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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET814+4 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 : Tue Sep 29 12:44:40 PM UTC 2026

% Result   : Theorem 33.59s 5.83s
% Output   : Refutation 33.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   40 (   7 unt;   1 def)
%            Number of atoms       :  146 (   2 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  170 (  64   ~;  62   |;  35   &)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   74 (  65   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X0,sum(X1))
    <=> ? [X2] :
          ( member(X2,X1)
          & member(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',sum) ).

fof(f12,axiom,
    ! [X0] :
      ( member(X0,on)
    <=> ( set(X0)
        & strict_well_order(member_predicate,X0)
        & ! [X1] :
            ( member(X1,X0)
           => subset(X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+4.ax',ordinal_number) ).

fof(f21,conjecture,
    ! [X0] :
      ( member(X0,on)
     => subset(sum(X0),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thV14) ).

fof(f22,negated_conjecture,
    ~ ! [X0] :
        ( member(X0,on)
       => subset(sum(X0),X0) ),
    inference(negated_conjecture,[status(cth)],[f21]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f26,plain,
    ! [X0] :
      ( member(X0,on)
    <=> ( set(X0)
        & strict_well_order(member_predicate,X0)
        & ! [X1] :
            ( subset(X1,X0)
            | ~ member(X1,X0) ) ) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f36,plain,
    ? [X0] :
      ( ~ subset(sum(X0),X0)
      & member(X0,on) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f39]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK1(X0,X1),X1)
          & member(sK1(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f40]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X0,X2) ) )
      & ( ? [X2] :
            ( member(X2,X1)
            & member(X0,X2) )
        | ~ member(X0,sum(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X0,X2) ) )
      & ( ? [X3] :
            ( member(X3,X1)
            & member(X0,X3) )
        | ~ member(X0,sum(X1)) ) ),
    inference(rectify,[],[f52]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X0,X2) ) )
      & ( ( member(sK2(X0,X1),X1)
          & member(X0,sK2(X0,X1)) )
        | ~ member(X0,sum(X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1))],[f53]) ).

fof(f58,plain,
    ! [X0] :
      ( ( member(X0,on)
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & member(X1,X0) ) )
      & ( ( set(X0)
          & strict_well_order(member_predicate,X0)
          & ! [X1] :
              ( subset(X1,X0)
              | ~ member(X1,X0) ) )
        | ~ member(X0,on) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f59,plain,
    ! [X0] :
      ( ( member(X0,on)
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & member(X1,X0) ) )
      & ( ( set(X0)
          & strict_well_order(member_predicate,X0)
          & ! [X1] :
              ( subset(X1,X0)
              | ~ member(X1,X0) ) )
        | ~ member(X0,on) ) ),
    inference(flattening,[],[f58]) ).

fof(f60,plain,
    ! [X0] :
      ( ( member(X0,on)
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & member(X1,X0) ) )
      & ( ( set(X0)
          & strict_well_order(member_predicate,X0)
          & ! [X2] :
              ( subset(X2,X0)
              | ~ member(X2,X0) ) )
        | ~ member(X0,on) ) ),
    inference(rectify,[],[f59]) ).

fof(f61,plain,
    ! [X0] :
      ( ( member(X0,on)
        | ~ set(X0)
        | ~ strict_well_order(member_predicate,X0)
        | ( ~ subset(sK4(X0),X0)
          & member(sK4(X0),X0) ) )
      & ( ( set(X0)
          & strict_well_order(member_predicate,X0)
          & ! [X2] :
              ( subset(X2,X0)
              | ~ member(X2,X0) ) )
        | ~ member(X0,on) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f60]) ).

fof(f81,plain,
    ( ~ subset(sum(sK14),sK14)
    & member(sK14,on) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X0,sK14)],[f36]) ).

fof(f82,plain,
    ! [X3,X0,X1] :
      ( ~ member(X3,X0)
      | member(X3,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( member(sK1(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( ~ member(sK1(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( member(X0,sK2(X0,X1))
      | ~ member(X0,sum(X1)) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( member(sK2(X0,X1),X1)
      | ~ member(X0,sum(X1)) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f108,plain,
    ! [X2,X0] :
      ( ~ member(X2,X0)
      | subset(X2,X0)
      | ~ member(X0,on) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f145,plain,
    member(sK14,on),
    inference(cnf_transformation,[],[f81]) ).

fof(f146,plain,
    ~ subset(sum(sK14),sK14),
    inference(cnf_transformation,[],[f81]) ).

fof(f150,definition,
    sF15 = sum(sK14),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f151,plain,
    sum(sK14) = sF15,
    inference(reorient_equations,[],[f150]) ).

fof(f152,plain,
    ~ subset(sF15,sK14),
    inference(definition_folding,[],[f146,f151]) ).

fof(f224,plain,
    ! [X2,X0,X1] :
      ( ~ subset(sK2(X0,X1),X2)
      | member(X0,X2)
      | ~ member(X0,sum(X1)) ),
    inference(resolution,[],[f102,f82]) ).

fof(f266,plain,
    ! [X0,X1] :
      ( subset(sK2(X0,X1),X1)
      | ~ member(X1,on)
      | ~ member(X0,sum(X1)) ),
    inference(resolution,[],[f108,f103]) ).

fof(f2022,plain,
    ! [X0,X1] :
      ( ~ member(X0,on)
      | ~ member(X1,sum(X0))
      | member(X1,X0)
      | ~ member(X1,sum(X0)) ),
    inference(resolution,[],[f266,f224]) ).

fof(f2031,plain,
    ! [X0,X1] :
      ( ~ member(X1,sum(X0))
      | ~ member(X0,on)
      | member(X1,X0) ),
    inference(duplicate_literal_removal,[],[f2022]) ).

fof(f16473,plain,
    ! [X0] :
      ( ~ member(X0,sF15)
      | ~ member(sK14,on)
      | member(X0,sK14) ),
    inference(superposition,[],[f2031,f151]) ).

fof(f16474,plain,
    ! [X0] :
      ( ~ member(X0,sF15)
      | member(X0,sK14) ),
    inference(forward_subsumption_resolution,[],[f16473,f145]) ).

fof(f16476,plain,
    ! [X0] :
      ( member(sK1(sF15,X0),sK14)
      | subset(sF15,X0) ),
    inference(resolution,[],[f16474,f83]) ).

fof(f17897,plain,
    ( subset(sF15,sK14)
    | subset(sF15,sK14) ),
    inference(resolution,[],[f16476,f84]) ).

fof(f17927,plain,
    subset(sF15,sK14),
    inference(duplicate_literal_removal,[],[f17897]) ).

fof(f17936,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f17927,f152]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET814+4 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36  % Computer : n003.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 28 02:55:42 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39  Running first-order model finding
% 0.09/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.54/2.61  % (1138680)Will run a generic schedule for satisfiability detection.
% 15.54/2.61  % (1138690)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3746071584:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.54/2.61  % (1138686)% WARNING: option uhcvi not known.
% 15.54/2.61  % (1138685)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=351015758_2999 on theBenchmark for (2999ds/0Mi)
% 15.54/2.61  % (1138687)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=671821305:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.54/2.61  % (1138688)dis+10_1_sil=32000:sp=arity:random_seed=2179670534:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.54/2.61  % (1138689)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3081317839:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.54/2.61  % (1138691)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3867214279:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.54/2.61  % (1138686)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=916633364:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.54/2.61  % TRYING [1]
% 15.54/2.61  % TRYING [2]
% 15.54/2.61  % TRYING [3]
% 15.54/2.61  % TRYING [4]
% 15.54/2.61  % TRYING [5]
% 15.54/2.61  % TRYING [6]
% 15.54/2.61  % (1138690)Instruction limit reached! 
% 15.54/2.61  % (1138690)------------------------------
% 15.54/2.61  % (1138690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.54/2.61  % (1138690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.54/2.61  % (1138690)CaDiCaL version: 2.1.3
% 15.54/2.61  % (1138690)Termination reason: Instruction limit
% 15.54/2.61  % (1138690)Termination phase: Saturation
% 15.54/2.61  % (1138690)Time elapsed: 0.048 s
% 15.54/2.61  % (1138690)Peak memory usage: 14 MB
% 15.54/2.61  % (1138690)Instructions burned: 134 (million)
% 15.54/2.61  % (1138699)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=137127145:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.54/2.61  % TRYING [1]
% 15.54/2.61  % TRYING [2]
% 15.54/2.61  % TRYING [3]
% 15.54/2.61  % TRYING [4]
% 15.54/2.61  % (1138688)Instruction limit reached! 
% 15.54/2.61  % (1138688)------------------------------
% 15.54/2.61  % (1138688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.54/2.61  % (1138688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.54/2.61  % (1138688)CaDiCaL version: 2.1.3
% 15.54/2.61  % (1138688)Termination reason: Instruction limit
% 15.54/2.61  % (1138688)Termination phase: Saturation
% 15.54/2.61  % (1138688)Time elapsed: 0.068 s
% 15.54/2.61  % (1138688)Peak memory usage: 12 MB
% 15.54/2.61  % (1138688)Instructions burned: 104 (million)
% 15.54/2.61  % TRYING [7]
% 15.54/2.61  % TRYING [5]
% 15.54/2.61  % (1138689)Instruction limit reached! 
% 15.54/2.61  % (1138689)------------------------------
% 15.54/2.61  % (1138689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.54/2.61  % (1138689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.54/2.61  % (1138689)CaDiCaL version: 2.1.3
% 15.54/2.61  % (1138689)Termination reason: Instruction limit
% 15.54/2.61  % (1138689)Termination phase: Saturation
% 15.54/2.61  % (1138689)Time elapsed: 0.072 s
% 15.54/2.61  % (1138689)Peak memory usage: 12 MB
% 15.54/2.61  % (1138689)Instructions burned: 117 (million)
% 15.54/2.61  % (1138701)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=225766679:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.54/2.61  % (1138702)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4012445799:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.54/2.61  % TRYING [6]
% 15.54/2.61  % (1138691)Instruction limit reached! 
% 15.54/2.61  % (1138691)------------------------------
% 15.54/2.61  % (1138691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.54/2.61  % (1138691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.54/2.61  % (1138691)CaDiCaL version: 2.1.3
% 15.54/2.61  % (1138691)Termination reason: Instruction limit
% 15.54/2.61  % (1138691)Termination phase: Saturation
% 15.54/2.61  % (1138691)Time elapsed: 0.106 s
% 15.54/2.61  % (1138691)Peak memory usage: 13 MB
% 15.54/2.61  % (1138691)Instructions burned: 159 (million)
% 15.54/2.61  % (1138705)ott-21_1_sil=16000:fs=off:random_seed=3520520007:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.54/2.61  % TRYING [8]
% 15.54/2.61  % (1138701)Instruction limit reached! 
% 15.54/2.61  % (1138701)------------------------------
% 15.54/2.61  % (1138701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138701)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138701)Termination reason: Instruction limit
% 33.59/5.83  % (1138701)Termination phase: Saturation
% 33.59/5.83  % (1138701)Time elapsed: 0.089 s
% 33.59/5.83  % (1138701)Peak memory usage: 14 MB
% 33.59/5.83  % (1138701)Instructions burned: 132 (million)
% 33.59/5.83  % TRYING [7]
% 33.59/5.83  % (1138707)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=679085218:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 33.59/5.83  % (1138699)Instruction limit reached! 
% 33.59/5.83  % (1138699)------------------------------
% 33.59/5.83  % (1138699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138699)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138699)Termination reason: Instruction limit
% 33.59/5.83  % (1138699)Termination phase: Finite model building constraint generation
% 33.59/5.83  % (1138699)Time elapsed: 0.147 s
% 33.59/5.83  % (1138699)Peak memory usage: 25 MB
% 33.59/5.83  % (1138699)Instructions burned: 716 (million)
% 33.59/5.83  % (1138709)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=700778200:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 33.59/5.83  % TRYING [1]
% 33.59/5.83  % TRYING [2]
% 33.59/5.83  % TRYING [3]
% 33.59/5.83  % TRYING [4]
% 33.59/5.83  % (1138705)Instruction limit reached! 
% 33.59/5.83  % (1138705)------------------------------
% 33.59/5.83  % (1138705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138705)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138705)Termination reason: Instruction limit
% 33.59/5.83  % (1138705)Termination phase: Saturation
% 33.59/5.83  % (1138705)Time elapsed: 0.098 s
% 33.59/5.83  % (1138705)Peak memory usage: 13 MB
% 33.59/5.83  % (1138705)Instructions burned: 180 (million)
% 33.59/5.83  % TRYING [5]
% 33.59/5.83  % (1138711)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2668246017:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 33.59/5.83  % TRYING [6]
% 33.59/5.83  % TRYING [7]
% 33.59/5.83  % TRYING [9]
% 33.59/5.83  % TRYING [8]
% 33.59/5.83  % (1138709)Instruction limit reached! 
% 33.59/5.83  % (1138709)------------------------------
% 33.59/5.83  % (1138709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138709)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138709)Termination reason: Instruction limit
% 33.59/5.83  % (1138709)Termination phase: Finite model building constraint generation
% 33.59/5.83  % (1138709)Time elapsed: 0.173 s
% 33.59/5.83  % (1138709)Peak memory usage: 19 MB
% 33.59/5.83  % (1138709)Instructions burned: 867 (million)
% 33.59/5.83  % (1138713)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3784458931:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 33.59/5.83  % TRYING [14]
% 33.59/5.83  % (1138707)Instruction limit reached! 
% 33.59/5.83  % (1138707)------------------------------
% 33.59/5.83  % (1138707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138707)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138707)Termination reason: Instruction limit
% 33.59/5.83  % (1138707)Termination phase: Saturation
% 33.59/5.83  % (1138707)Time elapsed: 0.301 s
% 33.59/5.83  % (1138707)Peak memory usage: 15 MB
% 33.59/5.83  % (1138707)Instructions burned: 477 (million)
% 33.59/5.83  % (1138702)Instruction limit reached! 
% 33.59/5.83  % (1138702)------------------------------
% 33.59/5.83  % (1138702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138702)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138702)Termination reason: Instruction limit
% 33.59/5.83  % (1138702)Termination phase: Saturation
% 33.59/5.83  % (1138702)Time elapsed: 0.420 s
% 33.59/5.83  % (1138702)Peak memory usage: 18 MB
% 33.59/5.83  % (1138702)Instructions burned: 685 (million)
% 33.59/5.83  % (1138715)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4220604293:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 33.59/5.83  % (1138716)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1996918741:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 33.59/5.83  % (1138713)Instruction limit reached! 
% 33.59/5.83  % (1138713)------------------------------
% 33.59/5.83  % (1138713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138713)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138713)Termination reason: Instruction limit
% 33.59/5.83  % (1138713)Termination phase: Finite model building constraint generation
% 33.59/5.83  % (1138713)Time elapsed: 0.210 s
% 33.59/5.83  % (1138713)Peak memory usage: 71 MB
% 33.59/5.83  % (1138713)Instructions burned: 889 (million)
% 33.59/5.83  % (1138719)fmb+10_1_sil=64000:random_seed=1166631593:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 33.59/5.83  % TRYING [1]
% 33.59/5.83  % TRYING [2]
% 33.59/5.83  % TRYING [3]
% 33.59/5.83  % TRYING [4]
% 33.59/5.83  % TRYING [5]
% 33.59/5.83  % TRYING [6]
% 33.59/5.83  % TRYING [7]
% 33.59/5.83  % TRYING [8]
% 33.59/5.83  % TRYING [9]
% 33.59/5.83  % (1138715)Instruction limit reached! 
% 33.59/5.83  % (1138715)------------------------------
% 33.59/5.83  % (1138715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138715)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138715)Termination reason: Instruction limit
% 33.59/5.83  % (1138715)Termination phase: Saturation
% 33.59/5.83  % (1138715)Time elapsed: 0.407 s
% 33.59/5.83  % (1138715)Peak memory usage: 24 MB
% 33.59/5.83  % (1138715)Instructions burned: 693 (million)
% 33.59/5.83  % (1138721)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2286980752:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 33.59/5.83  % TRYING [20]
% 33.59/5.83  % TRYING [10]
% 33.59/5.83  % (1138711)Instruction limit reached! 
% 33.59/5.83  % (1138711)------------------------------
% 33.59/5.83  % (1138711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138711)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138711)Termination reason: Instruction limit
% 33.59/5.83  % (1138711)Termination phase: Saturation
% 33.59/5.83  % (1138711)Time elapsed: 0.717 s
% 33.59/5.83  % (1138711)Peak memory usage: 27 MB
% 33.59/5.83  % (1138711)Instructions burned: 1179 (million)
% 33.59/5.83  % (1138723)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3761009058:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 33.59/5.83  % TRYING [8]
% 33.59/5.83  % (1138716)Instruction limit reached! 
% 33.59/5.83  % (1138716)------------------------------
% 33.59/5.83  % (1138716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138716)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138716)Termination reason: Instruction limit
% 33.59/5.83  % (1138716)Termination phase: Saturation
% 33.59/5.83  % (1138716)Time elapsed: 0.472 s
% 33.59/5.83  % (1138716)Peak memory usage: 20 MB
% 33.59/5.83  % (1138716)Instructions burned: 879 (million)
% 33.59/5.83  % (1138725)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1444400655:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 33.59/5.83  % TRYING [10]
% 33.59/5.83  % TRYING [9]
% 33.59/5.83  % (1138723)Instruction limit reached! 
% 33.59/5.83  % (1138723)------------------------------
% 33.59/5.83  % (1138723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138723)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138723)Termination reason: Instruction limit
% 33.59/5.83  % (1138723)Termination phase: Finite model building SAT solving
% 33.59/5.83  % (1138723)Time elapsed: 0.436 s
% 33.59/5.83  % (1138723)Peak memory usage: 37 MB
% 33.59/5.83  % (1138723)Instructions burned: 921 (million)
% 33.59/5.83  % (1138727)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1337989479:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 33.59/5.83  % TRYING [11]
% 33.59/5.83  % (1138727)Instruction limit reached! 
% 33.59/5.83  % (1138727)------------------------------
% 33.59/5.83  % (1138727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138727)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138727)Termination reason: Instruction limit
% 33.59/5.83  % (1138727)Termination phase: Saturation
% 33.59/5.83  % (1138727)Time elapsed: 0.727 s
% 33.59/5.83  % (1138727)Peak memory usage: 26 MB
% 33.59/5.83  % (1138727)Instructions burned: 1476 (million)
% 33.59/5.83  % (1138729)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4155267751:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 33.59/5.83  % TRYING [77]
% 33.59/5.83  % TRYING [12]
% 33.59/5.83  % TRYING [11]
% 33.59/5.83  % (1138725)Instruction limit reached! 
% 33.59/5.83  % (1138725)------------------------------
% 33.59/5.83  % (1138725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138725)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138725)Termination reason: Instruction limit
% 33.59/5.83  % (1138725)Termination phase: Saturation
% 33.59/5.83  % (1138725)Time elapsed: 2.745 s
% 33.59/5.83  % (1138725)Peak memory usage: 37 MB
% 33.59/5.83  % (1138725)Instructions burned: 5131 (million)
% 33.59/5.83  % (1138731)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=68896894:fmbsr=2.30978:i=2174_2961 on theBenchmark for (2961ds/2174Mi)
% 33.59/5.83  % TRYING [16]
% 33.59/5.83  % (1138731)Instruction limit reached! 
% 33.59/5.83  % (1138731)------------------------------
% 33.59/5.83  % (1138731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138731)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138731)Termination reason: Instruction limit
% 33.59/5.83  % (1138731)Termination phase: Finite model building constraint generation
% 33.59/5.83  % (1138731)Time elapsed: 0.737 s
% 33.59/5.83  % (1138731)Peak memory usage: 135 MB
% 33.59/5.83  % (1138731)Instructions burned: 2177 (million)
% 33.59/5.83  % (1138729)Instruction limit reached! 
% 33.59/5.83  % (1138729)------------------------------
% 33.59/5.83  % (1138729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138729)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138729)Termination reason: Instruction limit
% 33.59/5.83  % (1138729)Termination phase: Finite model building constraint generation
% 33.59/5.83  % (1138729)Time elapsed: 2.346 s
% 33.59/5.83  % (1138729)Peak memory usage: 509 MB
% 33.59/5.83  % (1138729)Instructions burned: 6324 (million)
% 33.59/5.83  % (1138733)ott-2_1_sil=16000:newcnf=on:random_seed=3624895310:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2954 on theBenchmark for (2954ds/869Mi)
% 33.59/5.83  % (1138735)ott+10_1_sil=32000:tgt=ground:random_seed=3811860714:i=5114:av=off_2953 on theBenchmark for (2953ds/5114Mi)
% 33.59/5.83  % TRYING [13]
% 33.59/5.83  % (1138733)Instruction limit reached! 
% 33.59/5.83  % (1138733)------------------------------
% 33.59/5.83  % (1138733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138733)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138733)Termination reason: Instruction limit
% 33.59/5.83  % (1138733)Termination phase: Saturation
% 33.59/5.83  % (1138733)Time elapsed: 0.554 s
% 33.59/5.83  % (1138733)Peak memory usage: 15 MB
% 33.59/5.83  % (1138733)Instructions burned: 869 (million)
% 33.59/5.83  % (1138737)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3493628305:i=54282_2948 on theBenchmark for (2948ds/54282Mi)
% 33.59/5.83  % TRYING [1]
% 33.59/5.83  % TRYING [2]
% 33.59/5.83  % TRYING [3]
% 33.59/5.83  % TRYING [4]
% 33.59/5.83  % TRYING [5]
% 33.59/5.83  % TRYING [6]
% 33.59/5.83  % TRYING [7]
% 33.59/5.83  % TRYING [8]
% 33.59/5.83  % (1138735) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1138680-1138735"...
% 33.59/5.83  % (1138735)...printing done.
% 33.59/5.83  % (1138735)Refutation found. Thanks to Tanya!
% 33.59/5.83  % SZS status Theorem for theBenchmark
% 33.59/5.83  % SZS output start Proof for theBenchmark
% See solution above
% 33.59/5.83  % (1138735)------------------------------
% 33.59/5.83  % (1138735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.83  % (1138735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.83  % (1138735)CaDiCaL version: 2.1.3
% 33.59/5.83  % (1138735)Termination reason: Refutation
% 33.59/5.83  % (1138735)Time elapsed: 0.687 s
% 33.59/5.83  % (1138735)Peak memory usage: 25 MB
% 33.59/5.83  % (1138735)Instructions burned: 1094 (million)
% 33.59/5.83  % (1138680)Success in time 5.426 s
% 33.59/5.83  % Vampire exiting
%------------------------------------------------------------------------------