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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEV166^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 08:37:56 AM UTC 2026

% Result   : Theorem 0.22s 0.37s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   32 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   81 (  80 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  210 (  35   ~;  31   |;  13   &; 126   @)
%                                         (   4 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   98 (  98   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   5 con; 0-4 aty)
%            Number of variables   :   85 (  46   ^;  23   !;  16   ?;  85   :)

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

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_1,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_2,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_3,type,
    sK0: a ).

thf(func_def_4,type,
    sK1: a ).

thf(func_def_5,type,
    sK2: a ).

thf(func_def_6,type,
    sK3: a ).

thf(func_def_7,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_8,type,
    sK4: a > a > a ).

thf(f1,conjecture,
    ! [X0: a,X1: a,X3: a,X2: a] :
      ( ( ( ^ [X4: a > a > a] : ( X4 @ X0 @ X1 ) )
        = ( ^ [X4: a > a > a] : ( X4 @ X2 @ X3 ) ) )
    <=> ( ( X1 = X3 )
        & ( X0 = X2 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM182_pme) ).

thf(f2,negated_conjecture,
    ~ ! [X0: a,X1: a,X3: a,X2: a] :
        ( ( ( ^ [X4: a > a > a] : ( X4 @ X0 @ X1 ) )
          = ( ^ [X4: a > a > a] : ( X4 @ X2 @ X3 ) ) )
      <=> ( ( X1 = X3 )
          & ( X0 = X2 ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

thf(f3,plain,
    ~ ! [X0: a,X1: a,X2: a,X3: a] :
        ( ( ( ^ [X4: a > a > a] : ( X4 @ X0 @ X1 ) )
          = ( ^ [X5: a > a > a] : ( X5 @ X3 @ X2 ) ) )
      <=> ( ( X1 = X2 )
          & ( X0 = X3 ) ) ),
    inference(rectify,[],[f2]) ).

thf(f4,plain,
    ~ ! [X1: a,X0: a,X3: a,X2: a] :
        ( ( ( ^ [Y0: a > a > a] : ( Y0 @ X0 @ X1 ) )
          = ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X2 ) ) )
      <=> ( ( X1 = X2 )
          & ( X0 = X3 ) ) ),
    inference(fool_elimination,[],[f3]) ).

thf(f5,plain,
    ? [X1: a,X2: a,X0: a,X3: a] :
      ( ( ( ^ [Y0: a > a > a] : ( Y0 @ X0 @ X1 ) )
        = ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X2 ) ) )
    <~> ( ( X1 = X2 )
        & ( X0 = X3 ) ) ),
    inference(ennf_transformation,[],[f4]) ).

thf(f6,plain,
    ? [X1: a,X2: a,X0: a,X3: a] :
      ( ( ( X1 != X2 )
        | ( X0 != X3 )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ X0 @ X1 ) )
         != ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X2 ) ) ) )
      & ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ X0 @ X1 ) )
          = ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X2 ) ) ) ) ),
    inference(nnf_transformation,[],[f5]) ).

thf(f7,plain,
    ? [X1: a,X2: a,X0: a,X3: a] :
      ( ( ( X1 != X2 )
        | ( X0 != X3 )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ X0 @ X1 ) )
         != ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X2 ) ) ) )
      & ( ( ( X1 = X2 )
          & ( X0 = X3 ) )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ X0 @ X1 ) )
          = ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X2 ) ) ) ) ),
    inference(flattening,[],[f6]) ).

thf(f8,plain,
    ? [X0: a,X1: a,X2: a,X3: a] :
      ( ( ( X0 != X1 )
        | ( X2 != X3 )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X1 ) )
         != ( ^ [Y0: a > a > a] : ( Y0 @ X2 @ X0 ) ) ) )
      & ( ( ( X0 = X1 )
          & ( X2 = X3 ) )
        | ( ( ^ [Y0: a > a > a] : ( Y0 @ X3 @ X1 ) )
          = ( ^ [Y0: a > a > a] : ( Y0 @ X2 @ X0 ) ) ) ) ),
    inference(rectify,[],[f7]) ).

thf(f9,plain,
    ( ( ( sK1 != sK0 )
      | ( sK2 != sK3 )
      | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) )
       != ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK0 ) ) ) )
    & ( ( ( sK1 = sK0 )
        & ( sK2 = sK3 ) )
      | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) )
        = ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK0 ) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f8]) ).

thf(f10,plain,
    ( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) )
      = ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK0 ) ) )
    | ( sK2 = sK3 ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f11,plain,
    ( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) )
      = ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK0 ) ) )
    | ( sK1 = sK0 ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f12,plain,
    ( ( sK1 != sK0 )
    | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) )
     != ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK0 ) ) )
    | ( sK2 != sK3 ) ),
    inference(cnf_transformation,[],[f9]) ).

thf(f13,plain,
    ! [X1: a > a > a] :
      ( ( sK2 = sK3 )
      | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 )
          @ X1 )
        = ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK0 )
          @ X1 ) ) ),
    inference(argument_congruence,[],[f10]) ).

thf(f14,plain,
    ! [X1: a > a > a] :
      ( ( ( X1 @ sK2 @ sK0 )
        = ( X1 @ sK3 @ sK1 ) )
      | ( sK2 = sK3 ) ),
    inference(beta-eta_normalization,[],[f13]) ).

thf(f15,plain,
    ! [X1: a > a > a] :
      ( ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 )
          @ X1 )
        = ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK0 )
          @ X1 ) )
      | ( sK1 = sK0 ) ),
    inference(argument_congruence,[],[f11]) ).

thf(f16,plain,
    ! [X1: a > a > a] :
      ( ( ( X1 @ sK2 @ sK0 )
        = ( X1 @ sK3 @ sK1 ) )
      | ( sK1 = sK0 ) ),
    inference(beta-eta_normalization,[],[f15]) ).

thf(f18,plain,
    ! [X0: a > a > a] :
      ( ( sK2
       != ( X0 @ sK2 @ sK0 ) )
      | ( ( X0 @ sK3 @ sK1 )
       != sK3 )
      | ( sK2 = sK3 ) ),
    inference(equality_factoring,[],[f14]) ).

thf(f25,plain,
    ! [X0: a > a > a] :
      ( ( ( X0 @ sK2 @ sK0 )
       != sK0 )
      | ( sK1 = sK0 )
      | ( sK1
       != ( X0 @ sK3 @ sK1 ) ) ),
    inference(equality_factoring,[],[f16]) ).

thf(f29,plain,
    ( ( sK3
     != ( ^ [Y0: a,Y1: a] : Y0
        @ sK3
        @ sK1 ) )
    | ( sK2 = sK3 ) ),
    inference(equality_resolution,[],[f18]) ).

thf(f33,plain,
    ( ( sK2 = sK3 )
    | ( sK3 != sK3 ) ),
    inference(beta-eta_normalization,[],[f29]) ).

thf(f34,plain,
    sK2 = sK3,
    inference(trivial_inequality_removal,[],[f33]) ).

thf(f63,plain,
    ! [X0: a > a > a] :
      ( ( sK1
       != ( X0 @ sK3 @ sK1 ) )
      | ( sK1 = sK0 )
      | ( sK0
       != ( X0 @ sK3 @ sK0 ) ) ),
    inference(forward_demodulation,[],[f25,f34]) ).

thf(f109,plain,
    ( ( ( ^ [Y0: a,Y1: a] : Y1
        @ sK3
        @ sK0 )
     != sK0 )
    | ( sK1 = sK0 ) ),
    inference(equality_resolution,[],[f63]) ).

thf(f118,plain,
    ( ( sK0 != sK0 )
    | ( sK1 = sK0 ) ),
    inference(beta-eta_normalization,[],[f109]) ).

thf(f119,plain,
    sK1 = sK0,
    inference(trivial_inequality_removal,[],[f118]) ).

thf(f153,plain,
    ( ( sK2 != sK3 )
    | ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) )
     != ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK0 ) ) ) ),
    inference(forward_subsumption_resolution,[],[f12,f119]) ).

thf(f154,plain,
    ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 ) )
   != ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK0 ) ) ),
    inference(forward_subsumption_resolution,[],[f153,f34]) ).

thf(f155,plain,
    ( ( ^ [Y0: a > a > a] : ( Y0 @ sK3 @ sK1 )
      @ sK4 )
   != ( ^ [Y0: a > a > a] : ( Y0 @ sK2 @ sK0 )
      @ sK4 ) ),
    inference(negative_extensionality,[],[f154]) ).

thf(f158,plain,
    ( ( sK4 @ sK3 @ sK1 )
   != ( sK4 @ sK2 @ sK0 ) ),
    inference(beta-eta_normalization,[],[f155]) ).

thf(f161,plain,
    ( ( sK4 @ sK3 @ sK1 )
   != ( sK4 @ sK3 @ sK0 ) ),
    inference(forward_demodulation,[],[f158,f34]) ).

thf(f162,plain,
    ( ( sK4 @ sK3 @ sK1 )
   != ( sK4 @ sK3 @ sK1 ) ),
    inference(forward_demodulation,[],[f161,f119]) ).

thf(f163,plain,
    $false,
    inference(trivial_inequality_removal,[],[f162]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV166^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n008.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Tue Sep 29 15:18:54 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running higher-order theorem proving
% 0.09/0.24  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.33  % (3288840)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.33  % (3288846)lrs+10_16_si=on:nwc=1.5:random_seed=1012497165:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.33  % (3288845)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3721830859:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.33  % (3288847)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3202235024:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.33  % (3288845)Refutation not found, incomplete strategy
% 0.22/0.33  % (3288845)------------------------------
% 0.22/0.33  % (3288845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33  % (3288845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33  % (3288845)CaDiCaL version: 2.1.3
% 0.22/0.33  % (3288845)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.33  % (3288845)Time elapsed: 0.001 s
% 0.22/0.33  % (3288845)Peak memory usage: 12 MB
% 0.22/0.33  % (3288845)Instructions burned: 1 (million)
% 0.22/0.33  % (3288847)Refutation not found, incomplete strategy
% 0.22/0.33  % (3288847)------------------------------
% 0.22/0.33  % (3288847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33  % (3288847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33  % (3288847)CaDiCaL version: 2.1.3
% 0.22/0.33  % (3288847)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.33  % (3288847)Time elapsed: 0.002 s
% 0.22/0.33  % (3288846)Refutation not found, incomplete strategy
% 0.22/0.33  % (3288846)------------------------------
% 0.22/0.33  % (3288846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33  % (3288847)Peak memory usage: 12 MB
% 0.22/0.33  % (3288847)Instructions burned: 1 (million)
% 0.22/0.33  % (3288846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33  % (3288846)CaDiCaL version: 2.1.3
% 0.22/0.33  % (3288846)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.33  % (3288846)Time elapsed: 0.002 s
% 0.22/0.33  % (3288846)Peak memory usage: 12 MB
% 0.22/0.33  % (3288846)Instructions burned: 1 (million)
% 0.22/0.33  % (3288845)------------------------------
% 0.22/0.33  % (3288845)------------------------------
% 0.22/0.33  % (3288851)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.33  % (3288851)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.33  % (3288847)------------------------------
% 0.22/0.33  % (3288847)------------------------------
% 0.22/0.33  % (3288846)------------------------------
% 0.22/0.33  % (3288846)------------------------------
% 0.22/0.33  % (3288848)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=4005507530: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)
% 0.22/0.33  % (3288848)Refutation not found, incomplete strategy
% 0.22/0.33  % (3288848)------------------------------
% 0.22/0.33  % (3288848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33  % (3288848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.33  % (3288848)CaDiCaL version: 2.1.3
% 0.22/0.33  % (3288848)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.33  % (3288848)Time elapsed: 0.002 s
% 0.22/0.33  % (3288848)Peak memory usage: 12 MB
% 0.22/0.33  % (3288848)Instructions burned: 1 (million)
% 0.22/0.33  % (3288848)------------------------------
% 0.22/0.33  % (3288848)------------------------------
% 0.22/0.33  % (3288851)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=3949638644:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.33  % (3288851)Refutation not found, incomplete strategy
% 0.22/0.33  % (3288851)------------------------------
% 0.22/0.33  % (3288851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.33  % (3288851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36  % (3288851)CaDiCaL version: 2.1.3
% 0.22/0.36  % (3288851)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.36  % (3288851)Time elapsed: 0.001 s
% 0.22/0.36  % (3288851)Peak memory usage: 12 MB
% 0.22/0.36  % (3288851)Instructions burned: 1 (million)
% 0.22/0.36  % (3288851)------------------------------
% 0.22/0.36  % (3288851)------------------------------
% 0.22/0.36  % (3288850)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=411668706:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.36  % (3288850)Refutation not found, incomplete strategy
% 0.22/0.36  % (3288850)------------------------------
% 0.22/0.36  % (3288850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36  % (3288850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36  % (3288850)CaDiCaL version: 2.1.3
% 0.22/0.36  % (3288850)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.36  % (3288850)Time elapsed: 0.003 s
% 0.22/0.36  % (3288850)Peak memory usage: 12 MB
% 0.22/0.36  % (3288850)Instructions burned: 2 (million)
% 0.22/0.36  % (3288850)------------------------------
% 0.22/0.36  % (3288850)------------------------------
% 0.22/0.36  % (3288849)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3013090859:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.36  % (3288858)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.36  % (3288849)Refutation not found, incomplete strategy
% 0.22/0.36  % (3288849)------------------------------
% 0.22/0.36  % (3288849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36  % (3288849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36  % (3288849)CaDiCaL version: 2.1.3
% 0.22/0.36  % (3288849)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.36  % (3288849)Time elapsed: 0.002 s
% 0.22/0.36  % (3288849)Peak memory usage: 12 MB
% 0.22/0.36  % (3288849)Instructions burned: 1 (million)
% 0.22/0.36  % (3288849)------------------------------
% 0.22/0.36  % (3288849)------------------------------
% 0.22/0.36  % (3288857)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=470563031:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.36  % (3288856)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3640284867:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.36  % (3288858)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1517565907:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/0.36  % (3288861)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.36  % (3288861)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.36  % (3288860)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3139043565:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.22/0.36  % (3288856)Instruction limit reached! 
% 0.22/0.36  % (3288856)------------------------------
% 0.22/0.36  % (3288856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36  % (3288856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36  % (3288856)CaDiCaL version: 2.1.3
% 0.22/0.36  % (3288856)Termination reason: Instruction limit
% 0.22/0.36  % (3288856)Termination phase: Saturation
% 0.22/0.36  % (3288856)Time elapsed: 0.003 s
% 0.22/0.36  % (3288856)Peak memory usage: 12 MB
% 0.22/0.36  % (3288856)Instructions burned: 4 (million)
% 0.22/0.36  % (3288857)Instruction limit reached! 
% 0.22/0.36  % (3288857)------------------------------
% 0.22/0.36  % (3288857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36  % (3288857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36  % (3288857)CaDiCaL version: 2.1.3
% 0.22/0.36  % (3288857)Termination reason: Instruction limit
% 0.22/0.36  % (3288857)Termination phase: Saturation
% 0.22/0.36  % (3288857)Time elapsed: 0.004 s
% 0.22/0.36  % (3288857)Peak memory usage: 12 MB
% 0.22/0.36  % (3288857)Instructions burned: 5 (million)
% 0.22/0.36  % (3288860)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288860)------------------------------
% 0.22/0.37  % (3288860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288860)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288860)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288860)Time elapsed: 0.001 s
% 0.22/0.37  % (3288860)Peak memory usage: 12 MB
% 0.22/0.37  % (3288860)Instructions burned: 1 (million)
% 0.22/0.37  % (3288858)Instruction limit reached! 
% 0.22/0.37  % (3288858)------------------------------
% 0.22/0.37  % (3288858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288858)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288858)Termination reason: Instruction limit
% 0.22/0.37  % (3288858)Termination phase: Saturation
% 0.22/0.37  % (3288858)Time elapsed: 0.005 s
% 0.22/0.37  % (3288858)Peak memory usage: 12 MB
% 0.22/0.37  % (3288858)Instructions burned: 7 (million)
% 0.22/0.37  % (3288860)------------------------------
% 0.22/0.37  % (3288860)------------------------------
% 0.22/0.37  % (3288861)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2636811252:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.22/0.37  % (3288861)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288861)------------------------------
% 0.22/0.37  % (3288861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288861)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288861)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288861)Time elapsed: 0.003 s
% 0.22/0.37  % (3288861)Peak memory usage: 12 MB
% 0.22/0.37  % (3288861)Instructions burned: 5 (million)
% 0.22/0.37  % (3288861)------------------------------
% 0.22/0.37  % (3288861)------------------------------
% 0.22/0.37  % (3288863)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1666623784:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.22/0.37  % (3288865)lrs+10_1_si=on:cs=on:random_seed=3936722337:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.22/0.37  % (3288863)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288863)------------------------------
% 0.22/0.37  % (3288863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288863)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288863)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288863)Time elapsed: 0.004 s
% 0.22/0.37  % (3288863)Peak memory usage: 12 MB
% 0.22/0.37  % (3288863)Instructions burned: 3 (million)
% 0.22/0.37  % (3288870)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.22/0.37  % (3288865)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288865)------------------------------
% 0.22/0.37  % (3288865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288865)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288865)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288865)Time elapsed: 0.002 s
% 0.22/0.37  % (3288865)Peak memory usage: 12 MB
% 0.22/0.37  % (3288865)Instructions burned: 2 (million)
% 0.22/0.37  % (3288863)------------------------------
% 0.22/0.37  % (3288863)------------------------------
% 0.22/0.37  % (3288865)------------------------------
% 0.22/0.37  % (3288865)------------------------------
% 0.22/0.37  % (3288871)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=450026372:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.22/0.37  % (3288870)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3048184082:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.37  % (3288871)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288871)------------------------------
% 0.22/0.37  % (3288871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288871)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288871)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288871)Time elapsed: 0.001 s
% 0.22/0.37  % (3288871)Peak memory usage: 12 MB
% 0.22/0.37  % (3288871)Instructions burned: 1 (million)
% 0.22/0.37  % (3288870)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288870)------------------------------
% 0.22/0.37  % (3288870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288870)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288870)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288870)Time elapsed: 0.001 s
% 0.22/0.37  % (3288871)------------------------------
% 0.22/0.37  % (3288871)------------------------------
% 0.22/0.37  % (3288870)Peak memory usage: 12 MB
% 0.22/0.37  % (3288870)Instructions burned: 2 (million)
% 0.22/0.37  % (3288873)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3447645651:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.22/0.37  % (3288874)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2049542906:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.22/0.37  % (3288870)------------------------------
% 0.22/0.37  % (3288870)------------------------------
% 0.22/0.37  % (3288873)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288873)------------------------------
% 0.22/0.37  % (3288873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288874)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288874)------------------------------
% 0.22/0.37  % (3288874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288873)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288873)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288873)Time elapsed: 0.001 s
% 0.22/0.37  % (3288874)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288873)Peak memory usage: 12 MB
% 0.22/0.37  % (3288874)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288874)Time elapsed: 0.001 s
% 0.22/0.37  % (3288873)Instructions burned: 1 (million)
% 0.22/0.37  % (3288874)Peak memory usage: 12 MB
% 0.22/0.37  % (3288874)Instructions burned: 1 (million)
% 0.22/0.37  % (3288874)------------------------------
% 0.22/0.37  % (3288874)------------------------------
% 0.22/0.37  % (3288873)------------------------------
% 0.22/0.37  % (3288873)------------------------------
% 0.22/0.37  % (3288875)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3506717450:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.22/0.37  % (3288875)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288875)------------------------------
% 0.22/0.37  % (3288875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288875)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288875)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288875)Time elapsed: 0.001 s
% 0.22/0.37  % (3288875)Peak memory usage: 12 MB
% 0.22/0.37  % (3288875)Instructions burned: 1 (million)
% 0.22/0.37  % (3288875)------------------------------
% 0.22/0.37  % (3288875)------------------------------
% 0.22/0.37  % (3288884)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=923967071:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.37  % (3288885)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=431987305:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.22/0.37  % (3288886)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3219562864:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.22/0.37  % (3288887)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=780227207:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.22/0.37  % (3288884)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288884)------------------------------
% 0.22/0.37  % (3288884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288884)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288884)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288884)Time elapsed: 0.002 s
% 0.22/0.37  % (3288884)Peak memory usage: 12 MB
% 0.22/0.37  % (3288884)Instructions burned: 1 (million)
% 0.22/0.37  % (3288879)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=609965496:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.22/0.37  % (3288884)------------------------------
% 0.22/0.37  % (3288884)------------------------------
% 0.22/0.37  % (3288889)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.37  % (3288889)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.22/0.37  % (3288885)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288885)------------------------------
% 0.22/0.37  % (3288885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288885)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288885)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288885)Time elapsed: 0.002 s
% 0.22/0.37  % (3288885)Peak memory usage: 12 MB
% 0.22/0.37  % (3288885)Instructions burned: 3 (million)
% 0.22/0.37  % (3288887)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288887)------------------------------
% 0.22/0.37  % (3288887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288887)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288887)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288887)Time elapsed: 0.001 s
% 0.22/0.37  % (3288887)Peak memory usage: 12 MB
% 0.22/0.37  % (3288887)Instructions burned: 1 (million)
% 0.22/0.37  % (3288885)------------------------------
% 0.22/0.37  % (3288885)------------------------------
% 0.22/0.37  % (3288887)------------------------------
% 0.22/0.37  % (3288887)------------------------------
% 0.22/0.37  % (3288879)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288879)------------------------------
% 0.22/0.37  % (3288879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288879)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288879)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288879)Time elapsed: 0.002 s
% 0.22/0.37  % (3288879)Peak memory usage: 12 MB
% 0.22/0.37  % (3288879)Instructions burned: 2 (million)
% 0.22/0.37  % (3288879)------------------------------
% 0.22/0.37  % (3288879)------------------------------
% 0.22/0.37  % (3288889)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=2527893468:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.22/0.37  % (3288886) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3288840-3288886"...
% 0.22/0.37  % (3288886)...printing done.
% 0.22/0.37  % (3288889)Refutation not found, incomplete strategy
% 0.22/0.37  % (3288889)------------------------------
% 0.22/0.37  % (3288889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288889)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288889)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.37  % (3288889)Time elapsed: 0.003 s
% 0.22/0.37  % (3288889)Peak memory usage: 12 MB
% 0.22/0.37  % (3288886)Refutation found. Thanks to Tanya!
% 0.22/0.37  % SZS status Theorem for theBenchmark
% 0.22/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.37  % (3288886)------------------------------
% 0.22/0.37  % (3288886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.37  % (3288886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.37  % (3288886)CaDiCaL version: 2.1.3
% 0.22/0.37  % (3288886)Termination reason: Refutation
% 0.22/0.37  % (3288886)Time elapsed: 0.007 s
% 0.22/0.37  % (3288886)Peak memory usage: 12 MB
% 0.22/0.37  % (3288886)Instructions burned: 12 (million)
% 0.22/0.37  % (3288840)Success in time 0.116 s
% 0.22/0.37  % Vampire exiting
%------------------------------------------------------------------------------