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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : CSR143^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% 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 : Wed Feb 25 08:43:09 AM UTC 2026

% Result   : Theorem 1.73s 1.45s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   45 (  15 unt;   0 typ;   2 def)
%            Number of atoms       :  207 (  43 equ;   0 cnn)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives :  206 (  31   ~;  22   |;   0   &; 146   @)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   28 (  28   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   53 (   0   ^;  49   !;   4   ?;  53   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    num: $tType ).

thf(func_def_1,type,
    holdsDuring_THFTYPE_IiooI: $i > $o > $o ).

thf(func_def_2,type,
    husband_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_5,type,
    lYearFn_THFTYPE_IiiI: $i > $i ).

thf(func_def_7,type,
    wife_THFTYPE_IiioI: $i > $i > $o ).

thf(func_def_8,type,
    inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).

thf(func_def_14,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f85,plain,
    $false,
    inference(avatar_sat_refutation,[status(thm)],[f36,f38,f81]) ).

thf(f81,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[status(thm)],[f80]) ).

thf(f80,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[status(thm)],[f73,f32]) ).

thf(f32,plain,
    ( ! [X1: $i] :
        ( ( husband_THFTYPE_IiioI @ X1 @ lCorina_THFTYPE_i )
       != $true )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[status(thm)],[f31]) ).

thf(f31,definition,
    ( spl0_1
  <=> ! [X1: $i] :
        ( ( husband_THFTYPE_IiioI @ X1 @ lCorina_THFTYPE_i )
       != $true ) ),
    introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).

thf(f73,plain,
    ( ( $true
      = ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[status(thm)],[f69]) ).

thf(f69,plain,
    ( ( $true
      = ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
    | ( $true = $false )
    | ~ spl0_1 ),
    inference(superposition,[status(thm)],[f63,f43]) ).

thf(f43,plain,
    ( ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
      = $true )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[status(thm)],[f41,f32]) ).

thf(f41,plain,
    ! [X0: $i] :
      ( ( ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i )
        = $true )
      | ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
        = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f40]) ).

thf(f40,plain,
    ! [X0: $i] :
      ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
     != ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) ),
    inference(trivial_inequality_removal,[status(thm)],[f39]) ).

thf(f39,plain,
    ! [X0: $i] :
      ( ( $true != $true )
      | ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
       != ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) ) ),
    inference(constrained_superposition,[status(thm)],[f22,f25]) ).

thf(f25,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

thf(f11,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) )
    = $true ),
    inference(fool_elimination,[status(thm)],[f10]) ).

thf(f10,plain,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    inference(rectify,[status(thm)],[f4]) ).

thf(f4,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
    file('/export/starexec/sandbox/tmp/tmp.ue1qnEpovg/DTF2THF_30285.p',ax_003) ).

thf(f22,plain,
    ! [X0: $i] :
      ( $true
     != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) ) ),
    inference(cnf_transformation,[status(thm)],[f18]) ).

thf(f18,plain,
    ! [X0: $i] :
      ( $true
     != ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) ) ),
    inference(ennf_transformation,[status(thm)],[f17]) ).

thf(f17,plain,
    ~ ? [X0: $i] :
        ( $true
        = ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) ) ),
    inference(fool_elimination,[status(thm)],[f16]) ).

thf(f16,plain,
    ~ ? [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i ) ),
    inference(rectify,[status(thm)],[f6]) ).

thf(f6,negated_conjecture,
    ~ ? [X5: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X5 @ lCorina_THFTYPE_i ) ),
    inference(negated_conjecture,[status(cth)],[f5]) ).

thf(f5,conjecture,
    ? [X5: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X5 @ lCorina_THFTYPE_i ) ),
    file('/export/starexec/sandbox/tmp/tmp.ue1qnEpovg/DTF2THF_30285.p',con) ).

thf(f63,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( wife_THFTYPE_IiioI @ X1 @ X0 )
        = $false )
      | ( ( husband_THFTYPE_IiioI @ X0 @ X1 )
        = $true ) ),
    inference(trivial_inequality_removal,[status(thm)],[f62]) ).

thf(f62,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( husband_THFTYPE_IiioI @ X0 @ X1 )
        = $true )
      | ( ( wife_THFTYPE_IiioI @ X1 @ X0 )
        = $false ) ),
    inference(superposition,[status(thm)],[f26,f21]) ).

thf(f21,plain,
    ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

thf(f15,plain,
    ( ( inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI )
    = $true ),
    inference(fool_elimination,[status(thm)],[f14]) ).

thf(f14,plain,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    inference(rectify,[status(thm)],[f1]) ).

thf(f1,axiom,
    inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
    file('/export/starexec/sandbox/tmp/tmp.ue1qnEpovg/DTF2THF_30285.p',ax) ).

thf(f26,plain,
    ! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
      ( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
       != $true )
      | ( ( X1 @ X2 @ X3 )
        = $true )
      | ( ( X0 @ X3 @ X2 )
        = $false ) ),
    inference(binary_proxy_clausification,[status(thm)],[f24]) ).

thf(f24,plain,
    ! [X2: $i,X3: $i,X0: $i > $i > $o,X1: $i > $i > $o] :
      ( ( ( X1 @ X2 @ X3 )
        = ( X0 @ X3 @ X2 ) )
      | ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
       != $true ) ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

thf(f20,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o] :
      ( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
       != $true )
      | ! [X2: $i,X3: $i] :
          ( ( X1 @ X2 @ X3 )
          = ( X0 @ X3 @ X2 ) ) ),
    inference(rectify,[status(thm)],[f19]) ).

thf(f19,plain,
    ! [X1: $i > $i > $o,X0: $i > $i > $o] :
      ( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
       != $true )
      | ! [X2: $i,X3: $i] :
          ( ( X1 @ X3 @ X2 )
          = ( X0 @ X2 @ X3 ) ) ),
    inference(ennf_transformation,[status(thm)],[f13]) ).

thf(f13,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o] :
      ( ( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
        = $true )
     => ! [X2: $i,X3: $i] :
          ( ( X1 @ X3 @ X2 )
          = ( X0 @ X2 @ X3 ) ) ),
    inference(fool_elimination,[status(thm)],[f12]) ).

thf(f12,plain,
    ! [X0: $i > $i > $o,X1: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1 )
     => ! [X2: $i,X3: $i] :
          ( ( X1 @ X3 @ X2 )
        <=> ( X0 @ X2 @ X3 ) ) ),
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,axiom,
    ! [X1: $i > $i > $o,X0: $i > $i > $o] :
      ( ( inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0 )
     => ! [X2: $i,X3: $i] :
          ( ( X0 @ X3 @ X2 )
        <=> ( X1 @ X2 @ X3 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ue1qnEpovg/DTF2THF_30285.p',ax_001) ).

thf(f38,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[status(thm)],[f37]) ).

thf(f37,plain,
    ( $false
    | ~ spl0_2 ),
    inference(equality_resolution,[status(thm)],[f35]) ).

thf(f35,plain,
    ( ! [X0: $i] :
        ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
       != X0 )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[status(thm)],[f34]) ).

thf(f34,definition,
    ( spl0_2
  <=> ! [X0: $i] :
        ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
       != X0 ) ),
    introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).

thf(f36,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[status(thm)],[f29,f34,f31]) ).

thf(f29,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( husband_THFTYPE_IiioI @ X1 @ lCorina_THFTYPE_i )
       != $true )
      | ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
       != X0 ) ),
    inference(trivial_inequality_removal,[status(thm)],[f28]) ).

thf(f28,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
       != X0 )
      | ( ( husband_THFTYPE_IiioI @ X1 @ lCorina_THFTYPE_i )
       != $true ) ),
    inference(constrained_superposition,[status(thm)],[f22,f23]) ).

thf(f23,plain,
    ! [X0: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ X0 @ $true )
      = $true ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

thf(f9,plain,
    ! [X0: $i] :
      ( ( holdsDuring_THFTYPE_IiooI @ X0 @ $true )
      = $true ),
    inference(fool_elimination,[status(thm)],[f8]) ).

thf(f8,plain,
    ! [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ X0 @ $true ),
    inference(rectify,[status(thm)],[f3]) ).

thf(f3,axiom,
    ! [X4: $i] : ( holdsDuring_THFTYPE_IiooI @ X4 @ $true ),
    file('/export/starexec/sandbox/tmp/tmp.ue1qnEpovg/DTF2THF_30285.p',ax_002) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR143^1 : TPTP v9.2.1. Released v4.1.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.32  % Computer : n002.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Tue Feb 24 05:52:03 EST 2026
% 0.15/0.33  % CPUTime  : 
% 0.15/0.33  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.47  ---- Original DTF file ---
% 0.19/0.47  thf(spec,logic,$$dhol).
% 0.19/0.47  %------------------------------------------------------------------------------
% 0.19/0.47  % File     : CSR143^1 : TPTP v9.2.1. Released v4.1.0.
% 0.19/0.47  % Domain   : Commonsense Reasoning
% 0.19/0.47  % Problem  : Who is the husband of Corina during 2009?
% 0.19/0.47  % Version  : Especial.
% 0.19/0.47  % English  : During 2009 Corina is the wife of Chris. True holds at any time. 
% 0.19/0.47  %            Who is the husband of Corina during 2009?
% 0.19/0.47  
% 0.19/0.47  % Refs     : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.19/0.47  % Source   : [Ben10]
% 0.19/0.47  % Names    : ex_2.tq_SUMO_handselected [Ben10]
% 0.19/0.47  
% 0.19/0.47  % Status   : Theorem
% 0.19/0.47  % Rating   : 0.08 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.17 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.1.0, 0.50 v6.0.0, 0.17 v5.5.0, 0.20 v5.4.0, 0.50 v5.0.0, 0.25 v4.1.0
% 0.19/0.47  % Syntax   : Number of formulae    :   14 (   1 unt;   9 typ;   0 def)
% 0.19/0.47  %            Number of atoms       :   10 (   0 equ;   0 cnn)
% 0.19/0.47  %            Maximal formula atoms :    3 (   2 avg)
% 0.19/0.47  %            Number of connectives :   22 (   0   ~;   0   |;   0   &;  20   @)
% 0.19/0.47  %                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
% 0.19/0.47  %            Maximal formula depth :    9 (   5 avg)
% 0.19/0.47  %            Number of types       :    3 (   1 usr)
% 0.19/0.47  %            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
% 0.19/0.47  %            Number of symbols     :    9 (   8 usr;   4 con; 0-2 aty)
% 0.19/0.47  %            Number of variables   :    6 (   0   ^;   5   !;   1   ?;   6   :)
% 0.19/0.47  % SPC      : TH0_THM_NEQ_NAR
% 0.19/0.47  
% 0.19/0.47  % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.19/0.47  %            Initally the problem has been hand generated in KIF syntax in
% 0.19/0.47  %            SigmaKEE and then automatically translated by Benzmueller's
% 0.19/0.47  %            KIF2TH0 translator into THF syntax.
% 0.19/0.47  %          : The translation has been applied in three modes: handselected,
% 0.19/0.47  %            SInE, and local. The local mode only translates the local
% 0.19/0.47  %            assumptions and the query. The SInE mode additionally translates
% 0.19/0.47  %            the SInE extract of the loaded knowledge base (usually SUMO). The
% 0.19/0.47  %            handselected mode contains a hand-selected relevant axioms.
% 0.19/0.47  %          : The examples are selected to illustrate the benefits of
% 0.19/0.47  %            higher-order reasoning in ontology reasoning.
% 0.19/0.47  %------------------------------------------------------------------------------
% 0.19/0.47  %----The extracted signature
% 0.19/0.47  thf(numbers,type,
% 0.19/0.47      num: $tType ).
% 0.19/0.47  
% 0.19/0.47  thf(holdsDuring_THFTYPE_IiooI,type,
% 0.19/0.47      holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.19/0.47  
% 0.19/0.47  thf(husband_THFTYPE_IiioI,type,
% 0.19/0.47      husband_THFTYPE_IiioI: $i > $i > $o ).
% 0.19/0.47  
% 0.19/0.47  thf(lChris_THFTYPE_i,type,
% 0.19/0.47      lChris_THFTYPE_i: $i ).
% 0.19/0.47  
% 0.19/0.47  thf(lCorina_THFTYPE_i,type,
% 0.19/0.47      lCorina_THFTYPE_i: $i ).
% 0.19/0.47  
% 0.19/0.47  thf(lYearFn_THFTYPE_IiiI,type,
% 0.19/0.47      lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.19/0.47  
% 0.19/0.47  thf(n2009_THFTYPE_i,type,
% 0.19/0.47      n2009_THFTYPE_i: $i ).
% 0.19/0.47  
% 0.19/0.47  thf(wife_THFTYPE_IiioI,type,
% 0.19/0.47      wife_THFTYPE_IiioI: $i > $i > $o ).
% 0.19/0.47  
% 0.19/0.47  %----The handselected axioms from the knowledge base
% 0.19/0.47  thf(inverse_THFTYPE_IIiioIIiioIoI,type,
% 0.19/0.47      inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 0.19/0.47  
% 0.19/0.47  thf(ax,axiom,
% 0.19/0.47      inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).
% 0.19/0.47  
% 0.19/0.47  thf(ax_001,axiom,
% 0.19/0.47      ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
% 0.19/0.47        ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
% 0.19/0.47       => ! [INST1: $i,INST2: $i] :
% 0.19/0.47            ( ( REL1 @ INST1 @ INST2 )
% 0.19/0.47          <=> ( REL2 @ INST2 @ INST1 ) ) ) ).
% 0.19/0.47  
% 0.19/0.47  %----The translated axioms
% 0.19/0.47  thf(ax_002,axiom,
% 0.19/0.47      ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) ).
% 0.19/0.47  
% 0.19/0.47  thf(ax_003,axiom,
% 0.19/0.47      holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ).
% 0.19/0.47  
% 0.19/0.47  %----The translated conjectures
% 0.19/0.47  thf(con,conjecture,
% 0.19/0.47      ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) ).
% 0.19/0.47  
% 0.19/0.47  %------------------------------------------------------------------------------
% 0.19/0.47  ------------------------
% 1.73/1.42  ---- Embedded in THF ---
% 1.73/1.42  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.73/1.42  %%% Generated on Tue Feb 24 05:52:04 EST 2026
% 1.73/1.42  %%% using '$$dhol' embedding, version 1.3.0.
% 1.73/1.42  %%% Logic specification used:
% 1.73/1.42  %%% thf(spec, logic, $$dhol).
% 1.73/1.42  
% 1.73/1.42  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.ue1qnEpovg/DTF2DTF30285.p
% See solution above
% 1.73/1.42  ------------------------
% 1.73/1.43  ---- Cleaned THF ---
% 1.73/1.43  thf(numbers,type,
% 1.73/1.43      num: $tType ).
% 1.73/1.43  
% 1.73/1.43  thf(holdsDuring_THFTYPE_IiooI,type,
% 1.73/1.43      holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 1.73/1.43  
% 1.73/1.43  thf(husband_THFTYPE_IiioI,type,
% 1.73/1.43      husband_THFTYPE_IiioI: $i > $i > $o ).
% 1.73/1.43  
% 1.73/1.43  thf(lChris_THFTYPE_i,type,
% 1.73/1.43      lChris_THFTYPE_i: $i ).
% 1.73/1.43  
% 1.73/1.43  thf(lCorina_THFTYPE_i,type,
% 1.73/1.43      lCorina_THFTYPE_i: $i ).
% 1.73/1.43  
% 1.73/1.43  thf(lYearFn_THFTYPE_IiiI,type,
% 1.73/1.43      lYearFn_THFTYPE_IiiI: $i > $i ).
% 1.73/1.43  
% 1.73/1.43  thf(n2009_THFTYPE_i,type,
% 1.73/1.43      n2009_THFTYPE_i: $i ).
% 1.73/1.43  
% 1.73/1.43  thf(wife_THFTYPE_IiioI,type,
% 1.73/1.43      wife_THFTYPE_IiioI: $i > $i > $o ).
% 1.73/1.43  
% 1.73/1.43  thf(inverse_THFTYPE_IIiioIIiioIoI,type,
% 1.73/1.43      inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 1.73/1.43  
% 1.73/1.43  thf(ax,axiom,
% 1.73/1.43      inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI ).
% 1.73/1.43  
% 1.73/1.43  thf(ax_001,axiom,
% 1.73/1.43      ! [REL2: $i > $i > $o,REL1: $i > $i > $o] :
% 1.73/1.43        ( ( inverse_THFTYPE_IIiioIIiioIoI @ REL1 @ REL2 )
% 1.73/1.43       => ! [INST1: $i,INST2: $i] :
% 1.73/1.43            ( ( REL1 @ INST1 @ INST2 )
% 1.73/1.43          <=> ( REL2 @ INST2 @ INST1 ) ) ) ).
% 1.73/1.43  
% 1.73/1.43  thf(ax_002,axiom,
% 1.73/1.43      ! [Z: $i] : ( holdsDuring_THFTYPE_IiooI @ Z @ $true ) ).
% 1.73/1.43  
% 1.73/1.43  thf(ax_003,axiom,
% 1.73/1.43      holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ) ).
% 1.73/1.43  
% 1.73/1.43  thf(con,conjecture,
% 1.73/1.43      ? [X: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X @ lCorina_THFTYPE_i ) ) ).
% 1.73/1.43  ------------------------
% 1.73/1.45  % (30383)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_30285 for (2999ds/4Mi)
% 1.73/1.45  % (30382)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_30285 for (2999ds/183Mi)
% 1.73/1.45  % (30385)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_30285 for (2999ds/2Mi)
% 1.73/1.45  % (30386)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_30285 for (2999ds/2Mi)
% 1.73/1.45  % (30384)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_30285 for (2999ds/27Mi)
% 1.73/1.45  % (30387)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_30285 for (2999ds/275Mi)
% 1.73/1.45  % (30388)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_30285 for (2999ds/18Mi)
% 1.73/1.45  % (30385)Instruction limit reached!
% 1.73/1.45  % (30385)------------------------------
% 1.73/1.45  % (30385)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.45  % (30387)Refutation not found, incomplete strategy
% 1.73/1.45  % (30387)------------------------------
% 1.73/1.45  % (30387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.45  % (30387)Termination reason: Refutation not found, incomplete strategy
% 1.73/1.45  
% 1.73/1.45  
% 1.73/1.45  % (30387)Memory used [KB]: 5500
% 1.73/1.45  % (30387)Time elapsed: 0.002 s
% 1.73/1.45  % (30387)Instructions burned: 1 (million)
% 1.73/1.45  % (30387)------------------------------
% 1.73/1.45  % (30387)------------------------------
% 1.73/1.45  % (30386)Instruction limit reached!
% 1.73/1.45  % (30386)------------------------------
% 1.73/1.45  % (30386)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.45  % (30386)Termination reason: Unknown
% 1.73/1.45  % (30386)Termination phase: Saturation
% 1.73/1.45  
% 1.73/1.45  % (30386)Memory used [KB]: 5500
% 1.73/1.45  % (30386)Time elapsed: 0.003 s
% 1.73/1.45  % (30386)Instructions burned: 2 (million)
% 1.73/1.45  % (30386)------------------------------
% 1.73/1.45  % (30386)------------------------------
% 1.73/1.45  % (30385)Termination reason: Unknown
% 1.73/1.45  % (30385)Termination phase: Saturation
% 1.73/1.45  
% 1.73/1.45  % (30385)Memory used [KB]: 5500
% 1.73/1.45  % (30385)Time elapsed: 0.003 s
% 1.73/1.45  % (30385)Instructions burned: 2 (million)
% 1.73/1.45  % (30385)------------------------------
% 1.73/1.45  % (30385)------------------------------
% 1.73/1.45  % (30383)Instruction limit reached!
% 1.73/1.45  % (30383)------------------------------
% 1.73/1.45  % (30383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.45  % (30383)Termination reason: Unknown
% 1.73/1.45  % (30383)Termination phase: Saturation
% 1.73/1.45  
% 1.73/1.45  % (30383)Memory used [KB]: 5500
% 1.73/1.45  % (30383)Time elapsed: 0.004 s
% 1.73/1.45  % (30383)Instructions burned: 4 (million)
% 1.73/1.45  % (30383)------------------------------
% 1.73/1.45  % (30383)------------------------------
% 1.73/1.45  % (30382)First to succeed.
% 1.73/1.45  % (30384)Also succeeded, but the first one will report.
% 1.73/1.45  % (30382)Refutation found. Thanks to Tanya!
% 1.73/1.45  % SZS status Theorem for DTF2THF_30285
% 1.73/1.45  % SZS output start Proof for DTF2THF_30285
% 1.73/1.45  thf(func_def_0, type, num: $tType).
% 1.73/1.45  thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 1.73/1.45  thf(func_def_2, type, husband_THFTYPE_IiioI: $i > $i > $o).
% 1.73/1.45  thf(func_def_5, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 1.73/1.45  thf(func_def_7, type, wife_THFTYPE_IiioI: $i > $i > $o).
% 1.73/1.45  thf(func_def_8, type, inverse_THFTYPE_IIiioIIiioIoI: ($i > $i > $o) > ($i > $i > $o) > $o).
% 1.73/1.45  thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 1.73/1.45  thf(f85,plain,(
% 1.73/1.45    $false),
% 1.73/1.45    inference(avatar_sat_refutation,[status(thm)],[f36,f38,f81])).
% 1.73/1.45  thf(f81,plain,(
% 1.73/1.45    ~spl0_1),
% 1.73/1.45    inference(avatar_contradiction_clause,[status(thm)],[f80])).
% 1.73/1.45  thf(f80,plain,(
% 1.73/1.45    $false | ~spl0_1),
% 1.73/1.45    inference(subsumption_resolution,[status(thm)],[f73,f32])).
% 1.73/1.45  thf(f32,plain,(
% 1.73/1.45    ( ! [X1 : $i] : (((husband_THFTYPE_IiioI @ X1 @ lCorina_THFTYPE_i) != $true)) ) | ~spl0_1),
% 1.73/1.45    inference(avatar_component_clause,[status(thm)],[f31])).
% 1.73/1.45  thf(f31,definition,(
% 1.73/1.45    spl0_1 <=> ! [X1 : $i] : ((husband_THFTYPE_IiioI @ X1 @ lCorina_THFTYPE_i) != $true)),
% 1.73/1.45    introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.73/1.45  thf(f73,plain,(
% 1.73/1.45    ($true = (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) | ~spl0_1),
% 1.73/1.45    inference(trivial_inequality_removal,[status(thm)],[f69])).
% 1.73/1.45  thf(f69,plain,(
% 1.73/1.45    ($true = (husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i)) | ($true = $false) | ~spl0_1),
% 1.73/1.45    inference(superposition,[status(thm)],[f63,f43])).
% 1.73/1.45  thf(f43,plain,(
% 1.73/1.45    ((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i) = $true) | ~spl0_1),
% 1.73/1.45    inference(subsumption_resolution,[status(thm)],[f41,f32])).
% 1.73/1.45  thf(f41,plain,(
% 1.73/1.45    ( ! [X0 : $i] : (((husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i) = $true) | ((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i) = $true)) )),
% 1.73/1.45    inference(binary_proxy_clausification,[status(thm)],[f40])).
% 1.73/1.45  thf(f40,plain,(
% 1.73/1.45    ( ! [X0 : $i] : (((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i) != (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i))) )),
% 1.73/1.45    inference(trivial_inequality_removal,[status(thm)],[f39])).
% 1.73/1.45  thf(f39,plain,(
% 1.73/1.45    ( ! [X0 : $i] : (($true != $true) | ((wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i) != (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i))) )),
% 1.73/1.45    inference(constrained_superposition,[status(thm)],[f22,f25])).
% 1.73/1.45  thf(f25,plain,(
% 1.73/1.45    ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)) = $true)),
% 1.73/1.45    inference(cnf_transformation,[status(thm)],[f11])).
% 1.73/1.45  thf(f11,plain,(
% 1.73/1.45    ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i)) = $true)),
% 1.73/1.45    inference(fool_elimination,[status(thm)],[f10])).
% 1.73/1.45  thf(f10,plain,(
% 1.73/1.45    (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))),
% 1.73/1.45    inference(rectify,[status(thm)],[f4])).
% 1.73/1.45  thf(f4,axiom,(
% 1.73/1.45    (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i))),
% 1.73/1.45    file('/export/starexec/sandbox/tmp/tmp.ue1qnEpovg/DTF2THF_30285.p',ax_003)).
% 1.73/1.45  thf(f22,plain,(
% 1.73/1.45    ( ! [X0 : $i] : (($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i)))) )),
% 1.73/1.45    inference(cnf_transformation,[status(thm)],[f18])).
% 1.73/1.45  thf(f18,plain,(
% 1.73/1.45    ! [X0 : $i] : ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i)))),
% 1.73/1.45    inference(ennf_transformation,[status(thm)],[f17])).
% 1.73/1.45  thf(f17,plain,(
% 1.73/1.45    ~? [X0 : $i] : ($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i)))),
% 1.73/1.45    inference(fool_elimination,[status(thm)],[f16])).
% 1.73/1.45  thf(f16,plain,(
% 1.73/1.45    ~? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X0 @ lCorina_THFTYPE_i))),
% 1.73/1.45    inference(rectify,[status(thm)],[f6])).
% 1.73/1.45  thf(f6,negated_conjecture,(
% 1.73/1.45    ~? [X5 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X5 @ lCorina_THFTYPE_i))),
% 1.73/1.45    inference(negated_conjecture,[status(cth)],[f5])).
% 1.73/1.45  thf(f5,conjecture,(
% 1.73/1.45    ? [X5 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (husband_THFTYPE_IiioI @ X5 @ lCorina_THFTYPE_i))),
% 1.73/1.45    file('/export/starexec/sandbox/tmp/tmp.ue1qnEpovg/DTF2THF_30285.p',con)).
% 1.73/1.45  thf(f63,plain,(
% 1.73/1.45    ( ! [X0 : $i,X1 : $i] : (((wife_THFTYPE_IiioI @ X1 @ X0) = $false) | ((husband_THFTYPE_IiioI @ X0 @ X1) = $true)) )),
% 1.73/1.45    inference(trivial_inequality_removal,[status(thm)],[f62])).
% 1.73/1.45  thf(f62,plain,(
% 1.73/1.45    ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((husband_THFTYPE_IiioI @ X0 @ X1) = $true) | ((wife_THFTYPE_IiioI @ X1 @ X0) = $false)) )),
% 1.73/1.45    inference(superposition,[status(thm)],[f26,f21])).
% 1.73/1.45  thf(f21,plain,(
% 1.73/1.45    ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
% 1.73/1.45    inference(cnf_transformation,[status(thm)],[f15])).
% 1.73/1.45  thf(f15,plain,(
% 1.73/1.45    ((inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI) = $true)),
% 1.73/1.45    inference(fool_elimination,[status(thm)],[f14])).
% 1.73/1.45  thf(f14,plain,(
% 1.73/1.45    (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 1.73/1.45    inference(rectify,[status(thm)],[f1])).
% 1.73/1.45  thf(f1,axiom,(
% 1.73/1.45    (inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI)),
% 1.73/1.45    file('/export/starexec/sandbox/tmp/tmp.ue1qnEpovg/DTF2THF_30285.p',ax)).
% 1.73/1.45  thf(f26,plain,(
% 1.73/1.45    ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true) | ((X1 @ X2 @ X3) = $true) | ((X0 @ X3 @ X2) = $false)) )),
% 1.73/1.45    inference(binary_proxy_clausification,[status(thm)],[f24])).
% 1.73/1.45  thf(f24,plain,(
% 1.73/1.45    ( ! [X2 : $i,X3 : $i,X0 : $i > $i > $o,X1 : $i > $i > $o] : (((X1 @ X2 @ X3) = (X0 @ X3 @ X2)) | ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true)) )),
% 1.73/1.45    inference(cnf_transformation,[status(thm)],[f20])).
% 1.73/1.45  thf(f20,plain,(
% 1.73/1.45    ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) != $true) | ! [X2 : $i,X3 : $i] : ((X1 @ X2 @ X3) = (X0 @ X3 @ X2)))),
% 1.73/1.45    inference(rectify,[status(thm)],[f19])).
% 1.73/1.45  thf(f19,plain,(
% 1.73/1.45    ! [X1 : $i > $i > $o,X0 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) != $true) | ! [X2 : $i,X3 : $i] : ((X1 @ X3 @ X2) = (X0 @ X2 @ X3)))),
% 1.73/1.45    inference(ennf_transformation,[status(thm)],[f13])).
% 1.73/1.45  thf(f13,plain,(
% 1.73/1.45    ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : (((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) = $true) => ! [X2 : $i,X3 : $i] : ((X1 @ X3 @ X2) = (X0 @ X2 @ X3)))),
% 1.73/1.45    inference(fool_elimination,[status(thm)],[f12])).
% 1.73/1.45  thf(f12,plain,(
% 1.73/1.45    ! [X0 : $i > $i > $o,X1 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X0 @ X1) => ! [X2 : $i,X3 : $i] : ((X1 @ X3 @ X2) <=> (X0 @ X2 @ X3)))),
% 1.73/1.45    inference(rectify,[status(thm)],[f2])).
% 1.73/1.45  thf(f2,axiom,(
% 1.73/1.45    ! [X1 : $i > $i > $o,X0 : $i > $i > $o] : ((inverse_THFTYPE_IIiioIIiioIoI @ X1 @ X0) => ! [X2 : $i,X3 : $i] : ((X0 @ X3 @ X2) <=> (X1 @ X2 @ X3)))),
% 1.73/1.45    file('/export/starexec/sandbox/tmp/tmp.ue1qnEpovg/DTF2THF_30285.p',ax_001)).
% 1.73/1.45  thf(f38,plain,(
% 1.73/1.45    ~spl0_2),
% 1.73/1.45    inference(avatar_contradiction_clause,[status(thm)],[f37])).
% 1.73/1.45  thf(f37,plain,(
% 1.73/1.45    $false | ~spl0_2),
% 1.73/1.45    inference(equality_resolution,[status(thm)],[f35])).
% 1.73/1.45  thf(f35,plain,(
% 1.73/1.45    ( ! [X0 : $i] : (((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != X0)) ) | ~spl0_2),
% 1.73/1.45    inference(avatar_component_clause,[status(thm)],[f34])).
% 1.73/1.45  thf(f34,definition,(
% 1.73/1.45    spl0_2 <=> ! [X0 : $i] : ((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != X0)),
% 1.73/1.45    introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.73/1.45  thf(f36,plain,(
% 1.73/1.45    spl0_1 | spl0_2),
% 1.73/1.45    inference(avatar_split_clause,[status(thm)],[f29,f34,f31])).
% 1.73/1.45  thf(f29,plain,(
% 1.73/1.45    ( ! [X0 : $i,X1 : $i] : (((husband_THFTYPE_IiioI @ X1 @ lCorina_THFTYPE_i) != $true) | ((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != X0)) )),
% 1.73/1.45    inference(trivial_inequality_removal,[status(thm)],[f28])).
% 1.73/1.45  thf(f28,plain,(
% 1.73/1.45    ( ! [X0 : $i,X1 : $i] : (($true != $true) | ((lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) != X0) | ((husband_THFTYPE_IiioI @ X1 @ lCorina_THFTYPE_i) != $true)) )),
% 1.73/1.45    inference(constrained_superposition,[status(thm)],[f22,f23])).
% 1.73/1.45  thf(f23,plain,(
% 1.73/1.45    ( ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ X0 @ $true) = $true)) )),
% 1.73/1.45    inference(cnf_transformation,[status(thm)],[f9])).
% 1.73/1.45  thf(f9,plain,(
% 1.73/1.45    ! [X0 : $i] : ((holdsDuring_THFTYPE_IiooI @ X0 @ $true) = $true)),
% 1.73/1.45    inference(fool_elimination,[status(thm)],[f8])).
% 1.73/1.45  thf(f8,plain,(
% 1.73/1.45    ! [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ X0 @ $true)),
% 1.73/1.45    inference(rectify,[status(thm)],[f3])).
% 1.73/1.45  thf(f3,axiom,(
% 1.73/1.45    ! [X4 : $i] : (holdsDuring_THFTYPE_IiooI @ X4 @ $true)),
% 1.73/1.45    file('/export/starexec/sandbox/tmp/tmp.ue1qnEpovg/DTF2THF_30285.p',ax_002)).
% 1.73/1.45  % SZS output end Proof for DTF2THF_30285
% 1.73/1.45  % (30382)------------------------------
% 1.73/1.45  % (30382)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.73/1.45  % (30382)Termination reason: Refutation
% 1.73/1.45  
% 1.73/1.45  % (30382)Memory used [KB]: 5500
% 1.73/1.45  % (30382)Time elapsed: 0.006 s
% 1.73/1.45  % (30382)Instructions burned: 5 (million)
% 1.73/1.45  % (30382)------------------------------
% 1.73/1.45  % (30382)------------------------------
% 1.73/1.45  % (30381)Success in time 0.021 s
%------------------------------------------------------------------------------