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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : SYN984^1 : TPTP v9.2.1. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/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 09:51:39 AM UTC 2026

% Result   : Theorem 1.65s 1.45s
% Output   : Refutation 1.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   21 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :  129 (  27 equ;   0 cnn)
%            Maximal formula atoms :    7 (   6 avg)
%            Number of connectives :   70 (  16   ~;   4   |;  23   &;  23   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   5 con; 0-2 aty)
%            Number of variables   :   35 (  35   ^;   0   !;   0   ?;  35   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_2,type,
    p: ( $i > $o ) > $o ).

thf(func_def_9,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f29,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[f28]) ).

thf(f28,plain,
    ( ( ^ [Y0: $i] : b )
   != ( ^ [Y0: $i] : b ) ),
    inference(boolean_simplification,[status(thm)],[f25]) ).

thf(f25,plain,
    ( ( ^ [Y0: $i] : b )
   != ( ^ [Y0: $i] :
          ( b
          & $true ) ) ),
    inference(backward_demodulation,[status(thm)],[f14,f23]) ).

thf(f23,plain,
    a = $true,
    inference(duplicate_literal_removal,[status(thm)],[f21]) ).

thf(f21,plain,
    ( ( a = $true )
    | ( a = $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f17]) ).

thf(f17,plain,
    ( ( a = $true )
    | ( $true
      = ( b
        & a ) ) ),
    inference(binary_proxy_clausification,[status(thm)],[f16]) ).

thf(f16,plain,
    ( a
   != ( b
      & a ) ),
    inference(beta_eta_normalization,[status(thm)],[f15]) ).

thf(f15,plain,
    ( ( ^ [Y0: $i] : a
      @ sK2 )
   != ( ^ [Y0: $i] :
          ( b
          & a )
      @ sK2 ) ),
    inference(negative_extensionality,[status(thm)],[f13]) ).

thf(f13,plain,
    ( ( ^ [Y0: $i] :
          ( b
          & a ) )
   != ( ^ [Y0: $i] : a ) ),
    inference(trivial_inequality_removal,[status(thm)],[f11]) ).

thf(f11,plain,
    ( ( ( ^ [Y0: $i] :
            ( b
            & a ) )
     != ( ^ [Y0: $i] : a ) )
    | ( $true != $true ) ),
    inference(constrained_superposition,[status(thm)],[f10,f9]) ).

thf(f9,plain,
    ( $true
    = ( p
      @ ^ [Y0: $i] : a ) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

thf(f7,plain,
    ( ( $true
     != ( p
        @ ^ [Y0: $i] :
            ( b
            & a ) ) )
    & ( $true
      = ( p
        @ ^ [Y0: $i] : a ) )
    & ( $true
      = ( p
        @ ^ [Y0: $i] : b ) ) ),
    inference(flattening,[status(thm)],[f6]) ).

thf(f6,plain,
    ( ( $true
     != ( p
        @ ^ [Y0: $i] :
            ( b
            & a ) ) )
    & ( $true
      = ( p
        @ ^ [Y0: $i] : b ) )
    & ( $true
      = ( p
        @ ^ [Y0: $i] : a ) ) ),
    inference(ennf_transformation,[status(thm)],[f5]) ).

thf(f5,plain,
    ~ ( ( ( $true
          = ( p
            @ ^ [Y0: $i] : b ) )
        & ( $true
          = ( p
            @ ^ [Y0: $i] : a ) ) )
     => ( $true
        = ( p
          @ ^ [Y0: $i] :
              ( b
              & a ) ) ) ),
    inference(fool_elimination,[status(thm)],[f4]) ).

thf(f4,plain,
    ~ ( ( ( p
          @ ^ [X0: $i] : b )
        & ( p
          @ ^ [X1: $i] : a ) )
     => ( p
        @ ^ [X2: $i] :
            ( a
            & b ) ) ),
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,negated_conjecture,
    ~ ( ( ( p
          @ ^ [X0: $i] : b )
        & ( p
          @ ^ [X0: $i] : a ) )
     => ( p
        @ ^ [X0: $i] :
            ( a
            & b ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f1,conjecture,
    ( ( ( p
        @ ^ [X0: $i] : b )
      & ( p
        @ ^ [X0: $i] : a ) )
   => ( p
      @ ^ [X0: $i] :
          ( a
          & b ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xB4bR6U07g/DTF2THF_13973.p',thm) ).

thf(f10,plain,
    ( $true
   != ( p
      @ ^ [Y0: $i] :
          ( b
          & a ) ) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

thf(f14,plain,
    ( ( ^ [Y0: $i] : b )
   != ( ^ [Y0: $i] :
          ( b
          & a ) ) ),
    inference(trivial_inequality_removal,[status(thm)],[f12]) ).

thf(f12,plain,
    ( ( $true != $true )
    | ( ( ^ [Y0: $i] : b )
     != ( ^ [Y0: $i] :
            ( b
            & a ) ) ) ),
    inference(constrained_superposition,[status(thm)],[f10,f8]) ).

thf(f8,plain,
    ( $true
    = ( p
      @ ^ [Y0: $i] : b ) ),
    inference(cnf_transformation,[status(thm)],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN984^1 : TPTP v9.2.1. Released v3.6.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/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 14:21:06 EST 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.34/0.48  ---- Original DTF file ---
% 0.34/0.48  thf(spec,logic,$$dhol).
% 0.34/0.48  %------------------------------------------------------------------------------
% 0.34/0.48  % File     : SYN984^1 : TPTP v9.2.1. Released v3.6.0.
% 0.34/0.48  % Domain   : Syntactic
% 0.34/0.48  % Problem  : Factoring application over conjunction with lambda
% 0.34/0.48  % Version  : Especial.
% 0.34/0.48  % English  : Variation of BB-1 with functional extensionality
% 0.34/0.48  
% 0.34/0.48  % Refs     : [BB05]  Benzmueller & Brown (2005), A Structured Set of Higher-Ord
% 0.34/0.48  %          : [Ben08] Benzmueller (2008), Email to G. Sutcliffe
% 0.34/0.48  % Source   : [Ben08]
% 0.34/0.48  % Names    : BB-2 [Ben08]
% 0.34/0.48  
% 0.34/0.48  % Status   : Theorem
% 0.34/0.48  % 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 v6.2.0, 0.33 v6.1.0, 0.17 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.50 v4.1.0, 0.67 v4.0.0, 0.33 v3.7.0
% 0.34/0.48  % Syntax   : Number of formulae    :    4 (   0 unt;   3 typ;   0 def)
% 0.34/0.48  %            Number of atoms       :    7 (   0 equ;   0 cnn)
% 0.34/0.48  %            Maximal formula atoms :    7 (   7 avg)
% 0.34/0.48  %            Number of connectives :    6 (   0   ~;   0   |;   2   &;   3   @)
% 0.34/0.48  %                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
% 0.34/0.48  %            Maximal formula depth :    5 (   5 avg)
% 0.34/0.48  %            Number of types       :    2 (   0 usr)
% 0.34/0.48  %            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
% 0.34/0.48  %            Number of symbols     :    3 (   3 usr;   2 con; 0-1 aty)
% 0.34/0.48  %            Number of variables   :    3 (   3   ^;   0   !;   0   ?;   3   :)
% 0.34/0.48  % SPC      : TH0_THM_NEQ_NAR
% 0.34/0.48  
% 0.34/0.48  % Comments : LEO-II can prove this theorem in 0.02 seconds
% 0.34/0.48  %          : Requires Boolean extensionality and functional extensionality
% 0.34/0.48  %          : 
% 0.34/0.48  %------------------------------------------------------------------------------
% 0.34/0.48  thf(a_const,type,
% 0.34/0.48      a: $o ).
% 0.34/0.48  
% 0.34/0.48  thf(b_const,type,
% 0.34/0.48      b: $o ).
% 0.34/0.48  
% 0.34/0.48  thf(p_const,type,
% 0.34/0.48      p: ( $i > $o ) > $o ).
% 0.34/0.48  
% 0.34/0.48  thf(thm,conjecture,
% 0.34/0.48      ( ( ( p
% 0.34/0.48          @ ^ [X: $i] : a )
% 0.34/0.48        & ( p
% 0.34/0.48          @ ^ [X: $i] : b ) )
% 0.34/0.48     => ( p
% 0.34/0.48        @ ^ [X: $i] :
% 0.34/0.48            ( a
% 0.34/0.48            & b ) ) ) ).
% 0.34/0.48  
% 0.34/0.48  %------------------------------------------------------------------------------
% 0.34/0.48  ------------------------
% 1.65/1.42  ---- Embedded in THF ---
% 1.65/1.42  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.65/1.42  %%% Generated on Tue Feb 24 14:21:07 EST 2026
% 1.65/1.42  %%% using '$$dhol' embedding, version 1.3.0.
% 1.65/1.42  %%% Logic specification used:
% 1.65/1.42  %%% thf(spec, logic, $$dhol).
% 1.65/1.42  
% 1.65/1.42  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.xB4bR6U07g/DTF2DTF13973.p
% See solution above
% 1.65/1.42  ------------------------
% 1.65/1.43  ---- Cleaned THF ---
% 1.65/1.43  thf(a_const,type,
% 1.65/1.43      a: $o ).
% 1.65/1.43  
% 1.65/1.43  thf(b_const,type,
% 1.65/1.43      b: $o ).
% 1.65/1.43  
% 1.65/1.43  thf(p_const,type,
% 1.65/1.43      p: ( $i > $o ) > $o ).
% 1.65/1.43  
% 1.65/1.43  thf(thm,conjecture,
% 1.65/1.43      ( ( ( p
% 1.65/1.43          @ ^ [X: $i] : a )
% 1.65/1.43        & ( p
% 1.65/1.43          @ ^ [X: $i] : b ) )
% 1.65/1.43     => ( p
% 1.65/1.43        @ ^ [X: $i] :
% 1.65/1.43            ( a
% 1.65/1.43            & b ) ) ) ).
% 1.65/1.43  ------------------------
% 1.65/1.45  % (14074)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_13973 for (3000ds/2Mi)
% 1.65/1.45  % (14072)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_13973 for (3000ds/27Mi)
% 1.65/1.45  % (14071)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_13973 for (3000ds/4Mi)
% 1.65/1.45  % (14070)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_13973 for (3000ds/183Mi)
% 1.65/1.45  % (14073)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_13973 for (3000ds/2Mi)
% 1.65/1.45  % (14076)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_13973 for (3000ds/18Mi)
% 1.65/1.45  % (14075)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_13973 for (3000ds/275Mi)
% 1.65/1.45  % (14073)Refutation not found, incomplete strategy
% 1.65/1.45  % (14073)------------------------------
% 1.65/1.45  % (14073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45  % (14072)Refutation not found, incomplete strategy
% 1.65/1.45  % (14072)------------------------------
% 1.65/1.45  % (14072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45  % (14072)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.45  
% 1.65/1.45  
% 1.65/1.45  % (14072)Memory used [KB]: 5500
% 1.65/1.45  % (14072)Time elapsed: 0.003 s
% 1.65/1.45  % (14072)Instructions burned: 2 (million)
% 1.65/1.45  % (14072)------------------------------
% 1.65/1.45  % (14072)------------------------------
% 1.65/1.45  % (14073)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.45  
% 1.65/1.45  % (14074)Instruction limit reached!
% 1.65/1.45  % (14074)------------------------------
% 1.65/1.45  % (14074)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45  % (14074)Termination reason: Unknown
% 1.65/1.45  % (14074)Termination phase: Saturation
% 1.65/1.45  
% 1.65/1.45  % (14074)Memory used [KB]: 5500
% 1.65/1.45  % (14074)Time elapsed: 0.003 s
% 1.65/1.45  % (14074)Instructions burned: 2 (million)
% 1.65/1.45  % (14075)Refutation not found, incomplete strategy
% 1.65/1.45  % (14075)------------------------------
% 1.65/1.45  % (14075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45  % (14074)------------------------------
% 1.65/1.45  % (14074)------------------------------
% 1.65/1.45  % (14075)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.45  
% 1.65/1.45  
% 1.65/1.45  % (14075)Memory used [KB]: 5373
% 1.65/1.45  % (14075)Time elapsed: 0.002 s
% 1.65/1.45  % (14075)Instructions burned: 1 (million)
% 1.65/1.45  % (14075)------------------------------
% 1.65/1.45  % (14075)------------------------------
% 1.65/1.45  
% 1.65/1.45  % (14073)Memory used [KB]: 5500
% 1.65/1.45  % (14073)Time elapsed: 0.003 s
% 1.65/1.45  % (14073)Instructions burned: 1 (million)
% 1.65/1.45  % (14073)------------------------------
% 1.65/1.45  % (14073)------------------------------
% 1.65/1.45  % (14071)Refutation not found, incomplete strategy
% 1.65/1.45  % (14071)------------------------------
% 1.65/1.45  % (14071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45  % (14071)Termination reason: Refutation not found, incomplete strategy
% 1.65/1.45  
% 1.65/1.45  
% 1.65/1.45  % (14071)Memory used [KB]: 5500
% 1.65/1.45  % (14071)Time elapsed: 0.003 s
% 1.65/1.45  % (14071)Instructions burned: 2 (million)
% 1.65/1.45  % (14071)------------------------------
% 1.65/1.45  % (14071)------------------------------
% 1.65/1.45  % (14076)First to succeed.
% 1.65/1.45  % (14070)Also succeeded, but the first one will report.
% 1.65/1.45  % (14076)Refutation found. Thanks to Tanya!
% 1.65/1.45  % SZS status Theorem for DTF2THF_13973
% 1.65/1.45  % SZS output start Proof for DTF2THF_13973
% 1.65/1.45  thf(func_def_2, type, p: ($i > $o) > $o).
% 1.65/1.45  thf(func_def_9, type, ph1: !>[X0: $tType]:(X0)).
% 1.65/1.45  thf(f29,plain,(
% 1.65/1.45    $false),
% 1.65/1.45    inference(trivial_inequality_removal,[status(thm)],[f28])).
% 1.65/1.45  thf(f28,plain,(
% 1.65/1.45    ((^[Y0 : $i]: (b)) != (^[Y0 : $i]: (b)))),
% 1.65/1.45    inference(boolean_simplification,[status(thm)],[f25])).
% 1.65/1.45  thf(f25,plain,(
% 1.65/1.45    ((^[Y0 : $i]: (b)) != (^[Y0 : $i]: (b & $true)))),
% 1.65/1.45    inference(backward_demodulation,[status(thm)],[f14,f23])).
% 1.65/1.45  thf(f23,plain,(
% 1.65/1.45    (a = $true)),
% 1.65/1.45    inference(duplicate_literal_removal,[status(thm)],[f21])).
% 1.65/1.45  thf(f21,plain,(
% 1.65/1.45    (a = $true) | (a = $true)),
% 1.65/1.45    inference(binary_proxy_clausification,[status(thm)],[f17])).
% 1.65/1.45  thf(f17,plain,(
% 1.65/1.45    (a = $true) | ($true = (b & a))),
% 1.65/1.45    inference(binary_proxy_clausification,[status(thm)],[f16])).
% 1.65/1.45  thf(f16,plain,(
% 1.65/1.45    (a != (b & a))),
% 1.65/1.45    inference(beta_eta_normalization,[status(thm)],[f15])).
% 1.65/1.45  thf(f15,plain,(
% 1.65/1.45    (((^[Y0 : $i]: (a)) @ sK2) != ((^[Y0 : $i]: (b & a)) @ sK2))),
% 1.65/1.45    inference(negative_extensionality,[status(thm)],[f13])).
% 1.65/1.45  thf(f13,plain,(
% 1.65/1.45    ((^[Y0 : $i]: (b & a)) != (^[Y0 : $i]: (a)))),
% 1.65/1.45    inference(trivial_inequality_removal,[status(thm)],[f11])).
% 1.65/1.45  thf(f11,plain,(
% 1.65/1.45    ((^[Y0 : $i]: (b & a)) != (^[Y0 : $i]: (a))) | ($true != $true)),
% 1.65/1.45    inference(constrained_superposition,[status(thm)],[f10,f9])).
% 1.65/1.45  thf(f9,plain,(
% 1.65/1.45    ($true = (p @ (^[Y0 : $i]: (a))))),
% 1.65/1.45    inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.45  thf(f7,plain,(
% 1.65/1.45    ($true != (p @ (^[Y0 : $i]: (b & a)))) & ($true = (p @ (^[Y0 : $i]: (a)))) & ($true = (p @ (^[Y0 : $i]: (b))))),
% 1.65/1.45    inference(flattening,[status(thm)],[f6])).
% 1.65/1.45  thf(f6,plain,(
% 1.65/1.45    ($true != (p @ (^[Y0 : $i]: (b & a)))) & (($true = (p @ (^[Y0 : $i]: (b)))) & ($true = (p @ (^[Y0 : $i]: (a)))))),
% 1.65/1.45    inference(ennf_transformation,[status(thm)],[f5])).
% 1.65/1.45  thf(f5,plain,(
% 1.65/1.45    ~((($true = (p @ (^[Y0 : $i]: (b)))) & ($true = (p @ (^[Y0 : $i]: (a))))) => ($true = (p @ (^[Y0 : $i]: (b & a)))))),
% 1.65/1.45    inference(fool_elimination,[status(thm)],[f4])).
% 1.65/1.45  thf(f4,plain,(
% 1.65/1.45    ~(((p @ (^[X0 : $i] : (b))) & (p @ (^[X1 : $i] : (a)))) => (p @ (^[X2 : $i] : (a & b))))),
% 1.65/1.45    inference(rectify,[status(thm)],[f2])).
% 1.65/1.45  thf(f2,negated_conjecture,(
% 1.65/1.45    ~(((p @ (^[X0 : $i] : (b))) & (p @ (^[X0 : $i] : (a)))) => (p @ (^[X0 : $i] : (a & b))))),
% 1.65/1.45    inference(negated_conjecture,[status(cth)],[f1])).
% 1.65/1.45  thf(f1,conjecture,(
% 1.65/1.45    ((p @ (^[X0 : $i] : (b))) & (p @ (^[X0 : $i] : (a)))) => (p @ (^[X0 : $i] : (a & b)))),
% 1.65/1.45    file('/export/starexec/sandbox/tmp/tmp.xB4bR6U07g/DTF2THF_13973.p',thm)).
% 1.65/1.45  thf(f10,plain,(
% 1.65/1.45    ($true != (p @ (^[Y0 : $i]: (b & a))))),
% 1.65/1.45    inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.45  thf(f14,plain,(
% 1.65/1.45    ((^[Y0 : $i]: (b)) != (^[Y0 : $i]: (b & a)))),
% 1.65/1.45    inference(trivial_inequality_removal,[status(thm)],[f12])).
% 1.65/1.45  thf(f12,plain,(
% 1.65/1.45    ($true != $true) | ((^[Y0 : $i]: (b)) != (^[Y0 : $i]: (b & a)))),
% 1.65/1.45    inference(constrained_superposition,[status(thm)],[f10,f8])).
% 1.65/1.45  thf(f8,plain,(
% 1.65/1.45    ($true = (p @ (^[Y0 : $i]: (b))))),
% 1.65/1.45    inference(cnf_transformation,[status(thm)],[f7])).
% 1.65/1.45  % SZS output end Proof for DTF2THF_13973
% 1.65/1.45  % (14076)------------------------------
% 1.65/1.45  % (14076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.45  % (14076)Termination reason: Refutation
% 1.65/1.45  
% 1.65/1.45  % (14076)Memory used [KB]: 5500
% 1.65/1.45  % (14076)Time elapsed: 0.003 s
% 1.65/1.45  % (14076)Instructions burned: 2 (million)
% 1.65/1.45  % (14076)------------------------------
% 1.65/1.45  % (14076)------------------------------
% 1.65/1.45  % (14069)Success in time 0.017 s
%------------------------------------------------------------------------------