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Beagle---0.9.52.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Beagle---0.9.52
% Problem  : SEU212+2 : TPTP v9.0.0. 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 : n026.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 : Wed Apr  9 08:53:13 PM UTC 2025

% Result   : Theorem 56.10s 35.66s
% Output   : CNFRefutation 56.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   41 (  22 unt;   0 typ;   0 def)
%            Number of atoms       :   82 (  12 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   73 (  32   ~;  25   |;   5   &)
%                                         (   5 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :  128 ( 128 usr;  10 con; 0-5 aty)
%            Number of variables   :   30 (  30   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ subset > proper_subset > in > element > disjoint > are_equipotent > relation_empty_yielding > relation > 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 > cast_to_subset > empty_set > #skF_13 > #skF_47 > #skF_24 > #skF_62 > #skF_35 > #skF_38 > #skF_22 > #skF_21 > #skF_17 > #skF_57 > #skF_56 > #skF_44 > #skF_70 > #skF_91 > #skF_26 > #skF_93 > #skF_6 > #skF_86 > #skF_53 > #skF_18 > #skF_48 > #skF_63 > #skF_72 > #skF_32 > #skF_80 > #skF_64 > #skF_12 > #skF_79 > #skF_92 > #skF_31 > #skF_3 > #skF_90 > #skF_45 > #skF_39 > #skF_69 > #skF_34 > #skF_85 > #skF_20 > #skF_74 > #skF_78 > #skF_89 > #skF_88 > #skF_33 > #skF_5 > #skF_49 > #skF_19 > #skF_16 > #skF_65 > #skF_82 > #skF_66 > #skF_54 > #skF_67 > #skF_37 > #skF_11 > #skF_36 > #skF_43 > #skF_97 > #skF_7 > #skF_84 > #skF_60 > #skF_100 > #skF_9 > #skF_51 > #skF_28 > #skF_71 > #skF_15 > #skF_40 > #skF_23 > #skF_46 > #skF_14 > #skF_77 > #skF_58 > #skF_95 > #skF_52 > #skF_50 > #skF_55 > #skF_61 > #skF_94 > #skF_99 > #skF_25 > #skF_59 > #skF_2 > #skF_76 > #skF_98 > #skF_81 > #skF_68 > #skF_96 > #skF_8 > #skF_83 > #skF_75 > #skF_41 > #skF_87 > #skF_29 > #skF_27 > #skF_1 > #skF_30 > #skF_73 > #skF_4 > #skF_42 > #skF_10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_13',type,
    '#skF_13': ( $i * $i * $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_17',type,
    '#skF_17': ( $i * $i * $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_70',type,
    '#skF_70': ( $i * $i * $i * $i * $i ) > $i ).

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

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

tff('#skF_93',type,
    '#skF_93': ( $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_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_63',type,
    '#skF_63': ( $i * $i ) > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

tff('#skF_90',type,
    '#skF_90': ( $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_74',type,
    '#skF_74': ( $i * $i * $i ) > $i ).

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

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

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

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

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

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

tff('#skF_88',type,
    '#skF_88': ( $i * $i * $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_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(relation_image,type,
    relation_image: ( $i * $i ) > $i ).

tff(relation_composition,type,
    relation_composition: ( $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(relation_dom_restriction,type,
    relation_dom_restriction: ( $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_97',type,
    '#skF_97': $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_84',type,
    '#skF_84': $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_71',type,
    '#skF_71': ( $i * $i * $i ) > $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_77',type,
    '#skF_77': $i > $i ).

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

tff('#skF_95',type,
    '#skF_95': $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_94',type,
    '#skF_94': $i > $i ).

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

tff('#skF_25',type,
    '#skF_25': ( $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('#skF_98',type,
    '#skF_98': $i ).

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

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

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

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

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

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

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

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

tff('#skF_83',type,
    '#skF_83': $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_1',type,
    '#skF_1': ( $i * $i ) > $i ).

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

tff('#skF_73',type,
    '#skF_73': ( $i * $i * $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(f_1182,negated_conjecture,
    ~ ! [A,B,C] :
        ( ( relation(C)
          & function(C) )
       => ( in(ordered_pair(A,B),C)
        <=> ( in(A,relation_dom(C))
            & ( B = apply(C,A) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_funct_1) ).

tff(f_271,axiom,
    ! [A] :
      ( ( relation(A)
        & function(A) )
     => ! [B,C] :
          ( ( in(B,relation_dom(A))
           => ( ( C = apply(A,B) )
            <=> in(ordered_pair(B,C),A) ) )
          & ( ~ in(B,relation_dom(A))
           => ( ( C = apply(A,B) )
            <=> ( C = empty_set ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_funct_1) ).

tff(f_840,lemma,
    ! [A] :
      ( relation(A)
     => subset(A,cartesian_product2(relation_dom(A),relation_rng(A))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relat_1) ).

tff(f_244,axiom,
    ! [A,B] :
      ( subset(A,B)
    <=> ! [C] :
          ( in(C,A)
         => in(C,B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

tff(f_668,lemma,
    ! [A,B,C,D] :
      ( in(ordered_pair(A,B),cartesian_product2(C,D))
    <=> ( in(A,C)
        & in(B,D) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).

tff(c_874,plain,
    ( in(ordered_pair('#skF_96','#skF_97'),'#skF_98')
    | ( apply('#skF_98','#skF_96') = '#skF_97' ) ),
    inference(cnfTransformation,[status(thm)],[f_1182]) ).

tff(c_929,plain,
    apply('#skF_98','#skF_96') = '#skF_97',
    inference(splitLeft,[status(thm)],[c_874]) ).

tff(c_878,plain,
    ( in(ordered_pair('#skF_96','#skF_97'),'#skF_98')
    | in('#skF_96',relation_dom('#skF_98')) ),
    inference(cnfTransformation,[status(thm)],[f_1182]) ).

tff(c_925,plain,
    in('#skF_96',relation_dom('#skF_98')),
    inference(splitLeft,[status(thm)],[c_878]) ).

tff(c_868,plain,
    ( ( apply('#skF_98','#skF_96') != '#skF_97' )
    | ~ in('#skF_96',relation_dom('#skF_98'))
    | ~ in(ordered_pair('#skF_96','#skF_97'),'#skF_98') ),
    inference(cnfTransformation,[status(thm)],[f_1182]) ).

tff(c_956,plain,
    ~ in(ordered_pair('#skF_96','#skF_97'),'#skF_98'),
    inference(splitLeft,[status(thm)],[c_868]) ).

tff(c_866,plain,
    relation('#skF_98'),
    inference(cnfTransformation,[status(thm)],[f_1182]) ).

tff(c_864,plain,
    function('#skF_98'),
    inference(cnfTransformation,[status(thm)],[f_1182]) ).

tff(c_69470,plain,
    ! [B_276717,A_276718] :
      ( in(ordered_pair(B_276717,apply(A_276718,B_276717)),A_276718)
      | ~ in(B_276717,relation_dom(A_276718))
      | ~ function(A_276718)
      | ~ relation(A_276718) ),
    inference(cnfTransformation,[status(thm)],[f_271]) ).

tff(c_69680,plain,
    ( in(ordered_pair('#skF_96','#skF_97'),'#skF_98')
    | ~ in('#skF_96',relation_dom('#skF_98'))
    | ~ function('#skF_98')
    | ~ relation('#skF_98') ),
    inference(superposition,[status(thm),theory(equality)],[c_929,c_69470]) ).

tff(c_69748,plain,
    in(ordered_pair('#skF_96','#skF_97'),'#skF_98'),
    inference(demodulation,[status(thm),theory(equality)],[c_866,c_864,c_925,c_69680]) ).

tff(c_69750,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_956,c_69748]) ).

tff(c_69751,plain,
    ( ~ in('#skF_96',relation_dom('#skF_98'))
    | ( apply('#skF_98','#skF_96') != '#skF_97' ) ),
    inference(splitRight,[status(thm)],[c_868]) ).

tff(c_69904,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_929,c_925,c_69751]) ).

tff(c_69906,plain,
    apply('#skF_98','#skF_96') != '#skF_97',
    inference(splitRight,[status(thm)],[c_874]) ).

tff(c_69933,plain,
    ~ in(ordered_pair('#skF_96','#skF_97'),'#skF_98'),
    inference(splitLeft,[status(thm)],[c_868]) ).

tff(c_69905,plain,
    in(ordered_pair('#skF_96','#skF_97'),'#skF_98'),
    inference(splitRight,[status(thm)],[c_874]) ).

tff(c_70153,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_69933,c_69905]) ).

tff(c_70155,plain,
    in(ordered_pair('#skF_96','#skF_97'),'#skF_98'),
    inference(splitRight,[status(thm)],[c_868]) ).

tff(c_170634,plain,
    ! [A_638693,B_638694,C_638695] :
      ( ( apply(A_638693,B_638694) = C_638695 )
      | ~ in(ordered_pair(B_638694,C_638695),A_638693)
      | ~ in(B_638694,relation_dom(A_638693))
      | ~ function(A_638693)
      | ~ relation(A_638693) ),
    inference(cnfTransformation,[status(thm)],[f_271]) ).

tff(c_170801,plain,
    ( ( apply('#skF_98','#skF_96') = '#skF_97' )
    | ~ in('#skF_96',relation_dom('#skF_98'))
    | ~ function('#skF_98')
    | ~ relation('#skF_98') ),
    inference(resolution,[status(thm)],[c_70155,c_170634]) ).

tff(c_170860,plain,
    apply('#skF_98','#skF_96') = '#skF_97',
    inference(demodulation,[status(thm),theory(equality)],[c_866,c_864,c_925,c_170801]) ).

tff(c_170862,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_69906,c_170860]) ).

tff(c_170864,plain,
    ~ in('#skF_96',relation_dom('#skF_98')),
    inference(splitRight,[status(thm)],[c_878]) ).

tff(c_692,plain,
    ! [A_726] :
      ( subset(A_726,cartesian_product2(relation_dom(A_726),relation_rng(A_726)))
      | ~ relation(A_726) ),
    inference(cnfTransformation,[status(thm)],[f_840]) ).

tff(c_170863,plain,
    in(ordered_pair('#skF_96','#skF_97'),'#skF_98'),
    inference(splitRight,[status(thm)],[c_878]) ).

tff(c_170880,plain,
    ~ in(ordered_pair('#skF_96','#skF_97'),'#skF_98'),
    inference(splitLeft,[status(thm)],[c_868]) ).

tff(c_171056,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_170863,c_170880]) ).

tff(c_171058,plain,
    in(ordered_pair('#skF_96','#skF_97'),'#skF_98'),
    inference(splitRight,[status(thm)],[c_868]) ).

tff(c_182235,plain,
    ! [C_639531,B_639532,A_639533] :
      ( in(C_639531,B_639532)
      | ~ in(C_639531,A_639533)
      | ~ subset(A_639533,B_639532) ),
    inference(cnfTransformation,[status(thm)],[f_244]) ).

tff(c_182293,plain,
    ! [B_639532] :
      ( in(ordered_pair('#skF_96','#skF_97'),B_639532)
      | ~ subset('#skF_98',B_639532) ),
    inference(resolution,[status(thm)],[c_171058,c_182235]) ).

tff(c_190463,plain,
    ! [A_639769,C_639770,B_639771,D_639772] :
      ( in(A_639769,C_639770)
      | ~ in(ordered_pair(A_639769,B_639771),cartesian_product2(C_639770,D_639772)) ),
    inference(cnfTransformation,[status(thm)],[f_668]) ).

tff(c_190544,plain,
    ! [C_639776,D_639777] :
      ( in('#skF_96',C_639776)
      | ~ subset('#skF_98',cartesian_product2(C_639776,D_639777)) ),
    inference(resolution,[status(thm)],[c_182293,c_190463]) ).

tff(c_190551,plain,
    ( in('#skF_96',relation_dom('#skF_98'))
    | ~ relation('#skF_98') ),
    inference(resolution,[status(thm)],[c_692,c_190544]) ).

tff(c_190567,plain,
    in('#skF_96',relation_dom('#skF_98')),
    inference(demodulation,[status(thm),theory(equality)],[c_866,c_190551]) ).

tff(c_190569,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_170864,c_190567]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU212+2 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.13  % 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
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr  8 22:20:53 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 56.10/35.66  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 56.10/35.66  
% 56.10/35.66  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------