TSTP Solution File: LCL146-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LCL146-1 : TPTP v8.1.2. Released v1.0.0.
% 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 10:47:28 EDT 2023

% Result   : Unsatisfiable 11.43s 4.01s
% Output   : CNFRefutation 11.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   99 (  91 unt;   8 typ;   0 def)
%            Number of atoms       :   91 (  90 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   5   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :  141 (; 141   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ ordered > implies > big_hat > big_V > #nlpp > not > y > x > truth

%Foreground sorts:

%Background operators:

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

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

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

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

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

tff(not,type,
    not: $i > $i ).

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

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

tff(f_81,axiom,
    ! [X,Y] : ( big_hat(X,Y) = not(big_V(not(X),not(Y))) ),
    file(unknown,unknown) ).

tff(f_47,axiom,
    ! [X] : ( implies(truth,X) = X ),
    file(unknown,unknown) ).

tff(f_53,axiom,
    ! [X,Y] : ( implies(implies(not(X),not(Y)),implies(Y,X)) = truth ),
    file(unknown,unknown) ).

tff(f_79,axiom,
    ! [X,Y] : ( big_V(X,Y) = implies(implies(X,Y),Y) ),
    file(unknown,unknown) ).

tff(f_49,axiom,
    ! [X,Y,Z] : ( implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth ),
    file(unknown,unknown) ).

tff(f_51,axiom,
    ! [X,Y] : ( implies(implies(X,Y),Y) = implies(implies(Y,X),X) ),
    file(unknown,unknown) ).

tff(f_96,axiom,
    not(big_hat(x,y)) != big_V(not(x),not(y)),
    file(unknown,unknown) ).

tff(c_12,plain,
    ! [X_11,Y_12] : ( not(big_V(not(X_11),not(Y_12))) = big_hat(X_11,Y_12) ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_2,plain,
    ! [X_1] : ( implies(truth,X_1) = X_1 ),
    inference(cnfTransformation,[status(thm)],[f_47]) ).

tff(c_279,plain,
    ! [X_35,Y_36] : ( implies(implies(not(X_35),not(Y_36)),implies(Y_36,X_35)) = truth ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_329,plain,
    ! [X_37] : ( implies(implies(not(X_37),not(truth)),X_37) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_279]) ).

tff(c_10,plain,
    ! [X_9,Y_10] : ( implies(implies(X_9,Y_10),Y_10) = big_V(X_9,Y_10) ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_337,plain,
    ! [X_37] : ( big_V(implies(not(X_37),not(truth)),X_37) = implies(truth,X_37) ),
    inference(superposition,[status(thm),theory(equality)],[c_329,c_10]) ).

tff(c_359,plain,
    ! [X_37] : ( big_V(implies(not(X_37),not(truth)),X_37) = X_37 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_337]) ).

tff(c_383,plain,
    ! [X_38,Y_39,Z_40] : ( implies(implies(X_38,Y_39),implies(implies(Y_39,Z_40),implies(X_38,Z_40))) = truth ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_488,plain,
    ! [X_1,Z_40] : ( implies(X_1,implies(implies(X_1,Z_40),implies(truth,Z_40))) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_383]) ).

tff(c_508,plain,
    ! [X_41,Z_42] : ( implies(X_41,big_V(X_41,Z_42)) = truth ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_2,c_488]) ).

tff(c_557,plain,
    ! [Z_43] : ( big_V(truth,Z_43) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_508,c_2]) ).

tff(c_6,plain,
    ! [Y_6,X_5] : ( implies(implies(Y_6,X_5),X_5) = implies(implies(X_5,Y_6),Y_6) ),
    inference(cnfTransformation,[status(thm)],[f_51]) ).

tff(c_19,plain,
    ! [Y_6,X_5] : ( big_V(Y_6,X_5) = big_V(X_5,Y_6) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_10,c_6]) ).

tff(c_671,plain,
    ! [Z_46] : ( big_V(Z_46,truth) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_557,c_19]) ).

tff(c_506,plain,
    ! [X_1,Z_40] : ( implies(X_1,big_V(X_1,Z_40)) = truth ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_2,c_488]) ).

tff(c_737,plain,
    ! [Z_47] : ( implies(Z_47,truth) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_671,c_506]) ).

tff(c_4,plain,
    ! [X_2,Y_3,Z_4] : ( implies(implies(X_2,Y_3),implies(implies(Y_3,Z_4),implies(X_2,Z_4))) = truth ),
    inference(cnfTransformation,[status(thm)],[f_49]) ).

tff(c_745,plain,
    ! [Z_4,Z_47] : ( implies(truth,implies(implies(truth,Z_4),implies(Z_47,Z_4))) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_737,c_4]) ).

tff(c_918,plain,
    ! [Z_51,Z_52] : ( implies(Z_51,implies(Z_52,Z_51)) = truth ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_745]) ).

tff(c_941,plain,
    ! [Z_52,Z_51] : ( implies(truth,implies(Z_52,Z_51)) = big_V(Z_51,implies(Z_52,Z_51)) ),
    inference(superposition,[status(thm),theory(equality)],[c_918,c_10]) ).

tff(c_991,plain,
    ! [Z_51,Z_52] : ( big_V(Z_51,implies(Z_52,Z_51)) = implies(Z_52,Z_51) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_941]) ).

tff(c_569,plain,
    ! [Z_43] : ( big_V(Z_43,truth) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_557,c_19]) ).

tff(c_543,plain,
    ! [Y_6,X_5] : ( implies(Y_6,big_V(X_5,Y_6)) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_19,c_508]) ).

tff(c_516,plain,
    ! [X_2,X_41,Z_42] : ( implies(implies(X_2,X_41),implies(truth,implies(X_2,big_V(X_41,Z_42)))) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_508,c_4]) ).

tff(c_3473,plain,
    ! [X_90,X_91,Z_92] : ( implies(implies(X_90,X_91),implies(X_90,big_V(X_91,Z_92))) = truth ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_516]) ).

tff(c_4145,plain,
    ! [Y_101,X_102,Z_103] : ( implies(truth,implies(Y_101,big_V(big_V(X_102,Y_101),Z_103))) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_543,c_3473]) ).

tff(c_287,plain,
    ! [X_35,Y_36] : ( big_V(implies(not(X_35),not(Y_36)),implies(Y_36,X_35)) = implies(truth,implies(Y_36,X_35)) ),
    inference(superposition,[status(thm),theory(equality)],[c_279,c_10]) ).

tff(c_325,plain,
    ! [X_35,Y_36] : ( big_V(implies(not(X_35),not(Y_36)),implies(Y_36,X_35)) = implies(Y_36,X_35) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_287]) ).

tff(c_4156,plain,
    ! [Y_101,X_102,Z_103] : ( big_V(implies(not(implies(Y_101,big_V(big_V(X_102,Y_101),Z_103))),not(truth)),truth) = implies(truth,implies(Y_101,big_V(big_V(X_102,Y_101),Z_103))) ),
    inference(superposition,[status(thm),theory(equality)],[c_4145,c_325]) ).

tff(c_4350,plain,
    ! [Y_104,X_105,Z_106] : ( implies(Y_104,big_V(big_V(X_105,Y_104),Z_106)) = truth ),
    inference(demodulation,[status(thm),theory(equality)],[c_569,c_2,c_4156]) ).

tff(c_4783,plain,
    ! [X_110,Y_111,Z_112] : ( implies(X_110,big_V(big_V(X_110,Y_111),Z_112)) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_19,c_4350]) ).

tff(c_5683,plain,
    ! [Z_119,Z_120,Z_121] : ( implies(Z_119,big_V(implies(Z_120,Z_119),Z_121)) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_991,c_4783]) ).

tff(c_5940,plain,
    ! [X_122] : ( implies(not(truth),X_122) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_359,c_5683]) ).

tff(c_6046,plain,
    ! [X_122] : ( big_V(not(truth),X_122) = implies(truth,X_122) ),
    inference(superposition,[status(thm),theory(equality)],[c_5940,c_10]) ).

tff(c_6110,plain,
    ! [X_122] : ( big_V(not(truth),X_122) = X_122 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_6046]) ).

tff(c_6454,plain,
    ! [X_126] : ( big_V(not(truth),X_126) = X_126 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_6046]) ).

tff(c_525,plain,
    ! [X_41,Z_42] : ( implies(truth,big_V(X_41,Z_42)) = big_V(X_41,big_V(X_41,Z_42)) ),
    inference(superposition,[status(thm),theory(equality)],[c_508,c_10]) ).

tff(c_550,plain,
    ! [X_41,Z_42] : ( big_V(X_41,big_V(X_41,Z_42)) = big_V(X_41,Z_42) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_525]) ).

tff(c_1109,plain,
    ! [X_54,Z_55] : ( big_V(X_54,big_V(X_54,Z_55)) = big_V(X_54,Z_55) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_525]) ).

tff(c_1159,plain,
    ! [Y_6,X_5] : ( big_V(Y_6,big_V(X_5,Y_6)) = big_V(Y_6,X_5) ),
    inference(superposition,[status(thm),theory(equality)],[c_19,c_1109]) ).

tff(c_800,plain,
    ! [Y_48,X_49] : ( implies(Y_48,big_V(X_49,Y_48)) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_19,c_508]) ).

tff(c_820,plain,
    ! [X_49,Y_48] : ( implies(truth,big_V(X_49,Y_48)) = big_V(Y_48,big_V(X_49,Y_48)) ),
    inference(superposition,[status(thm),theory(equality)],[c_800,c_10]) ).

tff(c_1174,plain,
    ! [Y_56,X_57] : ( big_V(Y_56,big_V(X_57,Y_56)) = big_V(X_57,Y_56) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_820]) ).

tff(c_1633,plain,
    ! [Y_65,X_66] : ( big_V(Y_65,big_V(Y_65,X_66)) = big_V(X_66,Y_65) ),
    inference(superposition,[status(thm),theory(equality)],[c_19,c_1174]) ).

tff(c_1690,plain,
    ! [X_5,Y_6] : ( big_V(big_V(X_5,Y_6),Y_6) = big_V(Y_6,big_V(Y_6,X_5)) ),
    inference(superposition,[status(thm),theory(equality)],[c_1159,c_1633]) ).

tff(c_1901,plain,
    ! [X_69,Y_70] : ( big_V(big_V(X_69,Y_70),Y_70) = big_V(Y_70,X_69) ),
    inference(demodulation,[status(thm),theory(equality)],[c_550,c_1690]) ).

tff(c_2011,plain,
    ! [X_5,Y_6] : ( big_V(big_V(X_5,Y_6),X_5) = big_V(X_5,Y_6) ),
    inference(superposition,[status(thm),theory(equality)],[c_19,c_1901]) ).

tff(c_6510,plain,
    ! [X_126] : ( big_V(not(truth),X_126) = big_V(X_126,not(truth)) ),
    inference(superposition,[status(thm),theory(equality)],[c_6454,c_2011]) ).

tff(c_6645,plain,
    ! [X_126] : ( big_V(X_126,not(truth)) = X_126 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6110,c_6510]) ).

tff(c_1054,plain,
    ! [X_53] : ( big_V(implies(not(X_53),not(truth)),X_53) = X_53 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_337]) ).

tff(c_1101,plain,
    ! [X_5] : ( big_V(X_5,implies(not(X_5),not(truth))) = X_5 ),
    inference(superposition,[status(thm),theory(equality)],[c_19,c_1054]) ).

tff(c_529,plain,
    ! [Z_42] : ( big_V(truth,Z_42) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_508,c_2]) ).

tff(c_5834,plain,
    ! [X_37] : ( implies(not(truth),X_37) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_359,c_5683]) ).

tff(c_68,plain,
    ! [X_24,Y_25] : ( implies(implies(X_24,Y_25),Y_25) = big_V(X_24,Y_25) ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_115,plain,
    ! [X_28] : ( implies(X_28,X_28) = big_V(truth,X_28) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_68]) ).

tff(c_121,plain,
    ! [X_28] : ( implies(big_V(truth,X_28),X_28) = big_V(X_28,X_28) ),
    inference(superposition,[status(thm),theory(equality)],[c_115,c_10]) ).

tff(c_553,plain,
    ! [X_28] : ( implies(truth,X_28) = big_V(X_28,X_28) ),
    inference(demodulation,[status(thm),theory(equality)],[c_529,c_121]) ).

tff(c_589,plain,
    ! [X_44] : ( big_V(X_44,X_44) = X_44 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_553]) ).

tff(c_88,plain,
    ! [X_26,Y_27] : ( not(big_V(not(X_26),not(Y_27))) = big_hat(X_26,Y_27) ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_109,plain,
    ! [Y_27,X_26] : ( not(big_V(not(Y_27),not(X_26))) = big_hat(X_26,Y_27) ),
    inference(superposition,[status(thm),theory(equality)],[c_19,c_88]) ).

tff(c_603,plain,
    ! [Y_27] : ( not(not(Y_27)) = big_hat(Y_27,Y_27) ),
    inference(superposition,[status(thm),theory(equality)],[c_589,c_109]) ).

tff(c_357,plain,
    big_V(not(not(truth)),not(truth)) = truth,
    inference(superposition,[status(thm),theory(equality)],[c_10,c_329]) ).

tff(c_1007,plain,
    big_V(not(truth),big_hat(truth,truth)) = truth,
    inference(demodulation,[status(thm),theory(equality)],[c_19,c_603,c_357]) ).

tff(c_71,plain,
    ! [X_24,Y_25] : ( implies(big_V(X_24,Y_25),Y_25) = big_V(implies(X_24,Y_25),Y_25) ),
    inference(superposition,[status(thm),theory(equality)],[c_68,c_10]) ).

tff(c_84,plain,
    ! [X_24,Y_25] : ( implies(big_V(X_24,Y_25),Y_25) = big_V(Y_25,implies(X_24,Y_25)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_19,c_71]) ).

tff(c_2519,plain,
    ! [X_77,Y_78] : ( implies(big_V(X_77,Y_78),Y_78) = implies(X_77,Y_78) ),
    inference(demodulation,[status(thm),theory(equality)],[c_991,c_84]) ).

tff(c_2589,plain,
    implies(not(truth),big_hat(truth,truth)) = implies(truth,big_hat(truth,truth)),
    inference(superposition,[status(thm),theory(equality)],[c_1007,c_2519]) ).

tff(c_2627,plain,
    implies(not(truth),big_hat(truth,truth)) = big_hat(truth,truth),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_2589]) ).

tff(c_5939,plain,
    big_hat(truth,truth) = truth,
    inference(demodulation,[status(thm),theory(equality)],[c_5834,c_2627]) ).

tff(c_6673,plain,
    ! [X_127] : ( big_V(X_127,not(truth)) = X_127 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6110,c_6510]) ).

tff(c_320,plain,
    ! [Y_10,X_9] : ( implies(implies(not(Y_10),not(implies(X_9,Y_10))),big_V(X_9,Y_10)) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_279]) ).

tff(c_6731,plain,
    ! [X_127] : ( implies(implies(not(not(truth)),not(implies(X_127,not(truth)))),X_127) = truth ),
    inference(superposition,[status(thm),theory(equality)],[c_6673,c_320]) ).

tff(c_16913,plain,
    ! [X_201] : ( implies(not(implies(X_201,not(truth))),X_201) = truth ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_5939,c_603,c_6731]) ).

tff(c_17040,plain,
    ! [Y_36] : ( big_V(truth,implies(Y_36,implies(not(Y_36),not(truth)))) = implies(Y_36,implies(not(Y_36),not(truth))) ),
    inference(superposition,[status(thm),theory(equality)],[c_16913,c_325]) ).

tff(c_20334,plain,
    ! [Y_217] : ( implies(Y_217,implies(not(Y_217),not(truth))) = truth ),
    inference(demodulation,[status(thm),theory(equality)],[c_529,c_17040]) ).

tff(c_20515,plain,
    ! [Y_217] : ( implies(truth,implies(not(Y_217),not(truth))) = big_V(Y_217,implies(not(Y_217),not(truth))) ),
    inference(superposition,[status(thm),theory(equality)],[c_20334,c_10]) ).

tff(c_21012,plain,
    ! [Y_220] : ( implies(not(Y_220),not(truth)) = Y_220 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1101,c_2,c_20515]) ).

tff(c_21144,plain,
    ! [Y_220] : ( big_V(not(Y_220),not(truth)) = implies(Y_220,not(truth)) ),
    inference(superposition,[status(thm),theory(equality)],[c_21012,c_10]) ).

tff(c_21245,plain,
    ! [Y_221] : ( implies(Y_221,not(truth)) = not(Y_221) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6645,c_21144]) ).

tff(c_20644,plain,
    ! [Y_217] : ( implies(not(Y_217),not(truth)) = Y_217 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1101,c_2,c_20515]) ).

tff(c_21541,plain,
    ! [Y_222] : ( not(not(Y_222)) = Y_222 ),
    inference(superposition,[status(thm),theory(equality)],[c_21245,c_20644]) ).

tff(c_21700,plain,
    ! [X_11,Y_12] : ( big_V(not(X_11),not(Y_12)) = not(big_hat(X_11,Y_12)) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_21541]) ).

tff(c_18,plain,
    big_V(not(x),not(y)) != not(big_hat(x,y)),
    inference(cnfTransformation,[status(thm)],[f_96]) ).

tff(c_22007,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_21700,c_18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL146-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14  % 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
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 13:55:46 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 11.43/4.01  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.43/4.02  
% 11.43/4.02  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.63/4.06  
% 11.63/4.06  Inference rules
% 11.63/4.06  ----------------------
% 11.63/4.06  #Ref     : 0
% 11.63/4.06  #Sup     : 5548
% 11.63/4.06  #Fact    : 0
% 11.63/4.06  #Define  : 0
% 11.63/4.06  #Split   : 0
% 11.63/4.06  #Chain   : 0
% 11.63/4.06  #Close   : 0
% 11.63/4.06  
% 11.63/4.06  Ordering : KBO
% 11.63/4.06  
% 11.63/4.06  Simplification rules
% 11.63/4.06  ----------------------
% 11.63/4.06  #Subsume      : 56
% 11.63/4.06  #Demod        : 7058
% 11.63/4.06  #Tautology    : 3395
% 11.63/4.06  #SimpNegUnit  : 0
% 11.63/4.06  #BackRed      : 55
% 11.63/4.06  
% 11.63/4.06  #Partial instantiations: 0
% 11.63/4.06  #Strategies tried      : 1
% 11.63/4.06  
% 11.63/4.06  Timing (in seconds)
% 11.63/4.06  ----------------------
% 11.63/4.06  Preprocessing        : 0.46
% 11.63/4.06  Parsing              : 0.25
% 11.63/4.06  CNF conversion       : 0.02
% 11.63/4.06  Main loop            : 2.44
% 11.63/4.06  Inferencing          : 0.52
% 11.63/4.06  Reduction            : 1.37
% 11.63/4.06  Demodulation         : 1.22
% 11.63/4.06  BG Simplification    : 0.06
% 11.63/4.06  Subsumption          : 0.36
% 11.63/4.07  Abstraction          : 0.07
% 11.63/4.07  MUC search           : 0.00
% 11.63/4.07  Cooper               : 0.00
% 11.63/4.07  Total                : 2.97
% 11.63/4.07  Index Insertion      : 0.00
% 11.63/4.07  Index Deletion       : 0.00
% 11.63/4.07  Index Matching       : 0.00
% 11.63/4.07  BG Taut test         : 0.00
%------------------------------------------------------------------------------