TSTP Solution File: SEU304+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SEU304+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 : n002.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 10:58:20 EDT 2023

% Result   : Theorem 6.63s 2.53s
% Output   : CNFRefutation 6.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  101 (  22 unt;  44 typ;   0 def)
%            Number of atoms       :  170 (  32 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  188 (  75   ~;  80   |;  18   &)
%                                         (   2 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   62 (  35   >;  27   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-3 aty)
%            Number of functors    :   25 (  25 usr;   9 con; 0-6 aty)
%            Number of variables   :   54 (;  54   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ relation_of2_as_subset > relation_of2 > quasi_total > below > subset > in > element > preboolean > one_sorted_str > meet_semilatt_str > meet_commutative > meet_absorbing > latt_str > join_semilatt_str > function > empty_carrier > empty > diff_closed > cup_closed > apply_binary_as_element > meet_commut > meet > join > apply_binary > cartesian_product2 > #nlpp > the_carrier > the_L_meet > the_L_join > powerset > empty_set > #skF_2 > #skF_1 > #skF_8 > #skF_10 > #skF_14 > #skF_5 > #skF_6 > #skF_13 > #skF_3 > #skF_4 > #skF_11 > #skF_7 > #skF_9 > #skF_12

%Foreground sorts:

%Background operators:

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

tff(relation_of2,type,
    relation_of2: ( $i * $i * $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_11',type,
    '#skF_11': $i > $i ).

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

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

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

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

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

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

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

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

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

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

tff(f_309,negated_conjecture,
    ~ ! [A] :
        ( ( ~ empty_carrier(A)
          & meet_commutative(A)
          & meet_absorbing(A)
          & latt_str(A) )
       => ! [B] :
            ( element(B,the_carrier(A))
           => ! [C] :
                ( element(C,the_carrier(A))
               => below(A,meet_commut(A,B,C),B) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_lattices) ).

tff(f_180,axiom,
    ! [A] :
      ( latt_str(A)
     => ( meet_semilatt_str(A)
        & join_semilatt_str(A) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).

tff(f_281,axiom,
    ! [A,B,C] :
      ( ( ~ empty_carrier(A)
        & meet_commutative(A)
        & meet_semilatt_str(A)
        & element(B,the_carrier(A))
        & element(C,the_carrier(A)) )
     => ( meet_commut(A,B,C) = meet(A,B,C) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_lattices) ).

tff(f_56,axiom,
    ! [A,B,C] :
      ( ( ~ empty_carrier(A)
        & meet_commutative(A)
        & meet_semilatt_str(A)
        & element(B,the_carrier(A))
        & element(C,the_carrier(A)) )
     => ( meet_commut(A,B,C) = meet_commut(A,C,B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k4_lattices) ).

tff(f_112,axiom,
    ! [A] :
      ( ( ~ empty_carrier(A)
        & latt_str(A) )
     => ( meet_absorbing(A)
      <=> ! [B] :
            ( element(B,the_carrier(A))
           => ! [C] :
                ( element(C,the_carrier(A))
               => ( join(A,meet(A,B,C),C) = C ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattices) ).

tff(f_166,axiom,
    ! [A,B,C] :
      ( ( ~ empty_carrier(A)
        & meet_commutative(A)
        & meet_semilatt_str(A)
        & element(B,the_carrier(A))
        & element(C,the_carrier(A)) )
     => element(meet_commut(A,B,C),the_carrier(A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_lattices) ).

tff(f_97,axiom,
    ! [A] :
      ( ( ~ empty_carrier(A)
        & join_semilatt_str(A) )
     => ! [B] :
          ( element(B,the_carrier(A))
         => ! [C] :
              ( element(C,the_carrier(A))
             => ( below(A,B,C)
              <=> ( join(A,B,C) = C ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_lattices) ).

tff(c_122,plain,
    element('#skF_13',the_carrier('#skF_12')),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_124,plain,
    latt_str('#skF_12'),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_52,plain,
    ! [A_57] :
      ( meet_semilatt_str(A_57)
      | ~ latt_str(A_57) ),
    inference(cnfTransformation,[status(thm)],[f_180]) ).

tff(c_130,plain,
    ~ empty_carrier('#skF_12'),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_128,plain,
    meet_commutative('#skF_12'),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_965,plain,
    ! [A_271,B_272,C_273] :
      ( ( meet_commut(A_271,B_272,C_273) = meet(A_271,B_272,C_273) )
      | ~ element(C_273,the_carrier(A_271))
      | ~ element(B_272,the_carrier(A_271))
      | ~ meet_semilatt_str(A_271)
      | ~ meet_commutative(A_271)
      | empty_carrier(A_271) ),
    inference(cnfTransformation,[status(thm)],[f_281]) ).

tff(c_992,plain,
    ! [B_272] :
      ( ( meet_commut('#skF_12',B_272,'#skF_13') = meet('#skF_12',B_272,'#skF_13') )
      | ~ element(B_272,the_carrier('#skF_12'))
      | ~ meet_semilatt_str('#skF_12')
      | ~ meet_commutative('#skF_12')
      | empty_carrier('#skF_12') ),
    inference(resolution,[status(thm)],[c_122,c_965]) ).

tff(c_1007,plain,
    ! [B_272] :
      ( ( meet_commut('#skF_12',B_272,'#skF_13') = meet('#skF_12',B_272,'#skF_13') )
      | ~ element(B_272,the_carrier('#skF_12'))
      | ~ meet_semilatt_str('#skF_12')
      | empty_carrier('#skF_12') ),
    inference(demodulation,[status(thm),theory(equality)],[c_128,c_992]) ).

tff(c_1008,plain,
    ! [B_272] :
      ( ( meet_commut('#skF_12',B_272,'#skF_13') = meet('#skF_12',B_272,'#skF_13') )
      | ~ element(B_272,the_carrier('#skF_12'))
      | ~ meet_semilatt_str('#skF_12') ),
    inference(negUnitSimplification,[status(thm)],[c_130,c_1007]) ).

tff(c_1060,plain,
    ~ meet_semilatt_str('#skF_12'),
    inference(splitLeft,[status(thm)],[c_1008]) ).

tff(c_1063,plain,
    ~ latt_str('#skF_12'),
    inference(resolution,[status(thm)],[c_52,c_1060]) ).

tff(c_1067,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_124,c_1063]) ).

tff(c_1069,plain,
    meet_semilatt_str('#skF_12'),
    inference(splitRight,[status(thm)],[c_1008]) ).

tff(c_120,plain,
    element('#skF_14',the_carrier('#skF_12')),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_994,plain,
    ! [B_272] :
      ( ( meet_commut('#skF_12',B_272,'#skF_14') = meet('#skF_12',B_272,'#skF_14') )
      | ~ element(B_272,the_carrier('#skF_12'))
      | ~ meet_semilatt_str('#skF_12')
      | ~ meet_commutative('#skF_12')
      | empty_carrier('#skF_12') ),
    inference(resolution,[status(thm)],[c_120,c_965]) ).

tff(c_1011,plain,
    ! [B_272] :
      ( ( meet_commut('#skF_12',B_272,'#skF_14') = meet('#skF_12',B_272,'#skF_14') )
      | ~ element(B_272,the_carrier('#skF_12'))
      | ~ meet_semilatt_str('#skF_12')
      | empty_carrier('#skF_12') ),
    inference(demodulation,[status(thm),theory(equality)],[c_128,c_994]) ).

tff(c_1012,plain,
    ! [B_272] :
      ( ( meet_commut('#skF_12',B_272,'#skF_14') = meet('#skF_12',B_272,'#skF_14') )
      | ~ element(B_272,the_carrier('#skF_12'))
      | ~ meet_semilatt_str('#skF_12') ),
    inference(negUnitSimplification,[status(thm)],[c_130,c_1011]) ).

tff(c_1695,plain,
    ! [B_306] :
      ( ( meet_commut('#skF_12',B_306,'#skF_14') = meet('#skF_12',B_306,'#skF_14') )
      | ~ element(B_306,the_carrier('#skF_12')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1069,c_1012]) ).

tff(c_1785,plain,
    meet_commut('#skF_12','#skF_13','#skF_14') = meet('#skF_12','#skF_13','#skF_14'),
    inference(resolution,[status(thm)],[c_122,c_1695]) ).

tff(c_118,plain,
    ~ below('#skF_12',meet_commut('#skF_12','#skF_13','#skF_14'),'#skF_13'),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_1787,plain,
    ~ below('#skF_12',meet('#skF_12','#skF_13','#skF_14'),'#skF_13'),
    inference(demodulation,[status(thm),theory(equality)],[c_1785,c_118]) ).

tff(c_1446,plain,
    ! [B_299] :
      ( ( meet_commut('#skF_12',B_299,'#skF_13') = meet('#skF_12',B_299,'#skF_13') )
      | ~ element(B_299,the_carrier('#skF_12')) ),
    inference(splitRight,[status(thm)],[c_1008]) ).

tff(c_1529,plain,
    meet_commut('#skF_12','#skF_14','#skF_13') = meet('#skF_12','#skF_14','#skF_13'),
    inference(resolution,[status(thm)],[c_120,c_1446]) ).

tff(c_806,plain,
    ! [A_265,C_266,B_267] :
      ( ( meet_commut(A_265,C_266,B_267) = meet_commut(A_265,B_267,C_266) )
      | ~ element(C_266,the_carrier(A_265))
      | ~ element(B_267,the_carrier(A_265))
      | ~ meet_semilatt_str(A_265)
      | ~ meet_commutative(A_265)
      | empty_carrier(A_265) ),
    inference(cnfTransformation,[status(thm)],[f_56]) ).

tff(c_830,plain,
    ! [B_267] :
      ( ( meet_commut('#skF_12',B_267,'#skF_13') = meet_commut('#skF_12','#skF_13',B_267) )
      | ~ element(B_267,the_carrier('#skF_12'))
      | ~ meet_semilatt_str('#skF_12')
      | ~ meet_commutative('#skF_12')
      | empty_carrier('#skF_12') ),
    inference(resolution,[status(thm)],[c_122,c_806]) ).

tff(c_844,plain,
    ! [B_267] :
      ( ( meet_commut('#skF_12',B_267,'#skF_13') = meet_commut('#skF_12','#skF_13',B_267) )
      | ~ element(B_267,the_carrier('#skF_12'))
      | ~ meet_semilatt_str('#skF_12')
      | empty_carrier('#skF_12') ),
    inference(demodulation,[status(thm),theory(equality)],[c_128,c_830]) ).

tff(c_845,plain,
    ! [B_267] :
      ( ( meet_commut('#skF_12',B_267,'#skF_13') = meet_commut('#skF_12','#skF_13',B_267) )
      | ~ element(B_267,the_carrier('#skF_12'))
      | ~ meet_semilatt_str('#skF_12') ),
    inference(negUnitSimplification,[status(thm)],[c_130,c_844]) ).

tff(c_1995,plain,
    ! [B_313] :
      ( ( meet_commut('#skF_12',B_313,'#skF_13') = meet_commut('#skF_12','#skF_13',B_313) )
      | ~ element(B_313,the_carrier('#skF_12')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_1069,c_845]) ).

tff(c_2061,plain,
    meet_commut('#skF_12','#skF_14','#skF_13') = meet_commut('#skF_12','#skF_13','#skF_14'),
    inference(resolution,[status(thm)],[c_120,c_1995]) ).

tff(c_2096,plain,
    meet('#skF_12','#skF_14','#skF_13') = meet('#skF_12','#skF_13','#skF_14'),
    inference(demodulation,[status(thm),theory(equality)],[c_1785,c_1529,c_2061]) ).

tff(c_126,plain,
    meet_absorbing('#skF_12'),
    inference(cnfTransformation,[status(thm)],[f_309]) ).

tff(c_1117,plain,
    ! [A_279,B_280,C_281] :
      ( ( join(A_279,meet(A_279,B_280,C_281),C_281) = C_281 )
      | ~ element(C_281,the_carrier(A_279))
      | ~ element(B_280,the_carrier(A_279))
      | ~ meet_absorbing(A_279)
      | ~ latt_str(A_279)
      | empty_carrier(A_279) ),
    inference(cnfTransformation,[status(thm)],[f_112]) ).

tff(c_1150,plain,
    ! [B_280] :
      ( ( join('#skF_12',meet('#skF_12',B_280,'#skF_13'),'#skF_13') = '#skF_13' )
      | ~ element(B_280,the_carrier('#skF_12'))
      | ~ meet_absorbing('#skF_12')
      | ~ latt_str('#skF_12')
      | empty_carrier('#skF_12') ),
    inference(resolution,[status(thm)],[c_122,c_1117]) ).

tff(c_1167,plain,
    ! [B_280] :
      ( ( join('#skF_12',meet('#skF_12',B_280,'#skF_13'),'#skF_13') = '#skF_13' )
      | ~ element(B_280,the_carrier('#skF_12'))
      | empty_carrier('#skF_12') ),
    inference(demodulation,[status(thm),theory(equality)],[c_124,c_126,c_1150]) ).

tff(c_1176,plain,
    ! [B_284] :
      ( ( join('#skF_12',meet('#skF_12',B_284,'#skF_13'),'#skF_13') = '#skF_13' )
      | ~ element(B_284,the_carrier('#skF_12')) ),
    inference(negUnitSimplification,[status(thm)],[c_130,c_1167]) ).

tff(c_1259,plain,
    join('#skF_12',meet('#skF_12','#skF_14','#skF_13'),'#skF_13') = '#skF_13',
    inference(resolution,[status(thm)],[c_120,c_1176]) ).

tff(c_42,plain,
    ! [A_52,B_53,C_54] :
      ( element(meet_commut(A_52,B_53,C_54),the_carrier(A_52))
      | ~ element(C_54,the_carrier(A_52))
      | ~ element(B_53,the_carrier(A_52))
      | ~ meet_semilatt_str(A_52)
      | ~ meet_commutative(A_52)
      | empty_carrier(A_52) ),
    inference(cnfTransformation,[status(thm)],[f_166]) ).

tff(c_1598,plain,
    ( element(meet('#skF_12','#skF_14','#skF_13'),the_carrier('#skF_12'))
    | ~ element('#skF_13',the_carrier('#skF_12'))
    | ~ element('#skF_14',the_carrier('#skF_12'))
    | ~ meet_semilatt_str('#skF_12')
    | ~ meet_commutative('#skF_12')
    | empty_carrier('#skF_12') ),
    inference(superposition,[status(thm),theory(equality)],[c_1529,c_42]) ).

tff(c_1602,plain,
    ( element(meet('#skF_12','#skF_14','#skF_13'),the_carrier('#skF_12'))
    | empty_carrier('#skF_12') ),
    inference(demodulation,[status(thm),theory(equality)],[c_128,c_1069,c_120,c_122,c_1598]) ).

tff(c_1603,plain,
    element(meet('#skF_12','#skF_14','#skF_13'),the_carrier('#skF_12')),
    inference(negUnitSimplification,[status(thm)],[c_130,c_1602]) ).

tff(c_167,plain,
    ! [A_120] :
      ( join_semilatt_str(A_120)
      | ~ latt_str(A_120) ),
    inference(cnfTransformation,[status(thm)],[f_180]) ).

tff(c_174,plain,
    join_semilatt_str('#skF_12'),
    inference(resolution,[status(thm)],[c_124,c_167]) ).

tff(c_609,plain,
    ! [A_244,B_245,C_246] :
      ( below(A_244,B_245,C_246)
      | ( join(A_244,B_245,C_246) != C_246 )
      | ~ element(C_246,the_carrier(A_244))
      | ~ element(B_245,the_carrier(A_244))
      | ~ join_semilatt_str(A_244)
      | empty_carrier(A_244) ),
    inference(cnfTransformation,[status(thm)],[f_97]) ).

tff(c_628,plain,
    ! [B_245] :
      ( below('#skF_12',B_245,'#skF_13')
      | ( join('#skF_12',B_245,'#skF_13') != '#skF_13' )
      | ~ element(B_245,the_carrier('#skF_12'))
      | ~ join_semilatt_str('#skF_12')
      | empty_carrier('#skF_12') ),
    inference(resolution,[status(thm)],[c_122,c_609]) ).

tff(c_640,plain,
    ! [B_245] :
      ( below('#skF_12',B_245,'#skF_13')
      | ( join('#skF_12',B_245,'#skF_13') != '#skF_13' )
      | ~ element(B_245,the_carrier('#skF_12'))
      | empty_carrier('#skF_12') ),
    inference(demodulation,[status(thm),theory(equality)],[c_174,c_628]) ).

tff(c_641,plain,
    ! [B_245] :
      ( below('#skF_12',B_245,'#skF_13')
      | ( join('#skF_12',B_245,'#skF_13') != '#skF_13' )
      | ~ element(B_245,the_carrier('#skF_12')) ),
    inference(negUnitSimplification,[status(thm)],[c_130,c_640]) ).

tff(c_1625,plain,
    ( below('#skF_12',meet('#skF_12','#skF_14','#skF_13'),'#skF_13')
    | ( join('#skF_12',meet('#skF_12','#skF_14','#skF_13'),'#skF_13') != '#skF_13' ) ),
    inference(resolution,[status(thm)],[c_1603,c_641]) ).

tff(c_1648,plain,
    below('#skF_12',meet('#skF_12','#skF_14','#skF_13'),'#skF_13'),
    inference(demodulation,[status(thm),theory(equality)],[c_1259,c_1625]) ).

tff(c_2100,plain,
    below('#skF_12',meet('#skF_12','#skF_13','#skF_14'),'#skF_13'),
    inference(demodulation,[status(thm),theory(equality)],[c_2096,c_1648]) ).

tff(c_2105,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_1787,c_2100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU304+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % 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 : n002.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 12:07:46 EDT 2023
% 0.14/0.37  % CPUTime  : 
% 6.63/2.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.80/2.55  
% 6.80/2.55  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.80/2.61  
% 6.80/2.61  Inference rules
% 6.80/2.61  ----------------------
% 6.80/2.61  #Ref     : 0
% 6.80/2.61  #Sup     : 408
% 6.80/2.61  #Fact    : 0
% 6.80/2.61  #Define  : 0
% 6.80/2.61  #Split   : 9
% 6.80/2.61  #Chain   : 0
% 6.80/2.61  #Close   : 0
% 6.80/2.61  
% 6.80/2.61  Ordering : KBO
% 6.80/2.61  
% 6.80/2.61  Simplification rules
% 6.80/2.61  ----------------------
% 6.80/2.61  #Subsume      : 47
% 6.80/2.61  #Demod        : 167
% 6.80/2.61  #Tautology    : 79
% 6.80/2.61  #SimpNegUnit  : 97
% 6.80/2.61  #BackRed      : 14
% 6.80/2.61  
% 6.80/2.61  #Partial instantiations: 0
% 6.80/2.61  #Strategies tried      : 1
% 6.80/2.61  
% 6.80/2.61  Timing (in seconds)
% 6.80/2.61  ----------------------
% 6.80/2.62  Preprocessing        : 0.62
% 6.80/2.62  Parsing              : 0.32
% 6.80/2.62  CNF conversion       : 0.05
% 6.80/2.62  Main loop            : 0.87
% 6.80/2.62  Inferencing          : 0.31
% 6.80/2.62  Reduction            : 0.27
% 6.80/2.62  Demodulation         : 0.19
% 6.80/2.62  BG Simplification    : 0.05
% 6.80/2.62  Subsumption          : 0.18
% 6.80/2.62  Abstraction          : 0.04
% 6.80/2.62  MUC search           : 0.00
% 6.80/2.62  Cooper               : 0.00
% 6.80/2.62  Total                : 1.58
% 6.80/2.62  Index Insertion      : 0.00
% 6.80/2.62  Index Deletion       : 0.00
% 6.80/2.62  Index Matching       : 0.00
% 6.80/2.62  BG Taut test         : 0.00
%------------------------------------------------------------------------------