TSTP Solution File: KLE131+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : KLE131+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n016.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 10:44:53 EDT 2023

% Result   : Theorem 20.08s 6.33s
% Output   : CNFRefutation 20.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   35
% Syntax   : Number of formulae    :  104 (  85 unt;  18 typ;   0 def)
%            Number of atoms       :   87 (  86 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    3 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   1  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   23 (  15   >;   8   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   3 con; 0-2 aty)
%            Number of variables   :  110 (; 110   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ leq > multiplication > forward_diamond > forward_box > domain_difference > backward_diamond > backward_box > addition > #nlpp > star > domain > divergence > codomain > coantidomain > c > antidomain > zero > one > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_213,negated_conjecture,
    ~ ! [X0] :
        ( ( divergence(X0) = zero )
       <= ! [X1] : ( addition(domain(X1),forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1))))) = forward_diamond(star(X0),domain_difference(domain(X1),forward_diamond(X0,domain(X1)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

tff(f_201,axiom,
    ! [X0] : ( forward_diamond(X0,divergence(X0)) = divergence(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+7.ax',divergence1) ).

tff(f_166,axiom,
    ! [X0,X1] : ( forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',forward_diamond) ).

tff(f_118,axiom,
    ! [X0] : ( domain(X0) = antidomain(antidomain(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain4) ).

tff(f_162,axiom,
    ! [X0] : ( c(X0) = antidomain(domain(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',complement) ).

tff(f_66,axiom,
    ! [A] : ( multiplication(one,A) = A ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

tff(f_116,axiom,
    ! [X0] : ( addition(antidomain(antidomain(X0)),antidomain(X0)) = one ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain3) ).

tff(f_57,axiom,
    ! [A] : ( addition(A,zero) = A ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

tff(f_112,axiom,
    ! [X0] : ( multiplication(antidomain(X0),X0) = zero ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+4.ax',domain1) ).

tff(f_71,axiom,
    ! [A,B,C] : ( multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).

tff(f_64,axiom,
    ! [A] : ( multiplication(A,one) = A ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).

tff(f_53,axiom,
    ! [A,B] : ( addition(A,B) = addition(B,A) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

tff(f_69,axiom,
    ! [A,B,C] : ( multiplication(A,addition(B,C)) = addition(multiplication(A,B),multiplication(A,C)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).

tff(f_74,axiom,
    ! [A] : ( multiplication(A,zero) = zero ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).

tff(f_164,axiom,
    ! [X0,X1] : ( domain_difference(X0,X1) = multiplication(domain(X0),antidomain(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+6.ax',domain_difference) ).

tff(f_59,axiom,
    ! [A] : ( addition(A,A) = A ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

tff(f_55,axiom,
    ! [C,B,A] : ( addition(A,addition(B,C)) = addition(addition(A,B),C) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).

tff(c_60,plain,
    divergence('#skF_1') != zero,
    inference(cnfTransformation,[status(thm)],[f_213]) ).

tff(c_56,plain,
    ! [X0_44] : ( forward_diamond(X0_44,divergence(X0_44)) = divergence(X0_44) ),
    inference(cnfTransformation,[status(thm)],[f_201]) ).

tff(c_48,plain,
    ! [X0_36,X1_37] : ( domain(multiplication(X0_36,domain(X1_37))) = forward_diamond(X0_36,X1_37) ),
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_34,plain,
    ! [X0_27] : ( antidomain(antidomain(X0_27)) = domain(X0_27) ),
    inference(cnfTransformation,[status(thm)],[f_118]) ).

tff(c_44,plain,
    ! [X0_33] : ( antidomain(domain(X0_33)) = c(X0_33) ),
    inference(cnfTransformation,[status(thm)],[f_162]) ).

tff(c_250,plain,
    ! [X0_60] : ( antidomain(antidomain(X0_60)) = domain(X0_60) ),
    inference(cnfTransformation,[status(thm)],[f_118]) ).

tff(c_262,plain,
    ! [X0_27] : ( domain(antidomain(X0_27)) = antidomain(domain(X0_27)) ),
    inference(superposition,[status(thm),theory(equality)],[c_34,c_250]) ).

tff(c_274,plain,
    ! [X0_27] : ( domain(antidomain(X0_27)) = c(X0_27) ),
    inference(demodulation,[status(thm),theory(equality)],[c_44,c_262]) ).

tff(c_14,plain,
    ! [A_12] : ( multiplication(one,A_12) = A_12 ),
    inference(cnfTransformation,[status(thm)],[f_66]) ).

tff(c_32,plain,
    ! [X0_26] : ( addition(antidomain(antidomain(X0_26)),antidomain(X0_26)) = one ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_65,plain,
    ! [X0_26] : ( addition(domain(X0_26),antidomain(X0_26)) = one ),
    inference(demodulation,[status(thm),theory(equality)],[c_34,c_32]) ).

tff(c_6,plain,
    ! [A_6] : ( addition(A_6,zero) = A_6 ),
    inference(cnfTransformation,[status(thm)],[f_57]) ).

tff(c_28,plain,
    ! [X0_23] : ( multiplication(antidomain(X0_23),X0_23) = zero ),
    inference(cnfTransformation,[status(thm)],[f_112]) ).

tff(c_2909,plain,
    ! [A_133,C_134,B_135] : ( addition(multiplication(A_133,C_134),multiplication(B_135,C_134)) = multiplication(addition(A_133,B_135),C_134) ),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_2982,plain,
    ! [A_133,X0_23] : ( multiplication(addition(A_133,antidomain(X0_23)),X0_23) = addition(multiplication(A_133,X0_23),zero) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_2909]) ).

tff(c_5513,plain,
    ! [A_185,X0_186] : ( multiplication(addition(A_185,antidomain(X0_186)),X0_186) = multiplication(A_185,X0_186) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_2982]) ).

tff(c_5584,plain,
    ! [X0_26] : ( multiplication(domain(X0_26),X0_26) = multiplication(one,X0_26) ),
    inference(superposition,[status(thm),theory(equality)],[c_65,c_5513]) ).

tff(c_5636,plain,
    ! [X0_187] : ( multiplication(domain(X0_187),X0_187) = X0_187 ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_5584]) ).

tff(c_5714,plain,
    ! [X0_27] : ( multiplication(c(X0_27),antidomain(X0_27)) = antidomain(X0_27) ),
    inference(superposition,[status(thm),theory(equality)],[c_274,c_5636]) ).

tff(c_12,plain,
    ! [A_11] : ( multiplication(A_11,one) = A_11 ),
    inference(cnfTransformation,[status(thm)],[f_64]) ).

tff(c_2,plain,
    ! [B_2,A_1] : ( addition(B_2,A_1) = addition(A_1,B_2) ),
    inference(cnfTransformation,[status(thm)],[f_53]) ).

tff(c_527,plain,
    ! [X0_68] : ( addition(domain(X0_68),antidomain(X0_68)) = one ),
    inference(demodulation,[status(thm),theory(equality)],[c_34,c_32]) ).

tff(c_543,plain,
    ! [X0_68] : ( addition(antidomain(X0_68),domain(X0_68)) = one ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_527]) ).

tff(c_3193,plain,
    ! [A_138,B_139,C_140] : ( addition(multiplication(A_138,B_139),multiplication(A_138,C_140)) = multiplication(A_138,addition(B_139,C_140)) ),
    inference(cnfTransformation,[status(thm)],[f_69]) ).

tff(c_3280,plain,
    ! [X0_23,B_139] : ( multiplication(antidomain(X0_23),addition(B_139,X0_23)) = addition(multiplication(antidomain(X0_23),B_139),zero) ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_3193]) ).

tff(c_11121,plain,
    ! [X0_253,B_254] : ( multiplication(antidomain(X0_253),addition(B_254,X0_253)) = multiplication(antidomain(X0_253),B_254) ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_3280]) ).

tff(c_11288,plain,
    ! [X0_68] : ( multiplication(antidomain(domain(X0_68)),antidomain(X0_68)) = multiplication(antidomain(domain(X0_68)),one) ),
    inference(superposition,[status(thm),theory(equality)],[c_543,c_11121]) ).

tff(c_11377,plain,
    ! [X0_68] : ( c(X0_68) = antidomain(X0_68) ),
    inference(demodulation,[status(thm),theory(equality)],[c_5714,c_44,c_44,c_12,c_11288]) ).

tff(c_1348,plain,
    ! [X0_93,X1_94] : ( domain(multiplication(X0_93,domain(X1_94))) = forward_diamond(X0_93,X1_94) ),
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_1419,plain,
    ! [X1_94] : ( domain(domain(X1_94)) = forward_diamond(one,X1_94) ),
    inference(superposition,[status(thm),theory(equality)],[c_14,c_1348]) ).

tff(c_271,plain,
    ! [X0_33] : ( domain(domain(X0_33)) = antidomain(c(X0_33)) ),
    inference(superposition,[status(thm),theory(equality)],[c_44,c_250]) ).

tff(c_1533,plain,
    ! [X0_33] : ( antidomain(c(X0_33)) = forward_diamond(one,X0_33) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1419,c_271]) ).

tff(c_11418,plain,
    ! [X0_33] : ( antidomain(antidomain(X0_33)) = forward_diamond(one,X0_33) ),
    inference(demodulation,[status(thm),theory(equality)],[c_11377,c_1533]) ).

tff(c_11441,plain,
    ! [X0_33] : ( forward_diamond(one,X0_33) = domain(X0_33) ),
    inference(demodulation,[status(thm),theory(equality)],[c_34,c_11418]) ).

tff(c_11820,plain,
    ! [X1_260] : ( domain(domain(X1_260)) = domain(X1_260) ),
    inference(demodulation,[status(thm),theory(equality)],[c_11441,c_1419]) ).

tff(c_11948,plain,
    ! [X0_36,X1_37] : ( domain(multiplication(X0_36,domain(X1_37))) = domain(forward_diamond(X0_36,X1_37)) ),
    inference(superposition,[status(thm),theory(equality)],[c_48,c_11820]) ).

tff(c_29792,plain,
    ! [X0_409,X1_410] : ( domain(forward_diamond(X0_409,X1_410)) = forward_diamond(X0_409,X1_410) ),
    inference(demodulation,[status(thm),theory(equality)],[c_48,c_11948]) ).

tff(c_29963,plain,
    ! [X0_44] : ( forward_diamond(X0_44,divergence(X0_44)) = domain(divergence(X0_44)) ),
    inference(superposition,[status(thm),theory(equality)],[c_56,c_29792]) ).

tff(c_30004,plain,
    ! [X0_44] : ( domain(divergence(X0_44)) = divergence(X0_44) ),
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_29963]) ).

tff(c_215,plain,
    ! [X0_59] : ( multiplication(antidomain(X0_59),X0_59) = zero ),
    inference(cnfTransformation,[status(thm)],[f_112]) ).

tff(c_221,plain,
    antidomain(one) = zero,
    inference(superposition,[status(thm),theory(equality)],[c_215,c_12]) ).

tff(c_268,plain,
    domain(one) = antidomain(zero),
    inference(superposition,[status(thm),theory(equality)],[c_221,c_250]) ).

tff(c_564,plain,
    addition(domain(one),zero) = one,
    inference(superposition,[status(thm),theory(equality)],[c_221,c_527]) ).

tff(c_574,plain,
    antidomain(zero) = one,
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_268,c_564]) ).

tff(c_588,plain,
    domain(zero) = antidomain(one),
    inference(superposition,[status(thm),theory(equality)],[c_574,c_34]) ).

tff(c_595,plain,
    domain(zero) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_221,c_588]) ).

tff(c_20,plain,
    ! [A_19] : ( multiplication(A_19,zero) = zero ),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_1405,plain,
    ! [X0_93] : ( domain(multiplication(X0_93,zero)) = forward_diamond(X0_93,zero) ),
    inference(superposition,[status(thm),theory(equality)],[c_595,c_1348]) ).

tff(c_1430,plain,
    ! [X0_93] : ( forward_diamond(X0_93,zero) = zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_595,c_20,c_1405]) ).

tff(c_1183,plain,
    ! [X0_86,X1_87] : ( multiplication(domain(X0_86),antidomain(X1_87)) = domain_difference(X0_86,X1_87) ),
    inference(cnfTransformation,[status(thm)],[f_164]) ).

tff(c_259,plain,
    ! [X0_60] : ( multiplication(domain(X0_60),antidomain(X0_60)) = zero ),
    inference(superposition,[status(thm),theory(equality)],[c_250,c_28]) ).

tff(c_1190,plain,
    ! [X1_87] : ( domain_difference(X1_87,X1_87) = zero ),
    inference(superposition,[status(thm),theory(equality)],[c_1183,c_259]) ).

tff(c_11918,plain,
    ! [X0_36,X1_260] : ( domain(multiplication(X0_36,domain(X1_260))) = forward_diamond(X0_36,domain(X1_260)) ),
    inference(superposition,[status(thm),theory(equality)],[c_11820,c_48]) ).

tff(c_11985,plain,
    ! [X0_36,X1_260] : ( forward_diamond(X0_36,domain(X1_260)) = forward_diamond(X0_36,X1_260) ),
    inference(demodulation,[status(thm),theory(equality)],[c_48,c_11918]) ).

tff(c_46,plain,
    ! [X0_34,X1_35] : ( multiplication(domain(X0_34),antidomain(X1_35)) = domain_difference(X0_34,X1_35) ),
    inference(cnfTransformation,[status(thm)],[f_164]) ).

tff(c_11921,plain,
    ! [X1_260,X1_35] : ( multiplication(domain(X1_260),antidomain(X1_35)) = domain_difference(domain(X1_260),X1_35) ),
    inference(superposition,[status(thm),theory(equality)],[c_11820,c_46]) ).

tff(c_11986,plain,
    ! [X1_260,X1_35] : ( domain_difference(domain(X1_260),X1_35) = domain_difference(X1_260,X1_35) ),
    inference(demodulation,[status(thm),theory(equality)],[c_46,c_11921]) ).

tff(c_62,plain,
    ! [X1_49] : ( addition(domain(X1_49),forward_diamond(star('#skF_1'),domain_difference(domain(X1_49),forward_diamond('#skF_1',domain(X1_49))))) = forward_diamond(star('#skF_1'),domain_difference(domain(X1_49),forward_diamond('#skF_1',domain(X1_49)))) ),
    inference(cnfTransformation,[status(thm)],[f_213]) ).

tff(c_29645,plain,
    ! [X1_408] : ( addition(domain(X1_408),forward_diamond(star('#skF_1'),domain_difference(X1_408,forward_diamond('#skF_1',domain(X1_408))))) = forward_diamond(star('#skF_1'),domain_difference(X1_408,forward_diamond('#skF_1',domain(X1_408)))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_11986,c_11986,c_62]) ).

tff(c_8,plain,
    ! [A_7] : ( addition(A_7,A_7) = A_7 ),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_2295,plain,
    ! [A_120,B_121,C_122] : ( addition(addition(A_120,B_121),C_122) = addition(A_120,addition(B_121,C_122)) ),
    inference(cnfTransformation,[status(thm)],[f_55]) ).

tff(c_2372,plain,
    ! [A_7,C_122] : ( addition(A_7,addition(A_7,C_122)) = addition(A_7,C_122) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_2295]) ).

tff(c_11237,plain,
    ! [A_7,C_122] : ( multiplication(antidomain(addition(A_7,C_122)),addition(A_7,C_122)) = multiplication(antidomain(addition(A_7,C_122)),A_7) ),
    inference(superposition,[status(thm),theory(equality)],[c_2372,c_11121]) ).

tff(c_11364,plain,
    ! [A_7,C_122] : ( multiplication(antidomain(addition(A_7,C_122)),A_7) = zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_28,c_11237]) ).

tff(c_29669,plain,
    ! [X1_408] : ( multiplication(antidomain(forward_diamond(star('#skF_1'),domain_difference(X1_408,forward_diamond('#skF_1',domain(X1_408))))),domain(X1_408)) = zero ),
    inference(superposition,[status(thm),theory(equality)],[c_29645,c_11364]) ).

tff(c_30842,plain,
    ! [X1_418] : ( multiplication(antidomain(forward_diamond(star('#skF_1'),domain_difference(X1_418,forward_diamond('#skF_1',X1_418)))),domain(X1_418)) = zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_11985,c_29669]) ).

tff(c_30979,plain,
    multiplication(antidomain(forward_diamond(star('#skF_1'),domain_difference(divergence('#skF_1'),divergence('#skF_1')))),domain(divergence('#skF_1'))) = zero,
    inference(superposition,[status(thm),theory(equality)],[c_56,c_30842]) ).

tff(c_31016,plain,
    divergence('#skF_1') = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_30004,c_14,c_574,c_1430,c_1190,c_30979]) ).

tff(c_31018,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_60,c_31016]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KLE131+1 : TPTP v8.1.2. Released v4.0.0.
% 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
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 23:52:38 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 20.08/6.33  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.08/6.33  
% 20.08/6.33  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 20.29/6.37  
% 20.29/6.37  Inference rules
% 20.29/6.37  ----------------------
% 20.29/6.37  #Ref     : 0
% 20.29/6.37  #Sup     : 7829
% 20.29/6.37  #Fact    : 0
% 20.29/6.37  #Define  : 0
% 20.29/6.37  #Split   : 0
% 20.29/6.37  #Chain   : 0
% 20.29/6.37  #Close   : 0
% 20.29/6.37  
% 20.29/6.37  Ordering : KBO
% 20.29/6.37  
% 20.29/6.37  Simplification rules
% 20.29/6.37  ----------------------
% 20.29/6.37  #Subsume      : 75
% 20.29/6.37  #Demod        : 12578
% 20.29/6.37  #Tautology    : 4566
% 20.29/6.37  #SimpNegUnit  : 1
% 20.29/6.37  #BackRed      : 93
% 20.29/6.37  
% 20.29/6.37  #Partial instantiations: 0
% 20.29/6.37  #Strategies tried      : 1
% 20.29/6.37  
% 20.29/6.37  Timing (in seconds)
% 20.29/6.37  ----------------------
% 20.29/6.38  Preprocessing        : 0.55
% 20.29/6.38  Parsing              : 0.30
% 20.29/6.38  CNF conversion       : 0.03
% 20.29/6.38  Main loop            : 4.75
% 20.29/6.38  Inferencing          : 0.84
% 20.29/6.38  Reduction            : 2.86
% 20.29/6.38  Demodulation         : 2.56
% 20.29/6.38  BG Simplification    : 0.09
% 20.29/6.38  Subsumption          : 0.73
% 20.29/6.38  Abstraction          : 0.14
% 20.29/6.38  MUC search           : 0.00
% 20.29/6.38  Cooper               : 0.00
% 20.29/6.38  Total                : 5.36
% 20.29/6.38  Index Insertion      : 0.00
% 20.29/6.38  Index Deletion       : 0.00
% 20.29/6.38  Index Matching       : 0.00
% 20.29/6.38  BG Taut test         : 0.00
%------------------------------------------------------------------------------