TSTP Solution File: REL048+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : REL048+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 : 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 10:54:39 EDT 2023

% Result   : Theorem 5.81s 2.44s
% Output   : CNFRefutation 5.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  106 (  92 unt;  11 typ;   0 def)
%            Number of atoms       :   99 (  97 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   7   ~;   2   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   5   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   94 (;  94   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ meet > join > composition > #nlpp > converse > complement > zero > top > one > #skF_2 > #skF_3 > #skF_1

%Foreground sorts:

%Background operators:

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

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

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

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

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

tff('#skF_2',type,
    '#skF_2': $i ).

tff('#skF_3',type,
    '#skF_3': $i ).

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

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

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

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

tff(f_54,axiom,
    ! [X0,X1] : ( join(X0,X1) = join(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).

tff(f_90,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( join(join(X0,X1),X2) = X2 )
       => ( ( join(X0,X2) = X2 )
          & ( join(X1,X2) = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

tff(f_81,axiom,
    ! [X0] : ( zero = meet(X0,complement(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_zero) ).

tff(f_79,axiom,
    ! [X0] : ( top = join(X0,complement(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',def_top) ).

tff(f_60,axiom,
    ! [X0,X1] : ( meet(X0,X1) = complement(join(complement(X0),complement(X1))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux4_definiton_of_meet) ).

tff(f_58,axiom,
    ! [X0,X1] : ( X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).

tff(f_56,axiom,
    ! [X0,X1,X2] : ( join(X0,join(X1,X2)) = join(join(X0,X1),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).

tff(f_70,axiom,
    ! [X0] : ( converse(converse(X0)) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).

tff(f_65,axiom,
    ! [X0] : ( composition(X0,one) = X0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_identity) ).

tff(f_74,axiom,
    ! [X0,X1] : ( converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).

tff(f_63,axiom,
    ! [X0,X1,X2] : ( composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',composition_associativity) ).

tff(f_76,axiom,
    ! [X0,X1] : ( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001+0.ax',converse_cancellativity) ).

tff(c_2,plain,
    ! [X1_2,X0_1] : ( join(X1_2,X0_1) = join(X0_1,X1_2) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_28,plain,
    ( ( join('#skF_2','#skF_3') != '#skF_3' )
    | ( join('#skF_1','#skF_3') != '#skF_3' ) ),
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_32,plain,
    ( ( join('#skF_3','#skF_2') != '#skF_3' )
    | ( join('#skF_1','#skF_3') != '#skF_3' ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_28]) ).

tff(c_129,plain,
    join('#skF_1','#skF_3') != '#skF_3',
    inference(splitLeft,[status(thm)],[c_32]) ).

tff(c_77,plain,
    ! [X1_30,X0_31] : ( join(X1_30,X0_31) = join(X0_31,X1_30) ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_30,plain,
    join(join('#skF_1','#skF_2'),'#skF_3') = '#skF_3',
    inference(cnfTransformation,[status(thm)],[f_90]) ).

tff(c_92,plain,
    join('#skF_3',join('#skF_1','#skF_2')) = '#skF_3',
    inference(superposition,[status(thm),theory(equality)],[c_77,c_30]) ).

tff(c_26,plain,
    ! [X0_25] : ( meet(X0_25,complement(X0_25)) = zero ),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_24,plain,
    ! [X0_24] : ( join(X0_24,complement(X0_24)) = top ),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_145,plain,
    ! [X0_34,X1_35] : ( complement(join(complement(X0_34),complement(X1_35))) = meet(X0_34,X1_35) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_179,plain,
    ! [X0_34] : ( meet(X0_34,complement(X0_34)) = complement(top) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_145]) ).

tff(c_182,plain,
    complement(top) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_179]) ).

tff(c_8,plain,
    ! [X0_8,X1_9] : ( complement(join(complement(X0_8),complement(X1_9))) = meet(X0_8,X1_9) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_6,plain,
    ! [X0_6,X1_7] : ( join(complement(join(complement(X0_6),complement(X1_7))),complement(join(complement(X0_6),X1_7))) = X0_6 ),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_616,plain,
    ! [X0_51,X1_52] : ( join(meet(X0_51,X1_52),complement(join(complement(X0_51),X1_52))) = X0_51 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).

tff(c_673,plain,
    ! [X0_51] : ( join(meet(X0_51,complement(complement(X0_51))),complement(top)) = X0_51 ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_616]) ).

tff(c_682,plain,
    ! [X0_51] : ( join(zero,meet(X0_51,complement(complement(X0_51)))) = X0_51 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_182,c_673]) ).

tff(c_195,plain,
    join(top,zero) = top,
    inference(superposition,[status(thm),theory(equality)],[c_182,c_24]) ).

tff(c_273,plain,
    ! [X0_39,X1_40,X2_41] : ( join(join(X0_39,X1_40),X2_41) = join(X0_39,join(X1_40,X2_41)) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_568,plain,
    ! [X2_50] : ( join(top,join(zero,X2_50)) = join(top,X2_50) ),
    inference(superposition,[status(thm),theory(equality)],[c_195,c_273]) ).

tff(c_589,plain,
    join(top,complement(zero)) = join(top,top),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_568]) ).

tff(c_189,plain,
    ! [X0_8] : ( complement(join(complement(X0_8),zero)) = meet(X0_8,top) ),
    inference(superposition,[status(thm),theory(equality)],[c_182,c_8]) ).

tff(c_370,plain,
    ! [X0_42] : ( complement(join(zero,complement(X0_42))) = meet(X0_42,top) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_189]) ).

tff(c_419,plain,
    meet(zero,top) = complement(top),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_370]) ).

tff(c_423,plain,
    meet(zero,top) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_182,c_419]) ).

tff(c_637,plain,
    join(zero,complement(join(complement(zero),top))) = zero,
    inference(superposition,[status(thm),theory(equality)],[c_423,c_616]) ).

tff(c_679,plain,
    join(zero,complement(join(top,top))) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_589,c_2,c_637]) ).

tff(c_301,plain,
    ! [X2_41] : ( join(top,join(zero,X2_41)) = join(top,X2_41) ),
    inference(superposition,[status(thm),theory(equality)],[c_195,c_273]) ).

tff(c_702,plain,
    join(top,complement(join(top,top))) = join(top,zero),
    inference(superposition,[status(thm),theory(equality)],[c_679,c_301]) ).

tff(c_714,plain,
    join(top,complement(join(top,top))) = top,
    inference(demodulation,[status(thm),theory(equality)],[c_195,c_702]) ).

tff(c_198,plain,
    ! [X0_8] : ( complement(join(zero,complement(X0_8))) = meet(X0_8,top) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_189]) ).

tff(c_705,plain,
    meet(join(top,top),top) = complement(zero),
    inference(superposition,[status(thm),theory(equality)],[c_679,c_198]) ).

tff(c_31,plain,
    ! [X0_6,X1_7] : ( join(meet(X0_6,X1_7),complement(join(complement(X0_6),X1_7))) = X0_6 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).

tff(c_791,plain,
    join(complement(zero),complement(join(complement(join(top,top)),top))) = join(top,top),
    inference(superposition,[status(thm),theory(equality)],[c_705,c_31]) ).

tff(c_800,plain,
    join(top,top) = top,
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_182,c_2,c_714,c_2,c_791]) ).

tff(c_807,plain,
    join(zero,complement(top)) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_800,c_679]) ).

tff(c_810,plain,
    join(zero,zero) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_182,c_807]) ).

tff(c_4,plain,
    ! [X0_3,X1_4,X2_5] : ( join(join(X0_3,X1_4),X2_5) = join(X0_3,join(X1_4,X2_5)) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_1176,plain,
    ! [X2_65] : ( join(zero,join(zero,X2_65)) = join(zero,X2_65) ),
    inference(superposition,[status(thm),theory(equality)],[c_810,c_4]) ).

tff(c_1200,plain,
    ! [X0_51] : ( join(zero,meet(X0_51,complement(complement(X0_51)))) = join(zero,X0_51) ),
    inference(superposition,[status(thm),theory(equality)],[c_682,c_1176]) ).

tff(c_1226,plain,
    ! [X0_51] : ( join(zero,X0_51) = X0_51 ),
    inference(demodulation,[status(thm),theory(equality)],[c_682,c_1200]) ).

tff(c_1298,plain,
    ! [X1_67,X0_68] : ( complement(join(complement(X1_67),complement(X0_68))) = meet(X0_68,X1_67) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_145]) ).

tff(c_1346,plain,
    ! [X0_68] : ( complement(join(zero,complement(X0_68))) = meet(X0_68,top) ),
    inference(superposition,[status(thm),theory(equality)],[c_182,c_1298]) ).

tff(c_1372,plain,
    ! [X0_68] : ( complement(complement(X0_68)) = meet(X0_68,top) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1226,c_1346]) ).

tff(c_16,plain,
    ! [X0_17] : ( converse(converse(X0_17)) = X0_17 ),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_12,plain,
    ! [X0_13] : ( composition(X0_13,one) = X0_13 ),
    inference(cnfTransformation,[status(thm)],[f_65]) ).

tff(c_130,plain,
    ! [X1_32,X0_33] : ( composition(converse(X1_32),converse(X0_33)) = converse(composition(X0_33,X1_32)) ),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_1514,plain,
    ! [X0_71,X1_72] : ( converse(composition(converse(X0_71),X1_72)) = composition(converse(X1_72),X0_71) ),
    inference(superposition,[status(thm),theory(equality)],[c_16,c_130]) ).

tff(c_1555,plain,
    ! [X0_71] : ( composition(converse(one),X0_71) = converse(converse(X0_71)) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_1514]) ).

tff(c_1568,plain,
    ! [X0_71] : ( composition(converse(one),X0_71) = X0_71 ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_1555]) ).

tff(c_1655,plain,
    ! [X0_75] : ( composition(converse(one),X0_75) = X0_75 ),
    inference(demodulation,[status(thm),theory(equality)],[c_16,c_1555]) ).

tff(c_428,plain,
    ! [X0_43,X1_44,X2_45] : ( composition(composition(X0_43,X1_44),X2_45) = composition(X0_43,composition(X1_44,X2_45)) ),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_450,plain,
    ! [X0_13,X2_45] : ( composition(X0_13,composition(one,X2_45)) = composition(X0_13,X2_45) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_428]) ).

tff(c_1678,plain,
    ! [X2_45] : ( composition(converse(one),X2_45) = composition(one,X2_45) ),
    inference(superposition,[status(thm),theory(equality)],[c_1655,c_450]) ).

tff(c_1708,plain,
    ! [X2_45] : ( composition(one,X2_45) = X2_45 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1568,c_1678]) ).

tff(c_1689,plain,
    converse(one) = one,
    inference(superposition,[status(thm),theory(equality)],[c_1655,c_12]) ).

tff(c_1798,plain,
    ! [X2_78] : ( composition(one,X2_78) = X2_78 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1568,c_1678]) ).

tff(c_22,plain,
    ! [X0_22,X1_23] : ( join(composition(converse(X0_22),complement(composition(X0_22,X1_23))),complement(X1_23)) = complement(X1_23) ),
    inference(cnfTransformation,[status(thm)],[f_76]) ).

tff(c_1810,plain,
    ! [X2_78] : ( join(composition(converse(one),complement(X2_78)),complement(X2_78)) = complement(X2_78) ),
    inference(superposition,[status(thm),theory(equality)],[c_1798,c_22]) ).

tff(c_2457,plain,
    ! [X2_90] : ( join(complement(X2_90),complement(X2_90)) = complement(X2_90) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1708,c_2,c_1689,c_1810]) ).

tff(c_2466,plain,
    ! [X2_90] : ( join(meet(X2_90,complement(X2_90)),complement(complement(X2_90))) = X2_90 ),
    inference(superposition,[status(thm),theory(equality)],[c_2457,c_31]) ).

tff(c_2514,plain,
    ! [X2_90] : ( meet(X2_90,top) = X2_90 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1372,c_1226,c_26,c_2466]) ).

tff(c_2530,plain,
    ! [X0_68] : ( complement(complement(X0_68)) = X0_68 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2514,c_1372]) ).

tff(c_2783,plain,
    ! [X0_94] : ( complement(complement(X0_94)) = X0_94 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2514,c_1372]) ).

tff(c_1826,plain,
    ! [X2_78] : ( join(complement(X2_78),complement(X2_78)) = complement(X2_78) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1708,c_2,c_1689,c_1810]) ).

tff(c_2792,plain,
    ! [X0_94] : ( join(X0_94,complement(complement(X0_94))) = complement(complement(X0_94)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2783,c_1826]) ).

tff(c_2941,plain,
    ! [X0_96] : ( join(X0_96,X0_96) = X0_96 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2530,c_2530,c_2792]) ).

tff(c_307,plain,
    ! [X2_41] : ( join('#skF_3',join(join('#skF_1','#skF_2'),X2_41)) = join('#skF_3',X2_41) ),
    inference(superposition,[status(thm),theory(equality)],[c_92,c_273]) ).

tff(c_340,plain,
    ! [X2_41] : ( join('#skF_3',join('#skF_1',join('#skF_2',X2_41))) = join('#skF_3',X2_41) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_307]) ).

tff(c_2967,plain,
    join('#skF_3',join('#skF_1','#skF_2')) = join('#skF_3','#skF_2'),
    inference(superposition,[status(thm),theory(equality)],[c_2941,c_340]) ).

tff(c_3052,plain,
    join('#skF_3','#skF_2') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_92,c_2967]) ).

tff(c_288,plain,
    join('#skF_1',join('#skF_2','#skF_3')) = '#skF_3',
    inference(superposition,[status(thm),theory(equality)],[c_273,c_30]) ).

tff(c_337,plain,
    join('#skF_1',join('#skF_3','#skF_2')) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_288]) ).

tff(c_3156,plain,
    join('#skF_1','#skF_3') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_3052,c_337]) ).

tff(c_3158,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_129,c_3156]) ).

tff(c_3159,plain,
    join('#skF_3','#skF_2') != '#skF_3',
    inference(splitRight,[status(thm)],[c_32]) ).

tff(c_3160,plain,
    join('#skF_1','#skF_3') = '#skF_3',
    inference(splitRight,[status(thm)],[c_32]) ).

tff(c_3550,plain,
    ! [X0_115,X1_116,X2_117] : ( join(join(X0_115,X1_116),X2_117) = join(X0_115,join(X1_116,X2_117)) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_3724,plain,
    ! [X2_122] : ( join('#skF_1',join('#skF_3',X2_122)) = join('#skF_3',X2_122) ),
    inference(superposition,[status(thm),theory(equality)],[c_3160,c_3550]) ).

tff(c_3565,plain,
    join('#skF_1',join('#skF_2','#skF_3')) = '#skF_3',
    inference(superposition,[status(thm),theory(equality)],[c_3550,c_30]) ).

tff(c_3623,plain,
    join('#skF_1',join('#skF_3','#skF_2')) = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_3565]) ).

tff(c_3730,plain,
    join('#skF_3','#skF_2') = '#skF_3',
    inference(superposition,[status(thm),theory(equality)],[c_3724,c_3623]) ).

tff(c_3757,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3159,c_3730]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : REL048+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
% 0.16/0.36  % Computer : n013.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Thu Aug  3 15:37:17 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 5.81/2.44  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.81/2.45  
% 5.81/2.45  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.81/2.49  
% 5.81/2.49  Inference rules
% 5.81/2.49  ----------------------
% 5.81/2.49  #Ref     : 0
% 5.81/2.49  #Sup     : 967
% 5.81/2.49  #Fact    : 0
% 5.81/2.49  #Define  : 0
% 5.81/2.49  #Split   : 1
% 5.81/2.49  #Chain   : 0
% 5.81/2.49  #Close   : 0
% 5.81/2.49  
% 5.81/2.49  Ordering : KBO
% 5.81/2.49  
% 5.81/2.49  Simplification rules
% 5.81/2.49  ----------------------
% 5.81/2.49  #Subsume      : 15
% 5.81/2.49  #Demod        : 714
% 5.81/2.49  #Tautology    : 546
% 5.81/2.49  #SimpNegUnit  : 2
% 5.81/2.49  #BackRed      : 23
% 5.81/2.49  
% 5.81/2.49  #Partial instantiations: 0
% 5.81/2.49  #Strategies tried      : 1
% 5.81/2.49  
% 5.81/2.49  Timing (in seconds)
% 5.81/2.49  ----------------------
% 5.81/2.50  Preprocessing        : 0.47
% 5.81/2.50  Parsing              : 0.25
% 5.81/2.50  CNF conversion       : 0.03
% 5.81/2.50  Main loop            : 0.93
% 5.81/2.50  Inferencing          : 0.30
% 5.81/2.50  Reduction            : 0.37
% 5.81/2.50  Demodulation         : 0.30
% 5.81/2.50  BG Simplification    : 0.04
% 5.81/2.50  Subsumption          : 0.16
% 5.81/2.50  Abstraction          : 0.04
% 5.81/2.50  MUC search           : 0.00
% 5.81/2.50  Cooper               : 0.00
% 5.81/2.50  Total                : 1.47
% 5.81/2.50  Index Insertion      : 0.00
% 5.81/2.50  Index Deletion       : 0.00
% 5.81/2.50  Index Matching       : 0.00
% 5.81/2.50  BG Taut test         : 0.00
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