TSTP Solution File: HEN010-10 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : HEN010-10 : TPTP v8.1.2. Released v7.3.0.
% 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 : n013.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 10:42:18 EDT 2023

% Result   : Unsatisfiable 101.58s 87.61s
% Output   : CNFRefutation 101.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   90 (  78 unt;  12 typ;   0 def)
%            Number of atoms       :   78 (  77 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   15 (   5   >;  10   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-4 aty)
%            Number of variables   :  144 (; 144   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ ifeq2 > ifeq > quotient > less_equal > divide > #nlpp > zero > true > identity > idQa_Q__idQ_idQa > idQa > idQ_idQa > a

%Foreground sorts:

%Background operators:

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

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

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

tff(ifeq2,type,
    ifeq2: ( $i * $i * $i * $i ) > $i ).

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

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

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

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

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

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

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

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

tff(f_65,axiom,
    idQa != idQa_Q__idQ_idQa,
    file(unknown,unknown) ).

tff(f_24,axiom,
    ! [A,B,C] : ( ifeq2(A,A,B,C) = B ),
    file(unknown,unknown) ).

tff(f_26,axiom,
    ! [A,B,C] : ( ifeq(A,A,B,C) = B ),
    file(unknown,unknown) ).

tff(f_42,axiom,
    ! [X,Y] : ( quotient(X,Y,divide(X,Y)) = true ),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ! [X] : ( quotient(X,zero,X) = true ),
    file(unknown,unknown) ).

tff(f_44,axiom,
    ! [X,Y,W,Z] : ( ifeq2(quotient(X,Y,W),true,ifeq2(quotient(X,Y,Z),true,Z,W),W) = W ),
    file(unknown,unknown) ).

tff(f_40,axiom,
    ! [X] : ( less_equal(X,identity) = true ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    quotient(identity,idQa,idQ_idQa) = true,
    file(unknown,unknown) ).

tff(f_60,axiom,
    ! [W1,Z,X,Y,W2] : ( ifeq(quotient(Y,Z,W2),true,ifeq(quotient(X,Z,W1),true,ifeq(less_equal(X,Y),true,less_equal(W1,W2),true),true),true) = true ),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ! [W1,Z,X,Y,W2] : ( ifeq(quotient(X,Z,W2),true,ifeq(quotient(X,Y,W1),true,ifeq(less_equal(W1,Z),true,less_equal(W2,Y),true),true),true) = true ),
    file(unknown,unknown) ).

tff(f_32,axiom,
    ! [X,Y,Z] : ( ifeq(quotient(X,Y,Z),true,less_equal(Z,X),true) = true ),
    file(unknown,unknown) ).

tff(f_61,axiom,
    quotient(identity,a,idQa) = true,
    file(unknown,unknown) ).

tff(f_58,axiom,
    ! [W1,Z,X,Y,W2] : ( ifeq(quotient(Z,Y,W1),true,ifeq(quotient(Z,X,W2),true,ifeq(less_equal(X,Y),true,less_equal(W1,W2),true),true),true) = true ),
    file(unknown,unknown) ).

tff(f_38,axiom,
    ! [Y,X] : ( ifeq2(less_equal(Y,X),true,ifeq2(less_equal(X,Y),true,X,Y),Y) = Y ),
    file(unknown,unknown) ).

tff(f_63,axiom,
    quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa) = true,
    file(unknown,unknown) ).

tff(f_50,axiom,
    ! [X] : ( quotient(X,X,zero) = true ),
    file(unknown,unknown) ).

tff(f_34,axiom,
    ! [V3,V5,Z,V1,X,Y,V2,V4] : ( ifeq(quotient(V3,V2,V4),true,ifeq(quotient(V1,Z,V5),true,ifeq(quotient(Y,Z,V2),true,ifeq(quotient(X,Z,V3),true,ifeq(quotient(X,Y,V1),true,less_equal(V4,V5),true),true),true),true),true) = true ),
    file(unknown,unknown) ).

tff(c_46,plain,
    idQa_Q__idQ_idQa != idQa,
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_2,plain,
    ! [A_1,B_2,C_3] : ( ifeq2(A_1,A_1,B_2,C_3) = B_2 ),
    inference(cnfTransformation,[status(thm)],[f_24]) ).

tff(c_4,plain,
    ! [A_4,B_5,C_6] : ( ifeq(A_4,A_4,B_5,C_6) = B_5 ),
    inference(cnfTransformation,[status(thm)],[f_26]) ).

tff(c_20,plain,
    ! [X_26,Y_27] : ( quotient(X_26,Y_27,divide(X_26,Y_27)) = true ),
    inference(cnfTransformation,[status(thm)],[f_42]) ).

tff(c_30,plain,
    ! [X_35] : ( quotient(X_35,zero,X_35) = true ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_646,plain,
    ! [X_93,Y_94,W_95,Z_96] : ( ifeq2(quotient(X_93,Y_94,W_95),true,ifeq2(quotient(X_93,Y_94,Z_96),true,Z_96,W_95),W_95) = W_95 ),
    inference(cnfTransformation,[status(thm)],[f_44]) ).

tff(c_688,plain,
    ! [X_35,W_95] : ( ifeq2(quotient(X_35,zero,W_95),true,ifeq2(true,true,X_35,W_95),W_95) = W_95 ),
    inference(superposition,[status(thm),theory(equality)],[c_30,c_646]) ).

tff(c_1269,plain,
    ! [X_124,W_125] : ( ifeq2(quotient(X_124,zero,W_125),true,X_124,W_125) = W_125 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_688]) ).

tff(c_1291,plain,
    ! [X_26] : ( ifeq2(true,true,X_26,divide(X_26,zero)) = divide(X_26,zero) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_1269]) ).

tff(c_1308,plain,
    ! [X_26] : ( divide(X_26,zero) = X_26 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_1291]) ).

tff(c_18,plain,
    ! [X_25] : ( less_equal(X_25,identity) = true ),
    inference(cnfTransformation,[status(thm)],[f_40]) ).

tff(c_42,plain,
    quotient(identity,idQa,idQ_idQa) = true,
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_1089,plain,
    ! [W1_118,Y_117,Z_119,W2_116,X_120] : ( ifeq(quotient(Y_117,Z_119,W2_116),true,ifeq(quotient(X_120,Z_119,W1_118),true,ifeq(less_equal(X_120,Y_117),true,less_equal(W1_118,W2_116),true),true),true) = true ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_1132,plain,
    ! [X_120,W1_118] : ( ifeq(true,true,ifeq(quotient(X_120,idQa,W1_118),true,ifeq(less_equal(X_120,identity),true,less_equal(W1_118,idQ_idQa),true),true),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_42,c_1089]) ).

tff(c_1839,plain,
    ! [X_143,W1_144] : ( ifeq(quotient(X_143,idQa,W1_144),true,less_equal(W1_144,idQ_idQa),true) = true ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_18,c_1132]) ).

tff(c_2014,plain,
    ! [X_147] : ( ifeq(true,true,less_equal(divide(X_147,idQa),idQ_idQa),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_1839]) ).

tff(c_2019,plain,
    ! [X_147] : ( less_equal(divide(X_147,idQa),idQ_idQa) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_2014,c_4]) ).

tff(c_951,plain,
    ! [Y_114,W1_110,Z_113,W2_111,X_112] : ( ifeq(quotient(X_112,Z_113,W2_111),true,ifeq(quotient(X_112,Y_114,W1_110),true,ifeq(less_equal(W1_110,Z_113),true,less_equal(W2_111,Y_114),true),true),true) = true ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_979,plain,
    ! [X_26,Z_113,W2_111,Y_27] : ( ifeq(quotient(X_26,Z_113,W2_111),true,ifeq(true,true,ifeq(less_equal(divide(X_26,Y_27),Z_113),true,less_equal(W2_111,Y_27),true),true),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_951]) ).

tff(c_21477,plain,
    ! [X_454,Z_455,W2_456,Y_457] : ( ifeq(quotient(X_454,Z_455,W2_456),true,ifeq(less_equal(divide(X_454,Y_457),Z_455),true,less_equal(W2_456,Y_457),true),true) = true ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_979]) ).

tff(c_21712,plain,
    ! [X_147,W2_456] : ( ifeq(quotient(X_147,idQ_idQa,W2_456),true,ifeq(true,true,less_equal(W2_456,idQa),true),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_2019,c_21477]) ).

tff(c_22521,plain,
    ! [X_465,W2_466] : ( ifeq(quotient(X_465,idQ_idQa,W2_466),true,less_equal(W2_466,idQa),true) = true ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_21712]) ).

tff(c_22689,plain,
    ! [X_467] : ( ifeq(true,true,less_equal(divide(X_467,idQ_idQa),idQa),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_22521]) ).

tff(c_22694,plain,
    ! [X_467] : ( less_equal(divide(X_467,idQ_idQa),idQa) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_22689,c_4]) ).

tff(c_174,plain,
    ! [X_68,Y_69,Z_70] : ( ifeq(quotient(X_68,Y_69,Z_70),true,less_equal(Z_70,X_68),true) = true ),
    inference(cnfTransformation,[status(thm)],[f_32]) ).

tff(c_216,plain,
    ! [X_71] : ( ifeq(true,true,less_equal(X_71,X_71),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_30,c_174]) ).

tff(c_221,plain,
    ! [X_71] : ( less_equal(X_71,X_71) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_216,c_4]) ).

tff(c_40,plain,
    quotient(identity,a,idQa) = true,
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_1015,plain,
    ! [Z_113,W2_111] : ( ifeq(quotient(identity,Z_113,W2_111),true,ifeq(true,true,ifeq(less_equal(idQa,Z_113),true,less_equal(W2_111,a),true),true),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_951]) ).

tff(c_14350,plain,
    ! [Z_385,W2_386] : ( ifeq(quotient(identity,Z_385,W2_386),true,ifeq(less_equal(idQa,Z_385),true,less_equal(W2_386,a),true),true) = true ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1015]) ).

tff(c_14413,plain,
    ifeq(true,true,ifeq(less_equal(idQa,idQa),true,less_equal(idQ_idQa,a),true),true) = true,
    inference(superposition,[status(thm),theory(equality)],[c_42,c_14350]) ).

tff(c_14448,plain,
    less_equal(idQ_idQa,a) = true,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_221,c_14413]) ).

tff(c_778,plain,
    ! [X_104,W2_102,Y_101,W1_103,Z_105] : ( ifeq(quotient(Z_105,Y_101,W1_103),true,ifeq(quotient(Z_105,X_104,W2_102),true,ifeq(less_equal(X_104,Y_101),true,less_equal(W1_103,W2_102),true),true),true) = true ),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_31750,plain,
    ! [X_564,W2_565] : ( ifeq(true,true,ifeq(quotient(identity,X_564,W2_565),true,ifeq(less_equal(X_564,a),true,less_equal(idQa,W2_565),true),true),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_40,c_778]) ).

tff(c_31781,plain,
    ! [W2_565] : ( ifeq(true,true,ifeq(quotient(identity,idQ_idQa,W2_565),true,ifeq(true,true,less_equal(idQa,W2_565),true),true),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_14448,c_31750]) ).

tff(c_32237,plain,
    ! [W2_569] : ( ifeq(quotient(identity,idQ_idQa,W2_569),true,less_equal(idQa,W2_569),true) = true ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_4,c_31781]) ).

tff(c_32275,plain,
    ifeq(true,true,less_equal(idQa,divide(identity,idQ_idQa)),true) = true,
    inference(superposition,[status(thm),theory(equality)],[c_20,c_32237]) ).

tff(c_32295,plain,
    less_equal(idQa,divide(identity,idQ_idQa)) = true,
    inference(superposition,[status(thm),theory(equality)],[c_32275,c_4]) ).

tff(c_16,plain,
    ! [Y_23,X_24] : ( ifeq2(less_equal(Y_23,X_24),true,ifeq2(less_equal(X_24,Y_23),true,X_24,Y_23),Y_23) = Y_23 ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_32470,plain,
    ifeq2(true,true,ifeq2(less_equal(divide(identity,idQ_idQa),idQa),true,divide(identity,idQ_idQa),idQa),idQa) = idQa,
    inference(superposition,[status(thm),theory(equality)],[c_32295,c_16]) ).

tff(c_32536,plain,
    divide(identity,idQ_idQa) = idQa,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_22694,c_32470]) ).

tff(c_32652,plain,
    quotient(identity,idQ_idQa,idQa) = true,
    inference(superposition,[status(thm),theory(equality)],[c_32536,c_20]) ).

tff(c_44,plain,
    quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa) = true,
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_28,plain,
    ! [X_34] : ( quotient(X_34,X_34,zero) = true ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_1403,plain,
    ! [Y_136,X_133,V4_129,Z_132,V3_134,V1_135,V5_131,V2_130] : ( ifeq(quotient(V3_134,V2_130,V4_129),true,ifeq(quotient(V1_135,Z_132,V5_131),true,ifeq(quotient(Y_136,Z_132,V2_130),true,ifeq(quotient(X_133,Z_132,V3_134),true,ifeq(quotient(X_133,Y_136,V1_135),true,less_equal(V4_129,V5_131),true),true),true),true),true) = true ),
    inference(cnfTransformation,[status(thm)],[f_34]) ).

tff(c_1473,plain,
    ! [X_133,V4_129,X_34,V3_134,V1_135,V5_131] : ( ifeq(quotient(V3_134,zero,V4_129),true,ifeq(quotient(V1_135,X_34,V5_131),true,ifeq(true,true,ifeq(quotient(X_133,X_34,V3_134),true,ifeq(quotient(X_133,X_34,V1_135),true,less_equal(V4_129,V5_131),true),true),true),true),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_28,c_1403]) ).

tff(c_72933,plain,
    ! [X_831,V3_830,V4_832,V5_829,X_827,V1_828] : ( ifeq(quotient(V3_830,zero,V4_832),true,ifeq(quotient(V1_828,X_831,V5_829),true,ifeq(quotient(X_827,X_831,V3_830),true,ifeq(quotient(X_827,X_831,V1_828),true,less_equal(V4_832,V5_829),true),true),true),true) = true ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1473]) ).

tff(c_73764,plain,
    ! [V3_830,V4_832,X_827] : ( ifeq(quotient(V3_830,zero,V4_832),true,ifeq(true,true,ifeq(quotient(X_827,idQ_idQa,V3_830),true,ifeq(quotient(X_827,idQ_idQa,idQa),true,less_equal(V4_832,idQa_Q__idQ_idQa),true),true),true),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_44,c_72933]) ).

tff(c_392564,plain,
    ! [V3_1864,V4_1865,X_1866] : ( ifeq(quotient(V3_1864,zero,V4_1865),true,ifeq(quotient(X_1866,idQ_idQa,V3_1864),true,ifeq(quotient(X_1866,idQ_idQa,idQa),true,less_equal(V4_1865,idQa_Q__idQ_idQa),true),true),true) = true ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_73764]) ).

tff(c_392817,plain,
    ! [V4_1865] : ( ifeq(quotient(idQa,zero,V4_1865),true,ifeq(true,true,ifeq(quotient(identity,idQ_idQa,idQa),true,less_equal(V4_1865,idQa_Q__idQ_idQa),true),true),true) = true ),
    inference(superposition,[status(thm),theory(equality)],[c_32652,c_392564]) ).

tff(c_393024,plain,
    ! [V4_1867] : ( ifeq(quotient(idQa,zero,V4_1867),true,less_equal(V4_1867,idQa_Q__idQ_idQa),true) = true ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_32652,c_4,c_392817]) ).

tff(c_393265,plain,
    ifeq(true,true,less_equal(divide(idQa,zero),idQa_Q__idQ_idQa),true) = true,
    inference(superposition,[status(thm),theory(equality)],[c_20,c_393024]) ).

tff(c_393345,plain,
    less_equal(idQa,idQa_Q__idQ_idQa) = true,
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_1308,c_393265]) ).

tff(c_202,plain,
    ifeq(true,true,less_equal(idQa_Q__idQ_idQa,idQa),true) = true,
    inference(superposition,[status(thm),theory(equality)],[c_44,c_174]) ).

tff(c_313,plain,
    less_equal(idQa_Q__idQ_idQa,idQa) = true,
    inference(superposition,[status(thm),theory(equality)],[c_202,c_4]) ).

tff(c_439,plain,
    ! [Y_82,X_83] : ( ifeq2(less_equal(Y_82,X_83),true,ifeq2(less_equal(X_83,Y_82),true,X_83,Y_82),Y_82) = Y_82 ),
    inference(cnfTransformation,[status(thm)],[f_38]) ).

tff(c_448,plain,
    ifeq2(true,true,ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa,idQa_Q__idQ_idQa),idQa_Q__idQ_idQa) = idQa_Q__idQ_idQa,
    inference(superposition,[status(thm),theory(equality)],[c_313,c_439]) ).

tff(c_4564,plain,
    ifeq2(less_equal(idQa,idQa_Q__idQ_idQa),true,idQa,idQa_Q__idQ_idQa) = idQa_Q__idQ_idQa,
    inference(superposition,[status(thm),theory(equality)],[c_448,c_2]) ).

tff(c_393349,plain,
    ifeq2(true,true,idQa,idQa_Q__idQ_idQa) = idQa_Q__idQ_idQa,
    inference(demodulation,[status(thm),theory(equality)],[c_393345,c_4564]) ).

tff(c_393353,plain,
    idQa_Q__idQ_idQa = idQa,
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_393349]) ).

tff(c_393355,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_46,c_393353]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : HEN010-10 : TPTP v8.1.2. Released v7.3.0.
% 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
% 0.18/0.36  % Computer : n013.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Thu Aug  3 13:05:02 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 101.58/87.61  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.58/87.63  
% 101.58/87.63  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 101.58/87.66  
% 101.58/87.66  Inference rules
% 101.58/87.66  ----------------------
% 101.58/87.66  #Ref     : 0
% 101.58/87.66  #Sup     : 98019
% 101.58/87.66  #Fact    : 0
% 101.58/87.66  #Define  : 0
% 101.58/87.66  #Split   : 0
% 101.58/87.66  #Chain   : 0
% 101.58/87.66  #Close   : 0
% 101.58/87.66  
% 101.58/87.66  Ordering : KBO
% 101.58/87.66  
% 101.58/87.66  Simplification rules
% 101.58/87.66  ----------------------
% 101.58/87.66  #Subsume      : 0
% 101.58/87.66  #Demod        : 175440
% 101.58/87.66  #Tautology    : 79463
% 101.58/87.66  #SimpNegUnit  : 1
% 101.58/87.66  #BackRed      : 212
% 101.58/87.67  
% 101.58/87.67  #Partial instantiations: 0
% 101.58/87.67  #Strategies tried      : 1
% 101.58/87.67  
% 101.58/87.67  Timing (in seconds)
% 101.58/87.67  ----------------------
% 101.58/87.67  Preprocessing        : 0.50
% 101.58/87.67  Parsing              : 0.28
% 101.58/87.67  CNF conversion       : 0.03
% 101.58/87.67  Main loop            : 86.08
% 101.58/87.67  Inferencing          : 5.31
% 101.58/87.67  Reduction            : 63.36
% 101.58/87.67  Demodulation         : 59.20
% 101.58/87.67  BG Simplification    : 0.23
% 101.58/87.67  Subsumption          : 15.21
% 101.58/87.67  Abstraction          : 0.42
% 101.58/87.67  MUC search           : 0.00
% 101.58/87.67  Cooper               : 0.00
% 101.58/87.67  Total                : 86.65
% 101.58/87.67  Index Insertion      : 0.00
% 101.58/87.67  Index Deletion       : 0.00
% 101.58/87.67  Index Matching       : 0.00
% 101.58/87.67  BG Taut test         : 0.00
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