↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEV606+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 12:59:33 PM UTC 2026

% Result   : Theorem 25.52s 4.96s
% Output   : Refutation 25.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (  14 unt;   0 def)
%            Number of atoms       :   72 (   4 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   73 (  27   ~;  22   |;  10   &)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   26 (  22   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1138,axiom,
    ! [X0] :
      ( cCoq_2eNumbers_2eBinNums_2eZ___24t(X0)
     => ! [X1] :
          ( cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)
         => ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1))
           => ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X0),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1)))
             => p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X0,X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Coq.ZArith.BinInt.Z.square_le_simpl_nonneg') ).

fof(f1374,axiom,
    ! [X0,X1] : happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,X0),X1) = cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_Coq.ZArith.BinIntDef.Z.mul_$a2') ).

fof(f1539,axiom,
    ! [X0,X1] : happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,X0),X1) = cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_Coq.ZArith.BinInt.Z.le_$a2') ).

fof(f1728,conjecture,
    ! [X0] :
      ( cCoq_2eNumbers_2eBinNums_2eZ___24t(X0)
     => ! [X1] :
          ( cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)
         => ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X0))
           => ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1))
             => ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X0)))
               => p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X1,X0)) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).

fof(f1729,negated_conjecture,
    ~ ! [X0] :
        ( cCoq_2eNumbers_2eBinNums_2eZ___24t(X0)
       => ! [X1] :
            ( cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)
           => ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X0))
             => ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1))
               => ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X0)))
                 => p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X1,X0)) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1728]) ).

fof(f3196,plain,
    ! [X0] :
      ( ! [X1] :
          ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X0,X1))
          | ~ p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X0),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1)))
          | ~ p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1))
          | ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) )
      | ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X0) ),
    inference(ennf_transformation,[],[f1138]) ).

fof(f3197,plain,
    ! [X0] :
      ( ! [X1] :
          ( p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X0,X1))
          | ~ p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X0),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1)))
          | ~ p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1))
          | ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) )
      | ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X0) ),
    inference(flattening,[],[f3196]) ).

fof(f3593,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X1,X0))
          & p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X0)))
          & p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1))
          & p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X0))
          & cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) )
      & cCoq_2eNumbers_2eBinNums_2eZ___24t(X0) ),
    inference(ennf_transformation,[],[f1729]) ).

fof(f3594,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X1,X0))
          & p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X0)))
          & p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1))
          & p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X0))
          & cCoq_2eNumbers_2eBinNums_2eZ___24t(X1) )
      & cCoq_2eNumbers_2eBinNums_2eZ___24t(X0) ),
    inference(flattening,[],[f3593]) ).

fof(f7219,plain,
    ! [X0,X1] :
      ( ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X0)
      | ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)
      | ~ p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,X1))
      | ~ p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X0),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X1,X1)))
      | p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X0,X1)) ),
    inference(cnf_transformation,[],[f3197]) ).

fof(f7516,plain,
    ! [X0,X1] : cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(X0,X1) = happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,X0),X1),
    inference(cnf_transformation,[],[f1374]) ).

fof(f7704,plain,
    ! [X0,X1] : cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(X0,X1) = happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,X0),X1),
    inference(cnf_transformation,[],[f1539]) ).

fof(f8037,plain,
    cCoq_2eNumbers_2eBinNums_2eZ___24t(sK639),
    inference(cnf_transformation,[],[f3594]) ).

fof(f8038,plain,
    p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eNumbers_2eBinNums_2eZ0,sK638)),
    inference(cnf_transformation,[],[f3594]) ).

fof(f8040,plain,
    p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK639,sK639),cCoq_2eZArith_2eBinIntDef_2eZ_2emul___24a2(sK638,sK638))),
    inference(cnf_transformation,[],[f3594]) ).

fof(f8041,plain,
    ~ p(cCoq_2eZArith_2eBinInt_2eZ_2ele___24a2(sK639,sK638)),
    inference(cnf_transformation,[],[f3594]) ).

fof(f8042,plain,
    cCoq_2eNumbers_2eBinNums_2eZ___24t(sK638),
    inference(cnf_transformation,[],[f3594]) ).

fof(f10621,plain,
    ! [X0,X1] :
      ( ~ p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,X0),X0)),happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,X1),X1)))
      | ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X1)
      | ~ p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,cCoq_2eNumbers_2eBinNums_2eZ0),X1))
      | ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(X0)
      | p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,X0),X1)) ),
    inference(definition_unfolding,[],[f7219,f7704,f7704,f7516,f7516,f7704]) ).

fof(f10919,plain,
    ~ p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,sK639),sK638)),
    inference(definition_unfolding,[],[f8041,f7704]) ).

fof(f10920,plain,
    p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,sK639),sK639)),happ(happ(cCoq_2eZArith_2eBinIntDef_2eZ_2emul,sK638),sK638))),
    inference(definition_unfolding,[],[f8040,f7704,f7516,f7516]) ).

fof(f10922,plain,
    p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,cCoq_2eNumbers_2eBinNums_2eZ0),sK638)),
    inference(definition_unfolding,[],[f8038,f7704]) ).

fof(f123113,plain,
    ( ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(sK638)
    | ~ p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,cCoq_2eNumbers_2eBinNums_2eZ0),sK638))
    | ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(sK639)
    | p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,sK639),sK638)) ),
    inference(resolution,[],[f10621,f10920]) ).

fof(f123124,plain,
    ( ~ p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,cCoq_2eNumbers_2eBinNums_2eZ0),sK638))
    | ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(sK639)
    | p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,sK639),sK638)) ),
    inference(forward_subsumption_resolution,[],[f123113,f8042]) ).

fof(f123125,plain,
    ( ~ cCoq_2eNumbers_2eBinNums_2eZ___24t(sK639)
    | p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,sK639),sK638)) ),
    inference(forward_subsumption_resolution,[],[f123124,f10922]) ).

fof(f123126,plain,
    p(happ(happ(cCoq_2eZArith_2eBinInt_2eZ_2ele,sK639),sK638)),
    inference(forward_subsumption_resolution,[],[f123125,f8037]) ).

fof(f123127,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f123126,f10919]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEV606+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37  % Computer : n003.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 06:43:27 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41  Running first-order model finding
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.87/2.62  % (1387629)Will run a generic schedule for satisfiability detection.
% 14.87/2.62  % (1387634)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3621422780_2999 on theBenchmark for (2999ds/0Mi)
% 14.87/2.62  % (1387635)% WARNING: option uhcvi not known.
% 14.87/2.62  % (1387635)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2585984870:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.87/2.62  % (1387636)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2708511252:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.87/2.62  % (1387637)dis+10_1_sil=32000:sp=arity:random_seed=2336559339:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.87/2.62  % (1387638)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1578918100:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.87/2.62  % (1387639)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=777729305:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.87/2.62  % (1387640)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=977303600:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.87/2.62  % (1387637)Instruction limit reached! 
% 14.87/2.62  % (1387637)------------------------------
% 14.87/2.62  % (1387637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.87/2.62  % (1387637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.62  % (1387637)CaDiCaL version: 2.1.3
% 14.87/2.62  % (1387637)Termination reason: Instruction limit
% 14.87/2.62  % (1387637)Termination phase: Function definition elimination
% 14.87/2.62  % (1387637)Time elapsed: 0.055 s
% 14.87/2.62  % (1387637)Peak memory usage: 16 MB
% 14.87/2.62  % (1387637)Instructions burned: 103 (million)
% 14.87/2.62  % (1387638)Instruction limit reached! 
% 14.87/2.62  % (1387638)------------------------------
% 14.87/2.62  % (1387638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.87/2.62  % (1387638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.62  % (1387638)CaDiCaL version: 2.1.3
% 14.87/2.62  % (1387638)Termination reason: Instruction limit
% 14.87/2.62  % (1387638)Termination phase: Property scanning
% 14.87/2.62  % (1387638)Time elapsed: 0.062 s
% 14.87/2.62  % (1387638)Peak memory usage: 16 MB
% 14.87/2.62  % (1387638)Instructions burned: 118 (million)
% 14.87/2.62  % (1387648)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3443110074:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 14.87/2.62  % (1387639)Instruction limit reached! 
% 14.87/2.62  % (1387639)------------------------------
% 14.87/2.62  % (1387639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.87/2.62  % (1387639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.62  % (1387639)CaDiCaL version: 2.1.3
% 14.87/2.62  % (1387639)Termination reason: Instruction limit
% 14.87/2.62  % (1387639)Termination phase: Property scanning
% 14.87/2.62  % (1387639)Time elapsed: 0.076 s
% 14.87/2.62  % (1387639)Peak memory usage: 17 MB
% 14.87/2.62  % (1387639)Instructions burned: 133 (million)
% 14.87/2.62  % (1387640)Instruction limit reached! 
% 14.87/2.62  % (1387640)------------------------------
% 14.87/2.62  % (1387640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.87/2.62  % (1387640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.87/2.62  % (1387640)CaDiCaL version: 2.1.3
% 14.87/2.62  % (1387640)Termination reason: Instruction limit
% 14.87/2.62  % (1387640)Termination phase: Property scanning
% 14.87/2.62  % (1387640)Time elapsed: 0.080 s
% 14.87/2.62  % (1387640)Peak memory usage: 17 MB
% 14.87/2.62  % (1387640)Instructions burned: 159 (million)
% 14.87/2.62  % (1387649)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2977870755:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.87/2.62  % (1387651)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=2655904771:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.87/2.62  % (1387653)ott-21_1_sil=16000:fs=off:random_seed=1663274433:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.87/2.62  % (1387649)Instruction limit reached! 
% 14.87/2.62  % (1387649)------------------------------
% 14.87/2.62  % (1387649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.87/2.62  % (1387649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387649)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387649)Termination reason: Instruction limit
% 25.52/4.96  % (1387649)Termination phase: Property scanning
% 25.52/4.96  % (1387649)Time elapsed: 0.068 s
% 25.52/4.96  % (1387649)Peak memory usage: 17 MB
% 25.52/4.96  % (1387649)Instructions burned: 131 (million)
% 25.52/4.96  % (1387656)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3442516913:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 25.52/4.96  % (1387653)Instruction limit reached! 
% 25.52/4.96  % (1387653)------------------------------
% 25.52/4.96  % (1387653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387653)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387653)Termination reason: Instruction limit
% 25.52/4.96  % (1387653)Termination phase: Saturation
% 25.52/4.96  % (1387653)Time elapsed: 0.086 s
% 25.52/4.96  % (1387653)Peak memory usage: 18 MB
% 25.52/4.96  % (1387653)Instructions burned: 180 (million)
% 25.52/4.96  % (1387658)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1972834840:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 25.52/4.96  % (1387648)Instruction limit reached! 
% 25.52/4.96  % (1387648)------------------------------
% 25.52/4.96  % (1387648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387648)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387648)Termination reason: Instruction limit
% 25.52/4.96  % (1387648)Termination phase: Finite model building preprocessing
% 25.52/4.96  % (1387648)Time elapsed: 0.343 s
% 25.52/4.96  % (1387648)Peak memory usage: 27 MB
% 25.52/4.96  % (1387648)Instructions burned: 716 (million)
% 25.52/4.96  % (1387656)Instruction limit reached! 
% 25.52/4.96  % (1387656)------------------------------
% 25.52/4.96  % (1387656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387656)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387656)Termination reason: Instruction limit
% 25.52/4.96  % (1387656)Termination phase: Saturation
% 25.52/4.96  % (1387656)Time elapsed: 0.249 s
% 25.52/4.96  % (1387656)Peak memory usage: 20 MB
% 25.52/4.96  % (1387656)Instructions burned: 478 (million)
% 25.52/4.96  % (1387660)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=835052566:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 25.52/4.96  % (1387661)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1715514210:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 25.52/4.96  % (1387651)Instruction limit reached! 
% 25.52/4.96  % (1387651)------------------------------
% 25.52/4.96  % (1387651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387651)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387651)Termination reason: Instruction limit
% 25.52/4.96  % (1387651)Termination phase: Saturation
% 25.52/4.96  % (1387651)Time elapsed: 0.352 s
% 25.52/4.96  % (1387651)Peak memory usage: 25 MB
% 25.52/4.96  % (1387651)Instructions burned: 686 (million)
% 25.52/4.96  % (1387664)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=4071123765: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)
% 25.52/4.96  % (1387658)Instruction limit reached! 
% 25.52/4.96  % (1387658)------------------------------
% 25.52/4.96  % (1387658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387658)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387658)Termination reason: Instruction limit
% 25.52/4.96  % (1387658)Termination phase: Finite model building preprocessing
% 25.52/4.96  % (1387658)Time elapsed: 0.416 s
% 25.52/4.96  % (1387658)Peak memory usage: 27 MB
% 25.52/4.96  % (1387658)Instructions burned: 866 (million)
% 25.52/4.96  % (1387666)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1882223083:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 25.52/4.96  % TRYING [1]
% 25.52/4.96  % TRYING [2]
% 25.52/4.96  % (1387664)Instruction limit reached! 
% 25.52/4.96  % (1387664)------------------------------
% 25.52/4.96  % (1387664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387664)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387664)Termination reason: Instruction limit
% 25.52/4.96  % (1387664)Termination phase: Saturation
% 25.52/4.96  % (1387664)Time elapsed: 0.380 s
% 25.52/4.96  % (1387664)Peak memory usage: 25 MB
% 25.52/4.96  % (1387664)Instructions burned: 692 (million)
% 25.52/4.96  % (1387668)fmb+10_1_sil=64000:random_seed=1069093256:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 25.52/4.96  % (1387661)Instruction limit reached! 
% 25.52/4.96  % (1387661)------------------------------
% 25.52/4.96  % (1387661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387661)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387661)Termination reason: Instruction limit
% 25.52/4.96  % (1387661)Termination phase: Finite model building preprocessing
% 25.52/4.96  % (1387661)Time elapsed: 0.434 s
% 25.52/4.96  % (1387661)Peak memory usage: 27 MB
% 25.52/4.96  % (1387661)Instructions burned: 892 (million)
% 25.52/4.96  % (1387670)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2277983554:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 25.52/4.96  % (1387666)Instruction limit reached! 
% 25.52/4.96  % (1387666)------------------------------
% 25.52/4.96  % (1387666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387666)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387666)Termination reason: Instruction limit
% 25.52/4.96  % (1387666)Termination phase: Saturation
% 25.52/4.96  % (1387666)Time elapsed: 0.349 s
% 25.52/4.96  % (1387666)Peak memory usage: 24 MB
% 25.52/4.96  % (1387666)Instructions burned: 881 (million)
% 25.52/4.96  % (1387672)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=658769210:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 25.52/4.96  % (1387660)Instruction limit reached! 
% 25.52/4.96  % (1387660)------------------------------
% 25.52/4.96  % (1387660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387660)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387660)Termination reason: Instruction limit
% 25.52/4.96  % (1387660)Termination phase: Saturation
% 25.52/4.96  % (1387660)Time elapsed: 0.615 s
% 25.52/4.96  % (1387660)Peak memory usage: 32 MB
% 25.52/4.96  % (1387660)Instructions burned: 1181 (million)
% 25.52/4.96  % (1387674)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2448221496:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 25.52/4.96  % (1387672)Instruction limit reached! 
% 25.52/4.96  % (1387672)------------------------------
% 25.52/4.96  % (1387672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387672)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387672)Termination reason: Instruction limit
% 25.52/4.96  % (1387672)Termination phase: Finite model building preprocessing
% 25.52/4.96  % (1387672)Time elapsed: 0.446 s
% 25.52/4.96  % (1387672)Peak memory usage: 27 MB
% 25.52/4.96  % (1387672)Instructions burned: 922 (million)
% 25.52/4.96  % (1387676)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1538410883:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 25.52/4.96  % TRYING [3]
% 25.52/4.96  % TRYING [1]
% 25.52/4.96  % (1387670)Cannot represent all propositional literals internally
% 25.52/4.96  % (1387670)Refutation not found, incomplete strategy
% 25.52/4.96  % (1387670)------------------------------
% 25.52/4.96  % (1387670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387670)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387670)Termination reason: Refutation not found, incomplete strategy
% 25.52/4.96  % (1387670)Time elapsed: 1.027 s
% 25.52/4.96  % (1387670)Peak memory usage: 45 MB
% 25.52/4.96  % (1387670)Instructions burned: 2113 (million)
% 25.52/4.96  % (1387670)------------------------------
% 25.52/4.96  % (1387670)------------------------------
% 25.52/4.96  % (1387678)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2758342742:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 25.52/4.96  % TRYING [2]
% 25.52/4.96  % (1387676)Instruction limit reached! 
% 25.52/4.96  % (1387676)------------------------------
% 25.52/4.96  % (1387676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387676)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387676)Termination reason: Instruction limit
% 25.52/4.96  % (1387676)Termination phase: Saturation
% 25.52/4.96  % (1387676)Time elapsed: 0.612 s
% 25.52/4.96  % (1387676)Peak memory usage: 19 MB
% 25.52/4.96  % (1387676)Instructions burned: 1473 (million)
% 25.52/4.96  % (1387680)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2978885775:fmbsr=2.30978:i=2174_2977 on theBenchmark for (2977ds/2174Mi)
% 25.52/4.96  % (1387680)Instruction limit reached! 
% 25.52/4.96  % (1387680)------------------------------
% 25.52/4.96  % (1387680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387680)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387680)Termination reason: Instruction limit
% 25.52/4.96  % (1387680)Termination phase: Finite model building preprocessing
% 25.52/4.96  % (1387680)Time elapsed: 1.021 s
% 25.52/4.96  % (1387680)Peak memory usage: 38 MB
% 25.52/4.96  % (1387680)Instructions burned: 2174 (million)
% 25.52/4.96  % (1387682)ott-2_1_sil=16000:newcnf=on:random_seed=3701442376:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2967 on theBenchmark for (2967ds/869Mi)
% 25.52/4.96  % (1387678)Cannot represent all propositional literals internally
% 25.52/4.96  % (1387678)Refutation not found, incomplete strategy
% 25.52/4.96  % (1387678)------------------------------
% 25.52/4.96  % (1387678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387678)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387678)Termination reason: Refutation not found, incomplete strategy
% 25.52/4.96  % (1387678)Time elapsed: 1.236 s
% 25.52/4.96  % (1387678)Peak memory usage: 51 MB
% 25.52/4.96  % (1387678)Instructions burned: 2532 (million)
% 25.52/4.96  % (1387678)------------------------------
% 25.52/4.96  % (1387678)------------------------------
% 25.52/4.96  % (1387684)ott+10_1_sil=32000:tgt=ground:random_seed=142783709:i=5114:av=off_2966 on theBenchmark for (2966ds/5114Mi)
% 25.52/4.96  % (1387682)Instruction limit reached! 
% 25.52/4.96  % (1387682)------------------------------
% 25.52/4.96  % (1387682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387682)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387682)Termination reason: Instruction limit
% 25.52/4.96  % (1387682)Termination phase: Saturation
% 25.52/4.96  % (1387682)Time elapsed: 0.440 s
% 25.52/4.96  % (1387682)Peak memory usage: 25 MB
% 25.52/4.96  % (1387682)Instructions burned: 870 (million)
% 25.52/4.96  % (1387686)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=16984545:i=54282_2962 on theBenchmark for (2962ds/54282Mi)
% 25.52/4.96  % (1387674)Instruction limit reached! 
% 25.52/4.96  % (1387674)------------------------------
% 25.52/4.96  % (1387674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387674)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387674)Termination reason: Instruction limit
% 25.52/4.96  % (1387674)Termination phase: Saturation
% 25.52/4.96  % (1387674)Time elapsed: 2.696 s
% 25.52/4.96  % (1387674)Peak memory usage: 53 MB
% 25.52/4.96  % (1387674)Instructions burned: 5133 (million)
% 25.52/4.96  % (1387688)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3995713186:i=3512:aac=none_2961 on theBenchmark for (2961ds/3512Mi)
% 25.52/4.96  % (1387635) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1387629-1387635"...
% 25.52/4.96  % (1387635)...printing done.
% 25.52/4.96  % (1387635)Refutation found. Thanks to Tanya!
% 25.52/4.96  % SZS status Theorem for theBenchmark
% 25.52/4.96  % SZS output start Proof for theBenchmark
% See solution above
% 25.52/4.96  % (1387635)------------------------------
% 25.52/4.96  % (1387635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.52/4.96  % (1387635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.52/4.96  % (1387635)CaDiCaL version: 2.1.3
% 25.52/4.96  % (1387635)Termination reason: Refutation
% 25.52/4.96  % (1387635)Time elapsed: 4.365 s
% 25.52/4.96  % (1387635)Peak memory usage: 67 MB
% 25.52/4.96  % (1387635)Instructions burned: 8108 (million)
% 25.52/4.96  % (1387629)Success in time 4.537 s
% 25.52/4.96  % Vampire exiting
%------------------------------------------------------------------------------