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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : DAT056^1 : TPTP v9.3.1. Released v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Sep 30 07:48:21 AM UTC 2026

% Result   : Theorem 0.25s 0.34s
% Output   : Refutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   61 (  21 unt;   0 typ;   6 def)
%            Number of atoms       :  123 (  60 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  632 (  48   ~;  46   |;   4   &; 522   @)
%                                         (   6 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;  17 con; 0-2 aty)
%            Number of variables   :   97 (   0 sgn  75   !;  22   ?;  97   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    lst: $tType ).

thf(type_def_6,type,
    a: $tType ).

thf(type_def_7,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    ap: lst > lst > lst ).

thf(func_def_1,type,
    cns: a > lst > lst ).

thf(func_def_2,type,
    nl: lst ).

thf(func_def_3,type,
    xs: lst ).

thf(func_def_5,type,
    sK0: lst ).

thf(func_def_6,type,
    sK1: a ).

thf(func_def_7,type,
    sK2: lst ).

thf(func_def_8,type,
    sK3: lst ).

thf(func_def_9,type,
    sK4: lst ).

thf(func_def_10,type,
    sK5: lst ).

thf(func_def_11,type,
    sK6: lst ).

thf(func_def_12,type,
    sK7: lst ).

thf(f1,axiom,
    ! [X0: lst] :
      ( ! [X2: lst,X1: lst] :
          ( ( ap @ nl @ ( ap @ X1 @ X2 ) )
          = ( ap @ ( ap @ nl @ X1 ) @ X2 ) )
     => ( ! [X3: a,X4: lst] :
            ( ! [X6: lst,X5: lst] :
                ( ( ap @ X4 @ ( ap @ X5 @ X6 ) )
                = ( ap @ ( ap @ X4 @ X5 ) @ X6 ) )
           => ! [X2: lst,X1: lst] :
                ( ( ap @ ( cns @ X3 @ X4 ) @ ( ap @ X1 @ X2 ) )
                = ( ap @ ( ap @ ( cns @ X3 @ X4 ) @ X1 ) @ X2 ) ) )
       => ! [X5: lst,X6: lst] :
            ( ( ap @ X0 @ ( ap @ X5 @ X6 ) )
            = ( ap @ ( ap @ X0 @ X5 ) @ X6 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_lst_Oinduct_091where_AP_A_061_A_C_Fxs_O_AALL_Ays_Azs_O_Aap_Axs_A_Iap_Ays_Azs_J_A_061_Aap_A_Iap_Axs_Ays_J_Azs_C_093) ).

thf(f2,axiom,
    ! [X1: lst,X2: a,X0: lst] :
      ( ( ap @ ( cns @ X2 @ X1 ) @ X0 )
      = ( cns @ X2 @ ( ap @ X1 @ X0 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1p_Osimps_I2_J) ).

thf(f3,axiom,
    ! [X0: lst] :
      ( ( ap @ nl @ X0 )
      = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2p_Osimps_I1_J) ).

thf(f4,conjecture,
    ! [X1: lst,X0: lst] :
      ( ( ap @ xs @ ( ap @ X0 @ X1 ) )
      = ( ap @ ( ap @ xs @ X0 ) @ X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(f5,negated_conjecture,
    ~ ! [X1: lst,X0: lst] :
        ( ( ap @ xs @ ( ap @ X0 @ X1 ) )
        = ( ap @ ( ap @ xs @ X0 ) @ X1 ) ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

thf(f6,plain,
    ! [X0: lst] :
      ( ! [X2: lst,X1: lst] :
          ( ( ap @ nl @ ( ap @ X2 @ X1 ) )
          = ( ap @ ( ap @ nl @ X2 ) @ X1 ) )
     => ( ! [X4: lst,X3: a] :
            ( ! [X5: lst,X6: lst] :
                ( ( ap @ ( ap @ X4 @ X6 ) @ X5 )
                = ( ap @ X4 @ ( ap @ X6 @ X5 ) ) )
           => ! [X8: lst,X7: lst] :
                ( ( ap @ ( ap @ ( cns @ X3 @ X4 ) @ X8 ) @ X7 )
                = ( ap @ ( cns @ X3 @ X4 ) @ ( ap @ X8 @ X7 ) ) ) )
       => ! [X10: lst,X9: lst] :
            ( ( ap @ ( ap @ X0 @ X9 ) @ X10 )
            = ( ap @ X0 @ ( ap @ X9 @ X10 ) ) ) ) ),
    inference(rectify,[],[f1]) ).

thf(f7,plain,
    ! [X0: lst,X1: a,X2: lst] :
      ( ( ap @ ( cns @ X1 @ X0 ) @ X2 )
      = ( cns @ X1 @ ( ap @ X0 @ X2 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f8,plain,
    ? [X1: lst,X0: lst] :
      ( ( ap @ xs @ ( ap @ X0 @ X1 ) )
     != ( ap @ ( ap @ xs @ X0 ) @ X1 ) ),
    inference(ennf_transformation,[],[f5]) ).

thf(f9,plain,
    ! [X0: lst] :
      ( ! [X10: lst,X9: lst] :
          ( ( ap @ ( ap @ X0 @ X9 ) @ X10 )
          = ( ap @ X0 @ ( ap @ X9 @ X10 ) ) )
      | ? [X4: lst,X3: a] :
          ( ? [X8: lst,X7: lst] :
              ( ( ap @ ( ap @ ( cns @ X3 @ X4 ) @ X8 ) @ X7 )
             != ( ap @ ( cns @ X3 @ X4 ) @ ( ap @ X8 @ X7 ) ) )
          & ! [X5: lst,X6: lst] :
              ( ( ap @ ( ap @ X4 @ X6 ) @ X5 )
              = ( ap @ X4 @ ( ap @ X6 @ X5 ) ) ) )
      | ? [X2: lst,X1: lst] :
          ( ( ap @ nl @ ( ap @ X2 @ X1 ) )
         != ( ap @ ( ap @ nl @ X2 ) @ X1 ) ) ),
    inference(ennf_transformation,[],[f6]) ).

thf(f10,plain,
    ! [X0: lst] :
      ( ? [X4: lst,X3: a] :
          ( ? [X8: lst,X7: lst] :
              ( ( ap @ ( ap @ ( cns @ X3 @ X4 ) @ X8 ) @ X7 )
             != ( ap @ ( cns @ X3 @ X4 ) @ ( ap @ X8 @ X7 ) ) )
          & ! [X5: lst,X6: lst] :
              ( ( ap @ ( ap @ X4 @ X6 ) @ X5 )
              = ( ap @ X4 @ ( ap @ X6 @ X5 ) ) ) )
      | ? [X2: lst,X1: lst] :
          ( ( ap @ nl @ ( ap @ X2 @ X1 ) )
         != ( ap @ ( ap @ nl @ X2 ) @ X1 ) )
      | ! [X10: lst,X9: lst] :
          ( ( ap @ ( ap @ X0 @ X9 ) @ X10 )
          = ( ap @ X0 @ ( ap @ X9 @ X10 ) ) ) ),
    inference(flattening,[],[f9]) ).

thf(f11,plain,
    ! [X0: lst] :
      ( ? [X1: lst,X2: a] :
          ( ? [X3: lst,X4: lst] :
              ( ( ap @ ( cns @ X2 @ X1 ) @ ( ap @ X3 @ X4 ) )
             != ( ap @ ( ap @ ( cns @ X2 @ X1 ) @ X3 ) @ X4 ) )
          & ! [X5: lst,X6: lst] :
              ( ( ap @ X1 @ ( ap @ X6 @ X5 ) )
              = ( ap @ ( ap @ X1 @ X6 ) @ X5 ) ) )
      | ? [X7: lst,X8: lst] :
          ( ( ap @ nl @ ( ap @ X7 @ X8 ) )
         != ( ap @ ( ap @ nl @ X7 ) @ X8 ) )
      | ! [X9: lst,X10: lst] :
          ( ( ap @ ( ap @ X0 @ X10 ) @ X9 )
          = ( ap @ X0 @ ( ap @ X10 @ X9 ) ) ) ),
    inference(rectify,[],[f10]) ).

thf(f12,plain,
    ! [X0: lst] :
      ( ( ( ( ap @ ( ap @ ( cns @ sK1 @ sK0 ) @ sK2 ) @ sK3 )
         != ( ap @ ( cns @ sK1 @ sK0 ) @ ( ap @ sK2 @ sK3 ) ) )
        & ! [X5: lst,X6: lst] :
            ( ( ap @ sK0 @ ( ap @ X6 @ X5 ) )
            = ( ap @ ( ap @ sK0 @ X6 ) @ X5 ) ) )
      | ( ( ap @ ( ap @ nl @ sK4 ) @ sK5 )
       != ( ap @ nl @ ( ap @ sK4 @ sK5 ) ) )
      | ! [X9: lst,X10: lst] :
          ( ( ap @ ( ap @ X0 @ X10 ) @ X9 )
          = ( ap @ X0 @ ( ap @ X10 @ X9 ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X1,sK0),skolemize(X2,sK1),skolemize(X3,sK2),skolemize(X4,sK3),skolemize(X7,sK4),skolemize(X8,sK5)],[f11]) ).

thf(f13,plain,
    ? [X0: lst,X1: lst] :
      ( ( ap @ xs @ ( ap @ X1 @ X0 ) )
     != ( ap @ ( ap @ xs @ X1 ) @ X0 ) ),
    inference(rectify,[],[f8]) ).

thf(f14,plain,
    ( ( ap @ xs @ ( ap @ sK7 @ sK6 ) )
   != ( ap @ ( ap @ xs @ sK7 ) @ sK6 ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X0,sK6),skolemize(X1,sK7)],[f13]) ).

thf(f15,plain,
    ! [X10: lst,X0: lst,X6: lst,X9: lst,X5: lst] :
      ( ( ( ap @ sK0 @ ( ap @ X6 @ X5 ) )
        = ( ap @ ( ap @ sK0 @ X6 ) @ X5 ) )
      | ( ( ap @ ( ap @ X0 @ X10 ) @ X9 )
        = ( ap @ X0 @ ( ap @ X10 @ X9 ) ) )
      | ( ( ap @ ( ap @ nl @ sK4 ) @ sK5 )
       != ( ap @ nl @ ( ap @ sK4 @ sK5 ) ) ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f16,plain,
    ! [X10: lst,X0: lst,X9: lst] :
      ( ( ( ap @ ( ap @ X0 @ X10 ) @ X9 )
        = ( ap @ X0 @ ( ap @ X10 @ X9 ) ) )
      | ( ( ap @ ( ap @ nl @ sK4 ) @ sK5 )
       != ( ap @ nl @ ( ap @ sK4 @ sK5 ) ) )
      | ( ( ap @ ( ap @ ( cns @ sK1 @ sK0 ) @ sK2 ) @ sK3 )
       != ( ap @ ( cns @ sK1 @ sK0 ) @ ( ap @ sK2 @ sK3 ) ) ) ),
    inference(cnf_transformation,[],[f12]) ).

thf(f17,plain,
    ! [X0: lst] :
      ( ( ap @ nl @ X0 )
      = X0 ),
    inference(cnf_transformation,[],[f3]) ).

thf(f18,plain,
    ( ( ap @ xs @ ( ap @ sK7 @ sK6 ) )
   != ( ap @ ( ap @ xs @ sK7 ) @ sK6 ) ),
    inference(cnf_transformation,[],[f14]) ).

thf(f19,plain,
    ! [X2: lst,X0: lst,X1: a] :
      ( ( ap @ ( cns @ X1 @ X0 ) @ X2 )
      = ( cns @ X1 @ ( ap @ X0 @ X2 ) ) ),
    inference(cnf_transformation,[],[f7]) ).

thf(f21,definition,
    ( spl8_1
  <=> ( ( ap @ ( ap @ ( cns @ sK1 @ sK0 ) @ sK2 ) @ sK3 )
      = ( ap @ ( cns @ sK1 @ sK0 ) @ ( ap @ sK2 @ sK3 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).

thf(f23,plain,
    ( ( ( ap @ ( ap @ ( cns @ sK1 @ sK0 ) @ sK2 ) @ sK3 )
     != ( ap @ ( cns @ sK1 @ sK0 ) @ ( ap @ sK2 @ sK3 ) ) )
    | spl8_1 ),
    inference(avatar_component_clause,[],[f21]) ).

thf(f25,definition,
    ( spl8_2
  <=> ( ( ap @ ( ap @ nl @ sK4 ) @ sK5 )
      = ( ap @ nl @ ( ap @ sK4 @ sK5 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).

thf(f27,plain,
    ( ( ( ap @ ( ap @ nl @ sK4 ) @ sK5 )
     != ( ap @ nl @ ( ap @ sK4 @ sK5 ) ) )
    | spl8_2 ),
    inference(avatar_component_clause,[],[f25]) ).

thf(f29,definition,
    ( spl8_3
  <=> ! [X9: lst,X0: lst,X10: lst] :
        ( ( ap @ ( ap @ X0 @ X10 ) @ X9 )
        = ( ap @ X0 @ ( ap @ X10 @ X9 ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).

thf(f30,plain,
    ( ! [X10: lst,X0: lst,X9: lst] :
        ( ( ap @ ( ap @ X0 @ X10 ) @ X9 )
        = ( ap @ X0 @ ( ap @ X10 @ X9 ) ) )
    | ~ spl8_3 ),
    inference(avatar_component_clause,[],[f29]) ).

thf(f31,plain,
    ( ~ spl8_1
    | ~ spl8_2
    | spl8_3 ),
    inference(avatar_split_clause,[],[f16,f29,f25,f21]) ).

thf(f33,definition,
    ( spl8_4
  <=> ! [X6: lst,X5: lst] :
        ( ( ap @ sK0 @ ( ap @ X6 @ X5 ) )
        = ( ap @ ( ap @ sK0 @ X6 ) @ X5 ) ) ),
    introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).

thf(f34,plain,
    ( ! [X6: lst,X5: lst] :
        ( ( ap @ sK0 @ ( ap @ X6 @ X5 ) )
        = ( ap @ ( ap @ sK0 @ X6 ) @ X5 ) )
    | ~ spl8_4 ),
    inference(avatar_component_clause,[],[f33]) ).

thf(f35,plain,
    ( ~ spl8_2
    | spl8_3
    | spl8_4 ),
    inference(avatar_split_clause,[],[f15,f33,f29,f25]) ).

thf(f37,definition,
    ( spl8_5
  <=> ( ( ap @ xs @ ( ap @ sK7 @ sK6 ) )
      = ( ap @ ( ap @ xs @ sK7 ) @ sK6 ) ) ),
    introduced(definition,[new_symbols(definition,[spl8_5])],[avatar_definition]) ).

thf(f39,plain,
    ( ( ( ap @ xs @ ( ap @ sK7 @ sK6 ) )
     != ( ap @ ( ap @ xs @ sK7 ) @ sK6 ) )
    | spl8_5 ),
    inference(avatar_component_clause,[],[f37]) ).

thf(f40,plain,
    ~ spl8_5,
    inference(avatar_split_clause,[],[f18,f37]) ).

thf(f41,plain,
    ( ( ( ap @ ( ap @ nl @ sK4 ) @ sK5 )
     != ( ap @ sK4 @ sK5 ) )
    | spl8_2 ),
    inference(forward_demodulation,[],[f27,f17]) ).

thf(f42,plain,
    ( ( ( ap @ sK4 @ sK5 )
     != ( ap @ sK4 @ sK5 ) )
    | spl8_2 ),
    inference(forward_demodulation,[],[f41,f17]) ).

thf(f43,plain,
    ( $false
    | spl8_2 ),
    inference(trivial_inequality_removal,[],[f42]) ).

thf(f44,plain,
    spl8_2,
    inference(avatar_contradiction_clause,[],[f43]) ).

thf(f49,plain,
    ( ( ( ap @ xs @ ( ap @ sK7 @ sK6 ) )
     != ( ap @ xs @ ( ap @ sK7 @ sK6 ) ) )
    | ~ spl8_3
    | spl8_5 ),
    inference(superposition,[],[f39,f30]) ).

thf(f50,plain,
    ( $false
    | ~ spl8_3
    | spl8_5 ),
    inference(trivial_inequality_removal,[],[f49]) ).

thf(f51,plain,
    ( ~ spl8_3
    | spl8_5 ),
    inference(avatar_contradiction_clause,[],[f50]) ).

thf(f56,plain,
    ( ( ( cns @ sK1 @ ( ap @ sK0 @ ( ap @ sK2 @ sK3 ) ) )
     != ( ap @ ( ap @ ( cns @ sK1 @ sK0 ) @ sK2 ) @ sK3 ) )
    | spl8_1 ),
    inference(forward_demodulation,[],[f23,f19]) ).

thf(f57,plain,
    ( ( ( cns @ sK1 @ ( ap @ sK0 @ ( ap @ sK2 @ sK3 ) ) )
     != ( ap @ ( cns @ sK1 @ ( ap @ sK0 @ sK2 ) ) @ sK3 ) )
    | spl8_1 ),
    inference(forward_demodulation,[],[f56,f19]) ).

thf(f58,plain,
    ( ( ( cns @ sK1 @ ( ap @ ( ap @ sK0 @ sK2 ) @ sK3 ) )
     != ( cns @ sK1 @ ( ap @ sK0 @ ( ap @ sK2 @ sK3 ) ) ) )
    | spl8_1 ),
    inference(forward_demodulation,[],[f57,f19]) ).

thf(f60,definition,
    ( spl8_6
  <=> ( ( cns @ sK1 @ ( ap @ ( ap @ sK0 @ sK2 ) @ sK3 ) )
      = ( cns @ sK1 @ ( ap @ sK0 @ ( ap @ sK2 @ sK3 ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).

thf(f62,plain,
    ( ( ( cns @ sK1 @ ( ap @ ( ap @ sK0 @ sK2 ) @ sK3 ) )
     != ( cns @ sK1 @ ( ap @ sK0 @ ( ap @ sK2 @ sK3 ) ) ) )
    | spl8_6 ),
    inference(avatar_component_clause,[],[f60]) ).

thf(f63,plain,
    ( ~ spl8_6
    | spl8_1 ),
    inference(avatar_split_clause,[],[f58,f21,f60]) ).

thf(f64,plain,
    ( ( ( cns @ sK1 @ ( ap @ sK0 @ ( ap @ sK2 @ sK3 ) ) )
     != ( cns @ sK1 @ ( ap @ sK0 @ ( ap @ sK2 @ sK3 ) ) ) )
    | ~ spl8_4
    | spl8_6 ),
    inference(forward_demodulation,[],[f62,f34]) ).

thf(f65,plain,
    ( $false
    | ~ spl8_4
    | spl8_6 ),
    inference(trivial_inequality_removal,[],[f64]) ).

thf(f66,plain,
    ( ~ spl8_4
    | spl8_6 ),
    inference(avatar_contradiction_clause,[],[f65]) ).

cnf(s1,plain,
    ( ~ spl8_1
    | ~ spl8_2
    | spl8_3 ),
    inference(sat_conversion,[],[f31]) ).

cnf(s2,plain,
    ( ~ spl8_2
    | spl8_3
    | spl8_4 ),
    inference(sat_conversion,[],[f35]) ).

cnf(s3,plain,
    ~ spl8_5,
    inference(sat_conversion,[],[f40]) ).

cnf(s4,plain,
    spl8_2,
    inference(sat_conversion,[],[f44]) ).

cnf(s5,plain,
    ( ~ spl8_3
    | spl8_5 ),
    inference(sat_conversion,[],[f51]) ).

cnf(s6,plain,
    ( spl8_1
    | ~ spl8_6 ),
    inference(sat_conversion,[],[f63]) ).

cnf(s7,plain,
    ( ~ spl8_4
    | spl8_6 ),
    inference(sat_conversion,[],[f66]) ).

cnf(s8,plain,
    ~ spl8_3,
    inference(rat,[],[s5,s3]) ).

cnf(s9,plain,
    spl8_4,
    inference(rat,[],[s2,s8,s4]) ).

cnf(s10,plain,
    spl8_6,
    inference(rat,[],[s7,s9]) ).

cnf(s11,plain,
    spl8_1,
    inference(rat,[],[s6,s10]) ).

cnf(s12,plain,
    $false,
    inference(rat,[],[s1,s8,s4,s11]) ).

thf(f67,plain,
    $false,
    inference(avatar_sat_refutation,[],[s12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : DAT056^1 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24  % Computer : n009.cluster.edu
% 0.10/0.24  % Model    : x86_64 x86_64
% 0.10/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24  % Memory   : 8046.5625MB
% 0.10/0.24  % OS       : Linux 6.8.0-71-generic
% 0.10/0.24  % CPULimit : 300
% 0.10/0.24  % WCLimit  : 300
% 0.10/0.24  % DateTime : Tue Sep 29 17:58:15 UTC 2026
% 0.10/0.24  % CPUTime  : 
% 0.10/0.24  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29  Running higher-order theorem proving
% 0.25/0.31  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.34  % (149350)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.25/0.34  % (149358)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3180052958:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.25/0.34  % (149358) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-149350-149358"...
% 0.25/0.34  % (149355)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3750040782:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.25/0.34  % (149358)...printing done.
% 0.25/0.34  % (149358)Refutation found. Thanks to Tanya!
% 0.25/0.34  % SZS status Theorem for theBenchmark
% 0.25/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.35  % (149358)------------------------------
% 0.25/0.35  % (149358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.35  % (149358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.35  % (149358)CaDiCaL version: 2.1.3
% 0.25/0.35  % (149358)Termination reason: Refutation
% 0.25/0.35  % (149358)Time elapsed: 0.005 s
% 0.25/0.35  % (149358)Peak memory usage: 13 MB
% 0.25/0.35  % (149358)Instructions burned: 8 (million)
% 0.25/0.35  % (149350)Success in time 0.029 s
% 0.25/0.35  % Vampire exiting
%------------------------------------------------------------------------------