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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : CSR135^1 : 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 : n006.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 08:43:06 AM UTC 2026

% Result   : Theorem 0.23s 1.43s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   56 (  11 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :   48 (  12   ~;   4   |;   4   &;  28   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (   4   ^;   2   !;   4   ?;  10   :)

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

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

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

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

thf(f47,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[f46]) ).

thf(f46,plain,
    $true != $true,
    inference(duplicate_literal_removal,[status(thm)],[f45]) ).

thf(f45,plain,
    ( ( $true != $true )
    | ( $true != $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f36]) ).

thf(f36,plain,
    ( ( $true
     != ( ^ [Y0: $i,Y1: $i] : $true
        @ lMary_THFTYPE_i
        @ lBill_THFTYPE_i ) )
    | ( $true
     != ( ^ [Y0: $i,Y1: $i] : $true
        @ lSue_THFTYPE_i
        @ lBill_THFTYPE_i ) ) ),
    inference(primitive_instantiation,[status(thm)],[f31]) ).

thf(f31,plain,
    ! [X0: $i > $i > $o] :
      ( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
       != $true )
      | ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
       != $true ) ),
    inference(cnf_transformation,[status(thm)],[f30]) ).

thf(f30,plain,
    ! [X0: $i > $i > $o] :
      ( ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
       != $true )
      | ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
       != $true ) ),
    inference(ennf_transformation,[status(thm)],[f19]) ).

thf(f19,plain,
    ~ ? [X0: $i > $i > $o] :
        ( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
          = $true )
        & ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
          = $true ) ),
    inference(fool_elimination,[status(thm)],[f18]) ).

thf(f18,plain,
    ~ ? [X0: $i > $i > $o] :
        ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(rectify,[status(thm)],[f10]) ).

thf(f10,negated_conjecture,
    ~ ? [X0: $i > $i > $o] :
        ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(negated_conjecture,[status(cth)],[f9]) ).

thf(f9,conjecture,
    ? [X0: $i > $i > $o] :
      ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      & ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    file('/export/starexec/sandbox/tmp/tmp.WvK9Lc6rxK/DTF2THF_558.p',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : CSR135^1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.10  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.30  % Computer : n006.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 300
% 0.11/0.30  % DateTime : Tue Feb 24 05:52:30 EST 2026
% 0.11/0.30  % CPUTime  : 
% 0.11/0.30  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.40  ---- Original DTF file ---
% 0.16/0.40  thf(spec,logic,$$dhol).
% 0.16/0.40  %------------------------------------------------------------------------------
% 0.16/0.40  % File     : CSR135^1 : TPTP v9.2.1. Released v4.1.0.
% 0.16/0.40  % Domain   : Commonsense Reasoning
% 0.16/0.40  % Problem  : What's a common feeling of Sue and Mary to Bill?
% 0.16/0.40  % Version  : Especial.
% 0.16/0.40  % English  : Does there exists a relation ?R that holds between Sue and Bill 
% 0.16/0.40  %            as well as between Mary and Bill?
% 0.16/0.40  
% 0.16/0.40  % Refs     : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.16/0.40  % Source   : [Ben10]
% 0.16/0.40  % Names    : rv_1.tq_SUMO_local [Ben10]
% 0.16/0.40  
% 0.16/0.40  % Status   : Theorem
% 0.16/0.40  % 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 v6.1.0, 0.33 v6.0.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.1.0
% 0.16/0.40  % Syntax   : Number of formulae    :   18 (   7 unt;   9 typ;   0 def)
% 0.16/0.40  %            Number of atoms       :    9 (   0 equ;   1 cnn)
% 0.16/0.40  %            Maximal formula atoms :    2 (   1 avg)
% 0.16/0.40  %            Number of connectives :   23 (   1   ~;   0   |;   1   &;  21   @)
% 0.16/0.40  %                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
% 0.16/0.40  %            Maximal formula depth :    5 (   3 avg)
% 0.16/0.40  %            Number of types       :    3 (   1 usr)
% 0.16/0.40  %            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
% 0.16/0.40  %            Number of symbols     :    9 (   8 usr;   7 con; 0-2 aty)
% 0.16/0.40  %            Number of variables   :    1 (   0   ^;   0   !;   1   ?;   1   :)
% 0.16/0.40  % SPC      : TH0_THM_NEQ_NAR
% 0.16/0.40  
% 0.16/0.40  % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.16/0.40  %            Initally the problem has been hand generated in KIF syntax in
% 0.16/0.40  %            SigmaKEE and then automatically translated by Benzmueller's
% 0.16/0.40  %            KIF2TH0 translator into THF syntax.
% 0.16/0.40  %          : The translation has been applied in two modes: local and SInE.
% 0.16/0.40  %            The local mode only translates the local assumptions and the
% 0.16/0.40  %            query. The SInE mode additionally translates the SInE-extract
% 0.16/0.40  %            of the loaded knowledge base (usually SUMO).
% 0.16/0.40  %          : The examples are selected to illustrate the benefits of
% 0.16/0.40  %            higher-order reasoning in ontology reasoning.
% 0.16/0.40  %------------------------------------------------------------------------------
% 0.16/0.40  %----The extracted signature
% 0.16/0.40  thf(numbers,type,
% 0.16/0.40      num: $tType ).
% 0.16/0.40  
% 0.16/0.40  thf(lAnna_THFTYPE_i,type,
% 0.16/0.40      lAnna_THFTYPE_i: $i ).
% 0.16/0.40  
% 0.16/0.40  thf(lBen_THFTYPE_i,type,
% 0.16/0.40      lBen_THFTYPE_i: $i ).
% 0.16/0.40  
% 0.16/0.40  thf(lBill_THFTYPE_i,type,
% 0.16/0.40      lBill_THFTYPE_i: $i ).
% 0.16/0.40  
% 0.16/0.40  thf(lBob_THFTYPE_i,type,
% 0.16/0.40      lBob_THFTYPE_i: $i ).
% 0.16/0.40  
% 0.16/0.40  thf(lMary_THFTYPE_i,type,
% 0.16/0.40      lMary_THFTYPE_i: $i ).
% 0.16/0.40  
% 0.16/0.40  thf(lSue_THFTYPE_i,type,
% 0.16/0.40      lSue_THFTYPE_i: $i ).
% 0.16/0.40  
% 0.16/0.40  thf(likes_THFTYPE_IiioI,type,
% 0.16/0.40      likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.16/0.40  
% 0.16/0.40  thf(parent_THFTYPE_IiioI,type,
% 0.16/0.40      parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.16/0.40  
% 0.16/0.40  %----The translated axioms
% 0.16/0.40  thf(ax,axiom,
% 0.16/0.40      likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.16/0.40  
% 0.16/0.40  thf(ax_001,axiom,
% 0.16/0.40      (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 0.16/0.40  
% 0.16/0.40  thf(ax_002,axiom,
% 0.16/0.40      likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.16/0.40  
% 0.16/0.40  thf(ax_003,axiom,
% 0.16/0.40      parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.16/0.40  
% 0.16/0.40  thf(ax_004,axiom,
% 0.16/0.40      parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.16/0.40  
% 0.16/0.40  thf(ax_005,axiom,
% 0.16/0.40      likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.16/0.40  
% 0.16/0.40  thf(ax_006,axiom,
% 0.16/0.40      parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.16/0.40  
% 0.16/0.40  thf(ax_007,axiom,
% 0.16/0.40      parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.16/0.40  
% 0.16/0.40  %----The translated conjecture
% 0.16/0.40  thf(con,conjecture,
% 0.16/0.40      ? [R: $i > $i > $o] :
% 0.16/0.40        ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
% 0.16/0.40        & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ).
% 0.16/0.40  
% 0.16/0.40  %------------------------------------------------------------------------------
% 0.16/0.40  ------------------------
% 0.23/1.40  ---- Embedded in THF ---
% 0.23/1.40  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.23/1.40  %%% Generated on Tue Feb 24 05:52:31 EST 2026
% 0.23/1.40  %%% using '$$dhol' embedding, version 1.3.0.
% 0.23/1.40  %%% Logic specification used:
% 0.23/1.40  %%% thf(spec, logic, $$dhol).
% 0.23/1.40  
% 0.23/1.40  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.WvK9Lc6rxK/DTF2DTF558.p
% See solution above
% 0.23/1.40  ------------------------
% 0.23/1.41  ---- Cleaned THF ---
% 0.23/1.41  thf(numbers,type,
% 0.23/1.41      num: $tType ).
% 0.23/1.41  
% 0.23/1.41  thf(lAnna_THFTYPE_i,type,
% 0.23/1.41      lAnna_THFTYPE_i: $i ).
% 0.23/1.41  
% 0.23/1.41  thf(lBen_THFTYPE_i,type,
% 0.23/1.41      lBen_THFTYPE_i: $i ).
% 0.23/1.41  
% 0.23/1.41  thf(lBill_THFTYPE_i,type,
% 0.23/1.41      lBill_THFTYPE_i: $i ).
% 0.23/1.41  
% 0.23/1.41  thf(lBob_THFTYPE_i,type,
% 0.23/1.41      lBob_THFTYPE_i: $i ).
% 0.23/1.41  
% 0.23/1.41  thf(lMary_THFTYPE_i,type,
% 0.23/1.41      lMary_THFTYPE_i: $i ).
% 0.23/1.41  
% 0.23/1.41  thf(lSue_THFTYPE_i,type,
% 0.23/1.41      lSue_THFTYPE_i: $i ).
% 0.23/1.41  
% 0.23/1.41  thf(likes_THFTYPE_IiioI,type,
% 0.23/1.41      likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.23/1.41  
% 0.23/1.41  thf(parent_THFTYPE_IiioI,type,
% 0.23/1.41      parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.23/1.41  
% 0.23/1.41  thf(ax,axiom,
% 0.23/1.41      likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.23/1.41  
% 0.23/1.41  thf(ax_001,axiom,
% 0.23/1.41      (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 0.23/1.41  
% 0.23/1.41  thf(ax_002,axiom,
% 0.23/1.41      likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.23/1.41  
% 0.23/1.41  thf(ax_003,axiom,
% 0.23/1.41      parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.23/1.41  
% 0.23/1.41  thf(ax_004,axiom,
% 0.23/1.41      parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.23/1.41  
% 0.23/1.41  thf(ax_005,axiom,
% 0.23/1.41      likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.23/1.41  
% 0.23/1.41  thf(ax_006,axiom,
% 0.23/1.41      parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.23/1.41  
% 0.23/1.41  thf(ax_007,axiom,
% 0.23/1.41      parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.23/1.41  
% 0.23/1.41  thf(con,conjecture,
% 0.23/1.41      ? [R: $i > $i > $o] :
% 0.23/1.41        ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
% 0.23/1.41        & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ).
% 0.23/1.41  ------------------------
% 0.23/1.43  % (681)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_558 for (2999ds/18Mi)
% 0.23/1.43  % (676)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_558 for (2999ds/4Mi)
% 0.23/1.43  % (675)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_558 for (2999ds/183Mi)
% 0.23/1.43  % (679)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_558 for (2999ds/2Mi)
% 0.23/1.43  % (680)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_558 for (2999ds/275Mi)
% 0.23/1.43  % (678)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_558 for (2999ds/2Mi)
% 0.23/1.43  % (677)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_558 for (2999ds/27Mi)
% 0.23/1.43  % (679)Instruction limit reached!
% 0.23/1.43  % (679)------------------------------
% 0.23/1.43  % (679)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.23/1.43  % (679)Termination reason: Unknown
% 0.23/1.43  % (679)Termination phase: Saturation
% 0.23/1.43  
% 0.23/1.43  % (679)Memory used [KB]: 895
% 0.23/1.43  % (679)Time elapsed: 0.003 s
% 0.23/1.43  % (679)Instructions burned: 2 (million)
% 0.23/1.43  % (679)------------------------------
% 0.23/1.43  % (679)------------------------------
% 0.23/1.43  % (680)First to succeed.
% 0.23/1.43  % (678)Instruction limit reached!
% 0.23/1.43  % (678)------------------------------
% 0.23/1.43  % (678)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.23/1.43  % (678)Termination reason: Unknown
% 0.23/1.43  % (678)Termination phase: Saturation
% 0.23/1.43  
% 0.23/1.43  % (678)Memory used [KB]: 5500
% 0.23/1.43  % (678)Time elapsed: 0.003 s
% 0.23/1.43  % (678)Instructions burned: 3 (million)
% 0.23/1.43  % (678)------------------------------
% 0.23/1.43  % (678)------------------------------
% 0.23/1.43  % (676)Instruction limit reached!
% 0.23/1.43  % (676)------------------------------
% 0.23/1.43  % (676)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.23/1.43  % (676)Termination reason: Unknown
% 0.23/1.43  % (677)Also succeeded, but the first one will report.
% 0.23/1.43  % (676)Termination phase: Saturation
% 0.23/1.43  
% 0.23/1.43  % (676)Memory used [KB]: 5500
% 0.23/1.43  % (676)Time elapsed: 0.005 s
% 0.23/1.43  % (676)Instructions burned: 4 (million)
% 0.23/1.43  % (676)------------------------------
% 0.23/1.43  % (676)------------------------------
% 0.23/1.43  % (680)Refutation found. Thanks to Tanya!
% 0.23/1.43  % SZS status Theorem for DTF2THF_558
% 0.23/1.43  % SZS output start Proof for DTF2THF_558
% 0.23/1.43  thf(func_def_0, type, num: $tType).
% 0.23/1.43  thf(func_def_7, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 0.23/1.43  thf(func_def_8, type, parent_THFTYPE_IiioI: $i > $i > $o).
% 0.23/1.43  thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 0.23/1.43  thf(f47,plain,(
% 0.23/1.43    $false),
% 0.23/1.43    inference(trivial_inequality_removal,[status(thm)],[f46])).
% 0.23/1.43  thf(f46,plain,(
% 0.23/1.43    ($true != $true)),
% 0.23/1.43    inference(duplicate_literal_removal,[status(thm)],[f45])).
% 0.23/1.43  thf(f45,plain,(
% 0.23/1.43    ($true != $true) | ($true != $true)),
% 0.23/1.43    inference(beta_eta_normalization,[status(thm)],[f36])).
% 0.23/1.43  thf(f36,plain,(
% 0.23/1.43    ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) | ($true != ((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.23/1.43    inference(primitive_instantiation,[status(thm)],[f31])).
% 0.23/1.43  thf(f31,plain,(
% 0.23/1.43    ( ! [X0 : $i > $i > $o] : (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true)) )),
% 0.23/1.43    inference(cnf_transformation,[status(thm)],[f30])).
% 0.23/1.43  thf(f30,plain,(
% 0.23/1.43    ! [X0 : $i > $i > $o] : (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true))),
% 0.23/1.43    inference(ennf_transformation,[status(thm)],[f19])).
% 0.23/1.43  thf(f19,plain,(
% 0.23/1.43    ~? [X0 : $i > $i > $o] : (((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true) & ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true))),
% 0.23/1.43    inference(fool_elimination,[status(thm)],[f18])).
% 0.23/1.43  thf(f18,plain,(
% 0.23/1.43    ~? [X0 : $i > $i > $o] : ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.23/1.43    inference(rectify,[status(thm)],[f10])).
% 0.23/1.43  thf(f10,negated_conjecture,(
% 0.23/1.43    ~? [X0 : $i > $i > $o] : ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.23/1.43    inference(negated_conjecture,[status(cth)],[f9])).
% 0.23/1.43  thf(f9,conjecture,(
% 0.23/1.43    ? [X0 : $i > $i > $o] : ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 0.23/1.43    file('/export/starexec/sandbox/tmp/tmp.WvK9Lc6rxK/DTF2THF_558.p',con)).
% 0.23/1.43  % SZS output end Proof for DTF2THF_558
% 0.23/1.43  % (680)------------------------------
% 0.23/1.43  % (680)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.23/1.43  % (680)Termination reason: Refutation
% 0.23/1.43  
% 0.23/1.43  % (680)Memory used [KB]: 5500
% 0.23/1.43  % (680)Time elapsed: 0.004 s
% 0.23/1.43  % (680)Instructions burned: 1 (million)
% 0.23/1.43  % (680)------------------------------
% 0.23/1.43  % (680)------------------------------
% 0.23/1.43  % (674)Success in time 0.018 s
%------------------------------------------------------------------------------