TSTP Solution File: KRS262+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KRS262+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : n002.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 : Sun May  5 07:18:33 EDT 2024

% Result   : Theorem 0.59s 0.75s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  10 unt;   0 def)
%            Number of atoms       :   97 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  110 (  47   ~;  35   |;  18   &)
%                                         (   5 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   82 (  67   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f108,plain,
    $false,
    inference(resolution,[],[f106,f97]) ).

fof(f97,plain,
    ! [X1] : model(X1,sK19),
    inference(cnf_transformation,[],[f74]) ).

fof(f74,plain,
    ! [X1] : model(X1,sK19),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f42,f73]) ).

fof(f73,plain,
    ( ? [X0] :
      ! [X1] : model(X1,X0)
   => ! [X1] : model(X1,sK19) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ? [X0] :
    ! [X1] : model(X1,X0),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ? [X9] :
    ! [X8] : model(X8,X9),
    file('/export/starexec/sandbox2/tmp/tmp.xTh3bK96VX/Vampire---4.8_426',tautology) ).

fof(f106,plain,
    ! [X0] : ~ model(sK0(sK19,X0),X0),
    inference(resolution,[],[f102,f97]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( ~ model(sK1(X0,X1),X0)
      | ~ model(sK0(X0,X1),X1) ),
    inference(resolution,[],[f100,f78]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( status(X0,X1,thm)
      | ~ model(sK0(X0,X1),X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( model(X2,X1)
            | ~ model(X2,X0) )
        | ~ status(X0,X1,thm) )
      & ( status(X0,X1,thm)
        | ( ~ model(sK0(X0,X1),X1)
          & model(sK0(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f48,f49]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ model(X3,X1)
          & model(X3,X0) )
     => ( ~ model(sK0(X0,X1),X1)
        & model(sK0(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( model(X2,X1)
            | ~ model(X2,X0) )
        | ~ status(X0,X1,thm) )
      & ( status(X0,X1,thm)
        | ? [X3] :
            ( ~ model(X3,X1)
            & model(X3,X0) ) ) ),
    inference(rectify,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( model(X2,X1)
            | ~ model(X2,X0) )
        | ~ status(X0,X1,thm) )
      & ( status(X0,X1,thm)
        | ? [X2] :
            ( ~ model(X2,X1)
            & model(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( model(X2,X1)
          | ~ model(X2,X0) )
    <=> status(X0,X1,thm) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( model(X2,X0)
         => model(X2,X1) )
    <=> status(X0,X1,thm) ),
    file('/export/starexec/sandbox2/tmp/tmp.xTh3bK96VX/Vampire---4.8_426',thm) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ status(X0,X1,thm)
      | ~ model(sK1(X0,X1),X0) ),
    inference(subsumption_resolution,[],[f99,f79]) ).

fof(f79,plain,
    ! [X2,X0,X1] :
      ( ~ status(X0,X1,thm)
      | ~ model(X2,X0)
      | model(X2,X1) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( ~ status(X0,X1,thm)
      | ~ model(sK1(X0,X1),X1)
      | ~ model(sK1(X0,X1),X0) ),
    inference(resolution,[],[f98,f80]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( status(X0,X1,tau)
      | ~ model(sK1(X0,X1),X1)
      | ~ model(sK1(X0,X1),X0) ),
    inference(cnf_transformation,[],[f54]) ).

fof(f54,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( model(X2,X1)
            & model(X2,X0) )
        | ~ status(X0,X1,tau) )
      & ( status(X0,X1,tau)
        | ~ model(sK1(X0,X1),X1)
        | ~ model(sK1(X0,X1),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f52,f53]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ model(X3,X1)
          | ~ model(X3,X0) )
     => ( ~ model(sK1(X0,X1),X1)
        | ~ model(sK1(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( model(X2,X1)
            & model(X2,X0) )
        | ~ status(X0,X1,tau) )
      & ( status(X0,X1,tau)
        | ? [X3] :
            ( ~ model(X3,X1)
            | ~ model(X3,X0) ) ) ),
    inference(rectify,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( model(X2,X1)
            & model(X2,X0) )
        | ~ status(X0,X1,tau) )
      & ( status(X0,X1,tau)
        | ? [X2] :
            ( ~ model(X2,X1)
            | ~ model(X2,X0) ) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ! [X2] :
          ( model(X2,X1)
          & model(X2,X0) )
    <=> status(X0,X1,tau) ),
    file('/export/starexec/sandbox2/tmp/tmp.xTh3bK96VX/Vampire---4.8_426',tau) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ status(X0,X1,tau)
      | ~ status(X0,X1,thm) ),
    inference(resolution,[],[f75,f76]) ).

fof(f76,plain,
    ! [X2,X3,X0,X1] :
      ( mighta(X0,X1)
      | ~ status(X2,X3,X1)
      | ~ status(X2,X3,X0) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( mighta(X0,X1)
      | ! [X2,X3] :
          ( ~ status(X2,X3,X1)
          | ~ status(X2,X3,X0) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( status(X2,X3,X1)
          & status(X2,X3,X0) )
     => mighta(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f36]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ? [X2,X3] :
          ( status(X2,X3,X1)
          & status(X2,X3,X0) )
    <=> mighta(X0,X1) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X6,X7] :
      ( ? [X0,X1] :
          ( status(X0,X1,X7)
          & status(X0,X1,X6) )
    <=> mighta(X6,X7) ),
    file('/export/starexec/sandbox2/tmp/tmp.xTh3bK96VX/Vampire---4.8_426',mighta) ).

fof(f75,plain,
    ~ mighta(tau,thm),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ~ mighta(tau,thm),
    inference(flattening,[],[f34]) ).

fof(f34,negated_conjecture,
    ~ mighta(tau,thm),
    inference(negated_conjecture,[],[f33]) ).

fof(f33,conjecture,
    mighta(tau,thm),
    file('/export/starexec/sandbox2/tmp/tmp.xTh3bK96VX/Vampire---4.8_426',mighta_tau_thm) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : KRS262+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.04/0.15  % 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
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 19:51:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36  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/tmp/tmp.xTh3bK96VX/Vampire---4.8_426
% 0.59/0.74  % (673)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 Vampire---4 for (2996ds/34Mi)
% 0.59/0.74  % (679)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 Vampire---4 for (2996ds/83Mi)
% 0.59/0.74  % (673)Refutation not found, incomplete strategy% (673)------------------------------
% 0.59/0.74  % (673)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (673)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (673)Memory used [KB]: 1054
% 0.59/0.74  % (673)Time elapsed: 0.002 s
% 0.59/0.74  % (673)Instructions burned: 2 (million)
% 0.59/0.74  % (673)------------------------------
% 0.59/0.74  % (673)------------------------------
% 0.59/0.74  % (679)Refutation not found, incomplete strategy% (679)------------------------------
% 0.59/0.74  % (679)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (679)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (679)Memory used [KB]: 1048
% 0.59/0.74  % (679)Time elapsed: 0.002 s
% 0.59/0.74  % (679)Instructions burned: 3 (million)
% 0.59/0.74  % (674)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 Vampire---4 for (2996ds/51Mi)
% 0.59/0.74  % (679)------------------------------
% 0.59/0.74  % (679)------------------------------
% 0.59/0.74  % (676)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.74  % (678)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.74  % (675)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.74  % (680)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.59/0.74  % (677)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 Vampire---4 for (2996ds/34Mi)
% 0.59/0.74  % (678)Refutation not found, incomplete strategy% (678)------------------------------
% 0.59/0.74  % (678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (678)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (678)Memory used [KB]: 1047
% 0.59/0.74  % (678)Time elapsed: 0.003 s
% 0.59/0.74  % (678)Instructions burned: 2 (million)
% 0.59/0.74  % (678)------------------------------
% 0.59/0.74  % (678)------------------------------
% 0.59/0.74  % (680)First to succeed.
% 0.59/0.74  % (681)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.59/0.74  % (675)Also succeeded, but the first one will report.
% 0.59/0.74  % (682)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.59/0.74  % (681)Refutation not found, incomplete strategy% (681)------------------------------
% 0.59/0.74  % (681)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.74  % (681)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.74  
% 0.59/0.74  % (681)Memory used [KB]: 1050
% 0.59/0.74  % (681)Time elapsed: 0.001 s
% 0.59/0.74  % (681)Instructions burned: 2 (million)
% 0.59/0.74  % (680)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-593"
% 0.59/0.74  % (681)------------------------------
% 0.59/0.74  % (681)------------------------------
% 0.59/0.75  % (680)Refutation found. Thanks to Tanya!
% 0.59/0.75  % SZS status Theorem for Vampire---4
% 0.59/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75  % (680)------------------------------
% 0.59/0.75  % (680)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75  % (680)Termination reason: Refutation
% 0.59/0.75  
% 0.59/0.75  % (680)Memory used [KB]: 1073
% 0.59/0.75  % (680)Time elapsed: 0.004 s
% 0.59/0.75  % (680)Instructions burned: 4 (million)
% 0.59/0.75  % (593)Success in time 0.378 s
% 0.59/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------