TSTP Solution File: NUM843+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM843+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : Sun May  5 08:15:57 EDT 2024

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (  11 unt;   0 def)
%            Number of atoms       :   44 (  12 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   38 (  15   ~;  17   |;   4   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f282,plain,
    $false,
    inference(subsumption_resolution,[],[f275,f205]) ).

fof(f205,plain,
    ! [X1] : leq(X1,X1),
    inference(equality_resolution,[],[f173]) ).

fof(f173,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        | ( X0 != X1
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | ~ leq(X1,X0) ) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( ( leq(X1,X0)
        | ( X0 != X1
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | ~ leq(X1,X0) ) ),
    inference(nnf_transformation,[],[f79]) ).

fof(f79,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
    <=> ( X0 = X1
        | less(X1,X0) ) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X36,X37] :
      ( leq(X37,X36)
    <=> ( X36 = X37
        | less(X37,X36) ) ),
    file('/export/starexec/sandbox/tmp/tmp.zJeSHCsEfk/Vampire---4.8_4494','def(cond(conseq(axiom(3)), 17), 1)') ).

fof(f275,plain,
    ~ leq(vd390,vd390),
    inference(backward_demodulation,[],[f136,f272]) ).

fof(f272,plain,
    vd390 = vd391,
    inference(subsumption_resolution,[],[f271,f134]) ).

fof(f134,plain,
    ~ greater(vd390,vd391),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ~ greater(vd390,vd391),
    inference(flattening,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ greater(vd390,vd391),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    greater(vd390,vd391),
    file('/export/starexec/sandbox/tmp/tmp.zJeSHCsEfk/Vampire---4.8_4494','holds(244, 394, 0)') ).

fof(f271,plain,
    ( greater(vd390,vd391)
    | vd390 = vd391 ),
    inference(resolution,[],[f155,f212]) ).

fof(f212,plain,
    ~ less(vd390,vd391),
    inference(resolution,[],[f172,f136]) ).

fof(f172,plain,
    ! [X0,X1] :
      ( leq(X1,X0)
      | ~ less(X1,X0) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( less(X0,X1)
      | greater(X0,X1)
      | X0 = X1 ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X44,X45] :
      ( less(X44,X45)
      | greater(X44,X45)
      | X44 = X45 ),
    file('/export/starexec/sandbox/tmp/tmp.zJeSHCsEfk/Vampire---4.8_4494','ass(cond(goal(130), 0), 0)') ).

fof(f136,plain,
    ~ leq(vd390,vd391),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ~ leq(vd390,vd391),
    file('/export/starexec/sandbox/tmp/tmp.zJeSHCsEfk/Vampire---4.8_4494','holds(conjunct2(243), 393, 0)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM843+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13  % 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
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 15:11:08 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_CAX_RFO_SEQ problem
% 0.12/0.35  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.zJeSHCsEfk/Vampire---4.8_4494
% 0.57/0.74  % (4602)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)
% 0.57/0.74  % (4605)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)
% 0.57/0.74  % (4606)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)
% 0.57/0.74  % (4607)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)
% 0.57/0.74  % (4603)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)
% 0.57/0.74  % (4604)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74  % (4609)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)
% 0.57/0.74  % (4608)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)
% 0.57/0.75  % (4606)Refutation not found, incomplete strategy% (4606)------------------------------
% 0.57/0.75  % (4606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (4607)Refutation not found, incomplete strategy% (4607)------------------------------
% 0.57/0.75  % (4607)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (4607)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (4607)Memory used [KB]: 1040
% 0.57/0.75  % (4607)Time elapsed: 0.003 s
% 0.57/0.75  % (4607)Instructions burned: 4 (million)
% 0.57/0.75  % (4606)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (4606)Memory used [KB]: 1049
% 0.57/0.75  % (4606)Time elapsed: 0.003 s
% 0.57/0.75  % (4606)Instructions burned: 4 (million)
% 0.57/0.75  % (4607)------------------------------
% 0.57/0.75  % (4607)------------------------------
% 0.57/0.75  % (4606)------------------------------
% 0.57/0.75  % (4606)------------------------------
% 0.57/0.75  % (4602)Refutation not found, incomplete strategy% (4602)------------------------------
% 0.57/0.75  % (4602)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (4602)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75  
% 0.57/0.75  % (4602)Memory used [KB]: 1070
% 0.57/0.75  % (4602)Time elapsed: 0.004 s
% 0.57/0.75  % (4602)Instructions burned: 6 (million)
% 0.57/0.75  % (4602)------------------------------
% 0.57/0.75  % (4602)------------------------------
% 0.57/0.75  % (4608)Also succeeded, but the first one will report.
% 0.57/0.75  % (4604)First to succeed.
% 0.57/0.75  % (4604)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4601"
% 0.57/0.75  % (4611)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)
% 0.57/0.75  % (4604)Refutation found. Thanks to Tanya!
% 0.57/0.75  % SZS status Theorem for Vampire---4
% 0.57/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75  % (4604)------------------------------
% 0.57/0.75  % (4604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75  % (4604)Termination reason: Refutation
% 0.57/0.75  
% 0.57/0.75  % (4604)Memory used [KB]: 1102
% 0.57/0.75  % (4604)Time elapsed: 0.006 s
% 0.57/0.75  % (4604)Instructions burned: 9 (million)
% 0.57/0.75  % (4601)Success in time 0.395 s
% 0.57/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------