TSTP Solution File: LAT237-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : LAT237-1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n020.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 10:46:30 EDT 2023

% Result   : Unsatisfiable 273.65s 235.90s
% Output   : CNFRefutation 273.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  103 (  80 unt;   7 typ;   0 def)
%            Number of atoms       :  117 ( 116 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  24   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   3   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  168 (; 168   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ meet > join > #nlpp > complement > zero > one > b > a

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

tff(f_58,axiom,
    ! [X,Y] : ( join(X,Y) = join(Y,X) ),
    file(unknown,unknown) ).

tff(f_104,axiom,
    join(complement(b),complement(a)) != complement(a),
    file(unknown,unknown) ).

tff(f_87,axiom,
    ! [X] : ( join(X,complement(X)) = one ),
    file(unknown,unknown) ).

tff(f_52,axiom,
    ! [X,Y] : ( meet(X,join(X,Y)) = X ),
    file(unknown,unknown) ).

tff(f_56,axiom,
    ! [X,Y] : ( meet(X,Y) = meet(Y,X) ),
    file(unknown,unknown) ).

tff(f_62,axiom,
    ! [X,Y,Z] : ( join(join(X,Y),Z) = join(X,join(Y,Z)) ),
    file(unknown,unknown) ).

tff(f_89,axiom,
    ! [X] : ( meet(X,complement(X)) = zero ),
    file(unknown,unknown) ).

tff(f_54,axiom,
    ! [X,Y] : ( join(X,meet(X,Y)) = X ),
    file(unknown,unknown) ).

tff(f_97,axiom,
    ! [X,Y] :
      ( ( meet(X,Y) != zero )
      | ( join(X,Y) != one )
      | ( complement(X) = Y ) ),
    file(unknown,unknown) ).

tff(f_48,axiom,
    ! [X] : ( meet(X,X) = X ),
    file(unknown,unknown) ).

tff(f_60,axiom,
    ! [X,Y,Z] : ( meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ),
    file(unknown,unknown) ).

tff(f_50,axiom,
    ! [X] : ( join(X,X) = X ),
    file(unknown,unknown) ).

tff(f_101,axiom,
    ! [X,Y,Z,U] : ( meet(X,join(Y,meet(Z,join(X,U)))) = meet(X,join(Y,meet(Z,join(U,meet(Z,join(X,Y)))))) ),
    file(unknown,unknown) ).

tff(f_102,axiom,
    meet(b,a) = a,
    file(unknown,unknown) ).

tff(c_12,plain,
    ! [Y_10,X_9] : ( join(Y_10,X_9) = join(X_9,Y_10) ),
    inference(cnfTransformation,[status(thm)],[f_58]) ).

tff(c_28,plain,
    join(complement(b),complement(a)) != complement(a),
    inference(cnfTransformation,[status(thm)],[f_104]) ).

tff(c_29,plain,
    join(complement(a),complement(b)) != complement(a),
    inference(demodulation,[status(thm),theory(equality)],[c_12,c_28]) ).

tff(c_18,plain,
    ! [X_17] : ( join(X_17,complement(X_17)) = one ),
    inference(cnfTransformation,[status(thm)],[f_87]) ).

tff(c_149,plain,
    ! [X_33,Y_34] : ( meet(X_33,join(X_33,Y_34)) = X_33 ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_172,plain,
    ! [X_35] : ( meet(X_35,one) = X_35 ),
    inference(superposition,[status(thm),theory(equality)],[c_18,c_149]) ).

tff(c_10,plain,
    ! [Y_8,X_7] : ( meet(Y_8,X_7) = meet(X_7,Y_8) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_206,plain,
    ! [X_36] : ( meet(one,X_36) = X_36 ),
    inference(superposition,[status(thm),theory(equality)],[c_172,c_10]) ).

tff(c_6,plain,
    ! [X_3,Y_4] : ( meet(X_3,join(X_3,Y_4)) = X_3 ),
    inference(cnfTransformation,[status(thm)],[f_52]) ).

tff(c_217,plain,
    ! [Y_4] : ( join(one,Y_4) = one ),
    inference(superposition,[status(thm),theory(equality)],[c_206,c_6]) ).

tff(c_570,plain,
    ! [X_44,Y_45,Z_46] : ( join(join(X_44,Y_45),Z_46) = join(X_44,join(Y_45,Z_46)) ),
    inference(cnfTransformation,[status(thm)],[f_62]) ).

tff(c_647,plain,
    ! [X_17,Z_46] : ( join(X_17,join(complement(X_17),Z_46)) = join(one,Z_46) ),
    inference(superposition,[status(thm),theory(equality)],[c_18,c_570]) ).

tff(c_4311,plain,
    ! [X_17,Z_46] : ( join(X_17,join(complement(X_17),Z_46)) = one ),
    inference(demodulation,[status(thm),theory(equality)],[c_217,c_647]) ).

tff(c_20,plain,
    ! [X_18] : ( meet(X_18,complement(X_18)) = zero ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_280,plain,
    ! [X_37,Y_38] : ( join(X_37,meet(X_37,Y_38)) = X_37 ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_307,plain,
    ! [Y_8,X_7] : ( join(Y_8,meet(X_7,Y_8)) = Y_8 ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_280]) ).

tff(c_8,plain,
    ! [X_5,Y_6] : ( join(X_5,meet(X_5,Y_6)) = X_5 ),
    inference(cnfTransformation,[status(thm)],[f_54]) ).

tff(c_20738,plain,
    ! [X_202,Y_203,Y_204] : ( join(X_202,join(Y_203,meet(join(X_202,Y_203),Y_204))) = join(X_202,Y_203) ),
    inference(superposition,[status(thm),theory(equality)],[c_570,c_8]) ).

tff(c_21112,plain,
    ! [Y_8,X_7,Y_204] : ( join(Y_8,join(meet(X_7,Y_8),meet(Y_8,Y_204))) = join(Y_8,meet(X_7,Y_8)) ),
    inference(superposition,[status(thm),theory(equality)],[c_307,c_20738]) ).

tff(c_21284,plain,
    ! [Y_8,X_7,Y_204] : ( join(Y_8,join(meet(X_7,Y_8),meet(Y_8,Y_204))) = Y_8 ),
    inference(demodulation,[status(thm),theory(equality)],[c_307,c_21112]) ).

tff(c_310,plain,
    ! [X_18] : ( join(X_18,zero) = X_18 ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_280]) ).

tff(c_178,plain,
    ! [X_35] : ( meet(one,X_35) = X_35 ),
    inference(superposition,[status(thm),theory(equality)],[c_172,c_10]) ).

tff(c_325,plain,
    ! [X_39] : ( join(X_39,zero) = X_39 ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_280]) ).

tff(c_352,plain,
    ! [Y_10] : ( join(zero,Y_10) = Y_10 ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_325]) ).

tff(c_1146,plain,
    ! [Y_56,X_57] : ( join(Y_56,meet(X_57,Y_56)) = Y_56 ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_280]) ).

tff(c_1250,plain,
    ! [X_58] : ( meet(X_58,zero) = zero ),
    inference(superposition,[status(thm),theory(equality)],[c_1146,c_352]) ).

tff(c_22,plain,
    ! [X_19,Y_20] :
      ( ( complement(X_19) = Y_20 )
      | ( join(X_19,Y_20) != one )
      | ( meet(X_19,Y_20) != zero ) ),
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_1261,plain,
    ! [X_58] :
      ( ( complement(X_58) = zero )
      | ( join(X_58,zero) != one ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1250,c_22]) ).

tff(c_1315,plain,
    ! [X_58] :
      ( ( complement(X_58) = zero )
      | ( one != X_58 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_310,c_1261]) ).

tff(c_4312,plain,
    ! [X_93,Z_94] : ( join(X_93,join(complement(X_93),Z_94)) = one ),
    inference(demodulation,[status(thm),theory(equality)],[c_217,c_647]) ).

tff(c_4364,plain,
    ! [X_58,Z_94] :
      ( ( join(X_58,join(zero,Z_94)) = one )
      | ( one != X_58 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_1315,c_4312]) ).

tff(c_4435,plain,
    ! [X_95,Z_96] :
      ( ( join(X_95,Z_96) = one )
      | ( one != X_95 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_352,c_4364]) ).

tff(c_4615,plain,
    ! [Z_96] : ( join(Z_96,one) = one ),
    inference(superposition,[status(thm),theory(equality)],[c_4435,c_12]) ).

tff(c_672,plain,
    ! [X_47,Y_48] :
      ( ( complement(X_47) = Y_48 )
      | ( join(X_47,Y_48) != one )
      | ( meet(X_47,Y_48) != zero ) ),
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_17365,plain,
    ! [X_181,Y_182] :
      ( ( complement(X_181) = Y_182 )
      | ( join(X_181,Y_182) != one )
      | ( meet(Y_182,X_181) != zero ) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_672]) ).

tff(c_17491,plain,
    ! [X_35] :
      ( ( complement(X_35) = one )
      | ( join(X_35,one) != one )
      | ( zero != X_35 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_178,c_17365]) ).

tff(c_17589,plain,
    ! [X_183] :
      ( ( complement(X_183) = one )
      | ( zero != X_183 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_4615,c_17491]) ).

tff(c_490,plain,
    ! [Y_43] : ( join(zero,Y_43) = Y_43 ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_325]) ).

tff(c_504,plain,
    ! [Y_43] : ( meet(zero,Y_43) = zero ),
    inference(superposition,[status(thm),theory(equality)],[c_490,c_6]) ).

tff(c_2,plain,
    ! [X_1] : ( meet(X_1,X_1) = X_1 ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_382,plain,
    ! [X_40,Y_41,Z_42] : ( meet(meet(X_40,Y_41),Z_42) = meet(X_40,meet(Y_41,Z_42)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_1527,plain,
    ! [X_63,Z_64] : ( meet(X_63,meet(X_63,Z_64)) = meet(X_63,Z_64) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_382]) ).

tff(c_2084,plain,
    ! [X_71,Y_72] : ( meet(X_71,meet(Y_72,X_71)) = meet(X_71,Y_72) ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_1527]) ).

tff(c_2204,plain,
    ! [X_18] : ( meet(complement(X_18),zero) = meet(complement(X_18),X_18) ),
    inference(superposition,[status(thm),theory(equality)],[c_20,c_2084]) ).

tff(c_2247,plain,
    ! [X_73] : ( meet(complement(X_73),X_73) = zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_504,c_10,c_2204]) ).

tff(c_14,plain,
    ! [X_11,Y_12,Z_13] : ( meet(meet(X_11,Y_12),Z_13) = meet(X_11,meet(Y_12,Z_13)) ),
    inference(cnfTransformation,[status(thm)],[f_60]) ).

tff(c_2278,plain,
    ! [X_73,Z_13] : ( meet(complement(X_73),meet(X_73,Z_13)) = meet(zero,Z_13) ),
    inference(superposition,[status(thm),theory(equality)],[c_2247,c_14]) ).

tff(c_2729,plain,
    ! [X_79,Z_80] : ( meet(complement(X_79),meet(X_79,Z_80)) = zero ),
    inference(demodulation,[status(thm),theory(equality)],[c_504,c_2278]) ).

tff(c_2840,plain,
    ! [Y_8,X_7] : ( meet(complement(Y_8),meet(X_7,Y_8)) = zero ),
    inference(superposition,[status(thm),theory(equality)],[c_10,c_2729]) ).

tff(c_17727,plain,
    ! [X_7,X_183] :
      ( ( meet(one,meet(X_7,X_183)) = zero )
      | ( zero != X_183 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17589,c_2840]) ).

tff(c_17837,plain,
    ! [X_7,X_183] :
      ( ( meet(X_7,X_183) = zero )
      | ( zero != X_183 ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_178,c_17727]) ).

tff(c_4,plain,
    ! [X_2] : ( join(X_2,X_2) = X_2 ),
    inference(cnfTransformation,[status(thm)],[f_50]) ).

tff(c_654,plain,
    ! [X_2,Z_46] : ( join(X_2,join(X_2,Z_46)) = join(X_2,Z_46) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_570]) ).

tff(c_5676,plain,
    ! [X_114,Y_115,X_113] : ( join(X_114,join(Y_115,X_113)) = join(X_113,join(X_114,Y_115)) ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_570]) ).

tff(c_6036,plain,
    ! [X_113,Y_115] : ( join(X_113,join(join(Y_115,X_113),Y_115)) = join(Y_115,X_113) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_5676]) ).

tff(c_6099,plain,
    ! [X_113,Y_115] : ( join(X_113,join(Y_115,X_113)) = join(Y_115,X_113) ),
    inference(demodulation,[status(thm),theory(equality)],[c_654,c_12,c_6036]) ).

tff(c_158,plain,
    ! [X_9,Y_10] : ( meet(X_9,join(Y_10,X_9)) = X_9 ),
    inference(superposition,[status(thm),theory(equality)],[c_12,c_149]) ).

tff(c_785,plain,
    ! [X_50,Y_51,Z_52,U_53] : ( meet(X_50,join(Y_51,meet(Z_52,join(U_53,meet(Z_52,join(X_50,Y_51)))))) = meet(X_50,join(Y_51,meet(Z_52,join(X_50,U_53)))) ),
    inference(cnfTransformation,[status(thm)],[f_101]) ).

tff(c_948,plain,
    ! [X_50,Y_51,U_53] : ( meet(X_50,join(Y_51,meet(join(X_50,Y_51),join(U_53,join(X_50,Y_51))))) = meet(X_50,join(Y_51,meet(join(X_50,Y_51),join(X_50,U_53)))) ),
    inference(superposition,[status(thm),theory(equality)],[c_2,c_785]) ).

tff(c_47405,plain,
    ! [X_321,Y_322,U_323] : ( meet(X_321,join(Y_322,meet(join(X_321,Y_322),join(X_321,U_323)))) = X_321 ),
    inference(demodulation,[status(thm),theory(equality)],[c_6,c_6099,c_158,c_948]) ).

tff(c_47880,plain,
    ! [X_321,Y_322,U_323] :
      ( ( meet(X_321,join(Y_322,zero)) = X_321 )
      | ( join(X_321,U_323) != zero ) ),
    inference(superposition,[status(thm),theory(equality)],[c_17837,c_47405]) ).

tff(c_137274,plain,
    ! [X_574,Y_575,U_576] :
      ( ( meet(X_574,Y_575) = X_574 )
      | ( join(X_574,U_576) != zero ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_310,c_47880]) ).

tff(c_137505,plain,
    ! [Y_577,Y_578] :
      ( ( meet(Y_577,Y_578) = Y_577 )
      | ( zero != Y_577 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_21284,c_137274]) ).

tff(c_9164,plain,
    ! [X_135,Y_136,Z_137] : ( join(X_135,join(meet(X_135,Y_136),Z_137)) = join(X_135,Z_137) ),
    inference(superposition,[status(thm),theory(equality)],[c_8,c_570]) ).

tff(c_9379,plain,
    ! [X_135,X_7,Y_136] : ( join(X_135,meet(X_7,meet(X_135,Y_136))) = join(X_135,meet(X_135,Y_136)) ),
    inference(superposition,[status(thm),theory(equality)],[c_307,c_9164]) ).

tff(c_43281,plain,
    ! [X_308,X_309,Y_310] : ( join(X_308,meet(X_309,meet(X_308,Y_310))) = X_308 ),
    inference(demodulation,[status(thm),theory(equality)],[c_8,c_9379]) ).

tff(c_6039,plain,
    ! [X_2,X_113] : ( join(X_2,join(X_2,X_113)) = join(X_113,X_2) ),
    inference(superposition,[status(thm),theory(equality)],[c_4,c_5676]) ).

tff(c_43338,plain,
    ! [X_309,X_308,Y_310] : ( join(meet(X_309,meet(X_308,Y_310)),X_308) = join(X_308,X_308) ),
    inference(superposition,[status(thm),theory(equality)],[c_43281,c_6039]) ).

tff(c_43917,plain,
    ! [X_309,X_308,Y_310] : ( join(meet(X_309,meet(X_308,Y_310)),X_308) = X_308 ),
    inference(demodulation,[status(thm),theory(equality)],[c_4,c_43338]) ).

tff(c_144741,plain,
    ! [X_308] : ( join(zero,X_308) = X_308 ),
    inference(superposition,[status(thm),theory(equality)],[c_137505,c_43917]) ).

tff(c_26,plain,
    meet(b,a) = a,
    inference(cnfTransformation,[status(thm)],[f_102]) ).

tff(c_2849,plain,
    meet(complement(b),a) = zero,
    inference(superposition,[status(thm),theory(equality)],[c_26,c_2729]) ).

tff(c_164,plain,
    ! [X_17] : ( meet(X_17,one) = X_17 ),
    inference(superposition,[status(thm),theory(equality)],[c_18,c_149]) ).

tff(c_944,plain,
    ! [X_17,Z_52,U_53] : ( meet(X_17,join(complement(X_17),meet(Z_52,join(X_17,U_53)))) = meet(X_17,join(complement(X_17),meet(Z_52,join(U_53,meet(Z_52,one))))) ),
    inference(superposition,[status(thm),theory(equality)],[c_18,c_785]) ).

tff(c_985,plain,
    ! [X_17,Z_52,U_53] : ( meet(X_17,join(complement(X_17),meet(Z_52,join(X_17,U_53)))) = meet(X_17,join(complement(X_17),meet(Z_52,join(U_53,Z_52)))) ),
    inference(demodulation,[status(thm),theory(equality)],[c_164,c_944]) ).

tff(c_28779,plain,
    ! [X_249,Z_250,U_251] : ( meet(X_249,join(complement(X_249),meet(Z_250,join(X_249,U_251)))) = meet(X_249,join(complement(X_249),Z_250)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_158,c_985]) ).

tff(c_412479,plain,
    ! [Y_1108,Z_1109] : ( meet(Y_1108,join(complement(Y_1108),meet(Z_1109,Y_1108))) = meet(Y_1108,join(complement(Y_1108),Z_1109)) ),
    inference(superposition,[status(thm),theory(equality)],[c_307,c_28779]) ).

tff(c_413962,plain,
    meet(a,join(complement(a),complement(b))) = meet(a,join(complement(a),zero)),
    inference(superposition,[status(thm),theory(equality)],[c_2849,c_412479]) ).

tff(c_414368,plain,
    meet(a,join(complement(a),complement(b))) = zero,
    inference(demodulation,[status(thm),theory(equality)],[c_20,c_144741,c_12,c_413962]) ).

tff(c_672539,plain,
    ( ( join(complement(a),complement(b)) = complement(a) )
    | ( join(a,join(complement(a),complement(b))) != one ) ),
    inference(superposition,[status(thm),theory(equality)],[c_414368,c_22]) ).

tff(c_672883,plain,
    join(complement(a),complement(b)) = complement(a),
    inference(demodulation,[status(thm),theory(equality)],[c_4311,c_672539]) ).

tff(c_672885,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_29,c_672883]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LAT237-1 : TPTP v8.1.2. Released v3.1.0.
% 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
% 0.14/0.36  % Computer : n020.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu Aug  3 12:16:52 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 273.65/235.90  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 273.75/235.91  
% 273.75/235.91  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 273.75/235.95  
% 273.75/235.95  Inference rules
% 273.75/235.95  ----------------------
% 273.75/235.95  #Ref     : 8
% 273.75/235.95  #Sup     : 173673
% 273.75/235.95  #Fact    : 0
% 273.75/235.95  #Define  : 0
% 273.75/235.95  #Split   : 4
% 273.75/235.95  #Chain   : 0
% 273.75/235.95  #Close   : 0
% 273.75/235.95  
% 273.75/235.95  Ordering : KBO
% 273.75/235.95  
% 273.75/235.95  Simplification rules
% 273.75/235.95  ----------------------
% 273.75/235.95  #Subsume      : 45220
% 273.75/235.95  #Demod        : 223364
% 273.75/235.95  #Tautology    : 50820
% 273.75/235.95  #SimpNegUnit  : 2875
% 273.75/235.95  #BackRed      : 1
% 273.75/235.95  
% 273.75/235.95  #Partial instantiations: 0
% 273.75/235.95  #Strategies tried      : 1
% 273.75/235.95  
% 273.75/235.95  Timing (in seconds)
% 273.75/235.95  ----------------------
% 273.75/235.96  Preprocessing        : 0.44
% 273.75/235.96  Parsing              : 0.23
% 273.75/235.96  CNF conversion       : 0.02
% 273.75/235.96  Main loop            : 234.41
% 273.75/235.96  Inferencing          : 10.08
% 273.75/235.96  Reduction            : 187.53
% 273.75/235.96  Demodulation         : 177.32
% 273.75/235.96  BG Simplification    : 1.45
% 273.75/235.96  Subsumption          : 26.48
% 273.75/235.96  Abstraction          : 2.96
% 273.75/235.96  MUC search           : 0.00
% 273.75/235.96  Cooper               : 0.00
% 273.75/235.96  Total                : 234.92
% 273.75/235.96  Index Insertion      : 0.00
% 273.75/235.96  Index Deletion       : 0.00
% 273.75/235.96  Index Matching       : 0.00
% 273.75/235.96  BG Taut test         : 0.00
%------------------------------------------------------------------------------