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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR237+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 09:44:09 AM UTC 2026

% Result   : Theorem 13.47s 2.89s
% Output   : Refutation 15.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   71 (  17 unt;   2 def)
%            Number of atoms       :  168 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  174 (  77   ~;  69   |;  21   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-1 aty)
%            Number of variables   :   67 (   0 sgn  57   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( p__d__subclass(X0,X1)
        & p__d__subclass(X1,X2) )
     => p__d__subclass(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA8) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( ( p__d__instance(X0,X1)
        & p__d__subclass(X1,X2) )
     => p__d__instance(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',predefinitionsA12) ).

fof(f110,axiom,
    ! [X0] :
      ( p__d__subclass(X0,c__Entity)
     => ? [X1] : p__d__instance(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA176) ).

fof(f112,axiom,
    p__d__subclass(c__Physical,c__Entity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA178) ).

fof(f233,axiom,
    p__d__subclass(c__Process,c__Physical),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA324) ).

fof(f1677,axiom,
    p__d__subclass(c__Motion,c__Process),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2422) ).

fof(f1746,axiom,
    p__d__subclass(c__Translocation,c__Motion),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2505) ).

fof(f1752,axiom,
    p__d__subclass(c__Transportation,c__Translocation),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mergeA2511) ).

fof(f4767,axiom,
    p__d__subclass(c__WaterTransportation,c__Transportation),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miloA2556) ).

fof(f4768,axiom,
    ! [X0] :
      ( p__d__instance(X0,c__WaterTransportation)
     => ? [X1,X2] :
          ( p__d__instance(X1,c__WaterVehicle)
          & p__d__instance(X2,c__WaterArea)
          & p__instrument(X0,X1)
          & p__eventLocated(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',miloA2557) ).

fof(f7288,axiom,
    ! [X0,X1] :
      ( p__instrument(X0,X1)
     => ( p__d__instance(X1,c__Physical)
        & p__d__instance(X0,c__Process) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',typeA435) ).

fof(f7433,conjecture,
    ? [X0,X1] :
      ( p__d__instance(X0,c__Process)
      & p__d__instance(X1,c__Physical)
      & p__d__instance(X0,c__Transportation)
      & p__d__instance(X1,c__WaterVehicle)
      & p__instrument(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',instrumentRelation0052) ).

fof(f7434,negated_conjecture,
    ~ ? [X0,X1] :
        ( p__d__instance(X0,c__Process)
        & p__d__instance(X1,c__Physical)
        & p__d__instance(X0,c__Transportation)
        & p__d__instance(X1,c__WaterVehicle)
        & p__instrument(X0,X1) ),
    inference(negated_conjecture,[status(cth)],[f7433]) ).

fof(f7532,plain,
    ! [X0,X1] :
      ( ~ p__d__instance(X0,c__Process)
      | ~ p__d__instance(X1,c__Physical)
      | ~ p__d__instance(X0,c__Transportation)
      | ~ p__d__instance(X1,c__WaterVehicle)
      | ~ p__instrument(X0,X1) ),
    inference(ennf_transformation,[],[f7434]) ).

fof(f7533,plain,
    ! [X0,X1,X2] :
      ( p__d__instance(X0,X2)
      | ~ p__d__instance(X0,X1)
      | ~ p__d__subclass(X1,X2) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f7534,plain,
    ! [X0,X1,X2] :
      ( p__d__instance(X0,X2)
      | ~ p__d__instance(X0,X1)
      | ~ p__d__subclass(X1,X2) ),
    inference(flattening,[],[f7533]) ).

fof(f7535,plain,
    ! [X0,X1] :
      ( ( p__d__instance(X1,c__Physical)
        & p__d__instance(X0,c__Process) )
      | ~ p__instrument(X0,X1) ),
    inference(ennf_transformation,[],[f7288]) ).

fof(f7597,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( p__d__instance(X1,c__WaterVehicle)
          & p__d__instance(X2,c__WaterArea)
          & p__instrument(X0,X1)
          & p__eventLocated(X0,X2) )
      | ~ p__d__instance(X0,c__WaterTransportation) ),
    inference(ennf_transformation,[],[f4768]) ).

fof(f7602,plain,
    ! [X0,X1,X2] :
      ( p__d__subclass(X0,X2)
      | ~ p__d__subclass(X0,X1)
      | ~ p__d__subclass(X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f7603,plain,
    ! [X0,X1,X2] :
      ( p__d__subclass(X0,X2)
      | ~ p__d__subclass(X0,X1)
      | ~ p__d__subclass(X1,X2) ),
    inference(flattening,[],[f7602]) ).

fof(f8660,plain,
    ! [X0] :
      ( ? [X1] : p__d__instance(X1,X0)
      | ~ p__d__subclass(X0,c__Entity) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f9071,plain,
    ! [X0] :
      ( ( p__d__instance(sK22(X0),c__WaterVehicle)
        & p__d__instance(sK23(X0),c__WaterArea)
        & p__instrument(X0,sK22(X0))
        & p__eventLocated(X0,sK23(X0)) )
      | ~ p__d__instance(X0,c__WaterTransportation) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23]),skolemize(X1,sK22(X0)),skolemize(X2,sK23(X0))],[f7597]) ).

fof(f9546,plain,
    ! [X0] :
      ( p__d__instance(sK454(X0),X0)
      | ~ p__d__subclass(X0,c__Entity) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK454]),skolemize(X1,sK454(X0))],[f8660]) ).

fof(f9712,plain,
    ! [X0,X1] :
      ( ~ p__d__instance(X0,c__Process)
      | ~ p__d__instance(X1,c__Physical)
      | ~ p__d__instance(X0,c__Transportation)
      | ~ p__d__instance(X1,c__WaterVehicle)
      | ~ p__instrument(X0,X1) ),
    inference(cnf_transformation,[],[f7532]) ).

fof(f9713,plain,
    ! [X2,X0,X1] :
      ( p__d__instance(X0,X2)
      | ~ p__d__instance(X0,X1)
      | ~ p__d__subclass(X1,X2) ),
    inference(cnf_transformation,[],[f7534]) ).

fof(f9714,plain,
    ! [X0,X1] :
      ( ~ p__instrument(X0,X1)
      | p__d__instance(X0,c__Process) ),
    inference(cnf_transformation,[],[f7535]) ).

fof(f9715,plain,
    ! [X0,X1] :
      ( ~ p__instrument(X0,X1)
      | p__d__instance(X1,c__Physical) ),
    inference(cnf_transformation,[],[f7535]) ).

fof(f9731,plain,
    p__d__subclass(c__Process,c__Physical),
    inference(cnf_transformation,[],[f233]) ).

fof(f9769,plain,
    p__d__subclass(c__Motion,c__Process),
    inference(cnf_transformation,[],[f1677]) ).

fof(f9790,plain,
    p__d__subclass(c__WaterTransportation,c__Transportation),
    inference(cnf_transformation,[],[f4767]) ).

fof(f9798,plain,
    p__d__subclass(c__Transportation,c__Translocation),
    inference(cnf_transformation,[],[f1752]) ).

fof(f9801,plain,
    ! [X0] :
      ( p__instrument(X0,sK22(X0))
      | ~ p__d__instance(X0,c__WaterTransportation) ),
    inference(cnf_transformation,[],[f9071]) ).

fof(f9803,plain,
    ! [X0] :
      ( p__d__instance(sK22(X0),c__WaterVehicle)
      | ~ p__d__instance(X0,c__WaterTransportation) ),
    inference(cnf_transformation,[],[f9071]) ).

fof(f9810,plain,
    ! [X2,X0,X1] :
      ( p__d__subclass(X0,X2)
      | ~ p__d__subclass(X0,X1)
      | ~ p__d__subclass(X1,X2) ),
    inference(cnf_transformation,[],[f7603]) ).

fof(f10304,plain,
    p__d__subclass(c__Translocation,c__Motion),
    inference(cnf_transformation,[],[f1746]) ).

fof(f12237,plain,
    p__d__subclass(c__Physical,c__Entity),
    inference(cnf_transformation,[],[f112]) ).

fof(f12238,plain,
    ! [X0] :
      ( p__d__instance(sK454(X0),X0)
      | ~ p__d__subclass(X0,c__Entity) ),
    inference(cnf_transformation,[],[f9546]) ).

fof(f13370,plain,
    ! [X0,X1] :
      ( ~ p__d__instance(X1,c__Physical)
      | ~ p__d__instance(X0,c__Transportation)
      | ~ p__d__instance(X1,c__WaterVehicle)
      | ~ p__instrument(X0,X1) ),
    inference(forward_subsumption_resolution,[],[f9712,f9714]) ).

fof(f13371,plain,
    ! [X0,X1] :
      ( ~ p__instrument(X0,X1)
      | ~ p__d__instance(X1,c__WaterVehicle)
      | ~ p__d__instance(X0,c__Transportation) ),
    inference(forward_subsumption_resolution,[],[f13370,f9715]) ).

fof(f13373,plain,
    ! [X0] :
      ( ~ p__d__instance(sK22(X0),c__WaterVehicle)
      | ~ p__d__instance(X0,c__Transportation)
      | ~ p__d__instance(X0,c__WaterTransportation) ),
    inference(resolution,[],[f13371,f9801]) ).

fof(f13406,plain,
    ! [X0] :
      ( ~ p__d__instance(X0,c__WaterTransportation)
      | ~ p__d__instance(X0,c__Transportation) ),
    inference(forward_subsumption_resolution,[],[f13373,f9803]) ).

fof(f13418,plain,
    ( ~ p__d__instance(sK454(c__WaterTransportation),c__Transportation)
    | ~ p__d__subclass(c__WaterTransportation,c__Entity) ),
    inference(resolution,[],[f13406,f12238]) ).

fof(f13434,definition,
    ( spl616_1
  <=> p__d__subclass(c__WaterTransportation,c__Entity) ),
    introduced(definition,[new_symbols(definition,[spl616_1])],[avatar_definition]) ).

fof(f13435,plain,
    ( p__d__subclass(c__WaterTransportation,c__Entity)
    | ~ spl616_1 ),
    inference(avatar_component_clause,[],[f13434]) ).

fof(f13436,plain,
    ( ~ p__d__subclass(c__WaterTransportation,c__Entity)
    | spl616_1 ),
    inference(avatar_component_clause,[],[f13434]) ).

fof(f13438,definition,
    ( spl616_2
  <=> p__d__instance(sK454(c__WaterTransportation),c__Transportation) ),
    introduced(definition,[new_symbols(definition,[spl616_2])],[avatar_definition]) ).

fof(f13440,plain,
    ( ~ p__d__instance(sK454(c__WaterTransportation),c__Transportation)
    | spl616_2 ),
    inference(avatar_component_clause,[],[f13438]) ).

fof(f13441,plain,
    ( ~ spl616_1
    | ~ spl616_2 ),
    inference(avatar_split_clause,[],[f13418,f13438,f13434]) ).

fof(f13442,plain,
    ( ! [X0] :
        ( ~ p__d__subclass(c__WaterTransportation,X0)
        | ~ p__d__subclass(X0,c__Entity) )
    | spl616_1 ),
    inference(resolution,[],[f13436,f9810]) ).

fof(f13445,plain,
    ( ~ p__d__subclass(c__Transportation,c__Entity)
    | spl616_1 ),
    inference(resolution,[],[f13442,f9790]) ).

fof(f13446,plain,
    ( ! [X0] :
        ( ~ p__d__subclass(c__Transportation,X0)
        | ~ p__d__subclass(X0,c__Entity) )
    | spl616_1 ),
    inference(resolution,[],[f13445,f9810]) ).

fof(f13449,plain,
    ( ~ p__d__subclass(c__Translocation,c__Entity)
    | spl616_1 ),
    inference(resolution,[],[f13446,f9798]) ).

fof(f13450,plain,
    ( ! [X0] :
        ( ~ p__d__subclass(c__Translocation,X0)
        | ~ p__d__subclass(X0,c__Entity) )
    | spl616_1 ),
    inference(resolution,[],[f13449,f9810]) ).

fof(f13453,plain,
    ( ~ p__d__subclass(c__Motion,c__Entity)
    | spl616_1 ),
    inference(resolution,[],[f13450,f10304]) ).

fof(f13455,plain,
    ( ! [X0] :
        ( ~ p__d__subclass(c__Motion,X0)
        | ~ p__d__subclass(X0,c__Entity) )
    | spl616_1 ),
    inference(resolution,[],[f13453,f9810]) ).

fof(f13458,plain,
    ( ~ p__d__subclass(c__Process,c__Entity)
    | spl616_1 ),
    inference(resolution,[],[f13455,f9769]) ).

fof(f13459,plain,
    ( ! [X0] :
        ( ~ p__d__subclass(c__Process,X0)
        | ~ p__d__subclass(X0,c__Entity) )
    | spl616_1 ),
    inference(resolution,[],[f13458,f9810]) ).

fof(f13462,plain,
    ( ~ p__d__subclass(c__Physical,c__Entity)
    | spl616_1 ),
    inference(resolution,[],[f13459,f9731]) ).

fof(f13463,plain,
    ( $false
    | spl616_1 ),
    inference(forward_subsumption_resolution,[],[f13462,f12237]) ).

fof(f13464,plain,
    spl616_1,
    inference(avatar_contradiction_clause,[],[f13463]) ).

fof(f13465,plain,
    ( ! [X0] :
        ( ~ p__d__instance(sK454(c__WaterTransportation),X0)
        | ~ p__d__subclass(X0,c__Transportation) )
    | spl616_2 ),
    inference(resolution,[],[f13440,f9713]) ).

fof(f13466,plain,
    ( ~ p__d__subclass(c__WaterTransportation,c__Transportation)
    | ~ p__d__subclass(c__WaterTransportation,c__Entity)
    | spl616_2 ),
    inference(resolution,[],[f13465,f12238]) ).

fof(f13479,plain,
    ( ~ p__d__subclass(c__WaterTransportation,c__Entity)
    | spl616_2 ),
    inference(forward_subsumption_resolution,[],[f13466,f9790]) ).

fof(f13480,plain,
    ( $false
    | ~ spl616_1
    | spl616_2 ),
    inference(forward_subsumption_resolution,[],[f13479,f13435]) ).

fof(f13481,plain,
    ( ~ spl616_1
    | spl616_2 ),
    inference(avatar_contradiction_clause,[],[f13480]) ).

cnf(s1,plain,
    ( ~ spl616_1
    | ~ spl616_2 ),
    inference(sat_conversion,[],[f13441]) ).

cnf(s2,plain,
    spl616_1,
    inference(sat_conversion,[],[f13464]) ).

cnf(s3,plain,
    ( ~ spl616_1
    | spl616_2 ),
    inference(sat_conversion,[],[f13481]) ).

cnf(s4,plain,
    spl616_2,
    inference(rat,[],[s3,s2]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s1,s4,s2]) ).

fof(f13482,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR237+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18  % Computer : n015.cluster.edu
% 0.06/0.18  % Model    : x86_64 x86_64
% 0.06/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18  % Memory   : 8046.5625MB
% 0.06/0.18  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Mon Sep 28 23:53:47 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.21  Running first-order theorem proving
% 0.06/0.21  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
% 6.10/1.79  % (3157410)Detected formulas, will run a generic FOF schedule.
% 6.10/1.79  % (3157416)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=915309446:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 6.10/1.79  % (3157415)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=2659695233:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 6.10/1.79  % (3157417)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=2997906670:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 6.10/1.79  % (3157419)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2285773102:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 6.10/1.79  % (3157418)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=597876725:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 6.10/1.79  % (3157420)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3393306064:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 6.10/1.79  % (3157421)dis-21_1_sil=8000:lcm=predicate:random_seed=151199127:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 6.10/1.79  % (3157418)Refutation not found, incomplete strategy
% 6.10/1.79  % (3157418)------------------------------
% 6.10/1.79  % (3157418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.79  % (3157418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.79  % (3157418)CaDiCaL version: 2.1.3
% 6.10/1.79  % (3157418)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.79  % (3157418)Time elapsed: 0.016 s
% 6.10/1.79  % (3157418)Peak memory usage: 92 MB
% 6.10/1.79  % (3157418)Instructions burned: 23 (million)
% 6.10/1.79  % (3157419)Instruction limit reached! 
% 6.10/1.79  % (3157419)------------------------------
% 6.10/1.79  % (3157419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.79  % (3157419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.79  % (3157419)CaDiCaL version: 2.1.3
% 6.10/1.79  % (3157419)Termination reason: Instruction limit
% 6.10/1.79  % (3157419)Termination phase: Saturation
% 6.10/1.79  % (3157419)Time elapsed: 0.066 s
% 6.10/1.79  % (3157419)Peak memory usage: 94 MB
% 6.10/1.79  % (3157419)Instructions burned: 119 (million)
% 6.10/1.79  % (3157421)Instruction limit reached! 
% 6.10/1.79  % (3157421)------------------------------
% 6.10/1.79  % (3157421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.79  % (3157421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.79  % (3157421)CaDiCaL version: 2.1.3
% 6.10/1.79  % (3157421)Termination reason: Instruction limit
% 6.10/1.79  % (3157421)Termination phase: Saturation
% 6.10/1.79  % (3157421)Time elapsed: 0.074 s
% 6.10/1.79  % (3157421)Peak memory usage: 95 MB
% 6.10/1.79  % (3157421)Instructions burned: 131 (million)
% 6.10/1.79  % (3157420)Instruction limit reached! 
% 6.10/1.79  % (3157420)------------------------------
% 6.10/1.79  % (3157420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.79  % (3157420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.79  % (3157420)CaDiCaL version: 2.1.3
% 6.10/1.79  % (3157420)Termination reason: Instruction limit
% 6.10/1.79  % (3157420)Termination phase: Preprocessing 3
% 6.10/1.79  % (3157420)Time elapsed: 0.091 s
% 6.10/1.79  % (3157420)Peak memory usage: 94 MB
% 6.10/1.79  % (3157420)Instructions burned: 139 (million)
% 6.10/1.79  % (3157429)lrs+10_1_sil=8000:sp=occurrence:random_seed=2042343089:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 6.10/1.79  % (3157430)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2596813106:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 6.10/1.79  % (3157429)Refutation not found, incomplete strategy
% 6.10/1.79  % (3157429)------------------------------
% 6.10/1.79  % (3157429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.79  % (3157429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.79  % (3157429)CaDiCaL version: 2.1.3
% 6.10/1.79  % (3157429)Termination reason: Refutation not found, incomplete strategy
% 12.63/2.60  % (3157429)Time elapsed: 0.017 s
% 12.63/2.60  % (3157429)Peak memory usage: 93 MB
% 12.63/2.60  % (3157429)Instructions burned: 20 (million)
% 12.63/2.60  % (3157431)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1496149157:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 12.63/2.60  % (3157418)------------------------------
% 12.63/2.60  % (3157418)------------------------------
% 12.63/2.60  % (3157430)Refutation not found, incomplete strategy
% 12.63/2.60  % (3157430)------------------------------
% 12.63/2.60  % (3157430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.63/2.60  % (3157430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/2.60  % (3157430)CaDiCaL version: 2.1.3
% 12.63/2.60  % (3157430)Termination reason: Refutation not found, incomplete strategy
% 12.63/2.60  % (3157430)Time elapsed: 0.031 s
% 12.63/2.60  % (3157430)Peak memory usage: 93 MB
% 12.63/2.60  % (3157430)Instructions burned: 60 (million)
% 12.63/2.60  % (3157431)Refutation not found, incomplete strategy
% 12.63/2.60  % (3157431)------------------------------
% 12.63/2.60  % (3157431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.63/2.60  % (3157431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.63/2.60  % (3157431)CaDiCaL version: 2.1.3
% 12.63/2.60  % (3157431)Termination reason: Refutation not found, incomplete strategy
% 12.63/2.60  % (3157431)Time elapsed: 0.018 s
% 12.63/2.60  % (3157431)Peak memory usage: 94 MB
% 12.63/2.60  % (3157431)Instructions burned: 21 (million)
% 12.63/2.60  [W928 23:53:49.186832069 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 12.63/2.60  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.63/2.60  [W928 23:53:49.186871236 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 12.63/2.60  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.63/2.60  [W928 23:53:49.186908623 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 12.63/2.60  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.63/2.60  [W928 23:53:49.186939899 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 12.63/2.60  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.63/2.60  [W928 23:53:49.186967216 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 12.63/2.60  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.63/2.60  [W928 23:53:49.186978116 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 12.63/2.60  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.63/2.60  [W928 23:53:49.187052107 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 12.63/2.60  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.63/2.60  [W928 23:53:49.187088110 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 12.63/2.60  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 12.63/2.60  [W928 23:53:49.187136964 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.47/2.89  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.47/2.89  [W928 23:53:49.187191671 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.47/2.89  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.47/2.89  [W928 23:53:49.187240515 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.47/2.89  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.47/2.89  [W928 23:53:49.187255395 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type  (currently Float) in python but a tensor of type int in torchscript.
% 13.47/2.89  Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 13.47/2.89  % (3157435)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=2752738498:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 13.47/2.89  % (3157429)------------------------------
% 13.47/2.89  % (3157429)------------------------------
% 13.47/2.89  % (3157430)------------------------------
% 13.47/2.89  % (3157430)------------------------------
% 13.47/2.89  % (3157431)------------------------------
% 13.47/2.89  % (3157431)------------------------------
% 13.47/2.89  % (3157435)Instruction limit reached! 
% 13.47/2.89  % (3157435)------------------------------
% 13.47/2.89  % (3157435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.47/2.89  % (3157435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.89  % (3157435)CaDiCaL version: 2.1.3
% 13.47/2.89  % (3157435)Termination reason: Instruction limit
% 13.47/2.89  % (3157435)Termination phase: Saturation
% 13.47/2.89  % (3157435)Time elapsed: 0.134 s
% 13.47/2.89  % (3157435)Peak memory usage: 99 MB
% 13.47/2.89  % (3157435)Instructions burned: 250 (million)
% 13.47/2.89  % (3157437)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1567442651:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 13.47/2.89  % (3157417)Refutation not found, incomplete strategy
% 13.47/2.89  % (3157417)------------------------------
% 13.47/2.89  % (3157417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.47/2.89  % (3157417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.89  % (3157417)CaDiCaL version: 2.1.3
% 13.47/2.89  % (3157417)Termination reason: Refutation not found, incomplete strategy
% 13.47/2.89  % (3157417)Time elapsed: 0.657 s
% 13.47/2.89  % (3157417)Peak memory usage: 151 MB
% 13.47/2.89  % (3157417)Instructions burned: 955 (million)
% 13.47/2.89  % (3157438)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4072712546:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 13.47/2.89  % (3157439)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2217067961:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 13.47/2.89  % (3157439)Refutation not found, incomplete strategy
% 13.47/2.89  % (3157439)------------------------------
% 13.47/2.89  % (3157439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.47/2.89  % (3157439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.89  % (3157439)CaDiCaL version: 2.1.3
% 13.47/2.89  % (3157439)Termination reason: Refutation not found, incomplete strategy
% 13.47/2.89  % (3157439)Time elapsed: 0.018 s
% 13.47/2.89  % (3157439)Peak memory usage: 94 MB
% 13.47/2.89  % (3157439)Instructions burned: 24 (million)
% 13.47/2.89  % (3157440)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3528814506:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 13.47/2.89  % (3157437)Instruction limit reached! 
% 13.47/2.89  % (3157437)------------------------------
% 13.47/2.89  % (3157437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.47/2.89  % (3157437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.89  % (3157437)CaDiCaL version: 2.1.3
% 13.47/2.89  % (3157437)Termination reason: Instruction limit
% 13.47/2.89  % (3157437)Termination phase: Saturation
% 13.47/2.89  % (3157437)Time elapsed: 0.150 s
% 13.47/2.89  % (3157437)Peak memory usage: 94 MB
% 13.47/2.89  % (3157437)Instructions burned: 295 (million)
% 13.47/2.89  % (3157440)Instruction limit reached! 
% 13.47/2.89  % (3157440)------------------------------
% 13.47/2.89  % (3157440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.47/2.89  % (3157440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.89  % (3157440)CaDiCaL version: 2.1.3
% 13.47/2.89  % (3157440)Termination reason: Instruction limit
% 13.47/2.89  % (3157440)Termination phase: Property scanning
% 13.47/2.89  % (3157440)Time elapsed: 0.079 s
% 13.47/2.89  % (3157440)Peak memory usage: 96 MB
% 13.47/2.89  % (3157440)Instructions burned: 128 (million)
% 13.47/2.89  % (3157417)------------------------------
% 13.47/2.89  % (3157417)------------------------------
% 13.47/2.89  % (3157439)------------------------------
% 13.47/2.89  % (3157439)------------------------------
% 13.47/2.89  % (3157445)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4248145162:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 13.47/2.89  % (3157446)lrs+10_1_sil=8000:sp=occurrence:random_seed=2046523311:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 13.47/2.89  % (3157445)Instruction limit reached! 
% 13.47/2.89  % (3157445)------------------------------
% 13.47/2.89  % (3157445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.47/2.89  % (3157445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.89  % (3157445)CaDiCaL version: 2.1.3
% 13.47/2.89  % (3157445)Termination reason: Instruction limit
% 13.47/2.89  % (3157445)Termination phase: Property scanning
% 13.47/2.89  % (3157445)Time elapsed: 0.060 s
% 13.47/2.89  % (3157445)Peak memory usage: 92 MB
% 13.47/2.89  % (3157445)Instructions burned: 116 (million)
% 13.47/2.89  % (3157447)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1861096065:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 13.47/2.89  % (3157447)Refutation not found, incomplete strategy
% 13.47/2.89  % (3157447)------------------------------
% 13.47/2.89  % (3157447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.47/2.89  % (3157447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.89  % (3157447)CaDiCaL version: 2.1.3
% 13.47/2.89  % (3157447)Termination reason: Refutation not found, incomplete strategy
% 13.47/2.89  % (3157447)Time elapsed: 0.016 s
% 13.47/2.89  % (3157447)Peak memory usage: 93 MB
% 13.47/2.89  % (3157447)Instructions burned: 19 (million)
% 13.47/2.89  % (3157449)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3892475189:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 13.47/2.89  % (3157451)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1877157813:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 13.47/2.89  % (3157451)Refutation not found, incomplete strategy
% 13.47/2.89  % (3157451)------------------------------
% 13.47/2.89  % (3157451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.47/2.89  % (3157451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.89  % (3157451)CaDiCaL version: 2.1.3
% 13.47/2.89  % (3157451)Termination reason: Refutation not found, incomplete strategy
% 13.47/2.89  % (3157451)Time elapsed: 0.017 s
% 13.47/2.89  % (3157451)Peak memory usage: 94 MB
% 13.47/2.89  % (3157451)Instructions burned: 24 (million)
% 13.47/2.89  % (3157447)------------------------------
% 13.47/2.89  % (3157447)------------------------------
% 13.47/2.89  % (3157451)------------------------------
% 13.47/2.89  % (3157451)------------------------------
% 13.47/2.89  % (3157446)Instruction limit reached! 
% 13.47/2.89  % (3157446)------------------------------
% 13.47/2.89  % (3157446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.47/2.89  % (3157446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.89  % (3157446)CaDiCaL version: 2.1.3
% 13.47/2.89  % (3157446)Termination reason: Instruction limit
% 13.47/2.89  % (3157446)Termination phase: Saturation
% 13.47/2.89  % (3157446)Time elapsed: 0.499 s
% 13.47/2.89  % (3157446)Peak memory usage: 104 MB
% 13.47/2.89  % (3157446)Instructions burned: 908 (million)
% 13.47/2.89  % (3157455)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3253571773:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 13.47/2.89  % (3157456)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2230435864:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 13.47/2.89  % (3157455)First to succeed.
% 13.47/2.89  % (3157455)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3157410"
% 13.47/2.89  % (3157457)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=2354856109:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 13.47/2.89  % (3157457)Refutation not found, incomplete strategy
% 13.47/2.89  % (3157457)------------------------------
% 13.47/2.89  % (3157457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.47/2.89  % (3157457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.47/2.89  % (3157457)CaDiCaL version: 2.1.3
% 13.47/2.89  % (3157457)Termination reason: Refutation not found, incomplete strategy
% 13.47/2.89  % (3157457)Time elapsed: 0.045 s
% 13.47/2.89  % (3157457)Peak memory usage: 94 MB
% 13.47/2.89  % (3157457)Instructions burned: 79 (million)
% 13.47/2.89  % (3157455)Refutation found. Thanks to Tanya!
% 13.47/2.89  % SZS status Theorem for theBenchmark
% 13.47/2.89  % SZS output start Proof for theBenchmark
% See solution above
% 15.33/3.08  % (3157455)------------------------------
% 15.33/3.08  % (3157455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.33/3.08  % (3157455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.33/3.08  % (3157455)CaDiCaL version: 2.1.3
% 15.33/3.08  % (3157455)Termination reason: Refutation
% 15.33/3.08  % (3157455)Time elapsed: 0.111 s
% 15.33/3.08  % (3157455)Peak memory usage: 99 MB
% 15.33/3.08  % (3157455)Instructions burned: 185 (million)
% 15.33/3.08  % (3157455)------------------------------
% 15.33/3.08  % (3157455)------------------------------
% 15.33/3.08  % (3157410)Success in time 2.227 s
% 15.33/3.08  % Vampire exiting
%------------------------------------------------------------------------------