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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SYO090^5 : 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 : 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 09:53:21 AM UTC 2026

% Result   : Theorem 1.62s 1.32s
% Output   : Refutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   19 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  502 ( 141 equ)
%            Maximal formula atoms :   26 (  26 avg)
%            Number of connectives :  351 ( 150   ~; 100   |;  96   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   8 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :  282 ( 282 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   4 usr;   6 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f48,plain,
    $false,
    inference(subsumption_resolution,[status(thm)],[f41,f47]) ).

tff(f47,plain,
    p = $true,
    inference(trivial_inequality_removal,[status(thm)],[f46]) ).

tff(f46,plain,
    ( ( p = $true )
    | ( $true != $true ) ),
    inference(duplicate_literal_removal,[status(thm)],[f29]) ).

tff(f29,plain,
    ( ( $true != $true )
    | ( p = $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != $true ) ),
    inference(definition_unfolding,[status(thm)],[f17,f10,f11,f23,f23,f11,f10]) ).

tff(f23,plain,
    s = $true,
    inference(cnf_transformation,[status(thm)],[f9]) ).

tff(f9,plain,
    ( ( s = $true )
    & ( ( ( s = $true )
        & ( q = $true )
        & ( ( p != $true )
          | ( s != $true )
          | ( q != $true )
          | ( t != $true ) )
        & ( t = $true ) )
      | ( q != $true )
      | ( t != $true )
      | ( s != $true ) )
    & ( ( ( ( q != $true )
          | ( t != $true )
          | ( ( t = $true )
            & ( p = $true )
            & ( s = $true )
            & ( q = $true ) )
          | ( s != $true ) )
        & ( t = $true )
        & ( q = $true )
        & ( s = $true ) )
      | ( s != $true )
      | ( t != $true )
      | ( q != $true ) )
    & ( t = $true )
    & ( q = $true ) ),
    inference(flattening,[status(thm)],[f8]) ).

tff(f8,plain,
    ( ( s = $true )
    & ( t = $true )
    & ( q = $true )
    & ( ( t != $true )
      | ( s != $true )
      | ( ( s = $true )
        & ( t = $true )
        & ( ( t != $true )
          | ( s != $true )
          | ( q != $true )
          | ( p != $true ) )
        & ( q = $true ) )
      | ( q != $true ) )
    & ( ( ( q = $true )
        & ( ( t != $true )
          | ( s != $true )
          | ( q != $true )
          | ( ( q = $true )
            & ( p = $true )
            & ( t = $true )
            & ( s = $true ) ) )
        & ( t = $true )
        & ( s = $true ) )
      | ( s != $true )
      | ( t != $true )
      | ( q != $true ) ) ),
    inference(ennf_transformation,[status(thm)],[f7]) ).

tff(f7,plain,
    ~ ( ( ~ ( ~ ( ( q = $true )
                & ( ~ ( ( t = $true )
                      & ( s = $true ) )
                  | ~ ( ( q = $true )
                      & ( ~ ( ( q = $true )
                            & ( p = $true ) )
                        | ~ ( ( t = $true )
                            & ( s = $true ) ) ) ) ) )
            | ~ ( ( t = $true )
                & ( s = $true ) ) )
        | ( s != $true )
        | ( t != $true )
        | ( q != $true ) )
     => ( ~ ( ( s = $true )
            & ( t = $true ) )
        | ~ ( ( q = $true )
            & ( ~ ( ( t = $true )
                  & ( s = $true ) )
              | ~ ( ( ~ ( ( s = $true )
                        & ( t = $true ) )
                    | ~ ( ( ~ ( ( t = $true )
                              & ( s = $true ) )
                          | ~ ( ( q = $true )
                              & ( p = $true ) ) )
                        & ( q = $true ) ) )
                  & ( q = $true ) ) ) ) ) ),
    inference(flattening,[status(thm)],[f6]) ).

tff(f6,plain,
    ~ ( ( ( t != $true )
        | ( s != $true )
        | ~ ( ~ ( ( q = $true )
                & ( ~ ( ( t = $true )
                      & ( s = $true ) )
                  | ~ ( ( q = $true )
                      & ( ~ ( ( q = $true )
                            & ( p = $true ) )
                        | ~ ( ( t = $true )
                            & ( s = $true ) ) ) ) ) )
            | ~ ( ( t = $true )
                & ( s = $true ) ) )
        | ( q != $true ) )
     => ( ~ ( ( s = $true )
            & ( t = $true ) )
        | ~ ( ( q = $true )
            & ( ~ ( ( t = $true )
                  & ( s = $true ) )
              | ~ ( ( ~ ( ( s = $true )
                        & ( t = $true ) )
                    | ~ ( ( ~ ( ( t = $true )
                              & ( s = $true ) )
                          | ~ ( ( q = $true )
                              & ( p = $true ) ) )
                        & ( q = $true ) ) )
                  & ( q = $true ) ) ) ) ) ),
    inference(fool_elimination,[status(thm)],[f5]) ).

tff(f5,plain,
    ~ ( ( ~ t
        | ~ s
        | ~ ( ~ ( q
                & ( ~ ( q
                      & ( ~ ( q
                            & p )
                        | ~ ( t
                            & s ) ) )
                  | ~ ( t
                      & s ) ) )
            | ~ ( s
                & t ) )
        | ~ q )
     => ( ~ ( ( ~ ( q
                  & ( ~ ( t
                        & s )
                    | ~ ( ( ~ ( q
                              & p )
                          | ~ ( s
                              & t ) )
                        & q ) ) )
              | ~ ( s
                  & t ) )
            & q )
        | ~ ( s
            & t ) ) ),
    inference(rectify,[status(thm)],[f2]) ).

tff(f2,negated_conjecture,
    ~ ( ( ~ t
        | ~ s
        | ~ ( ~ ( q
                & ( ~ ( q
                      & ( ~ ( q
                            & p )
                        | ~ ( t
                            & s ) ) )
                  | ~ ( t
                      & s ) ) )
            | ~ ( s
                & t ) )
        | ~ q )
     => ( ~ ( ( ~ ( q
                  & ( ~ ( t
                        & s )
                    | ~ ( ( ~ ( q
                              & p )
                          | ~ ( s
                              & t ) )
                        & q ) ) )
              | ~ ( s
                  & t ) )
            & q )
        | ~ ( s
            & t ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

tff(f1,conjecture,
    ( ( ~ t
      | ~ s
      | ~ ( ~ ( q
              & ( ~ ( q
                    & ( ~ ( q
                          & p )
                      | ~ ( t
                          & s ) ) )
                | ~ ( t
                    & s ) ) )
          | ~ ( s
              & t ) )
      | ~ q )
   => ( ~ ( ( ~ ( q
                & ( ~ ( t
                      & s )
                  | ~ ( ( ~ ( q
                            & p )
                        | ~ ( s
                            & t ) )
                      & q ) ) )
            | ~ ( s
                & t ) )
          & q )
      | ~ ( s
          & t ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JpaHDQQKc5/DTF2THF_10974.p',cDMG8) ).

tff(f11,plain,
    t = $true,
    inference(cnf_transformation,[status(thm)],[f9]) ).

tff(f10,plain,
    q = $true,
    inference(cnf_transformation,[status(thm)],[f9]) ).

tff(f17,plain,
    ( ( q != $true )
    | ( t != $true )
    | ( p = $true )
    | ( s != $true )
    | ( s != $true )
    | ( t != $true )
    | ( q != $true ) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

tff(f41,plain,
    p != $true,
    inference(trivial_inequality_removal,[status(thm)],[f40]) ).

tff(f40,plain,
    ( ( p != $true )
    | ( $true != $true ) ),
    inference(duplicate_literal_removal,[status(thm)],[f26]) ).

tff(f26,plain,
    ( ( p != $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != $true )
    | ( $true != $true ) ),
    inference(definition_unfolding,[status(thm)],[f20,f23,f10,f11,f10,f11,f23]) ).

tff(f20,plain,
    ( ( p != $true )
    | ( s != $true )
    | ( q != $true )
    | ( t != $true )
    | ( q != $true )
    | ( t != $true )
    | ( s != $true ) ),
    inference(cnf_transformation,[status(thm)],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYO090^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.12  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.33  % Computer : n006.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Tue Feb 24 14:24:00 EST 2026
% 0.14/0.33  % CPUTime  : 
% 0.14/0.33  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.28/0.45  ---- Original DTF file ---
% 0.28/0.45  thf(spec,logic,$$dhol).
% 0.28/0.45  %------------------------------------------------------------------------------
% 0.28/0.45  % File     : SYO090^5 : TPTP v9.2.1. Released v4.0.0.
% 0.28/0.45  % Domain   : Syntactic
% 0.28/0.45  % Problem  : TPS problem DMG8
% 0.28/0.45  % Version  : Especial.
% 0.28/0.45  % English  : A propositional problem suggested by Jay Hunschel Kim.
% 0.28/0.45  
% 0.28/0.45  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.28/0.45  % Source   : [Bro09]
% 0.28/0.45  % Names    : tps_0164 [Bro09]
% 0.28/0.45  %          : DMG8 [TPS]
% 0.28/0.45  
% 0.28/0.45  % Status   : Theorem
% 0.28/0.45  % Rating   : 0.08 v9.1.0, 0.00 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.28/0.45  % Syntax   : Number of formulae    :    5 (   0 unt;   4 typ;   0 def)
% 0.28/0.45  %            Number of atoms       :   26 (   0 equ;   0 cnn)
% 0.28/0.45  %            Maximal formula atoms :   26 (  26 avg)
% 0.28/0.45  %            Number of connectives :   43 (  18   ~;  10   |;  14   &;   0   @)
% 0.28/0.45  %                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
% 0.28/0.45  %            Maximal formula depth :   14 (  14 avg)
% 0.28/0.45  %            Number of types       :    1 (   0 usr)
% 0.28/0.45  %            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
% 0.28/0.45  %            Number of symbols     :    4 (   4 usr;   4 con; 0-0 aty)
% 0.28/0.45  %            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)
% 0.28/0.45  % SPC      : TH0_THM_NEQ_NAR
% 0.28/0.45  
% 0.28/0.45  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.28/0.45  %            project in the Department of Mathematical Sciences at Carnegie
% 0.28/0.45  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.28/0.45  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.28/0.45  %------------------------------------------------------------------------------
% 0.28/0.45  thf(t,type,
% 0.28/0.45      t: $o ).
% 0.28/0.45  
% 0.28/0.45  thf(s,type,
% 0.28/0.45      s: $o ).
% 0.28/0.45  
% 0.28/0.45  thf(q,type,
% 0.28/0.45      q: $o ).
% 0.28/0.45  
% 0.28/0.45  thf(p,type,
% 0.28/0.45      p: $o ).
% 0.28/0.45  
% 0.28/0.45  thf(cDMG8,conjecture,
% 0.28/0.45      ( ( ~ ( ~ ( ( ~ ( ( ~ ( p
% 0.28/0.45                            & q )
% 0.28/0.45                        | ~ ( s
% 0.28/0.45                            & t ) )
% 0.28/0.45                      & q )
% 0.28/0.45                  | ~ ( s
% 0.28/0.45                      & t ) )
% 0.28/0.45                & q )
% 0.28/0.45            | ~ ( s
% 0.28/0.45                & t ) )
% 0.28/0.45        | ~ q
% 0.28/0.45        | ~ s
% 0.28/0.45        | ~ t )
% 0.28/0.45     => ( ~ ( ( ~ ( ( ~ ( ( ~ ( p
% 0.28/0.45                              & q )
% 0.28/0.45                          | ~ ( s
% 0.28/0.45                              & t ) )
% 0.28/0.45                        & q )
% 0.28/0.45                    | ~ ( s
% 0.28/0.45                        & t ) )
% 0.28/0.45                  & q )
% 0.28/0.45              | ~ ( s
% 0.28/0.45                  & t ) )
% 0.28/0.45            & q )
% 0.28/0.45        | ~ ( s
% 0.28/0.45            & t ) ) ) ).
% 0.28/0.45  
% 0.28/0.45  %------------------------------------------------------------------------------
% 0.28/0.45  ------------------------
% 1.44/1.29  ---- Embedded in THF ---
% 1.44/1.29  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.44/1.29  %%% Generated on Tue Feb 24 14:24:01 EST 2026
% 1.44/1.29  %%% using '$$dhol' embedding, version 1.3.0.
% 1.44/1.29  %%% Logic specification used:
% 1.44/1.29  %%% thf(spec, logic, $$dhol).
% 1.44/1.29  
% 1.44/1.29  % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.JpaHDQQKc5/DTF2DTF10974.p
% See solution above
% 1.44/1.29  ------------------------
% 1.62/1.30  ---- Cleaned THF ---
% 1.62/1.30  thf(t,type,
% 1.62/1.30      t: $o ).
% 1.62/1.30  
% 1.62/1.30  thf(s,type,
% 1.62/1.30      s: $o ).
% 1.62/1.30  
% 1.62/1.30  thf(q,type,
% 1.62/1.30      q: $o ).
% 1.62/1.30  
% 1.62/1.30  thf(p,type,
% 1.62/1.30      p: $o ).
% 1.62/1.30  
% 1.62/1.30  thf(cDMG8,conjecture,
% 1.62/1.30      ( ( ~ ( ~ ( ( ~ ( ( ~ ( p
% 1.62/1.30                            & q )
% 1.62/1.30                        | ~ ( s
% 1.62/1.30                            & t ) )
% 1.62/1.30                      & q )
% 1.62/1.30                  | ~ ( s
% 1.62/1.30                      & t ) )
% 1.62/1.30                & q )
% 1.62/1.30            | ~ ( s
% 1.62/1.30                & t ) )
% 1.62/1.30        | ~ q
% 1.62/1.30        | ~ s
% 1.62/1.30        | ~ t )
% 1.62/1.30     => ( ~ ( ( ~ ( ( ~ ( ( ~ ( p
% 1.62/1.30                              & q )
% 1.62/1.30                          | ~ ( s
% 1.62/1.30                              & t ) )
% 1.62/1.30                        & q )
% 1.62/1.30                    | ~ ( s
% 1.62/1.30                        & t ) )
% 1.62/1.30                  & q )
% 1.62/1.30              | ~ ( s
% 1.62/1.30                  & t ) )
% 1.62/1.30            & q )
% 1.62/1.30        | ~ ( s
% 1.62/1.30            & t ) ) ) ).
% 1.62/1.30  ------------------------
% 1.62/1.32  % (11091)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_10974 for (2999ds/2Mi)
% 1.62/1.32  % (11091)First to succeed.
% 1.62/1.32  % (11091)Refutation found. Thanks to Tanya!
% 1.62/1.32  % SZS status Theorem for DTF2THF_10974
% 1.62/1.32  % SZS output start Proof for DTF2THF_10974
% 1.62/1.32  tff(f48,plain,(
% 1.62/1.32    $false),
% 1.62/1.32    inference(subsumption_resolution,[status(thm)],[f41,f47])).
% 1.62/1.32  tff(f47,plain,(
% 1.62/1.32    (p = $true)),
% 1.62/1.32    inference(trivial_inequality_removal,[status(thm)],[f46])).
% 1.62/1.32  tff(f46,plain,(
% 1.62/1.32    (p = $true) | ($true != $true)),
% 1.62/1.32    inference(duplicate_literal_removal,[status(thm)],[f29])).
% 1.62/1.32  tff(f29,plain,(
% 1.62/1.32    ($true != $true) | (p = $true) | ($true != $true) | ($true != $true) | ($true != $true) | ($true != $true) | ($true != $true)),
% 1.62/1.32    inference(definition_unfolding,[status(thm)],[f17,f10,f11,f23,f23,f11,f10])).
% 1.62/1.32  tff(f23,plain,(
% 1.62/1.32    (s = $true)),
% 1.62/1.32    inference(cnf_transformation,[status(thm)],[f9])).
% 1.62/1.32  tff(f9,plain,(
% 1.62/1.32    (s = $true) & (((s = $true) & (q = $true) & ((p != $true) | (s != $true) | (q != $true) | (t != $true)) & (t = $true)) | (q != $true) | (t != $true) | (s != $true)) & ((((q != $true) | (t != $true) | ((t = $true) & (p = $true) & (s = $true) & (q = $true)) | (s != $true)) & (t = $true) & (q = $true) & (s = $true)) | (s != $true) | (t != $true) | (q != $true)) & (t = $true) & (q = $true)),
% 1.62/1.32    inference(flattening,[status(thm)],[f8])).
% 1.62/1.32  tff(f8,plain,(
% 1.62/1.32    (((s = $true) & (t = $true)) & ((q = $true) & (((t != $true) | (s != $true)) | ((((s = $true) & (t = $true)) & ((((t != $true) | (s != $true)) | ((q != $true) | (p != $true))) & (q = $true))) | (q != $true))))) & ((((q = $true) & (((t != $true) | (s != $true)) | ((q != $true) | (((q = $true) & (p = $true)) & ((t = $true) & (s = $true)))))) & ((t = $true) & (s = $true))) | (s != $true) | (t != $true) | (q != $true))),
% 1.62/1.32    inference(ennf_transformation,[status(thm)],[f7])).
% 1.62/1.32  tff(f7,plain,(
% 1.62/1.32    ~((~(~((q = $true) & (~((t = $true) & (s = $true)) | ~((q = $true) & (~((q = $true) & (p = $true)) | ~((t = $true) & (s = $true)))))) | ~((t = $true) & (s = $true))) | (s != $true) | (t != $true) | (q != $true)) => (~((s = $true) & (t = $true)) | ~((q = $true) & (~((t = $true) & (s = $true)) | ~((~((s = $true) & (t = $true)) | ~((~((t = $true) & (s = $true)) | ~((q = $true) & (p = $true))) & (q = $true))) & (q = $true))))))),
% 1.62/1.32    inference(flattening,[status(thm)],[f6])).
% 1.62/1.32  tff(f6,plain,(
% 1.62/1.32    ~((~(t = $true) | ~(s = $true) | ~(~((q = $true) & (~((t = $true) & (s = $true)) | ~((q = $true) & (~((q = $true) & (p = $true)) | ~((t = $true) & (s = $true)))))) | ~((t = $true) & (s = $true))) | ~(q = $true)) => (~((s = $true) & (t = $true)) | ~((q = $true) & (~((t = $true) & (s = $true)) | ~((~((s = $true) & (t = $true)) | ~((~((t = $true) & (s = $true)) | ~((q = $true) & (p = $true))) & (q = $true))) & (q = $true))))))),
% 1.62/1.32    inference(fool_elimination,[status(thm)],[f5])).
% 1.62/1.32  tff(f5,plain,(
% 1.62/1.32    ~((~t | ~s | ~(~(q & (~(q & (~(q & p) | ~(t & s))) | ~(t & s))) | ~(s & t)) | ~q) => (~((~(q & (~(t & s) | ~((~(q & p) | ~(s & t)) & q))) | ~(s & t)) & q) | ~(s & t)))),
% 1.62/1.32    inference(rectify,[status(thm)],[f2])).
% 1.62/1.32  tff(f2,negated_conjecture,(
% 1.62/1.32    ~((~t | ~s | ~(~(q & (~(q & (~(q & p) | ~(t & s))) | ~(t & s))) | ~(s & t)) | ~q) => (~((~(q & (~(t & s) | ~((~(q & p) | ~(s & t)) & q))) | ~(s & t)) & q) | ~(s & t)))),
% 1.62/1.32    inference(negated_conjecture,[status(cth)],[f1])).
% 1.62/1.32  tff(f1,conjecture,(
% 1.62/1.32    (~t | ~s | ~(~(q & (~(q & (~(q & p) | ~(t & s))) | ~(t & s))) | ~(s & t)) | ~q) => (~((~(q & (~(t & s) | ~((~(q & p) | ~(s & t)) & q))) | ~(s & t)) & q) | ~(s & t))),
% 1.62/1.32    file('/export/starexec/sandbox2/tmp/tmp.JpaHDQQKc5/DTF2THF_10974.p',cDMG8)).
% 1.62/1.32  tff(f11,plain,(
% 1.62/1.32    (t = $true)),
% 1.62/1.32    inference(cnf_transformation,[status(thm)],[f9])).
% 1.62/1.32  tff(f10,plain,(
% 1.62/1.32    (q = $true)),
% 1.62/1.32    inference(cnf_transformation,[status(thm)],[f9])).
% 1.62/1.32  tff(f17,plain,(
% 1.62/1.32    (q != $true) | (t != $true) | (p = $true) | (s != $true) | (s != $true) | (t != $true) | (q != $true)),
% 1.62/1.32    inference(cnf_transformation,[status(thm)],[f9])).
% 1.62/1.32  tff(f41,plain,(
% 1.62/1.32    (p != $true)),
% 1.62/1.32    inference(trivial_inequality_removal,[status(thm)],[f40])).
% 1.62/1.32  tff(f40,plain,(
% 1.62/1.32    (p != $true) | ($true != $true)),
% 1.62/1.32    inference(duplicate_literal_removal,[status(thm)],[f26])).
% 1.62/1.32  tff(f26,plain,(
% 1.62/1.32    (p != $true) | ($true != $true) | ($true != $true) | ($true != $true) | ($true != $true) | ($true != $true) | ($true != $true)),
% 1.62/1.32    inference(definition_unfolding,[status(thm)],[f20,f23,f10,f11,f10,f11,f23])).
% 1.62/1.32  tff(f20,plain,(
% 1.62/1.32    (p != $true) | (s != $true) | (q != $true) | (t != $true) | (q != $true) | (t != $true) | (s != $true)),
% 1.62/1.32    inference(cnf_transformation,[status(thm)],[f9])).
% 1.62/1.32  % SZS output end Proof for DTF2THF_10974
% 1.62/1.32  % (11091)------------------------------
% 1.62/1.32  % (11091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.32  % (11091)Termination reason: Refutation
% 1.62/1.32  
% 1.62/1.32  % (11091)Memory used [KB]: 5500
% 1.62/1.32  % (11091)Time elapsed: 0.002 s
% 1.62/1.32  % (11091)------------------------------
% 1.62/1.32  % (11091)------------------------------
% 1.62/1.32  % (11087)Success in time 0.005 s
%------------------------------------------------------------------------------