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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SYO184^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n016.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 09:53:36 AM UTC 2026

% Result   : Theorem 1.51s 1.26s
% Output   : Refutation 1.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   3 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :    9 (   3 fml;   6 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   2 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    8 (   2   !;   6   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f8,plain,
    $false,
    inference(equality_resolution,[status(thm)],[f7]) ).

tff(f7,plain,
    ! [X0: $o] : ( $true != (X0) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

tff(f6,plain,
    ! [X0: $o] : ( $true != (X0) ),
    inference(ennf_transformation,[status(thm)],[f5]) ).

tff(f5,plain,
    ~ ? [X0: $o] : ( $true = (X0) ),
    inference(fool_elimination,[status(thm)],[f4]) ).

tff(f4,plain,
    ~ ? [X0: $o] : (X0),
    inference(rectify,[status(thm)],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $o,X1: $o] : (X0),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f1,conjecture,
    ? [X0: $o,X1: $o] : (X0),
    file('/export/starexec/sandbox2/tmp/tmp.BzgymmjTd5/DTF2THF_3334.p',cCT9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO184^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.33  % Computer : n016.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Tue Feb 24 14:26:06 EST 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.20/0.45  ---- Original DTF file ---
% 0.20/0.45  thf(spec,logic,$$dhol).
% 0.20/0.45  %------------------------------------------------------------------------------
% 0.20/0.45  % File     : SYO184^5 : TPTP v9.2.1. Released v4.0.0.
% 0.20/0.45  % Domain   : Syntactic
% 0.20/0.45  % Problem  : TPS problem CT9
% 0.20/0.45  % Version  : Especial.
% 0.20/0.45  % English  : 
% 0.20/0.45  
% 0.20/0.45  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.45  % Source   : [Bro09]
% 0.20/0.45  % Names    : tps_0005 [Bro09]
% 0.20/0.45  %          : CT9 [TPS]
% 0.20/0.45  %          : CT616 [TPS]
% 0.20/0.45  
% 0.20/0.45  % Status   : Theorem
% 0.20/0.45  % Rating   : 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.20/0.45  % Syntax   : Number of formulae    :    1 (   0 unt;   0 typ;   0 def)
% 0.20/0.45  %            Number of atoms       :    0 (   0 equ;   0 cnn)
% 0.20/0.45  %            Maximal formula atoms :    0 (   0 avg)
% 0.20/0.45  %            Number of connectives :    0 (   0   ~;   0   |;   0   &;   0   @)
% 0.20/0.45  %                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
% 0.20/0.45  %            Maximal formula depth :    3 (   3 avg)
% 0.20/0.45  %            Number of types       :    1 (   0 usr)
% 0.20/0.45  %            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
% 0.20/0.45  %            Number of symbols     :    0 (   0 usr;   0 con; --- aty)
% 0.20/0.46  %            Number of variables   :    2 (   0   ^;   0   !;   2   ?;   2   :)
% 0.20/0.46  % SPC      : TH0_THM_NEQ_NAR
% 0.20/0.46  
% 0.20/0.46  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.46  %            project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.46  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.46  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.46  %------------------------------------------------------------------------------
% 0.20/0.46  thf(cCT9,conjecture,
% 0.20/0.46      ? [Xx: $o,Xy: $o] : Xx ).
% 0.20/0.46  
% 0.20/0.46  %------------------------------------------------------------------------------
% 0.20/0.46  ------------------------
% 1.51/1.23  ---- Embedded in THF ---
% 1.51/1.23  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.51/1.23  %%% Generated on Tue Feb 24 14:26:07 EST 2026
% 1.51/1.23  %%% using '$$dhol' embedding, version 1.3.0.
% 1.51/1.23  %%% Logic specification used:
% 1.51/1.23  %%% thf(spec, logic, $$dhol).
% 1.51/1.23  
% 1.51/1.23  % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.BzgymmjTd5/DTF2DTF3334.p
% See solution above
% 1.51/1.23  ------------------------
% 1.51/1.24  ---- Cleaned THF ---
% 1.51/1.24  thf(cCT9,conjecture,
% 1.51/1.24      ? [Xx: $o,Xy: $o] : Xx ).
% 1.51/1.24  ------------------------
% 1.51/1.25  % (3473)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_3334 for (3000ds/4Mi)
% 1.51/1.25  % (3473)First to succeed.
% 1.51/1.26  % (3478)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_3334 for (3000ds/18Mi)
% 1.51/1.26  % (3472)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_3334 for (3000ds/183Mi)
% 1.51/1.26  % (3478)Also succeeded, but the first one will report.
% 1.51/1.26  % (3472)Also succeeded, but the first one will report.
% 1.51/1.26  % (3473)Refutation found. Thanks to Tanya!
% 1.51/1.26  % SZS status Theorem for DTF2THF_3334
% 1.51/1.26  % SZS output start Proof for DTF2THF_3334
% 1.51/1.26  tff(f8,plain,(
% 1.51/1.26    $false),
% 1.51/1.26    inference(equality_resolution,[status(thm)],[f7])).
% 1.51/1.26  tff(f7,plain,(
% 1.51/1.26    ( ! [X0 : $o] : (($true != X0)) )),
% 1.51/1.26    inference(cnf_transformation,[status(thm)],[f6])).
% 1.51/1.26  tff(f6,plain,(
% 1.51/1.26    ! [X0 : $o] : ($true != X0)),
% 1.51/1.26    inference(ennf_transformation,[status(thm)],[f5])).
% 1.51/1.26  tff(f5,plain,(
% 1.51/1.26    ~? [X0 : $o] : ($true = X0)),
% 1.51/1.26    inference(fool_elimination,[status(thm)],[f4])).
% 1.51/1.26  tff(f4,plain,(
% 1.51/1.26    ~? [X0 : $o] : X0),
% 1.51/1.26    inference(rectify,[status(thm)],[f2])).
% 1.51/1.26  tff(f2,negated_conjecture,(
% 1.51/1.26    ~? [X0 : $o,X1 : $o] : X0),
% 1.51/1.26    inference(negated_conjecture,[status(cth)],[f1])).
% 1.51/1.26  tff(f1,conjecture,(
% 1.51/1.26    ? [X0 : $o,X1 : $o] : X0),
% 1.51/1.26    file('/export/starexec/sandbox2/tmp/tmp.BzgymmjTd5/DTF2THF_3334.p',cCT9)).
% 1.51/1.26  % SZS output end Proof for DTF2THF_3334
% 1.51/1.26  % (3473)------------------------------
% 1.51/1.26  % (3473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.26  % (3473)Termination reason: Refutation
% 1.51/1.26  
% 1.51/1.26  % (3473)Memory used [KB]: 5373
% 1.51/1.26  % (3473)Time elapsed: 0.001 s
% 1.51/1.26  % (3473)------------------------------
% 1.51/1.26  % (3473)------------------------------
% 1.51/1.26  % (3471)Success in time 0.008 s
%------------------------------------------------------------------------------