TSTP Solution File: SEU191+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SEU191+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n024.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 10:57:57 EDT 2023

% Result   : Theorem 15.72s 6.64s
% Output   : CNFRefutation 15.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   34
% Syntax   : Number of formulae    :   91 (  26 unt;  29 typ;   0 def)
%            Number of atoms       :  162 (   9 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  198 (  98   ~;  85   |;   4   &)
%                                         (   5 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   43 (  20   >;  23   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;   9 con; 0-5 aty)
%            Number of variables   :   87 (;  86   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ in > element > relation > empty > unordered_pair > relation_composition > ordered_pair > #nlpp > singleton > identity_relation > empty_set > #skF_18 > #skF_17 > #skF_6 > #skF_15 > #skF_19 > #skF_5 > #skF_3 > #skF_16 > #skF_14 > #skF_13 > #skF_7 > #skF_9 > #skF_11 > #skF_2 > #skF_8 > #skF_1 > #skF_12 > #skF_4 > #skF_10

%Foreground sorts:

%Background operators:

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

tff('#skF_18',type,
    '#skF_18': $i ).

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

tff('#skF_17',type,
    '#skF_17': $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': $i ).

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

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

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

tff('#skF_19',type,
    '#skF_19': $i ).

tff('#skF_5',type,
    '#skF_5': ( $i * $i * $i * $i * $i ) > $i ).

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

tff('#skF_16',type,
    '#skF_16': $i ).

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

tff('#skF_14',type,
    '#skF_14': $i ).

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

tff('#skF_13',type,
    '#skF_13': $i ).

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

tff(empty,type,
    empty: $i > $o ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i * $i ) > $i ).

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

tff('#skF_9',type,
    '#skF_9': ( $i * $i * $i ) > $i ).

tff('#skF_11',type,
    '#skF_11': $i > $i ).

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

tff('#skF_8',type,
    '#skF_8': ( $i * $i * $i ) > $i ).

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

tff('#skF_12',type,
    '#skF_12': $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i ) > $i ).

tff('#skF_10',type,
    '#skF_10': ( $i * $i * $i ) > $i ).

tff(f_146,negated_conjecture,
    ~ ! [A,B,C,D] :
        ( relation(D)
       => ( in(ordered_pair(A,B),relation_composition(identity_relation(C),D))
        <=> ( in(A,C)
            & in(ordered_pair(A,B),D) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t74_relat_1) ).

tff(f_77,axiom,
    ! [A] : relation(identity_relation(A)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relat_1) ).

tff(f_48,axiom,
    ! [A,B] :
      ( relation(B)
     => ( ( B = identity_relation(A) )
      <=> ! [C,D] :
            ( in(ordered_pair(C,D),B)
          <=> ( in(C,A)
              & ( C = D ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_relat_1) ).

tff(f_75,axiom,
    ! [A,B] :
      ( ( relation(A)
        & relation(B) )
     => relation(relation_composition(A,B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_relat_1) ).

tff(f_68,axiom,
    ! [A] :
      ( relation(A)
     => ! [B] :
          ( relation(B)
         => ! [C] :
              ( relation(C)
             => ( ( C = relation_composition(A,B) )
              <=> ! [D,E] :
                    ( in(ordered_pair(D,E),C)
                  <=> ? [F] :
                        ( in(ordered_pair(D,F),A)
                        & in(ordered_pair(F,E),B) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_relat_1) ).

tff(c_112,plain,
    ( in(ordered_pair('#skF_16','#skF_17'),relation_composition(identity_relation('#skF_18'),'#skF_19'))
    | in('#skF_16','#skF_18') ),
    inference(cnfTransformation,[status(thm)],[f_146]) ).

tff(c_124,plain,
    in('#skF_16','#skF_18'),
    inference(splitLeft,[status(thm)],[c_112]) ).

tff(c_56,plain,
    ! [A_117] : relation(identity_relation(A_117)),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_20,plain,
    ! [D_13,A_6] :
      ( in(ordered_pair(D_13,D_13),identity_relation(A_6))
      | ~ in(D_13,A_6)
      | ~ relation(identity_relation(A_6)) ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_123,plain,
    ! [D_13,A_6] :
      ( in(ordered_pair(D_13,D_13),identity_relation(A_6))
      | ~ in(D_13,A_6) ),
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_20]) ).

tff(c_100,plain,
    relation('#skF_19'),
    inference(cnfTransformation,[status(thm)],[f_146]) ).

tff(c_54,plain,
    ! [A_115,B_116] :
      ( relation(relation_composition(A_115,B_116))
      | ~ relation(B_116)
      | ~ relation(A_115) ),
    inference(cnfTransformation,[status(thm)],[f_75]) ).

tff(c_108,plain,
    ( in(ordered_pair('#skF_16','#skF_17'),relation_composition(identity_relation('#skF_18'),'#skF_19'))
    | in(ordered_pair('#skF_16','#skF_17'),'#skF_19') ),
    inference(cnfTransformation,[status(thm)],[f_146]) ).

tff(c_157,plain,
    in(ordered_pair('#skF_16','#skF_17'),'#skF_19'),
    inference(splitLeft,[status(thm)],[c_108]) ).

tff(c_2799,plain,
    ! [A_274,B_270,F_273,D_271,E_272] :
      ( in(ordered_pair(D_271,E_272),relation_composition(A_274,B_270))
      | ~ in(ordered_pair(F_273,E_272),B_270)
      | ~ in(ordered_pair(D_271,F_273),A_274)
      | ~ relation(relation_composition(A_274,B_270))
      | ~ relation(B_270)
      | ~ relation(A_274) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_2812,plain,
    ! [D_271,A_274] :
      ( in(ordered_pair(D_271,'#skF_17'),relation_composition(A_274,'#skF_19'))
      | ~ in(ordered_pair(D_271,'#skF_16'),A_274)
      | ~ relation(relation_composition(A_274,'#skF_19'))
      | ~ relation('#skF_19')
      | ~ relation(A_274) ),
    inference(resolution,[status(thm)],[c_157,c_2799]) ).

tff(c_2847,plain,
    ! [D_278,A_279] :
      ( in(ordered_pair(D_278,'#skF_17'),relation_composition(A_279,'#skF_19'))
      | ~ in(ordered_pair(D_278,'#skF_16'),A_279)
      | ~ relation(relation_composition(A_279,'#skF_19'))
      | ~ relation(A_279) ),
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_2812]) ).

tff(c_102,plain,
    ( ~ in(ordered_pair('#skF_16','#skF_17'),'#skF_19')
    | ~ in('#skF_16','#skF_18')
    | ~ in(ordered_pair('#skF_16','#skF_17'),relation_composition(identity_relation('#skF_18'),'#skF_19')) ),
    inference(cnfTransformation,[status(thm)],[f_146]) ).

tff(c_188,plain,
    ~ in(ordered_pair('#skF_16','#skF_17'),relation_composition(identity_relation('#skF_18'),'#skF_19')),
    inference(demodulation,[status(thm),theory(equality)],[c_124,c_157,c_102]) ).

tff(c_2860,plain,
    ( ~ in(ordered_pair('#skF_16','#skF_16'),identity_relation('#skF_18'))
    | ~ relation(relation_composition(identity_relation('#skF_18'),'#skF_19'))
    | ~ relation(identity_relation('#skF_18')) ),
    inference(resolution,[status(thm)],[c_2847,c_188]) ).

tff(c_2885,plain,
    ( ~ in(ordered_pair('#skF_16','#skF_16'),identity_relation('#skF_18'))
    | ~ relation(relation_composition(identity_relation('#skF_18'),'#skF_19')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_2860]) ).

tff(c_3579,plain,
    ~ relation(relation_composition(identity_relation('#skF_18'),'#skF_19')),
    inference(splitLeft,[status(thm)],[c_2885]) ).

tff(c_3594,plain,
    ( ~ relation('#skF_19')
    | ~ relation(identity_relation('#skF_18')) ),
    inference(resolution,[status(thm)],[c_54,c_3579]) ).

tff(c_3611,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_100,c_3594]) ).

tff(c_3612,plain,
    ~ in(ordered_pair('#skF_16','#skF_16'),identity_relation('#skF_18')),
    inference(splitRight,[status(thm)],[c_2885]) ).

tff(c_3633,plain,
    ~ in('#skF_16','#skF_18'),
    inference(resolution,[status(thm)],[c_123,c_3612]) ).

tff(c_3641,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_124,c_3633]) ).

tff(c_3643,plain,
    ~ in(ordered_pair('#skF_16','#skF_17'),'#skF_19'),
    inference(splitRight,[status(thm)],[c_108]) ).

tff(c_3642,plain,
    in(ordered_pair('#skF_16','#skF_17'),relation_composition(identity_relation('#skF_18'),'#skF_19')),
    inference(splitRight,[status(thm)],[c_108]) ).

tff(c_6333,plain,
    ! [F_442,A_443,B_439,E_441,D_440] :
      ( in(ordered_pair(D_440,E_441),relation_composition(A_443,B_439))
      | ~ in(ordered_pair(F_442,E_441),B_439)
      | ~ in(ordered_pair(D_440,F_442),A_443)
      | ~ relation(relation_composition(A_443,B_439))
      | ~ relation(B_439)
      | ~ relation(A_443) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_6354,plain,
    ! [D_440,A_443] :
      ( in(ordered_pair(D_440,'#skF_17'),relation_composition(A_443,relation_composition(identity_relation('#skF_18'),'#skF_19')))
      | ~ in(ordered_pair(D_440,'#skF_16'),A_443)
      | ~ relation(relation_composition(A_443,relation_composition(identity_relation('#skF_18'),'#skF_19')))
      | ~ relation(relation_composition(identity_relation('#skF_18'),'#skF_19'))
      | ~ relation(A_443) ),
    inference(resolution,[status(thm)],[c_3642,c_6333]) ).

tff(c_6431,plain,
    ~ relation(relation_composition(identity_relation('#skF_18'),'#skF_19')),
    inference(splitLeft,[status(thm)],[c_6354]) ).

tff(c_6440,plain,
    ( ~ relation('#skF_19')
    | ~ relation(identity_relation('#skF_18')) ),
    inference(resolution,[status(thm)],[c_54,c_6431]) ).

tff(c_6455,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_100,c_6440]) ).

tff(c_6457,plain,
    relation(relation_composition(identity_relation('#skF_18'),'#skF_19')),
    inference(splitRight,[status(thm)],[c_6354]) ).

tff(c_6732,plain,
    ! [D_455,B_456,E_457,A_458] :
      ( in(ordered_pair(D_455,'#skF_5'(B_456,D_455,E_457,relation_composition(A_458,B_456),A_458)),A_458)
      | ~ in(ordered_pair(D_455,E_457),relation_composition(A_458,B_456))
      | ~ relation(relation_composition(A_458,B_456))
      | ~ relation(B_456)
      | ~ relation(A_458) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_22,plain,
    ! [D_13,C_12,A_6] :
      ( ( D_13 = C_12 )
      | ~ in(ordered_pair(C_12,D_13),identity_relation(A_6))
      | ~ relation(identity_relation(A_6)) ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_121,plain,
    ! [D_13,C_12,A_6] :
      ( ( D_13 = C_12 )
      | ~ in(ordered_pair(C_12,D_13),identity_relation(A_6)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_22]) ).

tff(c_6749,plain,
    ! [B_456,D_455,E_457,A_6] :
      ( ( '#skF_5'(B_456,D_455,E_457,relation_composition(identity_relation(A_6),B_456),identity_relation(A_6)) = D_455 )
      | ~ in(ordered_pair(D_455,E_457),relation_composition(identity_relation(A_6),B_456))
      | ~ relation(relation_composition(identity_relation(A_6),B_456))
      | ~ relation(B_456)
      | ~ relation(identity_relation(A_6)) ),
    inference(resolution,[status(thm)],[c_6732,c_121]) ).

tff(c_38390,plain,
    ! [B_880,D_881,E_882,A_883] :
      ( ( '#skF_5'(B_880,D_881,E_882,relation_composition(identity_relation(A_883),B_880),identity_relation(A_883)) = D_881 )
      | ~ in(ordered_pair(D_881,E_882),relation_composition(identity_relation(A_883),B_880))
      | ~ relation(relation_composition(identity_relation(A_883),B_880))
      | ~ relation(B_880) ),
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_6749]) ).

tff(c_38512,plain,
    ( ( '#skF_5'('#skF_19','#skF_16','#skF_17',relation_composition(identity_relation('#skF_18'),'#skF_19'),identity_relation('#skF_18')) = '#skF_16' )
    | ~ relation(relation_composition(identity_relation('#skF_18'),'#skF_19'))
    | ~ relation('#skF_19') ),
    inference(resolution,[status(thm)],[c_3642,c_38390]) ).

tff(c_38550,plain,
    '#skF_5'('#skF_19','#skF_16','#skF_17',relation_composition(identity_relation('#skF_18'),'#skF_19'),identity_relation('#skF_18')) = '#skF_16',
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_6457,c_38512]) ).

tff(c_42,plain,
    ! [B_68,D_107,E_108,A_16] :
      ( in(ordered_pair('#skF_5'(B_68,D_107,E_108,relation_composition(A_16,B_68),A_16),E_108),B_68)
      | ~ in(ordered_pair(D_107,E_108),relation_composition(A_16,B_68))
      | ~ relation(relation_composition(A_16,B_68))
      | ~ relation(B_68)
      | ~ relation(A_16) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_38557,plain,
    ( in(ordered_pair('#skF_16','#skF_17'),'#skF_19')
    | ~ in(ordered_pair('#skF_16','#skF_17'),relation_composition(identity_relation('#skF_18'),'#skF_19'))
    | ~ relation(relation_composition(identity_relation('#skF_18'),'#skF_19'))
    | ~ relation('#skF_19')
    | ~ relation(identity_relation('#skF_18')) ),
    inference(superposition,[status(thm),theory(equality)],[c_38550,c_42]) ).

tff(c_38590,plain,
    in(ordered_pair('#skF_16','#skF_17'),'#skF_19'),
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_100,c_6457,c_3642,c_38557]) ).

tff(c_38592,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_3643,c_38590]) ).

tff(c_38594,plain,
    ~ in('#skF_16','#skF_18'),
    inference(splitRight,[status(thm)],[c_112]) ).

tff(c_38593,plain,
    in(ordered_pair('#skF_16','#skF_17'),relation_composition(identity_relation('#skF_18'),'#skF_19')),
    inference(splitRight,[status(thm)],[c_112]) ).

tff(c_41136,plain,
    ! [B_1006,F_1009,A_1010,D_1007,E_1008] :
      ( in(ordered_pair(D_1007,E_1008),relation_composition(A_1010,B_1006))
      | ~ in(ordered_pair(F_1009,E_1008),B_1006)
      | ~ in(ordered_pair(D_1007,F_1009),A_1010)
      | ~ relation(relation_composition(A_1010,B_1006))
      | ~ relation(B_1006)
      | ~ relation(A_1010) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_41159,plain,
    ! [D_1007,A_1010] :
      ( in(ordered_pair(D_1007,'#skF_17'),relation_composition(A_1010,relation_composition(identity_relation('#skF_18'),'#skF_19')))
      | ~ in(ordered_pair(D_1007,'#skF_16'),A_1010)
      | ~ relation(relation_composition(A_1010,relation_composition(identity_relation('#skF_18'),'#skF_19')))
      | ~ relation(relation_composition(identity_relation('#skF_18'),'#skF_19'))
      | ~ relation(A_1010) ),
    inference(resolution,[status(thm)],[c_38593,c_41136]) ).

tff(c_41287,plain,
    ~ relation(relation_composition(identity_relation('#skF_18'),'#skF_19')),
    inference(splitLeft,[status(thm)],[c_41159]) ).

tff(c_41299,plain,
    ( ~ relation('#skF_19')
    | ~ relation(identity_relation('#skF_18')) ),
    inference(resolution,[status(thm)],[c_54,c_41287]) ).

tff(c_41314,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_100,c_41299]) ).

tff(c_41316,plain,
    relation(relation_composition(identity_relation('#skF_18'),'#skF_19')),
    inference(splitRight,[status(thm)],[c_41159]) ).

tff(c_41328,plain,
    ! [D_1017,B_1018,E_1019,A_1020] :
      ( in(ordered_pair(D_1017,'#skF_5'(B_1018,D_1017,E_1019,relation_composition(A_1020,B_1018),A_1020)),A_1020)
      | ~ in(ordered_pair(D_1017,E_1019),relation_composition(A_1020,B_1018))
      | ~ relation(relation_composition(A_1020,B_1018))
      | ~ relation(B_1018)
      | ~ relation(A_1020) ),
    inference(cnfTransformation,[status(thm)],[f_68]) ).

tff(c_24,plain,
    ! [C_12,A_6,D_13] :
      ( in(C_12,A_6)
      | ~ in(ordered_pair(C_12,D_13),identity_relation(A_6))
      | ~ relation(identity_relation(A_6)) ),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_119,plain,
    ! [C_12,A_6,D_13] :
      ( in(C_12,A_6)
      | ~ in(ordered_pair(C_12,D_13),identity_relation(A_6)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_24]) ).

tff(c_41338,plain,
    ! [D_1017,A_6,E_1019,B_1018] :
      ( in(D_1017,A_6)
      | ~ in(ordered_pair(D_1017,E_1019),relation_composition(identity_relation(A_6),B_1018))
      | ~ relation(relation_composition(identity_relation(A_6),B_1018))
      | ~ relation(B_1018)
      | ~ relation(identity_relation(A_6)) ),
    inference(resolution,[status(thm)],[c_41328,c_119]) ).

tff(c_48556,plain,
    ! [D_1184,A_1185,E_1186,B_1187] :
      ( in(D_1184,A_1185)
      | ~ in(ordered_pair(D_1184,E_1186),relation_composition(identity_relation(A_1185),B_1187))
      | ~ relation(relation_composition(identity_relation(A_1185),B_1187))
      | ~ relation(B_1187) ),
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_41338]) ).

tff(c_48659,plain,
    ( in('#skF_16','#skF_18')
    | ~ relation(relation_composition(identity_relation('#skF_18'),'#skF_19'))
    | ~ relation('#skF_19') ),
    inference(resolution,[status(thm)],[c_38593,c_48556]) ).

tff(c_48690,plain,
    in('#skF_16','#skF_18'),
    inference(demodulation,[status(thm),theory(equality)],[c_100,c_41316,c_48659]) ).

tff(c_48692,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_38594,c_48690]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU191+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % 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
% 0.14/0.36  % Computer : n024.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 11:58:45 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 15.72/6.64  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.72/6.64  
% 15.72/6.64  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 15.72/6.68  
% 15.72/6.68  Inference rules
% 15.72/6.68  ----------------------
% 15.72/6.68  #Ref     : 0
% 15.72/6.68  #Sup     : 11132
% 15.72/6.68  #Fact    : 0
% 15.72/6.68  #Define  : 0
% 15.72/6.68  #Split   : 19
% 15.72/6.68  #Chain   : 0
% 15.72/6.68  #Close   : 0
% 15.72/6.68  
% 15.72/6.68  Ordering : KBO
% 15.72/6.68  
% 15.72/6.68  Simplification rules
% 15.72/6.68  ----------------------
% 15.72/6.68  #Subsume      : 5374
% 15.72/6.68  #Demod        : 9540
% 15.72/6.68  #Tautology    : 3961
% 15.72/6.68  #SimpNegUnit  : 329
% 15.72/6.68  #BackRed      : 80
% 15.72/6.68  
% 15.72/6.68  #Partial instantiations: 0
% 15.72/6.68  #Strategies tried      : 1
% 15.72/6.68  
% 15.72/6.68  Timing (in seconds)
% 15.72/6.68  ----------------------
% 15.72/6.68  Preprocessing        : 0.60
% 15.72/6.68  Parsing              : 0.30
% 15.72/6.68  CNF conversion       : 0.05
% 15.72/6.68  Main loop            : 5.01
% 15.72/6.68  Inferencing          : 1.15
% 15.72/6.68  Reduction            : 1.92
% 15.72/6.68  Demodulation         : 1.49
% 15.72/6.68  BG Simplification    : 0.09
% 15.72/6.68  Subsumption          : 1.62
% 15.72/6.68  Abstraction          : 0.15
% 15.72/6.68  MUC search           : 0.00
% 15.72/6.68  Cooper               : 0.00
% 15.72/6.68  Total                : 5.67
% 15.72/6.68  Index Insertion      : 0.00
% 15.72/6.68  Index Deletion       : 0.00
% 15.72/6.68  Index Matching       : 0.00
% 15.72/6.68  BG Taut test         : 0.00
%------------------------------------------------------------------------------