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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SYO190^5 : 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 : n020.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 09:53:37 AM UTC 2026

% Result   : Theorem 1.26s 1.14s
% Output   : Refutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   8   ~;   4   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   20 (   7 fml;  13 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   :   13 (   5   !;   8   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f11,plain,
    $false,
    inference(equality_resolution,[status(thm)],[f8]) ).

tff(f8,plain,
    ! [X0: $o] : ( $true != (X0) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

tff(f7,plain,
    ! [X0: $o,X1: $o] :
      ( ( $true != (X1) )
      & ( $true != (X0) ) ),
    inference(rectify,[status(thm)],[f6]) ).

tff(f6,plain,
    ! [X1: $o,X0: $o] :
      ( ( $true != (X0) )
      & ( $true != (X1) ) ),
    inference(ennf_transformation,[status(thm)],[f5]) ).

tff(f5,plain,
    ~ ? [X1: $o,X0: $o] :
        ( ( $true = (X0) )
        | ( $true = (X1) ) ),
    inference(fool_elimination,[status(thm)],[f4]) ).

tff(f4,plain,
    ~ ? [X0: $o,X1: $o] :
        ( (X1)
        | (X0) ),
    inference(rectify,[status(thm)],[f2]) ).

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

tff(f1,conjecture,
    ? [X1: $o,X0: $o] :
      ( (X0)
      | (X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.IEhgJ5zxhM/DTF2THF_29291.p',cCT15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO190^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Feb 24 14:25:57 EST 2026
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.43  ---- Original DTF file ---
% 0.15/0.43  thf(spec,logic,$$dhol).
% 0.15/0.43  %------------------------------------------------------------------------------
% 0.15/0.43  % File     : SYO190^5 : TPTP v9.2.1. Released v4.0.0.
% 0.15/0.43  % Domain   : Syntactic
% 0.15/0.43  % Problem  : TPS problem CT15
% 0.15/0.43  % Version  : Especial.
% 0.15/0.43  % English  : 
% 0.15/0.43  
% 0.15/0.43  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.15/0.43  % Source   : [Bro09]
% 0.15/0.43  % Names    : tps_0015 [Bro09]
% 0.15/0.43  %          : CT15 [TPS]
% 0.15/0.43  
% 0.15/0.43  % Status   : Theorem
% 0.15/0.43  % Rating   : 0.08 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.08 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 v6.0.0, 0.00 v4.0.0
% 0.15/0.43  % Syntax   : Number of formulae    :    1 (   0 unt;   0 typ;   0 def)
% 0.15/0.43  %            Number of atoms       :    0 (   0 equ;   0 cnn)
% 0.15/0.43  %            Maximal formula atoms :    0 (   0 avg)
% 0.15/0.43  %            Number of connectives :    1 (   0   ~;   1   |;   0   &;   0   @)
% 0.15/0.43  %                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
% 0.15/0.43  %            Maximal formula depth :    4 (   4 avg)
% 0.15/0.43  %            Number of types       :    1 (   0 usr)
% 0.15/0.43  %            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
% 0.15/0.43  %            Number of symbols     :    0 (   0 usr;   0 con; --- aty)
% 0.15/0.43  %            Number of variables   :    2 (   0   ^;   0   !;   2   ?;   2   :)
% 0.15/0.43  % SPC      : TH0_THM_NEQ_NAR
% 0.15/0.43  
% 0.15/0.43  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.15/0.43  %            project in the Department of Mathematical Sciences at Carnegie
% 0.15/0.43  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.15/0.43  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.15/0.43  %------------------------------------------------------------------------------
% 0.15/0.43  thf(cCT15,conjecture,
% 0.15/0.43      ? [Xx: $o,Xy: $o] :
% 0.15/0.43        ( Xx
% 0.15/0.43        | Xy ) ).
% 0.15/0.43  
% 0.15/0.43  %------------------------------------------------------------------------------
% 0.15/0.43  ------------------------
% 1.07/1.11  ---- Embedded in THF ---
% 1.07/1.12  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.07/1.12  %%% Generated on Tue Feb 24 14:25:58 EST 2026
% 1.07/1.12  %%% using '$$dhol' embedding, version 1.3.0.
% 1.07/1.12  %%% Logic specification used:
% 1.07/1.12  %%% thf(spec, logic, $$dhol).
% 1.07/1.12  
% 1.07/1.12  % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.IEhgJ5zxhM/DTF2DTF29291.p
% See solution above
% 1.07/1.12  ------------------------
% 1.07/1.12  ---- Cleaned THF ---
% 1.07/1.12  thf(cCT15,conjecture,
% 1.07/1.12      ? [Xx: $o,Xy: $o] :
% 1.07/1.12        ( Xx
% 1.07/1.12        | Xy ) ).
% 1.07/1.13  ------------------------
% 1.26/1.14  % (29521)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_29291 for (3000ds/4Mi)
% 1.26/1.14  % (29522)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_29291 for (3000ds/27Mi)
% 1.26/1.14  % (29524)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_29291 for (3000ds/2Mi)
% 1.26/1.14  % (29521)First to succeed.
% 1.26/1.14  % (29524)Also succeeded, but the first one will report.
% 1.26/1.14  % (29522)Also succeeded, but the first one will report.
% 1.26/1.14  % (29521)Refutation found. Thanks to Tanya!
% 1.26/1.14  % SZS status Theorem for DTF2THF_29291
% 1.26/1.14  % SZS output start Proof for DTF2THF_29291
% 1.26/1.14  tff(f11,plain,(
% 1.26/1.14    $false),
% 1.26/1.14    inference(equality_resolution,[status(thm)],[f8])).
% 1.26/1.14  tff(f8,plain,(
% 1.26/1.14    ( ! [X0 : $o] : (($true != X0)) )),
% 1.26/1.14    inference(cnf_transformation,[status(thm)],[f7])).
% 1.26/1.14  tff(f7,plain,(
% 1.26/1.14    ! [X0 : $o,X1 : $o] : (($true != X1) & ($true != X0))),
% 1.26/1.14    inference(rectify,[status(thm)],[f6])).
% 1.26/1.14  tff(f6,plain,(
% 1.26/1.14    ! [X1 : $o,X0 : $o] : (($true != X0) & ($true != X1))),
% 1.26/1.14    inference(ennf_transformation,[status(thm)],[f5])).
% 1.26/1.14  tff(f5,plain,(
% 1.26/1.14    ~? [X1 : $o,X0 : $o] : (($true = X0) | ($true = X1))),
% 1.26/1.14    inference(fool_elimination,[status(thm)],[f4])).
% 1.26/1.14  tff(f4,plain,(
% 1.26/1.14    ~? [X0 : $o,X1 : $o] : (X1 | X0)),
% 1.26/1.14    inference(rectify,[status(thm)],[f2])).
% 1.26/1.14  tff(f2,negated_conjecture,(
% 1.26/1.14    ~? [X1 : $o,X0 : $o] : (X0 | X1)),
% 1.26/1.14    inference(negated_conjecture,[status(cth)],[f1])).
% 1.26/1.14  tff(f1,conjecture,(
% 1.26/1.14    ? [X1 : $o,X0 : $o] : (X0 | X1)),
% 1.26/1.14    file('/export/starexec/sandbox2/tmp/tmp.IEhgJ5zxhM/DTF2THF_29291.p',cCT15)).
% 1.26/1.14  % SZS output end Proof for DTF2THF_29291
% 1.26/1.14  % (29521)------------------------------
% 1.26/1.14  % (29521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.26/1.14  % (29521)Termination reason: Refutation
% 1.26/1.14  
% 1.26/1.14  % (29521)Memory used [KB]: 5373
% 1.26/1.14  % (29521)Time elapsed: 0.002 s
% 1.26/1.14  % (29521)------------------------------
% 1.26/1.14  % (29521)------------------------------
% 1.26/1.14  % (29517)Success in time 0.01 s
%------------------------------------------------------------------------------