TSTP Solution File: SWV141+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV141+1 : TPTP v8.1.2. Bugfixed 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n025.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 : Wed May  1 04:02:41 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   35 (   7 unt;   0 def)
%            Number of atoms       :  176 (   7 equ)
%            Maximal formula atoms :   27 (   5 avg)
%            Number of connectives :  195 (  54   ~;  54   |;  56   &)
%                                         (   3 <=>;  28  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f253,plain,
    $false,
    inference(avatar_sat_refutation,[],[f170,f202,f245,f252]) ).

fof(f252,plain,
    ( spl0_1
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f251]) ).

fof(f251,plain,
    ( $false
    | spl0_1
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f249,f133]) ).

fof(f133,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox/tmp/tmp.vtujkCGt4K/Vampire---4.8_28716',gt_1_0) ).

fof(f249,plain,
    ( ~ gt(n1,n0)
    | spl0_1
    | ~ spl0_9 ),
    inference(superposition,[],[f153,f201]) ).

fof(f201,plain,
    ( n1 = loopcounter
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f199,plain,
    ( spl0_9
  <=> n1 = loopcounter ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f153,plain,
    ( ~ gt(loopcounter,n0)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f151,plain,
    ( spl0_1
  <=> gt(loopcounter,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f245,plain,
    ( spl0_1
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f244]) ).

fof(f244,plain,
    ( $false
    | spl0_1
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f241,f133]) ).

fof(f241,plain,
    ( ~ gt(n1,n0)
    | spl0_1
    | ~ spl0_8 ),
    inference(resolution,[],[f206,f197]) ).

fof(f197,plain,
    ( gt(loopcounter,n1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f195,plain,
    ( spl0_8
  <=> gt(loopcounter,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f206,plain,
    ( ! [X0] :
        ( ~ gt(loopcounter,X0)
        | ~ gt(X0,n0) )
    | spl0_1 ),
    inference(resolution,[],[f153,f126]) ).

fof(f126,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(flattening,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( gt(X1,X2)
        & gt(X0,X1) )
     => gt(X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.vtujkCGt4K/Vampire---4.8_28716',transitivity_gt) ).

fof(f202,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f193,f199,f195]) ).

fof(f193,plain,
    ( n1 = loopcounter
    | gt(loopcounter,n1) ),
    inference(resolution,[],[f109,f123]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | X0 = X1
      | gt(X1,X0) ),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f89]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & leq(X0,X1) )
     => gt(X1,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.vtujkCGt4K/Vampire---4.8_28716',leq_gt2) ).

fof(f109,plain,
    leq(n1,loopcounter),
    inference(cnf_transformation,[],[f88]) ).

fof(f88,plain,
    ( ~ leq(n0,s_worst7)
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_best7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_worst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_sworst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_worst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_best7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_sworst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_best7)
      | leq(tptp_float_0_001,pv1341) )
    & leq(n1,loopcounter)
    & leq(tptp_float_0_001,pv1341) ),
    inference(flattening,[],[f87]) ).

fof(f87,plain,
    ( ~ leq(n0,s_worst7)
    & ( leq(s_worst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_sworst7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_best7,n3)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_worst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_sworst7)
      | ~ gt(loopcounter,n0) )
    & ( leq(n0,s_best7)
      | ~ gt(loopcounter,n0) )
    & ( leq(s_worst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_sworst7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(s_best7,n3)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_worst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_sworst7)
      | leq(tptp_float_0_001,pv1341) )
    & ( leq(n0,s_best7)
      | leq(tptp_float_0_001,pv1341) )
    & leq(n1,loopcounter)
    & leq(tptp_float_0_001,pv1341) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n0)
         => leq(s_worst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & leq(n1,loopcounter)
        & leq(tptp_float_0_001,pv1341) )
     => leq(n0,s_worst7) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ( gt(loopcounter,n0)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & leq(n1,loopcounter)
      & leq(tptp_float_0_001,pv1341) )
   => leq(n0,s_worst7) ),
    file('/export/starexec/sandbox/tmp/tmp.vtujkCGt4K/Vampire---4.8_28716',gauss_array_0011) ).

fof(f170,plain,
    ~ spl0_1,
    inference(avatar_split_clause,[],[f169,f151]) ).

fof(f169,plain,
    ~ gt(loopcounter,n0),
    inference(subsumption_resolution,[],[f118,f122]) ).

fof(f122,plain,
    ~ leq(n0,s_worst7),
    inference(cnf_transformation,[],[f88]) ).

fof(f118,plain,
    ( leq(n0,s_worst7)
    | ~ gt(loopcounter,n0) ),
    inference(cnf_transformation,[],[f88]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : SWV141+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.05/0.12  % 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
% 0.11/0.32  % Computer : n025.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 18:47:26 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32  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.vtujkCGt4K/Vampire---4.8_28716
% 0.60/0.78  % (28832)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.78  % (28831)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 (2995ds/34Mi)
% 0.60/0.78  % (28830)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.78  % (28827)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 (2995ds/34Mi)
% 0.60/0.78  % (28833)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 (2995ds/83Mi)
% 0.60/0.78  % (28829)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78  % (28828)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 (2995ds/51Mi)
% 0.60/0.78  % (28834)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 (2995ds/56Mi)
% 0.60/0.79  % (28832)First to succeed.
% 0.60/0.79  % (28829)Also succeeded, but the first one will report.
% 0.60/0.79  % (28832)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for Vampire---4
% 0.60/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79  % (28832)------------------------------
% 0.60/0.79  % (28832)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79  % (28832)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (28832)Memory used [KB]: 1113
% 0.60/0.79  % (28832)Time elapsed: 0.005 s
% 0.60/0.79  % (28832)Instructions burned: 6 (million)
% 0.60/0.79  % (28832)------------------------------
% 0.60/0.79  % (28832)------------------------------
% 0.60/0.79  % (28825)Success in time 0.462 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------