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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SYO143^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n015.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 09:53:29 AM UTC 2026

% Result   : Theorem 1.55s 1.34s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (   3 unt;   0 typ;   3 def)
%            Number of atoms       :  136 (  33 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :  117 (  28   ~;  18   |;   8   &;  50   @)
%                                         (   3 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   36 (   0   ^;  18   !;  18   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    cQ: $i > $o ).

thf(func_def_1,type,
    cP: $i > $o ).

thf(func_def_5,type,
    sK0: $i > $i ).

thf(f30,plain,
    $false,
    inference(avatar_sat_refutation,[status(thm)],[f21,f25,f27,f29]) ).

thf(f29,plain,
    ~ spl2_1,
    inference(avatar_contradiction_clause,[status(thm)],[f28]) ).

thf(f28,plain,
    ( $false
    | ~ spl2_1 ),
    inference(subsumption_resolution,[status(thm)],[f17,f13]) ).

thf(f13,plain,
    ! [X0: $i] :
      ( ( cQ @ X0 )
     != $true ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

thf(f10,plain,
    ( ! [X0: $i] :
        ( ( cQ @ X0 )
       != $true )
    & ( ! [X1: $i] :
          ( ( ( cP @ X1 )
            = $true )
          & ( ( cP @ ( sK0 @ X1 ) )
           != $true ) )
      | ( ( cQ @ sK1 )
        = $true ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8]) ).

thf(f8,plain,
    ! [X1: $i] :
      ( ? [X2: $i] :
          ( ( ( cP @ X1 )
            = $true )
          & ( ( cP @ X2 )
           != $true ) )
     => ( ( ( cP @ X1 )
          = $true )
        & ( ( cP @ ( sK0 @ X1 ) )
         != $true ) ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f9,plain,
    ( ? [X3: $i] :
        ( $true
        = ( cQ @ X3 ) )
   => ( ( cQ @ sK1 )
      = $true ) ),
    introduced(definition,[],[choice_axiom]) ).

thf(f7,plain,
    ( ! [X0: $i] :
        ( ( cQ @ X0 )
       != $true )
    & ( ! [X1: $i] :
        ? [X2: $i] :
          ( ( ( cP @ X1 )
            = $true )
          & ( ( cP @ X2 )
           != $true ) )
      | ? [X3: $i] :
          ( $true
          = ( cQ @ X3 ) ) ) ),
    inference(rectify,[status(thm)],[f6]) ).

thf(f6,plain,
    ( ! [X3: $i] :
        ( $true
       != ( cQ @ X3 ) )
    & ( ! [X1: $i] :
        ? [X2: $i] :
          ( ( ( cP @ X1 )
            = $true )
          & ( ( cP @ X2 )
           != $true ) )
      | ? [X0: $i] :
          ( ( cQ @ X0 )
          = $true ) ) ),
    inference(ennf_transformation,[status(thm)],[f5]) ).

thf(f5,plain,
    ~ ( ( ~ ? [X1: $i] :
            ! [X2: $i] :
              ( ( ( cP @ X1 )
                = $true )
             => ( ( cP @ X2 )
                = $true ) )
        | ? [X0: $i] :
            ( ( cQ @ X0 )
            = $true ) )
     => ? [X3: $i] :
          ( $true
          = ( cQ @ X3 ) ) ),
    inference(fool_elimination,[status(thm)],[f4]) ).

thf(f4,plain,
    ~ ( ( ? [X0: $i] : ( cQ @ X0 )
        | ~ ? [X1: $i] :
            ! [X2: $i] :
              ( ( cP @ X1 )
             => ( cP @ X2 ) ) )
     => ? [X3: $i] : ( cQ @ X3 ) ),
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ? [X2: $i] : ( cQ @ X2 )
        | ~ ? [X0: $i] :
            ! [X1: $i] :
              ( ( cP @ X0 )
             => ( cP @ X1 ) ) )
     => ? [X2: $i] : ( cQ @ X2 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f1,conjecture,
    ( ( ? [X2: $i] : ( cQ @ X2 )
      | ~ ? [X0: $i] :
          ! [X1: $i] :
            ( ( cP @ X0 )
           => ( cP @ X1 ) ) )
   => ? [X2: $i] : ( cQ @ X2 ) ),
    file('/export/starexec/sandbox/tmp/tmp.l1hMlIjERv/DTF2THF_26934.p',cDUP_BUG_1) ).

thf(f17,plain,
    ( ( ( cQ @ sK1 )
      = $true )
    | ~ spl2_1 ),
    inference(avatar_component_clause,[status(thm)],[f15]) ).

thf(f15,definition,
    ( spl2_1
  <=> ( ( cQ @ sK1 )
      = $true ) ),
    introduced(definition,[new_symbols(naming,[spl2_1])],[avatar_definition]) ).

thf(f27,plain,
    ( ~ spl2_2
    | ~ spl2_3 ),
    inference(avatar_contradiction_clause,[status(thm)],[f26]) ).

thf(f26,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(subsumption_resolution,[status(thm)],[f24,f20]) ).

thf(f20,plain,
    ( ! [X1: $i] :
        ( ( cP @ X1 )
        = $true )
    | ~ spl2_2 ),
    inference(avatar_component_clause,[status(thm)],[f19]) ).

thf(f19,definition,
    ( spl2_2
  <=> ! [X1: $i] :
        ( ( cP @ X1 )
        = $true ) ),
    introduced(definition,[new_symbols(naming,[spl2_2])],[avatar_definition]) ).

thf(f24,plain,
    ( ! [X1: $i] :
        ( ( cP @ ( sK0 @ X1 ) )
       != $true )
    | ~ spl2_3 ),
    inference(avatar_component_clause,[status(thm)],[f23]) ).

thf(f23,definition,
    ( spl2_3
  <=> ! [X1: $i] :
        ( ( cP @ ( sK0 @ X1 ) )
       != $true ) ),
    introduced(definition,[new_symbols(naming,[spl2_3])],[avatar_definition]) ).

thf(f25,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_split_clause,[status(thm)],[f11,f23,f15]) ).

thf(f11,plain,
    ! [X1: $i] :
      ( ( ( cQ @ sK1 )
        = $true )
      | ( ( cP @ ( sK0 @ X1 ) )
       != $true ) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

thf(f21,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[status(thm)],[f12,f19,f15]) ).

thf(f12,plain,
    ! [X1: $i] :
      ( ( ( cQ @ sK1 )
        = $true )
      | ( ( cP @ X1 )
        = $true ) ),
    inference(cnf_transformation,[status(thm)],[f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYO143^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.10  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.30  % Computer : n015.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 14:27:16 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
% 0.17/0.39  ---- Original DTF file ---
% 0.17/0.39  thf(spec,logic,$$dhol).
% 0.17/0.39  %------------------------------------------------------------------------------
% 0.17/0.39  % File     : SYO143^5 : TPTP v9.2.1. Released v4.0.0.
% 0.17/0.39  % Domain   : Syntactic
% 0.17/0.39  % Problem  : TPS problem from BASIC-FO-THMS
% 0.17/0.39  % Version  : Especial.
% 0.17/0.39  % English  :
% 0.17/0.39  
% 0.17/0.39  % Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.17/0.39  % Source   : [Bro09]
% 0.17/0.39  % Names    : tps_0776 [Bro09]
% 0.17/0.39  
% 0.17/0.39  % Status   : Theorem
% 0.17/0.39  % Rating   : 0.17 v9.1.0, 0.12 v9.0.0, 0.17 v8.2.0, 0.18 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
% 0.17/0.39  % Syntax   : Number of formulae    :    3 (   0 unt;   2 typ;   0 def)
% 0.17/0.39  %            Number of atoms       :    4 (   0 equ;   0 cnn)
% 0.17/0.39  %            Maximal formula atoms :    4 (   4 avg)
% 0.17/0.39  %            Number of connectives :    8 (   1   ~;   1   |;   0   &;   4   @)
% 0.17/0.39  %                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
% 0.17/0.39  %            Maximal formula depth :    8 (   8 avg)
% 0.17/0.39  %            Number of types       :    2 (   0 usr)
% 0.17/0.39  %            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
% 0.17/0.39  %            Number of symbols     :    2 (   2 usr;   0 con; 1-1 aty)
% 0.17/0.39  %            Number of variables   :    4 (   0   ^;   1   !;   3   ?;   4   :)
% 0.17/0.39  % SPC      : TH0_THM_NEQ_NAR
% 0.17/0.39  
% 0.17/0.39  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.17/0.39  %            project in the Department of Mathematical Sciences at Carnegie
% 0.17/0.39  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.17/0.39  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.17/0.39  %------------------------------------------------------------------------------
% 0.17/0.39  thf(cQ,type,
% 0.17/0.39      cQ: $i > $o ).
% 0.17/0.39  
% 0.17/0.39  thf(cP,type,
% 0.17/0.39      cP: $i > $o ).
% 0.17/0.39  
% 0.17/0.39  thf(cDUP_BUG_1,conjecture,
% 0.17/0.39      ( ( ~ ? [Xy: $i] :
% 0.17/0.39            ! [Xx: $i] :
% 0.17/0.39              ( ( cP @ Xy )
% 0.17/0.39             => ( cP @ Xx ) )
% 0.17/0.39        | ? [Xz: $i] : ( cQ @ Xz ) )
% 0.17/0.39     => ? [Xz: $i] : ( cQ @ Xz ) ) ).
% 0.17/0.39  
% 0.17/0.39  %------------------------------------------------------------------------------
% 0.17/0.39  ------------------------
% 1.55/1.31  ---- Embedded in THF ---
% 1.55/1.31  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.55/1.31  %%% Generated on Tue Feb 24 14:27:17 EST 2026
% 1.55/1.31  %%% using '$$dhol' embedding, version 1.3.0.
% 1.55/1.31  %%% Logic specification used:
% 1.55/1.31  %%% thf(spec, logic, $$dhol).
% 1.55/1.31  
% 1.55/1.31  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.l1hMlIjERv/DTF2DTF26934.p
% See solution above
% 1.55/1.31  ------------------------
% 1.55/1.32  ---- Cleaned THF ---
% 1.55/1.32  thf(cQ,type,
% 1.55/1.32      cQ: $i > $o ).
% 1.55/1.32  
% 1.55/1.32  thf(cP,type,
% 1.55/1.32      cP: $i > $o ).
% 1.55/1.32  
% 1.55/1.32  thf(cDUP_BUG_1,conjecture,
% 1.55/1.32      ( ( ~ ? [Xy: $i] :
% 1.55/1.32            ! [Xx: $i] :
% 1.55/1.32              ( ( cP @ Xy )
% 1.55/1.32             => ( cP @ Xx ) )
% 1.55/1.32        | ? [Xz: $i] : ( cQ @ Xz ) )
% 1.55/1.32     => ? [Xz: $i] : ( cQ @ Xz ) ) ).
% 1.55/1.32  ------------------------
% 1.55/1.34  % (27032)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_26934 for (3000ds/4Mi)
% 1.55/1.34  % (27033)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_26934 for (3000ds/27Mi)
% 1.55/1.34  % (27037)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_26934 for (3000ds/18Mi)
% 1.55/1.34  % (27036)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_26934 for (3000ds/275Mi)
% 1.55/1.34  % (27031)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_26934 for (3000ds/183Mi)
% 1.55/1.34  % (27035)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_26934 for (3000ds/2Mi)
% 1.55/1.34  % (27034)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_26934 for (3000ds/2Mi)
% 1.55/1.34  % (27035)Instruction limit reached!
% 1.55/1.34  % (27035)------------------------------
% 1.55/1.34  % (27035)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.34  % (27035)Termination reason: Unknown
% 1.55/1.34  % (27035)Termination phase: Saturation
% 1.55/1.34  
% 1.55/1.34  % (27035)Memory used [KB]: 5500
% 1.55/1.34  % (27035)Time elapsed: 0.003 s
% 1.55/1.34  % (27035)Instructions burned: 2 (million)
% 1.55/1.34  % (27035)------------------------------
% 1.55/1.34  % (27035)------------------------------
% 1.55/1.34  % (27036)First to succeed.
% 1.55/1.34  % (27037)Also succeeded, but the first one will report.
% 1.55/1.34  % (27031)Also succeeded, but the first one will report.
% 1.55/1.34  % (27036)Refutation found. Thanks to Tanya!
% 1.55/1.34  % SZS status Theorem for DTF2THF_26934
% 1.55/1.34  % SZS output start Proof for DTF2THF_26934
% 1.55/1.34  thf(func_def_0, type, cQ: $i > $o).
% 1.55/1.34  thf(func_def_1, type, cP: $i > $o).
% 1.55/1.34  thf(func_def_5, type, sK0: $i > $i).
% 1.55/1.34  thf(f30,plain,(
% 1.55/1.34    $false),
% 1.55/1.34    inference(avatar_sat_refutation,[status(thm)],[f21,f25,f27,f29])).
% 1.55/1.34  thf(f29,plain,(
% 1.55/1.34    ~spl2_1),
% 1.55/1.34    inference(avatar_contradiction_clause,[status(thm)],[f28])).
% 1.55/1.34  thf(f28,plain,(
% 1.55/1.34    $false | ~spl2_1),
% 1.55/1.34    inference(subsumption_resolution,[status(thm)],[f17,f13])).
% 1.55/1.34  thf(f13,plain,(
% 1.55/1.34    ( ! [X0 : $i] : (((cQ @ X0) != $true)) )),
% 1.55/1.34    inference(cnf_transformation,[status(thm)],[f10])).
% 1.55/1.34  thf(f10,plain,(
% 1.55/1.34    ! [X0 : $i] : ((cQ @ X0) != $true) & (! [X1 : $i] : (((cP @ X1) = $true) & ((cP @ (sK0 @ X1)) != $true)) | ((cQ @ sK1) = $true))),
% 1.55/1.34    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f7,f9,f8])).
% 1.55/1.34  thf(f8,plain,(
% 1.55/1.34    ! [X1 : $i] : (? [X2 : $i] : (((cP @ X1) = $true) & ((cP @ X2) != $true)) => (((cP @ X1) = $true) & ((cP @ (sK0 @ X1)) != $true)))),
% 1.55/1.34    introduced(definition,[],[choice_axiom])).
% 1.55/1.34  thf(f9,plain,(
% 1.55/1.34    ? [X3 : $i] : ($true = (cQ @ X3)) => ((cQ @ sK1) = $true)),
% 1.55/1.34    introduced(definition,[],[choice_axiom])).
% 1.55/1.34  thf(f7,plain,(
% 1.55/1.34    ! [X0 : $i] : ((cQ @ X0) != $true) & (! [X1 : $i] : ? [X2 : $i] : (((cP @ X1) = $true) & ((cP @ X2) != $true)) | ? [X3 : $i] : ($true = (cQ @ X3)))),
% 1.55/1.34    inference(rectify,[status(thm)],[f6])).
% 1.55/1.34  thf(f6,plain,(
% 1.55/1.34    ! [X3 : $i] : ($true != (cQ @ X3)) & (! [X1 : $i] : ? [X2 : $i] : (((cP @ X1) = $true) & ((cP @ X2) != $true)) | ? [X0 : $i] : ((cQ @ X0) = $true))),
% 1.55/1.34    inference(ennf_transformation,[status(thm)],[f5])).
% 1.55/1.34  thf(f5,plain,(
% 1.55/1.34    ~((~? [X1 : $i] : ! [X2 : $i] : (((cP @ X1) = $true) => ((cP @ X2) = $true)) | ? [X0 : $i] : ((cQ @ X0) = $true)) => ? [X3 : $i] : ($true = (cQ @ X3)))),
% 1.55/1.34    inference(fool_elimination,[status(thm)],[f4])).
% 1.55/1.34  thf(f4,plain,(
% 1.55/1.34    ~((? [X0 : $i] : (cQ @ X0) | ~? [X1 : $i] : ! [X2 : $i] : ((cP @ X1) => (cP @ X2))) => ? [X3 : $i] : (cQ @ X3))),
% 1.55/1.34    inference(rectify,[status(thm)],[f2])).
% 1.55/1.34  thf(f2,negated_conjecture,(
% 1.55/1.34    ~((? [X2 : $i] : (cQ @ X2) | ~? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ X1))) => ? [X2 : $i] : (cQ @ X2))),
% 1.55/1.34    inference(negated_conjecture,[status(cth)],[f1])).
% 1.55/1.34  thf(f1,conjecture,(
% 1.55/1.34    (? [X2 : $i] : (cQ @ X2) | ~? [X0 : $i] : ! [X1 : $i] : ((cP @ X0) => (cP @ X1))) => ? [X2 : $i] : (cQ @ X2)),
% 1.55/1.34    file('/export/starexec/sandbox/tmp/tmp.l1hMlIjERv/DTF2THF_26934.p',cDUP_BUG_1)).
% 1.55/1.34  thf(f17,plain,(
% 1.55/1.34    ((cQ @ sK1) = $true) | ~spl2_1),
% 1.55/1.34    inference(avatar_component_clause,[status(thm)],[f15])).
% 1.55/1.34  thf(f15,definition,(
% 1.55/1.34    spl2_1 <=> ((cQ @ sK1) = $true)),
% 1.55/1.34    introduced(definition,[new_symbols(naming,[spl2_1])],[avatar_definition])).
% 1.55/1.34  thf(f27,plain,(
% 1.55/1.34    ~spl2_2 | ~spl2_3),
% 1.55/1.34    inference(avatar_contradiction_clause,[status(thm)],[f26])).
% 1.55/1.34  thf(f26,plain,(
% 1.55/1.34    $false | (~spl2_2 | ~spl2_3)),
% 1.55/1.34    inference(subsumption_resolution,[status(thm)],[f24,f20])).
% 1.55/1.34  thf(f20,plain,(
% 1.55/1.34    ( ! [X1 : $i] : (((cP @ X1) = $true)) ) | ~spl2_2),
% 1.55/1.34    inference(avatar_component_clause,[status(thm)],[f19])).
% 1.55/1.34  thf(f19,definition,(
% 1.55/1.34    spl2_2 <=> ! [X1 : $i] : ((cP @ X1) = $true)),
% 1.55/1.34    introduced(definition,[new_symbols(naming,[spl2_2])],[avatar_definition])).
% 1.55/1.34  thf(f24,plain,(
% 1.55/1.34    ( ! [X1 : $i] : (((cP @ (sK0 @ X1)) != $true)) ) | ~spl2_3),
% 1.55/1.34    inference(avatar_component_clause,[status(thm)],[f23])).
% 1.55/1.34  thf(f23,definition,(
% 1.55/1.34    spl2_3 <=> ! [X1 : $i] : ((cP @ (sK0 @ X1)) != $true)),
% 1.55/1.34    introduced(definition,[new_symbols(naming,[spl2_3])],[avatar_definition])).
% 1.55/1.34  thf(f25,plain,(
% 1.55/1.34    spl2_1 | spl2_3),
% 1.55/1.34    inference(avatar_split_clause,[status(thm)],[f11,f23,f15])).
% 1.55/1.34  thf(f11,plain,(
% 1.55/1.34    ( ! [X1 : $i] : (((cQ @ sK1) = $true) | ((cP @ (sK0 @ X1)) != $true)) )),
% 1.55/1.34    inference(cnf_transformation,[status(thm)],[f10])).
% 1.55/1.34  thf(f21,plain,(
% 1.55/1.34    spl2_1 | spl2_2),
% 1.55/1.34    inference(avatar_split_clause,[status(thm)],[f12,f19,f15])).
% 1.55/1.34  thf(f12,plain,(
% 1.55/1.34    ( ! [X1 : $i] : (((cQ @ sK1) = $true) | ((cP @ X1) = $true)) )),
% 1.55/1.34    inference(cnf_transformation,[status(thm)],[f10])).
% 1.55/1.34  % SZS output end Proof for DTF2THF_26934
% 1.55/1.34  % (27036)------------------------------
% 1.55/1.34  % (27036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.55/1.34  % (27036)Termination reason: Refutation
% 1.55/1.34  
% 1.55/1.34  % (27036)Memory used [KB]: 5500
% 1.55/1.34  % (27036)Time elapsed: 0.003 s
% 1.55/1.34  % (27036)Instructions burned: 2 (million)
% 1.55/1.34  % (27036)------------------------------
% 1.55/1.34  % (27036)------------------------------
% 1.55/1.34  % (27030)Success in time 0.018 s
%------------------------------------------------------------------------------