TSTP Solution File: PLA023-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : PLA023-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n019.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 10:53:38 EDT 2023

% Result   : Unsatisfiable 5.15s 2.40s
% Output   : CNFRefutation 5.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   39
% Syntax   : Number of formulae    :   98 (  28 unt;  16 typ;   0 def)
%            Number of atoms       :  235 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  339 ( 186   ~; 153   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (   9   >;   6   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :  113 (; 113   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ holds > differ > putdown > on > do > and > #nlpp > pickup > holding > clear > table > s0 > empty > d > c > b > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(s0,type,
    s0: $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_175,axiom,
    holds(clear(a),s0),
    file(unknown,unknown) ).

tff(f_177,axiom,
    holds(clear(c),s0),
    file(unknown,unknown) ).

tff(f_178,axiom,
    holds(empty,s0),
    file(unknown,unknown) ).

tff(f_173,axiom,
    holds(on(c,d),s0),
    file(unknown,unknown) ).

tff(f_161,axiom,
    differ(a,c),
    file(unknown,unknown) ).

tff(f_92,axiom,
    ! [X,Z,State] :
      ( holds(clear(X),do(pickup(Z),State))
      | ~ holds(clear(X),State)
      | ~ differ(X,Z) ),
    file(unknown,unknown) ).

tff(f_76,axiom,
    ! [Y,X,State] :
      ( holds(clear(Y),do(pickup(X),State))
      | ~ holds(on(X,Y),State)
      | ~ holds(clear(X),State)
      | ~ holds(empty,State) ),
    file(unknown,unknown) ).

tff(f_168,axiom,
    differ(c,table),
    file(unknown,unknown) ).

tff(f_65,axiom,
    ! [X,State] :
      ( holds(holding(X),do(pickup(X),State))
      | ~ holds(empty,State)
      | ~ holds(clear(X),State)
      | ~ differ(X,table) ),
    file(unknown,unknown) ).

tff(f_163,axiom,
    differ(a,table),
    file(unknown,unknown) ).

tff(f_169,axiom,
    differ(d,table),
    file(unknown,unknown) ).

tff(f_181,axiom,
    ! [State] : holds(clear(table),State),
    file(unknown,unknown) ).

tff(f_100,axiom,
    ! [X,Y,State] :
      ( holds(empty,do(putdown(X,Y),State))
      | ~ holds(holding(X),State)
      | ~ holds(clear(Y),State) ),
    file(unknown,unknown) ).

tff(f_129,axiom,
    ! [Z,X,Y,State] :
      ( holds(clear(Z),do(putdown(X,Y),State))
      | ~ holds(clear(Z),State)
      | ~ differ(Z,Y) ),
    file(unknown,unknown) ).

tff(f_116,axiom,
    ! [X,Y,State] :
      ( holds(clear(X),do(putdown(X,Y),State))
      | ~ holds(holding(X),State)
      | ~ holds(clear(Y),State) ),
    file(unknown,unknown) ).

tff(f_159,axiom,
    ! [X,Y] :
      ( differ(X,Y)
      | ~ differ(Y,X) ),
    file(unknown,unknown) ).

tff(f_162,axiom,
    differ(a,d),
    file(unknown,unknown) ).

tff(f_167,axiom,
    differ(c,d),
    file(unknown,unknown) ).

tff(f_108,axiom,
    ! [X,Y,State] :
      ( holds(on(X,Y),do(putdown(X,Y),State))
      | ~ holds(holding(X),State)
      | ~ holds(clear(Y),State) ),
    file(unknown,unknown) ).

tff(f_84,axiom,
    ! [X,Y,Z,State] :
      ( holds(on(X,Y),do(pickup(Z),State))
      | ~ holds(on(X,Y),State)
      | ~ differ(X,Z) ),
    file(unknown,unknown) ).

tff(f_121,axiom,
    ! [W,Z,X,Y,State] :
      ( holds(on(X,Y),do(putdown(Z,W),State))
      | ~ holds(on(X,Y),State) ),
    file(unknown,unknown) ).

tff(f_54,axiom,
    ! [X,Y,State] :
      ( holds(and(X,Y),State)
      | ~ holds(X,State)
      | ~ holds(Y,State) ),
    file(unknown,unknown) ).

tff(f_186,axiom,
    ! [State] : ~ holds(and(on(d,a),on(a,c)),State),
    file(unknown,unknown) ).

tff(c_52,plain,
    holds(clear(a),s0),
    inference(cnfTransformation,[status(thm)],[f_175]) ).

tff(c_56,plain,
    holds(clear(c),s0),
    inference(cnfTransformation,[status(thm)],[f_177]) ).

tff(c_58,plain,
    holds(empty,s0),
    inference(cnfTransformation,[status(thm)],[f_178]) ).

tff(c_48,plain,
    holds(on(c,d),s0),
    inference(cnfTransformation,[status(thm)],[f_173]) ).

tff(c_26,plain,
    differ(a,c),
    inference(cnfTransformation,[status(thm)],[f_161]) ).

tff(c_10,plain,
    ! [X_13,Z_14,State_15] :
      ( ~ differ(X_13,Z_14)
      | ~ holds(clear(X_13),State_15)
      | holds(clear(X_13),do(pickup(Z_14),State_15)) ),
    inference(cnfTransformation,[status(thm)],[f_92]) ).

tff(c_6,plain,
    ! [State_8,X_7,Y_6] :
      ( ~ holds(empty,State_8)
      | ~ holds(clear(X_7),State_8)
      | ~ holds(on(X_7,Y_6),State_8)
      | holds(clear(Y_6),do(pickup(X_7),State_8)) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_40,plain,
    differ(c,table),
    inference(cnfTransformation,[status(thm)],[f_168]) ).

tff(c_4,plain,
    ! [X_4,State_5] :
      ( ~ differ(X_4,table)
      | ~ holds(clear(X_4),State_5)
      | ~ holds(empty,State_5)
      | holds(holding(X_4),do(pickup(X_4),State_5)) ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_30,plain,
    differ(a,table),
    inference(cnfTransformation,[status(thm)],[f_163]) ).

tff(c_42,plain,
    differ(d,table),
    inference(cnfTransformation,[status(thm)],[f_169]) ).

tff(c_60,plain,
    ! [State_36] : holds(clear(table),State_36),
    inference(cnfTransformation,[status(thm)],[f_181]) ).

tff(c_12,plain,
    ! [Y_17,State_18,X_16] :
      ( ~ holds(clear(Y_17),State_18)
      | ~ holds(holding(X_16),State_18)
      | holds(empty,do(putdown(X_16,Y_17),State_18)) ),
    inference(cnfTransformation,[status(thm)],[f_100]) ).

tff(c_20,plain,
    ! [Z_30,Y_32,State_33,X_31] :
      ( ~ differ(Z_30,Y_32)
      | ~ holds(clear(Z_30),State_33)
      | holds(clear(Z_30),do(putdown(X_31,Y_32),State_33)) ),
    inference(cnfTransformation,[status(thm)],[f_129]) ).

tff(c_16,plain,
    ! [Y_23,State_24,X_22] :
      ( ~ holds(clear(Y_23),State_24)
      | ~ holds(holding(X_22),State_24)
      | holds(clear(X_22),do(putdown(X_22,Y_23),State_24)) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_64,plain,
    ! [Y_39,X_40] :
      ( ~ differ(Y_39,X_40)
      | differ(X_40,Y_39) ),
    inference(cnfTransformation,[status(thm)],[f_159]) ).

tff(c_90,plain,
    differ(c,a),
    inference(resolution,[status(thm)],[c_26,c_64]) ).

tff(c_28,plain,
    differ(a,d),
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_91,plain,
    differ(d,a),
    inference(resolution,[status(thm)],[c_28,c_64]) ).

tff(c_38,plain,
    differ(c,d),
    inference(cnfTransformation,[status(thm)],[f_167]) ).

tff(c_87,plain,
    differ(d,c),
    inference(resolution,[status(thm)],[c_38,c_64]) ).

tff(c_14,plain,
    ! [Y_20,State_21,X_19] :
      ( ~ holds(clear(Y_20),State_21)
      | ~ holds(holding(X_19),State_21)
      | holds(on(X_19,Y_20),do(putdown(X_19,Y_20),State_21)) ),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_8,plain,
    ! [X_9,Z_11,Y_10,State_12] :
      ( ~ differ(X_9,Z_11)
      | ~ holds(on(X_9,Y_10),State_12)
      | holds(on(X_9,Y_10),do(pickup(Z_11),State_12)) ),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_18,plain,
    ! [W_25,State_29,Z_26,Y_28,X_27] :
      ( ~ holds(on(X_27,Y_28),State_29)
      | holds(on(X_27,Y_28),do(putdown(Z_26,W_25),State_29)) ),
    inference(cnfTransformation,[status(thm)],[f_121]) ).

tff(c_172,plain,
    ! [Y_75,State_76,X_77] :
      ( ~ holds(clear(Y_75),State_76)
      | ~ holds(holding(X_77),State_76)
      | holds(on(X_77,Y_75),do(putdown(X_77,Y_75),State_76)) ),
    inference(cnfTransformation,[status(thm)],[f_108]) ).

tff(c_128,plain,
    ! [Y_42,State_43,X_44] :
      ( ~ holds(Y_42,State_43)
      | ~ holds(X_44,State_43)
      | holds(and(X_44,Y_42),State_43) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_62,plain,
    ! [State_37] : ~ holds(and(on(d,a),on(a,c)),State_37),
    inference(cnfTransformation,[status(thm)],[f_186]) ).

tff(c_133,plain,
    ! [State_43] :
      ( ~ holds(on(a,c),State_43)
      | ~ holds(on(d,a),State_43) ),
    inference(resolution,[status(thm)],[c_128,c_62]) ).

tff(c_199,plain,
    ! [State_79] :
      ( ~ holds(on(a,c),do(putdown(d,a),State_79))
      | ~ holds(clear(a),State_79)
      | ~ holds(holding(d),State_79) ),
    inference(resolution,[status(thm)],[c_172,c_133]) ).

tff(c_206,plain,
    ! [State_83] :
      ( ~ holds(clear(a),State_83)
      | ~ holds(holding(d),State_83)
      | ~ holds(on(a,c),State_83) ),
    inference(resolution,[status(thm)],[c_18,c_199]) ).

tff(c_224,plain,
    ! [Z_90,State_91] :
      ( ~ holds(clear(a),do(pickup(Z_90),State_91))
      | ~ holds(holding(d),do(pickup(Z_90),State_91))
      | ~ differ(a,Z_90)
      | ~ holds(on(a,c),State_91) ),
    inference(resolution,[status(thm)],[c_8,c_206]) ).

tff(c_228,plain,
    ! [State_5] :
      ( ~ holds(clear(a),do(pickup(d),State_5))
      | ~ differ(a,d)
      | ~ holds(on(a,c),State_5)
      | ~ differ(d,table)
      | ~ holds(clear(d),State_5)
      | ~ holds(empty,State_5) ),
    inference(resolution,[status(thm)],[c_4,c_224]) ).

tff(c_232,plain,
    ! [State_92] :
      ( ~ holds(clear(a),do(pickup(d),State_92))
      | ~ holds(on(a,c),State_92)
      | ~ holds(clear(d),State_92)
      | ~ holds(empty,State_92) ),
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_28,c_228]) ).

tff(c_240,plain,
    ! [State_15] :
      ( ~ holds(on(a,c),State_15)
      | ~ holds(clear(d),State_15)
      | ~ holds(empty,State_15)
      | ~ differ(a,d)
      | ~ holds(clear(a),State_15) ),
    inference(resolution,[status(thm)],[c_10,c_232]) ).

tff(c_245,plain,
    ! [State_93] :
      ( ~ holds(on(a,c),State_93)
      | ~ holds(clear(d),State_93)
      | ~ holds(empty,State_93)
      | ~ holds(clear(a),State_93) ),
    inference(demodulation,[status(thm),theory(equality)],[c_28,c_240]) ).

tff(c_448,plain,
    ! [State_138] :
      ( ~ holds(clear(d),do(putdown(a,c),State_138))
      | ~ holds(empty,do(putdown(a,c),State_138))
      | ~ holds(clear(a),do(putdown(a,c),State_138))
      | ~ holds(clear(c),State_138)
      | ~ holds(holding(a),State_138) ),
    inference(resolution,[status(thm)],[c_14,c_245]) ).

tff(c_452,plain,
    ! [State_33] :
      ( ~ holds(empty,do(putdown(a,c),State_33))
      | ~ holds(clear(a),do(putdown(a,c),State_33))
      | ~ holds(clear(c),State_33)
      | ~ holds(holding(a),State_33)
      | ~ differ(d,c)
      | ~ holds(clear(d),State_33) ),
    inference(resolution,[status(thm)],[c_20,c_448]) ).

tff(c_456,plain,
    ! [State_139] :
      ( ~ holds(empty,do(putdown(a,c),State_139))
      | ~ holds(clear(a),do(putdown(a,c),State_139))
      | ~ holds(clear(c),State_139)
      | ~ holds(holding(a),State_139)
      | ~ holds(clear(d),State_139) ),
    inference(demodulation,[status(thm),theory(equality)],[c_87,c_452]) ).

tff(c_469,plain,
    ! [State_140] :
      ( ~ holds(empty,do(putdown(a,c),State_140))
      | ~ holds(clear(d),State_140)
      | ~ holds(clear(c),State_140)
      | ~ holds(holding(a),State_140) ),
    inference(resolution,[status(thm)],[c_16,c_456]) ).

tff(c_475,plain,
    ! [State_141] :
      ( ~ holds(clear(d),State_141)
      | ~ holds(clear(c),State_141)
      | ~ holds(holding(a),State_141) ),
    inference(resolution,[status(thm)],[c_12,c_469]) ).

tff(c_479,plain,
    ! [State_5] :
      ( ~ holds(clear(d),do(pickup(a),State_5))
      | ~ holds(clear(c),do(pickup(a),State_5))
      | ~ differ(a,table)
      | ~ holds(clear(a),State_5)
      | ~ holds(empty,State_5) ),
    inference(resolution,[status(thm)],[c_4,c_475]) ).

tff(c_502,plain,
    ! [State_146] :
      ( ~ holds(clear(d),do(pickup(a),State_146))
      | ~ holds(clear(c),do(pickup(a),State_146))
      | ~ holds(clear(a),State_146)
      | ~ holds(empty,State_146) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_479]) ).

tff(c_510,plain,
    ! [State_15] :
      ( ~ holds(clear(c),do(pickup(a),State_15))
      | ~ holds(clear(a),State_15)
      | ~ holds(empty,State_15)
      | ~ differ(d,a)
      | ~ holds(clear(d),State_15) ),
    inference(resolution,[status(thm)],[c_10,c_502]) ).

tff(c_515,plain,
    ! [State_147] :
      ( ~ holds(clear(c),do(pickup(a),State_147))
      | ~ holds(clear(a),State_147)
      | ~ holds(empty,State_147)
      | ~ holds(clear(d),State_147) ),
    inference(demodulation,[status(thm),theory(equality)],[c_91,c_510]) ).

tff(c_523,plain,
    ! [State_15] :
      ( ~ holds(clear(a),State_15)
      | ~ holds(empty,State_15)
      | ~ holds(clear(d),State_15)
      | ~ differ(c,a)
      | ~ holds(clear(c),State_15) ),
    inference(resolution,[status(thm)],[c_10,c_515]) ).

tff(c_528,plain,
    ! [State_148] :
      ( ~ holds(clear(a),State_148)
      | ~ holds(empty,State_148)
      | ~ holds(clear(d),State_148)
      | ~ holds(clear(c),State_148) ),
    inference(demodulation,[status(thm),theory(equality)],[c_90,c_523]) ).

tff(c_894,plain,
    ! [X_233,Y_234,State_235] :
      ( ~ holds(clear(a),do(putdown(X_233,Y_234),State_235))
      | ~ holds(empty,do(putdown(X_233,Y_234),State_235))
      | ~ holds(clear(c),do(putdown(X_233,Y_234),State_235))
      | ~ differ(d,Y_234)
      | ~ holds(clear(d),State_235) ),
    inference(resolution,[status(thm)],[c_20,c_528]) ).

tff(c_961,plain,
    ! [Y_249,State_250] :
      ( ~ holds(clear(a),do(putdown(c,Y_249),State_250))
      | ~ holds(empty,do(putdown(c,Y_249),State_250))
      | ~ differ(d,Y_249)
      | ~ holds(clear(d),State_250)
      | ~ holds(clear(Y_249),State_250)
      | ~ holds(holding(c),State_250) ),
    inference(resolution,[status(thm)],[c_16,c_894]) ).

tff(c_967,plain,
    ! [Y_251,State_252] :
      ( ~ holds(empty,do(putdown(c,Y_251),State_252))
      | ~ differ(d,Y_251)
      | ~ holds(clear(d),State_252)
      | ~ holds(clear(Y_251),State_252)
      | ~ holds(holding(c),State_252)
      | ~ differ(a,Y_251)
      | ~ holds(clear(a),State_252) ),
    inference(resolution,[status(thm)],[c_20,c_961]) ).

tff(c_973,plain,
    ! [Y_253,State_254] :
      ( ~ differ(d,Y_253)
      | ~ holds(clear(d),State_254)
      | ~ differ(a,Y_253)
      | ~ holds(clear(a),State_254)
      | ~ holds(clear(Y_253),State_254)
      | ~ holds(holding(c),State_254) ),
    inference(resolution,[status(thm)],[c_12,c_967]) ).

tff(c_983,plain,
    ! [State_36] :
      ( ~ differ(d,table)
      | ~ holds(clear(d),State_36)
      | ~ differ(a,table)
      | ~ holds(clear(a),State_36)
      | ~ holds(holding(c),State_36) ),
    inference(resolution,[status(thm)],[c_60,c_973]) ).

tff(c_1011,plain,
    ! [State_258] :
      ( ~ holds(clear(d),State_258)
      | ~ holds(clear(a),State_258)
      | ~ holds(holding(c),State_258) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_42,c_983]) ).

tff(c_1015,plain,
    ! [State_5] :
      ( ~ holds(clear(d),do(pickup(c),State_5))
      | ~ holds(clear(a),do(pickup(c),State_5))
      | ~ differ(c,table)
      | ~ holds(clear(c),State_5)
      | ~ holds(empty,State_5) ),
    inference(resolution,[status(thm)],[c_4,c_1011]) ).

tff(c_1019,plain,
    ! [State_259] :
      ( ~ holds(clear(d),do(pickup(c),State_259))
      | ~ holds(clear(a),do(pickup(c),State_259))
      | ~ holds(clear(c),State_259)
      | ~ holds(empty,State_259) ),
    inference(demodulation,[status(thm),theory(equality)],[c_40,c_1015]) ).

tff(c_1061,plain,
    ! [State_262] :
      ( ~ holds(clear(a),do(pickup(c),State_262))
      | ~ holds(empty,State_262)
      | ~ holds(clear(c),State_262)
      | ~ holds(on(c,d),State_262) ),
    inference(resolution,[status(thm)],[c_6,c_1019]) ).

tff(c_1069,plain,
    ! [State_15] :
      ( ~ holds(empty,State_15)
      | ~ holds(clear(c),State_15)
      | ~ holds(on(c,d),State_15)
      | ~ differ(a,c)
      | ~ holds(clear(a),State_15) ),
    inference(resolution,[status(thm)],[c_10,c_1061]) ).

tff(c_1075,plain,
    ! [State_265] :
      ( ~ holds(empty,State_265)
      | ~ holds(clear(c),State_265)
      | ~ holds(on(c,d),State_265)
      | ~ holds(clear(a),State_265) ),
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_1069]) ).

tff(c_1090,plain,
    ( ~ holds(empty,s0)
    | ~ holds(clear(c),s0)
    | ~ holds(clear(a),s0) ),
    inference(resolution,[status(thm)],[c_48,c_1075]) ).

tff(c_1097,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_52,c_56,c_58,c_1090]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15  % Problem  : PLA023-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.16  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.38  % Computer : n019.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit : 300
% 0.15/0.38  % WCLimit  : 300
% 0.15/0.38  % DateTime : Thu Aug  3 18:18:46 EDT 2023
% 0.15/0.38  % CPUTime  : 
% 5.15/2.40  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.55/2.40  
% 5.55/2.40  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.55/2.44  
% 5.55/2.44  Inference rules
% 5.55/2.44  ----------------------
% 5.55/2.44  #Ref     : 0
% 5.55/2.44  #Sup     : 193
% 5.55/2.44  #Fact    : 0
% 5.55/2.44  #Define  : 0
% 5.55/2.44  #Split   : 2
% 5.55/2.44  #Chain   : 0
% 5.55/2.44  #Close   : 0
% 5.55/2.44  
% 5.55/2.44  Ordering : KBO
% 5.55/2.44  
% 5.55/2.44  Simplification rules
% 5.55/2.44  ----------------------
% 5.55/2.44  #Subsume      : 30
% 5.55/2.44  #Demod        : 58
% 5.55/2.44  #Tautology    : 10
% 5.55/2.44  #SimpNegUnit  : 0
% 5.55/2.44  #BackRed      : 0
% 5.55/2.44  
% 5.55/2.44  #Partial instantiations: 0
% 5.55/2.44  #Strategies tried      : 1
% 5.55/2.44  
% 5.55/2.44  Timing (in seconds)
% 5.55/2.44  ----------------------
% 5.55/2.45  Preprocessing        : 0.50
% 5.55/2.45  Parsing              : 0.27
% 5.55/2.45  CNF conversion       : 0.03
% 5.55/2.45  Main loop            : 0.77
% 5.55/2.45  Inferencing          : 0.29
% 5.55/2.45  Reduction            : 0.19
% 5.55/2.45  Demodulation         : 0.15
% 5.55/2.45  BG Simplification    : 0.02
% 5.55/2.45  Subsumption          : 0.22
% 5.55/2.45  Abstraction          : 0.02
% 5.55/2.45  MUC search           : 0.00
% 5.55/2.45  Cooper               : 0.00
% 5.55/2.45  Total                : 1.33
% 5.55/2.45  Index Insertion      : 0.00
% 5.55/2.45  Index Deletion       : 0.00
% 5.55/2.45  Index Matching       : 0.00
% 5.55/2.45  BG Taut test         : 0.00
%------------------------------------------------------------------------------