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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR086+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 09:42:49 AM UTC 2026

% Result   : Theorem 11.98s 3.18s
% Output   : Refutation 11.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  10 unt;   0 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   94 (  40   ~;  36   |;  12   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   43 (  37   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26456,axiom,
    ! [X0,X1] :
      ( s__subclass(X0,X1)
     => ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26635) ).

fof(f26457,axiom,
    ! [X0,X1,X2] :
      ( ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) )
     => ( ( s__subclass(X0,X1)
          & s__instance(X2,X0) )
       => s__instance(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26636) ).

fof(f32515,axiom,
    s__subclass(s__GraphLoop,s__GraphArc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_32707) ).

fof(f32518,axiom,
    ! [X0] :
      ( s__instance(X0,s__GraphArc)
     => ( s__instance(X0,s__GraphLoop)
      <=> ? [X1] :
            ( s__instance(X1,s__GraphNode)
            & s__links(X1,X1,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_32710) ).

fof(f145102,axiom,
    s__instance(s__Arc13_1,s__GraphLoop),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).

fof(f145103,conjecture,
    ? [X0] : s__links(X0,X0,s__Arc13_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_ALL) ).

fof(f145104,negated_conjecture,
    ~ ? [X0] : s__links(X0,X0,s__Arc13_1),
    inference(negated_conjecture,[status(cth)],[f145103]) ).

fof(f145105,plain,
    ! [X0] : ~ s__links(X0,X0,s__Arc13_1),
    inference(ennf_transformation,[],[f145104]) ).

fof(f145108,plain,
    ! [X0] :
      ( ( s__instance(X0,s__GraphLoop)
      <=> ? [X1] :
            ( s__instance(X1,s__GraphNode)
            & s__links(X1,X1,X0) ) )
      | ~ s__instance(X0,s__GraphArc) ),
    inference(ennf_transformation,[],[f32518]) ).

fof(f145218,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f26457]) ).

fof(f145219,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f145218]) ).

fof(f145220,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26456]) ).

fof(f145598,plain,
    ! [X0] :
      ( ( ( s__instance(X0,s__GraphLoop)
          | ! [X1] :
              ( ~ s__instance(X1,s__GraphNode)
              | ~ s__links(X1,X1,X0) ) )
        & ( ? [X1] :
              ( s__instance(X1,s__GraphNode)
              & s__links(X1,X1,X0) )
          | ~ s__instance(X0,s__GraphLoop) ) )
      | ~ s__instance(X0,s__GraphArc) ),
    inference(nnf_transformation,[],[f145108]) ).

fof(f145599,plain,
    ! [X0] :
      ( ( ( s__instance(X0,s__GraphLoop)
          | ! [X1] :
              ( ~ s__instance(X1,s__GraphNode)
              | ~ s__links(X1,X1,X0) ) )
        & ( ? [X2] :
              ( s__instance(X2,s__GraphNode)
              & s__links(X2,X2,X0) )
          | ~ s__instance(X0,s__GraphLoop) ) )
      | ~ s__instance(X0,s__GraphArc) ),
    inference(rectify,[],[f145598]) ).

fof(f145600,plain,
    ! [X0] :
      ( ( ( s__instance(X0,s__GraphLoop)
          | ! [X1] :
              ( ~ s__instance(X1,s__GraphNode)
              | ~ s__links(X1,X1,X0) ) )
        & ( ( s__instance(sK0(X0),s__GraphNode)
            & s__links(sK0(X0),sK0(X0),X0) )
          | ~ s__instance(X0,s__GraphLoop) ) )
      | ~ s__instance(X0,s__GraphArc) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f145599]) ).

fof(f145680,plain,
    s__instance(s__Arc13_1,s__GraphLoop),
    inference(cnf_transformation,[],[f145102]) ).

fof(f145681,plain,
    ! [X0] : ~ s__links(X0,X0,s__Arc13_1),
    inference(cnf_transformation,[],[f145105]) ).

fof(f145686,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__GraphLoop)
      | s__links(sK0(X0),sK0(X0),X0)
      | ~ s__instance(X0,s__GraphArc) ),
    inference(cnf_transformation,[],[f145600]) ).

fof(f145690,plain,
    s__subclass(s__GraphLoop,s__GraphArc),
    inference(cnf_transformation,[],[f32515]) ).

fof(f145833,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f145219]) ).

fof(f145834,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f145220]) ).

fof(f145835,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f145220]) ).

fof(f147195,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(forward_subsumption_resolution,[],[f145833,f145834]) ).

fof(f147199,plain,
    ! [X2,X0,X1] :
      ( ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | s__instance(X2,X1) ),
    inference(forward_subsumption_resolution,[],[f147195,f145835]) ).

fof(f147204,plain,
    ( s__links(sK0(s__Arc13_1),sK0(s__Arc13_1),s__Arc13_1)
    | ~ s__instance(s__Arc13_1,s__GraphArc) ),
    inference(resolution,[],[f145680,f145686]) ).

fof(f147205,plain,
    ~ s__instance(s__Arc13_1,s__GraphArc),
    inference(forward_subsumption_resolution,[],[f147204,f145681]) ).

fof(f147206,plain,
    $false,
    inference(unit_resulting_resolution,[],[f147199,f147205,f145690,f145680]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR086+3 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.01/0.18  % Computer : n012.cluster.edu
% 0.01/0.18  % Model    : x86_64 x86_64
% 0.01/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.01/0.18  % Memory   : 8046.5625MB
% 0.01/0.18  % OS       : Linux 6.8.0-71-generic
% 0.01/0.18  % CPULimit : 300
% 0.01/0.18  % WCLimit  : 300
% 0.01/0.18  % DateTime : Mon Sep 28 22:36:20 UTC 2026
% 0.01/0.18  % CPUTime  : 
% 0.01/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.01/0.20  Running first-order theorem proving
% 0.01/0.20  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.78/2.78  % (3873447)Detected formulas, will run a generic FOF schedule.
% 8.78/2.78  % (3873454)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1232145354:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 8.78/2.78  % (3873453)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3058637436:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 8.78/2.78  % (3873455)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2246117886:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 8.78/2.78  % (3873452)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3599358109:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 8.78/2.78  % (3873458)dis-21_1_sil=8000:lcm=predicate:random_seed=1791235687:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 8.78/2.78  % (3873456)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=355373905:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 8.78/2.78  % (3873457)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1992943215:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 8.78/2.78  % (3873455)Instruction limit reached! 
% 8.78/2.78  % (3873455)------------------------------
% 8.78/2.78  % (3873455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.78/2.78  % (3873455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/2.78  % (3873455)CaDiCaL version: 2.1.3
% 8.78/2.78  % (3873455)Termination reason: Instruction limit
% 8.78/2.78  % (3873455)Termination phase: SInE selection
% 8.78/2.78  % (3873455)Time elapsed: 0.035 s
% 8.78/2.78  % (3873455)Peak memory usage: 164 MB
% 8.78/2.78  % (3873455)Instructions burned: 113 (million)
% 8.78/2.78  % (3873456)Instruction limit reached! 
% 8.78/2.78  % (3873456)------------------------------
% 8.78/2.78  % (3873456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.78/2.78  % (3873456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/2.78  % (3873456)CaDiCaL version: 2.1.3
% 8.78/2.78  % (3873456)Termination reason: Instruction limit
% 8.78/2.78  % (3873456)Termination phase: SInE selection
% 8.78/2.78  % (3873456)Time elapsed: 0.040 s
% 8.78/2.78  % (3873456)Peak memory usage: 164 MB
% 8.78/2.78  % (3873456)Instructions burned: 122 (million)
% 8.78/2.78  % (3873458)Instruction limit reached! 
% 8.78/2.78  % (3873458)------------------------------
% 8.78/2.78  % (3873458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.78/2.78  % (3873458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/2.78  % (3873458)CaDiCaL version: 2.1.3
% 8.78/2.78  % (3873458)Termination reason: Instruction limit
% 8.78/2.78  % (3873458)Termination phase: SInE selection
% 8.78/2.78  % (3873458)Time elapsed: 0.042 s
% 8.78/2.78  % (3873458)Peak memory usage: 164 MB
% 8.78/2.78  % (3873458)Instructions burned: 130 (million)
% 8.78/2.78  % (3873457)Instruction limit reached! 
% 8.78/2.78  % (3873457)------------------------------
% 8.78/2.78  % (3873457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.78/2.78  % (3873457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.78/2.78  % (3873457)CaDiCaL version: 2.1.3
% 8.78/2.78  % (3873457)Termination reason: Instruction limit
% 8.78/2.78  % (3873457)Termination phase: Property scanning
% 8.78/2.78  % (3873457)Time elapsed: 0.043 s
% 8.78/2.78  % (3873457)Peak memory usage: 165 MB
% 8.78/2.78  % (3873457)Instructions burned: 139 (million)
% 8.78/2.78  % (3873466)lrs+10_1_sil=8000:sp=occurrence:random_seed=3930442312:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 8.78/2.78  % (3873468)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1988429684:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 8.78/2.78  % (3873467)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3135096006:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 8.78/2.78  % (3873469)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=94748074:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 8.78/2.78  % (3873467)Instruction limit reached! 
% 11.46/3.07  % (3873467)------------------------------
% 11.46/3.07  % (3873467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873467)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873467)Termination reason: Instruction limit
% 11.46/3.07  % (3873467)Termination phase: Property scanning
% 11.46/3.07  % (3873467)Time elapsed: 0.047 s
% 11.46/3.07  % (3873467)Peak memory usage: 165 MB
% 11.46/3.07  % (3873467)Instructions burned: 160 (million)
% 11.46/3.07  % (3873469)Instruction limit reached! 
% 11.46/3.07  % (3873469)------------------------------
% 11.46/3.07  % (3873469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873469)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873469)Termination reason: Instruction limit
% 11.46/3.07  % (3873469)Termination phase: Property scanning
% 11.46/3.07  % (3873469)Time elapsed: 0.069 s
% 11.46/3.07  % (3873469)Peak memory usage: 165 MB
% 11.46/3.07  % (3873469)Instructions burned: 249 (million)
% 11.46/3.07  % (3873466)Instruction limit reached! 
% 11.46/3.07  % (3873466)------------------------------
% 11.46/3.07  % (3873466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873466)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873466)Termination reason: Instruction limit
% 11.46/3.07  % (3873466)Termination phase: SInE selection
% 11.46/3.07  % (3873466)Time elapsed: 0.092 s
% 11.46/3.07  % (3873466)Peak memory usage: 164 MB
% 11.46/3.07  % (3873466)Instructions burned: 289 (million)
% 11.46/3.07  % (3873468)Instruction limit reached! 
% 11.46/3.07  % (3873468)------------------------------
% 11.46/3.07  % (3873468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873468)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873468)Termination reason: Instruction limit
% 11.46/3.07  % (3873468)Termination phase: SInE selection
% 11.46/3.07  % (3873468)Time elapsed: 0.102 s
% 11.46/3.07  % (3873468)Peak memory usage: 164 MB
% 11.46/3.07  % (3873468)Instructions burned: 326 (million)
% 11.46/3.07  % (3873474)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2867764580:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 11.46/3.07  % (3873475)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2152156099:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 11.46/3.07  % (3873476)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1554509962:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 11.46/3.07  % (3873477)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2567879118:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 11.46/3.07  % (3873476)Instruction limit reached! 
% 11.46/3.07  % (3873476)------------------------------
% 11.46/3.07  % (3873476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873476)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873476)Termination reason: Instruction limit
% 11.46/3.07  % (3873476)Termination phase: SInE selection
% 11.46/3.07  % (3873476)Time elapsed: 0.041 s
% 11.46/3.07  % (3873476)Peak memory usage: 164 MB
% 11.46/3.07  % (3873476)Instructions burned: 113 (million)
% 11.46/3.07  % (3873477)Instruction limit reached! 
% 11.46/3.07  % (3873477)------------------------------
% 11.46/3.07  % (3873477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873477)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873477)Termination reason: Instruction limit
% 11.46/3.07  % (3873477)Termination phase: Preprocessing 1
% 11.46/3.07  % (3873477)Time elapsed: 0.052 s
% 11.46/3.07  % (3873477)Peak memory usage: 165 MB
% 11.46/3.07  % (3873477)Instructions burned: 128 (million)
% 11.46/3.07  % (3873474)Instruction limit reached! 
% 11.46/3.07  % (3873474)------------------------------
% 11.46/3.07  % (3873474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873474)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873474)Termination reason: Instruction limit
% 11.46/3.07  % (3873474)Termination phase: SInE selection
% 11.46/3.07  % (3873474)Time elapsed: 0.102 s
% 11.46/3.07  % (3873474)Peak memory usage: 165 MB
% 11.46/3.07  % (3873474)Instructions burned: 295 (million)
% 11.46/3.07  % (3873482)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=483032369:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 11.46/3.07  % (3873483)lrs+10_1_sil=8000:sp=occurrence:random_seed=1863210873:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 11.46/3.07  % (3873482)Instruction limit reached! 
% 11.46/3.07  % (3873482)------------------------------
% 11.46/3.07  % (3873482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873482)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873482)Termination reason: Instruction limit
% 11.46/3.07  % (3873482)Termination phase: Property scanning
% 11.46/3.07  % (3873482)Time elapsed: 0.038 s
% 11.46/3.07  % (3873482)Peak memory usage: 165 MB
% 11.46/3.07  % (3873482)Instructions burned: 114 (million)
% 11.46/3.07  % (3873484)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2349568518:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 11.46/3.07  % (3873488)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3031831506:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 11.46/3.07  % (3873484)Refutation not found, incomplete strategy
% 11.46/3.07  % (3873484)------------------------------
% 11.46/3.07  % (3873484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873484)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873484)Termination reason: Refutation not found, incomplete strategy
% 11.46/3.07  % (3873484)Time elapsed: 0.162 s
% 11.46/3.07  % (3873484)Peak memory usage: 169 MB
% 11.46/3.07  % (3873484)Instructions burned: 397 (million)
% 11.46/3.07  % (3873483)Instruction limit reached! 
% 11.46/3.07  % (3873483)------------------------------
% 11.46/3.07  % (3873483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873483)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873483)Termination reason: Instruction limit
% 11.46/3.07  % (3873483)Termination phase: Saturation
% 11.46/3.07  % (3873483)Time elapsed: 0.329 s
% 11.46/3.07  % (3873483)Peak memory usage: 178 MB
% 11.46/3.07  % (3873483)Instructions burned: 909 (million)
% 11.46/3.07  % (3873484)------------------------------
% 11.46/3.07  % (3873484)------------------------------
% 11.46/3.07  % (3873454)Refutation not found, incomplete strategy
% 11.46/3.07  % (3873454)------------------------------
% 11.46/3.07  % (3873454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873454)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873454)Termination reason: Refutation not found, incomplete strategy
% 11.46/3.07  % (3873454)Time elapsed: 0.978 s
% 11.46/3.07  % (3873454)Peak memory usage: 298 MB
% 11.46/3.07  % (3873454)Instructions burned: 2522 (million)
% 11.46/3.07  % (3873490)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=905196243:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2978 on theBenchmark for (2978ds/134Mi)
% 11.46/3.07  % (3873491)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3357890376:st=8:i=592:sd=3:ep=RST:ss=axioms_2977 on theBenchmark for (2977ds/592Mi)
% 11.46/3.07  % (3873490)Instruction limit reached! 
% 11.46/3.07  % (3873490)------------------------------
% 11.46/3.07  % (3873490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.46/3.07  % (3873490)CaDiCaL version: 2.1.3
% 11.46/3.07  % (3873490)Termination reason: Instruction limit
% 11.46/3.07  % (3873490)Termination phase: SInE selection
% 11.46/3.07  % (3873490)Time elapsed: 0.051 s
% 11.46/3.07  % (3873490)Peak memory usage: 165 MB
% 11.46/3.07  % (3873490)Instructions burned: 136 (million)
% 11.46/3.07  % (3873475)Instruction limit reached! 
% 11.46/3.07  % (3873475)------------------------------
% 11.46/3.07  % (3873475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.46/3.07  % (3873475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/3.18  % (3873475)CaDiCaL version: 2.1.3
% 11.98/3.18  % (3873475)Termination reason: Instruction limit
% 11.98/3.18  % (3873475)Termination phase: Property scanning
% 11.98/3.18  % (3873475)Time elapsed: 0.734 s
% 11.98/3.18  % (3873475)Peak memory usage: 193 MB
% 11.98/3.18  % (3873475)Instructions burned: 2351 (million)
% 11.98/3.18  % (3873454)------------------------------
% 11.98/3.18  % (3873454)------------------------------
% 11.98/3.18  % (3873453)First to succeed.
% 11.98/3.18  % (3873453)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3873447"
% 11.98/3.18  % (3873494)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1677853654:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 11.98/3.18  % (3873495)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2437264109:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/125Mi)
% 11.98/3.18  % (3873491)Instruction limit reached! 
% 11.98/3.18  % (3873491)------------------------------
% 11.98/3.18  % (3873491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/3.18  % (3873491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/3.18  % (3873491)CaDiCaL version: 2.1.3
% 11.98/3.18  % (3873491)Termination reason: Instruction limit
% 11.98/3.18  % (3873491)Termination phase: Preprocessing 2
% 11.98/3.18  % (3873491)Time elapsed: 0.198 s
% 11.98/3.18  % (3873491)Peak memory usage: 167 MB
% 11.98/3.18  % (3873491)Instructions burned: 592 (million)
% 11.98/3.18  % (3873495)Instruction limit reached! 
% 11.98/3.18  % (3873495)------------------------------
% 11.98/3.18  % (3873495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/3.18  % (3873495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/3.18  % (3873495)CaDiCaL version: 2.1.3
% 11.98/3.18  % (3873495)Termination reason: Instruction limit
% 11.98/3.18  % (3873495)Termination phase: Property scanning
% 11.98/3.18  % (3873495)Time elapsed: 0.042 s
% 11.98/3.18  % (3873495)Peak memory usage: 165 MB
% 11.98/3.18  % (3873495)Instructions burned: 126 (million)
% 11.98/3.18  % (3873496)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2735275432:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 11.98/3.18  % (3873496)Instruction limit reached! 
% 11.98/3.18  % (3873496)------------------------------
% 11.98/3.18  % (3873496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/3.18  % (3873496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/3.18  % (3873496)CaDiCaL version: 2.1.3
% 11.98/3.18  % (3873496)Termination reason: Instruction limit
% 11.98/3.18  % (3873496)Termination phase: Property scanning
% 11.98/3.18  % (3873496)Time elapsed: 0.045 s
% 11.98/3.18  % (3873496)Peak memory usage: 165 MB
% 11.98/3.18  % (3873496)Instructions burned: 137 (million)
% 11.98/3.18  % (3873453)Refutation found. Thanks to Tanya!
% 11.98/3.18  % SZS status Theorem for theBenchmark
% 11.98/3.18  % SZS output start Proof for theBenchmark
% See solution above
% 11.98/3.18  % (3873453)------------------------------
% 11.98/3.18  % (3873453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.98/3.18  % (3873453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.98/3.18  % (3873453)CaDiCaL version: 2.1.3
% 11.98/3.18  % (3873453)Termination reason: Refutation
% 11.98/3.18  % (3873453)Time elapsed: 1.195 s
% 11.98/3.18  % (3873453)Peak memory usage: 300 MB
% 11.98/3.18  % (3873453)Instructions burned: 2976 (million)
% 11.98/3.18  % (3873453)------------------------------
% 11.98/3.18  % (3873453)------------------------------
% 11.98/3.18  % (3873447)Success in time 2.672 s
% 11.98/3.18  % Vampire exiting
%------------------------------------------------------------------------------