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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW338+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n013.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 01:39:50 PM UTC 2026

% Result   : Theorem 12.94s 2.48s
% Output   : Refutation 12.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   35 (   4 unt;   0 def)
%            Number of atoms       :  106 (   0 equ)
%            Maximal formula atoms :    4 (   3 avg)
%            Number of connectives :  101 (  30   ~;  38   |;  12   &)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   64 (  56   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5225,axiom,
    ! [X0] :
      ( ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
     => ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f5227,axiom,
    ! [X0] :
      ( ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
     => ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).

fof(f5228,conjecture,
    ! [X0] :
      ( ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
     => ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).

fof(f5229,negated_conjecture,
    ~ ! [X0] :
        ( ! [X1] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
       => ! [X1] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ) ),
    inference(negated_conjecture,[status(cth)],[f5228]) ).

fof(f5255,plain,
    ! [X0] :
      ( ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
     => ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
    inference(rectify,[],[f5225]) ).

fof(f5256,plain,
    ! [X0] :
      ( ! [X1] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
     => ! [X2] :
          ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G_H))
         => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
    inference(rectify,[],[f5227]) ).

fof(f5257,plain,
    ~ ! [X0] :
        ( ! [X1] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
       => ! [X2] :
            ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
           => c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
    inference(rectify,[],[f5229]) ).

fof(f9566,plain,
    ! [X0] :
      ( ! [X2] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) )
      | ? [X1] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H)) ) ),
    inference(ennf_transformation,[],[f5255]) ).

fof(f9567,plain,
    ! [X0] :
      ( ! [X2] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G_H)) )
      | ? [X1] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
    inference(ennf_transformation,[],[f5256]) ).

fof(f9568,plain,
    ? [X0] :
      ( ? [X2] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) )
      & ! [X1] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
    inference(ennf_transformation,[],[f5257]) ).

fof(f11276,plain,
    ! [X0] :
      ( ! [X1] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
      | ? [X2] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G_H)) ) ),
    inference(rectify,[],[f9566]) ).

fof(f11277,plain,
    ! [X0] :
      ( ! [X1] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
      | ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK581(X0))
        & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK581(X0)),v_G_H)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK581]),skolemize(X2,sK581(X0))],[f11276]) ).

fof(f11278,plain,
    ! [X0] :
      ( ! [X1] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H)) )
      | ? [X2] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
    inference(rectify,[],[f9567]) ).

fof(f11279,plain,
    ! [X0] :
      ( ! [X1] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H)) )
      | ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK582(X0))
        & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK582(X0)),v_G)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK582]),skolemize(X2,sK582(X0))],[f11278]) ).

fof(f11280,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
          & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
      & ! [X2] :
          ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
          | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
    inference(rectify,[],[f9568]) ).

fof(f11281,plain,
    ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK583,sK584)
    & hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK584),v_ts))
    & ! [X2] :
        ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK583,X2)
        | ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK583,sK584]),skolemize(X0,sK583),skolemize(X1,sK584)],[f11280]) ).

fof(f18356,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
      | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK581(X0)),v_G_H)) ),
    inference(cnf_transformation,[],[f11277]) ).

fof(f18357,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
      | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK581(X0)) ),
    inference(cnf_transformation,[],[f11277]) ).

fof(f18359,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
      | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK582(X0)),v_G)) ),
    inference(cnf_transformation,[],[f11279]) ).

fof(f18360,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
      | ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK582(X0)) ),
    inference(cnf_transformation,[],[f11279]) ).

fof(f18361,plain,
    ! [X2] :
      ( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,sK583,X2) ),
    inference(cnf_transformation,[],[f11281]) ).

fof(f18362,plain,
    hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK584),v_ts)),
    inference(cnf_transformation,[],[f11281]) ).

fof(f18363,plain,
    ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK583,sK584),
    inference(cnf_transformation,[],[f11281]) ).

fof(f24554,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK581(X0))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK584) ),
    inference(resolution,[],[f18357,f18362]) ).

fof(f27696,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK581(X0)),v_G_H))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK584) ),
    inference(resolution,[],[f18356,f18362]) ).

fof(f27700,plain,
    ! [X0,X1] :
      ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X1,sK582(X1))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X1,sK581(X0))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK584) ),
    inference(resolution,[],[f27696,f18360]) ).

fof(f27729,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK582(X0)),v_G))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK581(X1))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X1,sK584) ),
    inference(resolution,[],[f18359,f27696]) ).

fof(f27739,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK584)
      | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK582(X0)),v_G))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK584) ),
    inference(resolution,[],[f24554,f27729]) ).

fof(f27740,plain,
    ! [X0] :
      ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK582(X0)),v_G))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK584) ),
    inference(duplicate_literal_removal,[],[f27739]) ).

fof(f27741,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK583,sK582(X0))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK584) ),
    inference(resolution,[],[f27740,f18361]) ).

fof(f27750,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK583,sK581(X0))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK584)
      | c_Hoare__Mirabelle_Otriple__valid(t_a,sK583,sK584) ),
    inference(resolution,[],[f27700,f27741]) ).

fof(f27751,plain,
    ! [X0] :
      ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK583,sK581(X0))
      | c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK584) ),
    inference(forward_subsumption_resolution,[],[f27750,f18363]) ).

fof(f27768,plain,
    ( c_Hoare__Mirabelle_Otriple__valid(t_a,sK583,sK584)
    | c_Hoare__Mirabelle_Otriple__valid(t_a,sK583,sK584) ),
    inference(resolution,[],[f27751,f24554]) ).

fof(f27769,plain,
    c_Hoare__Mirabelle_Otriple__valid(t_a,sK583,sK584),
    inference(duplicate_literal_removal,[],[f27768]) ).

fof(f27770,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f27769,f18363]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW338+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  % Computer : n013.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 13:38:02 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24  Running first-order model finding
% 0.09/0.24  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
% 12.94/2.48  % (1182314)Will run a generic schedule for satisfiability detection.
% 12.94/2.48  % (1182321)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1246400254:i=88024:add=on:rawr=on_2996 on theBenchmark for (2996ds/88024Mi)
% 12.94/2.48  % (1182320)% WARNING: option uhcvi not known.
% 12.94/2.48  % (1182319)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1785103487_2996 on theBenchmark for (2996ds/0Mi)
% 12.94/2.48  % (1182320)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2075091485:i=135531:add=off:rawr=on_2996 on theBenchmark for (2996ds/135531Mi)
% 12.94/2.48  % (1182322)dis+10_1_sil=32000:sp=arity:random_seed=1753336399:i=103:fgj=on_2996 on theBenchmark for (2996ds/103Mi)
% 12.94/2.48  % (1182323)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3789647128:i=116_2996 on theBenchmark for (2996ds/116Mi)
% 12.94/2.48  % (1182325)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4218309267:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2996 on theBenchmark for (2996ds/159Mi)
% 12.94/2.48  % (1182324)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3047568438:i=131_2996 on theBenchmark for (2996ds/131Mi)
% 12.94/2.48  % (1182322)Instruction limit reached! 
% 12.94/2.48  % (1182322)------------------------------
% 12.94/2.48  % (1182322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182322)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182322)Termination reason: Instruction limit
% 12.94/2.48  % (1182322)Termination phase: Preprocessing 3
% 12.94/2.48  % (1182322)Time elapsed: 0.066 s
% 12.94/2.48  % (1182322)Peak memory usage: 20 MB
% 12.94/2.48  % (1182322)Instructions burned: 104 (million)
% 12.94/2.48  % (1182323)Instruction limit reached! 
% 12.94/2.48  % (1182323)------------------------------
% 12.94/2.48  % (1182323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182323)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182323)Termination reason: Instruction limit
% 12.94/2.48  % (1182323)Termination phase: NewCNF
% 12.94/2.48  % (1182323)Time elapsed: 0.078 s
% 12.94/2.48  % (1182323)Peak memory usage: 21 MB
% 12.94/2.48  % (1182323)Instructions burned: 118 (million)
% 12.94/2.48  % (1182324)Instruction limit reached! 
% 12.94/2.48  % (1182324)------------------------------
% 12.94/2.48  % (1182324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182324)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182324)Termination reason: Instruction limit
% 12.94/2.48  % (1182324)Termination phase: Preprocessing 3
% 12.94/2.48  % (1182324)Time elapsed: 0.079 s
% 12.94/2.48  % (1182324)Peak memory usage: 20 MB
% 12.94/2.48  % (1182324)Instructions burned: 131 (million)
% 12.94/2.48  % (1182333)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2799204994:i=714:nm=2_2995 on theBenchmark for (2995ds/714Mi)
% 12.94/2.48  % (1182325)Instruction limit reached! 
% 12.94/2.48  % (1182325)------------------------------
% 12.94/2.48  % (1182325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182325)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182325)Termination reason: Instruction limit
% 12.94/2.48  % (1182325)Termination phase: Clausification
% 12.94/2.48  % (1182325)Time elapsed: 0.096 s
% 12.94/2.48  % (1182325)Peak memory usage: 21 MB
% 12.94/2.48  % (1182325)Instructions burned: 159 (million)
% 12.94/2.48  % (1182334)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2059208201:i=131:bd=preordered:fsd=on_2995 on theBenchmark for (2995ds/131Mi)
% 12.94/2.48  % (1182335)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=1159447089:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2995 on theBenchmark for (2995ds/684Mi)
% 12.94/2.48  % (1182338)ott-21_1_sil=16000:fs=off:random_seed=2858753722:i=180:av=off:fsr=off_2995 on theBenchmark for (2995ds/180Mi)
% 12.94/2.48  % (1182334)Instruction limit reached! 
% 12.94/2.48  % (1182334)------------------------------
% 12.94/2.48  % (1182334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182334)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182334)Termination reason: Instruction limit
% 12.94/2.48  % (1182334)Termination phase: Preprocessing 3
% 12.94/2.48  % (1182334)Time elapsed: 0.077 s
% 12.94/2.48  % (1182334)Peak memory usage: 20 MB
% 12.94/2.48  % (1182334)Instructions burned: 131 (million)
% 12.94/2.48  % (1182341)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3142863932:i=477:bd=all_2994 on theBenchmark for (2994ds/477Mi)
% 12.94/2.48  % (1182338)Instruction limit reached! 
% 12.94/2.48  % (1182338)------------------------------
% 12.94/2.48  % (1182338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182338)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182338)Termination reason: Instruction limit
% 12.94/2.48  % (1182338)Termination phase: Property scanning
% 12.94/2.48  % (1182338)Time elapsed: 0.103 s
% 12.94/2.48  % (1182338)Peak memory usage: 22 MB
% 12.94/2.48  % (1182338)Instructions burned: 182 (million)
% 12.94/2.48  % (1182343)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1418532418:fmbsr=1.3:i=865:ins=25_2993 on theBenchmark for (2993ds/865Mi)
% 12.94/2.48  % (1182335)Instruction limit reached! 
% 12.94/2.48  % (1182335)------------------------------
% 12.94/2.48  % (1182335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182335)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182335)Termination reason: Instruction limit
% 12.94/2.48  % (1182335)Termination phase: Saturation
% 12.94/2.48  % (1182335)Time elapsed: 0.321 s
% 12.94/2.48  % (1182335)Peak memory usage: 24 MB
% 12.94/2.48  % (1182335)Instructions burned: 685 (million)
% 12.94/2.48  % (1182333)Instruction limit reached! 
% 12.94/2.48  % (1182333)------------------------------
% 12.94/2.48  % (1182333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182333)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182333)Termination reason: Instruction limit
% 12.94/2.48  % (1182333)Termination phase: Finite model building preprocessing
% 12.94/2.48  % (1182333)Time elapsed: 0.336 s
% 12.94/2.48  % (1182333)Peak memory usage: 25 MB
% 12.94/2.48  % (1182333)Instructions burned: 715 (million)
% 12.94/2.48  % (1182341)Instruction limit reached! 
% 12.94/2.48  % (1182341)------------------------------
% 12.94/2.48  % (1182341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182341)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182341)Termination reason: Instruction limit
% 12.94/2.48  % (1182341)Termination phase: Property scanning
% 12.94/2.48  % (1182341)Time elapsed: 0.225 s
% 12.94/2.48  % (1182341)Peak memory usage: 23 MB
% 12.94/2.48  % (1182341)Instructions burned: 479 (million)
% 12.94/2.48  % (1182345)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=708745814:i=1179_2991 on theBenchmark for (2991ds/1179Mi)
% 12.94/2.48  % (1182346)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=789382701:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 12.94/2.48  % (1182347)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=1241576961:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 12.94/2.48  % (1182343)Instruction limit reached! 
% 12.94/2.48  % (1182343)------------------------------
% 12.94/2.48  % (1182343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182343)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182343)Termination reason: Instruction limit
% 12.94/2.48  % (1182343)Termination phase: Finite model building preprocessing
% 12.94/2.48  % (1182343)Time elapsed: 0.409 s
% 12.94/2.48  % (1182343)Peak memory usage: 30 MB
% 12.94/2.48  % (1182343)Instructions burned: 867 (million)
% 12.94/2.48  % (1182351)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2817023076:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 12.94/2.48  % (1182347)Instruction limit reached! 
% 12.94/2.48  % (1182347)------------------------------
% 12.94/2.48  % (1182347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182347)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182347)Termination reason: Instruction limit
% 12.94/2.48  % (1182347)Termination phase: Saturation
% 12.94/2.48  % (1182347)Time elapsed: 0.345 s
% 12.94/2.48  % (1182347)Peak memory usage: 28 MB
% 12.94/2.48  % (1182347)Instructions burned: 693 (million)
% 12.94/2.48  % (1182353)fmb+10_1_sil=64000:random_seed=1623462741:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 12.94/2.48  % (1182346)Instruction limit reached! 
% 12.94/2.48  % (1182346)------------------------------
% 12.94/2.48  % (1182346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182346)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182346)Termination reason: Instruction limit
% 12.94/2.48  % (1182346)Termination phase: Finite model building preprocessing
% 12.94/2.48  % (1182346)Time elapsed: 0.419 s
% 12.94/2.48  % (1182346)Peak memory usage: 31 MB
% 12.94/2.48  % (1182346)Instructions burned: 889 (million)
% 12.94/2.48  % (1182355)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2988019117:i=9515:nm=5_2987 on theBenchmark for (2987ds/9515Mi)
% 12.94/2.48  % (1182345)Instruction limit reached! 
% 12.94/2.48  % (1182345)------------------------------
% 12.94/2.48  % (1182345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182345)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182345)Termination reason: Instruction limit
% 12.94/2.48  % (1182345)Termination phase: Saturation
% 12.94/2.48  % (1182345)Time elapsed: 0.637 s
% 12.94/2.48  % (1182345)Peak memory usage: 30 MB
% 12.94/2.48  % (1182345)Instructions burned: 1180 (million)
% 12.94/2.48  % (1182351)Instruction limit reached! 
% 12.94/2.48  % (1182351)------------------------------
% 12.94/2.48  % (1182351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182351)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182351)Termination reason: Instruction limit
% 12.94/2.48  % (1182351)Termination phase: Saturation
% 12.94/2.48  % (1182351)Time elapsed: 0.418 s
% 12.94/2.48  % (1182351)Peak memory usage: 30 MB
% 12.94/2.48  % (1182351)Instructions burned: 880 (million)
% 12.94/2.48  % (1182357)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2599263612:fmbsr=1.7:i=920_2985 on theBenchmark for (2985ds/920Mi)
% 12.94/2.48  % (1182358)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=554373263:i=5131_2985 on theBenchmark for (2985ds/5131Mi)
% 12.94/2.48  % (1182357)Instruction limit reached! 
% 12.94/2.48  % (1182357)------------------------------
% 12.94/2.48  % (1182357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.48  % (1182357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.48  % (1182357)CaDiCaL version: 2.1.3
% 12.94/2.48  % (1182357)Termination reason: Instruction limit
% 12.94/2.48  % (1182357)Termination phase: Finite model building preprocessing
% 12.94/2.48  % (1182357)Time elapsed: 0.438 s
% 12.94/2.48  % (1182357)Peak memory usage: 32 MB
% 12.94/2.48  % (1182357)Instructions burned: 922 (million)
% 12.94/2.48  % (1182361)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3866291433:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 12.94/2.48  % (1182321) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1182314-1182321"...
% 12.94/2.48  % (1182321)...printing done.
% 12.94/2.48  % (1182321)Refutation found. Thanks to Tanya!
% 12.94/2.48  % SZS status Theorem for theBenchmark
% 12.94/2.48  % SZS output start Proof for theBenchmark
% See solution above
% 12.94/2.49  % (1182321)------------------------------
% 12.94/2.49  % (1182321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.94/2.49  % (1182321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.94/2.49  % (1182321)CaDiCaL version: 2.1.3
% 12.94/2.49  % (1182321)Termination reason: Refutation
% 12.94/2.49  % (1182321)Time elapsed: 1.821 s
% 12.94/2.49  % (1182321)Peak memory usage: 182 MB
% 12.94/2.49  % (1182321)Instructions burned: 5080 (million)
% 12.94/2.49  % (1182314)Success in time 2.227 s
% 12.94/2.49  % Vampire exiting
%------------------------------------------------------------------------------