TSTP Solution File: SEU371+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SEU371+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/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 : 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 10:58:33 EDT 2023

% Result   : Theorem 11.63s 3.76s
% Output   : CNFRefutation 11.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :  110
% Syntax   : Number of formulae    :  138 (  21 unt;  98 typ;   0 def)
%            Number of atoms       :  113 (  29 equ)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :   99 (  26   ~;  24   |;  45   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  105 (  76   >;  29   *;   0   +;   0  <<)
%            Number of predicates  :   48 (  46 usr;   1 prp; 0-3 aty)
%            Number of functors    :   52 (  52 usr;  22 con; 0-3 aty)
%            Number of variables   :   40 (;  39   !;   1   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ v1_partfun1 > relation_of2_as_subset > relation_of2 > quasi_total > latt_set_smaller > subset > in > element > with_suprema_relstr > with_infima_relstr > upper_bounded_semilattstr > upper_bounded_relstr > transitive_relstr > transitive > strict_rel_str > strict_latt_str > relation > rel_str > reflexive_relstr > reflexive > one_sorted_str > modular_lattstr > meet_semilatt_str > meet_commutative > meet_associative > meet_absorbing > lower_bounded_semilattstr > lower_bounded_relstr > lattice > latt_str > join_semilatt_str > join_commutative > join_associative > join_absorbing > function > empty_carrier > empty > distributive_lattstr > complete_relstr > complete_latt_str > complemented_lattstr > bounded_relstr > bounded_lattstr > boolean_lattstr > antisymmetric_relstr > antisymmetric > latt_str_of > rel_str_of > meet_on_relstr > meet_of_latt_set > join_on_relstr > join_of_latt_set > cartesian_product2 > a_2_2_lattice3 > #nlpp > the_carrier > the_L_meet > the_L_join > the_InternalRel > relation_of_lattice > powerset > poset_of_lattice > k2_lattice3 > bottom_of_semilattstr > bottom_of_relstr > boole_lattice > boole_POSet > empty_set > #skF_7 > #skF_21 > #skF_16 > #skF_6 > #skF_18 > #skF_17 > #skF_11 > #skF_30 > #skF_15 > #skF_25 > #skF_20 > #skF_19 > #skF_31 > #skF_10 > #skF_14 > #skF_5 > #skF_13 > #skF_2 > #skF_3 > #skF_1 > #skF_8 > #skF_9 > #skF_26 > #skF_4 > #skF_22 > #skF_29 > #skF_28 > #skF_24 > #skF_27 > #skF_23 > #skF_12

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

tff('#skF_21',type,
    '#skF_21': $i > $i ).

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

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

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

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

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

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

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

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

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

tff('#skF_30',type,
    '#skF_30': ( $i * $i ) > $i ).

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

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

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

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

tff('#skF_25',type,
    '#skF_25': $i ).

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

tff('#skF_20',type,
    '#skF_20': ( $i * $i ) > $i ).

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

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

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

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

tff('#skF_31',type,
    '#skF_31': ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(meet_of_latt_set,type,
    meet_of_latt_set: ( $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(strict_latt_str,type,
    strict_latt_str: $i > $o ).

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

tff(a_2_2_lattice3,type,
    a_2_2_lattice3: ( $i * $i ) > $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('#skF_9',type,
    '#skF_9': ( $i * $i * $i ) > $i ).

tff('#skF_26',type,
    '#skF_26': $i > $i ).

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

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

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

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

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

tff('#skF_22',type,
    '#skF_22': $i ).

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

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

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

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

tff('#skF_29',type,
    '#skF_29': $i ).

tff('#skF_28',type,
    '#skF_28': $i ).

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

tff('#skF_24',type,
    '#skF_24': $i ).

tff('#skF_27',type,
    '#skF_27': $i ).

tff('#skF_23',type,
    '#skF_23': $i ).

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

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

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

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

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

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

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

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(complete_latt_str,type,
    complete_latt_str: $i > $o ).

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

tff(f_642,axiom,
    ! [A] :
      ( ~ empty_carrier(boole_lattice(A))
      & strict_latt_str(boole_lattice(A))
      & join_commutative(boole_lattice(A))
      & join_associative(boole_lattice(A))
      & meet_commutative(boole_lattice(A))
      & meet_associative(boole_lattice(A))
      & meet_absorbing(boole_lattice(A))
      & join_absorbing(boole_lattice(A))
      & lattice(boole_lattice(A))
      & distributive_lattstr(boole_lattice(A))
      & modular_lattstr(boole_lattice(A))
      & lower_bounded_semilattstr(boole_lattice(A))
      & upper_bounded_semilattstr(boole_lattice(A))
      & bounded_lattstr(boole_lattice(A))
      & complemented_lattstr(boole_lattice(A))
      & boolean_lattstr(boole_lattice(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_lattice3) ).

tff(f_497,axiom,
    ! [A] :
      ( ~ empty_carrier(boole_lattice(A))
      & strict_latt_str(boole_lattice(A))
      & join_commutative(boole_lattice(A))
      & join_associative(boole_lattice(A))
      & meet_commutative(boole_lattice(A))
      & meet_associative(boole_lattice(A))
      & meet_absorbing(boole_lattice(A))
      & join_absorbing(boole_lattice(A))
      & lattice(boole_lattice(A))
      & distributive_lattstr(boole_lattice(A))
      & modular_lattstr(boole_lattice(A))
      & lower_bounded_semilattstr(boole_lattice(A))
      & upper_bounded_semilattstr(boole_lattice(A))
      & bounded_lattstr(boole_lattice(A))
      & complemented_lattstr(boole_lattice(A))
      & boolean_lattstr(boole_lattice(A))
      & complete_latt_str(boole_lattice(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_knaster) ).

tff(f_334,axiom,
    ! [A] :
      ( strict_latt_str(boole_lattice(A))
      & latt_str(boole_lattice(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice3) ).

tff(f_991,axiom,
    ? [A] : empty(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).

tff(f_1203,axiom,
    ! [A] :
      ( empty(A)
     => ( A = empty_set ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

tff(f_1162,axiom,
    ! [A] :
      ( lower_bounded_semilattstr(boole_lattice(A))
      & ( bottom_of_semilattstr(boole_lattice(A)) = empty_set ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_lattice3) ).

tff(f_1192,axiom,
    ! [A] :
      ( ( ~ empty_carrier(A)
        & lattice(A)
        & complete_latt_str(A)
        & latt_str(A) )
     => ( ~ empty_carrier(A)
        & lattice(A)
        & lower_bounded_semilattstr(A)
        & latt_str(A)
        & ( bottom_of_semilattstr(A) = join_of_latt_set(A,empty_set) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_lattice3) ).

tff(f_294,axiom,
    ! [A] : ( boole_POSet(A) = poset_of_lattice(boole_lattice(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_yellow_1) ).

tff(f_1145,axiom,
    ! [A] :
      ( ( ~ empty_carrier(A)
        & lattice(A)
        & complete_latt_str(A)
        & latt_str(A) )
     => ! [B] :
          ( ( join_of_latt_set(A,B) = join_on_relstr(poset_of_lattice(A),B) )
          & ( meet_of_latt_set(A,B) = meet_on_relstr(poset_of_lattice(A),B) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_yellow_0) ).

tff(f_385,axiom,
    ! [A] :
      ( strict_rel_str(boole_POSet(A))
      & rel_str(boole_POSet(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).

tff(f_275,axiom,
    ! [A] :
      ( rel_str(A)
     => ( bottom_of_relstr(A) = join_on_relstr(A,empty_set) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_yellow_0) ).

tff(f_1127,negated_conjecture,
    ~ ! [A] : ( bottom_of_relstr(boole_POSet(A)) = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_yellow_1) ).

tff(c_334,plain,
    ! [A_76] : ~ empty_carrier(boole_lattice(A_76)),
    inference(cnfTransformation,[status(thm)],[f_642]) ).

tff(c_260,plain,
    ! [A_66] : complete_latt_str(boole_lattice(A_66)),
    inference(cnfTransformation,[status(thm)],[f_497]) ).

tff(c_136,plain,
    ! [A_37] : latt_str(boole_lattice(A_37)),
    inference(cnfTransformation,[status(thm)],[f_334]) ).

tff(c_614,plain,
    empty('#skF_17'),
    inference(cnfTransformation,[status(thm)],[f_991]) ).

tff(c_835,plain,
    ! [A_183] :
      ( ( empty_set = A_183 )
      | ~ empty(A_183) ),
    inference(cnfTransformation,[status(thm)],[f_1203]) ).

tff(c_848,plain,
    empty_set = '#skF_17',
    inference(resolution,[status(thm)],[c_614,c_835]) ).

tff(c_746,plain,
    ! [A_135] : ( bottom_of_semilattstr(boole_lattice(A_135)) = empty_set ),
    inference(cnfTransformation,[status(thm)],[f_1162]) ).

tff(c_867,plain,
    ! [A_135] : ( bottom_of_semilattstr(boole_lattice(A_135)) = '#skF_17' ),
    inference(demodulation,[status(thm),theory(equality)],[c_848,c_746]) ).

tff(c_350,plain,
    ! [A_76] : lattice(boole_lattice(A_76)),
    inference(cnfTransformation,[status(thm)],[f_642]) ).

tff(c_754,plain,
    ! [A_141] :
      ( ( join_of_latt_set(A_141,empty_set) = bottom_of_semilattstr(A_141) )
      | ~ latt_str(A_141)
      | ~ complete_latt_str(A_141)
      | ~ lattice(A_141)
      | empty_carrier(A_141) ),
    inference(cnfTransformation,[status(thm)],[f_1192]) ).

tff(c_4108,plain,
    ! [A_564] :
      ( ( join_of_latt_set(A_564,'#skF_17') = bottom_of_semilattstr(A_564) )
      | ~ latt_str(A_564)
      | ~ complete_latt_str(A_564)
      | ~ lattice(A_564)
      | empty_carrier(A_564) ),
    inference(demodulation,[status(thm),theory(equality)],[c_848,c_754]) ).

tff(c_4111,plain,
    ! [A_76] :
      ( ( join_of_latt_set(boole_lattice(A_76),'#skF_17') = bottom_of_semilattstr(boole_lattice(A_76)) )
      | ~ latt_str(boole_lattice(A_76))
      | ~ complete_latt_str(boole_lattice(A_76))
      | empty_carrier(boole_lattice(A_76)) ),
    inference(resolution,[status(thm)],[c_350,c_4108]) ).

tff(c_4129,plain,
    ! [A_76] :
      ( ( join_of_latt_set(boole_lattice(A_76),'#skF_17') = '#skF_17' )
      | empty_carrier(boole_lattice(A_76)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_260,c_136,c_867,c_4111]) ).

tff(c_4130,plain,
    ! [A_76] : ( join_of_latt_set(boole_lattice(A_76),'#skF_17') = '#skF_17' ),
    inference(negUnitSimplification,[status(thm)],[c_334,c_4129]) ).

tff(c_120,plain,
    ! [A_27] : ( poset_of_lattice(boole_lattice(A_27)) = boole_POSet(A_27) ),
    inference(cnfTransformation,[status(thm)],[f_294]) ).

tff(c_4272,plain,
    ! [A_575,B_576] :
      ( ( join_on_relstr(poset_of_lattice(A_575),B_576) = join_of_latt_set(A_575,B_576) )
      | ~ latt_str(A_575)
      | ~ complete_latt_str(A_575)
      | ~ lattice(A_575)
      | empty_carrier(A_575) ),
    inference(cnfTransformation,[status(thm)],[f_1145]) ).

tff(c_4284,plain,
    ! [A_27,B_576] :
      ( ( join_on_relstr(boole_POSet(A_27),B_576) = join_of_latt_set(boole_lattice(A_27),B_576) )
      | ~ latt_str(boole_lattice(A_27))
      | ~ complete_latt_str(boole_lattice(A_27))
      | ~ lattice(boole_lattice(A_27))
      | empty_carrier(boole_lattice(A_27)) ),
    inference(superposition,[status(thm),theory(equality)],[c_120,c_4272]) ).

tff(c_4288,plain,
    ! [A_27,B_576] :
      ( ( join_on_relstr(boole_POSet(A_27),B_576) = join_of_latt_set(boole_lattice(A_27),B_576) )
      | empty_carrier(boole_lattice(A_27)) ),
    inference(demodulation,[status(thm),theory(equality)],[c_350,c_260,c_136,c_4284]) ).

tff(c_4290,plain,
    ! [A_577,B_578] : ( join_on_relstr(boole_POSet(A_577),B_578) = join_of_latt_set(boole_lattice(A_577),B_578) ),
    inference(negUnitSimplification,[status(thm)],[c_334,c_4288]) ).

tff(c_172,plain,
    ! [A_45] : rel_str(boole_POSet(A_45)),
    inference(cnfTransformation,[status(thm)],[f_385]) ).

tff(c_114,plain,
    ! [A_22] :
      ( ( join_on_relstr(A_22,empty_set) = bottom_of_relstr(A_22) )
      | ~ rel_str(A_22) ),
    inference(cnfTransformation,[status(thm)],[f_275]) ).

tff(c_1753,plain,
    ! [A_307] :
      ( ( join_on_relstr(A_307,'#skF_17') = bottom_of_relstr(A_307) )
      | ~ rel_str(A_307) ),
    inference(demodulation,[status(thm),theory(equality)],[c_848,c_114]) ).

tff(c_1775,plain,
    ! [A_45] : ( join_on_relstr(boole_POSet(A_45),'#skF_17') = bottom_of_relstr(boole_POSet(A_45)) ),
    inference(resolution,[status(thm)],[c_172,c_1753]) ).

tff(c_4300,plain,
    ! [A_577] : ( join_of_latt_set(boole_lattice(A_577),'#skF_17') = bottom_of_relstr(boole_POSet(A_577)) ),
    inference(superposition,[status(thm),theory(equality)],[c_4290,c_1775]) ).

tff(c_4310,plain,
    ! [A_577] : ( bottom_of_relstr(boole_POSet(A_577)) = '#skF_17' ),
    inference(demodulation,[status(thm),theory(equality)],[c_4130,c_4300]) ).

tff(c_726,plain,
    bottom_of_relstr(boole_POSet('#skF_29')) != empty_set,
    inference(cnfTransformation,[status(thm)],[f_1127]) ).

tff(c_851,plain,
    bottom_of_relstr(boole_POSet('#skF_29')) != '#skF_17',
    inference(demodulation,[status(thm),theory(equality)],[c_848,c_726]) ).

tff(c_4317,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_4310,c_851]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU371+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % 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
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug  3 11:36:48 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 11.63/3.76  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.63/3.77  
% 11.63/3.77  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.72/3.80  
% 11.72/3.80  Inference rules
% 11.72/3.80  ----------------------
% 11.72/3.80  #Ref     : 2
% 11.72/3.80  #Sup     : 720
% 11.72/3.80  #Fact    : 0
% 11.72/3.80  #Define  : 0
% 11.72/3.80  #Split   : 42
% 11.72/3.80  #Chain   : 0
% 11.72/3.80  #Close   : 0
% 11.72/3.80  
% 11.72/3.80  Ordering : KBO
% 11.72/3.80  
% 11.72/3.80  Simplification rules
% 11.72/3.80  ----------------------
% 11.72/3.80  #Subsume      : 169
% 11.72/3.80  #Demod        : 341
% 11.72/3.80  #Tautology    : 285
% 11.72/3.80  #SimpNegUnit  : 157
% 11.72/3.80  #BackRed      : 8
% 11.72/3.80  
% 11.72/3.80  #Partial instantiations: 0
% 11.72/3.80  #Strategies tried      : 1
% 11.72/3.80  
% 11.72/3.80  Timing (in seconds)
% 11.72/3.80  ----------------------
% 11.72/3.80  Preprocessing        : 0.85
% 11.72/3.80  Parsing              : 0.42
% 11.72/3.80  CNF conversion       : 0.08
% 11.72/3.80  Main loop            : 1.86
% 11.72/3.80  Inferencing          : 0.59
% 11.72/3.80  Reduction            : 0.72
% 11.72/3.80  Demodulation         : 0.51
% 11.72/3.80  BG Simplification    : 0.08
% 11.72/3.80  Subsumption          : 0.32
% 11.72/3.80  Abstraction          : 0.04
% 11.72/3.80  MUC search           : 0.00
% 11.72/3.80  Cooper               : 0.00
% 11.72/3.80  Total                : 2.76
% 11.72/3.80  Index Insertion      : 0.00
% 11.72/3.80  Index Deletion       : 0.00
% 11.72/3.81  Index Matching       : 0.00
% 11.72/3.81  BG Taut test         : 0.00
%------------------------------------------------------------------------------