0.37
% 12.67/3.95  CNF conversion       : 0.07
% 12.67/3.95  Main loop            : 1.95
% 12.67/3.95  Inferencing          : 0.50
% 12.67/3.95  Reduction            : 0.81
% 12.67/3.95  Demodulation         : 0.57
% 12.67/3.95  BG Simplification    : 0.12
% 12.67/3.95  Subsumption          : 0.41
% 12.67/3.95  Abstraction          : 0.08
% 12.67/3.96  MUC search           : 0.00
% 12.67/3.96  Cooper               : 0.00
% 12.67/3.96  Total                : 2.94
% 12.67/3.96  Index Insertion      : 0.00
% 12.67/3.96  Index Deletion       : 0.00
% 12.67/3.96  Index Matching       : 0.00
% 12.67/3.96  BG Taut test         : 0.00
%------------------------------------------------------------------------------