TSTP Solution File: SEU223+2 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SEU223+2 : 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 : n008.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 10:58:04 EDT 2023

% Result   : Theorem 76.76s 58.92s
% Output   : CNFRefutation 76.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  157
% Syntax   : Number of formulae    :  179 (  13 unt; 150 typ;   0 def)
%            Number of atoms       :   65 (  10 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   61 (  25   ~;  19   |;   6   &)
%                                         (   2 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  300 ( 138   >; 162   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-2 aty)
%            Number of functors    :  139 ( 139 usr;  12 con; 0-5 aty)
%            Number of variables   :   32 (;  32   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ subset > proper_subset > in > element > disjoint > are_equipotent > relation_empty_yielding > relation > one_to_one > function > empty > subset_difference > unordered_pair > union_of_subsets > subset_complement > set_union2 > set_intersection2 > set_difference > relation_rng_restriction > relation_inverse_image > relation_image > relation_dom_restriction > relation_composition > ordered_pair > meet_of_subsets > complements_of_subsets > cartesian_product2 > apply > #nlpp > union > singleton > set_meet > relation_rng > relation_inverse > relation_field > relation_dom > powerset > identity_relation > function_inverse > cast_to_subset > empty_set > #skF_13 > #skF_91 > #skF_47 > #skF_24 > #skF_62 > #skF_35 > #skF_38 > #skF_22 > #skF_21 > #skF_80 > #skF_17 > #skF_106 > #skF_109 > #skF_57 > #skF_56 > #skF_44 > #skF_97 > #skF_26 > #skF_6 > #skF_86 > #skF_93 > #skF_53 > #skF_18 > #skF_48 > #skF_79 > #skF_63 > #skF_103 > #skF_32 > #skF_64 > #skF_12 > #skF_31 > #skF_72 > #skF_78 > #skF_3 > #skF_45 > #skF_39 > #skF_69 > #skF_34 > #skF_85 > #skF_20 > #skF_77 > #skF_74 > #skF_81 > #skF_101 > #skF_71 > #skF_83 > #skF_33 > #skF_5 > #skF_49 > #skF_19 > #skF_16 > #skF_65 > #skF_82 > #skF_84 > #skF_66 > #skF_54 > #skF_67 > #skF_99 > #skF_110 > #skF_37 > #skF_89 > #skF_94 > #skF_11 > #skF_36 > #skF_43 > #skF_7 > #skF_60 > #skF_100 > #skF_9 > #skF_51 > #skF_28 > #skF_90 > #skF_15 > #skF_40 > #skF_23 > #skF_46 > #skF_14 > #skF_102 > #skF_108 > #skF_58 > #skF_95 > #skF_52 > #skF_50 > #skF_55 > #skF_61 > #skF_25 > #skF_92 > #skF_59 > #skF_2 > #skF_76 > #skF_105 > #skF_88 > #skF_68 > #skF_8 > #skF_75 > #skF_41 > #skF_87 > #skF_29 > #skF_27 > #skF_96 > #skF_1 > #skF_98 > #skF_30 > #skF_73 > #skF_70 > #skF_4 > #skF_42 > #skF_10 > #skF_107 > #skF_104

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_13',type,
    '#skF_13': ( $i * $i * $i ) > $i ).

tff('#skF_91',type,
    '#skF_91': $i > $i ).

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

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

tff('#skF_47',type,
    '#skF_47': ( $i * $i ) > $i ).

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

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

tff('#skF_62',type,
    '#skF_62': ( $i * $i ) > $i ).

tff('#skF_35',type,
    '#skF_35': ( $i * $i ) > $i ).

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

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

tff('#skF_38',type,
    '#skF_38': ( $i * $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_80',type,
    '#skF_80': ( $i * $i ) > $i ).

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

tff('#skF_106',type,
    '#skF_106': $i ).

tff('#skF_109',type,
    '#skF_109': $i > $i ).

tff('#skF_57',type,
    '#skF_57': ( $i * $i ) > $i ).

tff('#skF_56',type,
    '#skF_56': ( $i * $i ) > $i ).

tff('#skF_44',type,
    '#skF_44': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_97',type,
    '#skF_97': ( $i * $i ) > $i ).

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

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

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

tff('#skF_86',type,
    '#skF_86': $i ).

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

tff('#skF_93',type,
    '#skF_93': ( $i * $i * $i ) > $i ).

tff('#skF_53',type,
    '#skF_53': ( $i * $i ) > $i ).

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

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

tff('#skF_48',type,
    '#skF_48': ( $i * $i ) > $i ).

tff('#skF_79',type,
    '#skF_79': $i > $i ).

tff('#skF_63',type,
    '#skF_63': ( $i * $i ) > $i ).

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

tff('#skF_103',type,
    '#skF_103': $i > $i ).

tff('#skF_32',type,
    '#skF_32': ( $i * $i ) > $i ).

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

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

tff('#skF_64',type,
    '#skF_64': ( $i * $i ) > $i ).

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

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

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

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

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

tff('#skF_72',type,
    '#skF_72': ( $i * $i * $i * $i * $i ) > $i ).

tff('#skF_78',type,
    '#skF_78': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_45',type,
    '#skF_45': ( $i * $i * $i * $i ) > $i ).

tff('#skF_39',type,
    '#skF_39': ( $i * $i * $i ) > $i ).

tff('#skF_69',type,
    '#skF_69': ( $i * $i ) > $i ).

tff('#skF_34',type,
    '#skF_34': ( $i * $i ) > $i ).

tff('#skF_85',type,
    '#skF_85': $i ).

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

tff('#skF_77',type,
    '#skF_77': ( $i * $i * $i ) > $i ).

tff('#skF_74',type,
    '#skF_74': ( $i * $i * $i ) > $i ).

tff('#skF_81',type,
    '#skF_81': $i ).

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

tff('#skF_101',type,
    '#skF_101': ( $i * $i ) > $i ).

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

tff('#skF_71',type,
    '#skF_71': $i > $i ).

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

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

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

tff('#skF_83',type,
    '#skF_83': $i > $i ).

tff('#skF_33',type,
    '#skF_33': ( $i * $i ) > $i ).

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

tff('#skF_49',type,
    '#skF_49': ( $i * $i ) > $i ).

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

tff(set_intersection2,type,
    set_intersection2: ( $i * $i ) > $i ).

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

tff('#skF_65',type,
    '#skF_65': ( $i * $i * $i ) > $i ).

tff('#skF_82',type,
    '#skF_82': $i ).

tff('#skF_84',type,
    '#skF_84': $i ).

tff('#skF_66',type,
    '#skF_66': ( $i * $i ) > $i ).

tff('#skF_54',type,
    '#skF_54': ( $i * $i ) > $i ).

tff('#skF_67',type,
    '#skF_67': ( $i * $i ) > $i ).

tff('#skF_99',type,
    '#skF_99': ( $i * $i ) > $i ).

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

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

tff('#skF_110',type,
    '#skF_110': ( $i * $i ) > $i ).

tff('#skF_37',type,
    '#skF_37': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_89',type,
    '#skF_89': $i ).

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

tff('#skF_94',type,
    '#skF_94': ( $i * $i ) > $i ).

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

tff('#skF_36',type,
    '#skF_36': ( $i * $i ) > $i ).

tff('#skF_43',type,
    '#skF_43': ( $i * $i * $i ) > $i ).

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

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

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

tff('#skF_60',type,
    '#skF_60': ( $i * $i * $i ) > $i ).

tff('#skF_100',type,
    '#skF_100': ( $i * $i ) > $i ).

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

tff('#skF_51',type,
    '#skF_51': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_90',type,
    '#skF_90': $i ).

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

tff('#skF_40',type,
    '#skF_40': ( $i * $i * $i ) > $i ).

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

tff('#skF_46',type,
    '#skF_46': ( $i * $i * $i * $i ) > $i ).

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

tff('#skF_102',type,
    '#skF_102': ( $i * $i ) > $i ).

tff('#skF_108',type,
    '#skF_108': $i ).

tff('#skF_58',type,
    '#skF_58': ( $i * $i ) > $i ).

tff('#skF_95',type,
    '#skF_95': ( $i * $i ) > $i ).

tff('#skF_52',type,
    '#skF_52': ( $i * $i ) > $i ).

tff('#skF_50',type,
    '#skF_50': ( $i * $i * $i ) > $i ).

tff('#skF_55',type,
    '#skF_55': ( $i * $i * $i ) > $i ).

tff('#skF_61',type,
    '#skF_61': ( $i * $i * $i ) > $i ).

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

tff('#skF_92',type,
    '#skF_92': ( $i * $i * $i ) > $i ).

tff('#skF_59',type,
    '#skF_59': ( $i * $i * $i ) > $i ).

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

tff('#skF_76',type,
    '#skF_76': ( $i * $i * $i ) > $i ).

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

tff(set_union2,type,
    set_union2: ( $i * $i ) > $i ).

tff('#skF_105',type,
    '#skF_105': ( $i * $i * $i ) > $i ).

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

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

tff('#skF_88',type,
    '#skF_88': $i ).

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

tff('#skF_68',type,
    '#skF_68': ( $i * $i ) > $i ).

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

tff('#skF_75',type,
    '#skF_75': ( $i * $i * $i ) > $i ).

tff('#skF_41',type,
    '#skF_41': ( $i * $i * $i ) > $i ).

tff('#skF_87',type,
    '#skF_87': $i > $i ).

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

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

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

tff('#skF_96',type,
    '#skF_96': ( $i * $i ) > $i ).

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

tff('#skF_98',type,
    '#skF_98': ( $i * $i ) > $i ).

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

tff('#skF_73',type,
    '#skF_73': ( $i * $i * $i ) > $i ).

tff('#skF_70',type,
    '#skF_70': $i > $i ).

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

tff('#skF_42',type,
    '#skF_42': ( $i * $i * $i ) > $i ).

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

tff('#skF_107',type,
    '#skF_107': $i ).

tff('#skF_104',type,
    '#skF_104': $i > $i ).

tff(f_1378,negated_conjecture,
    ~ ! [A,B,C] :
        ( ( relation(C)
          & function(C) )
       => ( in(B,relation_dom(relation_dom_restriction(C,A)))
         => ( apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).

tff(f_569,axiom,
    ! [A,B] :
      ( ( relation(A)
        & function(A) )
     => ( relation(relation_dom_restriction(A,B))
        & function(relation_dom_restriction(A,B)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).

tff(f_460,axiom,
    ! [A,B] :
      ( relation(A)
     => relation(relation_dom_restriction(A,B)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).

tff(f_337,axiom,
    ! [A] :
      ( relation(A)
     => ( relation_field(A) = set_union2(relation_dom(A),relation_rng(A)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_1) ).

tff(f_1397,lemma,
    ! [A,B] : subset(A,set_union2(A,B)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).

tff(f_256,axiom,
    ! [A,B] :
      ( subset(A,B)
    <=> ! [C] :
          ( in(C,A)
         => in(C,B) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

tff(f_1359,lemma,
    ! [A,B] :
      ( ( relation(B)
        & function(B) )
     => ! [C] :
          ( ( relation(C)
            & function(C) )
         => ( ( B = relation_dom_restriction(C,A) )
          <=> ( ( relation_dom(B) = set_intersection2(relation_dom(C),A) )
              & ! [D] :
                  ( in(D,relation_dom(B))
                 => ( apply(B,D) = apply(C,D) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).

tff(c_966,plain,
    relation('#skF_108'),
    inference(cnfTransformation,[status(thm)],[f_1378]) ).

tff(c_964,plain,
    function('#skF_108'),
    inference(cnfTransformation,[status(thm)],[f_1378]) ).

tff(c_538,plain,
    ! [A_590,B_591] :
      ( function(relation_dom_restriction(A_590,B_591))
      | ~ function(A_590)
      | ~ relation(A_590) ),
    inference(cnfTransformation,[status(thm)],[f_569]) ).

tff(c_960,plain,
    apply(relation_dom_restriction('#skF_108','#skF_106'),'#skF_107') != apply('#skF_108','#skF_107'),
    inference(cnfTransformation,[status(thm)],[f_1378]) ).

tff(c_478,plain,
    ! [A_559,B_560] :
      ( relation(relation_dom_restriction(A_559,B_560))
      | ~ relation(A_559) ),
    inference(cnfTransformation,[status(thm)],[f_460]) ).

tff(c_17749,plain,
    ! [A_1659] :
      ( ( set_union2(relation_dom(A_1659),relation_rng(A_1659)) = relation_field(A_1659) )
      | ~ relation(A_1659) ),
    inference(cnfTransformation,[status(thm)],[f_337]) ).

tff(c_980,plain,
    ! [A_920,B_921] : subset(A_920,set_union2(A_920,B_921)),
    inference(cnfTransformation,[status(thm)],[f_1397]) ).

tff(c_962,plain,
    in('#skF_107',relation_dom(relation_dom_restriction('#skF_108','#skF_106'))),
    inference(cnfTransformation,[status(thm)],[f_1378]) ).

tff(c_14735,plain,
    ! [C_1594,B_1595,A_1596] :
      ( in(C_1594,B_1595)
      | ~ in(C_1594,A_1596)
      | ~ subset(A_1596,B_1595) ),
    inference(cnfTransformation,[status(thm)],[f_256]) ).

tff(c_15084,plain,
    ! [B_1606] :
      ( in('#skF_107',B_1606)
      | ~ subset(relation_dom(relation_dom_restriction('#skF_108','#skF_106')),B_1606) ),
    inference(resolution,[status(thm)],[c_962,c_14735]) ).

tff(c_15133,plain,
    ! [B_921] : in('#skF_107',set_union2(relation_dom(relation_dom_restriction('#skF_108','#skF_106')),B_921)),
    inference(resolution,[status(thm)],[c_980,c_15084]) ).

tff(c_17756,plain,
    ( in('#skF_107',relation_field(relation_dom_restriction('#skF_108','#skF_106')))
    | ~ relation(relation_dom_restriction('#skF_108','#skF_106')) ),
    inference(superposition,[status(thm),theory(equality)],[c_17749,c_15133]) ).

tff(c_23553,plain,
    ~ relation(relation_dom_restriction('#skF_108','#skF_106')),
    inference(splitLeft,[status(thm)],[c_17756]) ).

tff(c_23565,plain,
    ~ relation('#skF_108'),
    inference(resolution,[status(thm)],[c_478,c_23553]) ).

tff(c_23575,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_966,c_23565]) ).

tff(c_23577,plain,
    relation(relation_dom_restriction('#skF_108','#skF_106')),
    inference(splitRight,[status(thm)],[c_17756]) ).

tff(c_216269,plain,
    ! [C_567284,A_567285,D_567286] :
      ( ( apply(relation_dom_restriction(C_567284,A_567285),D_567286) = apply(C_567284,D_567286) )
      | ~ in(D_567286,relation_dom(relation_dom_restriction(C_567284,A_567285)))
      | ~ function(C_567284)
      | ~ relation(C_567284)
      | ~ function(relation_dom_restriction(C_567284,A_567285))
      | ~ relation(relation_dom_restriction(C_567284,A_567285)) ),
    inference(cnfTransformation,[status(thm)],[f_1359]) ).

tff(c_216657,plain,
    ( ( apply(relation_dom_restriction('#skF_108','#skF_106'),'#skF_107') = apply('#skF_108','#skF_107') )
    | ~ function('#skF_108')
    | ~ relation('#skF_108')
    | ~ function(relation_dom_restriction('#skF_108','#skF_106'))
    | ~ relation(relation_dom_restriction('#skF_108','#skF_106')) ),
    inference(resolution,[status(thm)],[c_962,c_216269]) ).

tff(c_216755,plain,
    ( ( apply(relation_dom_restriction('#skF_108','#skF_106'),'#skF_107') = apply('#skF_108','#skF_107') )
    | ~ function(relation_dom_restriction('#skF_108','#skF_106')) ),
    inference(demodulation,[status(thm),theory(equality)],[c_23577,c_966,c_964,c_216657]) ).

tff(c_216756,plain,
    ~ function(relation_dom_restriction('#skF_108','#skF_106')),
    inference(negUnitSimplification,[status(thm)],[c_960,c_216755]) ).

tff(c_216760,plain,
    ( ~ function('#skF_108')
    | ~ relation('#skF_108') ),
    inference(resolution,[status(thm)],[c_538,c_216756]) ).

tff(c_216767,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_966,c_964,c_216760]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU223+2 : TPTP v8.1.2. Released v3.3.0.
% 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
% 0.18/0.36  % Computer : n008.cluster.edu
% 0.18/0.36  % Model    : x86_64 x86_64
% 0.18/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36  % Memory   : 8042.1875MB
% 0.18/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36  % CPULimit : 300
% 0.18/0.36  % WCLimit  : 300
% 0.18/0.36  % DateTime : Thu Aug  3 11:42:49 EDT 2023
% 0.18/0.36  % CPUTime  : 
% 76.76/58.92  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.85/58.93  
% 76.85/58.93  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 76.85/58.96  
% 76.85/58.96  Inference rules
% 76.85/58.96  ----------------------
% 76.85/58.96  #Ref     : 11
% 76.85/58.96  #Sup     : 49542
% 76.85/58.96  #Fact    : 6
% 76.85/58.96  #Define  : 0
% 76.85/58.96  #Split   : 34
% 76.85/58.96  #Chain   : 0
% 76.85/58.96  #Close   : 0
% 76.85/58.96  
% 76.85/58.96  Ordering : KBO
% 76.85/58.96  
% 76.85/58.96  Simplification rules
% 76.85/58.96  ----------------------
% 76.85/58.96  #Subsume      : 21397
% 76.85/58.96  #Demod        : 13166
% 76.85/58.96  #Tautology    : 10441
% 76.85/58.96  #SimpNegUnit  : 1520
% 76.85/58.96  #BackRed      : 281
% 76.85/58.96  
% 76.85/58.96  #Partial instantiations: 276749
% 76.85/58.96  #Strategies tried      : 1
% 76.85/58.96  
% 76.85/58.96  Timing (in seconds)
% 76.85/58.96  ----------------------
% 76.85/58.96  Preprocessing        : 1.15
% 76.85/58.96  Parsing              : 0.54
% 76.85/58.96  CNF conversion       : 0.13
% 76.85/58.96  Main loop            : 56.73
% 76.85/58.96  Inferencing          : 7.65
% 76.85/58.96  Reduction            : 26.49
% 76.85/58.96  Demodulation         : 18.45
% 76.85/58.96  BG Simplification    : 0.30
% 76.85/58.96  Subsumption          : 19.46
% 76.85/58.96  Abstraction          : 0.37
% 76.85/58.96  MUC search           : 0.00
% 76.85/58.96  Cooper               : 0.00
% 76.85/58.96  Total                : 57.93
% 76.85/58.96  Index Insertion      : 0.00
% 76.85/58.96  Index Deletion       : 0.00
% 76.85/58.96  Index Matching       : 0.00
% 76.85/58.96  BG Taut test         : 0.00
%------------------------------------------------------------------------------