TSTP Solution File: SEU350+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SEU350+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 : n022.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 10:58:29 EDT 2023

% Result   : Theorem 8.14s 2.95s
% Output   : CNFRefutation 8.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   65
% Syntax   : Number of formulae    :  114 (  22 unt;  60 typ;   0 def)
%            Number of atoms       :  150 (  17 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  159 (  63   ~;  74   |;  11   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   65 (  46   >;  19   *;   0   +;   0  <<)
%            Number of predicates  :   32 (  30 usr;   1 prp; 0-3 aty)
%            Number of functors    :   30 (  30 usr;  14 con; 0-2 aty)
%            Number of variables   :   34 (;  34   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ v1_partfun1 > relstr_set_smaller > relation_of2_as_subset > relation_of2 > latt_element_smaller > subset > in > element > transitive_relstr > transitive > strict_rel_str > relation > rel_str > reflexive_relstr > reflexive > one_sorted_str > meet_semilatt_str > meet_commutative > meet_associative > meet_absorbing > lattice > latt_str > join_semilatt_str > join_commutative > join_associative > join_absorbing > empty_carrier > empty > antisymmetric_relstr > antisymmetric > rel_str_of > cast_to_el_of_lattice > cast_to_el_of_LattPOSet > cartesian_product2 > #nlpp > the_carrier > the_InternalRel > relation_of_lattice > powerset > poset_of_lattice > k2_lattice3 > empty_set > #skF_7 > #skF_16 > #skF_6 > #skF_18 > #skF_17 > #skF_11 > #skF_15 > #skF_19 > #skF_14 > #skF_5 > #skF_10 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_9 > #skF_13 > #skF_4 > #skF_12

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

tff(v1_partfun1,type,
    v1_partfun1: ( $i * $i * $i ) > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(relation_of2,type,
    relation_of2: ( $i * $i * $i ) > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(cartesian_product2,type,
    cartesian_product2: ( $i * $i ) > $i ).

tff(k2_lattice3,type,
    k2_lattice3: $i > $i ).

tff(relation_of2_as_subset,type,
    relation_of2_as_subset: ( $i * $i * $i ) > $o ).

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

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

tff(f_435,negated_conjecture,
    ~ ! [A,B] :
        ( ( ~ empty_carrier(B)
          & lattice(B)
          & latt_str(B) )
       => ! [C] :
            ( element(C,the_carrier(poset_of_lattice(B)))
           => ( relstr_set_smaller(poset_of_lattice(B),A,C)
            <=> latt_element_smaller(B,cast_to_el_of_lattice(B,C),A) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t31_lattice3) ).

tff(f_118,axiom,
    ! [A] :
      ( ( ~ empty_carrier(A)
        & lattice(A)
        & latt_str(A) )
     => ! [B] :
          ( element(B,the_carrier(poset_of_lattice(A)))
         => ( cast_to_el_of_lattice(A,B) = B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_lattice3) ).

tff(f_181,axiom,
    ! [A,B] :
      ( ( ~ empty_carrier(A)
        & lattice(A)
        & latt_str(A)
        & element(B,the_carrier(poset_of_lattice(A))) )
     => element(cast_to_el_of_lattice(A,B),the_carrier(A)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lattice3) ).

tff(f_106,axiom,
    ! [A] :
      ( ( ~ empty_carrier(A)
        & lattice(A)
        & latt_str(A) )
     => ! [B] :
          ( element(B,the_carrier(A))
         => ( cast_to_el_of_LattPOSet(A,B) = B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_lattice3) ).

tff(f_420,axiom,
    ! [A,B] :
      ( ( ~ empty_carrier(B)
        & lattice(B)
        & latt_str(B) )
     => ! [C] :
          ( element(C,the_carrier(B))
         => ( latt_element_smaller(B,C,A)
          <=> relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t30_lattice3) ).

tff(c_208,plain,
    ~ empty_carrier('#skF_18'),
    inference(cnfTransformation,[status(thm)],[f_435]) ).

tff(c_206,plain,
    lattice('#skF_18'),
    inference(cnfTransformation,[status(thm)],[f_435]) ).

tff(c_204,plain,
    latt_str('#skF_18'),
    inference(cnfTransformation,[status(thm)],[f_435]) ).

tff(c_202,plain,
    element('#skF_19',the_carrier(poset_of_lattice('#skF_18'))),
    inference(cnfTransformation,[status(thm)],[f_435]) ).

tff(c_2838,plain,
    ! [A_614,B_615] :
      ( ( cast_to_el_of_lattice(A_614,B_615) = B_615 )
      | ~ element(B_615,the_carrier(poset_of_lattice(A_614)))
      | ~ latt_str(A_614)
      | ~ lattice(A_614)
      | empty_carrier(A_614) ),
    inference(cnfTransformation,[status(thm)],[f_118]) ).

tff(c_2853,plain,
    ( ( cast_to_el_of_lattice('#skF_18','#skF_19') = '#skF_19' )
    | ~ latt_str('#skF_18')
    | ~ lattice('#skF_18')
    | empty_carrier('#skF_18') ),
    inference(resolution,[status(thm)],[c_202,c_2838]) ).

tff(c_2859,plain,
    ( ( cast_to_el_of_lattice('#skF_18','#skF_19') = '#skF_19' )
    | empty_carrier('#skF_18') ),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_204,c_2853]) ).

tff(c_2860,plain,
    cast_to_el_of_lattice('#skF_18','#skF_19') = '#skF_19',
    inference(negUnitSimplification,[status(thm)],[c_208,c_2859]) ).

tff(c_1201,plain,
    ! [A_305,B_306] :
      ( ( cast_to_el_of_lattice(A_305,B_306) = B_306 )
      | ~ element(B_306,the_carrier(poset_of_lattice(A_305)))
      | ~ latt_str(A_305)
      | ~ lattice(A_305)
      | empty_carrier(A_305) ),
    inference(cnfTransformation,[status(thm)],[f_118]) ).

tff(c_1216,plain,
    ( ( cast_to_el_of_lattice('#skF_18','#skF_19') = '#skF_19' )
    | ~ latt_str('#skF_18')
    | ~ lattice('#skF_18')
    | empty_carrier('#skF_18') ),
    inference(resolution,[status(thm)],[c_202,c_1201]) ).

tff(c_1222,plain,
    ( ( cast_to_el_of_lattice('#skF_18','#skF_19') = '#skF_19' )
    | empty_carrier('#skF_18') ),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_204,c_1216]) ).

tff(c_1223,plain,
    cast_to_el_of_lattice('#skF_18','#skF_19') = '#skF_19',
    inference(negUnitSimplification,[status(thm)],[c_208,c_1222]) ).

tff(c_216,plain,
    ( relstr_set_smaller(poset_of_lattice('#skF_18'),'#skF_17','#skF_19')
    | latt_element_smaller('#skF_18',cast_to_el_of_lattice('#skF_18','#skF_19'),'#skF_17') ),
    inference(cnfTransformation,[status(thm)],[f_435]) ).

tff(c_257,plain,
    latt_element_smaller('#skF_18',cast_to_el_of_lattice('#skF_18','#skF_19'),'#skF_17'),
    inference(splitLeft,[status(thm)],[c_216]) ).

tff(c_1224,plain,
    latt_element_smaller('#skF_18','#skF_19','#skF_17'),
    inference(demodulation,[status(thm),theory(equality)],[c_1223,c_257]) ).

tff(c_1289,plain,
    ! [A_314,B_315] :
      ( element(cast_to_el_of_lattice(A_314,B_315),the_carrier(A_314))
      | ~ element(B_315,the_carrier(poset_of_lattice(A_314)))
      | ~ latt_str(A_314)
      | ~ lattice(A_314)
      | empty_carrier(A_314) ),
    inference(cnfTransformation,[status(thm)],[f_181]) ).

tff(c_1301,plain,
    ( element('#skF_19',the_carrier('#skF_18'))
    | ~ element('#skF_19',the_carrier(poset_of_lattice('#skF_18')))
    | ~ latt_str('#skF_18')
    | ~ lattice('#skF_18')
    | empty_carrier('#skF_18') ),
    inference(superposition,[status(thm),theory(equality)],[c_1223,c_1289]) ).

tff(c_1306,plain,
    ( element('#skF_19',the_carrier('#skF_18'))
    | empty_carrier('#skF_18') ),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_204,c_202,c_1301]) ).

tff(c_1307,plain,
    element('#skF_19',the_carrier('#skF_18')),
    inference(negUnitSimplification,[status(thm)],[c_208,c_1306]) ).

tff(c_28,plain,
    ! [A_10,B_12] :
      ( ( cast_to_el_of_LattPOSet(A_10,B_12) = B_12 )
      | ~ element(B_12,the_carrier(A_10))
      | ~ latt_str(A_10)
      | ~ lattice(A_10)
      | empty_carrier(A_10) ),
    inference(cnfTransformation,[status(thm)],[f_106]) ).

tff(c_1310,plain,
    ( ( cast_to_el_of_LattPOSet('#skF_18','#skF_19') = '#skF_19' )
    | ~ latt_str('#skF_18')
    | ~ lattice('#skF_18')
    | empty_carrier('#skF_18') ),
    inference(resolution,[status(thm)],[c_1307,c_28]) ).

tff(c_1315,plain,
    ( ( cast_to_el_of_LattPOSet('#skF_18','#skF_19') = '#skF_19' )
    | empty_carrier('#skF_18') ),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_204,c_1310]) ).

tff(c_1316,plain,
    cast_to_el_of_LattPOSet('#skF_18','#skF_19') = '#skF_19',
    inference(negUnitSimplification,[status(thm)],[c_208,c_1315]) ).

tff(c_1814,plain,
    ! [B_379,A_380,C_381] :
      ( relstr_set_smaller(poset_of_lattice(B_379),A_380,cast_to_el_of_LattPOSet(B_379,C_381))
      | ~ latt_element_smaller(B_379,C_381,A_380)
      | ~ element(C_381,the_carrier(B_379))
      | ~ latt_str(B_379)
      | ~ lattice(B_379)
      | empty_carrier(B_379) ),
    inference(cnfTransformation,[status(thm)],[f_420]) ).

tff(c_1820,plain,
    ! [A_380] :
      ( relstr_set_smaller(poset_of_lattice('#skF_18'),A_380,'#skF_19')
      | ~ latt_element_smaller('#skF_18','#skF_19',A_380)
      | ~ element('#skF_19',the_carrier('#skF_18'))
      | ~ latt_str('#skF_18')
      | ~ lattice('#skF_18')
      | empty_carrier('#skF_18') ),
    inference(superposition,[status(thm),theory(equality)],[c_1316,c_1814]) ).

tff(c_1824,plain,
    ! [A_380] :
      ( relstr_set_smaller(poset_of_lattice('#skF_18'),A_380,'#skF_19')
      | ~ latt_element_smaller('#skF_18','#skF_19',A_380)
      | empty_carrier('#skF_18') ),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_204,c_1307,c_1820]) ).

tff(c_1826,plain,
    ! [A_382] :
      ( relstr_set_smaller(poset_of_lattice('#skF_18'),A_382,'#skF_19')
      | ~ latt_element_smaller('#skF_18','#skF_19',A_382) ),
    inference(negUnitSimplification,[status(thm)],[c_208,c_1824]) ).

tff(c_210,plain,
    ( ~ latt_element_smaller('#skF_18',cast_to_el_of_lattice('#skF_18','#skF_19'),'#skF_17')
    | ~ relstr_set_smaller(poset_of_lattice('#skF_18'),'#skF_17','#skF_19') ),
    inference(cnfTransformation,[status(thm)],[f_435]) ).

tff(c_291,plain,
    ~ relstr_set_smaller(poset_of_lattice('#skF_18'),'#skF_17','#skF_19'),
    inference(splitLeft,[status(thm)],[c_210]) ).

tff(c_1829,plain,
    ~ latt_element_smaller('#skF_18','#skF_19','#skF_17'),
    inference(resolution,[status(thm)],[c_1826,c_291]) ).

tff(c_1833,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_1224,c_1829]) ).

tff(c_1834,plain,
    ~ latt_element_smaller('#skF_18',cast_to_el_of_lattice('#skF_18','#skF_19'),'#skF_17'),
    inference(splitRight,[status(thm)],[c_210]) ).

tff(c_1855,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1834,c_257]) ).

tff(c_1857,plain,
    ~ latt_element_smaller('#skF_18',cast_to_el_of_lattice('#skF_18','#skF_19'),'#skF_17'),
    inference(splitRight,[status(thm)],[c_216]) ).

tff(c_2861,plain,
    ~ latt_element_smaller('#skF_18','#skF_19','#skF_17'),
    inference(demodulation,[status(thm),theory(equality)],[c_2860,c_1857]) ).

tff(c_1856,plain,
    relstr_set_smaller(poset_of_lattice('#skF_18'),'#skF_17','#skF_19'),
    inference(splitRight,[status(thm)],[c_216]) ).

tff(c_2906,plain,
    ! [A_623,B_624] :
      ( element(cast_to_el_of_lattice(A_623,B_624),the_carrier(A_623))
      | ~ element(B_624,the_carrier(poset_of_lattice(A_623)))
      | ~ latt_str(A_623)
      | ~ lattice(A_623)
      | empty_carrier(A_623) ),
    inference(cnfTransformation,[status(thm)],[f_181]) ).

tff(c_2918,plain,
    ( element('#skF_19',the_carrier('#skF_18'))
    | ~ element('#skF_19',the_carrier(poset_of_lattice('#skF_18')))
    | ~ latt_str('#skF_18')
    | ~ lattice('#skF_18')
    | empty_carrier('#skF_18') ),
    inference(superposition,[status(thm),theory(equality)],[c_2860,c_2906]) ).

tff(c_2923,plain,
    ( element('#skF_19',the_carrier('#skF_18'))
    | empty_carrier('#skF_18') ),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_204,c_202,c_2918]) ).

tff(c_2924,plain,
    element('#skF_19',the_carrier('#skF_18')),
    inference(negUnitSimplification,[status(thm)],[c_208,c_2923]) ).

tff(c_2927,plain,
    ( ( cast_to_el_of_LattPOSet('#skF_18','#skF_19') = '#skF_19' )
    | ~ latt_str('#skF_18')
    | ~ lattice('#skF_18')
    | empty_carrier('#skF_18') ),
    inference(resolution,[status(thm)],[c_2924,c_28]) ).

tff(c_2932,plain,
    ( ( cast_to_el_of_LattPOSet('#skF_18','#skF_19') = '#skF_19' )
    | empty_carrier('#skF_18') ),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_204,c_2927]) ).

tff(c_2933,plain,
    cast_to_el_of_LattPOSet('#skF_18','#skF_19') = '#skF_19',
    inference(negUnitSimplification,[status(thm)],[c_208,c_2932]) ).

tff(c_3491,plain,
    ! [B_697,C_698,A_699] :
      ( latt_element_smaller(B_697,C_698,A_699)
      | ~ relstr_set_smaller(poset_of_lattice(B_697),A_699,cast_to_el_of_LattPOSet(B_697,C_698))
      | ~ element(C_698,the_carrier(B_697))
      | ~ latt_str(B_697)
      | ~ lattice(B_697)
      | empty_carrier(B_697) ),
    inference(cnfTransformation,[status(thm)],[f_420]) ).

tff(c_3500,plain,
    ! [A_699] :
      ( latt_element_smaller('#skF_18','#skF_19',A_699)
      | ~ relstr_set_smaller(poset_of_lattice('#skF_18'),A_699,'#skF_19')
      | ~ element('#skF_19',the_carrier('#skF_18'))
      | ~ latt_str('#skF_18')
      | ~ lattice('#skF_18')
      | empty_carrier('#skF_18') ),
    inference(superposition,[status(thm),theory(equality)],[c_2933,c_3491]) ).

tff(c_3505,plain,
    ! [A_699] :
      ( latt_element_smaller('#skF_18','#skF_19',A_699)
      | ~ relstr_set_smaller(poset_of_lattice('#skF_18'),A_699,'#skF_19')
      | empty_carrier('#skF_18') ),
    inference(demodulation,[status(thm),theory(equality)],[c_206,c_204,c_2924,c_3500]) ).

tff(c_3507,plain,
    ! [A_700] :
      ( latt_element_smaller('#skF_18','#skF_19',A_700)
      | ~ relstr_set_smaller(poset_of_lattice('#skF_18'),A_700,'#skF_19') ),
    inference(negUnitSimplification,[status(thm)],[c_208,c_3505]) ).

tff(c_3513,plain,
    latt_element_smaller('#skF_18','#skF_19','#skF_17'),
    inference(resolution,[status(thm)],[c_1856,c_3507]) ).

tff(c_3518,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_2861,c_3513]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU350+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14  % 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
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 11:42:48 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 8.14/2.95  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.14/2.96  
% 8.14/2.96  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.49/2.99  
% 8.49/2.99  Inference rules
% 8.49/2.99  ----------------------
% 8.49/2.99  #Ref     : 6
% 8.49/2.99  #Sup     : 727
% 8.49/2.99  #Fact    : 0
% 8.49/2.99  #Define  : 0
% 8.49/2.99  #Split   : 19
% 8.49/2.99  #Chain   : 0
% 8.49/2.99  #Close   : 0
% 8.49/2.99  
% 8.49/2.99  Ordering : KBO
% 8.49/2.99  
% 8.49/2.99  Simplification rules
% 8.49/2.99  ----------------------
% 8.49/2.99  #Subsume      : 195
% 8.49/2.99  #Demod        : 165
% 8.49/2.99  #Tautology    : 138
% 8.49/2.99  #SimpNegUnit  : 105
% 8.49/2.99  #BackRed      : 14
% 8.49/2.99  
% 8.49/2.99  #Partial instantiations: 0
% 8.49/2.99  #Strategies tried      : 1
% 8.49/2.99  
% 8.49/2.99  Timing (in seconds)
% 8.49/2.99  ----------------------
% 8.49/3.00  Preprocessing        : 0.66
% 8.49/3.00  Parsing              : 0.34
% 8.49/3.00  CNF conversion       : 0.06
% 8.49/3.00  Main loop            : 1.27
% 8.49/3.00  Inferencing          : 0.51
% 8.49/3.00  Reduction            : 0.38
% 8.49/3.00  Demodulation         : 0.26
% 8.49/3.00  BG Simplification    : 0.05
% 8.49/3.00  Subsumption          : 0.23
% 8.49/3.00  Abstraction          : 0.04
% 8.49/3.00  MUC search           : 0.00
% 8.49/3.00  Cooper               : 0.00
% 8.49/3.00  Total                : 1.99
% 8.49/3.00  Index Insertion      : 0.00
% 8.49/3.00  Index Deletion       : 0.00
% 8.49/3.00  Index Matching       : 0.00
% 8.49/3.00  BG Taut test         : 0.00
%------------------------------------------------------------------------------