TSTP Solution File: SWV373+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV373+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 05:55:28 EDT 2024

% Result   : Theorem 0.61s 0.85s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   43 (  10 unt;   0 def)
%            Number of atoms       :   87 (  27 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   78 (  34   ~;  26   |;   7   &)
%                                         (   4 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   65 (  59   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f160,plain,
    $false,
    inference(avatar_sat_refutation,[],[f117,f154,f159]) ).

fof(f159,plain,
    ( spl3_1
    | ~ spl3_2 ),
    inference(avatar_contradiction_clause,[],[f158]) ).

fof(f158,plain,
    ( $false
    | spl3_1
    | ~ spl3_2 ),
    inference(subsumption_resolution,[],[f157,f111]) ).

fof(f111,plain,
    ( create_slb != sK1
    | spl3_1 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl3_1
  <=> create_slb = sK1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).

fof(f157,plain,
    ( create_slb = sK1
    | ~ spl3_2 ),
    inference(subsumption_resolution,[],[f156,f116]) ).

fof(f116,plain,
    ( contains_slb(sK1,findmin_pqp_res(sK0))
    | ~ spl3_2 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl3_2
  <=> contains_slb(sK1,findmin_pqp_res(sK0)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).

fof(f156,plain,
    ( ~ contains_slb(sK1,findmin_pqp_res(sK0))
    | create_slb = sK1 ),
    inference(superposition,[],[f133,f91]) ).

fof(f91,plain,
    ! [X2,X0,X1] :
      ( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
      | create_slb = X1 ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2))
      | create_slb = X1 ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( create_slb != X1
     => findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3] :
      ( create_slb != X1
     => findmin_pqp_res(X0) = findmin_cpq_res(triple(X0,X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).

fof(f133,plain,
    ~ contains_slb(sK1,findmin_cpq_res(triple(sK0,sK1,sK2))),
    inference(resolution,[],[f78,f96]) ).

fof(f96,plain,
    ! [X2,X3,X0,X1] :
      ( contains_cpq(triple(X0,X1,X2),X3)
      | ~ contains_slb(X1,X3) ),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X0,X1,X2,X3] :
      ( ( contains_cpq(triple(X0,X1,X2),X3)
        | ~ contains_slb(X1,X3) )
      & ( contains_slb(X1,X3)
        | ~ contains_cpq(triple(X0,X1,X2),X3) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1,X2,X3] :
      ( contains_cpq(triple(X0,X1,X2),X3)
    <=> contains_slb(X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).

fof(f78,plain,
    ~ contains_cpq(triple(sK0,sK1,sK2),findmin_cpq_res(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ( ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
    & ~ contains_cpq(triple(sK0,sK1,sK2),findmin_cpq_res(triple(sK0,sK1,sK2))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f53,f70]) ).

fof(f70,plain,
    ( ? [X0,X1,X2] :
        ( ok(findmin_cpq_eff(triple(X0,X1,X2)))
        & ~ contains_cpq(triple(X0,X1,X2),findmin_cpq_res(triple(X0,X1,X2))) )
   => ( ok(findmin_cpq_eff(triple(sK0,sK1,sK2)))
      & ~ contains_cpq(triple(sK0,sK1,sK2),findmin_cpq_res(triple(sK0,sK1,sK2))) ) ),
    introduced(choice_axiom,[]) ).

fof(f53,plain,
    ? [X0,X1,X2] :
      ( ok(findmin_cpq_eff(triple(X0,X1,X2)))
      & ~ contains_cpq(triple(X0,X1,X2),findmin_cpq_res(triple(X0,X1,X2))) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ~ contains_cpq(triple(X0,X1,X2),findmin_cpq_res(triple(X0,X1,X2)))
       => ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
    inference(negated_conjecture,[],[f43]) ).

fof(f43,conjecture,
    ! [X0,X1,X2] :
      ( ~ contains_cpq(triple(X0,X1,X2),findmin_cpq_res(triple(X0,X1,X2)))
     => ~ ok(findmin_cpq_eff(triple(X0,X1,X2))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l9_co) ).

fof(f154,plain,
    ~ spl3_1,
    inference(avatar_contradiction_clause,[],[f153]) ).

fof(f153,plain,
    ( $false
    | ~ spl3_1 ),
    inference(subsumption_resolution,[],[f152,f90]) ).

fof(f90,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f46]) ).

fof(f46,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(true_and_false_elimination,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ok(triple(X0,X1,bad))
    <=> $false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).

fof(f152,plain,
    ( ok(triple(sK0,create_slb,bad))
    | ~ spl3_1 ),
    inference(forward_demodulation,[],[f149,f97]) ).

fof(f97,plain,
    ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ! [X0,X1] : findmin_cpq_eff(triple(X0,create_slb,X1)) = triple(X0,create_slb,bad),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).

fof(f149,plain,
    ( ok(findmin_cpq_eff(triple(sK0,create_slb,sK2)))
    | ~ spl3_1 ),
    inference(superposition,[],[f79,f112]) ).

fof(f112,plain,
    ( create_slb = sK1
    | ~ spl3_1 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f79,plain,
    ok(findmin_cpq_eff(triple(sK0,sK1,sK2))),
    inference(cnf_transformation,[],[f71]) ).

fof(f117,plain,
    ( spl3_1
    | spl3_2 ),
    inference(avatar_split_clause,[],[f108,f114,f110]) ).

fof(f108,plain,
    ( contains_slb(sK1,findmin_pqp_res(sK0))
    | create_slb = sK1 ),
    inference(subsumption_resolution,[],[f105,f90]) ).

fof(f105,plain,
    ( ok(triple(sK0,update_slb(sK1,findmin_pqp_res(sK0)),bad))
    | contains_slb(sK1,findmin_pqp_res(sK0))
    | create_slb = sK1 ),
    inference(superposition,[],[f79,f94]) ).

fof(f94,plain,
    ! [X2,X0,X1] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(cnf_transformation,[],[f65]) ).

fof(f65,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(flattening,[],[f64]) ).

fof(f64,plain,
    ! [X0,X1,X2] :
      ( findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad)
      | contains_slb(X1,findmin_pqp_res(X0))
      | create_slb = X1 ),
    inference(ennf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1,X2] :
      ( ( ~ contains_slb(X1,findmin_pqp_res(X0))
        & create_slb != X1 )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    inference(rectify,[],[f35]) ).

fof(f35,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ~ contains_slb(X1,findmin_pqp_res(X0))
        & create_slb != X1 )
     => findmin_cpq_eff(triple(X0,X1,X2)) = triple(X0,update_slb(X1,findmin_pqp_res(X0)),bad) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV373+1 : TPTP v8.2.0. Released v3.3.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 07:50:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.84  % (25091)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.61/0.84  % (25088)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.61/0.84  % (25090)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.61/0.84  % (25089)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.61/0.84  % (25093)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.61/0.84  % (25092)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.61/0.84  % (25094)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.61/0.84  % (25095)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.61/0.84  % (25088)Refutation not found, incomplete strategy% (25088)------------------------------
% 0.61/0.84  % (25088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (25088)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (25088)Memory used [KB]: 1117
% 0.61/0.84  % (25095)Refutation not found, incomplete strategy% (25095)------------------------------
% 0.61/0.84  % (25095)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.84  % (25095)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.84  
% 0.61/0.84  % (25095)Memory used [KB]: 1099
% 0.61/0.84  % (25095)Time elapsed: 0.003 s
% 0.61/0.84  % (25095)Instructions burned: 3 (million)
% 0.61/0.84  % (25088)Time elapsed: 0.005 s
% 0.61/0.84  % (25088)Instructions burned: 5 (million)
% 0.61/0.84  % (25093)First to succeed.
% 0.61/0.84  % (25095)------------------------------
% 0.61/0.84  % (25095)------------------------------
% 0.61/0.84  % (25088)------------------------------
% 0.61/0.84  % (25088)------------------------------
% 0.61/0.84  % (25094)Also succeeded, but the first one will report.
% 0.61/0.84  % (25093)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25025"
% 0.61/0.84  % (25090)Also succeeded, but the first one will report.
% 0.61/0.84  % (25089)Also succeeded, but the first one will report.
% 0.61/0.85  % (25093)Refutation found. Thanks to Tanya!
% 0.61/0.85  % SZS status Theorem for theBenchmark
% 0.61/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 0.61/0.85  % (25093)------------------------------
% 0.61/0.85  % (25093)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.85  % (25093)Termination reason: Refutation
% 0.61/0.85  
% 0.61/0.85  % (25093)Memory used [KB]: 1124
% 0.61/0.85  % (25093)Time elapsed: 0.005 s
% 0.61/0.85  % (25093)Instructions burned: 6 (million)
% 0.61/0.85  % (25025)Success in time 0.477 s
% 0.61/0.85  % Vampire---4.8 exiting
%------------------------------------------------------------------------------