TSTP Solution File: KLE079+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : KLE079+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 : n018.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 10:44:49 EDT 2023

% Result   : Theorem 37.72s 26.90s
% Output   : CNFRefutation 37.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   93 (  84 unt;   8 typ;   0 def)
%            Number of atoms       :   87 (  86 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    4 (   2   ~;   0   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   5   >;   3   *;   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   :  129 (; 129   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ leq > multiplication > addition > #nlpp > domain > antidomain > zero > one > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

tff(f_65,axiom,
    ! [A] : ( multiplication(one,A) = A ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).

tff(f_117,axiom,
    ! [X0] : ( addition(domain(X0),one) = one ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain3) ).

tff(f_52,axiom,
    ! [A,B] : ( addition(A,B) = addition(B,A) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).

tff(f_63,axiom,
    ! [A] : ( multiplication(A,one) = A ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).

tff(f_113,axiom,
    ! [X0] : ( addition(X0,multiplication(domain(X0),X0)) = multiplication(domain(X0),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain1) ).

tff(f_115,axiom,
    ! [X0,X1] : ( domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain2) ).

tff(f_130,negated_conjecture,
    ~ ! [X0] :
        ( ! [X1] :
            ( ( addition(domain(X1),antidomain(X1)) = one )
            & ( multiplication(domain(X1),antidomain(X1)) = zero ) )
       => ( multiplication(antidomain(X0),domain(X0)) = zero ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

tff(f_120,axiom,
    ! [X0,X1] : ( domain(addition(X0,X1)) = addition(domain(X0),domain(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain5) ).

tff(f_56,axiom,
    ! [A] : ( addition(A,zero) = A ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).

tff(f_70,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_68,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_75,axiom,
    ! [A] : ( multiplication(zero,A) = zero ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).

tff(f_118,axiom,
    domain(zero) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain4) ).

tff(f_58,axiom,
    ! [A] : ( addition(A,A) = A ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).

tff(f_54,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(f_61,axiom,
    ! [A,B,C] : ( multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).

tff(c_14,plain,
    ! [A_12] : ( multiplication(one,A_12) = A_12 ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_32,plain,
    ! [X0_26] : ( addition(domain(X0_26),one) = one ),
    inference(cnfTransformation,[status(thm)],[f_117]) ).

tff(c_183,plain,
    ! [B_40,A_41] : ( addition(B_40,A_41) = addition(A_41,B_40) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_251,plain,
    ! [X0_26] : ( addition(one,domain(X0_26)) = one ),
    inference(superposition,[status(thm),theory(equality)],[c_32,c_183]) ).

tff(c_12,plain,
    ! [A_11] : ( multiplication(A_11,one) = A_11 ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_879,plain,
    ! [X0_66] : ( addition(X0_66,multiplication(domain(X0_66),X0_66)) = multiplication(domain(X0_66),X0_66) ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_907,plain,
    multiplication(domain(one),one) = addition(one,domain(one)),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_879]) ).

tff(c_918,plain,
    domain(one) = one,
    inference(demodulation,[status(thm),theory(equality)],[c_251,c_12,c_907]) ).

tff(c_418,plain,
    ! [X0_51,X1_52] : ( domain(multiplication(X0_51,domain(X1_52))) = domain(multiplication(X0_51,X1_52)) ),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_453,plain,
    ! [X1_52] : ( domain(multiplication(one,X1_52)) = domain(domain(X1_52)) ),
    inference(superposition,[status(thm),theory(equality)],[c_14,c_418]) ).

tff(c_469,plain,
    ! [X1_52] : ( domain(domain(X1_52)) = domain(X1_52) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_453]) ).

tff(c_40,plain,
    ! [X1_30] : ( addition(domain(X1_30),antidomain(X1_30)) = one ),
    inference(cnfTransformation,[status(thm)],[f_130]) ).

tff(c_2,plain,
    ! [B_2,A_1] : ( addition(B_2,A_1) = addition(A_1,B_2) ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_379,plain,
    ! [X0_49,X1_50] : ( addition(domain(X0_49),domain(X1_50)) = domain(addition(X0_49,X1_50)) ),
    inference(cnfTransformation,[status(thm)],[f_120]) ).

tff(c_398,plain,
    ! [X1_50,X0_49] : ( addition(domain(X1_50),domain(X0_49)) = domain(addition(X0_49,X1_50)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_379]) ).

tff(c_6,plain,
    ! [A_6] : ( addition(A_6,zero) = A_6 ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_217,plain,
    ! [A_41] : ( addition(zero,A_41) = A_41 ),
    inference(superposition,[status(thm),theory(equality)],[c_183,c_6]) ).

tff(c_42,plain,
    ! [X1_30] : ( multiplication(domain(X1_30),antidomain(X1_30)) = zero ),
    inference(cnfTransformation,[status(thm)],[f_130]) ).

tff(c_1509,plain,
    ! [A_75,C_76,B_77] : ( addition(multiplication(A_75,C_76),multiplication(B_77,C_76)) = multiplication(addition(A_75,B_77),C_76) ),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_1561,plain,
    ! [X1_30,B_77] : ( multiplication(addition(domain(X1_30),B_77),antidomain(X1_30)) = addition(zero,multiplication(B_77,antidomain(X1_30))) ),
    inference(superposition,[status(thm),theory(equality)],[c_42,c_1509]) ).

tff(c_23361,plain,
    ! [X1_241,B_242] : ( multiplication(addition(domain(X1_241),B_242),antidomain(X1_241)) = multiplication(B_242,antidomain(X1_241)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_217,c_1561]) ).

tff(c_175237,plain,
    ! [X0_662,X1_663] : ( multiplication(domain(addition(X0_662,X1_663)),antidomain(X1_663)) = multiplication(domain(X0_662),antidomain(X1_663)) ),
    inference(superposition,[status(thm),theory(equality)],[c_398,c_23361]) ).

tff(c_176114,plain,
    ! [X1_30] : ( multiplication(domain(domain(X1_30)),antidomain(antidomain(X1_30))) = multiplication(domain(one),antidomain(antidomain(X1_30))) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_175237]) ).

tff(c_176360,plain,
    ! [X1_30] : ( multiplication(domain(X1_30),antidomain(antidomain(X1_30))) = antidomain(antidomain(X1_30)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_918,c_469,c_176114]) ).

tff(c_1906,plain,
    ! [A_82,B_83,C_84] : ( addition(multiplication(A_82,B_83),multiplication(A_82,C_84)) = multiplication(A_82,addition(B_83,C_84)) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_1966,plain,
    ! [X1_30,C_84] : ( multiplication(domain(X1_30),addition(antidomain(X1_30),C_84)) = addition(zero,multiplication(domain(X1_30),C_84)) ),
    inference(superposition,[status(thm),theory(equality)],[c_42,c_1906]) ).

tff(c_2011,plain,
    ! [X1_30,C_84] : ( multiplication(domain(X1_30),addition(antidomain(X1_30),C_84)) = multiplication(domain(X1_30),C_84) ),
    inference(demodulation,[status(thm),theory(equality)],[c_217,c_1966]) ).

tff(c_36,plain,
    ! [X0_27,X1_28] : ( addition(domain(X0_27),domain(X1_28)) = domain(addition(X0_27,X1_28)) ),
    inference(cnfTransformation,[status(thm)],[f_120]) ).

tff(c_814,plain,
    ! [X1_64,X0_65] : ( addition(domain(X1_64),domain(X0_65)) = domain(addition(X0_65,X1_64)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_379]) ).

tff(c_839,plain,
    ! [X1_64,X1_52] : ( addition(domain(X1_64),domain(X1_52)) = domain(addition(domain(X1_52),X1_64)) ),
    inference(superposition,[status(thm),theory(equality)],[c_469,c_814]) ).

tff(c_20963,plain,
    ! [X1_231,X1_232] : ( domain(addition(domain(X1_231),X1_232)) = domain(addition(X1_232,X1_231)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_36,c_839]) ).

tff(c_21349,plain,
    ! [X1_30] : ( domain(addition(antidomain(X1_30),X1_30)) = domain(one) ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_20963]) ).

tff(c_21465,plain,
    ! [X1_233] : ( domain(addition(X1_233,antidomain(X1_233))) = one ),
    inference(demodulation,[status(thm),theory(equality)],[c_918,c_2,c_21349]) ).

tff(c_30,plain,
    ! [X0_24,X1_25] : ( domain(multiplication(X0_24,domain(X1_25))) = domain(multiplication(X0_24,X1_25)) ),
    inference(cnfTransformation,[status(thm)],[f_115]) ).

tff(c_21635,plain,
    ! [X0_24,X1_233] : ( domain(multiplication(X0_24,addition(X1_233,antidomain(X1_233)))) = domain(multiplication(X0_24,one)) ),
    inference(superposition,[status(thm),theory(equality)],[c_21465,c_30]) ).

tff(c_96894,plain,
    ! [X0_491,X1_492] : ( domain(multiplication(X0_491,addition(X1_492,antidomain(X1_492)))) = domain(X0_491) ),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_21635]) ).

tff(c_97346,plain,
    ! [X1_30] : ( domain(multiplication(domain(X1_30),antidomain(antidomain(X1_30)))) = domain(domain(X1_30)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2011,c_96894]) ).

tff(c_97531,plain,
    ! [X1_30] : ( domain(multiplication(domain(X1_30),antidomain(antidomain(X1_30)))) = domain(X1_30) ),
    inference(demodulation,[status(thm),theory(equality)],[c_469,c_97346]) ).

tff(c_177594,plain,
    ! [X1_30] : ( domain(antidomain(antidomain(X1_30))) = domain(X1_30) ),
    inference(demodulation,[status(thm),theory(equality)],[c_176360,c_97531]) ).

tff(c_22,plain,
    ! [A_20] : ( multiplication(zero,A_20) = zero ),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_34,plain,
    domain(zero) = zero,
    inference(cnfTransformation,[status(thm)],[f_118]) ).

tff(c_201,plain,
    ! [X1_30] : ( addition(antidomain(X1_30),domain(X1_30)) = one ),
    inference(superposition,[status(thm),theory(equality)],[c_183,c_40]) ).

tff(c_8,plain,
    ! [A_7] : ( addition(A_7,A_7) = A_7 ),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_1242,plain,
    ! [A_69,B_70,C_71] : ( addition(addition(A_69,B_70),C_71) = addition(A_69,addition(B_70,C_71)) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_2100,plain,
    ! [A_87,C_88] : ( addition(A_87,addition(A_87,C_88)) = addition(A_87,C_88) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_1242]) ).

tff(c_2184,plain,
    ! [X1_30] : ( addition(antidomain(X1_30),domain(X1_30)) = addition(antidomain(X1_30),one) ),
    inference(superposition,[status(thm),theory(equality)],[c_201,c_2100]) ).

tff(c_2234,plain,
    ! [X1_30] : ( addition(one,antidomain(X1_30)) = one ),
    inference(demodulation,[status(thm),theory(equality)],[c_201,c_2,c_2184]) ).

tff(c_4006,plain,
    ! [B_112,A_113] : ( multiplication(addition(one,B_112),A_113) = addition(A_113,multiplication(B_112,A_113)) ),
    inference(superposition,[status(thm),theory(equality)],[c_14,c_1509]) ).

tff(c_4082,plain,
    ! [A_113,X1_30] : ( addition(A_113,multiplication(antidomain(X1_30),A_113)) = multiplication(one,A_113) ),
    inference(superposition,[status(thm),theory(equality)],[c_2234,c_4006]) ).

tff(c_4161,plain,
    ! [A_113,X1_30] : ( addition(A_113,multiplication(antidomain(X1_30),A_113)) = A_113 ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_4082]) ).

tff(c_21975,plain,
    ! [X1_235,C_236] : ( multiplication(domain(X1_235),addition(antidomain(X1_235),C_236)) = multiplication(domain(X1_235),C_236) ),
    inference(demodulation,[status(thm),theory(equality)],[c_217,c_1966]) ).

tff(c_22125,plain,
    ! [X1_235,X1_30] : ( multiplication(domain(X1_235),multiplication(antidomain(X1_30),antidomain(X1_235))) = multiplication(domain(X1_235),antidomain(X1_235)) ),
    inference(superposition,[status(thm),theory(equality)],[c_4161,c_21975]) ).

tff(c_87325,plain,
    ! [X1_465,X1_466] : ( multiplication(domain(X1_465),multiplication(antidomain(X1_466),antidomain(X1_465))) = zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_42,c_22125]) ).

tff(c_28,plain,
    ! [X0_23] : ( addition(X0_23,multiplication(domain(X0_23),X0_23)) = multiplication(domain(X0_23),X0_23) ),
    inference(cnfTransformation,[status(thm)],[f_113]) ).

tff(c_4052,plain,
    ! [A_113] : ( multiplication(addition(one,domain(A_113)),A_113) = multiplication(domain(A_113),A_113) ),
    inference(superposition,[status(thm),theory(equality)],[c_4006,c_28]) ).

tff(c_4177,plain,
    ! [A_114] : ( multiplication(domain(A_114),A_114) = A_114 ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_251,c_4052]) ).

tff(c_10,plain,
    ! [A_8,B_9,C_10] : ( multiplication(multiplication(A_8,B_9),C_10) = multiplication(A_8,multiplication(B_9,C_10)) ),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_4213,plain,
    ! [A_114,C_10] : ( multiplication(domain(A_114),multiplication(A_114,C_10)) = multiplication(A_114,C_10) ),
    inference(superposition,[status(thm),theory(equality)],[c_4177,c_10]) ).

tff(c_87755,plain,
    ! [X1_467] : ( multiplication(antidomain(X1_467),antidomain(antidomain(X1_467))) = zero ),
    inference(superposition,[status(thm),theory(equality)],[c_87325,c_4213]) ).

tff(c_4116,plain,
    ! [A_113,X0_26] : ( addition(A_113,multiplication(domain(X0_26),A_113)) = multiplication(one,A_113) ),
    inference(superposition,[status(thm),theory(equality)],[c_251,c_4006]) ).

tff(c_4167,plain,
    ! [A_113,X0_26] : ( addition(A_113,multiplication(domain(X0_26),A_113)) = A_113 ),
    inference(demodulation,[status(thm),theory(equality)],[c_14,c_4116]) ).

tff(c_895,plain,
    ! [X0_24,X1_25] : ( addition(multiplication(X0_24,domain(X1_25)),multiplication(domain(multiplication(X0_24,X1_25)),multiplication(X0_24,domain(X1_25)))) = multiplication(domain(multiplication(X0_24,domain(X1_25))),multiplication(X0_24,domain(X1_25))) ),
    inference(superposition,[status(thm),theory(equality)],[c_30,c_879]) ).

tff(c_915,plain,
    ! [X0_24,X1_25] : ( addition(multiplication(X0_24,domain(X1_25)),multiplication(domain(multiplication(X0_24,X1_25)),multiplication(X0_24,domain(X1_25)))) = multiplication(domain(multiplication(X0_24,X1_25)),multiplication(X0_24,domain(X1_25))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_30,c_895]) ).

tff(c_62758,plain,
    ! [X0_24,X1_25] : ( multiplication(domain(multiplication(X0_24,X1_25)),multiplication(X0_24,domain(X1_25))) = multiplication(X0_24,domain(X1_25)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4167,c_915]) ).

tff(c_87772,plain,
    ! [X1_467] : ( multiplication(domain(zero),multiplication(antidomain(X1_467),domain(antidomain(antidomain(X1_467))))) = multiplication(antidomain(X1_467),domain(antidomain(antidomain(X1_467)))) ),
    inference(superposition,[status(thm),theory(equality)],[c_87755,c_62758]) ).

tff(c_87985,plain,
    ! [X1_467] : ( multiplication(antidomain(X1_467),domain(antidomain(antidomain(X1_467)))) = zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_22,c_34,c_87772]) ).

tff(c_178166,plain,
    ! [X1_467] : ( multiplication(antidomain(X1_467),domain(X1_467)) = zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_177594,c_87985]) ).

tff(c_38,plain,
    multiplication(antidomain('#skF_1'),domain('#skF_1')) != zero,
    inference(cnfTransformation,[status(thm)],[f_130]) ).

tff(c_179618,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_178166,c_38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : KLE079+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % 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
% 0.19/0.36  % Computer : n018.cluster.edu
% 0.19/0.36  % Model    : x86_64 x86_64
% 0.19/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36  % Memory   : 8042.1875MB
% 0.19/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36  % CPULimit : 300
% 0.19/0.36  % WCLimit  : 300
% 0.19/0.36  % DateTime : Thu Aug  3 23:29:50 EDT 2023
% 0.19/0.36  % CPUTime  : 
% 37.72/26.90  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 37.72/26.91  
% 37.72/26.91  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 37.72/26.95  
% 37.72/26.95  Inference rules
% 37.72/26.95  ----------------------
% 37.72/26.95  #Ref     : 0
% 37.72/26.95  #Sup     : 45750
% 37.72/26.95  #Fact    : 0
% 37.72/26.95  #Define  : 0
% 37.72/26.95  #Split   : 0
% 37.72/26.95  #Chain   : 0
% 37.72/26.95  #Close   : 0
% 37.72/26.95  
% 37.72/26.95  Ordering : KBO
% 37.72/26.95  
% 37.72/26.95  Simplification rules
% 37.72/26.95  ----------------------
% 37.72/26.95  #Subsume      : 1046
% 37.72/26.95  #Demod        : 83476
% 37.72/26.95  #Tautology    : 28742
% 37.72/26.95  #SimpNegUnit  : 0
% 37.72/26.95  #BackRed      : 31
% 37.72/26.95  
% 37.72/26.95  #Partial instantiations: 0
% 37.72/26.95  #Strategies tried      : 1
% 37.72/26.95  
% 37.72/26.95  Timing (in seconds)
% 37.72/26.95  ----------------------
% 37.72/26.95  Preprocessing        : 0.49
% 37.72/26.95  Parsing              : 0.27
% 37.72/26.95  CNF conversion       : 0.03
% 37.72/26.95  Main loop            : 25.37
% 37.72/26.95  Inferencing          : 2.05
% 37.72/26.95  Reduction            : 17.62
% 37.72/26.95  Demodulation         : 16.61
% 37.72/26.95  BG Simplification    : 0.21
% 37.72/26.95  Subsumption          : 4.27
% 37.72/26.95  Abstraction          : 0.46
% 37.72/26.95  MUC search           : 0.00
% 37.72/26.95  Cooper               : 0.00
% 37.72/26.95  Total                : 25.92
% 37.72/26.95  Index Insertion      : 0.00
% 37.72/26.95  Index Deletion       : 0.00
% 37.72/26.95  Index Matching       : 0.00
% 37.72/26.95  BG Taut test         : 0.00
%------------------------------------------------------------------------------