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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL951^24 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 08:14:55 AM UTC 2026

% Result   : Theorem 0.20s 0.34s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (  11 unt;   0 typ;   1 def)
%            Number of atoms       :  338 (   6 equ;   0 cnn)
%            Maximal formula atoms :   29 (  19 avg)
%            Number of connectives :  404 (   7   ~;   0   |;   0   &; 396   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   35 (  32 usr;   5 con; 0-4 aty)
%            Number of variables   :   33 (   0 sgn   0   !;   0   ?;  33   :)

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

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

thf(func_def_0,type,
    mrel: mworld > mworld > $o ).

thf(func_def_1,type,
    mactual: mworld ).

thf(func_def_2,type,
    mlocal: ( mworld > $o ) > $o ).

thf(func_def_4,type,
    mnot: ( mworld > $o ) > mworld > $o ).

thf(func_def_5,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_6,type,
    mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_7,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_8,type,
    mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(func_def_9,type,
    mbox: ( mworld > $o ) > mworld > $o ).

thf(func_def_10,type,
    mdia: ( mworld > $o ) > mworld > $o ).

thf(func_def_11,type,
    eiw_di: $i > mworld > $o ).

thf(func_def_12,type,
    mforall_di: ( $i > mworld > $o ) > mworld > $o ).

thf(func_def_13,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(func_def_15,type,
    qmltpeq: $i > $i > mworld > $o ).

thf(func_def_16,type,
    in: $i > $i > mworld > $o ).

thf(func_def_17,type,
    empty: $i > mworld > $o ).

thf(func_def_18,type,
    singleton: $i > $i ).

thf(func_def_19,type,
    vAND: $o > $o > $o ).

thf(func_def_20,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_21,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_22,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_23,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_26,type,
    vNOT: $o > $o ).

thf(func_def_27,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_28,type,
    vIMP: $o > $o > $o ).

thf(func_def_29,type,
    vOR: $o > $o > $o ).

thf(func_def_30,type,
    vIFF: $o > $o > $o ).

thf(func_def_31,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_32,type,
    sK0: mworld > $i ).

thf(f25,conjecture,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X0: $i] :
            ( mbox
            @ ( mforall_di
              @ ^ [X1: $i] :
                  ( mbox
                  @ ( mnot
                    @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ ( singleton @ X1 ) ) ) ) )
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ empty_set ) ) ) )
                        @ ( mbox
                          @ ( mforall_di
                            @ ^ [X2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ X2 @ X0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_zfmisc_1) ).

thf(f26,negated_conjecture,
    ~ ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [X0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [X1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ ( singleton @ X1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [X2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ X2 @ X0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f25]) ).

thf(f27,axiom,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X0: $i] :
            ( mbox
            @ ( mforall_di
              @ ^ [X1: $i] :
                  ( mbox
                  @ ( mnot
                    @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ ( singleton @ X1 ) ) ) ) )
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ empty_set ) ) ) )
                        @ ( mbox
                          @ ( mforall_di
                            @ ^ [X2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ X2 @ X0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l45_zfmisc_1) ).

thf(f45,plain,
    ~ ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [X0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [X1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ ( singleton @ X1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [X2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ X2 @ X0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f26]) ).

thf(f46,plain,
    ( $true
   != ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f45]) ).

thf(f47,plain,
    ( mlocal
    @ ( mbox
      @ ( mforall_di
        @ ^ [X0: $i] :
            ( mbox
            @ ( mforall_di
              @ ^ [X1: $i] :
                  ( mbox
                  @ ( mnot
                    @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ ( singleton @ X1 ) ) ) ) )
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X0 @ empty_set ) ) ) )
                        @ ( mbox
                          @ ( mforall_di
                            @ ^ [X2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ X2 @ X0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f27]) ).

thf(f48,plain,
    ( $true
    = ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(fool_elimination,[],[f47]) ).

thf(f79,plain,
    ( $true
   != ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(flattening,[],[f46]) ).

thf(f87,plain,
    ( $true
    = ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f48]) ).

thf(f97,plain,
    ( $true
   != ( mlocal
      @ ( mbox
        @ ( mforall_di
          @ ^ [Y0: $i] :
              ( mbox
              @ ( mforall_di
                @ ^ [Y1: $i] :
                    ( mbox
                    @ ( mnot
                      @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                          @ ( mbox
                            @ ( mforall_di
                              @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf_transformation,[],[f79]) ).

thf(f123,definition,
    ( spl1_3
  <=> ( $true
      = ( mlocal
        @ ( mbox
          @ ( mforall_di
            @ ^ [Y0: $i] :
                ( mbox
                @ ( mforall_di
                  @ ^ [Y1: $i] :
                      ( mbox
                      @ ( mnot
                        @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ ( singleton @ Y1 ) ) ) ) )
                          @ ( mand @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y0 @ empty_set ) ) ) )
                            @ ( mbox
                              @ ( mforall_di
                                @ ^ [Y2: $i] : ( mbox @ ( mnot @ ( mand @ ( mbox @ ( in @ Y2 @ Y0 ) ) @ ( mbox @ ( mnot @ ( mbox @ ( qmltpeq @ Y2 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

thf(f126,plain,
    spl1_3,
    inference(avatar_split_clause,[],[f87,f123]) ).

thf(f217,plain,
    ~ spl1_3,
    inference(avatar_split_clause,[],[f97,f123]) ).

cnf(s3,plain,
    spl1_3,
    inference(sat_conversion,[],[f126]) ).

cnf(s22,plain,
    ~ spl1_3,
    inference(sat_conversion,[],[f217]) ).

cnf(s24,plain,
    $false,
    inference(rat,[],[s3,s22]) ).

thf(f223,plain,
    $false,
    inference(avatar_sat_refutation,[],[s24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL951^24 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18  % Computer : n014.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Tue Sep 29 10:52:37 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running higher-order theorem proving
% 0.08/0.23  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
% 0.20/0.33  % (2509174)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.33  % (2509179)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=406271739:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.33  % (2509180)lrs+10_16_si=on:nwc=1.5:random_seed=918098942:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.33  % (2509181)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4181590256:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.33  % (2509181)Instruction limit reached! 
% 0.20/0.33  % (2509181)------------------------------
% 0.20/0.33  % (2509181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (2509181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (2509181)CaDiCaL version: 2.1.3
% 0.20/0.33  % (2509181)Termination reason: Instruction limit
% 0.20/0.33  % (2509181)Termination phase: Property scanning
% 0.20/0.33  % (2509181)Time elapsed: 0.002 s
% 0.20/0.33  % (2509181)Peak memory usage: 10 MB
% 0.20/0.33  % (2509181)Instructions burned: 5 (million)
% 0.20/0.33  % (2509180)Instruction limit reached! 
% 0.20/0.33  % (2509180)------------------------------
% 0.20/0.33  % (2509180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (2509180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (2509180)CaDiCaL version: 2.1.3
% 0.20/0.33  % (2509180)Termination reason: Instruction limit
% 0.20/0.33  % (2509180)Termination phase: Saturation
% 0.20/0.33  % (2509180)Time elapsed: 0.009 s
% 0.20/0.33  % (2509180)Peak memory usage: 11 MB
% 0.20/0.33  % (2509180)Instructions burned: 19 (million)
% 0.20/0.33  % (2509179)Instruction limit reached! 
% 0.20/0.33  % (2509179)------------------------------
% 0.20/0.33  % (2509179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (2509183)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2042641452:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.33  % (2509179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (2509179)CaDiCaL version: 2.1.3
% 0.20/0.33  % (2509179)Termination reason: Instruction limit
% 0.20/0.33  % (2509179)Termination phase: Saturation
% 0.20/0.33  % (2509179)Time elapsed: 0.022 s
% 0.20/0.33  % (2509179)Peak memory usage: 13 MB
% 0.20/0.33  % (2509179)Instructions burned: 92 (million)
% 0.20/0.33  % (2509189)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2822476056:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.33  % (2509192)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.33  % (2509189)Instruction limit reached! 
% 0.20/0.33  % (2509189)------------------------------
% 0.20/0.33  % (2509189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (2509189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (2509189)CaDiCaL version: 2.1.3
% 0.20/0.33  % (2509189)Termination reason: Instruction limit
% 0.20/0.33  % (2509189)Termination phase: Property scanning
% 0.20/0.33  % (2509189)Time elapsed: 0.002 s
% 0.20/0.33  % (2509189)Peak memory usage: 10 MB
% 0.20/0.33  % (2509189)Instructions burned: 4 (million)
% 0.20/0.33  % (2509192)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3657801797:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.20/0.33  % (2509192)Instruction limit reached! 
% 0.20/0.33  % (2509192)------------------------------
% 0.20/0.33  % (2509192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (2509192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (2509192)CaDiCaL version: 2.1.3
% 0.20/0.33  % (2509192)Termination reason: Instruction limit
% 0.20/0.33  % (2509192)Termination phase: Property scanning
% 0.20/0.33  % (2509192)Time elapsed: 0.002 s
% 0.20/0.33  % (2509192)Peak memory usage: 10 MB
% 0.20/0.33  % (2509192)Instructions burned: 9 (million)
% 0.20/0.33  % (2509190)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=60389947:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.20/0.33  % (2509190)Instruction limit reached! 
% 0.20/0.33  % (2509190)------------------------------
% 0.20/0.33  % (2509190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (2509190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (2509190)CaDiCaL version: 2.1.3
% 0.20/0.33  % (2509190)Termination reason: Instruction limit
% 0.20/0.33  % (2509190)Termination phase: Property scanning
% 0.20/0.33  % (2509190)Time elapsed: 0.002 s
% 0.20/0.33  % (2509190)Peak memory usage: 10 MB
% 0.20/0.33  % (2509190)Instructions burned: 5 (million)
% 0.20/0.33  % (2509185)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.33  % (2509185)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
% 0.20/0.33  % (2509183)Instruction limit reached! 
% 0.20/0.33  % (2509183)------------------------------
% 0.20/0.33  % (2509183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (2509183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (2509183)CaDiCaL version: 2.1.3
% 0.20/0.33  % (2509183)Termination reason: Instruction limit
% 0.20/0.33  % (2509183)Termination phase: Saturation
% 0.20/0.33  % (2509183)Time elapsed: 0.023 s
% 0.20/0.33  % (2509183)Peak memory usage: 12 MB
% 0.20/0.33  % (2509183)Instructions burned: 24 (million)
% 0.20/0.33  % (2509182)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=2338162098: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)
% 0.20/0.33  % (2509184)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=433961835:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.33  % (2509185)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=4078924629:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.33  % (2509198)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=3052291742:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.20/0.33  % (2509196)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
% 0.20/0.33  % (2509196)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.20/0.33  % (2509195)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3968588243:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.20/0.33  % (2509196)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2180150792:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.20/0.33  % (2509195)Instruction limit reached! 
% 0.20/0.33  % (2509195)------------------------------
% 0.20/0.33  % (2509195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (2509195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (2509195)CaDiCaL version: 2.1.3
% 0.20/0.33  % (2509195)Termination reason: Instruction limit
% 0.20/0.33  % (2509195)Termination phase: Property scanning
% 0.20/0.33  % (2509195)Time elapsed: 0.006 s
% 0.20/0.33  % (2509195)Peak memory usage: 11 MB
% 0.20/0.33  % (2509195)Instructions burned: 15 (million)
% 0.20/0.33  % (2509182) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2509174-2509182"...
% 0.20/0.33  % (2509199)lrs+10_1_si=on:cs=on:random_seed=3338652428:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.20/0.33  % (2509196)Instruction limit reached! 
% 0.20/0.33  % (2509196)------------------------------
% 0.20/0.33  % (2509196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33  % (2509196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33  % (2509196)CaDiCaL version: 2.1.3
% 0.20/0.33  % (2509196)Termination reason: Instruction limit
% 0.20/0.33  % (2509196)Termination phase: Saturation
% 0.20/0.33  % (2509196)Time elapsed: 0.012 s
% 0.20/0.34  % (2509196)Peak memory usage: 11 MB
% 0.20/0.34  % (2509196)Instructions burned: 29 (million)
% 0.20/0.34  % (2509182)...printing done.
% 0.20/0.34  % (2509199)Instruction limit reached! 
% 0.20/0.34  % (2509199)------------------------------
% 0.20/0.34  % (2509199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34  % (2509199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34  % (2509199)CaDiCaL version: 2.1.3
% 0.20/0.34  % (2509199)Termination reason: Instruction limit
% 0.20/0.34  % (2509199)Termination phase: Property scanning
% 0.20/0.34  % (2509199)Time elapsed: 0.004 s
% 0.20/0.34  % (2509199)Peak memory usage: 10 MB
% 0.20/0.34  % (2509199)Instructions burned: 9 (million)
% 0.20/0.34  % (2509182)Refutation found. Thanks to Tanya!
% 0.20/0.34  % SZS status Theorem for theBenchmark
% 0.20/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.34  % (2509182)------------------------------
% 0.20/0.34  % (2509182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34  % (2509182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34  % (2509182)CaDiCaL version: 2.1.3
% 0.20/0.34  % (2509182)Termination reason: Refutation
% 0.20/0.34  % (2509182)Time elapsed: 0.019 s
% 0.20/0.34  % (2509182)Peak memory usage: 13 MB
% 0.20/0.34  % (2509182)Instructions burned: 15 (million)
% 0.20/0.34  % (2509174)Success in time 0.1 s
% 0.20/0.34  % Vampire exiting
%------------------------------------------------------------------------------