TSTP Solution File: SET669+3 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SET669+3 : TPTP v8.1.2. Released v2.2.0.
% 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 : n007.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 10:56:51 EDT 2023

% Result   : Theorem 6.61s 2.62s
% Output   : CNFRefutation 6.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   45
% Syntax   : Number of formulae    :   97 (  18 unt;  33 typ;   0 def)
%            Number of atoms       :  179 (  16 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  192 (  77   ~;  72   |;   5   &)
%                                         (   5 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   44 (  27   >;  17   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;   6 con; 0-3 aty)
%            Number of variables   :  108 (; 108   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ subset > member > ilf_type > relation_like > empty > range > domain > relation_type > ordered_pair > cross_product > #nlpp > subset_type > range_of > power_set > member_type > identity_relation_of > domain_of > set_type > binary_relation_type > #skF_15 > #skF_8 > #skF_3 > #skF_14 > #skF_5 > #skF_13 > #skF_10 > #skF_11 > #skF_2 > #skF_12 > #skF_7 > #skF_1 > #skF_9 > #skF_6 > #skF_4

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(relation_type,type,
    relation_type: ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(f_365,negated_conjecture,
    ~ ! [B] :
        ( ilf_type(B,set_type)
       => ! [C] :
            ( ilf_type(C,set_type)
           => ! [D] :
                ( ilf_type(D,relation_type(B,C))
               => ( subset(identity_relation_of(C),D)
                 => ( subset(C,domain(B,C,D))
                    & ( C = range(B,C,D) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_32) ).

tff(f_349,axiom,
    ! [B] : ilf_type(B,set_type),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p32) ).

tff(f_335,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ! [D] :
              ( ilf_type(D,relation_type(B,C))
             => ( range(B,C,D) = range_of(D) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p30) ).

tff(f_313,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ! [D] :
              ( ilf_type(D,relation_type(B,C))
             => ( domain(B,C,D) = domain_of(D) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p28) ).

tff(f_56,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ! [D] :
              ( ilf_type(D,set_type)
             => ! [E] :
                  ( ilf_type(E,relation_type(B,C))
                 => ( subset(identity_relation_of(D),E)
                   => ( subset(D,domain(B,C,E))
                      & subset(D,range(B,C,E)) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).

tff(f_146,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ( ( B = C )
          <=> ( subset(B,C)
              & subset(C,B) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).

tff(f_346,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ! [D] :
              ( ilf_type(D,relation_type(B,C))
             => ilf_type(range(B,C,D),subset_type(C)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p31) ).

tff(f_233,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ( ~ empty(power_set(B))
        & ilf_type(power_set(B),set_type) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).

tff(f_194,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ( ilf_type(C,subset_type(B))
          <=> ilf_type(C,member_type(power_set(B))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).

tff(f_246,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ( ~ empty(C)
            & ilf_type(C,set_type) )
         => ( ilf_type(B,member_type(C))
          <=> member(B,C) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).

tff(f_116,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ( subset(B,C)
          <=> ! [D] :
                ( ilf_type(D,set_type)
               => ( member(D,B)
                 => member(D,C) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).

tff(f_225,axiom,
    ! [B] :
      ( ilf_type(B,set_type)
     => ! [C] :
          ( ilf_type(C,set_type)
         => ( member(B,power_set(C))
          <=> ! [D] :
                ( ilf_type(D,set_type)
               => ( member(D,B)
                 => member(D,C) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).

tff(c_126,plain,
    ilf_type('#skF_15',relation_type('#skF_13','#skF_14')),
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_120,plain,
    ! [B_180] : ilf_type(B_180,set_type),
    inference(cnfTransformation,[status(thm)],[f_349]) ).

tff(c_116,plain,
    ! [B_166,C_170,D_172] :
      ( ( range(B_166,C_170,D_172) = range_of(D_172) )
      | ~ ilf_type(D_172,relation_type(B_166,C_170))
      | ~ ilf_type(C_170,set_type)
      | ~ ilf_type(B_166,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_335]) ).

tff(c_1568,plain,
    ! [B_446,C_447,D_448] :
      ( ( range(B_446,C_447,D_448) = range_of(D_448) )
      | ~ ilf_type(D_448,relation_type(B_446,C_447)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_120,c_116]) ).

tff(c_1580,plain,
    range('#skF_13','#skF_14','#skF_15') = range_of('#skF_15'),
    inference(resolution,[status(thm)],[c_126,c_1568]) ).

tff(c_112,plain,
    ! [B_152,C_156,D_158] :
      ( ( domain(B_152,C_156,D_158) = domain_of(D_158) )
      | ~ ilf_type(D_158,relation_type(B_152,C_156))
      | ~ ilf_type(C_156,set_type)
      | ~ ilf_type(B_152,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_313]) ).

tff(c_779,plain,
    ! [B_306,C_307,D_308] :
      ( ( domain(B_306,C_307,D_308) = domain_of(D_308) )
      | ~ ilf_type(D_308,relation_type(B_306,C_307)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_120,c_112]) ).

tff(c_799,plain,
    domain('#skF_13','#skF_14','#skF_15') = domain_of('#skF_15'),
    inference(resolution,[status(thm)],[c_126,c_779]) ).

tff(c_122,plain,
    ( ( range('#skF_13','#skF_14','#skF_15') != '#skF_14' )
    | ~ subset('#skF_14',domain('#skF_13','#skF_14','#skF_15')) ),
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_273,plain,
    ~ subset('#skF_14',domain('#skF_13','#skF_14','#skF_15')),
    inference(splitLeft,[status(thm)],[c_122]) ).

tff(c_800,plain,
    ~ subset('#skF_14',domain_of('#skF_15')),
    inference(demodulation,[status(thm),theory(equality)],[c_799,c_273]) ).

tff(c_124,plain,
    subset(identity_relation_of('#skF_14'),'#skF_15'),
    inference(cnfTransformation,[status(thm)],[f_365]) ).

tff(c_6,plain,
    ! [D_16,B_4,C_12,E_18] :
      ( subset(D_16,domain(B_4,C_12,E_18))
      | ~ subset(identity_relation_of(D_16),E_18)
      | ~ ilf_type(E_18,relation_type(B_4,C_12))
      | ~ ilf_type(D_16,set_type)
      | ~ ilf_type(C_12,set_type)
      | ~ ilf_type(B_4,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_1147,plain,
    ! [D_362,B_363,C_364,E_365] :
      ( subset(D_362,domain(B_363,C_364,E_365))
      | ~ subset(identity_relation_of(D_362),E_365)
      | ~ ilf_type(E_365,relation_type(B_363,C_364)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_120,c_120,c_6]) ).

tff(c_1161,plain,
    ! [B_369,C_370] :
      ( subset('#skF_14',domain(B_369,C_370,'#skF_15'))
      | ~ ilf_type('#skF_15',relation_type(B_369,C_370)) ),
    inference(resolution,[status(thm)],[c_124,c_1147]) ).

tff(c_1175,plain,
    ( subset('#skF_14',domain_of('#skF_15'))
    | ~ ilf_type('#skF_15',relation_type('#skF_13','#skF_14')) ),
    inference(superposition,[status(thm),theory(equality)],[c_799,c_1161]) ).

tff(c_1183,plain,
    subset('#skF_14',domain_of('#skF_15')),
    inference(demodulation,[status(thm),theory(equality)],[c_126,c_1175]) ).

tff(c_1185,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_800,c_1183]) ).

tff(c_1186,plain,
    range('#skF_13','#skF_14','#skF_15') != '#skF_14',
    inference(splitRight,[status(thm)],[c_122]) ).

tff(c_1581,plain,
    range_of('#skF_15') != '#skF_14',
    inference(demodulation,[status(thm),theory(equality)],[c_1580,c_1186]) ).

tff(c_4,plain,
    ! [D_16,B_4,C_12,E_18] :
      ( subset(D_16,range(B_4,C_12,E_18))
      | ~ subset(identity_relation_of(D_16),E_18)
      | ~ ilf_type(E_18,relation_type(B_4,C_12))
      | ~ ilf_type(D_16,set_type)
      | ~ ilf_type(C_12,set_type)
      | ~ ilf_type(B_4,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_1950,plain,
    ! [D_515,B_516,C_517,E_518] :
      ( subset(D_515,range(B_516,C_517,E_518))
      | ~ subset(identity_relation_of(D_515),E_518)
      | ~ ilf_type(E_518,relation_type(B_516,C_517)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_120,c_120,c_4]) ).

tff(c_2155,plain,
    ! [B_535,C_536] :
      ( subset('#skF_14',range(B_535,C_536,'#skF_15'))
      | ~ ilf_type('#skF_15',relation_type(B_535,C_536)) ),
    inference(resolution,[status(thm)],[c_124,c_1950]) ).

tff(c_2172,plain,
    ( subset('#skF_14',range_of('#skF_15'))
    | ~ ilf_type('#skF_15',relation_type('#skF_13','#skF_14')) ),
    inference(superposition,[status(thm),theory(equality)],[c_1580,c_2155]) ).

tff(c_2179,plain,
    subset('#skF_14',range_of('#skF_15')),
    inference(demodulation,[status(thm),theory(equality)],[c_126,c_2172]) ).

tff(c_40,plain,
    ! [C_81,B_79] :
      ( ( C_81 = B_79 )
      | ~ subset(C_81,B_79)
      | ~ subset(B_79,C_81)
      | ~ ilf_type(C_81,set_type)
      | ~ ilf_type(B_79,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_146]) ).

tff(c_205,plain,
    ! [C_81,B_79] :
      ( ( C_81 = B_79 )
      | ~ subset(C_81,B_79)
      | ~ subset(B_79,C_81) ),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_120,c_40]) ).

tff(c_2193,plain,
    ( ( range_of('#skF_15') = '#skF_14' )
    | ~ subset(range_of('#skF_15'),'#skF_14') ),
    inference(resolution,[status(thm)],[c_2179,c_205]) ).

tff(c_2202,plain,
    ~ subset(range_of('#skF_15'),'#skF_14'),
    inference(negUnitSimplification,[status(thm)],[c_1581,c_2193]) ).

tff(c_118,plain,
    ! [B_173,C_177,D_179] :
      ( ilf_type(range(B_173,C_177,D_179),subset_type(C_177))
      | ~ ilf_type(D_179,relation_type(B_173,C_177))
      | ~ ilf_type(C_177,set_type)
      | ~ ilf_type(B_173,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_346]) ).

tff(c_1705,plain,
    ! [B_475,C_476,D_477] :
      ( ilf_type(range(B_475,C_476,D_477),subset_type(C_476))
      | ~ ilf_type(D_477,relation_type(B_475,C_476)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_120,c_118]) ).

tff(c_1716,plain,
    ( ilf_type(range_of('#skF_15'),subset_type('#skF_14'))
    | ~ ilf_type('#skF_15',relation_type('#skF_13','#skF_14')) ),
    inference(superposition,[status(thm),theory(equality)],[c_1580,c_1705]) ).

tff(c_1720,plain,
    ilf_type(range_of('#skF_15'),subset_type('#skF_14')),
    inference(demodulation,[status(thm),theory(equality)],[c_126,c_1716]) ).

tff(c_82,plain,
    ! [B_108] :
      ( ~ empty(power_set(B_108))
      | ~ ilf_type(B_108,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_233]) ).

tff(c_170,plain,
    ! [B_108] : ~ empty(power_set(B_108)),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_82]) ).

tff(c_64,plain,
    ! [C_93,B_91] :
      ( ilf_type(C_93,member_type(power_set(B_91)))
      | ~ ilf_type(C_93,subset_type(B_91))
      | ~ ilf_type(C_93,set_type)
      | ~ ilf_type(B_91,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_194]) ).

tff(c_187,plain,
    ! [C_93,B_91] :
      ( ilf_type(C_93,member_type(power_set(B_91)))
      | ~ ilf_type(C_93,subset_type(B_91)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_120,c_64]) ).

tff(c_86,plain,
    ! [B_109,C_111] :
      ( member(B_109,C_111)
      | ~ ilf_type(B_109,member_type(C_111))
      | ~ ilf_type(C_111,set_type)
      | empty(C_111)
      | ~ ilf_type(B_109,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_246]) ).

tff(c_1321,plain,
    ! [B_409,C_410] :
      ( member(B_409,C_410)
      | ~ ilf_type(B_409,member_type(C_410))
      | empty(C_410) ),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_120,c_86]) ).

tff(c_1327,plain,
    ! [C_93,B_91] :
      ( member(C_93,power_set(B_91))
      | empty(power_set(B_91))
      | ~ ilf_type(C_93,subset_type(B_91)) ),
    inference(resolution,[status(thm)],[c_187,c_1321]) ).

tff(c_1334,plain,
    ! [C_93,B_91] :
      ( member(C_93,power_set(B_91))
      | ~ ilf_type(C_93,subset_type(B_91)) ),
    inference(negUnitSimplification,[status(thm)],[c_170,c_1327]) ).

tff(c_26,plain,
    ! [B_44,C_50] :
      ( member('#skF_2'(B_44,C_50),B_44)
      | subset(B_44,C_50)
      | ~ ilf_type(C_50,set_type)
      | ~ ilf_type(B_44,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_213,plain,
    ! [B_44,C_50] :
      ( member('#skF_2'(B_44,C_50),B_44)
      | subset(B_44,C_50) ),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_120,c_26]) ).

tff(c_72,plain,
    ! [D_107,C_104,B_98] :
      ( member(D_107,C_104)
      | ~ member(D_107,B_98)
      | ~ ilf_type(D_107,set_type)
      | ~ member(B_98,power_set(C_104))
      | ~ ilf_type(C_104,set_type)
      | ~ ilf_type(B_98,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_225]) ).

tff(c_1442,plain,
    ! [D_426,C_427,B_428] :
      ( member(D_426,C_427)
      | ~ member(D_426,B_428)
      | ~ member(B_428,power_set(C_427)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_120,c_120,c_72]) ).

tff(c_2973,plain,
    ! [B_617,C_618,C_619] :
      ( member('#skF_2'(B_617,C_618),C_619)
      | ~ member(B_617,power_set(C_619))
      | subset(B_617,C_618) ),
    inference(resolution,[status(thm)],[c_213,c_1442]) ).

tff(c_24,plain,
    ! [B_44,C_50] :
      ( ~ member('#skF_2'(B_44,C_50),C_50)
      | subset(B_44,C_50)
      | ~ ilf_type(C_50,set_type)
      | ~ ilf_type(B_44,set_type) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_215,plain,
    ! [B_44,C_50] :
      ( ~ member('#skF_2'(B_44,C_50),C_50)
      | subset(B_44,C_50) ),
    inference(demodulation,[status(thm),theory(equality)],[c_120,c_120,c_24]) ).

tff(c_3009,plain,
    ! [B_620,C_621] :
      ( ~ member(B_620,power_set(C_621))
      | subset(B_620,C_621) ),
    inference(resolution,[status(thm)],[c_2973,c_215]) ).

tff(c_3438,plain,
    ! [C_638,B_639] :
      ( subset(C_638,B_639)
      | ~ ilf_type(C_638,subset_type(B_639)) ),
    inference(resolution,[status(thm)],[c_1334,c_3009]) ).

tff(c_3459,plain,
    subset(range_of('#skF_15'),'#skF_14'),
    inference(resolution,[status(thm)],[c_1720,c_3438]) ).

tff(c_3491,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2202,c_3459]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET669+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % 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
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug  3 16:21:24 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 6.61/2.62  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.94/2.63  
% 6.94/2.63  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.94/2.66  
% 6.94/2.66  Inference rules
% 6.94/2.66  ----------------------
% 6.94/2.66  #Ref     : 2
% 6.94/2.66  #Sup     : 716
% 6.94/2.66  #Fact    : 0
% 6.94/2.66  #Define  : 0
% 6.94/2.66  #Split   : 11
% 6.94/2.66  #Chain   : 0
% 6.94/2.66  #Close   : 0
% 6.94/2.66  
% 6.94/2.66  Ordering : KBO
% 6.94/2.66  
% 6.94/2.66  Simplification rules
% 6.94/2.66  ----------------------
% 6.94/2.66  #Subsume      : 133
% 6.94/2.66  #Demod        : 182
% 6.94/2.66  #Tautology    : 122
% 6.94/2.66  #SimpNegUnit  : 50
% 6.94/2.66  #BackRed      : 6
% 6.94/2.66  
% 6.94/2.66  #Partial instantiations: 0
% 6.94/2.66  #Strategies tried      : 1
% 6.94/2.66  
% 6.94/2.66  Timing (in seconds)
% 6.94/2.66  ----------------------
% 6.94/2.67  Preprocessing        : 0.65
% 6.94/2.67  Parsing              : 0.33
% 6.94/2.67  CNF conversion       : 0.06
% 6.94/2.67  Main loop            : 0.94
% 6.94/2.67  Inferencing          : 0.34
% 6.94/2.67  Reduction            : 0.29
% 6.94/2.67  Demodulation         : 0.20
% 6.94/2.67  BG Simplification    : 0.05
% 6.94/2.67  Subsumption          : 0.18
% 6.94/2.67  Abstraction          : 0.04
% 6.94/2.67  MUC search           : 0.00
% 6.94/2.67  Cooper               : 0.00
% 6.94/2.67  Total                : 1.65
% 6.94/2.67  Index Insertion      : 0.00
% 6.94/2.67  Index Deletion       : 0.00
% 6.94/2.67  Index Matching       : 0.00
% 6.94/2.67  BG Taut test         : 0.00
%------------------------------------------------------------------------------