TSTP Solution File: COM125+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 04:46:55 EDT 2024

% Result   : Theorem 0.56s 0.74s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   41 (   8 unt;   0 def)
%            Number of atoms       :  134 (  37 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  159 (  66   ~;  45   |;  33   &)
%                                         (   1 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-3 aty)
%            Number of variables   :  143 ( 125   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f190,plain,
    $false,
    inference(avatar_sat_refutation,[],[f181,f189]) ).

fof(f189,plain,
    ~ spl6_1,
    inference(avatar_contradiction_clause,[],[f188]) ).

fof(f188,plain,
    ( $false
    | ~ spl6_1 ),
    inference(subsumption_resolution,[],[f187,f152]) ).

fof(f152,plain,
    ! [X0,X4,X5] : ~ visFreeVar(X4,vabs(X4,X0,X5)),
    inference(equality_resolution,[],[f151]) ).

fof(f151,plain,
    ! [X0,X1,X4,X5] :
      ( ~ visFreeVar(X1,vabs(X4,X0,X5))
      | X1 != X4 ),
    inference(equality_resolution,[],[f150]) ).

fof(f150,plain,
    ! [X2,X0,X1,X4,X5] :
      ( ~ visFreeVar(X1,X2)
      | vabs(X4,X0,X5) != X2
      | X1 != X4 ),
    inference(equality_resolution,[],[f118]) ).

fof(f118,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X3 != X4
      | ~ visFreeVar(X1,X2)
      | vabs(X3,X0,X5) != X2
      | X1 != X4 ),
    inference(cnf_transformation,[],[f86]) ).

fof(f86,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( ( ( visFreeVar(X4,X5)
            & X3 != X4 )
          | ~ visFreeVar(X1,X2) )
        & ( visFreeVar(X1,X2)
          | ~ visFreeVar(X4,X5)
          | X3 = X4 ) )
      | vabs(X3,X0,X5) != X2
      | X1 != X4 ),
    inference(flattening,[],[f85]) ).

fof(f85,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( ( ( visFreeVar(X4,X5)
            & X3 != X4 )
          | ~ visFreeVar(X1,X2) )
        & ( visFreeVar(X1,X2)
          | ~ visFreeVar(X4,X5)
          | X3 = X4 ) )
      | vabs(X3,X0,X5) != X2
      | X1 != X4 ),
    inference(ennf_transformation,[],[f66]) ).

fof(f66,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vabs(X3,X0,X5) = X2
        & X1 = X4 )
     => ( ( visFreeVar(X1,X2)
         => ( visFreeVar(X4,X5)
            & X3 != X4 ) )
        & ( ( visFreeVar(X4,X5)
            & X3 != X4 )
         => visFreeVar(X1,X2) ) ) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X14,X0,X3,X8,X13,X10] :
      ( ( vabs(X8,X14,X10) = X3
        & X0 = X13 )
     => ( ( visFreeVar(X0,X3)
         => ( visFreeVar(X13,X10)
            & X8 != X13 ) )
        & ( ( visFreeVar(X13,X10)
            & X8 != X13 )
         => visFreeVar(X0,X3) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.YP71TbVpyY/Vampire---4.8_29867',isFreeVar1) ).

fof(f187,plain,
    ( visFreeVar(sK3,vabs(sK3,sK4,veabs))
    | ~ spl6_1 ),
    inference(subsumption_resolution,[],[f185,f107]) ).

fof(f107,plain,
    vtcheck(sK2,vabs(sK3,sK4,veabs),sK5),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ( ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
    & vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
    & ~ visFreeVar(sK0,vabs(sK3,sK4,veabs)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f78,f104]) ).

fof(f104,plain,
    ( ? [X0,X1,X2,X3,X4,X5] :
        ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
        & vtcheck(X2,vabs(X3,X4,veabs),X5)
        & ~ visFreeVar(X0,vabs(X3,X4,veabs)) )
   => ( ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
      & vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
      & ~ visFreeVar(sK0,vabs(sK3,sK4,veabs)) ) ),
    introduced(choice_axiom,[]) ).

fof(f78,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      & vtcheck(X2,vabs(X3,X4,veabs),X5)
      & ~ visFreeVar(X0,vabs(X3,X4,veabs)) ),
    inference(flattening,[],[f77]) ).

fof(f77,plain,
    ? [X0,X1,X2,X3,X4,X5] :
      ( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      & vtcheck(X2,vabs(X3,X4,veabs),X5)
      & ~ visFreeVar(X0,vabs(X3,X4,veabs)) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f62,plain,
    ~ ! [X0,X1,X2,X3,X4,X5] :
        ( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
          & ~ visFreeVar(X0,vabs(X3,X4,veabs)) )
       => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    inference(rectify,[],[f61]) ).

fof(f61,negated_conjecture,
    ~ ! [X8,X9,X19,X20,X34,X14] :
        ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
          & ~ visFreeVar(X8,vabs(X20,X34,veabs)) )
       => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    inference(negated_conjecture,[],[f60]) ).

fof(f60,conjecture,
    ! [X8,X9,X19,X20,X34,X14] :
      ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
        & ~ visFreeVar(X8,vabs(X20,X34,veabs)) )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    file('/export/starexec/sandbox/tmp/tmp.YP71TbVpyY/Vampire---4.8_29867','T-Weak-FreeVar-abs') ).

fof(f185,plain,
    ( ~ vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
    | visFreeVar(sK3,vabs(sK3,sK4,veabs))
    | ~ spl6_1 ),
    inference(resolution,[],[f182,f164]) ).

fof(f164,plain,
    ! [X2,X3,X1,X4,X5] :
      ( vtcheck(vbind(X3,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | visFreeVar(X3,vabs(X3,X4,veabs)) ),
    inference(equality_resolution,[],[f128]) ).

fof(f128,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | visFreeVar(X0,vabs(X3,X4,veabs))
      | X0 != X3 ),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | visFreeVar(X0,vabs(X3,X4,veabs))
      | X0 != X3 ),
    inference(flattening,[],[f95]) ).

fof(f95,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | visFreeVar(X0,vabs(X3,X4,veabs))
      | X0 != X3 ),
    inference(ennf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
        & ~ visFreeVar(X0,vabs(X3,X4,veabs))
        & X0 = X3 )
     => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    inference(rectify,[],[f59]) ).

fof(f59,axiom,
    ! [X8,X9,X19,X20,X34,X14] :
      ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
        & ~ visFreeVar(X8,vabs(X20,X34,veabs))
        & X8 = X20 )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    file('/export/starexec/sandbox/tmp/tmp.YP71TbVpyY/Vampire---4.8_29867','T-Weak-FreeVar-abs-2') ).

fof(f182,plain,
    ( ~ vtcheck(vbind(sK3,sK1,sK2),vabs(sK3,sK4,veabs),sK5)
    | ~ spl6_1 ),
    inference(superposition,[],[f108,f172]) ).

fof(f172,plain,
    ( sK0 = sK3
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f170]) ).

fof(f170,plain,
    ( spl6_1
  <=> sK0 = sK3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f108,plain,
    ~ vtcheck(vbind(sK0,sK1,sK2),vabs(sK3,sK4,veabs),sK5),
    inference(cnf_transformation,[],[f105]) ).

fof(f181,plain,
    spl6_1,
    inference(avatar_split_clause,[],[f180,f170]) ).

fof(f180,plain,
    sK0 = sK3,
    inference(subsumption_resolution,[],[f179,f106]) ).

fof(f106,plain,
    ~ visFreeVar(sK0,vabs(sK3,sK4,veabs)),
    inference(cnf_transformation,[],[f105]) ).

fof(f179,plain,
    ( visFreeVar(sK0,vabs(sK3,sK4,veabs))
    | sK0 = sK3 ),
    inference(subsumption_resolution,[],[f178,f107]) ).

fof(f178,plain,
    ( ~ vtcheck(sK2,vabs(sK3,sK4,veabs),sK5)
    | visFreeVar(sK0,vabs(sK3,sK4,veabs))
    | sK0 = sK3 ),
    inference(resolution,[],[f108,f129]) ).

fof(f129,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | visFreeVar(X0,vabs(X3,X4,veabs))
      | X0 = X3 ),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | visFreeVar(X0,vabs(X3,X4,veabs))
      | X0 = X3 ),
    inference(flattening,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
      | ~ vtcheck(X2,vabs(X3,X4,veabs),X5)
      | visFreeVar(X0,vabs(X3,X4,veabs))
      | X0 = X3 ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( vtcheck(X2,vabs(X3,X4,veabs),X5)
        & ~ visFreeVar(X0,vabs(X3,X4,veabs))
        & X0 != X3 )
     => vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
    inference(rectify,[],[f58]) ).

fof(f58,axiom,
    ! [X8,X9,X19,X20,X34,X14] :
      ( ( vtcheck(X19,vabs(X20,X34,veabs),X14)
        & ~ visFreeVar(X8,vabs(X20,X34,veabs))
        & X8 != X20 )
     => vtcheck(vbind(X8,X9,X19),vabs(X20,X34,veabs),X14) ),
    file('/export/starexec/sandbox/tmp/tmp.YP71TbVpyY/Vampire---4.8_29867','T-Weak-FreeVar-abs-1') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : COM125+1 : TPTP v8.1.2. Released v6.4.0.
% 0.10/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34  % Computer : n029.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Fri May  3 21:25:38 EDT 2024
% 0.15/0.34  % CPUTime    : 
% 0.15/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.YP71TbVpyY/Vampire---4.8_29867
% 0.56/0.73  % (30174)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)
% 0.56/0.74  % (30168)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)
% 0.56/0.74  % (30170)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (30169)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)
% 0.56/0.74  % (30171)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)
% 0.56/0.74  % (30172)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)
% 0.56/0.74  % (30173)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)
% 0.56/0.74  % (30175)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)
% 0.56/0.74  % (30175)Refutation not found, incomplete strategy% (30175)------------------------------
% 0.56/0.74  % (30175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (30175)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (30175)Memory used [KB]: 1086
% 0.56/0.74  % (30175)Time elapsed: 0.003 s
% 0.56/0.74  % (30175)Instructions burned: 4 (million)
% 0.56/0.74  % (30173)First to succeed.
% 0.56/0.74  % (30175)------------------------------
% 0.56/0.74  % (30175)------------------------------
% 0.56/0.74  % (30173)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30109"
% 0.56/0.74  % (30170)Also succeeded, but the first one will report.
% 0.56/0.74  % (30173)Refutation found. Thanks to Tanya!
% 0.56/0.74  % SZS status Theorem for Vampire---4
% 0.56/0.74  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74  % (30173)------------------------------
% 0.56/0.74  % (30173)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (30173)Termination reason: Refutation
% 0.56/0.74  
% 0.56/0.74  % (30173)Memory used [KB]: 1145
% 0.56/0.74  % (30173)Time elapsed: 0.005 s
% 0.56/0.74  % (30173)Instructions burned: 6 (million)
% 0.56/0.74  % (30109)Success in time 0.388 s
% 0.56/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------