TSTP Solution File: REL046+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : REL046+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n011.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 10:54:38 EDT 2023

% Result   : Theorem 17.42s 6.79s
% Output   : CNFRefutation 17.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   18
% Syntax   : Number of formulae    :  102 (  89 unt;  11 typ;   0 def)
%            Number of atoms       :   94 (  92 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   5   ~;   1   |;   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   :  103 (; 103   !;   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_90,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( join(X0,meet(X1,X2)) = meet(X1,X2) )
       => ( ( join(X0,X1) = X1 )
          & ( join(X0,X2) = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

tff(f_54,axiom,
    ! [X0,X1] : ( join(X0,X1) = join(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux1_join_commutativity) ).

tff(f_60,axiom,
    ! [X0,X1] : ( meet(X0,X1) = complement(join(complement(X0),complement(X1))) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/REL001+0.ax',maddux3_a_kind_of_de_Morgan) ).

tff(f_81,axiom,
    ! [X0] : ( zero = meet(X0,complement(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_zero) ).

tff(f_79,axiom,
    ! [X0] : ( top = join(X0,complement(X0)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',def_top) ).

tff(f_56,axiom,
    ! [X0,X1,X2] : ( join(X0,join(X1,X2)) = join(join(X0,X1),X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',maddux2_join_associativity) ).

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

tff(c_105,plain,
    join('#skF_1','#skF_2') != '#skF_2',
    inference(splitLeft,[status(thm)],[c_28]) ).

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_137,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_2369,plain,
    ! [X1_86,X0_87] : ( complement(join(complement(X1_86),complement(X0_87))) = meet(X0_87,X1_86) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_137]) ).

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_2411,plain,
    ! [X1_86,X0_87] : ( meet(X1_86,X0_87) = meet(X0_87,X1_86) ),
    inference(superposition,[status(thm),theory(equality)],[c_2369,c_8]) ).

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_496,plain,
    ! [X0_46,X1_47] : ( join(meet(X0_46,X1_47),complement(join(complement(X0_46),X1_47))) = X0_46 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).

tff(c_535,plain,
    ! [X0_8,X1_9] : ( join(meet(X0_8,complement(X1_9)),meet(X0_8,X1_9)) = X0_8 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_496]) ).

tff(c_5332,plain,
    ! [X0_121,X1_122] : ( join(meet(X0_121,complement(X1_122)),meet(X0_121,X1_122)) = X0_121 ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_496]) ).

tff(c_5432,plain,
    ! [X0_121,X1_122] : ( join(meet(X0_121,X1_122),meet(X0_121,complement(X1_122))) = X0_121 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_5332]) ).

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_171,plain,
    ! [X0_34] : ( meet(X0_34,complement(X0_34)) = complement(top) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_137]) ).

tff(c_174,plain,
    complement(top) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_26,c_171]) ).

tff(c_550,plain,
    ! [X0_46] : ( join(meet(X0_46,complement(complement(X0_46))),complement(top)) = X0_46 ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_496]) ).

tff(c_558,plain,
    ! [X0_46] : ( join(zero,meet(X0_46,complement(complement(X0_46)))) = X0_46 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_174,c_550]) ).

tff(c_187,plain,
    join(top,zero) = top,
    inference(superposition,[status(thm),theory(equality)],[c_174,c_24]) ).

tff(c_355,plain,
    ! [X0_41,X1_42,X2_43] : ( join(join(X0_41,X1_42),X2_43) = join(X0_41,join(X1_42,X2_43)) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_412,plain,
    ! [X2_44] : ( join(top,join(zero,X2_44)) = join(top,X2_44) ),
    inference(superposition,[status(thm),theory(equality)],[c_187,c_355]) ).

tff(c_433,plain,
    join(top,complement(zero)) = join(top,top),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_412]) ).

tff(c_181,plain,
    ! [X0_8] : ( complement(join(complement(X0_8),zero)) = meet(X0_8,top) ),
    inference(superposition,[status(thm),theory(equality)],[c_174,c_8]) ).

tff(c_272,plain,
    ! [X0_39] : ( complement(join(zero,complement(X0_39))) = meet(X0_39,top) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_181]) ).

tff(c_321,plain,
    meet(zero,top) = complement(top),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_272]) ).

tff(c_325,plain,
    meet(zero,top) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_174,c_321]) ).

tff(c_514,plain,
    join(zero,complement(join(complement(zero),top))) = zero,
    inference(superposition,[status(thm),theory(equality)],[c_325,c_496]) ).

tff(c_555,plain,
    join(zero,complement(join(top,top))) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_433,c_2,c_514]) ).

tff(c_380,plain,
    ! [X2_43] : ( join(top,join(zero,X2_43)) = join(top,X2_43) ),
    inference(superposition,[status(thm),theory(equality)],[c_187,c_355]) ).

tff(c_578,plain,
    join(top,complement(join(top,top))) = join(top,zero),
    inference(superposition,[status(thm),theory(equality)],[c_555,c_380]) ).

tff(c_590,plain,
    join(top,complement(join(top,top))) = top,
    inference(demodulation,[status(thm),theory(equality)],[c_187,c_578]) ).

tff(c_190,plain,
    ! [X0_8] : ( complement(join(zero,complement(X0_8))) = meet(X0_8,top) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2,c_181]) ).

tff(c_584,plain,
    meet(join(top,top),top) = complement(zero),
    inference(superposition,[status(thm),theory(equality)],[c_555,c_190]) ).

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_648,plain,
    join(complement(zero),complement(join(complement(join(top,top)),top))) = join(top,top),
    inference(superposition,[status(thm),theory(equality)],[c_584,c_31]) ).

tff(c_657,plain,
    join(top,top) = top,
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_174,c_2,c_590,c_2,c_648]) ).

tff(c_664,plain,
    join(zero,complement(top)) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_657,c_555]) ).

tff(c_667,plain,
    join(zero,zero) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_174,c_664]) ).

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_1195,plain,
    ! [X2_66] : ( join(zero,join(zero,X2_66)) = join(zero,X2_66) ),
    inference(superposition,[status(thm),theory(equality)],[c_667,c_4]) ).

tff(c_1219,plain,
    ! [X0_46] : ( join(zero,meet(X0_46,complement(complement(X0_46)))) = join(zero,X0_46) ),
    inference(superposition,[status(thm),theory(equality)],[c_558,c_1195]) ).

tff(c_1245,plain,
    ! [X0_46] : ( join(zero,X0_46) = X0_46 ),
    inference(demodulation,[status(thm),theory(equality)],[c_558,c_1219]) ).

tff(c_178,plain,
    ! [X1_9] : ( complement(join(zero,complement(X1_9))) = meet(top,X1_9) ),
    inference(superposition,[status(thm),theory(equality)],[c_174,c_8]) ).

tff(c_1265,plain,
    ! [X1_9] : ( complement(complement(X1_9)) = meet(top,X1_9) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1245,c_178]) ).

tff(c_1266,plain,
    ! [X0_67] : ( join(zero,X0_67) = X0_67 ),
    inference(demodulation,[status(thm),theory(equality)],[c_558,c_1219]) ).

tff(c_1312,plain,
    ! [X0_46] : ( meet(X0_46,complement(complement(X0_46))) = X0_46 ),
    inference(superposition,[status(thm),theory(equality)],[c_558,c_1266]) ).

tff(c_1918,plain,
    ! [X0_46] : ( meet(X0_46,meet(top,X0_46)) = X0_46 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1265,c_1312]) ).

tff(c_2469,plain,
    ! [X1_86] : ( meet(complement(X1_86),X1_86) = complement(top) ),
    inference(superposition,[status(thm),theory(equality)],[c_24,c_2369]) ).

tff(c_2480,plain,
    ! [X1_88] : ( meet(complement(X1_88),X1_88) = zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_174,c_2469]) ).

tff(c_2725,plain,
    ! [X1_92] : ( meet(meet(top,X1_92),complement(X1_92)) = zero ),
    inference(superposition,[status(thm),theory(equality)],[c_1265,c_2480]) ).

tff(c_2736,plain,
    ! [X1_92] : ( join(zero,complement(join(complement(meet(top,X1_92)),complement(X1_92)))) = meet(top,X1_92) ),
    inference(superposition,[status(thm),theory(equality)],[c_2725,c_31]) ).

tff(c_2793,plain,
    ! [X1_92] : ( meet(top,X1_92) = X1_92 ),
    inference(demodulation,[status(thm),theory(equality)],[c_1918,c_1245,c_8,c_2,c_2736]) ).

tff(c_2807,plain,
    ! [X1_9] : ( complement(complement(X1_9)) = X1_9 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2793,c_1265]) ).

tff(c_2493,plain,
    ! [X1_88] : ( join(zero,complement(join(complement(complement(X1_88)),X1_88))) = complement(X1_88) ),
    inference(superposition,[status(thm),theory(equality)],[c_2480,c_31]) ).

tff(c_2525,plain,
    ! [X1_88] : ( complement(join(X1_88,meet(top,X1_88))) = complement(X1_88) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1265,c_1245,c_2,c_2493]) ).

tff(c_4330,plain,
    ! [X1_110] : ( complement(join(X1_110,X1_110)) = complement(X1_110) ),
    inference(demodulation,[status(thm),theory(equality)],[c_2793,c_2525]) ).

tff(c_4348,plain,
    ! [X1_110] : ( join(X1_110,X1_110) = complement(complement(X1_110)) ),
    inference(superposition,[status(thm),theory(equality)],[c_4330,c_2807]) ).

tff(c_4430,plain,
    ! [X1_110] : ( join(X1_110,X1_110) = X1_110 ),
    inference(demodulation,[status(thm),theory(equality)],[c_2807,c_4348]) ).

tff(c_8985,plain,
    ! [X1_157,X0_158,X1_159] : ( join(X1_157,join(X0_158,X1_159)) = join(X0_158,join(X1_159,X1_157)) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_355]) ).

tff(c_36012,plain,
    ! [X1_322,X1_323] : ( join(X1_322,join(X1_322,X1_323)) = join(X1_323,X1_322) ),
    inference(superposition,[status(thm),theory(equality)],[c_4430,c_8985]) ).

tff(c_36359,plain,
    ! [X0_121,X1_122] : ( join(meet(X0_121,complement(X1_122)),meet(X0_121,X1_122)) = join(meet(X0_121,X1_122),X0_121) ),
    inference(superposition,[status(thm),theory(equality)],[c_5432,c_36012]) ).

tff(c_36985,plain,
    ! [X0_324,X1_325] : ( join(X0_324,meet(X0_324,X1_325)) = X0_324 ),
    inference(demodulation,[status(thm),theory(equality)],[c_535,c_2,c_36359]) ).

tff(c_37436,plain,
    ! [X1_86,X0_87] : ( join(X1_86,meet(X0_87,X1_86)) = X1_86 ),
    inference(superposition,[status(thm),theory(equality)],[c_2411,c_36985]) ).

tff(c_37982,plain,
    ! [X1_327,X0_328] : ( join(X1_327,meet(X0_328,X1_327)) = X1_327 ),
    inference(superposition,[status(thm),theory(equality)],[c_2411,c_36985]) ).

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

tff(c_2536,plain,
    join('#skF_1',meet('#skF_3','#skF_2')) = meet('#skF_3','#skF_2'),
    inference(demodulation,[status(thm),theory(equality)],[c_2411,c_2411,c_30]) ).

tff(c_10541,plain,
    ! [X1_166] : ( join('#skF_1',join(meet('#skF_3','#skF_2'),X1_166)) = join(X1_166,meet('#skF_3','#skF_2')) ),
    inference(superposition,[status(thm),theory(equality)],[c_2536,c_8985]) ).

tff(c_10671,plain,
    ! [X1_2] : ( join('#skF_1',join(X1_2,meet('#skF_3','#skF_2'))) = join(X1_2,meet('#skF_3','#skF_2')) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_10541]) ).

tff(c_38003,plain,
    join('#skF_2',meet('#skF_3','#skF_2')) = join('#skF_1','#skF_2'),
    inference(superposition,[status(thm),theory(equality)],[c_37982,c_10671]) ).

tff(c_38464,plain,
    join('#skF_1','#skF_2') = '#skF_2',
    inference(demodulation,[status(thm),theory(equality)],[c_37436,c_38003]) ).

tff(c_38466,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_105,c_38464]) ).

tff(c_38467,plain,
    join('#skF_1','#skF_3') != '#skF_3',
    inference(splitRight,[status(thm)],[c_28]) ).

tff(c_38962,plain,
    ! [X0_349,X1_350] : ( join(meet(X0_349,X1_350),complement(join(complement(X0_349),X1_350))) = X0_349 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_6]) ).

tff(c_39009,plain,
    ! [X0_349,X1_2] : ( join(meet(X0_349,X1_2),complement(join(X1_2,complement(X0_349)))) = X0_349 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_38962]) ).

tff(c_48815,plain,
    ! [X0_463,X1_464] : ( join(meet(X0_463,X1_464),complement(join(X1_464,complement(X0_463)))) = X0_463 ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_38962]) ).

tff(c_38519,plain,
    ! [X0_333,X1_334] : ( complement(join(complement(X0_333),complement(X1_334))) = meet(X0_333,X1_334) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_41918,plain,
    ! [X1_397,X0_398] : ( complement(join(complement(X1_397),complement(X0_398))) = meet(X0_398,X1_397) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_38519]) ).

tff(c_41972,plain,
    ! [X1_397,X0_398] : ( meet(X1_397,X0_398) = meet(X0_398,X1_397) ),
    inference(superposition,[status(thm),theory(equality)],[c_41918,c_8]) ).

tff(c_38710,plain,
    ! [X0_341,X1_342,X2_343] : ( join(join(X0_341,X1_342),X2_343) = join(X0_341,join(X1_342,X2_343)) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_38741,plain,
    ! [X2_343] : ( join('#skF_1',join(meet('#skF_2','#skF_3'),X2_343)) = join(meet('#skF_2','#skF_3'),X2_343) ),
    inference(superposition,[status(thm),theory(equality)],[c_30,c_38710]) ).

tff(c_42133,plain,
    ! [X2_343] : ( join('#skF_1',join(meet('#skF_3','#skF_2'),X2_343)) = join(meet('#skF_3','#skF_2'),X2_343) ),
    inference(demodulation,[status(thm),theory(equality)],[c_41972,c_41972,c_38741]) ).

tff(c_48853,plain,
    join(meet('#skF_3','#skF_2'),complement(join('#skF_2',complement('#skF_3')))) = join('#skF_1','#skF_3'),
    inference(superposition,[status(thm),theory(equality)],[c_48815,c_42133]) ).

tff(c_48993,plain,
    join('#skF_1','#skF_3') = '#skF_3',
    inference(demodulation,[status(thm),theory(equality)],[c_39009,c_48853]) ).

tff(c_48995,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_38467,c_48993]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : REL046+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.37  % Computer : n011.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Thu Aug  3 15:39:06 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 17.42/6.79  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.42/6.80  
% 17.42/6.80  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 17.42/6.84  
% 17.42/6.84  Inference rules
% 17.42/6.84  ----------------------
% 17.42/6.84  #Ref     : 0
% 17.42/6.84  #Sup     : 12263
% 17.42/6.84  #Fact    : 0
% 17.42/6.84  #Define  : 0
% 17.42/6.84  #Split   : 1
% 17.42/6.84  #Chain   : 0
% 17.42/6.84  #Close   : 0
% 17.42/6.84  
% 17.42/6.84  Ordering : KBO
% 17.42/6.84  
% 17.42/6.84  Simplification rules
% 17.42/6.84  ----------------------
% 17.42/6.84  #Subsume      : 257
% 17.42/6.84  #Demod        : 16855
% 17.42/6.84  #Tautology    : 7561
% 17.42/6.84  #SimpNegUnit  : 2
% 17.42/6.84  #BackRed      : 97
% 17.42/6.84  
% 17.42/6.84  #Partial instantiations: 0
% 17.42/6.84  #Strategies tried      : 1
% 17.42/6.84  
% 17.42/6.84  Timing (in seconds)
% 17.42/6.84  ----------------------
% 17.42/6.84  Preprocessing        : 0.47
% 17.42/6.84  Parsing              : 0.26
% 17.42/6.84  CNF conversion       : 0.03
% 17.42/6.84  Main loop            : 5.28
% 17.42/6.84  Inferencing          : 0.96
% 17.42/6.85  Reduction            : 3.19
% 17.42/6.85  Demodulation         : 2.90
% 17.42/6.85  BG Simplification    : 0.09
% 17.42/6.85  Subsumption          : 0.77
% 17.42/6.85  Abstraction          : 0.14
% 17.42/6.85  MUC search           : 0.00
% 17.42/6.85  Cooper               : 0.00
% 17.42/6.85  Total                : 5.81
% 17.42/6.85  Index Insertion      : 0.00
% 17.42/6.85  Index Deletion       : 0.00
% 17.42/6.85  Index Matching       : 0.00
% 17.42/6.85  BG Taut test         : 0.00
%------------------------------------------------------------------------------