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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : CSR135^2 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n007.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 1.59s 1.34s
% Output   : Refutation 1.59s
% 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(f54,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[f53]) ).

thf(f53,plain,
    $true != $true,
    inference(duplicate_literal_removal,[status(thm)],[f52]) ).

thf(f52,plain,
    ( ( $true != $true )
    | ( $true != $true ) ),
    inference(beta_eta_normalization,[status(thm)],[f47]) ).

thf(f47,plain,
    ( ( ( ^ [Y0: $i,Y1: $i] : $true
        @ lMary_THFTYPE_i
        @ lBill_THFTYPE_i )
     != $true )
    | ( ( ^ [Y0: $i,Y1: $i] : $true
        @ lSue_THFTYPE_i
        @ lBill_THFTYPE_i )
     != $true ) ),
    inference(primitive_instantiation,[status(thm)],[f44]) ).

thf(f44,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)],[f39]) ).

thf(f39,plain,
    ! [X0: $i > $i > $o] :
      ( ( ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
       != $true )
      | ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
       != $true ) ),
    inference(ennf_transformation,[status(thm)],[f18]) ).

thf(f18,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)],[f17]) ).

thf(f17,plain,
    ~ ? [X0: $i > $i > $o] :
        ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
        & ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    inference(rectify,[status(thm)],[f13]) ).

thf(f13,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)],[f12]) ).

thf(f12,conjecture,
    ? [X0: $i > $i > $o] :
      ( ( X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
      & ( X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
    file('/export/starexec/sandbox2/tmp/tmp.RYmjfPkhfC/DTF2THF_19823.p',con) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : CSR135^2 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.09  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.29  % Computer : n007.cluster.edu
% 0.11/0.29  % Model    : x86_64 x86_64
% 0.11/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29  % Memory   : 8042.1875MB
% 0.11/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29  % CPULimit : 300
% 0.11/0.29  % WCLimit  : 300
% 0.11/0.29  % DateTime : Tue Feb 24 05:49:53 EST 2026
% 0.11/0.29  % CPUTime  : 
% 0.11/0.29  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.38  ---- Original DTF file ---
% 0.18/0.38  thf(spec,logic,$$dhol).
% 0.18/0.38  %------------------------------------------------------------------------------
% 0.18/0.38  % File     : CSR135^2 : TPTP v9.2.1. Released v4.1.0.
% 0.18/0.38  % Domain   : Commonsense Reasoning
% 0.18/0.38  % Problem  : What's a common feeling of Sue and Mary to Bill?
% 0.18/0.38  % Version  : Especial > Augmented > Especial.
% 0.18/0.38  % English  : Does there exists a relation ?R that holds between Sue and Bill 
% 0.18/0.38  %            as well as between Mary and Bill?
% 0.18/0.38  
% 0.18/0.38  % Refs     : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.18/0.38  % Source   : [Ben10]
% 0.18/0.38  % Names    : rv_1.tq_SUMO_sine [Ben10]
% 0.18/0.38  
% 0.18/0.38  % Status   : Theorem
% 0.18/0.38  % 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
% 0.18/0.38  % Syntax   : Number of formulae    :   21 (   9 unt;   9 typ;   0 def)
% 0.18/0.38  %            Number of atoms       :   13 (   0 equ;   2 cnn)
% 0.18/0.38  %            Maximal formula atoms :    2 (   1 avg)
% 0.18/0.38  %            Number of connectives :   31 (   2   ~;   0   |;   1   &;  28   @)
% 0.18/0.38  %                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
% 0.18/0.38  %            Maximal formula depth :    5 (   3 avg)
% 0.18/0.38  %            Number of types       :    3 (   1 usr)
% 0.18/0.38  %            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
% 0.18/0.38  %            Number of symbols     :    9 (   8 usr;   7 con; 0-2 aty)
% 0.18/0.38  %            Number of variables   :    1 (   0   ^;   0   !;   1   ?;   1   :)
% 0.18/0.38  % SPC      : TH0_THM_NEQ_NAR
% 0.18/0.38  
% 0.18/0.38  % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.18/0.38  %            Initally the problem has been hand generated in KIF syntax in
% 0.18/0.38  %            SigmaKEE and then automatically translated by Benzmueller's
% 0.18/0.38  %            KIF2TH0 translator into THF syntax.
% 0.18/0.38  %          : The translation has been applied in two modes: local and SInE.
% 0.18/0.38  %            The local mode only translates the local assumptions and the
% 0.18/0.38  %            query. The SInE mode additionally translates the SInE-extract
% 0.18/0.38  %            of the loaded knowledge base (usually SUMO).
% 0.18/0.38  %          : The examples are selected to illustrate the benefits of
% 0.18/0.38  %            higher-order reasoning in ontology reasoning.
% 0.18/0.38  %------------------------------------------------------------------------------
% 0.18/0.38  %----The extracted signature
% 0.18/0.38  thf(numbers,type,
% 0.18/0.38      num: $tType ).
% 0.18/0.38  
% 0.18/0.38  thf(lAnna_THFTYPE_i,type,
% 0.18/0.38      lAnna_THFTYPE_i: $i ).
% 0.18/0.38  
% 0.18/0.38  thf(lBen_THFTYPE_i,type,
% 0.18/0.38      lBen_THFTYPE_i: $i ).
% 0.18/0.38  
% 0.18/0.38  thf(lBill_THFTYPE_i,type,
% 0.18/0.38      lBill_THFTYPE_i: $i ).
% 0.18/0.38  
% 0.18/0.38  thf(lBob_THFTYPE_i,type,
% 0.18/0.38      lBob_THFTYPE_i: $i ).
% 0.18/0.38  
% 0.18/0.38  thf(lMary_THFTYPE_i,type,
% 0.18/0.38      lMary_THFTYPE_i: $i ).
% 0.18/0.38  
% 0.18/0.38  thf(lSue_THFTYPE_i,type,
% 0.18/0.38      lSue_THFTYPE_i: $i ).
% 0.18/0.38  
% 0.18/0.38  thf(likes_THFTYPE_IiioI,type,
% 0.18/0.38      likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.18/0.38  
% 0.18/0.38  thf(parent_THFTYPE_IiioI,type,
% 0.18/0.38      parent_THFTYPE_IiioI: $i > $i > $o ).
% 0.18/0.38  
% 0.18/0.38  %----The translated axioms
% 0.18/0.38  thf(ax,axiom,
% 0.18/0.38      likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.18/0.38  
% 0.18/0.38  thf(ax_001,axiom,
% 0.18/0.38      likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.18/0.38  
% 0.18/0.38  thf(ax_002,axiom,
% 0.18/0.38      (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 0.18/0.38  
% 0.18/0.38  thf(ax_003,axiom,
% 0.18/0.38      (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 0.18/0.38  
% 0.18/0.38  thf(ax_004,axiom,
% 0.18/0.38      likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.18/0.38  
% 0.18/0.38  thf(ax_005,axiom,
% 0.18/0.38      likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.18/0.38  
% 0.18/0.38  thf(ax_006,axiom,
% 0.18/0.38      parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.18/0.38  
% 0.18/0.38  thf(ax_007,axiom,
% 0.18/0.38      parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ).
% 0.18/0.38  
% 0.18/0.38  thf(ax_008,axiom,
% 0.18/0.38      likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.18/0.38  
% 0.18/0.38  thf(ax_009,axiom,
% 0.18/0.38      parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.18/0.38  
% 0.18/0.38  thf(ax_010,axiom,
% 0.18/0.38      parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ).
% 0.18/0.38  
% 0.18/0.38  %----The translated conjecture
% 0.18/0.38  thf(con,conjecture,
% 0.18/0.38      ? [R: $i > $i > $o] :
% 0.18/0.38        ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
% 0.18/0.38        & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ).
% 0.18/0.38  
% 0.18/0.38  %------------------------------------------------------------------------------
% 0.18/0.38  ------------------------
% 1.59/1.30  ---- Embedded in THF ---
% 1.59/1.31  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.59/1.31  %%% Generated on Tue Feb 24 05:49:54 EST 2026
% 1.59/1.31  %%% using '$$dhol' embedding, version 1.3.0.
% 1.59/1.31  %%% Logic specification used:
% 1.59/1.31  %%% thf(spec, logic, $$dhol).
% 1.59/1.31  
% 1.59/1.31  % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.RYmjfPkhfC/DTF2DTF19823.p
% See solution above
% 1.59/1.31  ------------------------
% 1.59/1.31  ---- Cleaned THF ---
% 1.59/1.32  thf(numbers,type,
% 1.59/1.32      num: $tType ).
% 1.59/1.32  
% 1.59/1.32  thf(lAnna_THFTYPE_i,type,
% 1.59/1.32      lAnna_THFTYPE_i: $i ).
% 1.59/1.32  
% 1.59/1.32  thf(lBen_THFTYPE_i,type,
% 1.59/1.32      lBen_THFTYPE_i: $i ).
% 1.59/1.32  
% 1.59/1.32  thf(lBill_THFTYPE_i,type,
% 1.59/1.32      lBill_THFTYPE_i: $i ).
% 1.59/1.32  
% 1.59/1.32  thf(lBob_THFTYPE_i,type,
% 1.59/1.32      lBob_THFTYPE_i: $i ).
% 1.59/1.32  
% 1.59/1.32  thf(lMary_THFTYPE_i,type,
% 1.59/1.32      lMary_THFTYPE_i: $i ).
% 1.59/1.32  
% 1.59/1.32  thf(lSue_THFTYPE_i,type,
% 1.59/1.32      lSue_THFTYPE_i: $i ).
% 1.59/1.32  
% 1.59/1.32  thf(likes_THFTYPE_IiioI,type,
% 1.59/1.32      likes_THFTYPE_IiioI: $i > $i > $o ).
% 1.59/1.32  
% 1.59/1.32  thf(parent_THFTYPE_IiioI,type,
% 1.59/1.32      parent_THFTYPE_IiioI: $i > $i > $o ).
% 1.59/1.32  
% 1.59/1.32  thf(ax,axiom,
% 1.59/1.32      likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.59/1.32  
% 1.59/1.32  thf(ax_001,axiom,
% 1.59/1.32      likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.59/1.32  
% 1.59/1.32  thf(ax_002,axiom,
% 1.59/1.32      (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 1.59/1.32  
% 1.59/1.32  thf(ax_003,axiom,
% 1.59/1.32      (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ).
% 1.59/1.32  
% 1.59/1.32  thf(ax_004,axiom,
% 1.59/1.32      likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.59/1.32  
% 1.59/1.32  thf(ax_005,axiom,
% 1.59/1.32      likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.59/1.32  
% 1.59/1.32  thf(ax_006,axiom,
% 1.59/1.32      parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ).
% 1.59/1.32  
% 1.59/1.32  thf(ax_007,axiom,
% 1.59/1.32      parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ).
% 1.59/1.32  
% 1.59/1.32  thf(ax_008,axiom,
% 1.59/1.32      likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.59/1.32  
% 1.59/1.32  thf(ax_009,axiom,
% 1.59/1.32      parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ).
% 1.59/1.32  
% 1.59/1.32  thf(ax_010,axiom,
% 1.59/1.32      parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ).
% 1.59/1.32  
% 1.59/1.32  thf(con,conjecture,
% 1.59/1.32      ? [R: $i > $i > $o] :
% 1.59/1.32        ( ( R @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
% 1.59/1.32        & ( R @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ).
% 1.59/1.32  ------------------------
% 1.59/1.34  % (19922)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_19823 for (2999ds/4Mi)
% 1.59/1.34  % (19927)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_19823 for (2999ds/18Mi)
% 1.59/1.34  % (19925)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_19823 for (2999ds/2Mi)
% 1.59/1.34  % (19923)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_19823 for (2999ds/27Mi)
% 1.59/1.34  % (19924)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_19823 for (2999ds/2Mi)
% 1.59/1.34  % (19926)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_19823 for (2999ds/275Mi)
% 1.59/1.34  % (19921)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_19823 for (2999ds/183Mi)
% 1.59/1.34  % (19924)Instruction limit reached!
% 1.59/1.34  % (19924)------------------------------
% 1.59/1.34  % (19924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34  % (19924)Termination reason: Unknown
% 1.59/1.34  % (19924)Termination phase: Saturation
% 1.59/1.34  % (19925)Instruction limit reached!
% 1.59/1.34  % (19925)------------------------------
% 1.59/1.34  % (19925)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34  % (19925)Termination reason: Unknown
% 1.59/1.34  % (19925)Termination phase: Saturation
% 1.59/1.34  
% 1.59/1.34  % (19925)Memory used [KB]: 1023
% 1.59/1.34  % (19925)Time elapsed: 0.003 s
% 1.59/1.34  % (19925)Instructions burned: 2 (million)
% 1.59/1.34  % (19925)------------------------------
% 1.59/1.34  % (19925)------------------------------
% 1.59/1.34  
% 1.59/1.34  % (19924)Memory used [KB]: 5373
% 1.59/1.34  % (19924)Time elapsed: 0.003 s
% 1.59/1.34  % (19924)Instructions burned: 2 (million)
% 1.59/1.34  % (19924)------------------------------
% 1.59/1.34  % (19924)------------------------------
% 1.59/1.34  % (19926)First to succeed.
% 1.59/1.34  % (19923)Also succeeded, but the first one will report.
% 1.59/1.34  % (19926)Refutation found. Thanks to Tanya!
% 1.59/1.34  % SZS status Theorem for DTF2THF_19823
% 1.59/1.34  % SZS output start Proof for DTF2THF_19823
% 1.59/1.34  thf(func_def_0, type, num: $tType).
% 1.59/1.34  thf(func_def_7, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 1.59/1.34  thf(func_def_8, type, parent_THFTYPE_IiioI: $i > $i > $o).
% 1.59/1.34  thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 1.59/1.34  thf(f54,plain,(
% 1.59/1.34    $false),
% 1.59/1.34    inference(trivial_inequality_removal,[status(thm)],[f53])).
% 1.59/1.34  thf(f53,plain,(
% 1.59/1.34    ($true != $true)),
% 1.59/1.34    inference(duplicate_literal_removal,[status(thm)],[f52])).
% 1.59/1.34  thf(f52,plain,(
% 1.59/1.34    ($true != $true) | ($true != $true)),
% 1.59/1.34    inference(beta_eta_normalization,[status(thm)],[f47])).
% 1.59/1.34  thf(f47,plain,(
% 1.59/1.34    (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true) | (((^[Y0 : $i]: ((^[Y1 : $i]: ($true)))) @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true)),
% 1.59/1.34    inference(primitive_instantiation,[status(thm)],[f44])).
% 1.59/1.34  thf(f44,plain,(
% 1.59/1.34    ( ! [X0 : $i > $i > $o] : (((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true)) )),
% 1.59/1.34    inference(cnf_transformation,[status(thm)],[f39])).
% 1.59/1.34  thf(f39,plain,(
% 1.59/1.34    ! [X0 : $i > $i > $o] : (((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) != $true) | ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) != $true))),
% 1.59/1.34    inference(ennf_transformation,[status(thm)],[f18])).
% 1.59/1.34  thf(f18,plain,(
% 1.59/1.34    ~? [X0 : $i > $i > $o] : (((X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true) & ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) = $true))),
% 1.59/1.34    inference(fool_elimination,[status(thm)],[f17])).
% 1.59/1.34  thf(f17,plain,(
% 1.59/1.34    ~? [X0 : $i > $i > $o] : ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.59/1.34    inference(rectify,[status(thm)],[f13])).
% 1.59/1.34  thf(f13,negated_conjecture,(
% 1.59/1.34    ~? [X0 : $i > $i > $o] : ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.59/1.34    inference(negated_conjecture,[status(cth)],[f12])).
% 1.59/1.34  thf(f12,conjecture,(
% 1.59/1.34    ? [X0 : $i > $i > $o] : ((X0 @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (X0 @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.59/1.34    file('/export/starexec/sandbox2/tmp/tmp.RYmjfPkhfC/DTF2THF_19823.p',con)).
% 1.59/1.34  % SZS output end Proof for DTF2THF_19823
% 1.59/1.34  % (19926)------------------------------
% 1.59/1.34  % (19926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34  % (19926)Termination reason: Refutation
% 1.59/1.34  
% 1.59/1.34  % (19926)Memory used [KB]: 5500
% 1.59/1.34  % (19926)Time elapsed: 0.003 s
% 1.59/1.34  % (19926)Instructions burned: 2 (million)
% 1.59/1.34  % (19926)------------------------------
% 1.59/1.34  % (19926)------------------------------
% 1.59/1.34  % (19920)Success in time 0.019 s
%------------------------------------------------------------------------------